Left Termination proof of /tmp/tmpxLrFkO/quot1.pl

Left Termination of the query pattern div_in_3(g, g, a) w.r.t. the given Prolog program could successfully be proven:

0 Prolog

↳1 PrologToPrologProblemTransformerProof (⇐)

↳2 Prolog

↳3 PrologToPiTRSProof (⇐)

↳4 PiTRS

↳5 DependencyPairsProof (⇔)

↳6 PiDP

↳7 DependencyGraphProof (⇔)

↳8 AND

    ↳9 PiDP

        ↳10 UsableRulesProof (⇔)

            ↳11 PiDP

                ↳12 PiDPToQDPProof (⇔)

                    ↳13 QDP

                        ↳14 QDPSizeChangeProof (⇔)

                            ↳15 TRUE

    ↳16 PiDP

        ↳17 UsableRulesProof (⇔)

            ↳18 PiDP

                ↳19 PiDPToQDPProof (⇐)

                    ↳20 QDP

                        ↳21 QDPSizeChangeProof (⇔)

                            ↳22 TRUE

    ↳23 PiDP

        ↳24 UsableRulesProof (⇔)

            ↳25 PiDP

                ↳26 PiDPToQDPProof (⇔)

                    ↳27 QDP

                        ↳28 QDPSizeChangeProof (⇔)

                            ↳29 TRUE

    ↳30 PiDP

        ↳31 UsableRulesProof (⇔)

            ↳32 PiDP

                ↳33 PiDPToQDPProof (⇐)

                    ↳34 QDP

                        ↳35 QDPSizeChangeProof (⇔)

                            ↳36 TRUE

    ↳37 PiDP

        ↳38 UsableRulesProof (⇔)

            ↳39 PiDP

                ↳40 PiDPToQDPProof (⇔)

                    ↳41 QDP

                        ↳42 QDPSizeChangeProof (⇔)

                            ↳43 TRUE

    ↳44 PiDP

        ↳45 UsableRulesProof (⇔)

            ↳46 PiDP

                ↳47 PiDPToQDPProof (⇐)

                    ↳48 QDP

                        ↳49 QDPSizeChangeProof (⇔)

                            ↳50 TRUE

    ↳51 PiDP

        ↳52 UsableRulesProof (⇔)

            ↳53 PiDP

                ↳54 PiDPToQDPProof (⇔)

                    ↳55 QDP

                        ↳56 QDPSizeChangeProof (⇔)

                            ↳57 TRUE

    ↳58 PiDP

        ↳59 UsableRulesProof (⇔)

            ↳60 PiDP

                ↳61 PiDPToQDPProof (⇐)

                    ↳62 QDP

                        ↳63 QDPSizeChangeProof (⇔)

                            ↳64 TRUE

    ↳65 PiDP

        ↳66 UsableRulesProof (⇔)

            ↳67 PiDP

                ↳68 PiDPToQDPProof (⇔)

                    ↳69 QDP

                        ↳70 QDPSizeChangeProof (⇔)

                            ↳71 TRUE

    ↳72 PiDP

        ↳73 UsableRulesProof (⇔)

            ↳74 PiDP

                ↳75 PiDPToQDPProof (⇐)

                    ↳76 QDP

                        ↳77 QDPSizeChangeProof (⇔)

                            ↳78 TRUE

    ↳79 PiDP

        ↳80 UsableRulesProof (⇔)

            ↳81 PiDP

                ↳82 PiDPToQDPProof (⇔)

                    ↳83 QDP

                        ↳84 QDPSizeChangeProof (⇔)

                            ↳85 TRUE

    ↳86 PiDP

        ↳87 UsableRulesProof (⇔)

            ↳88 PiDP

                ↳89 PiDPToQDPProof (⇐)

                    ↳90 QDP

                        ↳91 QDPSizeChangeProof (⇔)

                            ↳92 TRUE

    ↳93 PiDP

        ↳94 UsableRulesProof (⇔)

            ↳95 PiDP

                ↳96 PiDPToQDPProof (⇐)

                    ↳97 QDP

                        ↳98 QDPSizeChangeProof (⇔)

                            ↳99 TRUE

    ↳100 PiDP

        ↳101 UsableRulesProof (⇔)

            ↳102 PiDP

                ↳103 PiDPToQDPProof (⇐)

                    ↳104 QDP

                        ↳105 QDPSizeChangeProof (⇔)

                            ↳106 TRUE

    ↳107 PiDP

        ↳108 UsableRulesProof (⇔)

            ↳109 PiDP

                ↳110 PiDPToQDPProof (⇐)

                    ↳111 QDP

                        ↳112 QDPSizeChangeProof (⇔)

                            ↳113 TRUE

(0) Obligation:

Clauses:

div(X, Y, Z) :- quot(X, Y, Y, Z).
quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0)).
quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P)))).
quot(s(X), Y, Z, U) :- ','(p(Y, P), quot(X, P, Z, U)).
p(0, 0).
p(s(X), X).
eq(X, X).

Queries:

div(g,g,a).

(1) PrologToPrologProblemTransformerProof (SOUND transformation)

Built Prolog problem from termination graph.

digraph dp_graph {
node [outthreshold=100, inthreshold=100];
1 [label="1: div(T1, T2, T3)\n\nT1 is ground\nT2 is ground", fontsize=16, style=filled, fillcolor=lightyellow, color=red];
2 [label="2: div(T1, T2, T3), SCOPE: 1, CLAUSE: 0\n\nT1 is ground\nT2 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3 [label="3: quot(T4, T5, T5, T7)\n\nT4 is ground\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4 [label="4: quot(T4, T5, T5, T7), SCOPE: 2, CLAUSE: 1 | quot(T4, T5, T5, T7), SCOPE: 2, CLAUSE: 2 | quot(T4, T5, T5, T7), SCOPE: 2, CLAUSE: 3 | ?_2\n\nT4 is ground\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
5 [label="5: ','(!_2, eq(T10, 0)) | quot(0, s(T8), s(T8), T7), SCOPE: 2, CLAUSE: 2 | quot(0, s(T8), s(T8), T7), SCOPE: 2, CLAUSE: 3 | ?_2\n\nT8 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
6 [label="6: quot(T4, T5, T5, T7), SCOPE: 2, CLAUSE: 2 | quot(T4, T5, T5, T7), SCOPE: 2, CLAUSE: 3 | ?_2\n\nT4 is ground\nT5 is ground\nX11 is free; \nX12 is free; \nX13 is free; \nquot(T4, T5, T5, T7) !=? quot(0, s(X11), s(X12), X13)", fontsize=16, style=filled, fillcolor=lightyellow];
7 [label="7: eq(T10, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
8 [label="8: eq(T10, 0), SCOPE: 3, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
9 [label="9: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
10 [label="10: \n\nX15 is free", fontsize=16, style=filled, fillcolor=lightyellow];
11 [label="11: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
12 [label="12: ','(!_2, ','(eq(0, s(X22)), ','(p(T14, X23), quot(T12, 0, 0, X23)))) | quot(T12, 0, 0, T7), SCOPE: 2, CLAUSE: 3 | ?_2\n\nT12 is ground\nX11 is free; \nX12 is free; \nX13 is free; \nX22 is free; \nX23 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
13 [label="13: quot(T4, T5, T5, T7), SCOPE: 2, CLAUSE: 3\n\nT4 is ground\nT5 is ground\nX11 is free; \nX12 is free; \nX13 is free; \nX19 is free; \nX20 is free; \nX21 is free; \nquot(T4, T5, T5, T7) !=? quot(0, s(X11), s(X12), X13)\nquot(T4, T5, T5, T7) !=? quot(X19, 0, X20, X21)", fontsize=16, style=filled, fillcolor=lightyellow];
14 [label="14: ','(eq(0, s(X22)), ','(p(T14, X23), quot(T12, 0, 0, X23)))\n\nT12 is ground\nX22 is free; \nX23 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
15 [label="15: ','(eq(0, s(X22)), ','(p(T14, X23), quot(T12, 0, 0, X23))), SCOPE: 4, CLAUSE: 6\n\nT12 is ground\nX22 is free; \nX23 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
16 [label="16: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
17 [label="17: ','(p(T16, X33), quot(T15, X33, T16, T18))\n\nT15 is ground\nT16 is ground\nX11 is free; \nX12 is free; \nX13 is free; \nX19 is free; \nX20 is free; \nX21 is free; \nX33 is free; \nquot(s(T15), T16, T16, T7) !=? quot(X19, 0, X20, X21)", fontsize=16, style=filled, fillcolor=lightyellow];
18 [label="18: \n\nX11 is free\nX12 is free; \nX13 is free; \nX19 is free; \nX20 is free; \nX21 is free; \nX29 is free; \nX30 is free; \nX31 is free; \nX32 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
19 [label="19: ','(p(T16, X33), quot(T15, X33, T16, T18)), SCOPE: 5, CLAUSE: 4 | ','(p(T16, X33), quot(T15, X33, T16, T18)), SCOPE: 5, CLAUSE: 5\n\nT15 is ground\nT16 is ground\nX19 is free; \nX20 is free; \nX21 is free; \nX33 is free; \nquot(s(T15), T16, T16, T7) !=? quot(X19, 0, X20, X21)", fontsize=16, style=filled, fillcolor=lightyellow];
20 [label="20: ','(p(T16, X33), quot(T15, X33, T16, T18)), SCOPE: 5, CLAUSE: 5\n\nT15 is ground\nT16 is ground\nX19 is free; \nX20 is free; \nX21 is free; \nX33 is free; \nquot(s(T15), T16, T16, T7) !=? quot(X19, 0, X20, X21)\np(T16, X33) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
21 [label="21: quot(T15, T19, s(T19), T18)\n\nT15 is ground\nT19 is ground\nX19 is free; \nX20 is free; \nX21 is free; \nX33 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
22 [label="22: \n\nX19 is free\nX20 is free; \nX21 is free; \nX33 is free; \nX35 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
23 [label="23: quot(T15, T19, s(T19), T18), SCOPE: 6, CLAUSE: 1 | quot(T15, T19, s(T19), T18), SCOPE: 6, CLAUSE: 2 | quot(T15, T19, s(T19), T18), SCOPE: 6, CLAUSE: 3 | ?_6\n\nT15 is ground\nT19 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
24 [label="24: ','(!_6, eq(T22, 0)) | quot(0, s(T20), s(s(T20)), T18), SCOPE: 6, CLAUSE: 2 | quot(0, s(T20), s(s(T20)), T18), SCOPE: 6, CLAUSE: 3 | ?_6\n\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
25 [label="25: quot(T15, T19, s(T19), T18), SCOPE: 6, CLAUSE: 2 | quot(T15, T19, s(T19), T18), SCOPE: 6, CLAUSE: 3 | ?_6\n\nT15 is ground\nT19 is ground\nX39 is free; \nX40 is free; \nX41 is free; \nquot(T15, T19, s(T19), T18) !=? quot(0, s(X39), s(X40), X41)", fontsize=16, style=filled, fillcolor=lightyellow];
26 [label="26: eq(T22, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
27 [label="27: eq(T22, 0), SCOPE: 7, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
28 [label="28: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
29 [label="29: \n\nX43 is free", fontsize=16, style=filled, fillcolor=lightyellow];
30 [label="30: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
31 [label="31: ','(!_6, ','(eq(s(0), s(X50)), ','(p(T26, X51), quot(T24, s(0), s(0), X51)))) | quot(T24, 0, s(0), T18), SCOPE: 6, CLAUSE: 3 | ?_6\n\nT24 is ground\nX39 is free; \nX40 is free; \nX41 is free; \nX50 is free; \nX51 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
32 [label="32: quot(T15, T19, s(T19), T18), SCOPE: 6, CLAUSE: 3\n\nT15 is ground\nT19 is ground\nX39 is free; \nX40 is free; \nX41 is free; \nX47 is free; \nX48 is free; \nX49 is free; \nquot(T15, T19, s(T19), T18) !=? quot(0, s(X39), s(X40), X41)\nquot(T15, T19, s(T19), T18) !=? quot(X47, 0, X48, X49)", fontsize=16, style=filled, fillcolor=lightyellow];
33 [label="33: ','(eq(s(0), s(X50)), ','(p(T26, X51), quot(T24, s(0), s(0), X51)))\n\nT24 is ground\nX50 is free; \nX51 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
34 [label="34: ','(eq(s(0), s(X50)), ','(p(T26, X51), quot(T24, s(0), s(0), X51))), SCOPE: 8, CLAUSE: 6\n\nT24 is ground\nX50 is free; \nX51 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
35 [label="35: ','(p(T26, X51), quot(T24, s(0), s(0), X51))\n\nT24 is ground\nX51 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
36 [label="36: ','(p(T26, X51), quot(T24, s(0), s(0), X51)), SCOPE: 9, CLAUSE: 4 | ','(p(T26, X51), quot(T24, s(0), s(0), X51)), SCOPE: 9, CLAUSE: 5\n\nT24 is ground\nX51 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
37 [label="37: quot(T24, s(0), s(0), 0) | ','(p(T26, X51), quot(T24, s(0), s(0), X51)), SCOPE: 9, CLAUSE: 5\n\nT24 is ground\nX51 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
38 [label="38: ','(p(T26, X51), quot(T24, s(0), s(0), X51)), SCOPE: 9, CLAUSE: 5\n\nT24 is ground\nX51 is free; \np(T26, X51) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
39 [label="39: quot(T24, s(0), s(0), 0)\n\nT24 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
40 [label="40: ','(p(T26, X51), quot(T24, s(0), s(0), X51)), SCOPE: 9, CLAUSE: 5\n\nT24 is ground\nX51 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
41 [label="41: quot(T24, s(0), s(0), 0), SCOPE: 10, CLAUSE: 1 | quot(T24, s(0), s(0), 0), SCOPE: 10, CLAUSE: 2 | quot(T24, s(0), s(0), 0), SCOPE: 10, CLAUSE: 3 | ?_10\n\nT24 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
42 [label="42: ','(!_10, eq(0, 0)) | quot(0, s(0), s(0), 0), SCOPE: 10, CLAUSE: 2 | quot(0, s(0), s(0), 0), SCOPE: 10, CLAUSE: 3 | ?_10\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
43 [label="43: quot(T24, s(0), s(0), 0), SCOPE: 10, CLAUSE: 2 | quot(T24, s(0), s(0), 0), SCOPE: 10, CLAUSE: 3 | ?_10\n\nT24 is ground\nX57 is free; \nX58 is free; \nX59 is free; \nquot(T24, s(0), s(0), 0) !=? quot(0, s(X57), s(X58), X59)", fontsize=16, style=filled, fillcolor=lightyellow];
44 [label="44: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
45 [label="45: eq(0, 0), SCOPE: 11, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
46 [label="46: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
47 [label="47: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
48 [label="48: quot(T24, s(0), s(0), 0), SCOPE: 10, CLAUSE: 3\n\nT24 is ground\nX57 is free; \nX58 is free; \nX59 is free; \nquot(T24, s(0), s(0), 0) !=? quot(0, s(X57), s(X58), X59)", fontsize=16, style=filled, fillcolor=lightyellow];
49 [label="49: ','(p(s(0), X73), quot(T27, X73, s(0), 0))\n\nT27 is ground\nX57 is free; \nX58 is free; \nX59 is free; \nX73 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
50 [label="50: \n\nX57 is free\nX58 is free; \nX59 is free; \nX69 is free; \nX70 is free; \nX71 is free; \nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
51 [label="51: ','(p(s(0), X73), quot(T27, X73, s(0), 0)), SCOPE: 12, CLAUSE: 4 | ','(p(s(0), X73), quot(T27, X73, s(0), 0)), SCOPE: 12, CLAUSE: 5\n\nT27 is ground\nX73 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
52 [label="52: ','(p(s(0), X73), quot(T27, X73, s(0), 0)), SCOPE: 12, CLAUSE: 5\n\nT27 is ground\nX73 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
53 [label="53: quot(T27, 0, s(0), 0)\n\nT27 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
54 [label="54: quot(T27, 0, s(0), 0), SCOPE: 13, CLAUSE: 1 | quot(T27, 0, s(0), 0), SCOPE: 13, CLAUSE: 2 | quot(T27, 0, s(0), 0), SCOPE: 13, CLAUSE: 3 | ?_13\n\nT27 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
55 [label="55: quot(T27, 0, s(0), 0), SCOPE: 13, CLAUSE: 2 | quot(T27, 0, s(0), 0), SCOPE: 13, CLAUSE: 3 | ?_13\n\nT27 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
56 [label="56: ','(!_13, ','(eq(s(0), s(X85)), ','(p(0, X86), quot(T28, s(0), s(0), X86)))) | quot(T28, 0, s(0), 0), SCOPE: 13, CLAUSE: 3 | ?_13\n\nT28 is ground\nX85 is free; \nX86 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
57 [label="57: ','(eq(s(0), s(X85)), ','(p(0, X86), quot(T28, s(0), s(0), X86)))\n\nT28 is ground\nX85 is free; \nX86 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
58 [label="58: ','(eq(s(0), s(X85)), ','(p(0, X86), quot(T28, s(0), s(0), X86))), SCOPE: 14, CLAUSE: 6\n\nT28 is ground\nX85 is free; \nX86 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
59 [label="59: ','(p(0, X86), quot(T28, s(0), s(0), X86))\n\nT28 is ground\nX86 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
60 [label="60: ','(p(0, X86), quot(T28, s(0), s(0), X86)), SCOPE: 15, CLAUSE: 4 | ','(p(0, X86), quot(T28, s(0), s(0), X86)), SCOPE: 15, CLAUSE: 5\n\nT28 is ground\nX86 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
61 [label="61: quot(T28, s(0), s(0), 0) | ','(p(0, X86), quot(T28, s(0), s(0), X86)), SCOPE: 15, CLAUSE: 5\n\nT28 is ground\nX86 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
62 [label="62: quot(T28, s(0), s(0), 0)\n\nT28 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
63 [label="63: ','(p(0, X86), quot(T28, s(0), s(0), X86)), SCOPE: 15, CLAUSE: 5\n\nT28 is ground\nX86 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
64 [label="64: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
65 [label="65: quot(T24, s(0), s(0), T30)\n\nT24 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
66 [label="66: \n\nX51 is free\nX91 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
67 [label="67: quot(T24, s(0), s(0), T30), SCOPE: 16, CLAUSE: 1 | quot(T24, s(0), s(0), T30), SCOPE: 16, CLAUSE: 2 | quot(T24, s(0), s(0), T30), SCOPE: 16, CLAUSE: 3 | ?_16\n\nT24 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
68 [label="68: ','(!_16, eq(T32, 0)) | quot(0, s(0), s(0), T30), SCOPE: 16, CLAUSE: 2 | quot(0, s(0), s(0), T30), SCOPE: 16, CLAUSE: 3 | ?_16\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
69 [label="69: quot(T24, s(0), s(0), T30), SCOPE: 16, CLAUSE: 2 | quot(T24, s(0), s(0), T30), SCOPE: 16, CLAUSE: 3 | ?_16\n\nT24 is ground\nX95 is free; \nX96 is free; \nX97 is free; \nquot(T24, s(0), s(0), T30) !=? quot(0, s(X95), s(X96), X97)", fontsize=16, style=filled, fillcolor=lightyellow];
70 [label="70: eq(T32, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
71 [label="71: eq(T32, 0), SCOPE: 17, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
72 [label="72: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
73 [label="73: \n\nX99 is free", fontsize=16, style=filled, fillcolor=lightyellow];
74 [label="74: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
75 [label="75: quot(T24, s(0), s(0), T30), SCOPE: 16, CLAUSE: 3\n\nT24 is ground\nX95 is free; \nX96 is free; \nX97 is free; \nquot(T24, s(0), s(0), T30) !=? quot(0, s(X95), s(X96), X97)", fontsize=16, style=filled, fillcolor=lightyellow];
76 [label="76: ','(p(s(0), X111), quot(T34, X111, s(0), T36))\n\nT34 is ground\nX95 is free; \nX96 is free; \nX97 is free; \nX111 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
77 [label="77: \n\nX95 is free\nX96 is free; \nX97 is free; \nX107 is free; \nX108 is free; \nX109 is free; \nX110 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
78 [label="78: ','(p(s(0), X111), quot(T34, X111, s(0), T36)), SCOPE: 18, CLAUSE: 4 | ','(p(s(0), X111), quot(T34, X111, s(0), T36)), SCOPE: 18, CLAUSE: 5\n\nT34 is ground\nX111 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
79 [label="79: ','(p(s(0), X111), quot(T34, X111, s(0), T36)), SCOPE: 18, CLAUSE: 5\n\nT34 is ground\nX111 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
80 [label="80: quot(T34, 0, s(0), T36)\n\nT34 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
81 [label="81: quot(T34, 0, s(0), T36), SCOPE: 19, CLAUSE: 1 | quot(T34, 0, s(0), T36), SCOPE: 19, CLAUSE: 2 | quot(T34, 0, s(0), T36), SCOPE: 19, CLAUSE: 3 | ?_19\n\nT34 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
82 [label="82: quot(T34, 0, s(0), T36), SCOPE: 19, CLAUSE: 2 | quot(T34, 0, s(0), T36), SCOPE: 19, CLAUSE: 3 | ?_19\n\nT34 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
83 [label="83: ','(!_19, ','(eq(s(0), s(X123)), ','(p(T39, X124), quot(T37, s(0), s(0), X124)))) | quot(T37, 0, s(0), T36), SCOPE: 19, CLAUSE: 3 | ?_19\n\nT37 is ground\nX123 is free; \nX124 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
84 [label="84: ','(eq(s(0), s(X123)), ','(p(T39, X124), quot(T37, s(0), s(0), X124)))\n\nT37 is ground\nX123 is free; \nX124 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
85 [label="85: ','(eq(s(0), s(X123)), ','(p(T39, X124), quot(T37, s(0), s(0), X124))), SCOPE: 20, CLAUSE: 6\n\nT37 is ground\nX123 is free; \nX124 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
86 [label="86: ','(p(T39, X124), quot(T37, s(0), s(0), X124))\n\nT37 is ground\nX124 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
87 [label="87: ','(p(T39, X124), quot(T37, s(0), s(0), X124)), SCOPE: 21, CLAUSE: 4 | ','(p(T39, X124), quot(T37, s(0), s(0), X124)), SCOPE: 21, CLAUSE: 5\n\nT37 is ground\nX124 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
88 [label="88: quot(T37, s(0), s(0), 0) | ','(p(T39, X124), quot(T37, s(0), s(0), X124)), SCOPE: 21, CLAUSE: 5\n\nT37 is ground\nX124 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
89 [label="89: ','(p(T39, X124), quot(T37, s(0), s(0), X124)), SCOPE: 21, CLAUSE: 5\n\nT37 is ground\nX124 is free; \np(T39, X124) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
90 [label="90: quot(T37, s(0), s(0), T41)\n\nT37 is ground\nX124 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
91 [label="91: \n\nX124 is free\nX128 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
92 [label="92: quot(T24, s(0), s(0), T43)\n\nT24 is ground\nX51 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
93 [label="93: \n\nX51 is free\nX130 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
94 [label="94: ','(p(T45, X139), quot(T44, X139, s(T45), T47))\n\nT44 is ground\nT45 is ground\nX39 is free; \nX40 is free; \nX41 is free; \nX47 is free; \nX48 is free; \nX49 is free; \nX139 is free; \nquot(s(T44), T45, s(T45), T18) !=? quot(X47, 0, X48, X49)", fontsize=16, style=filled, fillcolor=lightyellow];
95 [label="95: \n\nX39 is free\nX40 is free; \nX41 is free; \nX47 is free; \nX48 is free; \nX49 is free; \nX135 is free; \nX136 is free; \nX137 is free; \nX138 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
96 [label="96: ','(p(T45, X139), quot(T44, X139, s(T45), T47)), SCOPE: 22, CLAUSE: 4 | ','(p(T45, X139), quot(T44, X139, s(T45), T47)), SCOPE: 22, CLAUSE: 5\n\nT44 is ground\nT45 is ground\nX47 is free; \nX48 is free; \nX49 is free; \nX139 is free; \nquot(s(T44), T45, s(T45), T18) !=? quot(X47, 0, X48, X49)", fontsize=16, style=filled, fillcolor=lightyellow];
97 [label="97: ','(p(T45, X139), quot(T44, X139, s(T45), T47)), SCOPE: 22, CLAUSE: 5\n\nT44 is ground\nT45 is ground\nX47 is free; \nX48 is free; \nX49 is free; \nX139 is free; \nquot(s(T44), T45, s(T45), T18) !=? quot(X47, 0, X48, X49)\np(T45, X139) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
98 [label="98: quot(T44, T48, s(s(T48)), T47)\n\nT44 is ground\nT48 is ground\nX47 is free; \nX48 is free; \nX49 is free; \nX139 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
99 [label="99: \n\nX47 is free\nX48 is free; \nX49 is free; \nX139 is free; \nX141 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
100 [label="100: quot(T44, T48, s(s(T48)), T47), SCOPE: 23, CLAUSE: 1 | quot(T44, T48, s(s(T48)), T47), SCOPE: 23, CLAUSE: 2 | quot(T44, T48, s(s(T48)), T47), SCOPE: 23, CLAUSE: 3 | ?_23\n\nT44 is ground\nT48 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
101 [label="101: ','(!_23, eq(T51, 0)) | quot(0, s(T49), s(s(s(T49))), T47), SCOPE: 23, CLAUSE: 2 | quot(0, s(T49), s(s(s(T49))), T47), SCOPE: 23, CLAUSE: 3 | ?_23\n\nT49 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
102 [label="102: quot(T44, T48, s(s(T48)), T47), SCOPE: 23, CLAUSE: 2 | quot(T44, T48, s(s(T48)), T47), SCOPE: 23, CLAUSE: 3 | ?_23\n\nT44 is ground\nT48 is ground\nX145 is free; \nX146 is free; \nX147 is free; \nquot(T44, T48, s(s(T48)), T47) !=? quot(0, s(X145), s(X146), X147)", fontsize=16, style=filled, fillcolor=lightyellow];
103 [label="103: eq(T51, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
104 [label="104: eq(T51, 0), SCOPE: 24, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
105 [label="105: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
106 [label="106: \n\nX149 is free", fontsize=16, style=filled, fillcolor=lightyellow];
107 [label="107: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
108 [label="108: ','(!_23, ','(eq(s(s(0)), s(X156)), ','(p(T55, X157), quot(T53, s(s(0)), s(s(0)), X157)))) | quot(T53, 0, s(s(0)), T47), SCOPE: 23, CLAUSE: 3 | ?_23\n\nT53 is ground\nX145 is free; \nX146 is free; \nX147 is free; \nX156 is free; \nX157 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
109 [label="109: quot(T44, T48, s(s(T48)), T47), SCOPE: 23, CLAUSE: 3\n\nT44 is ground\nT48 is ground\nX145 is free; \nX146 is free; \nX147 is free; \nX153 is free; \nX154 is free; \nX155 is free; \nquot(T44, T48, s(s(T48)), T47) !=? quot(0, s(X145), s(X146), X147)\nquot(T44, T48, s(s(T48)), T47) !=? quot(X153, 0, X154, X155)", fontsize=16, style=filled, fillcolor=lightyellow];
110 [label="110: ','(eq(s(s(0)), s(X156)), ','(p(T55, X157), quot(T53, s(s(0)), s(s(0)), X157)))\n\nT53 is ground\nX156 is free; \nX157 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
111 [label="111: ','(eq(s(s(0)), s(X156)), ','(p(T55, X157), quot(T53, s(s(0)), s(s(0)), X157))), SCOPE: 25, CLAUSE: 6\n\nT53 is ground\nX156 is free; \nX157 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
112 [label="112: ','(p(T55, X157), quot(T53, s(s(0)), s(s(0)), X157))\n\nT53 is ground\nX157 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
113 [label="113: ','(p(T55, X157), quot(T53, s(s(0)), s(s(0)), X157)), SCOPE: 26, CLAUSE: 4 | ','(p(T55, X157), quot(T53, s(s(0)), s(s(0)), X157)), SCOPE: 26, CLAUSE: 5\n\nT53 is ground\nX157 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
114 [label="114: quot(T53, s(s(0)), s(s(0)), 0) | ','(p(T55, X157), quot(T53, s(s(0)), s(s(0)), X157)), SCOPE: 26, CLAUSE: 5\n\nT53 is ground\nX157 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
115 [label="115: ','(p(T55, X157), quot(T53, s(s(0)), s(s(0)), X157)), SCOPE: 26, CLAUSE: 5\n\nT53 is ground\nX157 is free; \np(T55, X157) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
116 [label="116: quot(T53, s(s(0)), s(s(0)), 0)\n\nT53 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
117 [label="117: ','(p(T55, X157), quot(T53, s(s(0)), s(s(0)), X157)), SCOPE: 26, CLAUSE: 5\n\nT53 is ground\nX157 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
118 [label="118: quot(T53, s(s(0)), s(s(0)), 0), SCOPE: 27, CLAUSE: 1 | quot(T53, s(s(0)), s(s(0)), 0), SCOPE: 27, CLAUSE: 2 | quot(T53, s(s(0)), s(s(0)), 0), SCOPE: 27, CLAUSE: 3 | ?_27\n\nT53 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
119 [label="119: ','(!_27, eq(0, 0)) | quot(0, s(s(0)), s(s(0)), 0), SCOPE: 27, CLAUSE: 2 | quot(0, s(s(0)), s(s(0)), 0), SCOPE: 27, CLAUSE: 3 | ?_27\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
120 [label="120: quot(T53, s(s(0)), s(s(0)), 0), SCOPE: 27, CLAUSE: 2 | quot(T53, s(s(0)), s(s(0)), 0), SCOPE: 27, CLAUSE: 3 | ?_27\n\nT53 is ground\nX163 is free; \nX164 is free; \nX165 is free; \nquot(T53, s(s(0)), s(s(0)), 0) !=? quot(0, s(X163), s(X164), X165)", fontsize=16, style=filled, fillcolor=lightyellow];
121 [label="121: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
122 [label="122: eq(0, 0), SCOPE: 28, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
123 [label="123: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
124 [label="124: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
125 [label="125: quot(T53, s(s(0)), s(s(0)), 0), SCOPE: 27, CLAUSE: 3\n\nT53 is ground\nX163 is free; \nX164 is free; \nX165 is free; \nquot(T53, s(s(0)), s(s(0)), 0) !=? quot(0, s(X163), s(X164), X165)", fontsize=16, style=filled, fillcolor=lightyellow];
126 [label="126: ','(p(s(s(0)), X179), quot(T56, X179, s(s(0)), 0))\n\nT56 is ground\nX163 is free; \nX164 is free; \nX165 is free; \nX179 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
127 [label="127: \n\nX163 is free\nX164 is free; \nX165 is free; \nX175 is free; \nX176 is free; \nX177 is free; \nX178 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
128 [label="128: ','(p(s(s(0)), X179), quot(T56, X179, s(s(0)), 0)), SCOPE: 29, CLAUSE: 4 | ','(p(s(s(0)), X179), quot(T56, X179, s(s(0)), 0)), SCOPE: 29, CLAUSE: 5\n\nT56 is ground\nX179 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
129 [label="129: ','(p(s(s(0)), X179), quot(T56, X179, s(s(0)), 0)), SCOPE: 29, CLAUSE: 5\n\nT56 is ground\nX179 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
130 [label="130: quot(T56, s(0), s(s(0)), 0)\n\nT56 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
131 [label="131: quot(T56, s(0), s(s(0)), 0), SCOPE: 30, CLAUSE: 1 | quot(T56, s(0), s(s(0)), 0), SCOPE: 30, CLAUSE: 2 | quot(T56, s(0), s(s(0)), 0), SCOPE: 30, CLAUSE: 3 | ?_30\n\nT56 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
132 [label="132: ','(!_30, eq(0, 0)) | quot(0, s(0), s(s(0)), 0), SCOPE: 30, CLAUSE: 2 | quot(0, s(0), s(s(0)), 0), SCOPE: 30, CLAUSE: 3 | ?_30\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
133 [label="133: quot(T56, s(0), s(s(0)), 0), SCOPE: 30, CLAUSE: 2 | quot(T56, s(0), s(s(0)), 0), SCOPE: 30, CLAUSE: 3 | ?_30\n\nT56 is ground\nX185 is free; \nX186 is free; \nX187 is free; \nquot(T56, s(0), s(s(0)), 0) !=? quot(0, s(X185), s(X186), X187)", fontsize=16, style=filled, fillcolor=lightyellow];
134 [label="134: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
135 [label="135: eq(0, 0), SCOPE: 31, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
136 [label="136: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
137 [label="137: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
138 [label="138: quot(T56, s(0), s(s(0)), 0), SCOPE: 30, CLAUSE: 3\n\nT56 is ground\nX185 is free; \nX186 is free; \nX187 is free; \nquot(T56, s(0), s(s(0)), 0) !=? quot(0, s(X185), s(X186), X187)", fontsize=16, style=filled, fillcolor=lightyellow];
139 [label="139: ','(p(s(0), X201), quot(T57, X201, s(s(0)), 0))\n\nT57 is ground\nX185 is free; \nX186 is free; \nX187 is free; \nX201 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
140 [label="140: \n\nX185 is free\nX186 is free; \nX187 is free; \nX197 is free; \nX198 is free; \nX199 is free; \nX200 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
141 [label="141: ','(p(s(0), X201), quot(T57, X201, s(s(0)), 0)), SCOPE: 32, CLAUSE: 4 | ','(p(s(0), X201), quot(T57, X201, s(s(0)), 0)), SCOPE: 32, CLAUSE: 5\n\nT57 is ground\nX201 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
142 [label="142: ','(p(s(0), X201), quot(T57, X201, s(s(0)), 0)), SCOPE: 32, CLAUSE: 5\n\nT57 is ground\nX201 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
143 [label="143: quot(T57, 0, s(s(0)), 0)\n\nT57 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
144 [label="144: quot(T57, 0, s(s(0)), 0), SCOPE: 33, CLAUSE: 1 | quot(T57, 0, s(s(0)), 0), SCOPE: 33, CLAUSE: 2 | quot(T57, 0, s(s(0)), 0), SCOPE: 33, CLAUSE: 3 | ?_33\n\nT57 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
145 [label="145: quot(T57, 0, s(s(0)), 0), SCOPE: 33, CLAUSE: 2 | quot(T57, 0, s(s(0)), 0), SCOPE: 33, CLAUSE: 3 | ?_33\n\nT57 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
146 [label="146: ','(!_33, ','(eq(s(s(0)), s(X213)), ','(p(0, X214), quot(T58, s(s(0)), s(s(0)), X214)))) | quot(T58, 0, s(s(0)), 0), SCOPE: 33, CLAUSE: 3 | ?_33\n\nT58 is ground\nX213 is free; \nX214 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
147 [label="147: ','(eq(s(s(0)), s(X213)), ','(p(0, X214), quot(T58, s(s(0)), s(s(0)), X214)))\n\nT58 is ground\nX213 is free; \nX214 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
148 [label="148: ','(eq(s(s(0)), s(X213)), ','(p(0, X214), quot(T58, s(s(0)), s(s(0)), X214))), SCOPE: 34, CLAUSE: 6\n\nT58 is ground\nX213 is free; \nX214 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
149 [label="149: ','(p(0, X214), quot(T58, s(s(0)), s(s(0)), X214))\n\nT58 is ground\nX214 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
150 [label="150: ','(p(0, X214), quot(T58, s(s(0)), s(s(0)), X214)), SCOPE: 35, CLAUSE: 4 | ','(p(0, X214), quot(T58, s(s(0)), s(s(0)), X214)), SCOPE: 35, CLAUSE: 5\n\nT58 is ground\nX214 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
151 [label="151: quot(T58, s(s(0)), s(s(0)), 0) | ','(p(0, X214), quot(T58, s(s(0)), s(s(0)), X214)), SCOPE: 35, CLAUSE: 5\n\nT58 is ground\nX214 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
152 [label="152: quot(T58, s(s(0)), s(s(0)), 0)\n\nT58 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
153 [label="153: ','(p(0, X214), quot(T58, s(s(0)), s(s(0)), X214)), SCOPE: 35, CLAUSE: 5\n\nT58 is ground\nX214 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
154 [label="154: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
155 [label="155: quot(T53, s(s(0)), s(s(0)), T60)\n\nT53 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
156 [label="156: \n\nX157 is free\nX219 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
157 [label="157: quot(T53, s(s(0)), s(s(0)), T60), SCOPE: 36, CLAUSE: 1 | quot(T53, s(s(0)), s(s(0)), T60), SCOPE: 36, CLAUSE: 2 | quot(T53, s(s(0)), s(s(0)), T60), SCOPE: 36, CLAUSE: 3 | ?_36\n\nT53 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
158 [label="158: ','(!_36, eq(T62, 0)) | quot(0, s(s(0)), s(s(0)), T60), SCOPE: 36, CLAUSE: 2 | quot(0, s(s(0)), s(s(0)), T60), SCOPE: 36, CLAUSE: 3 | ?_36\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
159 [label="159: quot(T53, s(s(0)), s(s(0)), T60), SCOPE: 36, CLAUSE: 2 | quot(T53, s(s(0)), s(s(0)), T60), SCOPE: 36, CLAUSE: 3 | ?_36\n\nT53 is ground\nX223 is free; \nX224 is free; \nX225 is free; \nquot(T53, s(s(0)), s(s(0)), T60) !=? quot(0, s(X223), s(X224), X225)", fontsize=16, style=filled, fillcolor=lightyellow];
160 [label="160: eq(T62, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
161 [label="161: eq(T62, 0), SCOPE: 37, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
162 [label="162: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
163 [label="163: \n\nX227 is free", fontsize=16, style=filled, fillcolor=lightyellow];
164 [label="164: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
165 [label="165: quot(T53, s(s(0)), s(s(0)), T60), SCOPE: 36, CLAUSE: 3\n\nT53 is ground\nX223 is free; \nX224 is free; \nX225 is free; \nquot(T53, s(s(0)), s(s(0)), T60) !=? quot(0, s(X223), s(X224), X225)", fontsize=16, style=filled, fillcolor=lightyellow];
166 [label="166: ','(p(s(s(0)), X239), quot(T64, X239, s(s(0)), T66))\n\nT64 is ground\nX223 is free; \nX224 is free; \nX225 is free; \nX239 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
167 [label="167: \n\nX223 is free\nX224 is free; \nX225 is free; \nX235 is free; \nX236 is free; \nX237 is free; \nX238 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
168 [label="168: ','(p(s(s(0)), X239), quot(T64, X239, s(s(0)), T66)), SCOPE: 38, CLAUSE: 4 | ','(p(s(s(0)), X239), quot(T64, X239, s(s(0)), T66)), SCOPE: 38, CLAUSE: 5\n\nT64 is ground\nX239 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
169 [label="169: ','(p(s(s(0)), X239), quot(T64, X239, s(s(0)), T66)), SCOPE: 38, CLAUSE: 5\n\nT64 is ground\nX239 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
170 [label="170: quot(T64, s(0), s(s(0)), T66)\n\nT64 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
171 [label="171: quot(T64, s(0), s(s(0)), T66), SCOPE: 39, CLAUSE: 1 | quot(T64, s(0), s(s(0)), T66), SCOPE: 39, CLAUSE: 2 | quot(T64, s(0), s(s(0)), T66), SCOPE: 39, CLAUSE: 3 | ?_39\n\nT64 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
172 [label="172: ','(!_39, eq(T68, 0)) | quot(0, s(0), s(s(0)), T66), SCOPE: 39, CLAUSE: 2 | quot(0, s(0), s(s(0)), T66), SCOPE: 39, CLAUSE: 3 | ?_39\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
173 [label="173: quot(T64, s(0), s(s(0)), T66), SCOPE: 39, CLAUSE: 2 | quot(T64, s(0), s(s(0)), T66), SCOPE: 39, CLAUSE: 3 | ?_39\n\nT64 is ground\nX245 is free; \nX246 is free; \nX247 is free; \nquot(T64, s(0), s(s(0)), T66) !=? quot(0, s(X245), s(X246), X247)", fontsize=16, style=filled, fillcolor=lightyellow];
174 [label="174: eq(T68, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
175 [label="175: eq(T68, 0), SCOPE: 40, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
176 [label="176: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
177 [label="177: \n\nX249 is free", fontsize=16, style=filled, fillcolor=lightyellow];
178 [label="178: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
179 [label="179: quot(T64, s(0), s(s(0)), T66), SCOPE: 39, CLAUSE: 3\n\nT64 is ground\nX245 is free; \nX246 is free; \nX247 is free; \nquot(T64, s(0), s(s(0)), T66) !=? quot(0, s(X245), s(X246), X247)", fontsize=16, style=filled, fillcolor=lightyellow];
180 [label="180: ','(p(s(0), X261), quot(T70, X261, s(s(0)), T72))\n\nT70 is ground\nX245 is free; \nX246 is free; \nX247 is free; \nX261 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
181 [label="181: \n\nX245 is free\nX246 is free; \nX247 is free; \nX257 is free; \nX258 is free; \nX259 is free; \nX260 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
182 [label="182: ','(p(s(0), X261), quot(T70, X261, s(s(0)), T72)), SCOPE: 41, CLAUSE: 4 | ','(p(s(0), X261), quot(T70, X261, s(s(0)), T72)), SCOPE: 41, CLAUSE: 5\n\nT70 is ground\nX261 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
183 [label="183: ','(p(s(0), X261), quot(T70, X261, s(s(0)), T72)), SCOPE: 41, CLAUSE: 5\n\nT70 is ground\nX261 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
184 [label="184: quot(T70, 0, s(s(0)), T72)\n\nT70 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
185 [label="185: quot(T70, 0, s(s(0)), T72), SCOPE: 42, CLAUSE: 1 | quot(T70, 0, s(s(0)), T72), SCOPE: 42, CLAUSE: 2 | quot(T70, 0, s(s(0)), T72), SCOPE: 42, CLAUSE: 3 | ?_42\n\nT70 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
186 [label="186: quot(T70, 0, s(s(0)), T72), SCOPE: 42, CLAUSE: 2 | quot(T70, 0, s(s(0)), T72), SCOPE: 42, CLAUSE: 3 | ?_42\n\nT70 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
187 [label="187: ','(!_42, ','(eq(s(s(0)), s(X273)), ','(p(T75, X274), quot(T73, s(s(0)), s(s(0)), X274)))) | quot(T73, 0, s(s(0)), T72), SCOPE: 42, CLAUSE: 3 | ?_42\n\nT73 is ground\nX273 is free; \nX274 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
188 [label="188: ','(eq(s(s(0)), s(X273)), ','(p(T75, X274), quot(T73, s(s(0)), s(s(0)), X274)))\n\nT73 is ground\nX273 is free; \nX274 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
189 [label="189: ','(eq(s(s(0)), s(X273)), ','(p(T75, X274), quot(T73, s(s(0)), s(s(0)), X274))), SCOPE: 43, CLAUSE: 6\n\nT73 is ground\nX273 is free; \nX274 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
190 [label="190: ','(p(T75, X274), quot(T73, s(s(0)), s(s(0)), X274))\n\nT73 is ground\nX274 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
191 [label="191: ','(p(T75, X274), quot(T73, s(s(0)), s(s(0)), X274)), SCOPE: 44, CLAUSE: 4 | ','(p(T75, X274), quot(T73, s(s(0)), s(s(0)), X274)), SCOPE: 44, CLAUSE: 5\n\nT73 is ground\nX274 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
192 [label="192: quot(T73, s(s(0)), s(s(0)), 0) | ','(p(T75, X274), quot(T73, s(s(0)), s(s(0)), X274)), SCOPE: 44, CLAUSE: 5\n\nT73 is ground\nX274 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
193 [label="193: ','(p(T75, X274), quot(T73, s(s(0)), s(s(0)), X274)), SCOPE: 44, CLAUSE: 5\n\nT73 is ground\nX274 is free; \np(T75, X274) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
194 [label="194: quot(T73, s(s(0)), s(s(0)), T77)\n\nT73 is ground\nX274 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
195 [label="195: \n\nX274 is free\nX278 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
196 [label="196: quot(T53, s(s(0)), s(s(0)), T79)\n\nT53 is ground\nX157 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
197 [label="197: \n\nX157 is free\nX280 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
198 [label="198: ','(p(T81, X289), quot(T80, X289, s(s(T81)), T83))\n\nT80 is ground\nT81 is ground\nX145 is free; \nX146 is free; \nX147 is free; \nX153 is free; \nX154 is free; \nX155 is free; \nX289 is free; \nquot(s(T80), T81, s(s(T81)), T47) !=? quot(X153, 0, X154, X155)", fontsize=16, style=filled, fillcolor=lightyellow];
199 [label="199: \n\nX145 is free\nX146 is free; \nX147 is free; \nX153 is free; \nX154 is free; \nX155 is free; \nX285 is free; \nX286 is free; \nX287 is free; \nX288 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
200 [label="200: ','(p(T81, X289), quot(T80, X289, s(s(T81)), T83)), SCOPE: 45, CLAUSE: 4 | ','(p(T81, X289), quot(T80, X289, s(s(T81)), T83)), SCOPE: 45, CLAUSE: 5\n\nT80 is ground\nT81 is ground\nX153 is free; \nX154 is free; \nX155 is free; \nX289 is free; \nquot(s(T80), T81, s(s(T81)), T47) !=? quot(X153, 0, X154, X155)", fontsize=16, style=filled, fillcolor=lightyellow];
201 [label="201: ','(p(T81, X289), quot(T80, X289, s(s(T81)), T83)), SCOPE: 45, CLAUSE: 5\n\nT80 is ground\nT81 is ground\nX153 is free; \nX154 is free; \nX155 is free; \nX289 is free; \nquot(s(T80), T81, s(s(T81)), T47) !=? quot(X153, 0, X154, X155)\np(T81, X289) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
202 [label="202: quot(T80, T84, s(s(s(T84))), T83)\n\nT80 is ground\nT84 is ground\nX153 is free; \nX154 is free; \nX155 is free; \nX289 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
203 [label="203: \n\nX153 is free\nX154 is free; \nX155 is free; \nX289 is free; \nX291 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
204 [label="204: quot(T80, T84, s(s(s(T84))), T83), SCOPE: 46, CLAUSE: 1 | quot(T80, T84, s(s(s(T84))), T83), SCOPE: 46, CLAUSE: 2 | quot(T80, T84, s(s(s(T84))), T83), SCOPE: 46, CLAUSE: 3 | ?_46\n\nT80 is ground\nT84 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
205 [label="205: ','(!_46, eq(T87, 0)) | quot(0, s(T85), s(s(s(s(T85)))), T83), SCOPE: 46, CLAUSE: 2 | quot(0, s(T85), s(s(s(s(T85)))), T83), SCOPE: 46, CLAUSE: 3 | ?_46\n\nT85 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
206 [label="206: quot(T80, T84, s(s(s(T84))), T83), SCOPE: 46, CLAUSE: 2 | quot(T80, T84, s(s(s(T84))), T83), SCOPE: 46, CLAUSE: 3 | ?_46\n\nT80 is ground\nT84 is ground\nX295 is free; \nX296 is free; \nX297 is free; \nquot(T80, T84, s(s(s(T84))), T83) !=? quot(0, s(X295), s(X296), X297)", fontsize=16, style=filled, fillcolor=lightyellow];
207 [label="207: eq(T87, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
208 [label="208: eq(T87, 0), SCOPE: 47, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
209 [label="209: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
210 [label="210: \n\nX299 is free", fontsize=16, style=filled, fillcolor=lightyellow];
211 [label="211: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
212 [label="212: ','(!_46, ','(eq(s(s(s(0))), s(X306)), ','(p(T91, X307), quot(T89, s(s(s(0))), s(s(s(0))), X307)))) | quot(T89, 0, s(s(s(0))), T83), SCOPE: 46, CLAUSE: 3 | ?_46\n\nT89 is ground\nX295 is free; \nX296 is free; \nX297 is free; \nX306 is free; \nX307 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
213 [label="213: quot(T80, T84, s(s(s(T84))), T83), SCOPE: 46, CLAUSE: 3\n\nT80 is ground\nT84 is ground\nX295 is free; \nX296 is free; \nX297 is free; \nX303 is free; \nX304 is free; \nX305 is free; \nquot(T80, T84, s(s(s(T84))), T83) !=? quot(0, s(X295), s(X296), X297)\nquot(T80, T84, s(s(s(T84))), T83) !=? quot(X303, 0, X304, X305)", fontsize=16, style=filled, fillcolor=lightyellow];
214 [label="214: ','(eq(s(s(s(0))), s(X306)), ','(p(T91, X307), quot(T89, s(s(s(0))), s(s(s(0))), X307)))\n\nT89 is ground\nX306 is free; \nX307 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
215 [label="215: ','(eq(s(s(s(0))), s(X306)), ','(p(T91, X307), quot(T89, s(s(s(0))), s(s(s(0))), X307))), SCOPE: 48, CLAUSE: 6\n\nT89 is ground\nX306 is free; \nX307 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
216 [label="216: ','(p(T91, X307), quot(T89, s(s(s(0))), s(s(s(0))), X307))\n\nT89 is ground\nX307 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
217 [label="217: ','(p(T91, X307), quot(T89, s(s(s(0))), s(s(s(0))), X307)), SCOPE: 49, CLAUSE: 4 | ','(p(T91, X307), quot(T89, s(s(s(0))), s(s(s(0))), X307)), SCOPE: 49, CLAUSE: 5\n\nT89 is ground\nX307 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
218 [label="218: quot(T89, s(s(s(0))), s(s(s(0))), 0) | ','(p(T91, X307), quot(T89, s(s(s(0))), s(s(s(0))), X307)), SCOPE: 49, CLAUSE: 5\n\nT89 is ground\nX307 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
219 [label="219: ','(p(T91, X307), quot(T89, s(s(s(0))), s(s(s(0))), X307)), SCOPE: 49, CLAUSE: 5\n\nT89 is ground\nX307 is free; \np(T91, X307) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
220 [label="220: quot(T89, s(s(s(0))), s(s(s(0))), 0)\n\nT89 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
221 [label="221: ','(p(T91, X307), quot(T89, s(s(s(0))), s(s(s(0))), X307)), SCOPE: 49, CLAUSE: 5\n\nT89 is ground\nX307 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
222 [label="222: quot(T89, s(s(s(0))), s(s(s(0))), 0), SCOPE: 50, CLAUSE: 1 | quot(T89, s(s(s(0))), s(s(s(0))), 0), SCOPE: 50, CLAUSE: 2 | quot(T89, s(s(s(0))), s(s(s(0))), 0), SCOPE: 50, CLAUSE: 3 | ?_50\n\nT89 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
223 [label="223: ','(!_50, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(0))), 0), SCOPE: 50, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(0))), 0), SCOPE: 50, CLAUSE: 3 | ?_50\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
224 [label="224: quot(T89, s(s(s(0))), s(s(s(0))), 0), SCOPE: 50, CLAUSE: 2 | quot(T89, s(s(s(0))), s(s(s(0))), 0), SCOPE: 50, CLAUSE: 3 | ?_50\n\nT89 is ground\nX313 is free; \nX314 is free; \nX315 is free; \nquot(T89, s(s(s(0))), s(s(s(0))), 0) !=? quot(0, s(X313), s(X314), X315)", fontsize=16, style=filled, fillcolor=lightyellow];
225 [label="225: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
226 [label="226: eq(0, 0), SCOPE: 51, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
227 [label="227: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
228 [label="228: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
229 [label="229: quot(T89, s(s(s(0))), s(s(s(0))), 0), SCOPE: 50, CLAUSE: 3\n\nT89 is ground\nX313 is free; \nX314 is free; \nX315 is free; \nquot(T89, s(s(s(0))), s(s(s(0))), 0) !=? quot(0, s(X313), s(X314), X315)", fontsize=16, style=filled, fillcolor=lightyellow];
230 [label="230: ','(p(s(s(s(0))), X329), quot(T92, X329, s(s(s(0))), 0))\n\nT92 is ground\nX313 is free; \nX314 is free; \nX315 is free; \nX329 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
231 [label="231: \n\nX313 is free\nX314 is free; \nX315 is free; \nX325 is free; \nX326 is free; \nX327 is free; \nX328 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
232 [label="232: ','(p(s(s(s(0))), X329), quot(T92, X329, s(s(s(0))), 0)), SCOPE: 52, CLAUSE: 4 | ','(p(s(s(s(0))), X329), quot(T92, X329, s(s(s(0))), 0)), SCOPE: 52, CLAUSE: 5\n\nT92 is ground\nX329 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
233 [label="233: ','(p(s(s(s(0))), X329), quot(T92, X329, s(s(s(0))), 0)), SCOPE: 52, CLAUSE: 5\n\nT92 is ground\nX329 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
234 [label="234: quot(T92, s(s(0)), s(s(s(0))), 0)\n\nT92 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
235 [label="235: quot(T92, s(s(0)), s(s(s(0))), 0), SCOPE: 53, CLAUSE: 1 | quot(T92, s(s(0)), s(s(s(0))), 0), SCOPE: 53, CLAUSE: 2 | quot(T92, s(s(0)), s(s(s(0))), 0), SCOPE: 53, CLAUSE: 3 | ?_53\n\nT92 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
236 [label="236: ','(!_53, eq(0, 0)) | quot(0, s(s(0)), s(s(s(0))), 0), SCOPE: 53, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(0))), 0), SCOPE: 53, CLAUSE: 3 | ?_53\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
237 [label="237: quot(T92, s(s(0)), s(s(s(0))), 0), SCOPE: 53, CLAUSE: 2 | quot(T92, s(s(0)), s(s(s(0))), 0), SCOPE: 53, CLAUSE: 3 | ?_53\n\nT92 is ground\nX335 is free; \nX336 is free; \nX337 is free; \nquot(T92, s(s(0)), s(s(s(0))), 0) !=? quot(0, s(X335), s(X336), X337)", fontsize=16, style=filled, fillcolor=lightyellow];
238 [label="238: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
239 [label="239: eq(0, 0), SCOPE: 54, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
240 [label="240: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
241 [label="241: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
242 [label="242: quot(T92, s(s(0)), s(s(s(0))), 0), SCOPE: 53, CLAUSE: 3\n\nT92 is ground\nX335 is free; \nX336 is free; \nX337 is free; \nquot(T92, s(s(0)), s(s(s(0))), 0) !=? quot(0, s(X335), s(X336), X337)", fontsize=16, style=filled, fillcolor=lightyellow];
243 [label="243: ','(p(s(s(0)), X351), quot(T93, X351, s(s(s(0))), 0))\n\nT93 is ground\nX335 is free; \nX336 is free; \nX337 is free; \nX351 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
244 [label="244: \n\nX335 is free\nX336 is free; \nX337 is free; \nX347 is free; \nX348 is free; \nX349 is free; \nX350 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
245 [label="245: ','(p(s(s(0)), X351), quot(T93, X351, s(s(s(0))), 0)), SCOPE: 55, CLAUSE: 4 | ','(p(s(s(0)), X351), quot(T93, X351, s(s(s(0))), 0)), SCOPE: 55, CLAUSE: 5\n\nT93 is ground\nX351 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
246 [label="246: ','(p(s(s(0)), X351), quot(T93, X351, s(s(s(0))), 0)), SCOPE: 55, CLAUSE: 5\n\nT93 is ground\nX351 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
247 [label="247: quot(T93, s(0), s(s(s(0))), 0)\n\nT93 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
248 [label="248: quot(T93, s(0), s(s(s(0))), 0), SCOPE: 56, CLAUSE: 1 | quot(T93, s(0), s(s(s(0))), 0), SCOPE: 56, CLAUSE: 2 | quot(T93, s(0), s(s(s(0))), 0), SCOPE: 56, CLAUSE: 3 | ?_56\n\nT93 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
249 [label="249: ','(!_56, eq(0, 0)) | quot(0, s(0), s(s(s(0))), 0), SCOPE: 56, CLAUSE: 2 | quot(0, s(0), s(s(s(0))), 0), SCOPE: 56, CLAUSE: 3 | ?_56\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
250 [label="250: quot(T93, s(0), s(s(s(0))), 0), SCOPE: 56, CLAUSE: 2 | quot(T93, s(0), s(s(s(0))), 0), SCOPE: 56, CLAUSE: 3 | ?_56\n\nT93 is ground\nX357 is free; \nX358 is free; \nX359 is free; \nquot(T93, s(0), s(s(s(0))), 0) !=? quot(0, s(X357), s(X358), X359)", fontsize=16, style=filled, fillcolor=lightyellow];
251 [label="251: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
252 [label="252: eq(0, 0), SCOPE: 57, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
253 [label="253: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
254 [label="254: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
255 [label="255: quot(T93, s(0), s(s(s(0))), 0), SCOPE: 56, CLAUSE: 3\n\nT93 is ground\nX357 is free; \nX358 is free; \nX359 is free; \nquot(T93, s(0), s(s(s(0))), 0) !=? quot(0, s(X357), s(X358), X359)", fontsize=16, style=filled, fillcolor=lightyellow];
256 [label="256: ','(p(s(0), X373), quot(T94, X373, s(s(s(0))), 0))\n\nT94 is ground\nX357 is free; \nX358 is free; \nX359 is free; \nX373 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
257 [label="257: \n\nX357 is free\nX358 is free; \nX359 is free; \nX369 is free; \nX370 is free; \nX371 is free; \nX372 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
258 [label="258: ','(p(s(0), X373), quot(T94, X373, s(s(s(0))), 0)), SCOPE: 58, CLAUSE: 4 | ','(p(s(0), X373), quot(T94, X373, s(s(s(0))), 0)), SCOPE: 58, CLAUSE: 5\n\nT94 is ground\nX373 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
259 [label="259: ','(p(s(0), X373), quot(T94, X373, s(s(s(0))), 0)), SCOPE: 58, CLAUSE: 5\n\nT94 is ground\nX373 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
260 [label="260: quot(T94, 0, s(s(s(0))), 0)\n\nT94 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
261 [label="261: quot(T94, 0, s(s(s(0))), 0), SCOPE: 59, CLAUSE: 1 | quot(T94, 0, s(s(s(0))), 0), SCOPE: 59, CLAUSE: 2 | quot(T94, 0, s(s(s(0))), 0), SCOPE: 59, CLAUSE: 3 | ?_59\n\nT94 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
262 [label="262: quot(T94, 0, s(s(s(0))), 0), SCOPE: 59, CLAUSE: 2 | quot(T94, 0, s(s(s(0))), 0), SCOPE: 59, CLAUSE: 3 | ?_59\n\nT94 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
263 [label="263: ','(!_59, ','(eq(s(s(s(0))), s(X385)), ','(p(0, X386), quot(T95, s(s(s(0))), s(s(s(0))), X386)))) | quot(T95, 0, s(s(s(0))), 0), SCOPE: 59, CLAUSE: 3 | ?_59\n\nT95 is ground\nX385 is free; \nX386 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
264 [label="264: ','(eq(s(s(s(0))), s(X385)), ','(p(0, X386), quot(T95, s(s(s(0))), s(s(s(0))), X386)))\n\nT95 is ground\nX385 is free; \nX386 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
265 [label="265: ','(eq(s(s(s(0))), s(X385)), ','(p(0, X386), quot(T95, s(s(s(0))), s(s(s(0))), X386))), SCOPE: 60, CLAUSE: 6\n\nT95 is ground\nX385 is free; \nX386 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
266 [label="266: ','(p(0, X386), quot(T95, s(s(s(0))), s(s(s(0))), X386))\n\nT95 is ground\nX386 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
267 [label="267: ','(p(0, X386), quot(T95, s(s(s(0))), s(s(s(0))), X386)), SCOPE: 61, CLAUSE: 4 | ','(p(0, X386), quot(T95, s(s(s(0))), s(s(s(0))), X386)), SCOPE: 61, CLAUSE: 5\n\nT95 is ground\nX386 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
268 [label="268: quot(T95, s(s(s(0))), s(s(s(0))), 0) | ','(p(0, X386), quot(T95, s(s(s(0))), s(s(s(0))), X386)), SCOPE: 61, CLAUSE: 5\n\nT95 is ground\nX386 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
269 [label="269: quot(T95, s(s(s(0))), s(s(s(0))), 0)\n\nT95 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
270 [label="270: ','(p(0, X386), quot(T95, s(s(s(0))), s(s(s(0))), X386)), SCOPE: 61, CLAUSE: 5\n\nT95 is ground\nX386 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
271 [label="271: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
272 [label="272: quot(T89, s(s(s(0))), s(s(s(0))), T97)\n\nT89 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
273 [label="273: \n\nX307 is free\nX391 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
274 [label="274: quot(T89, s(s(s(0))), s(s(s(0))), T97), SCOPE: 62, CLAUSE: 1 | quot(T89, s(s(s(0))), s(s(s(0))), T97), SCOPE: 62, CLAUSE: 2 | quot(T89, s(s(s(0))), s(s(s(0))), T97), SCOPE: 62, CLAUSE: 3 | ?_62\n\nT89 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
275 [label="275: ','(!_62, eq(T99, 0)) | quot(0, s(s(s(0))), s(s(s(0))), T97), SCOPE: 62, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(0))), T97), SCOPE: 62, CLAUSE: 3 | ?_62\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
276 [label="276: quot(T89, s(s(s(0))), s(s(s(0))), T97), SCOPE: 62, CLAUSE: 2 | quot(T89, s(s(s(0))), s(s(s(0))), T97), SCOPE: 62, CLAUSE: 3 | ?_62\n\nT89 is ground\nX395 is free; \nX396 is free; \nX397 is free; \nquot(T89, s(s(s(0))), s(s(s(0))), T97) !=? quot(0, s(X395), s(X396), X397)", fontsize=16, style=filled, fillcolor=lightyellow];
277 [label="277: eq(T99, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
278 [label="278: eq(T99, 0), SCOPE: 63, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
279 [label="279: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
280 [label="280: \n\nX399 is free", fontsize=16, style=filled, fillcolor=lightyellow];
281 [label="281: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
282 [label="282: quot(T89, s(s(s(0))), s(s(s(0))), T97), SCOPE: 62, CLAUSE: 3\n\nT89 is ground\nX395 is free; \nX396 is free; \nX397 is free; \nquot(T89, s(s(s(0))), s(s(s(0))), T97) !=? quot(0, s(X395), s(X396), X397)", fontsize=16, style=filled, fillcolor=lightyellow];
283 [label="283: ','(p(s(s(s(0))), X411), quot(T101, X411, s(s(s(0))), T103))\n\nT101 is ground\nX395 is free; \nX396 is free; \nX397 is free; \nX411 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
284 [label="284: \n\nX395 is free\nX396 is free; \nX397 is free; \nX407 is free; \nX408 is free; \nX409 is free; \nX410 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
285 [label="285: ','(p(s(s(s(0))), X411), quot(T101, X411, s(s(s(0))), T103)), SCOPE: 64, CLAUSE: 4 | ','(p(s(s(s(0))), X411), quot(T101, X411, s(s(s(0))), T103)), SCOPE: 64, CLAUSE: 5\n\nT101 is ground\nX411 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
286 [label="286: ','(p(s(s(s(0))), X411), quot(T101, X411, s(s(s(0))), T103)), SCOPE: 64, CLAUSE: 5\n\nT101 is ground\nX411 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
287 [label="287: quot(T101, s(s(0)), s(s(s(0))), T103)\n\nT101 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
288 [label="288: quot(T101, s(s(0)), s(s(s(0))), T103), SCOPE: 65, CLAUSE: 1 | quot(T101, s(s(0)), s(s(s(0))), T103), SCOPE: 65, CLAUSE: 2 | quot(T101, s(s(0)), s(s(s(0))), T103), SCOPE: 65, CLAUSE: 3 | ?_65\n\nT101 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
289 [label="289: ','(!_65, eq(T105, 0)) | quot(0, s(s(0)), s(s(s(0))), T103), SCOPE: 65, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(0))), T103), SCOPE: 65, CLAUSE: 3 | ?_65\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
290 [label="290: quot(T101, s(s(0)), s(s(s(0))), T103), SCOPE: 65, CLAUSE: 2 | quot(T101, s(s(0)), s(s(s(0))), T103), SCOPE: 65, CLAUSE: 3 | ?_65\n\nT101 is ground\nX417 is free; \nX418 is free; \nX419 is free; \nquot(T101, s(s(0)), s(s(s(0))), T103) !=? quot(0, s(X417), s(X418), X419)", fontsize=16, style=filled, fillcolor=lightyellow];
291 [label="291: eq(T105, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
292 [label="292: eq(T105, 0), SCOPE: 66, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
293 [label="293: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
294 [label="294: \n\nX421 is free", fontsize=16, style=filled, fillcolor=lightyellow];
295 [label="295: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
296 [label="296: quot(T101, s(s(0)), s(s(s(0))), T103), SCOPE: 65, CLAUSE: 3\n\nT101 is ground\nX417 is free; \nX418 is free; \nX419 is free; \nquot(T101, s(s(0)), s(s(s(0))), T103) !=? quot(0, s(X417), s(X418), X419)", fontsize=16, style=filled, fillcolor=lightyellow];
297 [label="297: ','(p(s(s(0)), X433), quot(T107, X433, s(s(s(0))), T109))\n\nT107 is ground\nX417 is free; \nX418 is free; \nX419 is free; \nX433 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
298 [label="298: \n\nX417 is free\nX418 is free; \nX419 is free; \nX429 is free; \nX430 is free; \nX431 is free; \nX432 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
299 [label="299: ','(p(s(s(0)), X433), quot(T107, X433, s(s(s(0))), T109)), SCOPE: 67, CLAUSE: 4 | ','(p(s(s(0)), X433), quot(T107, X433, s(s(s(0))), T109)), SCOPE: 67, CLAUSE: 5\n\nT107 is ground\nX433 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
300 [label="300: ','(p(s(s(0)), X433), quot(T107, X433, s(s(s(0))), T109)), SCOPE: 67, CLAUSE: 5\n\nT107 is ground\nX433 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
301 [label="301: quot(T107, s(0), s(s(s(0))), T109)\n\nT107 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
302 [label="302: quot(T107, s(0), s(s(s(0))), T109), SCOPE: 68, CLAUSE: 1 | quot(T107, s(0), s(s(s(0))), T109), SCOPE: 68, CLAUSE: 2 | quot(T107, s(0), s(s(s(0))), T109), SCOPE: 68, CLAUSE: 3 | ?_68\n\nT107 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
303 [label="303: ','(!_68, eq(T111, 0)) | quot(0, s(0), s(s(s(0))), T109), SCOPE: 68, CLAUSE: 2 | quot(0, s(0), s(s(s(0))), T109), SCOPE: 68, CLAUSE: 3 | ?_68\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
304 [label="304: quot(T107, s(0), s(s(s(0))), T109), SCOPE: 68, CLAUSE: 2 | quot(T107, s(0), s(s(s(0))), T109), SCOPE: 68, CLAUSE: 3 | ?_68\n\nT107 is ground\nX439 is free; \nX440 is free; \nX441 is free; \nquot(T107, s(0), s(s(s(0))), T109) !=? quot(0, s(X439), s(X440), X441)", fontsize=16, style=filled, fillcolor=lightyellow];
305 [label="305: eq(T111, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
306 [label="306: eq(T111, 0), SCOPE: 69, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
307 [label="307: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
308 [label="308: \n\nX443 is free", fontsize=16, style=filled, fillcolor=lightyellow];
309 [label="309: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
310 [label="310: quot(T107, s(0), s(s(s(0))), T109), SCOPE: 68, CLAUSE: 3\n\nT107 is ground\nX439 is free; \nX440 is free; \nX441 is free; \nquot(T107, s(0), s(s(s(0))), T109) !=? quot(0, s(X439), s(X440), X441)", fontsize=16, style=filled, fillcolor=lightyellow];
311 [label="311: ','(p(s(0), X455), quot(T113, X455, s(s(s(0))), T115))\n\nT113 is ground\nX439 is free; \nX440 is free; \nX441 is free; \nX455 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
312 [label="312: \n\nX439 is free\nX440 is free; \nX441 is free; \nX451 is free; \nX452 is free; \nX453 is free; \nX454 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
313 [label="313: ','(p(s(0), X455), quot(T113, X455, s(s(s(0))), T115)), SCOPE: 70, CLAUSE: 4 | ','(p(s(0), X455), quot(T113, X455, s(s(s(0))), T115)), SCOPE: 70, CLAUSE: 5\n\nT113 is ground\nX455 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
314 [label="314: ','(p(s(0), X455), quot(T113, X455, s(s(s(0))), T115)), SCOPE: 70, CLAUSE: 5\n\nT113 is ground\nX455 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
315 [label="315: quot(T113, 0, s(s(s(0))), T115)\n\nT113 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
316 [label="316: quot(T113, 0, s(s(s(0))), T115), SCOPE: 71, CLAUSE: 1 | quot(T113, 0, s(s(s(0))), T115), SCOPE: 71, CLAUSE: 2 | quot(T113, 0, s(s(s(0))), T115), SCOPE: 71, CLAUSE: 3 | ?_71\n\nT113 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
317 [label="317: quot(T113, 0, s(s(s(0))), T115), SCOPE: 71, CLAUSE: 2 | quot(T113, 0, s(s(s(0))), T115), SCOPE: 71, CLAUSE: 3 | ?_71\n\nT113 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
318 [label="318: ','(!_71, ','(eq(s(s(s(0))), s(X467)), ','(p(T118, X468), quot(T116, s(s(s(0))), s(s(s(0))), X468)))) | quot(T116, 0, s(s(s(0))), T115), SCOPE: 71, CLAUSE: 3 | ?_71\n\nT116 is ground\nX467 is free; \nX468 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
319 [label="319: ','(eq(s(s(s(0))), s(X467)), ','(p(T118, X468), quot(T116, s(s(s(0))), s(s(s(0))), X468)))\n\nT116 is ground\nX467 is free; \nX468 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
320 [label="320: ','(eq(s(s(s(0))), s(X467)), ','(p(T118, X468), quot(T116, s(s(s(0))), s(s(s(0))), X468))), SCOPE: 72, CLAUSE: 6\n\nT116 is ground\nX467 is free; \nX468 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
321 [label="321: ','(p(T118, X468), quot(T116, s(s(s(0))), s(s(s(0))), X468))\n\nT116 is ground\nX468 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
322 [label="322: ','(p(T118, X468), quot(T116, s(s(s(0))), s(s(s(0))), X468)), SCOPE: 73, CLAUSE: 4 | ','(p(T118, X468), quot(T116, s(s(s(0))), s(s(s(0))), X468)), SCOPE: 73, CLAUSE: 5\n\nT116 is ground\nX468 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
323 [label="323: quot(T116, s(s(s(0))), s(s(s(0))), 0) | ','(p(T118, X468), quot(T116, s(s(s(0))), s(s(s(0))), X468)), SCOPE: 73, CLAUSE: 5\n\nT116 is ground\nX468 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
324 [label="324: ','(p(T118, X468), quot(T116, s(s(s(0))), s(s(s(0))), X468)), SCOPE: 73, CLAUSE: 5\n\nT116 is ground\nX468 is free; \np(T118, X468) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
325 [label="325: quot(T116, s(s(s(0))), s(s(s(0))), T120)\n\nT116 is ground\nX468 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
326 [label="326: \n\nX468 is free\nX472 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
327 [label="327: quot(T89, s(s(s(0))), s(s(s(0))), T122)\n\nT89 is ground\nX307 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
328 [label="328: \n\nX307 is free\nX474 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
329 [label="329: ','(p(T124, X483), quot(T123, X483, s(s(s(T124))), T126))\n\nT123 is ground\nT124 is ground\nX295 is free; \nX296 is free; \nX297 is free; \nX303 is free; \nX304 is free; \nX305 is free; \nX483 is free; \nquot(s(T123), T124, s(s(s(T124))), T83) !=? quot(X303, 0, X304, X305)", fontsize=16, style=filled, fillcolor=lightyellow];
330 [label="330: \n\nX295 is free\nX296 is free; \nX297 is free; \nX303 is free; \nX304 is free; \nX305 is free; \nX479 is free; \nX480 is free; \nX481 is free; \nX482 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
331 [label="331: ','(p(T124, X483), quot(T123, X483, s(s(s(T124))), T126)), SCOPE: 74, CLAUSE: 4 | ','(p(T124, X483), quot(T123, X483, s(s(s(T124))), T126)), SCOPE: 74, CLAUSE: 5\n\nT123 is ground\nT124 is ground\nX303 is free; \nX304 is free; \nX305 is free; \nX483 is free; \nquot(s(T123), T124, s(s(s(T124))), T83) !=? quot(X303, 0, X304, X305)", fontsize=16, style=filled, fillcolor=lightyellow];
332 [label="332: ','(p(T124, X483), quot(T123, X483, s(s(s(T124))), T126)), SCOPE: 74, CLAUSE: 5\n\nT123 is ground\nT124 is ground\nX303 is free; \nX304 is free; \nX305 is free; \nX483 is free; \nquot(s(T123), T124, s(s(s(T124))), T83) !=? quot(X303, 0, X304, X305)\np(T124, X483) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
333 [label="333: quot(T123, T127, s(s(s(s(T127)))), T126)\n\nT123 is ground\nT127 is ground\nX303 is free; \nX304 is free; \nX305 is free; \nX483 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
334 [label="334: \n\nX303 is free\nX304 is free; \nX305 is free; \nX483 is free; \nX485 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
335 [label="335: quot(T123, T127, s(s(s(s(T127)))), T126), SCOPE: 75, CLAUSE: 1 | quot(T123, T127, s(s(s(s(T127)))), T126), SCOPE: 75, CLAUSE: 2 | quot(T123, T127, s(s(s(s(T127)))), T126), SCOPE: 75, CLAUSE: 3 | ?_75\n\nT123 is ground\nT127 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
336 [label="336: ','(!_75, eq(T130, 0)) | quot(0, s(T128), s(s(s(s(s(T128))))), T126), SCOPE: 75, CLAUSE: 2 | quot(0, s(T128), s(s(s(s(s(T128))))), T126), SCOPE: 75, CLAUSE: 3 | ?_75\n\nT128 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
337 [label="337: quot(T123, T127, s(s(s(s(T127)))), T126), SCOPE: 75, CLAUSE: 2 | quot(T123, T127, s(s(s(s(T127)))), T126), SCOPE: 75, CLAUSE: 3 | ?_75\n\nT123 is ground\nT127 is ground\nX489 is free; \nX490 is free; \nX491 is free; \nquot(T123, T127, s(s(s(s(T127)))), T126) !=? quot(0, s(X489), s(X490), X491)", fontsize=16, style=filled, fillcolor=lightyellow];
338 [label="338: eq(T130, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
339 [label="339: eq(T130, 0), SCOPE: 76, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
340 [label="340: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
341 [label="341: \n\nX493 is free", fontsize=16, style=filled, fillcolor=lightyellow];
342 [label="342: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
343 [label="343: ','(!_75, ','(eq(s(s(s(s(0)))), s(X500)), ','(p(T134, X501), quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), X501)))) | quot(T132, 0, s(s(s(s(0)))), T126), SCOPE: 75, CLAUSE: 3 | ?_75\n\nT132 is ground\nX489 is free; \nX490 is free; \nX491 is free; \nX500 is free; \nX501 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
344 [label="344: quot(T123, T127, s(s(s(s(T127)))), T126), SCOPE: 75, CLAUSE: 3\n\nT123 is ground\nT127 is ground\nX489 is free; \nX490 is free; \nX491 is free; \nX497 is free; \nX498 is free; \nX499 is free; \nquot(T123, T127, s(s(s(s(T127)))), T126) !=? quot(0, s(X489), s(X490), X491)\nquot(T123, T127, s(s(s(s(T127)))), T126) !=? quot(X497, 0, X498, X499)", fontsize=16, style=filled, fillcolor=lightyellow];
345 [label="345: ','(eq(s(s(s(s(0)))), s(X500)), ','(p(T134, X501), quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), X501)))\n\nT132 is ground\nX500 is free; \nX501 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
346 [label="346: ','(eq(s(s(s(s(0)))), s(X500)), ','(p(T134, X501), quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), X501))), SCOPE: 77, CLAUSE: 6\n\nT132 is ground\nX500 is free; \nX501 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
347 [label="347: ','(p(T134, X501), quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), X501))\n\nT132 is ground\nX501 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
348 [label="348: ','(p(T134, X501), quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), X501)), SCOPE: 78, CLAUSE: 4 | ','(p(T134, X501), quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), X501)), SCOPE: 78, CLAUSE: 5\n\nT132 is ground\nX501 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
349 [label="349: quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), 0) | ','(p(T134, X501), quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), X501)), SCOPE: 78, CLAUSE: 5\n\nT132 is ground\nX501 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
350 [label="350: ','(p(T134, X501), quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), X501)), SCOPE: 78, CLAUSE: 5\n\nT132 is ground\nX501 is free; \np(T134, X501) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
351 [label="351: quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), 0)\n\nT132 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
352 [label="352: ','(p(T134, X501), quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), X501)), SCOPE: 78, CLAUSE: 5\n\nT132 is ground\nX501 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
353 [label="353: quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 79, CLAUSE: 1 | quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 79, CLAUSE: 2 | quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 79, CLAUSE: 3 | ?_79\n\nT132 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
354 [label="354: ','(!_79, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 79, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 79, CLAUSE: 3 | ?_79\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
355 [label="355: quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 79, CLAUSE: 2 | quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 79, CLAUSE: 3 | ?_79\n\nT132 is ground\nX507 is free; \nX508 is free; \nX509 is free; \nquot(T132, s(s(s(s(0)))), s(s(s(s(0)))), 0) !=? quot(0, s(X507), s(X508), X509)", fontsize=16, style=filled, fillcolor=lightyellow];
356 [label="356: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
357 [label="357: eq(0, 0), SCOPE: 80, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
358 [label="358: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
359 [label="359: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
360 [label="360: quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 79, CLAUSE: 3\n\nT132 is ground\nX507 is free; \nX508 is free; \nX509 is free; \nquot(T132, s(s(s(s(0)))), s(s(s(s(0)))), 0) !=? quot(0, s(X507), s(X508), X509)", fontsize=16, style=filled, fillcolor=lightyellow];
361 [label="361: ','(p(s(s(s(s(0)))), X523), quot(T135, X523, s(s(s(s(0)))), 0))\n\nT135 is ground\nX507 is free; \nX508 is free; \nX509 is free; \nX523 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
362 [label="362: \n\nX507 is free\nX508 is free; \nX509 is free; \nX519 is free; \nX520 is free; \nX521 is free; \nX522 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
363 [label="363: ','(p(s(s(s(s(0)))), X523), quot(T135, X523, s(s(s(s(0)))), 0)), SCOPE: 81, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X523), quot(T135, X523, s(s(s(s(0)))), 0)), SCOPE: 81, CLAUSE: 5\n\nT135 is ground\nX523 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
364 [label="364: ','(p(s(s(s(s(0)))), X523), quot(T135, X523, s(s(s(s(0)))), 0)), SCOPE: 81, CLAUSE: 5\n\nT135 is ground\nX523 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
365 [label="365: quot(T135, s(s(s(0))), s(s(s(s(0)))), 0)\n\nT135 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
366 [label="366: quot(T135, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 82, CLAUSE: 1 | quot(T135, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 82, CLAUSE: 2 | quot(T135, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 82, CLAUSE: 3 | ?_82\n\nT135 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
367 [label="367: ','(!_82, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 82, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 82, CLAUSE: 3 | ?_82\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
368 [label="368: quot(T135, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 82, CLAUSE: 2 | quot(T135, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 82, CLAUSE: 3 | ?_82\n\nT135 is ground\nX529 is free; \nX530 is free; \nX531 is free; \nquot(T135, s(s(s(0))), s(s(s(s(0)))), 0) !=? quot(0, s(X529), s(X530), X531)", fontsize=16, style=filled, fillcolor=lightyellow];
369 [label="369: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
370 [label="370: eq(0, 0), SCOPE: 83, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
371 [label="371: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
372 [label="372: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
373 [label="373: quot(T135, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 82, CLAUSE: 3\n\nT135 is ground\nX529 is free; \nX530 is free; \nX531 is free; \nquot(T135, s(s(s(0))), s(s(s(s(0)))), 0) !=? quot(0, s(X529), s(X530), X531)", fontsize=16, style=filled, fillcolor=lightyellow];
374 [label="374: ','(p(s(s(s(0))), X545), quot(T136, X545, s(s(s(s(0)))), 0))\n\nT136 is ground\nX529 is free; \nX530 is free; \nX531 is free; \nX545 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
375 [label="375: \n\nX529 is free\nX530 is free; \nX531 is free; \nX541 is free; \nX542 is free; \nX543 is free; \nX544 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
376 [label="376: ','(p(s(s(s(0))), X545), quot(T136, X545, s(s(s(s(0)))), 0)), SCOPE: 84, CLAUSE: 4 | ','(p(s(s(s(0))), X545), quot(T136, X545, s(s(s(s(0)))), 0)), SCOPE: 84, CLAUSE: 5\n\nT136 is ground\nX545 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
377 [label="377: ','(p(s(s(s(0))), X545), quot(T136, X545, s(s(s(s(0)))), 0)), SCOPE: 84, CLAUSE: 5\n\nT136 is ground\nX545 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
378 [label="378: quot(T136, s(s(0)), s(s(s(s(0)))), 0)\n\nT136 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
379 [label="379: quot(T136, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 85, CLAUSE: 1 | quot(T136, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 85, CLAUSE: 2 | quot(T136, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 85, CLAUSE: 3 | ?_85\n\nT136 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
380 [label="380: ','(!_85, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 85, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 85, CLAUSE: 3 | ?_85\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
381 [label="381: quot(T136, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 85, CLAUSE: 2 | quot(T136, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 85, CLAUSE: 3 | ?_85\n\nT136 is ground\nX551 is free; \nX552 is free; \nX553 is free; \nquot(T136, s(s(0)), s(s(s(s(0)))), 0) !=? quot(0, s(X551), s(X552), X553)", fontsize=16, style=filled, fillcolor=lightyellow];
382 [label="382: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
383 [label="383: eq(0, 0), SCOPE: 86, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
384 [label="384: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
385 [label="385: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
386 [label="386: quot(T136, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 85, CLAUSE: 3\n\nT136 is ground\nX551 is free; \nX552 is free; \nX553 is free; \nquot(T136, s(s(0)), s(s(s(s(0)))), 0) !=? quot(0, s(X551), s(X552), X553)", fontsize=16, style=filled, fillcolor=lightyellow];
387 [label="387: ','(p(s(s(0)), X567), quot(T137, X567, s(s(s(s(0)))), 0))\n\nT137 is ground\nX551 is free; \nX552 is free; \nX553 is free; \nX567 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
388 [label="388: \n\nX551 is free\nX552 is free; \nX553 is free; \nX563 is free; \nX564 is free; \nX565 is free; \nX566 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
389 [label="389: ','(p(s(s(0)), X567), quot(T137, X567, s(s(s(s(0)))), 0)), SCOPE: 87, CLAUSE: 4 | ','(p(s(s(0)), X567), quot(T137, X567, s(s(s(s(0)))), 0)), SCOPE: 87, CLAUSE: 5\n\nT137 is ground\nX567 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
390 [label="390: ','(p(s(s(0)), X567), quot(T137, X567, s(s(s(s(0)))), 0)), SCOPE: 87, CLAUSE: 5\n\nT137 is ground\nX567 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
391 [label="391: quot(T137, s(0), s(s(s(s(0)))), 0)\n\nT137 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
392 [label="392: quot(T137, s(0), s(s(s(s(0)))), 0), SCOPE: 88, CLAUSE: 1 | quot(T137, s(0), s(s(s(s(0)))), 0), SCOPE: 88, CLAUSE: 2 | quot(T137, s(0), s(s(s(s(0)))), 0), SCOPE: 88, CLAUSE: 3 | ?_88\n\nT137 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
393 [label="393: ','(!_88, eq(0, 0)) | quot(0, s(0), s(s(s(s(0)))), 0), SCOPE: 88, CLAUSE: 2 | quot(0, s(0), s(s(s(s(0)))), 0), SCOPE: 88, CLAUSE: 3 | ?_88\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
394 [label="394: quot(T137, s(0), s(s(s(s(0)))), 0), SCOPE: 88, CLAUSE: 2 | quot(T137, s(0), s(s(s(s(0)))), 0), SCOPE: 88, CLAUSE: 3 | ?_88\n\nT137 is ground\nX573 is free; \nX574 is free; \nX575 is free; \nquot(T137, s(0), s(s(s(s(0)))), 0) !=? quot(0, s(X573), s(X574), X575)", fontsize=16, style=filled, fillcolor=lightyellow];
395 [label="395: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
396 [label="396: eq(0, 0), SCOPE: 89, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
397 [label="397: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
398 [label="398: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
399 [label="399: quot(T137, s(0), s(s(s(s(0)))), 0), SCOPE: 88, CLAUSE: 3\n\nT137 is ground\nX573 is free; \nX574 is free; \nX575 is free; \nquot(T137, s(0), s(s(s(s(0)))), 0) !=? quot(0, s(X573), s(X574), X575)", fontsize=16, style=filled, fillcolor=lightyellow];
400 [label="400: ','(p(s(0), X589), quot(T138, X589, s(s(s(s(0)))), 0))\n\nT138 is ground\nX573 is free; \nX574 is free; \nX575 is free; \nX589 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
401 [label="401: \n\nX573 is free\nX574 is free; \nX575 is free; \nX585 is free; \nX586 is free; \nX587 is free; \nX588 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
402 [label="402: ','(p(s(0), X589), quot(T138, X589, s(s(s(s(0)))), 0)), SCOPE: 90, CLAUSE: 4 | ','(p(s(0), X589), quot(T138, X589, s(s(s(s(0)))), 0)), SCOPE: 90, CLAUSE: 5\n\nT138 is ground\nX589 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
403 [label="403: ','(p(s(0), X589), quot(T138, X589, s(s(s(s(0)))), 0)), SCOPE: 90, CLAUSE: 5\n\nT138 is ground\nX589 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
404 [label="404: quot(T138, 0, s(s(s(s(0)))), 0)\n\nT138 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
405 [label="405: quot(T138, 0, s(s(s(s(0)))), 0), SCOPE: 91, CLAUSE: 1 | quot(T138, 0, s(s(s(s(0)))), 0), SCOPE: 91, CLAUSE: 2 | quot(T138, 0, s(s(s(s(0)))), 0), SCOPE: 91, CLAUSE: 3 | ?_91\n\nT138 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
406 [label="406: quot(T138, 0, s(s(s(s(0)))), 0), SCOPE: 91, CLAUSE: 2 | quot(T138, 0, s(s(s(s(0)))), 0), SCOPE: 91, CLAUSE: 3 | ?_91\n\nT138 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
407 [label="407: ','(!_91, ','(eq(s(s(s(s(0)))), s(X601)), ','(p(0, X602), quot(T139, s(s(s(s(0)))), s(s(s(s(0)))), X602)))) | quot(T139, 0, s(s(s(s(0)))), 0), SCOPE: 91, CLAUSE: 3 | ?_91\n\nT139 is ground\nX601 is free; \nX602 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
408 [label="408: ','(eq(s(s(s(s(0)))), s(X601)), ','(p(0, X602), quot(T139, s(s(s(s(0)))), s(s(s(s(0)))), X602)))\n\nT139 is ground\nX601 is free; \nX602 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
409 [label="409: ','(eq(s(s(s(s(0)))), s(X601)), ','(p(0, X602), quot(T139, s(s(s(s(0)))), s(s(s(s(0)))), X602))), SCOPE: 92, CLAUSE: 6\n\nT139 is ground\nX601 is free; \nX602 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
410 [label="410: ','(p(0, X602), quot(T139, s(s(s(s(0)))), s(s(s(s(0)))), X602))\n\nT139 is ground\nX602 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
411 [label="411: ','(p(0, X602), quot(T139, s(s(s(s(0)))), s(s(s(s(0)))), X602)), SCOPE: 93, CLAUSE: 4 | ','(p(0, X602), quot(T139, s(s(s(s(0)))), s(s(s(s(0)))), X602)), SCOPE: 93, CLAUSE: 5\n\nT139 is ground\nX602 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
412 [label="412: quot(T139, s(s(s(s(0)))), s(s(s(s(0)))), 0) | ','(p(0, X602), quot(T139, s(s(s(s(0)))), s(s(s(s(0)))), X602)), SCOPE: 93, CLAUSE: 5\n\nT139 is ground\nX602 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
413 [label="413: quot(T139, s(s(s(s(0)))), s(s(s(s(0)))), 0)\n\nT139 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
414 [label="414: ','(p(0, X602), quot(T139, s(s(s(s(0)))), s(s(s(s(0)))), X602)), SCOPE: 93, CLAUSE: 5\n\nT139 is ground\nX602 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
415 [label="415: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
416 [label="416: quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), T141)\n\nT132 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
417 [label="417: \n\nX501 is free\nX607 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
418 [label="418: quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), T141), SCOPE: 94, CLAUSE: 1 | quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), T141), SCOPE: 94, CLAUSE: 2 | quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), T141), SCOPE: 94, CLAUSE: 3 | ?_94\n\nT132 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
419 [label="419: ','(!_94, eq(T143, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), T141), SCOPE: 94, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), T141), SCOPE: 94, CLAUSE: 3 | ?_94\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
420 [label="420: quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), T141), SCOPE: 94, CLAUSE: 2 | quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), T141), SCOPE: 94, CLAUSE: 3 | ?_94\n\nT132 is ground\nX611 is free; \nX612 is free; \nX613 is free; \nquot(T132, s(s(s(s(0)))), s(s(s(s(0)))), T141) !=? quot(0, s(X611), s(X612), X613)", fontsize=16, style=filled, fillcolor=lightyellow];
421 [label="421: eq(T143, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
422 [label="422: eq(T143, 0), SCOPE: 95, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
423 [label="423: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
424 [label="424: \n\nX615 is free", fontsize=16, style=filled, fillcolor=lightyellow];
425 [label="425: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
426 [label="426: quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), T141), SCOPE: 94, CLAUSE: 3\n\nT132 is ground\nX611 is free; \nX612 is free; \nX613 is free; \nquot(T132, s(s(s(s(0)))), s(s(s(s(0)))), T141) !=? quot(0, s(X611), s(X612), X613)", fontsize=16, style=filled, fillcolor=lightyellow];
427 [label="427: ','(p(s(s(s(s(0)))), X627), quot(T145, X627, s(s(s(s(0)))), T147))\n\nT145 is ground\nX611 is free; \nX612 is free; \nX613 is free; \nX627 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
428 [label="428: \n\nX611 is free\nX612 is free; \nX613 is free; \nX623 is free; \nX624 is free; \nX625 is free; \nX626 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
429 [label="429: ','(p(s(s(s(s(0)))), X627), quot(T145, X627, s(s(s(s(0)))), T147)), SCOPE: 96, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X627), quot(T145, X627, s(s(s(s(0)))), T147)), SCOPE: 96, CLAUSE: 5\n\nT145 is ground\nX627 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
430 [label="430: ','(p(s(s(s(s(0)))), X627), quot(T145, X627, s(s(s(s(0)))), T147)), SCOPE: 96, CLAUSE: 5\n\nT145 is ground\nX627 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
431 [label="431: quot(T145, s(s(s(0))), s(s(s(s(0)))), T147)\n\nT145 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
432 [label="432: quot(T145, s(s(s(0))), s(s(s(s(0)))), T147), SCOPE: 97, CLAUSE: 1 | quot(T145, s(s(s(0))), s(s(s(s(0)))), T147), SCOPE: 97, CLAUSE: 2 | quot(T145, s(s(s(0))), s(s(s(s(0)))), T147), SCOPE: 97, CLAUSE: 3 | ?_97\n\nT145 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
433 [label="433: ','(!_97, eq(T149, 0)) | quot(0, s(s(s(0))), s(s(s(s(0)))), T147), SCOPE: 97, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(0)))), T147), SCOPE: 97, CLAUSE: 3 | ?_97\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
434 [label="434: quot(T145, s(s(s(0))), s(s(s(s(0)))), T147), SCOPE: 97, CLAUSE: 2 | quot(T145, s(s(s(0))), s(s(s(s(0)))), T147), SCOPE: 97, CLAUSE: 3 | ?_97\n\nT145 is ground\nX633 is free; \nX634 is free; \nX635 is free; \nquot(T145, s(s(s(0))), s(s(s(s(0)))), T147) !=? quot(0, s(X633), s(X634), X635)", fontsize=16, style=filled, fillcolor=lightyellow];
435 [label="435: eq(T149, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
436 [label="436: eq(T149, 0), SCOPE: 98, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
437 [label="437: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
438 [label="438: \n\nX637 is free", fontsize=16, style=filled, fillcolor=lightyellow];
439 [label="439: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
440 [label="440: quot(T145, s(s(s(0))), s(s(s(s(0)))), T147), SCOPE: 97, CLAUSE: 3\n\nT145 is ground\nX633 is free; \nX634 is free; \nX635 is free; \nquot(T145, s(s(s(0))), s(s(s(s(0)))), T147) !=? quot(0, s(X633), s(X634), X635)", fontsize=16, style=filled, fillcolor=lightyellow];
441 [label="441: ','(p(s(s(s(0))), X649), quot(T151, X649, s(s(s(s(0)))), T153))\n\nT151 is ground\nX633 is free; \nX634 is free; \nX635 is free; \nX649 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
442 [label="442: \n\nX633 is free\nX634 is free; \nX635 is free; \nX645 is free; \nX646 is free; \nX647 is free; \nX648 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
443 [label="443: ','(p(s(s(s(0))), X649), quot(T151, X649, s(s(s(s(0)))), T153)), SCOPE: 99, CLAUSE: 4 | ','(p(s(s(s(0))), X649), quot(T151, X649, s(s(s(s(0)))), T153)), SCOPE: 99, CLAUSE: 5\n\nT151 is ground\nX649 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
444 [label="444: ','(p(s(s(s(0))), X649), quot(T151, X649, s(s(s(s(0)))), T153)), SCOPE: 99, CLAUSE: 5\n\nT151 is ground\nX649 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
445 [label="445: quot(T151, s(s(0)), s(s(s(s(0)))), T153)\n\nT151 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
446 [label="446: quot(T151, s(s(0)), s(s(s(s(0)))), T153), SCOPE: 100, CLAUSE: 1 | quot(T151, s(s(0)), s(s(s(s(0)))), T153), SCOPE: 100, CLAUSE: 2 | quot(T151, s(s(0)), s(s(s(s(0)))), T153), SCOPE: 100, CLAUSE: 3 | ?_100\n\nT151 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
447 [label="447: ','(!_100, eq(T155, 0)) | quot(0, s(s(0)), s(s(s(s(0)))), T153), SCOPE: 100, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(0)))), T153), SCOPE: 100, CLAUSE: 3 | ?_100\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
448 [label="448: quot(T151, s(s(0)), s(s(s(s(0)))), T153), SCOPE: 100, CLAUSE: 2 | quot(T151, s(s(0)), s(s(s(s(0)))), T153), SCOPE: 100, CLAUSE: 3 | ?_100\n\nT151 is ground\nX655 is free; \nX656 is free; \nX657 is free; \nquot(T151, s(s(0)), s(s(s(s(0)))), T153) !=? quot(0, s(X655), s(X656), X657)", fontsize=16, style=filled, fillcolor=lightyellow];
449 [label="449: eq(T155, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
450 [label="450: eq(T155, 0), SCOPE: 101, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
451 [label="451: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
452 [label="452: \n\nX659 is free", fontsize=16, style=filled, fillcolor=lightyellow];
453 [label="453: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
454 [label="454: quot(T151, s(s(0)), s(s(s(s(0)))), T153), SCOPE: 100, CLAUSE: 3\n\nT151 is ground\nX655 is free; \nX656 is free; \nX657 is free; \nquot(T151, s(s(0)), s(s(s(s(0)))), T153) !=? quot(0, s(X655), s(X656), X657)", fontsize=16, style=filled, fillcolor=lightyellow];
455 [label="455: ','(p(s(s(0)), X671), quot(T157, X671, s(s(s(s(0)))), T159))\n\nT157 is ground\nX655 is free; \nX656 is free; \nX657 is free; \nX671 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
456 [label="456: \n\nX655 is free\nX656 is free; \nX657 is free; \nX667 is free; \nX668 is free; \nX669 is free; \nX670 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
457 [label="457: ','(p(s(s(0)), X671), quot(T157, X671, s(s(s(s(0)))), T159)), SCOPE: 102, CLAUSE: 4 | ','(p(s(s(0)), X671), quot(T157, X671, s(s(s(s(0)))), T159)), SCOPE: 102, CLAUSE: 5\n\nT157 is ground\nX671 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
458 [label="458: ','(p(s(s(0)), X671), quot(T157, X671, s(s(s(s(0)))), T159)), SCOPE: 102, CLAUSE: 5\n\nT157 is ground\nX671 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
459 [label="459: quot(T157, s(0), s(s(s(s(0)))), T159)\n\nT157 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
460 [label="460: quot(T157, s(0), s(s(s(s(0)))), T159), SCOPE: 103, CLAUSE: 1 | quot(T157, s(0), s(s(s(s(0)))), T159), SCOPE: 103, CLAUSE: 2 | quot(T157, s(0), s(s(s(s(0)))), T159), SCOPE: 103, CLAUSE: 3 | ?_103\n\nT157 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
461 [label="461: ','(!_103, eq(T161, 0)) | quot(0, s(0), s(s(s(s(0)))), T159), SCOPE: 103, CLAUSE: 2 | quot(0, s(0), s(s(s(s(0)))), T159), SCOPE: 103, CLAUSE: 3 | ?_103\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
462 [label="462: quot(T157, s(0), s(s(s(s(0)))), T159), SCOPE: 103, CLAUSE: 2 | quot(T157, s(0), s(s(s(s(0)))), T159), SCOPE: 103, CLAUSE: 3 | ?_103\n\nT157 is ground\nX677 is free; \nX678 is free; \nX679 is free; \nquot(T157, s(0), s(s(s(s(0)))), T159) !=? quot(0, s(X677), s(X678), X679)", fontsize=16, style=filled, fillcolor=lightyellow];
463 [label="463: eq(T161, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
464 [label="464: eq(T161, 0), SCOPE: 104, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
465 [label="465: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
466 [label="466: \n\nX681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
467 [label="467: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
468 [label="468: quot(T157, s(0), s(s(s(s(0)))), T159), SCOPE: 103, CLAUSE: 3\n\nT157 is ground\nX677 is free; \nX678 is free; \nX679 is free; \nquot(T157, s(0), s(s(s(s(0)))), T159) !=? quot(0, s(X677), s(X678), X679)", fontsize=16, style=filled, fillcolor=lightyellow];
469 [label="469: ','(p(s(0), X693), quot(T163, X693, s(s(s(s(0)))), T165))\n\nT163 is ground\nX677 is free; \nX678 is free; \nX679 is free; \nX693 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
470 [label="470: \n\nX677 is free\nX678 is free; \nX679 is free; \nX689 is free; \nX690 is free; \nX691 is free; \nX692 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
471 [label="471: ','(p(s(0), X693), quot(T163, X693, s(s(s(s(0)))), T165)), SCOPE: 105, CLAUSE: 4 | ','(p(s(0), X693), quot(T163, X693, s(s(s(s(0)))), T165)), SCOPE: 105, CLAUSE: 5\n\nT163 is ground\nX693 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
472 [label="472: ','(p(s(0), X693), quot(T163, X693, s(s(s(s(0)))), T165)), SCOPE: 105, CLAUSE: 5\n\nT163 is ground\nX693 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
473 [label="473: quot(T163, 0, s(s(s(s(0)))), T165)\n\nT163 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
474 [label="474: quot(T163, 0, s(s(s(s(0)))), T165), SCOPE: 106, CLAUSE: 1 | quot(T163, 0, s(s(s(s(0)))), T165), SCOPE: 106, CLAUSE: 2 | quot(T163, 0, s(s(s(s(0)))), T165), SCOPE: 106, CLAUSE: 3 | ?_106\n\nT163 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
475 [label="475: quot(T163, 0, s(s(s(s(0)))), T165), SCOPE: 106, CLAUSE: 2 | quot(T163, 0, s(s(s(s(0)))), T165), SCOPE: 106, CLAUSE: 3 | ?_106\n\nT163 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
476 [label="476: ','(!_106, ','(eq(s(s(s(s(0)))), s(X705)), ','(p(T168, X706), quot(T166, s(s(s(s(0)))), s(s(s(s(0)))), X706)))) | quot(T166, 0, s(s(s(s(0)))), T165), SCOPE: 106, CLAUSE: 3 | ?_106\n\nT166 is ground\nX705 is free; \nX706 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
477 [label="477: ','(eq(s(s(s(s(0)))), s(X705)), ','(p(T168, X706), quot(T166, s(s(s(s(0)))), s(s(s(s(0)))), X706)))\n\nT166 is ground\nX705 is free; \nX706 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
478 [label="478: ','(eq(s(s(s(s(0)))), s(X705)), ','(p(T168, X706), quot(T166, s(s(s(s(0)))), s(s(s(s(0)))), X706))), SCOPE: 107, CLAUSE: 6\n\nT166 is ground\nX705 is free; \nX706 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
479 [label="479: ','(p(T168, X706), quot(T166, s(s(s(s(0)))), s(s(s(s(0)))), X706))\n\nT166 is ground\nX706 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
480 [label="480: ','(p(T168, X706), quot(T166, s(s(s(s(0)))), s(s(s(s(0)))), X706)), SCOPE: 108, CLAUSE: 4 | ','(p(T168, X706), quot(T166, s(s(s(s(0)))), s(s(s(s(0)))), X706)), SCOPE: 108, CLAUSE: 5\n\nT166 is ground\nX706 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
481 [label="481: quot(T166, s(s(s(s(0)))), s(s(s(s(0)))), 0) | ','(p(T168, X706), quot(T166, s(s(s(s(0)))), s(s(s(s(0)))), X706)), SCOPE: 108, CLAUSE: 5\n\nT166 is ground\nX706 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
482 [label="482: ','(p(T168, X706), quot(T166, s(s(s(s(0)))), s(s(s(s(0)))), X706)), SCOPE: 108, CLAUSE: 5\n\nT166 is ground\nX706 is free; \np(T168, X706) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
483 [label="483: quot(T166, s(s(s(s(0)))), s(s(s(s(0)))), T170)\n\nT166 is ground\nX706 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
484 [label="484: \n\nX706 is free\nX710 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
485 [label="485: quot(T132, s(s(s(s(0)))), s(s(s(s(0)))), T172)\n\nT132 is ground\nX501 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
486 [label="486: \n\nX501 is free\nX712 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
487 [label="487: ','(p(T174, X721), quot(T173, X721, s(s(s(s(T174)))), T176))\n\nT173 is ground\nT174 is ground\nX489 is free; \nX490 is free; \nX491 is free; \nX497 is free; \nX498 is free; \nX499 is free; \nX721 is free; \nquot(s(T173), T174, s(s(s(s(T174)))), T126) !=? quot(X497, 0, X498, X499)", fontsize=16, style=filled, fillcolor=lightyellow];
488 [label="488: \n\nX489 is free\nX490 is free; \nX491 is free; \nX497 is free; \nX498 is free; \nX499 is free; \nX717 is free; \nX718 is free; \nX719 is free; \nX720 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
489 [label="489: ','(p(T174, X721), quot(T173, X721, s(s(s(s(T174)))), T176)), SCOPE: 109, CLAUSE: 4 | ','(p(T174, X721), quot(T173, X721, s(s(s(s(T174)))), T176)), SCOPE: 109, CLAUSE: 5\n\nT173 is ground\nT174 is ground\nX497 is free; \nX498 is free; \nX499 is free; \nX721 is free; \nquot(s(T173), T174, s(s(s(s(T174)))), T126) !=? quot(X497, 0, X498, X499)", fontsize=16, style=filled, fillcolor=lightyellow];
490 [label="490: ','(p(T174, X721), quot(T173, X721, s(s(s(s(T174)))), T176)), SCOPE: 109, CLAUSE: 5\n\nT173 is ground\nT174 is ground\nX497 is free; \nX498 is free; \nX499 is free; \nX721 is free; \nquot(s(T173), T174, s(s(s(s(T174)))), T126) !=? quot(X497, 0, X498, X499)\np(T174, X721) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
491 [label="491: quot(T173, T177, s(s(s(s(s(T177))))), T176)\n\nT173 is ground\nT177 is ground\nX497 is free; \nX498 is free; \nX499 is free; \nX721 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
492 [label="492: \n\nX497 is free\nX498 is free; \nX499 is free; \nX721 is free; \nX723 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
493 [label="493: quot(T173, T177, s(s(s(s(s(T177))))), T176), SCOPE: 110, CLAUSE: 1 | quot(T173, T177, s(s(s(s(s(T177))))), T176), SCOPE: 110, CLAUSE: 2 | quot(T173, T177, s(s(s(s(s(T177))))), T176), SCOPE: 110, CLAUSE: 3 | ?_110\n\nT173 is ground\nT177 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
494 [label="494: ','(!_110, eq(T180, 0)) | quot(0, s(T178), s(s(s(s(s(s(T178)))))), T176), SCOPE: 110, CLAUSE: 2 | quot(0, s(T178), s(s(s(s(s(s(T178)))))), T176), SCOPE: 110, CLAUSE: 3 | ?_110\n\nT178 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
495 [label="495: quot(T173, T177, s(s(s(s(s(T177))))), T176), SCOPE: 110, CLAUSE: 2 | quot(T173, T177, s(s(s(s(s(T177))))), T176), SCOPE: 110, CLAUSE: 3 | ?_110\n\nT173 is ground\nT177 is ground\nX727 is free; \nX728 is free; \nX729 is free; \nquot(T173, T177, s(s(s(s(s(T177))))), T176) !=? quot(0, s(X727), s(X728), X729)", fontsize=16, style=filled, fillcolor=lightyellow];
496 [label="496: eq(T180, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
497 [label="497: eq(T180, 0), SCOPE: 111, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
498 [label="498: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
499 [label="499: \n\nX731 is free", fontsize=16, style=filled, fillcolor=lightyellow];
500 [label="500: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
501 [label="501: ','(!_110, ','(eq(s(s(s(s(s(0))))), s(X738)), ','(p(T184, X739), quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X739)))) | quot(T182, 0, s(s(s(s(s(0))))), T176), SCOPE: 110, CLAUSE: 3 | ?_110\n\nT182 is ground\nX727 is free; \nX728 is free; \nX729 is free; \nX738 is free; \nX739 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
502 [label="502: quot(T173, T177, s(s(s(s(s(T177))))), T176), SCOPE: 110, CLAUSE: 3\n\nT173 is ground\nT177 is ground\nX727 is free; \nX728 is free; \nX729 is free; \nX735 is free; \nX736 is free; \nX737 is free; \nquot(T173, T177, s(s(s(s(s(T177))))), T176) !=? quot(0, s(X727), s(X728), X729)\nquot(T173, T177, s(s(s(s(s(T177))))), T176) !=? quot(X735, 0, X736, X737)", fontsize=16, style=filled, fillcolor=lightyellow];
503 [label="503: ','(eq(s(s(s(s(s(0))))), s(X738)), ','(p(T184, X739), quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X739)))\n\nT182 is ground\nX738 is free; \nX739 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
504 [label="504: ','(eq(s(s(s(s(s(0))))), s(X738)), ','(p(T184, X739), quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X739))), SCOPE: 112, CLAUSE: 6\n\nT182 is ground\nX738 is free; \nX739 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
505 [label="505: ','(p(T184, X739), quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X739))\n\nT182 is ground\nX739 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
506 [label="506: ','(p(T184, X739), quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X739)), SCOPE: 113, CLAUSE: 4 | ','(p(T184, X739), quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X739)), SCOPE: 113, CLAUSE: 5\n\nT182 is ground\nX739 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
507 [label="507: quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) | ','(p(T184, X739), quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X739)), SCOPE: 113, CLAUSE: 5\n\nT182 is ground\nX739 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
508 [label="508: ','(p(T184, X739), quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X739)), SCOPE: 113, CLAUSE: 5\n\nT182 is ground\nX739 is free; \np(T184, X739) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
509 [label="509: quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)\n\nT182 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
510 [label="510: ','(p(T184, X739), quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X739)), SCOPE: 113, CLAUSE: 5\n\nT182 is ground\nX739 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
511 [label="511: quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 114, CLAUSE: 1 | quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 114, CLAUSE: 2 | quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 114, CLAUSE: 3 | ?_114\n\nT182 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
512 [label="512: ','(!_114, eq(0, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 114, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 114, CLAUSE: 3 | ?_114\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
513 [label="513: quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 114, CLAUSE: 2 | quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 114, CLAUSE: 3 | ?_114\n\nT182 is ground\nX745 is free; \nX746 is free; \nX747 is free; \nquot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X745), s(X746), X747)", fontsize=16, style=filled, fillcolor=lightyellow];
514 [label="514: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
515 [label="515: eq(0, 0), SCOPE: 115, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
516 [label="516: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
517 [label="517: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
518 [label="518: quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 114, CLAUSE: 3\n\nT182 is ground\nX745 is free; \nX746 is free; \nX747 is free; \nquot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X745), s(X746), X747)", fontsize=16, style=filled, fillcolor=lightyellow];
519 [label="519: ','(p(s(s(s(s(s(0))))), X761), quot(T185, X761, s(s(s(s(s(0))))), 0))\n\nT185 is ground\nX745 is free; \nX746 is free; \nX747 is free; \nX761 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
520 [label="520: \n\nX745 is free\nX746 is free; \nX747 is free; \nX757 is free; \nX758 is free; \nX759 is free; \nX760 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
521 [label="521: ','(p(s(s(s(s(s(0))))), X761), quot(T185, X761, s(s(s(s(s(0))))), 0)), SCOPE: 116, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X761), quot(T185, X761, s(s(s(s(s(0))))), 0)), SCOPE: 116, CLAUSE: 5\n\nT185 is ground\nX761 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
522 [label="522: ','(p(s(s(s(s(s(0))))), X761), quot(T185, X761, s(s(s(s(s(0))))), 0)), SCOPE: 116, CLAUSE: 5\n\nT185 is ground\nX761 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
523 [label="523: quot(T185, s(s(s(s(0)))), s(s(s(s(s(0))))), 0)\n\nT185 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
524 [label="524: quot(T185, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 117, CLAUSE: 1 | quot(T185, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 117, CLAUSE: 2 | quot(T185, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 117, CLAUSE: 3 | ?_117\n\nT185 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
525 [label="525: ','(!_117, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 117, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 117, CLAUSE: 3 | ?_117\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
526 [label="526: quot(T185, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 117, CLAUSE: 2 | quot(T185, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 117, CLAUSE: 3 | ?_117\n\nT185 is ground\nX767 is free; \nX768 is free; \nX769 is free; \nquot(T185, s(s(s(s(0)))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X767), s(X768), X769)", fontsize=16, style=filled, fillcolor=lightyellow];
527 [label="527: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
528 [label="528: eq(0, 0), SCOPE: 118, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
529 [label="529: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
530 [label="530: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
531 [label="531: quot(T185, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 117, CLAUSE: 3\n\nT185 is ground\nX767 is free; \nX768 is free; \nX769 is free; \nquot(T185, s(s(s(s(0)))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X767), s(X768), X769)", fontsize=16, style=filled, fillcolor=lightyellow];
532 [label="532: ','(p(s(s(s(s(0)))), X783), quot(T186, X783, s(s(s(s(s(0))))), 0))\n\nT186 is ground\nX767 is free; \nX768 is free; \nX769 is free; \nX783 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
533 [label="533: \n\nX767 is free\nX768 is free; \nX769 is free; \nX779 is free; \nX780 is free; \nX781 is free; \nX782 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
534 [label="534: ','(p(s(s(s(s(0)))), X783), quot(T186, X783, s(s(s(s(s(0))))), 0)), SCOPE: 119, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X783), quot(T186, X783, s(s(s(s(s(0))))), 0)), SCOPE: 119, CLAUSE: 5\n\nT186 is ground\nX783 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
535 [label="535: ','(p(s(s(s(s(0)))), X783), quot(T186, X783, s(s(s(s(s(0))))), 0)), SCOPE: 119, CLAUSE: 5\n\nT186 is ground\nX783 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
536 [label="536: quot(T186, s(s(s(0))), s(s(s(s(s(0))))), 0)\n\nT186 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
537 [label="537: quot(T186, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 120, CLAUSE: 1 | quot(T186, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 120, CLAUSE: 2 | quot(T186, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 120, CLAUSE: 3 | ?_120\n\nT186 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
538 [label="538: ','(!_120, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 120, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 120, CLAUSE: 3 | ?_120\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
539 [label="539: quot(T186, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 120, CLAUSE: 2 | quot(T186, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 120, CLAUSE: 3 | ?_120\n\nT186 is ground\nX789 is free; \nX790 is free; \nX791 is free; \nquot(T186, s(s(s(0))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X789), s(X790), X791)", fontsize=16, style=filled, fillcolor=lightyellow];
540 [label="540: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
541 [label="541: eq(0, 0), SCOPE: 121, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
542 [label="542: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
543 [label="543: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
544 [label="544: quot(T186, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 120, CLAUSE: 3\n\nT186 is ground\nX789 is free; \nX790 is free; \nX791 is free; \nquot(T186, s(s(s(0))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X789), s(X790), X791)", fontsize=16, style=filled, fillcolor=lightyellow];
545 [label="545: ','(p(s(s(s(0))), X805), quot(T187, X805, s(s(s(s(s(0))))), 0))\n\nT187 is ground\nX789 is free; \nX790 is free; \nX791 is free; \nX805 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
546 [label="546: \n\nX789 is free\nX790 is free; \nX791 is free; \nX801 is free; \nX802 is free; \nX803 is free; \nX804 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
547 [label="547: ','(p(s(s(s(0))), X805), quot(T187, X805, s(s(s(s(s(0))))), 0)), SCOPE: 122, CLAUSE: 4 | ','(p(s(s(s(0))), X805), quot(T187, X805, s(s(s(s(s(0))))), 0)), SCOPE: 122, CLAUSE: 5\n\nT187 is ground\nX805 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
548 [label="548: ','(p(s(s(s(0))), X805), quot(T187, X805, s(s(s(s(s(0))))), 0)), SCOPE: 122, CLAUSE: 5\n\nT187 is ground\nX805 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
549 [label="549: quot(T187, s(s(0)), s(s(s(s(s(0))))), 0)\n\nT187 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
550 [label="550: quot(T187, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 123, CLAUSE: 1 | quot(T187, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 123, CLAUSE: 2 | quot(T187, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 123, CLAUSE: 3 | ?_123\n\nT187 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
551 [label="551: ','(!_123, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 123, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 123, CLAUSE: 3 | ?_123\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
552 [label="552: quot(T187, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 123, CLAUSE: 2 | quot(T187, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 123, CLAUSE: 3 | ?_123\n\nT187 is ground\nX811 is free; \nX812 is free; \nX813 is free; \nquot(T187, s(s(0)), s(s(s(s(s(0))))), 0) !=? quot(0, s(X811), s(X812), X813)", fontsize=16, style=filled, fillcolor=lightyellow];
553 [label="553: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
554 [label="554: eq(0, 0), SCOPE: 124, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
555 [label="555: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
556 [label="556: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
557 [label="557: quot(T187, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 123, CLAUSE: 3\n\nT187 is ground\nX811 is free; \nX812 is free; \nX813 is free; \nquot(T187, s(s(0)), s(s(s(s(s(0))))), 0) !=? quot(0, s(X811), s(X812), X813)", fontsize=16, style=filled, fillcolor=lightyellow];
558 [label="558: ','(p(s(s(0)), X827), quot(T188, X827, s(s(s(s(s(0))))), 0))\n\nT188 is ground\nX811 is free; \nX812 is free; \nX813 is free; \nX827 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
559 [label="559: \n\nX811 is free\nX812 is free; \nX813 is free; \nX823 is free; \nX824 is free; \nX825 is free; \nX826 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
560 [label="560: ','(p(s(s(0)), X827), quot(T188, X827, s(s(s(s(s(0))))), 0)), SCOPE: 125, CLAUSE: 4 | ','(p(s(s(0)), X827), quot(T188, X827, s(s(s(s(s(0))))), 0)), SCOPE: 125, CLAUSE: 5\n\nT188 is ground\nX827 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
561 [label="561: ','(p(s(s(0)), X827), quot(T188, X827, s(s(s(s(s(0))))), 0)), SCOPE: 125, CLAUSE: 5\n\nT188 is ground\nX827 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
562 [label="562: quot(T188, s(0), s(s(s(s(s(0))))), 0)\n\nT188 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
563 [label="563: quot(T188, s(0), s(s(s(s(s(0))))), 0), SCOPE: 126, CLAUSE: 1 | quot(T188, s(0), s(s(s(s(s(0))))), 0), SCOPE: 126, CLAUSE: 2 | quot(T188, s(0), s(s(s(s(s(0))))), 0), SCOPE: 126, CLAUSE: 3 | ?_126\n\nT188 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
564 [label="564: ','(!_126, eq(0, 0)) | quot(0, s(0), s(s(s(s(s(0))))), 0), SCOPE: 126, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(0))))), 0), SCOPE: 126, CLAUSE: 3 | ?_126\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
565 [label="565: quot(T188, s(0), s(s(s(s(s(0))))), 0), SCOPE: 126, CLAUSE: 2 | quot(T188, s(0), s(s(s(s(s(0))))), 0), SCOPE: 126, CLAUSE: 3 | ?_126\n\nT188 is ground\nX833 is free; \nX834 is free; \nX835 is free; \nquot(T188, s(0), s(s(s(s(s(0))))), 0) !=? quot(0, s(X833), s(X834), X835)", fontsize=16, style=filled, fillcolor=lightyellow];
566 [label="566: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
567 [label="567: eq(0, 0), SCOPE: 127, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
568 [label="568: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
569 [label="569: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
570 [label="570: quot(T188, s(0), s(s(s(s(s(0))))), 0), SCOPE: 126, CLAUSE: 3\n\nT188 is ground\nX833 is free; \nX834 is free; \nX835 is free; \nquot(T188, s(0), s(s(s(s(s(0))))), 0) !=? quot(0, s(X833), s(X834), X835)", fontsize=16, style=filled, fillcolor=lightyellow];
571 [label="571: ','(p(s(0), X849), quot(T189, X849, s(s(s(s(s(0))))), 0))\n\nT189 is ground\nX833 is free; \nX834 is free; \nX835 is free; \nX849 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
572 [label="572: \n\nX833 is free\nX834 is free; \nX835 is free; \nX845 is free; \nX846 is free; \nX847 is free; \nX848 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
573 [label="573: ','(p(s(0), X849), quot(T189, X849, s(s(s(s(s(0))))), 0)), SCOPE: 128, CLAUSE: 4 | ','(p(s(0), X849), quot(T189, X849, s(s(s(s(s(0))))), 0)), SCOPE: 128, CLAUSE: 5\n\nT189 is ground\nX849 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
574 [label="574: ','(p(s(0), X849), quot(T189, X849, s(s(s(s(s(0))))), 0)), SCOPE: 128, CLAUSE: 5\n\nT189 is ground\nX849 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
575 [label="575: quot(T189, 0, s(s(s(s(s(0))))), 0)\n\nT189 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
576 [label="576: quot(T189, 0, s(s(s(s(s(0))))), 0), SCOPE: 129, CLAUSE: 1 | quot(T189, 0, s(s(s(s(s(0))))), 0), SCOPE: 129, CLAUSE: 2 | quot(T189, 0, s(s(s(s(s(0))))), 0), SCOPE: 129, CLAUSE: 3 | ?_129\n\nT189 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
577 [label="577: quot(T189, 0, s(s(s(s(s(0))))), 0), SCOPE: 129, CLAUSE: 2 | quot(T189, 0, s(s(s(s(s(0))))), 0), SCOPE: 129, CLAUSE: 3 | ?_129\n\nT189 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
578 [label="578: ','(!_129, ','(eq(s(s(s(s(s(0))))), s(X861)), ','(p(0, X862), quot(T190, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X862)))) | quot(T190, 0, s(s(s(s(s(0))))), 0), SCOPE: 129, CLAUSE: 3 | ?_129\n\nT190 is ground\nX861 is free; \nX862 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
579 [label="579: ','(eq(s(s(s(s(s(0))))), s(X861)), ','(p(0, X862), quot(T190, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X862)))\n\nT190 is ground\nX861 is free; \nX862 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
580 [label="580: ','(eq(s(s(s(s(s(0))))), s(X861)), ','(p(0, X862), quot(T190, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X862))), SCOPE: 130, CLAUSE: 6\n\nT190 is ground\nX861 is free; \nX862 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
581 [label="581: ','(p(0, X862), quot(T190, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X862))\n\nT190 is ground\nX862 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
582 [label="582: ','(p(0, X862), quot(T190, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X862)), SCOPE: 131, CLAUSE: 4 | ','(p(0, X862), quot(T190, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X862)), SCOPE: 131, CLAUSE: 5\n\nT190 is ground\nX862 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
583 [label="583: quot(T190, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) | ','(p(0, X862), quot(T190, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X862)), SCOPE: 131, CLAUSE: 5\n\nT190 is ground\nX862 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
584 [label="584: quot(T190, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)\n\nT190 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
585 [label="585: ','(p(0, X862), quot(T190, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X862)), SCOPE: 131, CLAUSE: 5\n\nT190 is ground\nX862 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
586 [label="586: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
587 [label="587: quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192)\n\nT182 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
588 [label="588: \n\nX739 is free\nX867 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
589 [label="589: quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192), SCOPE: 132, CLAUSE: 1 | quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192), SCOPE: 132, CLAUSE: 2 | quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192), SCOPE: 132, CLAUSE: 3 | ?_132\n\nT182 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
590 [label="590: ','(!_132, eq(T194, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192), SCOPE: 132, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192), SCOPE: 132, CLAUSE: 3 | ?_132\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
591 [label="591: quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192), SCOPE: 132, CLAUSE: 2 | quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192), SCOPE: 132, CLAUSE: 3 | ?_132\n\nT182 is ground\nX871 is free; \nX872 is free; \nX873 is free; \nquot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192) !=? quot(0, s(X871), s(X872), X873)", fontsize=16, style=filled, fillcolor=lightyellow];
592 [label="592: eq(T194, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
593 [label="593: eq(T194, 0), SCOPE: 133, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
594 [label="594: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
595 [label="595: \n\nX875 is free", fontsize=16, style=filled, fillcolor=lightyellow];
596 [label="596: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
597 [label="597: quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192), SCOPE: 132, CLAUSE: 3\n\nT182 is ground\nX871 is free; \nX872 is free; \nX873 is free; \nquot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T192) !=? quot(0, s(X871), s(X872), X873)", fontsize=16, style=filled, fillcolor=lightyellow];
598 [label="598: ','(p(s(s(s(s(s(0))))), X887), quot(T196, X887, s(s(s(s(s(0))))), T198))\n\nT196 is ground\nX871 is free; \nX872 is free; \nX873 is free; \nX887 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
599 [label="599: \n\nX871 is free\nX872 is free; \nX873 is free; \nX883 is free; \nX884 is free; \nX885 is free; \nX886 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
600 [label="600: ','(p(s(s(s(s(s(0))))), X887), quot(T196, X887, s(s(s(s(s(0))))), T198)), SCOPE: 134, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X887), quot(T196, X887, s(s(s(s(s(0))))), T198)), SCOPE: 134, CLAUSE: 5\n\nT196 is ground\nX887 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
601 [label="601: ','(p(s(s(s(s(s(0))))), X887), quot(T196, X887, s(s(s(s(s(0))))), T198)), SCOPE: 134, CLAUSE: 5\n\nT196 is ground\nX887 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
602 [label="602: quot(T196, s(s(s(s(0)))), s(s(s(s(s(0))))), T198)\n\nT196 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
603 [label="603: quot(T196, s(s(s(s(0)))), s(s(s(s(s(0))))), T198), SCOPE: 135, CLAUSE: 1 | quot(T196, s(s(s(s(0)))), s(s(s(s(s(0))))), T198), SCOPE: 135, CLAUSE: 2 | quot(T196, s(s(s(s(0)))), s(s(s(s(s(0))))), T198), SCOPE: 135, CLAUSE: 3 | ?_135\n\nT196 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
604 [label="604: ','(!_135, eq(T200, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), T198), SCOPE: 135, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), T198), SCOPE: 135, CLAUSE: 3 | ?_135\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
605 [label="605: quot(T196, s(s(s(s(0)))), s(s(s(s(s(0))))), T198), SCOPE: 135, CLAUSE: 2 | quot(T196, s(s(s(s(0)))), s(s(s(s(s(0))))), T198), SCOPE: 135, CLAUSE: 3 | ?_135\n\nT196 is ground\nX893 is free; \nX894 is free; \nX895 is free; \nquot(T196, s(s(s(s(0)))), s(s(s(s(s(0))))), T198) !=? quot(0, s(X893), s(X894), X895)", fontsize=16, style=filled, fillcolor=lightyellow];
606 [label="606: eq(T200, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
607 [label="607: eq(T200, 0), SCOPE: 136, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
608 [label="608: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
609 [label="609: \n\nX897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
610 [label="610: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
611 [label="611: quot(T196, s(s(s(s(0)))), s(s(s(s(s(0))))), T198), SCOPE: 135, CLAUSE: 3\n\nT196 is ground\nX893 is free; \nX894 is free; \nX895 is free; \nquot(T196, s(s(s(s(0)))), s(s(s(s(s(0))))), T198) !=? quot(0, s(X893), s(X894), X895)", fontsize=16, style=filled, fillcolor=lightyellow];
612 [label="612: ','(p(s(s(s(s(0)))), X909), quot(T202, X909, s(s(s(s(s(0))))), T204))\n\nT202 is ground\nX893 is free; \nX894 is free; \nX895 is free; \nX909 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
613 [label="613: \n\nX893 is free\nX894 is free; \nX895 is free; \nX905 is free; \nX906 is free; \nX907 is free; \nX908 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
614 [label="614: ','(p(s(s(s(s(0)))), X909), quot(T202, X909, s(s(s(s(s(0))))), T204)), SCOPE: 137, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X909), quot(T202, X909, s(s(s(s(s(0))))), T204)), SCOPE: 137, CLAUSE: 5\n\nT202 is ground\nX909 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
615 [label="615: ','(p(s(s(s(s(0)))), X909), quot(T202, X909, s(s(s(s(s(0))))), T204)), SCOPE: 137, CLAUSE: 5\n\nT202 is ground\nX909 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
616 [label="616: quot(T202, s(s(s(0))), s(s(s(s(s(0))))), T204)\n\nT202 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
617 [label="617: quot(T202, s(s(s(0))), s(s(s(s(s(0))))), T204), SCOPE: 138, CLAUSE: 1 | quot(T202, s(s(s(0))), s(s(s(s(s(0))))), T204), SCOPE: 138, CLAUSE: 2 | quot(T202, s(s(s(0))), s(s(s(s(s(0))))), T204), SCOPE: 138, CLAUSE: 3 | ?_138\n\nT202 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
618 [label="618: ','(!_138, eq(T206, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(0))))), T204), SCOPE: 138, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(0))))), T204), SCOPE: 138, CLAUSE: 3 | ?_138\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
619 [label="619: quot(T202, s(s(s(0))), s(s(s(s(s(0))))), T204), SCOPE: 138, CLAUSE: 2 | quot(T202, s(s(s(0))), s(s(s(s(s(0))))), T204), SCOPE: 138, CLAUSE: 3 | ?_138\n\nT202 is ground\nX915 is free; \nX916 is free; \nX917 is free; \nquot(T202, s(s(s(0))), s(s(s(s(s(0))))), T204) !=? quot(0, s(X915), s(X916), X917)", fontsize=16, style=filled, fillcolor=lightyellow];
620 [label="620: eq(T206, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
621 [label="621: eq(T206, 0), SCOPE: 139, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
622 [label="622: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
623 [label="623: \n\nX919 is free", fontsize=16, style=filled, fillcolor=lightyellow];
624 [label="624: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
625 [label="625: quot(T202, s(s(s(0))), s(s(s(s(s(0))))), T204), SCOPE: 138, CLAUSE: 3\n\nT202 is ground\nX915 is free; \nX916 is free; \nX917 is free; \nquot(T202, s(s(s(0))), s(s(s(s(s(0))))), T204) !=? quot(0, s(X915), s(X916), X917)", fontsize=16, style=filled, fillcolor=lightyellow];
626 [label="626: ','(p(s(s(s(0))), X931), quot(T208, X931, s(s(s(s(s(0))))), T210))\n\nT208 is ground\nX915 is free; \nX916 is free; \nX917 is free; \nX931 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
627 [label="627: \n\nX915 is free\nX916 is free; \nX917 is free; \nX927 is free; \nX928 is free; \nX929 is free; \nX930 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
628 [label="628: ','(p(s(s(s(0))), X931), quot(T208, X931, s(s(s(s(s(0))))), T210)), SCOPE: 140, CLAUSE: 4 | ','(p(s(s(s(0))), X931), quot(T208, X931, s(s(s(s(s(0))))), T210)), SCOPE: 140, CLAUSE: 5\n\nT208 is ground\nX931 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
629 [label="629: ','(p(s(s(s(0))), X931), quot(T208, X931, s(s(s(s(s(0))))), T210)), SCOPE: 140, CLAUSE: 5\n\nT208 is ground\nX931 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
630 [label="630: quot(T208, s(s(0)), s(s(s(s(s(0))))), T210)\n\nT208 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
631 [label="631: quot(T208, s(s(0)), s(s(s(s(s(0))))), T210), SCOPE: 141, CLAUSE: 1 | quot(T208, s(s(0)), s(s(s(s(s(0))))), T210), SCOPE: 141, CLAUSE: 2 | quot(T208, s(s(0)), s(s(s(s(s(0))))), T210), SCOPE: 141, CLAUSE: 3 | ?_141\n\nT208 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
632 [label="632: ','(!_141, eq(T212, 0)) | quot(0, s(s(0)), s(s(s(s(s(0))))), T210), SCOPE: 141, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(0))))), T210), SCOPE: 141, CLAUSE: 3 | ?_141\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
633 [label="633: quot(T208, s(s(0)), s(s(s(s(s(0))))), T210), SCOPE: 141, CLAUSE: 2 | quot(T208, s(s(0)), s(s(s(s(s(0))))), T210), SCOPE: 141, CLAUSE: 3 | ?_141\n\nT208 is ground\nX937 is free; \nX938 is free; \nX939 is free; \nquot(T208, s(s(0)), s(s(s(s(s(0))))), T210) !=? quot(0, s(X937), s(X938), X939)", fontsize=16, style=filled, fillcolor=lightyellow];
634 [label="634: eq(T212, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
635 [label="635: eq(T212, 0), SCOPE: 142, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
636 [label="636: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
637 [label="637: \n\nX941 is free", fontsize=16, style=filled, fillcolor=lightyellow];
638 [label="638: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
639 [label="639: quot(T208, s(s(0)), s(s(s(s(s(0))))), T210), SCOPE: 141, CLAUSE: 3\n\nT208 is ground\nX937 is free; \nX938 is free; \nX939 is free; \nquot(T208, s(s(0)), s(s(s(s(s(0))))), T210) !=? quot(0, s(X937), s(X938), X939)", fontsize=16, style=filled, fillcolor=lightyellow];
640 [label="640: ','(p(s(s(0)), X953), quot(T214, X953, s(s(s(s(s(0))))), T216))\n\nT214 is ground\nX937 is free; \nX938 is free; \nX939 is free; \nX953 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
641 [label="641: \n\nX937 is free\nX938 is free; \nX939 is free; \nX949 is free; \nX950 is free; \nX951 is free; \nX952 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
642 [label="642: ','(p(s(s(0)), X953), quot(T214, X953, s(s(s(s(s(0))))), T216)), SCOPE: 143, CLAUSE: 4 | ','(p(s(s(0)), X953), quot(T214, X953, s(s(s(s(s(0))))), T216)), SCOPE: 143, CLAUSE: 5\n\nT214 is ground\nX953 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
643 [label="643: ','(p(s(s(0)), X953), quot(T214, X953, s(s(s(s(s(0))))), T216)), SCOPE: 143, CLAUSE: 5\n\nT214 is ground\nX953 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
644 [label="644: quot(T214, s(0), s(s(s(s(s(0))))), T216)\n\nT214 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
645 [label="645: quot(T214, s(0), s(s(s(s(s(0))))), T216), SCOPE: 144, CLAUSE: 1 | quot(T214, s(0), s(s(s(s(s(0))))), T216), SCOPE: 144, CLAUSE: 2 | quot(T214, s(0), s(s(s(s(s(0))))), T216), SCOPE: 144, CLAUSE: 3 | ?_144\n\nT214 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
646 [label="646: ','(!_144, eq(T218, 0)) | quot(0, s(0), s(s(s(s(s(0))))), T216), SCOPE: 144, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(0))))), T216), SCOPE: 144, CLAUSE: 3 | ?_144\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
647 [label="647: quot(T214, s(0), s(s(s(s(s(0))))), T216), SCOPE: 144, CLAUSE: 2 | quot(T214, s(0), s(s(s(s(s(0))))), T216), SCOPE: 144, CLAUSE: 3 | ?_144\n\nT214 is ground\nX959 is free; \nX960 is free; \nX961 is free; \nquot(T214, s(0), s(s(s(s(s(0))))), T216) !=? quot(0, s(X959), s(X960), X961)", fontsize=16, style=filled, fillcolor=lightyellow];
648 [label="648: eq(T218, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
649 [label="649: eq(T218, 0), SCOPE: 145, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
650 [label="650: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
651 [label="651: \n\nX963 is free", fontsize=16, style=filled, fillcolor=lightyellow];
652 [label="652: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
653 [label="653: quot(T214, s(0), s(s(s(s(s(0))))), T216), SCOPE: 144, CLAUSE: 3\n\nT214 is ground\nX959 is free; \nX960 is free; \nX961 is free; \nquot(T214, s(0), s(s(s(s(s(0))))), T216) !=? quot(0, s(X959), s(X960), X961)", fontsize=16, style=filled, fillcolor=lightyellow];
654 [label="654: ','(p(s(0), X975), quot(T220, X975, s(s(s(s(s(0))))), T222))\n\nT220 is ground\nX959 is free; \nX960 is free; \nX961 is free; \nX975 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
655 [label="655: \n\nX959 is free\nX960 is free; \nX961 is free; \nX971 is free; \nX972 is free; \nX973 is free; \nX974 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
656 [label="656: ','(p(s(0), X975), quot(T220, X975, s(s(s(s(s(0))))), T222)), SCOPE: 146, CLAUSE: 4 | ','(p(s(0), X975), quot(T220, X975, s(s(s(s(s(0))))), T222)), SCOPE: 146, CLAUSE: 5\n\nT220 is ground\nX975 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
657 [label="657: ','(p(s(0), X975), quot(T220, X975, s(s(s(s(s(0))))), T222)), SCOPE: 146, CLAUSE: 5\n\nT220 is ground\nX975 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
658 [label="658: quot(T220, 0, s(s(s(s(s(0))))), T222)\n\nT220 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
659 [label="659: quot(T220, 0, s(s(s(s(s(0))))), T222), SCOPE: 147, CLAUSE: 1 | quot(T220, 0, s(s(s(s(s(0))))), T222), SCOPE: 147, CLAUSE: 2 | quot(T220, 0, s(s(s(s(s(0))))), T222), SCOPE: 147, CLAUSE: 3 | ?_147\n\nT220 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
660 [label="660: quot(T220, 0, s(s(s(s(s(0))))), T222), SCOPE: 147, CLAUSE: 2 | quot(T220, 0, s(s(s(s(s(0))))), T222), SCOPE: 147, CLAUSE: 3 | ?_147\n\nT220 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
661 [label="661: ','(!_147, ','(eq(s(s(s(s(s(0))))), s(X987)), ','(p(T225, X988), quot(T223, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X988)))) | quot(T223, 0, s(s(s(s(s(0))))), T222), SCOPE: 147, CLAUSE: 3 | ?_147\n\nT223 is ground\nX987 is free; \nX988 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
662 [label="662: ','(eq(s(s(s(s(s(0))))), s(X987)), ','(p(T225, X988), quot(T223, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X988)))\n\nT223 is ground\nX987 is free; \nX988 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
663 [label="663: ','(eq(s(s(s(s(s(0))))), s(X987)), ','(p(T225, X988), quot(T223, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X988))), SCOPE: 148, CLAUSE: 6\n\nT223 is ground\nX987 is free; \nX988 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
664 [label="664: ','(p(T225, X988), quot(T223, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X988))\n\nT223 is ground\nX988 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
665 [label="665: ','(p(T225, X988), quot(T223, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X988)), SCOPE: 149, CLAUSE: 4 | ','(p(T225, X988), quot(T223, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X988)), SCOPE: 149, CLAUSE: 5\n\nT223 is ground\nX988 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
666 [label="666: quot(T223, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) | ','(p(T225, X988), quot(T223, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X988)), SCOPE: 149, CLAUSE: 5\n\nT223 is ground\nX988 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
667 [label="667: ','(p(T225, X988), quot(T223, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X988)), SCOPE: 149, CLAUSE: 5\n\nT223 is ground\nX988 is free; \np(T225, X988) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
668 [label="668: quot(T223, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T227)\n\nT223 is ground\nX988 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
669 [label="669: \n\nX988 is free\nX992 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
670 [label="670: quot(T182, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T229)\n\nT182 is ground\nX739 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
671 [label="671: \n\nX739 is free\nX994 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
672 [label="672: ','(p(T231, X1003), quot(T230, X1003, s(s(s(s(s(T231))))), T233))\n\nT230 is ground\nT231 is ground\nX727 is free; \nX728 is free; \nX729 is free; \nX735 is free; \nX736 is free; \nX737 is free; \nX1003 is free; \nquot(s(T230), T231, s(s(s(s(s(T231))))), T176) !=? quot(X735, 0, X736, X737)", fontsize=16, style=filled, fillcolor=lightyellow];
673 [label="673: \n\nX727 is free\nX728 is free; \nX729 is free; \nX735 is free; \nX736 is free; \nX737 is free; \nX999 is free; \nX1000 is free; \nX1001 is free; \nX1002 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
674 [label="674: ','(p(T231, X1003), quot(T230, X1003, s(s(s(s(s(T231))))), T233)), SCOPE: 150, CLAUSE: 4 | ','(p(T231, X1003), quot(T230, X1003, s(s(s(s(s(T231))))), T233)), SCOPE: 150, CLAUSE: 5\n\nT230 is ground\nT231 is ground\nX735 is free; \nX736 is free; \nX737 is free; \nX1003 is free; \nquot(s(T230), T231, s(s(s(s(s(T231))))), T176) !=? quot(X735, 0, X736, X737)", fontsize=16, style=filled, fillcolor=lightyellow];
675 [label="675: ','(p(T231, X1003), quot(T230, X1003, s(s(s(s(s(T231))))), T233)), SCOPE: 150, CLAUSE: 5\n\nT230 is ground\nT231 is ground\nX735 is free; \nX736 is free; \nX737 is free; \nX1003 is free; \nquot(s(T230), T231, s(s(s(s(s(T231))))), T176) !=? quot(X735, 0, X736, X737)\np(T231, X1003) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
676 [label="676: quot(T230, T234, s(s(s(s(s(s(T234)))))), T233)\n\nT230 is ground\nT234 is ground\nX735 is free; \nX736 is free; \nX737 is free; \nX1003 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
677 [label="677: \n\nX735 is free\nX736 is free; \nX737 is free; \nX1003 is free; \nX1005 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
678 [label="678: quot(T230, T234, s(s(s(s(s(s(T234)))))), T233), SCOPE: 151, CLAUSE: 1 | quot(T230, T234, s(s(s(s(s(s(T234)))))), T233), SCOPE: 151, CLAUSE: 2 | quot(T230, T234, s(s(s(s(s(s(T234)))))), T233), SCOPE: 151, CLAUSE: 3 | ?_151\n\nT230 is ground\nT234 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
679 [label="679: ','(!_151, eq(T237, 0)) | quot(0, s(T235), s(s(s(s(s(s(s(T235))))))), T233), SCOPE: 151, CLAUSE: 2 | quot(0, s(T235), s(s(s(s(s(s(s(T235))))))), T233), SCOPE: 151, CLAUSE: 3 | ?_151\n\nT235 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
680 [label="680: quot(T230, T234, s(s(s(s(s(s(T234)))))), T233), SCOPE: 151, CLAUSE: 2 | quot(T230, T234, s(s(s(s(s(s(T234)))))), T233), SCOPE: 151, CLAUSE: 3 | ?_151\n\nT230 is ground\nT234 is ground\nX1009 is free; \nX1010 is free; \nX1011 is free; \nquot(T230, T234, s(s(s(s(s(s(T234)))))), T233) !=? quot(0, s(X1009), s(X1010), X1011)", fontsize=16, style=filled, fillcolor=lightyellow];
681 [label="681: eq(T237, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
682 [label="682: eq(T237, 0), SCOPE: 152, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
683 [label="683: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
684 [label="684: \n\nX1013 is free", fontsize=16, style=filled, fillcolor=lightyellow];
685 [label="685: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
686 [label="686: ','(!_151, ','(eq(s(s(s(s(s(s(0)))))), s(X1020)), ','(p(T241, X1021), quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1021)))) | quot(T239, 0, s(s(s(s(s(s(0)))))), T233), SCOPE: 151, CLAUSE: 3 | ?_151\n\nT239 is ground\nX1009 is free; \nX1010 is free; \nX1011 is free; \nX1020 is free; \nX1021 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
687 [label="687: quot(T230, T234, s(s(s(s(s(s(T234)))))), T233), SCOPE: 151, CLAUSE: 3\n\nT230 is ground\nT234 is ground\nX1009 is free; \nX1010 is free; \nX1011 is free; \nX1017 is free; \nX1018 is free; \nX1019 is free; \nquot(T230, T234, s(s(s(s(s(s(T234)))))), T233) !=? quot(0, s(X1009), s(X1010), X1011)\nquot(T230, T234, s(s(s(s(s(s(T234)))))), T233) !=? quot(X1017, 0, X1018, X1019)", fontsize=16, style=filled, fillcolor=lightyellow];
688 [label="688: ','(eq(s(s(s(s(s(s(0)))))), s(X1020)), ','(p(T241, X1021), quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1021)))\n\nT239 is ground\nX1020 is free; \nX1021 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
689 [label="689: ','(eq(s(s(s(s(s(s(0)))))), s(X1020)), ','(p(T241, X1021), quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1021))), SCOPE: 153, CLAUSE: 6\n\nT239 is ground\nX1020 is free; \nX1021 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
690 [label="690: ','(p(T241, X1021), quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1021))\n\nT239 is ground\nX1021 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
691 [label="691: ','(p(T241, X1021), quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1021)), SCOPE: 154, CLAUSE: 4 | ','(p(T241, X1021), quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1021)), SCOPE: 154, CLAUSE: 5\n\nT239 is ground\nX1021 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
692 [label="692: quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) | ','(p(T241, X1021), quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1021)), SCOPE: 154, CLAUSE: 5\n\nT239 is ground\nX1021 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
693 [label="693: ','(p(T241, X1021), quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1021)), SCOPE: 154, CLAUSE: 5\n\nT239 is ground\nX1021 is free; \np(T241, X1021) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
694 [label="694: quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)\n\nT239 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
695 [label="695: ','(p(T241, X1021), quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1021)), SCOPE: 154, CLAUSE: 5\n\nT239 is ground\nX1021 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
696 [label="696: quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 155, CLAUSE: 1 | quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 155, CLAUSE: 2 | quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 155, CLAUSE: 3 | ?_155\n\nT239 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
697 [label="697: ','(!_155, eq(0, 0)) | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 155, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 155, CLAUSE: 3 | ?_155\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
698 [label="698: quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 155, CLAUSE: 2 | quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 155, CLAUSE: 3 | ?_155\n\nT239 is ground\nX1027 is free; \nX1028 is free; \nX1029 is free; \nquot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1027), s(X1028), X1029)", fontsize=16, style=filled, fillcolor=lightyellow];
699 [label="699: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
700 [label="700: eq(0, 0), SCOPE: 156, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
701 [label="701: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
702 [label="702: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
703 [label="703: quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 155, CLAUSE: 3\n\nT239 is ground\nX1027 is free; \nX1028 is free; \nX1029 is free; \nquot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1027), s(X1028), X1029)", fontsize=16, style=filled, fillcolor=lightyellow];
704 [label="704: ','(p(s(s(s(s(s(s(0)))))), X1043), quot(T242, X1043, s(s(s(s(s(s(0)))))), 0))\n\nT242 is ground\nX1027 is free; \nX1028 is free; \nX1029 is free; \nX1043 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
705 [label="705: \n\nX1027 is free\nX1028 is free; \nX1029 is free; \nX1039 is free; \nX1040 is free; \nX1041 is free; \nX1042 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
706 [label="706: ','(p(s(s(s(s(s(s(0)))))), X1043), quot(T242, X1043, s(s(s(s(s(s(0)))))), 0)), SCOPE: 157, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X1043), quot(T242, X1043, s(s(s(s(s(s(0)))))), 0)), SCOPE: 157, CLAUSE: 5\n\nT242 is ground\nX1043 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
707 [label="707: ','(p(s(s(s(s(s(s(0)))))), X1043), quot(T242, X1043, s(s(s(s(s(s(0)))))), 0)), SCOPE: 157, CLAUSE: 5\n\nT242 is ground\nX1043 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
708 [label="708: quot(T242, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0)\n\nT242 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
709 [label="709: quot(T242, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 158, CLAUSE: 1 | quot(T242, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 158, CLAUSE: 2 | quot(T242, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 158, CLAUSE: 3 | ?_158\n\nT242 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
710 [label="710: ','(!_158, eq(0, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 158, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 158, CLAUSE: 3 | ?_158\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
711 [label="711: quot(T242, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 158, CLAUSE: 2 | quot(T242, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 158, CLAUSE: 3 | ?_158\n\nT242 is ground\nX1049 is free; \nX1050 is free; \nX1051 is free; \nquot(T242, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1049), s(X1050), X1051)", fontsize=16, style=filled, fillcolor=lightyellow];
712 [label="712: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
713 [label="713: eq(0, 0), SCOPE: 159, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
714 [label="714: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
715 [label="715: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
716 [label="716: quot(T242, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 158, CLAUSE: 3\n\nT242 is ground\nX1049 is free; \nX1050 is free; \nX1051 is free; \nquot(T242, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1049), s(X1050), X1051)", fontsize=16, style=filled, fillcolor=lightyellow];
717 [label="717: ','(p(s(s(s(s(s(0))))), X1065), quot(T243, X1065, s(s(s(s(s(s(0)))))), 0))\n\nT243 is ground\nX1049 is free; \nX1050 is free; \nX1051 is free; \nX1065 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
718 [label="718: \n\nX1049 is free\nX1050 is free; \nX1051 is free; \nX1061 is free; \nX1062 is free; \nX1063 is free; \nX1064 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
719 [label="719: ','(p(s(s(s(s(s(0))))), X1065), quot(T243, X1065, s(s(s(s(s(s(0)))))), 0)), SCOPE: 160, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X1065), quot(T243, X1065, s(s(s(s(s(s(0)))))), 0)), SCOPE: 160, CLAUSE: 5\n\nT243 is ground\nX1065 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
720 [label="720: ','(p(s(s(s(s(s(0))))), X1065), quot(T243, X1065, s(s(s(s(s(s(0)))))), 0)), SCOPE: 160, CLAUSE: 5\n\nT243 is ground\nX1065 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
721 [label="721: quot(T243, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0)\n\nT243 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
722 [label="722: quot(T243, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 161, CLAUSE: 1 | quot(T243, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 161, CLAUSE: 2 | quot(T243, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 161, CLAUSE: 3 | ?_161\n\nT243 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
723 [label="723: ','(!_161, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 161, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 161, CLAUSE: 3 | ?_161\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
724 [label="724: quot(T243, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 161, CLAUSE: 2 | quot(T243, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 161, CLAUSE: 3 | ?_161\n\nT243 is ground\nX1071 is free; \nX1072 is free; \nX1073 is free; \nquot(T243, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1071), s(X1072), X1073)", fontsize=16, style=filled, fillcolor=lightyellow];
725 [label="725: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
726 [label="726: eq(0, 0), SCOPE: 162, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
727 [label="727: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
728 [label="728: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
729 [label="729: quot(T243, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 161, CLAUSE: 3\n\nT243 is ground\nX1071 is free; \nX1072 is free; \nX1073 is free; \nquot(T243, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1071), s(X1072), X1073)", fontsize=16, style=filled, fillcolor=lightyellow];
730 [label="730: ','(p(s(s(s(s(0)))), X1087), quot(T244, X1087, s(s(s(s(s(s(0)))))), 0))\n\nT244 is ground\nX1071 is free; \nX1072 is free; \nX1073 is free; \nX1087 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
731 [label="731: \n\nX1071 is free\nX1072 is free; \nX1073 is free; \nX1083 is free; \nX1084 is free; \nX1085 is free; \nX1086 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
732 [label="732: ','(p(s(s(s(s(0)))), X1087), quot(T244, X1087, s(s(s(s(s(s(0)))))), 0)), SCOPE: 163, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X1087), quot(T244, X1087, s(s(s(s(s(s(0)))))), 0)), SCOPE: 163, CLAUSE: 5\n\nT244 is ground\nX1087 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
733 [label="733: ','(p(s(s(s(s(0)))), X1087), quot(T244, X1087, s(s(s(s(s(s(0)))))), 0)), SCOPE: 163, CLAUSE: 5\n\nT244 is ground\nX1087 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
734 [label="734: quot(T244, s(s(s(0))), s(s(s(s(s(s(0)))))), 0)\n\nT244 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
735 [label="735: quot(T244, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 164, CLAUSE: 1 | quot(T244, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 164, CLAUSE: 2 | quot(T244, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 164, CLAUSE: 3 | ?_164\n\nT244 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
736 [label="736: ','(!_164, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 164, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 164, CLAUSE: 3 | ?_164\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
737 [label="737: quot(T244, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 164, CLAUSE: 2 | quot(T244, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 164, CLAUSE: 3 | ?_164\n\nT244 is ground\nX1093 is free; \nX1094 is free; \nX1095 is free; \nquot(T244, s(s(s(0))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1093), s(X1094), X1095)", fontsize=16, style=filled, fillcolor=lightyellow];
738 [label="738: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
739 [label="739: eq(0, 0), SCOPE: 165, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
740 [label="740: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
741 [label="741: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
742 [label="742: quot(T244, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 164, CLAUSE: 3\n\nT244 is ground\nX1093 is free; \nX1094 is free; \nX1095 is free; \nquot(T244, s(s(s(0))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1093), s(X1094), X1095)", fontsize=16, style=filled, fillcolor=lightyellow];
743 [label="743: ','(p(s(s(s(0))), X1109), quot(T245, X1109, s(s(s(s(s(s(0)))))), 0))\n\nT245 is ground\nX1093 is free; \nX1094 is free; \nX1095 is free; \nX1109 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
744 [label="744: \n\nX1093 is free\nX1094 is free; \nX1095 is free; \nX1105 is free; \nX1106 is free; \nX1107 is free; \nX1108 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
745 [label="745: ','(p(s(s(s(0))), X1109), quot(T245, X1109, s(s(s(s(s(s(0)))))), 0)), SCOPE: 166, CLAUSE: 4 | ','(p(s(s(s(0))), X1109), quot(T245, X1109, s(s(s(s(s(s(0)))))), 0)), SCOPE: 166, CLAUSE: 5\n\nT245 is ground\nX1109 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
746 [label="746: ','(p(s(s(s(0))), X1109), quot(T245, X1109, s(s(s(s(s(s(0)))))), 0)), SCOPE: 166, CLAUSE: 5\n\nT245 is ground\nX1109 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
747 [label="747: quot(T245, s(s(0)), s(s(s(s(s(s(0)))))), 0)\n\nT245 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
748 [label="748: quot(T245, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 167, CLAUSE: 1 | quot(T245, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 167, CLAUSE: 2 | quot(T245, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 167, CLAUSE: 3 | ?_167\n\nT245 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
749 [label="749: ','(!_167, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 167, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 167, CLAUSE: 3 | ?_167\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
750 [label="750: quot(T245, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 167, CLAUSE: 2 | quot(T245, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 167, CLAUSE: 3 | ?_167\n\nT245 is ground\nX1115 is free; \nX1116 is free; \nX1117 is free; \nquot(T245, s(s(0)), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1115), s(X1116), X1117)", fontsize=16, style=filled, fillcolor=lightyellow];
751 [label="751: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
752 [label="752: eq(0, 0), SCOPE: 168, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
753 [label="753: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
754 [label="754: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
755 [label="755: quot(T245, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 167, CLAUSE: 3\n\nT245 is ground\nX1115 is free; \nX1116 is free; \nX1117 is free; \nquot(T245, s(s(0)), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1115), s(X1116), X1117)", fontsize=16, style=filled, fillcolor=lightyellow];
756 [label="756: ','(p(s(s(0)), X1131), quot(T246, X1131, s(s(s(s(s(s(0)))))), 0))\n\nT246 is ground\nX1115 is free; \nX1116 is free; \nX1117 is free; \nX1131 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
757 [label="757: \n\nX1115 is free\nX1116 is free; \nX1117 is free; \nX1127 is free; \nX1128 is free; \nX1129 is free; \nX1130 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
758 [label="758: ','(p(s(s(0)), X1131), quot(T246, X1131, s(s(s(s(s(s(0)))))), 0)), SCOPE: 169, CLAUSE: 4 | ','(p(s(s(0)), X1131), quot(T246, X1131, s(s(s(s(s(s(0)))))), 0)), SCOPE: 169, CLAUSE: 5\n\nT246 is ground\nX1131 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
759 [label="759: ','(p(s(s(0)), X1131), quot(T246, X1131, s(s(s(s(s(s(0)))))), 0)), SCOPE: 169, CLAUSE: 5\n\nT246 is ground\nX1131 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
760 [label="760: quot(T246, s(0), s(s(s(s(s(s(0)))))), 0)\n\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
761 [label="761: quot(T246, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 170, CLAUSE: 1 | quot(T246, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 170, CLAUSE: 2 | quot(T246, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 170, CLAUSE: 3 | ?_170\n\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
762 [label="762: ','(!_170, eq(0, 0)) | quot(0, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 170, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 170, CLAUSE: 3 | ?_170\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
763 [label="763: quot(T246, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 170, CLAUSE: 2 | quot(T246, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 170, CLAUSE: 3 | ?_170\n\nT246 is ground\nX1137 is free; \nX1138 is free; \nX1139 is free; \nquot(T246, s(0), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1137), s(X1138), X1139)", fontsize=16, style=filled, fillcolor=lightyellow];
764 [label="764: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
765 [label="765: eq(0, 0), SCOPE: 171, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
766 [label="766: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
767 [label="767: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
768 [label="768: quot(T246, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 170, CLAUSE: 3\n\nT246 is ground\nX1137 is free; \nX1138 is free; \nX1139 is free; \nquot(T246, s(0), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X1137), s(X1138), X1139)", fontsize=16, style=filled, fillcolor=lightyellow];
769 [label="769: ','(p(s(0), X1153), quot(T247, X1153, s(s(s(s(s(s(0)))))), 0))\n\nT247 is ground\nX1137 is free; \nX1138 is free; \nX1139 is free; \nX1153 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
770 [label="770: \n\nX1137 is free\nX1138 is free; \nX1139 is free; \nX1149 is free; \nX1150 is free; \nX1151 is free; \nX1152 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
771 [label="771: ','(p(s(0), X1153), quot(T247, X1153, s(s(s(s(s(s(0)))))), 0)), SCOPE: 172, CLAUSE: 4 | ','(p(s(0), X1153), quot(T247, X1153, s(s(s(s(s(s(0)))))), 0)), SCOPE: 172, CLAUSE: 5\n\nT247 is ground\nX1153 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
772 [label="772: ','(p(s(0), X1153), quot(T247, X1153, s(s(s(s(s(s(0)))))), 0)), SCOPE: 172, CLAUSE: 5\n\nT247 is ground\nX1153 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
773 [label="773: quot(T247, 0, s(s(s(s(s(s(0)))))), 0)\n\nT247 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
774 [label="774: quot(T247, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 173, CLAUSE: 1 | quot(T247, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 173, CLAUSE: 2 | quot(T247, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 173, CLAUSE: 3 | ?_173\n\nT247 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
775 [label="775: quot(T247, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 173, CLAUSE: 2 | quot(T247, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 173, CLAUSE: 3 | ?_173\n\nT247 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
776 [label="776: ','(!_173, ','(eq(s(s(s(s(s(s(0)))))), s(X1165)), ','(p(0, X1166), quot(T248, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1166)))) | quot(T248, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 173, CLAUSE: 3 | ?_173\n\nT248 is ground\nX1165 is free; \nX1166 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
777 [label="777: ','(eq(s(s(s(s(s(s(0)))))), s(X1165)), ','(p(0, X1166), quot(T248, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1166)))\n\nT248 is ground\nX1165 is free; \nX1166 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
778 [label="778: ','(eq(s(s(s(s(s(s(0)))))), s(X1165)), ','(p(0, X1166), quot(T248, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1166))), SCOPE: 174, CLAUSE: 6\n\nT248 is ground\nX1165 is free; \nX1166 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
779 [label="779: ','(p(0, X1166), quot(T248, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1166))\n\nT248 is ground\nX1166 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
780 [label="780: ','(p(0, X1166), quot(T248, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1166)), SCOPE: 175, CLAUSE: 4 | ','(p(0, X1166), quot(T248, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1166)), SCOPE: 175, CLAUSE: 5\n\nT248 is ground\nX1166 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
781 [label="781: quot(T248, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) | ','(p(0, X1166), quot(T248, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1166)), SCOPE: 175, CLAUSE: 5\n\nT248 is ground\nX1166 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
782 [label="782: quot(T248, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)\n\nT248 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
783 [label="783: ','(p(0, X1166), quot(T248, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1166)), SCOPE: 175, CLAUSE: 5\n\nT248 is ground\nX1166 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
784 [label="784: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
785 [label="785: quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250)\n\nT239 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
786 [label="786: \n\nX1021 is free\nX1171 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
787 [label="787: quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250), SCOPE: 176, CLAUSE: 1 | quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250), SCOPE: 176, CLAUSE: 2 | quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250), SCOPE: 176, CLAUSE: 3 | ?_176\n\nT239 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
788 [label="788: ','(!_176, eq(T252, 0)) | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250), SCOPE: 176, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250), SCOPE: 176, CLAUSE: 3 | ?_176\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
789 [label="789: quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250), SCOPE: 176, CLAUSE: 2 | quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250), SCOPE: 176, CLAUSE: 3 | ?_176\n\nT239 is ground\nX1175 is free; \nX1176 is free; \nX1177 is free; \nquot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250) !=? quot(0, s(X1175), s(X1176), X1177)", fontsize=16, style=filled, fillcolor=lightyellow];
790 [label="790: eq(T252, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
791 [label="791: eq(T252, 0), SCOPE: 177, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
792 [label="792: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
793 [label="793: \n\nX1179 is free", fontsize=16, style=filled, fillcolor=lightyellow];
794 [label="794: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
795 [label="795: quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250), SCOPE: 176, CLAUSE: 3\n\nT239 is ground\nX1175 is free; \nX1176 is free; \nX1177 is free; \nquot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T250) !=? quot(0, s(X1175), s(X1176), X1177)", fontsize=16, style=filled, fillcolor=lightyellow];
796 [label="796: ','(p(s(s(s(s(s(s(0)))))), X1191), quot(T254, X1191, s(s(s(s(s(s(0)))))), T256))\n\nT254 is ground\nX1175 is free; \nX1176 is free; \nX1177 is free; \nX1191 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
797 [label="797: \n\nX1175 is free\nX1176 is free; \nX1177 is free; \nX1187 is free; \nX1188 is free; \nX1189 is free; \nX1190 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
798 [label="798: ','(p(s(s(s(s(s(s(0)))))), X1191), quot(T254, X1191, s(s(s(s(s(s(0)))))), T256)), SCOPE: 178, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X1191), quot(T254, X1191, s(s(s(s(s(s(0)))))), T256)), SCOPE: 178, CLAUSE: 5\n\nT254 is ground\nX1191 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
799 [label="799: ','(p(s(s(s(s(s(s(0)))))), X1191), quot(T254, X1191, s(s(s(s(s(s(0)))))), T256)), SCOPE: 178, CLAUSE: 5\n\nT254 is ground\nX1191 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
800 [label="800: quot(T254, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256)\n\nT254 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
801 [label="801: quot(T254, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256), SCOPE: 179, CLAUSE: 1 | quot(T254, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256), SCOPE: 179, CLAUSE: 2 | quot(T254, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256), SCOPE: 179, CLAUSE: 3 | ?_179\n\nT254 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
802 [label="802: ','(!_179, eq(T258, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256), SCOPE: 179, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256), SCOPE: 179, CLAUSE: 3 | ?_179\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
803 [label="803: quot(T254, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256), SCOPE: 179, CLAUSE: 2 | quot(T254, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256), SCOPE: 179, CLAUSE: 3 | ?_179\n\nT254 is ground\nX1197 is free; \nX1198 is free; \nX1199 is free; \nquot(T254, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256) !=? quot(0, s(X1197), s(X1198), X1199)", fontsize=16, style=filled, fillcolor=lightyellow];
804 [label="804: eq(T258, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
805 [label="805: eq(T258, 0), SCOPE: 180, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
806 [label="806: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
807 [label="807: \n\nX1201 is free", fontsize=16, style=filled, fillcolor=lightyellow];
808 [label="808: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
809 [label="809: quot(T254, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256), SCOPE: 179, CLAUSE: 3\n\nT254 is ground\nX1197 is free; \nX1198 is free; \nX1199 is free; \nquot(T254, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T256) !=? quot(0, s(X1197), s(X1198), X1199)", fontsize=16, style=filled, fillcolor=lightyellow];
810 [label="810: ','(p(s(s(s(s(s(0))))), X1213), quot(T260, X1213, s(s(s(s(s(s(0)))))), T262))\n\nT260 is ground\nX1197 is free; \nX1198 is free; \nX1199 is free; \nX1213 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
811 [label="811: \n\nX1197 is free\nX1198 is free; \nX1199 is free; \nX1209 is free; \nX1210 is free; \nX1211 is free; \nX1212 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
812 [label="812: ','(p(s(s(s(s(s(0))))), X1213), quot(T260, X1213, s(s(s(s(s(s(0)))))), T262)), SCOPE: 181, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X1213), quot(T260, X1213, s(s(s(s(s(s(0)))))), T262)), SCOPE: 181, CLAUSE: 5\n\nT260 is ground\nX1213 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
813 [label="813: ','(p(s(s(s(s(s(0))))), X1213), quot(T260, X1213, s(s(s(s(s(s(0)))))), T262)), SCOPE: 181, CLAUSE: 5\n\nT260 is ground\nX1213 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
814 [label="814: quot(T260, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262)\n\nT260 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
815 [label="815: quot(T260, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262), SCOPE: 182, CLAUSE: 1 | quot(T260, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262), SCOPE: 182, CLAUSE: 2 | quot(T260, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262), SCOPE: 182, CLAUSE: 3 | ?_182\n\nT260 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
816 [label="816: ','(!_182, eq(T264, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262), SCOPE: 182, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262), SCOPE: 182, CLAUSE: 3 | ?_182\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
817 [label="817: quot(T260, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262), SCOPE: 182, CLAUSE: 2 | quot(T260, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262), SCOPE: 182, CLAUSE: 3 | ?_182\n\nT260 is ground\nX1219 is free; \nX1220 is free; \nX1221 is free; \nquot(T260, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262) !=? quot(0, s(X1219), s(X1220), X1221)", fontsize=16, style=filled, fillcolor=lightyellow];
818 [label="818: eq(T264, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
819 [label="819: eq(T264, 0), SCOPE: 183, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
820 [label="820: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
821 [label="821: \n\nX1223 is free", fontsize=16, style=filled, fillcolor=lightyellow];
822 [label="822: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
823 [label="823: quot(T260, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262), SCOPE: 182, CLAUSE: 3\n\nT260 is ground\nX1219 is free; \nX1220 is free; \nX1221 is free; \nquot(T260, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T262) !=? quot(0, s(X1219), s(X1220), X1221)", fontsize=16, style=filled, fillcolor=lightyellow];
824 [label="824: ','(p(s(s(s(s(0)))), X1235), quot(T266, X1235, s(s(s(s(s(s(0)))))), T268))\n\nT266 is ground\nX1219 is free; \nX1220 is free; \nX1221 is free; \nX1235 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
825 [label="825: \n\nX1219 is free\nX1220 is free; \nX1221 is free; \nX1231 is free; \nX1232 is free; \nX1233 is free; \nX1234 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
826 [label="826: ','(p(s(s(s(s(0)))), X1235), quot(T266, X1235, s(s(s(s(s(s(0)))))), T268)), SCOPE: 184, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X1235), quot(T266, X1235, s(s(s(s(s(s(0)))))), T268)), SCOPE: 184, CLAUSE: 5\n\nT266 is ground\nX1235 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
827 [label="827: ','(p(s(s(s(s(0)))), X1235), quot(T266, X1235, s(s(s(s(s(s(0)))))), T268)), SCOPE: 184, CLAUSE: 5\n\nT266 is ground\nX1235 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
828 [label="828: quot(T266, s(s(s(0))), s(s(s(s(s(s(0)))))), T268)\n\nT266 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
829 [label="829: quot(T266, s(s(s(0))), s(s(s(s(s(s(0)))))), T268), SCOPE: 185, CLAUSE: 1 | quot(T266, s(s(s(0))), s(s(s(s(s(s(0)))))), T268), SCOPE: 185, CLAUSE: 2 | quot(T266, s(s(s(0))), s(s(s(s(s(s(0)))))), T268), SCOPE: 185, CLAUSE: 3 | ?_185\n\nT266 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
830 [label="830: ','(!_185, eq(T270, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), T268), SCOPE: 185, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), T268), SCOPE: 185, CLAUSE: 3 | ?_185\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
831 [label="831: quot(T266, s(s(s(0))), s(s(s(s(s(s(0)))))), T268), SCOPE: 185, CLAUSE: 2 | quot(T266, s(s(s(0))), s(s(s(s(s(s(0)))))), T268), SCOPE: 185, CLAUSE: 3 | ?_185\n\nT266 is ground\nX1241 is free; \nX1242 is free; \nX1243 is free; \nquot(T266, s(s(s(0))), s(s(s(s(s(s(0)))))), T268) !=? quot(0, s(X1241), s(X1242), X1243)", fontsize=16, style=filled, fillcolor=lightyellow];
832 [label="832: eq(T270, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
833 [label="833: eq(T270, 0), SCOPE: 186, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
834 [label="834: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
835 [label="835: \n\nX1245 is free", fontsize=16, style=filled, fillcolor=lightyellow];
836 [label="836: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
837 [label="837: quot(T266, s(s(s(0))), s(s(s(s(s(s(0)))))), T268), SCOPE: 185, CLAUSE: 3\n\nT266 is ground\nX1241 is free; \nX1242 is free; \nX1243 is free; \nquot(T266, s(s(s(0))), s(s(s(s(s(s(0)))))), T268) !=? quot(0, s(X1241), s(X1242), X1243)", fontsize=16, style=filled, fillcolor=lightyellow];
838 [label="838: ','(p(s(s(s(0))), X1257), quot(T272, X1257, s(s(s(s(s(s(0)))))), T274))\n\nT272 is ground\nX1241 is free; \nX1242 is free; \nX1243 is free; \nX1257 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
839 [label="839: \n\nX1241 is free\nX1242 is free; \nX1243 is free; \nX1253 is free; \nX1254 is free; \nX1255 is free; \nX1256 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
840 [label="840: ','(p(s(s(s(0))), X1257), quot(T272, X1257, s(s(s(s(s(s(0)))))), T274)), SCOPE: 187, CLAUSE: 4 | ','(p(s(s(s(0))), X1257), quot(T272, X1257, s(s(s(s(s(s(0)))))), T274)), SCOPE: 187, CLAUSE: 5\n\nT272 is ground\nX1257 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
841 [label="841: ','(p(s(s(s(0))), X1257), quot(T272, X1257, s(s(s(s(s(s(0)))))), T274)), SCOPE: 187, CLAUSE: 5\n\nT272 is ground\nX1257 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
842 [label="842: quot(T272, s(s(0)), s(s(s(s(s(s(0)))))), T274)\n\nT272 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
843 [label="843: quot(T272, s(s(0)), s(s(s(s(s(s(0)))))), T274), SCOPE: 188, CLAUSE: 1 | quot(T272, s(s(0)), s(s(s(s(s(s(0)))))), T274), SCOPE: 188, CLAUSE: 2 | quot(T272, s(s(0)), s(s(s(s(s(s(0)))))), T274), SCOPE: 188, CLAUSE: 3 | ?_188\n\nT272 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
844 [label="844: ','(!_188, eq(T276, 0)) | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), T274), SCOPE: 188, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), T274), SCOPE: 188, CLAUSE: 3 | ?_188\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
845 [label="845: quot(T272, s(s(0)), s(s(s(s(s(s(0)))))), T274), SCOPE: 188, CLAUSE: 2 | quot(T272, s(s(0)), s(s(s(s(s(s(0)))))), T274), SCOPE: 188, CLAUSE: 3 | ?_188\n\nT272 is ground\nX1263 is free; \nX1264 is free; \nX1265 is free; \nquot(T272, s(s(0)), s(s(s(s(s(s(0)))))), T274) !=? quot(0, s(X1263), s(X1264), X1265)", fontsize=16, style=filled, fillcolor=lightyellow];
846 [label="846: eq(T276, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
847 [label="847: eq(T276, 0), SCOPE: 189, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
848 [label="848: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
849 [label="849: \n\nX1267 is free", fontsize=16, style=filled, fillcolor=lightyellow];
850 [label="850: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
851 [label="851: quot(T272, s(s(0)), s(s(s(s(s(s(0)))))), T274), SCOPE: 188, CLAUSE: 3\n\nT272 is ground\nX1263 is free; \nX1264 is free; \nX1265 is free; \nquot(T272, s(s(0)), s(s(s(s(s(s(0)))))), T274) !=? quot(0, s(X1263), s(X1264), X1265)", fontsize=16, style=filled, fillcolor=lightyellow];
852 [label="852: ','(p(s(s(0)), X1279), quot(T278, X1279, s(s(s(s(s(s(0)))))), T280))\n\nT278 is ground\nX1263 is free; \nX1264 is free; \nX1265 is free; \nX1279 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
853 [label="853: \n\nX1263 is free\nX1264 is free; \nX1265 is free; \nX1275 is free; \nX1276 is free; \nX1277 is free; \nX1278 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
854 [label="854: ','(p(s(s(0)), X1279), quot(T278, X1279, s(s(s(s(s(s(0)))))), T280)), SCOPE: 190, CLAUSE: 4 | ','(p(s(s(0)), X1279), quot(T278, X1279, s(s(s(s(s(s(0)))))), T280)), SCOPE: 190, CLAUSE: 5\n\nT278 is ground\nX1279 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
855 [label="855: ','(p(s(s(0)), X1279), quot(T278, X1279, s(s(s(s(s(s(0)))))), T280)), SCOPE: 190, CLAUSE: 5\n\nT278 is ground\nX1279 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
856 [label="856: quot(T278, s(0), s(s(s(s(s(s(0)))))), T280)\n\nT278 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
857 [label="857: quot(T278, s(0), s(s(s(s(s(s(0)))))), T280), SCOPE: 191, CLAUSE: 1 | quot(T278, s(0), s(s(s(s(s(s(0)))))), T280), SCOPE: 191, CLAUSE: 2 | quot(T278, s(0), s(s(s(s(s(s(0)))))), T280), SCOPE: 191, CLAUSE: 3 | ?_191\n\nT278 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
858 [label="858: ','(!_191, eq(T282, 0)) | quot(0, s(0), s(s(s(s(s(s(0)))))), T280), SCOPE: 191, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(0)))))), T280), SCOPE: 191, CLAUSE: 3 | ?_191\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
859 [label="859: quot(T278, s(0), s(s(s(s(s(s(0)))))), T280), SCOPE: 191, CLAUSE: 2 | quot(T278, s(0), s(s(s(s(s(s(0)))))), T280), SCOPE: 191, CLAUSE: 3 | ?_191\n\nT278 is ground\nX1285 is free; \nX1286 is free; \nX1287 is free; \nquot(T278, s(0), s(s(s(s(s(s(0)))))), T280) !=? quot(0, s(X1285), s(X1286), X1287)", fontsize=16, style=filled, fillcolor=lightyellow];
860 [label="860: eq(T282, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
861 [label="861: eq(T282, 0), SCOPE: 192, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
862 [label="862: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
863 [label="863: \n\nX1289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
864 [label="864: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
865 [label="865: quot(T278, s(0), s(s(s(s(s(s(0)))))), T280), SCOPE: 191, CLAUSE: 3\n\nT278 is ground\nX1285 is free; \nX1286 is free; \nX1287 is free; \nquot(T278, s(0), s(s(s(s(s(s(0)))))), T280) !=? quot(0, s(X1285), s(X1286), X1287)", fontsize=16, style=filled, fillcolor=lightyellow];
866 [label="866: ','(p(s(0), X1301), quot(T284, X1301, s(s(s(s(s(s(0)))))), T286))\n\nT284 is ground\nX1285 is free; \nX1286 is free; \nX1287 is free; \nX1301 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
867 [label="867: \n\nX1285 is free\nX1286 is free; \nX1287 is free; \nX1297 is free; \nX1298 is free; \nX1299 is free; \nX1300 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
868 [label="868: ','(p(s(0), X1301), quot(T284, X1301, s(s(s(s(s(s(0)))))), T286)), SCOPE: 193, CLAUSE: 4 | ','(p(s(0), X1301), quot(T284, X1301, s(s(s(s(s(s(0)))))), T286)), SCOPE: 193, CLAUSE: 5\n\nT284 is ground\nX1301 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
869 [label="869: ','(p(s(0), X1301), quot(T284, X1301, s(s(s(s(s(s(0)))))), T286)), SCOPE: 193, CLAUSE: 5\n\nT284 is ground\nX1301 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
870 [label="870: quot(T284, 0, s(s(s(s(s(s(0)))))), T286)\n\nT284 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
871 [label="871: quot(T284, 0, s(s(s(s(s(s(0)))))), T286), SCOPE: 194, CLAUSE: 1 | quot(T284, 0, s(s(s(s(s(s(0)))))), T286), SCOPE: 194, CLAUSE: 2 | quot(T284, 0, s(s(s(s(s(s(0)))))), T286), SCOPE: 194, CLAUSE: 3 | ?_194\n\nT284 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
872 [label="872: quot(T284, 0, s(s(s(s(s(s(0)))))), T286), SCOPE: 194, CLAUSE: 2 | quot(T284, 0, s(s(s(s(s(s(0)))))), T286), SCOPE: 194, CLAUSE: 3 | ?_194\n\nT284 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
873 [label="873: ','(!_194, ','(eq(s(s(s(s(s(s(0)))))), s(X1313)), ','(p(T289, X1314), quot(T287, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1314)))) | quot(T287, 0, s(s(s(s(s(s(0)))))), T286), SCOPE: 194, CLAUSE: 3 | ?_194\n\nT287 is ground\nX1313 is free; \nX1314 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
874 [label="874: ','(eq(s(s(s(s(s(s(0)))))), s(X1313)), ','(p(T289, X1314), quot(T287, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1314)))\n\nT287 is ground\nX1313 is free; \nX1314 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
875 [label="875: ','(eq(s(s(s(s(s(s(0)))))), s(X1313)), ','(p(T289, X1314), quot(T287, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1314))), SCOPE: 195, CLAUSE: 6\n\nT287 is ground\nX1313 is free; \nX1314 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
876 [label="876: ','(p(T289, X1314), quot(T287, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1314))\n\nT287 is ground\nX1314 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
877 [label="877: ','(p(T289, X1314), quot(T287, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1314)), SCOPE: 196, CLAUSE: 4 | ','(p(T289, X1314), quot(T287, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1314)), SCOPE: 196, CLAUSE: 5\n\nT287 is ground\nX1314 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
878 [label="878: quot(T287, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) | ','(p(T289, X1314), quot(T287, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1314)), SCOPE: 196, CLAUSE: 5\n\nT287 is ground\nX1314 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
879 [label="879: ','(p(T289, X1314), quot(T287, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1314)), SCOPE: 196, CLAUSE: 5\n\nT287 is ground\nX1314 is free; \np(T289, X1314) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
880 [label="880: quot(T287, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T291)\n\nT287 is ground\nX1314 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
881 [label="881: \n\nX1314 is free\nX1318 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
882 [label="882: quot(T239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T293)\n\nT239 is ground\nX1021 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
883 [label="883: \n\nX1021 is free\nX1320 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
884 [label="884: ','(p(T295, X1329), quot(T294, X1329, s(s(s(s(s(s(T295)))))), T297))\n\nT294 is ground\nT295 is ground\nX1009 is free; \nX1010 is free; \nX1011 is free; \nX1017 is free; \nX1018 is free; \nX1019 is free; \nX1329 is free; \nquot(s(T294), T295, s(s(s(s(s(s(T295)))))), T233) !=? quot(X1017, 0, X1018, X1019)", fontsize=16, style=filled, fillcolor=lightyellow];
885 [label="885: \n\nX1009 is free\nX1010 is free; \nX1011 is free; \nX1017 is free; \nX1018 is free; \nX1019 is free; \nX1325 is free; \nX1326 is free; \nX1327 is free; \nX1328 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
886 [label="886: ','(p(T295, X1329), quot(T294, X1329, s(s(s(s(s(s(T295)))))), T297)), SCOPE: 197, CLAUSE: 4 | ','(p(T295, X1329), quot(T294, X1329, s(s(s(s(s(s(T295)))))), T297)), SCOPE: 197, CLAUSE: 5\n\nT294 is ground\nT295 is ground\nX1017 is free; \nX1018 is free; \nX1019 is free; \nX1329 is free; \nquot(s(T294), T295, s(s(s(s(s(s(T295)))))), T233) !=? quot(X1017, 0, X1018, X1019)", fontsize=16, style=filled, fillcolor=lightyellow];
887 [label="887: ','(p(T295, X1329), quot(T294, X1329, s(s(s(s(s(s(T295)))))), T297)), SCOPE: 197, CLAUSE: 5\n\nT294 is ground\nT295 is ground\nX1017 is free; \nX1018 is free; \nX1019 is free; \nX1329 is free; \nquot(s(T294), T295, s(s(s(s(s(s(T295)))))), T233) !=? quot(X1017, 0, X1018, X1019)\np(T295, X1329) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
888 [label="888: quot(T294, T298, s(s(s(s(s(s(s(T298))))))), T297)\n\nT294 is ground\nT298 is ground\nX1017 is free; \nX1018 is free; \nX1019 is free; \nX1329 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
889 [label="889: \n\nX1017 is free\nX1018 is free; \nX1019 is free; \nX1329 is free; \nX1331 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
890 [label="890: quot(T294, T298, s(T299), T297)\n\nT294 is ground\nT298 is ground\nT299 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
891 [label="891: quot(T294, T298, s(T299), T297), SCOPE: 198, CLAUSE: 1 | quot(T294, T298, s(T299), T297), SCOPE: 198, CLAUSE: 2 | quot(T294, T298, s(T299), T297), SCOPE: 198, CLAUSE: 3 | ?_198\n\nT294 is ground\nT298 is ground\nT299 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
892 [label="892: ','(!_198, eq(T303, 0)) | quot(0, s(T300), s(T301), T297), SCOPE: 198, CLAUSE: 2 | quot(0, s(T300), s(T301), T297), SCOPE: 198, CLAUSE: 3 | ?_198\n\nT300 is ground\nT301 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
893 [label="893: quot(T294, T298, s(T299), T297), SCOPE: 198, CLAUSE: 2 | quot(T294, T298, s(T299), T297), SCOPE: 198, CLAUSE: 3 | ?_198\n\nT294 is ground\nT298 is ground\nT299 is ground\nX1335 is free; \nX1336 is free; \nX1337 is free; \nquot(T294, T298, s(T299), T297) !=? quot(0, s(X1335), s(X1336), X1337)", fontsize=16, style=filled, fillcolor=lightyellow];
894 [label="894: eq(T303, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
895 [label="895: eq(T303, 0), SCOPE: 199, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
896 [label="896: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
897 [label="897: \n\nX1339 is free", fontsize=16, style=filled, fillcolor=lightyellow];
898 [label="898: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
899 [label="899: ','(!_198, ','(eq(s(T306), s(X1346)), ','(p(T308, X1347), quot(T305, s(T306), s(T306), X1347)))) | quot(T305, 0, s(T306), T297), SCOPE: 198, CLAUSE: 3 | ?_198\n\nT305 is ground\nT306 is ground\nX1335 is free; \nX1336 is free; \nX1337 is free; \nX1346 is free; \nX1347 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
900 [label="900: quot(T294, T298, s(T299), T297), SCOPE: 198, CLAUSE: 3\n\nT294 is ground\nT298 is ground\nT299 is ground\nX1335 is free; \nX1336 is free; \nX1337 is free; \nX1343 is free; \nX1344 is free; \nX1345 is free; \nquot(T294, T298, s(T299), T297) !=? quot(0, s(X1335), s(X1336), X1337)\nquot(T294, T298, s(T299), T297) !=? quot(X1343, 0, X1344, X1345)", fontsize=16, style=filled, fillcolor=lightyellow];
901 [label="901: ','(eq(s(T306), s(X1346)), ','(p(T308, X1347), quot(T305, s(T306), s(T306), X1347)))\n\nT305 is ground\nT306 is ground\nX1346 is free; \nX1347 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
902 [label="902: ','(eq(s(T306), s(X1346)), ','(p(T308, X1347), quot(T305, s(T306), s(T306), X1347))), SCOPE: 200, CLAUSE: 6\n\nT305 is ground\nT306 is ground\nX1346 is free; \nX1347 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
903 [label="903: ','(p(T308, X1347), quot(T305, s(T309), s(T309), X1347))\n\nT305 is ground\nT309 is ground\nX1347 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
904 [label="904: ','(p(T308, X1347), quot(T305, s(T309), s(T309), X1347)), SCOPE: 201, CLAUSE: 4 | ','(p(T308, X1347), quot(T305, s(T309), s(T309), X1347)), SCOPE: 201, CLAUSE: 5\n\nT305 is ground\nT309 is ground\nX1347 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
905 [label="905: quot(T305, s(T309), s(T309), 0) | ','(p(T308, X1347), quot(T305, s(T309), s(T309), X1347)), SCOPE: 201, CLAUSE: 5\n\nT305 is ground\nT309 is ground\nX1347 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
906 [label="906: ','(p(T308, X1347), quot(T305, s(T309), s(T309), X1347)), SCOPE: 201, CLAUSE: 5\n\nT305 is ground\nT309 is ground\nX1347 is free; \np(T308, X1347) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
907 [label="907: quot(T305, s(T309), s(T309), 0)\n\nT305 is ground\nT309 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
908 [label="908: ','(p(T308, X1347), quot(T305, s(T309), s(T309), X1347)), SCOPE: 201, CLAUSE: 5\n\nT305 is ground\nT309 is ground\nX1347 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
909 [label="909: quot(T305, s(T309), s(T309), 0), SCOPE: 202, CLAUSE: 1 | quot(T305, s(T309), s(T309), 0), SCOPE: 202, CLAUSE: 2 | quot(T305, s(T309), s(T309), 0), SCOPE: 202, CLAUSE: 3 | ?_202\n\nT305 is ground\nT309 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
910 [label="910: ','(!_202, eq(0, 0)) | quot(0, s(T310), s(T310), 0), SCOPE: 202, CLAUSE: 2 | quot(0, s(T310), s(T310), 0), SCOPE: 202, CLAUSE: 3 | ?_202\n\nT310 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
911 [label="911: quot(T305, s(T309), s(T309), 0), SCOPE: 202, CLAUSE: 2 | quot(T305, s(T309), s(T309), 0), SCOPE: 202, CLAUSE: 3 | ?_202\n\nT305 is ground\nT309 is ground\nX1353 is free; \nX1354 is free; \nX1355 is free; \nquot(T305, s(T309), s(T309), 0) !=? quot(0, s(X1353), s(X1354), X1355)", fontsize=16, style=filled, fillcolor=lightyellow];
912 [label="912: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
913 [label="913: eq(0, 0), SCOPE: 203, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
914 [label="914: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
915 [label="915: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
916 [label="916: quot(T305, s(T309), s(T309), 0), SCOPE: 202, CLAUSE: 3\n\nT305 is ground\nT309 is ground\nX1353 is free; \nX1354 is free; \nX1355 is free; \nquot(T305, s(T309), s(T309), 0) !=? quot(0, s(X1353), s(X1354), X1355)", fontsize=16, style=filled, fillcolor=lightyellow];
917 [label="917: ','(p(s(T312), X1369), quot(T311, X1369, s(T312), 0))\n\nT311 is ground\nT312 is ground\nX1353 is free; \nX1354 is free; \nX1355 is free; \nX1369 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
918 [label="918: \n\nX1353 is free\nX1354 is free; \nX1355 is free; \nX1365 is free; \nX1366 is free; \nX1367 is free; \nX1368 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
919 [label="919: ','(p(s(T312), X1369), quot(T311, X1369, s(T312), 0)), SCOPE: 204, CLAUSE: 4 | ','(p(s(T312), X1369), quot(T311, X1369, s(T312), 0)), SCOPE: 204, CLAUSE: 5\n\nT311 is ground\nT312 is ground\nX1369 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
920 [label="920: ','(p(s(T312), X1369), quot(T311, X1369, s(T312), 0)), SCOPE: 204, CLAUSE: 5\n\nT311 is ground\nT312 is ground\nX1369 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
921 [label="921: quot(T311, T313, s(T313), 0)\n\nT311 is ground\nT313 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
922 [label="922: quot(T311, T313, s(T313), 0), SCOPE: 205, CLAUSE: 1 | quot(T311, T313, s(T313), 0), SCOPE: 205, CLAUSE: 2 | quot(T311, T313, s(T313), 0), SCOPE: 205, CLAUSE: 3 | ?_205\n\nT311 is ground\nT313 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
923 [label="923: ','(!_205, eq(0, 0)) | quot(0, s(T314), s(s(T314)), 0), SCOPE: 205, CLAUSE: 2 | quot(0, s(T314), s(s(T314)), 0), SCOPE: 205, CLAUSE: 3 | ?_205\n\nT314 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
924 [label="924: quot(T311, T313, s(T313), 0), SCOPE: 205, CLAUSE: 2 | quot(T311, T313, s(T313), 0), SCOPE: 205, CLAUSE: 3 | ?_205\n\nT311 is ground\nT313 is ground\nX1375 is free; \nX1376 is free; \nX1377 is free; \nquot(T311, T313, s(T313), 0) !=? quot(0, s(X1375), s(X1376), X1377)", fontsize=16, style=filled, fillcolor=lightyellow];
925 [label="925: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
926 [label="926: eq(0, 0), SCOPE: 206, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
927 [label="927: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
928 [label="928: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
929 [label="929: ','(!_205, ','(eq(s(0), s(X1386)), ','(p(0, X1387), quot(T315, s(0), s(0), X1387)))) | quot(T315, 0, s(0), 0), SCOPE: 205, CLAUSE: 3 | ?_205\n\nT315 is ground\nX1375 is free; \nX1376 is free; \nX1377 is free; \nX1386 is free; \nX1387 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
930 [label="930: quot(T311, T313, s(T313), 0), SCOPE: 205, CLAUSE: 3\n\nT311 is ground\nT313 is ground\nX1375 is free; \nX1376 is free; \nX1377 is free; \nX1383 is free; \nX1384 is free; \nX1385 is free; \nquot(T311, T313, s(T313), 0) !=? quot(0, s(X1375), s(X1376), X1377)\nquot(T311, T313, s(T313), 0) !=? quot(X1383, 0, X1384, X1385)", fontsize=16, style=filled, fillcolor=lightyellow];
931 [label="931: ','(eq(s(0), s(X1386)), ','(p(0, X1387), quot(T315, s(0), s(0), X1387)))\n\nT315 is ground\nX1386 is free; \nX1387 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
932 [label="932: ','(eq(s(0), s(X1386)), ','(p(0, X1387), quot(T315, s(0), s(0), X1387))), SCOPE: 207, CLAUSE: 6\n\nT315 is ground\nX1386 is free; \nX1387 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
933 [label="933: ','(p(0, X1387), quot(T315, s(0), s(0), X1387))\n\nT315 is ground\nX1387 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
934 [label="934: ','(p(0, X1387), quot(T315, s(0), s(0), X1387)), SCOPE: 208, CLAUSE: 4 | ','(p(0, X1387), quot(T315, s(0), s(0), X1387)), SCOPE: 208, CLAUSE: 5\n\nT315 is ground\nX1387 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
935 [label="935: quot(T315, s(0), s(0), 0) | ','(p(0, X1387), quot(T315, s(0), s(0), X1387)), SCOPE: 208, CLAUSE: 5\n\nT315 is ground\nX1387 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
936 [label="936: ','(p(T317, X1398), quot(T316, X1398, s(T317), 0))\n\nT316 is ground\nT317 is ground\nX1375 is free; \nX1376 is free; \nX1377 is free; \nX1383 is free; \nX1384 is free; \nX1385 is free; \nX1398 is free; \nquot(s(T316), T317, s(T317), 0) !=? quot(X1383, 0, X1384, X1385)", fontsize=16, style=filled, fillcolor=lightyellow];
937 [label="937: \n\nX1375 is free\nX1376 is free; \nX1377 is free; \nX1383 is free; \nX1384 is free; \nX1385 is free; \nX1394 is free; \nX1395 is free; \nX1396 is free; \nX1397 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
938 [label="938: ','(p(T317, X1398), quot(T316, X1398, s(T317), 0)), SCOPE: 209, CLAUSE: 4 | ','(p(T317, X1398), quot(T316, X1398, s(T317), 0)), SCOPE: 209, CLAUSE: 5\n\nT316 is ground\nT317 is ground\nX1383 is free; \nX1384 is free; \nX1385 is free; \nX1398 is free; \nquot(s(T316), T317, s(T317), 0) !=? quot(X1383, 0, X1384, X1385)", fontsize=16, style=filled, fillcolor=lightyellow];
939 [label="939: ','(p(T317, X1398), quot(T316, X1398, s(T317), 0)), SCOPE: 209, CLAUSE: 5\n\nT316 is ground\nT317 is ground\nX1383 is free; \nX1384 is free; \nX1385 is free; \nX1398 is free; \nquot(s(T316), T317, s(T317), 0) !=? quot(X1383, 0, X1384, X1385)\np(T317, X1398) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
940 [label="940: quot(T316, T318, s(s(T318)), 0)\n\nT316 is ground\nT318 is ground\nX1383 is free; \nX1384 is free; \nX1385 is free; \nX1398 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
941 [label="941: \n\nX1383 is free\nX1384 is free; \nX1385 is free; \nX1398 is free; \nX1400 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
942 [label="942: quot(T316, T318, s(s(T318)), 0), SCOPE: 210, CLAUSE: 1 | quot(T316, T318, s(s(T318)), 0), SCOPE: 210, CLAUSE: 2 | quot(T316, T318, s(s(T318)), 0), SCOPE: 210, CLAUSE: 3 | ?_210\n\nT316 is ground\nT318 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
943 [label="943: ','(!_210, eq(0, 0)) | quot(0, s(T319), s(s(s(T319))), 0), SCOPE: 210, CLAUSE: 2 | quot(0, s(T319), s(s(s(T319))), 0), SCOPE: 210, CLAUSE: 3 | ?_210\n\nT319 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
944 [label="944: quot(T316, T318, s(s(T318)), 0), SCOPE: 210, CLAUSE: 2 | quot(T316, T318, s(s(T318)), 0), SCOPE: 210, CLAUSE: 3 | ?_210\n\nT316 is ground\nT318 is ground\nX1404 is free; \nX1405 is free; \nX1406 is free; \nquot(T316, T318, s(s(T318)), 0) !=? quot(0, s(X1404), s(X1405), X1406)", fontsize=16, style=filled, fillcolor=lightyellow];
945 [label="945: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
946 [label="946: eq(0, 0), SCOPE: 211, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
947 [label="947: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
948 [label="948: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
949 [label="949: ','(!_210, ','(eq(s(s(0)), s(X1415)), ','(p(0, X1416), quot(T320, s(s(0)), s(s(0)), X1416)))) | quot(T320, 0, s(s(0)), 0), SCOPE: 210, CLAUSE: 3 | ?_210\n\nT320 is ground\nX1404 is free; \nX1405 is free; \nX1406 is free; \nX1415 is free; \nX1416 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
950 [label="950: quot(T316, T318, s(s(T318)), 0), SCOPE: 210, CLAUSE: 3\n\nT316 is ground\nT318 is ground\nX1404 is free; \nX1405 is free; \nX1406 is free; \nX1412 is free; \nX1413 is free; \nX1414 is free; \nquot(T316, T318, s(s(T318)), 0) !=? quot(0, s(X1404), s(X1405), X1406)\nquot(T316, T318, s(s(T318)), 0) !=? quot(X1412, 0, X1413, X1414)", fontsize=16, style=filled, fillcolor=lightyellow];
951 [label="951: ','(eq(s(s(0)), s(X1415)), ','(p(0, X1416), quot(T320, s(s(0)), s(s(0)), X1416)))\n\nT320 is ground\nX1415 is free; \nX1416 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
952 [label="952: ','(eq(s(s(0)), s(X1415)), ','(p(0, X1416), quot(T320, s(s(0)), s(s(0)), X1416))), SCOPE: 212, CLAUSE: 6\n\nT320 is ground\nX1415 is free; \nX1416 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
953 [label="953: ','(p(0, X1416), quot(T320, s(s(0)), s(s(0)), X1416))\n\nT320 is ground\nX1416 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
954 [label="954: ','(p(0, X1416), quot(T320, s(s(0)), s(s(0)), X1416)), SCOPE: 213, CLAUSE: 4 | ','(p(0, X1416), quot(T320, s(s(0)), s(s(0)), X1416)), SCOPE: 213, CLAUSE: 5\n\nT320 is ground\nX1416 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
955 [label="955: quot(T320, s(s(0)), s(s(0)), 0) | ','(p(0, X1416), quot(T320, s(s(0)), s(s(0)), X1416)), SCOPE: 213, CLAUSE: 5\n\nT320 is ground\nX1416 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
956 [label="956: ','(p(T322, X1427), quot(T321, X1427, s(s(T322)), 0))\n\nT321 is ground\nT322 is ground\nX1404 is free; \nX1405 is free; \nX1406 is free; \nX1412 is free; \nX1413 is free; \nX1414 is free; \nX1427 is free; \nquot(s(T321), T322, s(s(T322)), 0) !=? quot(X1412, 0, X1413, X1414)", fontsize=16, style=filled, fillcolor=lightyellow];
957 [label="957: \n\nX1404 is free\nX1405 is free; \nX1406 is free; \nX1412 is free; \nX1413 is free; \nX1414 is free; \nX1423 is free; \nX1424 is free; \nX1425 is free; \nX1426 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
958 [label="958: ','(p(T322, X1427), quot(T321, X1427, s(s(T322)), 0)), SCOPE: 214, CLAUSE: 4 | ','(p(T322, X1427), quot(T321, X1427, s(s(T322)), 0)), SCOPE: 214, CLAUSE: 5\n\nT321 is ground\nT322 is ground\nX1412 is free; \nX1413 is free; \nX1414 is free; \nX1427 is free; \nquot(s(T321), T322, s(s(T322)), 0) !=? quot(X1412, 0, X1413, X1414)", fontsize=16, style=filled, fillcolor=lightyellow];
959 [label="959: ','(p(T322, X1427), quot(T321, X1427, s(s(T322)), 0)), SCOPE: 214, CLAUSE: 5\n\nT321 is ground\nT322 is ground\nX1412 is free; \nX1413 is free; \nX1414 is free; \nX1427 is free; \nquot(s(T321), T322, s(s(T322)), 0) !=? quot(X1412, 0, X1413, X1414)\np(T322, X1427) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
960 [label="960: quot(T321, T323, s(s(s(T323))), 0)\n\nT321 is ground\nT323 is ground\nX1412 is free; \nX1413 is free; \nX1414 is free; \nX1427 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
961 [label="961: \n\nX1412 is free\nX1413 is free; \nX1414 is free; \nX1427 is free; \nX1429 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
962 [label="962: quot(T321, T323, s(s(s(T323))), 0), SCOPE: 215, CLAUSE: 1 | quot(T321, T323, s(s(s(T323))), 0), SCOPE: 215, CLAUSE: 2 | quot(T321, T323, s(s(s(T323))), 0), SCOPE: 215, CLAUSE: 3 | ?_215\n\nT321 is ground\nT323 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
963 [label="963: ','(!_215, eq(0, 0)) | quot(0, s(T324), s(s(s(s(T324)))), 0), SCOPE: 215, CLAUSE: 2 | quot(0, s(T324), s(s(s(s(T324)))), 0), SCOPE: 215, CLAUSE: 3 | ?_215\n\nT324 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
964 [label="964: quot(T321, T323, s(s(s(T323))), 0), SCOPE: 215, CLAUSE: 2 | quot(T321, T323, s(s(s(T323))), 0), SCOPE: 215, CLAUSE: 3 | ?_215\n\nT321 is ground\nT323 is ground\nX1433 is free; \nX1434 is free; \nX1435 is free; \nquot(T321, T323, s(s(s(T323))), 0) !=? quot(0, s(X1433), s(X1434), X1435)", fontsize=16, style=filled, fillcolor=lightyellow];
965 [label="965: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
966 [label="966: eq(0, 0), SCOPE: 216, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
967 [label="967: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
968 [label="968: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
969 [label="969: ','(!_215, ','(eq(s(s(s(0))), s(X1444)), ','(p(0, X1445), quot(T325, s(s(s(0))), s(s(s(0))), X1445)))) | quot(T325, 0, s(s(s(0))), 0), SCOPE: 215, CLAUSE: 3 | ?_215\n\nT325 is ground\nX1433 is free; \nX1434 is free; \nX1435 is free; \nX1444 is free; \nX1445 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
970 [label="970: quot(T321, T323, s(s(s(T323))), 0), SCOPE: 215, CLAUSE: 3\n\nT321 is ground\nT323 is ground\nX1433 is free; \nX1434 is free; \nX1435 is free; \nX1441 is free; \nX1442 is free; \nX1443 is free; \nquot(T321, T323, s(s(s(T323))), 0) !=? quot(0, s(X1433), s(X1434), X1435)\nquot(T321, T323, s(s(s(T323))), 0) !=? quot(X1441, 0, X1442, X1443)", fontsize=16, style=filled, fillcolor=lightyellow];
971 [label="971: ','(eq(s(s(s(0))), s(X1444)), ','(p(0, X1445), quot(T325, s(s(s(0))), s(s(s(0))), X1445)))\n\nT325 is ground\nX1444 is free; \nX1445 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
972 [label="972: ','(eq(s(s(s(0))), s(X1444)), ','(p(0, X1445), quot(T325, s(s(s(0))), s(s(s(0))), X1445))), SCOPE: 217, CLAUSE: 6\n\nT325 is ground\nX1444 is free; \nX1445 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
973 [label="973: ','(p(0, X1445), quot(T325, s(s(s(0))), s(s(s(0))), X1445))\n\nT325 is ground\nX1445 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
974 [label="974: ','(p(0, X1445), quot(T325, s(s(s(0))), s(s(s(0))), X1445)), SCOPE: 218, CLAUSE: 4 | ','(p(0, X1445), quot(T325, s(s(s(0))), s(s(s(0))), X1445)), SCOPE: 218, CLAUSE: 5\n\nT325 is ground\nX1445 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
975 [label="975: quot(T325, s(s(s(0))), s(s(s(0))), 0) | ','(p(0, X1445), quot(T325, s(s(s(0))), s(s(s(0))), X1445)), SCOPE: 218, CLAUSE: 5\n\nT325 is ground\nX1445 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
976 [label="976: ','(p(T327, X1456), quot(T326, X1456, s(s(s(T327))), 0))\n\nT326 is ground\nT327 is ground\nX1433 is free; \nX1434 is free; \nX1435 is free; \nX1441 is free; \nX1442 is free; \nX1443 is free; \nX1456 is free; \nquot(s(T326), T327, s(s(s(T327))), 0) !=? quot(X1441, 0, X1442, X1443)", fontsize=16, style=filled, fillcolor=lightyellow];
977 [label="977: \n\nX1433 is free\nX1434 is free; \nX1435 is free; \nX1441 is free; \nX1442 is free; \nX1443 is free; \nX1452 is free; \nX1453 is free; \nX1454 is free; \nX1455 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
978 [label="978: ','(p(T327, X1456), quot(T326, X1456, s(s(s(T327))), 0)), SCOPE: 219, CLAUSE: 4 | ','(p(T327, X1456), quot(T326, X1456, s(s(s(T327))), 0)), SCOPE: 219, CLAUSE: 5\n\nT326 is ground\nT327 is ground\nX1441 is free; \nX1442 is free; \nX1443 is free; \nX1456 is free; \nquot(s(T326), T327, s(s(s(T327))), 0) !=? quot(X1441, 0, X1442, X1443)", fontsize=16, style=filled, fillcolor=lightyellow];
979 [label="979: ','(p(T327, X1456), quot(T326, X1456, s(s(s(T327))), 0)), SCOPE: 219, CLAUSE: 5\n\nT326 is ground\nT327 is ground\nX1441 is free; \nX1442 is free; \nX1443 is free; \nX1456 is free; \nquot(s(T326), T327, s(s(s(T327))), 0) !=? quot(X1441, 0, X1442, X1443)\np(T327, X1456) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
980 [label="980: quot(T326, T328, s(s(s(s(T328)))), 0)\n\nT326 is ground\nT328 is ground\nX1441 is free; \nX1442 is free; \nX1443 is free; \nX1456 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
981 [label="981: \n\nX1441 is free\nX1442 is free; \nX1443 is free; \nX1456 is free; \nX1458 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
982 [label="982: quot(T326, T328, s(s(s(s(T328)))), 0), SCOPE: 220, CLAUSE: 1 | quot(T326, T328, s(s(s(s(T328)))), 0), SCOPE: 220, CLAUSE: 2 | quot(T326, T328, s(s(s(s(T328)))), 0), SCOPE: 220, CLAUSE: 3 | ?_220\n\nT326 is ground\nT328 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
983 [label="983: ','(!_220, eq(0, 0)) | quot(0, s(T329), s(s(s(s(s(T329))))), 0), SCOPE: 220, CLAUSE: 2 | quot(0, s(T329), s(s(s(s(s(T329))))), 0), SCOPE: 220, CLAUSE: 3 | ?_220\n\nT329 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
984 [label="984: quot(T326, T328, s(s(s(s(T328)))), 0), SCOPE: 220, CLAUSE: 2 | quot(T326, T328, s(s(s(s(T328)))), 0), SCOPE: 220, CLAUSE: 3 | ?_220\n\nT326 is ground\nT328 is ground\nX1462 is free; \nX1463 is free; \nX1464 is free; \nquot(T326, T328, s(s(s(s(T328)))), 0) !=? quot(0, s(X1462), s(X1463), X1464)", fontsize=16, style=filled, fillcolor=lightyellow];
985 [label="985: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
986 [label="986: eq(0, 0), SCOPE: 221, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
987 [label="987: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
988 [label="988: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
989 [label="989: ','(!_220, ','(eq(s(s(s(s(0)))), s(X1473)), ','(p(0, X1474), quot(T330, s(s(s(s(0)))), s(s(s(s(0)))), X1474)))) | quot(T330, 0, s(s(s(s(0)))), 0), SCOPE: 220, CLAUSE: 3 | ?_220\n\nT330 is ground\nX1462 is free; \nX1463 is free; \nX1464 is free; \nX1473 is free; \nX1474 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
990 [label="990: quot(T326, T328, s(s(s(s(T328)))), 0), SCOPE: 220, CLAUSE: 3\n\nT326 is ground\nT328 is ground\nX1462 is free; \nX1463 is free; \nX1464 is free; \nX1470 is free; \nX1471 is free; \nX1472 is free; \nquot(T326, T328, s(s(s(s(T328)))), 0) !=? quot(0, s(X1462), s(X1463), X1464)\nquot(T326, T328, s(s(s(s(T328)))), 0) !=? quot(X1470, 0, X1471, X1472)", fontsize=16, style=filled, fillcolor=lightyellow];
991 [label="991: ','(eq(s(s(s(s(0)))), s(X1473)), ','(p(0, X1474), quot(T330, s(s(s(s(0)))), s(s(s(s(0)))), X1474)))\n\nT330 is ground\nX1473 is free; \nX1474 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
992 [label="992: ','(eq(s(s(s(s(0)))), s(X1473)), ','(p(0, X1474), quot(T330, s(s(s(s(0)))), s(s(s(s(0)))), X1474))), SCOPE: 222, CLAUSE: 6\n\nT330 is ground\nX1473 is free; \nX1474 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
993 [label="993: ','(p(0, X1474), quot(T330, s(s(s(s(0)))), s(s(s(s(0)))), X1474))\n\nT330 is ground\nX1474 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
994 [label="994: ','(p(0, X1474), quot(T330, s(s(s(s(0)))), s(s(s(s(0)))), X1474)), SCOPE: 223, CLAUSE: 4 | ','(p(0, X1474), quot(T330, s(s(s(s(0)))), s(s(s(s(0)))), X1474)), SCOPE: 223, CLAUSE: 5\n\nT330 is ground\nX1474 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
995 [label="995: quot(T330, s(s(s(s(0)))), s(s(s(s(0)))), 0) | ','(p(0, X1474), quot(T330, s(s(s(s(0)))), s(s(s(s(0)))), X1474)), SCOPE: 223, CLAUSE: 5\n\nT330 is ground\nX1474 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
996 [label="996: ','(p(T332, X1485), quot(T331, X1485, s(s(s(s(T332)))), 0))\n\nT331 is ground\nT332 is ground\nX1462 is free; \nX1463 is free; \nX1464 is free; \nX1470 is free; \nX1471 is free; \nX1472 is free; \nX1485 is free; \nquot(s(T331), T332, s(s(s(s(T332)))), 0) !=? quot(X1470, 0, X1471, X1472)", fontsize=16, style=filled, fillcolor=lightyellow];
997 [label="997: \n\nX1462 is free\nX1463 is free; \nX1464 is free; \nX1470 is free; \nX1471 is free; \nX1472 is free; \nX1481 is free; \nX1482 is free; \nX1483 is free; \nX1484 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
998 [label="998: ','(p(T332, X1485), quot(T331, X1485, s(s(s(s(T332)))), 0)), SCOPE: 224, CLAUSE: 4 | ','(p(T332, X1485), quot(T331, X1485, s(s(s(s(T332)))), 0)), SCOPE: 224, CLAUSE: 5\n\nT331 is ground\nT332 is ground\nX1470 is free; \nX1471 is free; \nX1472 is free; \nX1485 is free; \nquot(s(T331), T332, s(s(s(s(T332)))), 0) !=? quot(X1470, 0, X1471, X1472)", fontsize=16, style=filled, fillcolor=lightyellow];
999 [label="999: ','(p(T332, X1485), quot(T331, X1485, s(s(s(s(T332)))), 0)), SCOPE: 224, CLAUSE: 5\n\nT331 is ground\nT332 is ground\nX1470 is free; \nX1471 is free; \nX1472 is free; \nX1485 is free; \nquot(s(T331), T332, s(s(s(s(T332)))), 0) !=? quot(X1470, 0, X1471, X1472)\np(T332, X1485) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
1000 [label="1000: quot(T331, T333, s(s(s(s(s(T333))))), 0)\n\nT331 is ground\nT333 is ground\nX1470 is free; \nX1471 is free; \nX1472 is free; \nX1485 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1001 [label="1001: \n\nX1470 is free\nX1471 is free; \nX1472 is free; \nX1485 is free; \nX1487 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1002 [label="1002: quot(T331, T333, s(s(s(s(s(T333))))), 0), SCOPE: 225, CLAUSE: 1 | quot(T331, T333, s(s(s(s(s(T333))))), 0), SCOPE: 225, CLAUSE: 2 | quot(T331, T333, s(s(s(s(s(T333))))), 0), SCOPE: 225, CLAUSE: 3 | ?_225\n\nT331 is ground\nT333 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1003 [label="1003: ','(!_225, eq(0, 0)) | quot(0, s(T334), s(s(s(s(s(s(T334)))))), 0), SCOPE: 225, CLAUSE: 2 | quot(0, s(T334), s(s(s(s(s(s(T334)))))), 0), SCOPE: 225, CLAUSE: 3 | ?_225\n\nT334 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1004 [label="1004: quot(T331, T333, s(s(s(s(s(T333))))), 0), SCOPE: 225, CLAUSE: 2 | quot(T331, T333, s(s(s(s(s(T333))))), 0), SCOPE: 225, CLAUSE: 3 | ?_225\n\nT331 is ground\nT333 is ground\nX1491 is free; \nX1492 is free; \nX1493 is free; \nquot(T331, T333, s(s(s(s(s(T333))))), 0) !=? quot(0, s(X1491), s(X1492), X1493)", fontsize=16, style=filled, fillcolor=lightyellow];
1005 [label="1005: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1006 [label="1006: eq(0, 0), SCOPE: 226, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1007 [label="1007: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1008 [label="1008: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1009 [label="1009: ','(!_225, ','(eq(s(s(s(s(s(0))))), s(X1502)), ','(p(0, X1503), quot(T335, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1503)))) | quot(T335, 0, s(s(s(s(s(0))))), 0), SCOPE: 225, CLAUSE: 3 | ?_225\n\nT335 is ground\nX1491 is free; \nX1492 is free; \nX1493 is free; \nX1502 is free; \nX1503 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1010 [label="1010: quot(T331, T333, s(s(s(s(s(T333))))), 0), SCOPE: 225, CLAUSE: 3\n\nT331 is ground\nT333 is ground\nX1491 is free; \nX1492 is free; \nX1493 is free; \nX1499 is free; \nX1500 is free; \nX1501 is free; \nquot(T331, T333, s(s(s(s(s(T333))))), 0) !=? quot(0, s(X1491), s(X1492), X1493)\nquot(T331, T333, s(s(s(s(s(T333))))), 0) !=? quot(X1499, 0, X1500, X1501)", fontsize=16, style=filled, fillcolor=lightyellow];
1011 [label="1011: ','(eq(s(s(s(s(s(0))))), s(X1502)), ','(p(0, X1503), quot(T335, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1503)))\n\nT335 is ground\nX1502 is free; \nX1503 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1012 [label="1012: ','(eq(s(s(s(s(s(0))))), s(X1502)), ','(p(0, X1503), quot(T335, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1503))), SCOPE: 227, CLAUSE: 6\n\nT335 is ground\nX1502 is free; \nX1503 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1013 [label="1013: ','(p(0, X1503), quot(T335, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1503))\n\nT335 is ground\nX1503 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1014 [label="1014: ','(p(0, X1503), quot(T335, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1503)), SCOPE: 228, CLAUSE: 4 | ','(p(0, X1503), quot(T335, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1503)), SCOPE: 228, CLAUSE: 5\n\nT335 is ground\nX1503 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1015 [label="1015: quot(T335, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) | ','(p(0, X1503), quot(T335, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1503)), SCOPE: 228, CLAUSE: 5\n\nT335 is ground\nX1503 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1016 [label="1016: ','(p(T337, X1514), quot(T336, X1514, s(s(s(s(s(T337))))), 0))\n\nT336 is ground\nT337 is ground\nX1491 is free; \nX1492 is free; \nX1493 is free; \nX1499 is free; \nX1500 is free; \nX1501 is free; \nX1514 is free; \nquot(s(T336), T337, s(s(s(s(s(T337))))), 0) !=? quot(X1499, 0, X1500, X1501)", fontsize=16, style=filled, fillcolor=lightyellow];
1017 [label="1017: \n\nX1491 is free\nX1492 is free; \nX1493 is free; \nX1499 is free; \nX1500 is free; \nX1501 is free; \nX1510 is free; \nX1511 is free; \nX1512 is free; \nX1513 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1018 [label="1018: ','(p(T337, X1514), quot(T336, X1514, s(s(s(s(s(T337))))), 0)), SCOPE: 229, CLAUSE: 4 | ','(p(T337, X1514), quot(T336, X1514, s(s(s(s(s(T337))))), 0)), SCOPE: 229, CLAUSE: 5\n\nT336 is ground\nT337 is ground\nX1499 is free; \nX1500 is free; \nX1501 is free; \nX1514 is free; \nquot(s(T336), T337, s(s(s(s(s(T337))))), 0) !=? quot(X1499, 0, X1500, X1501)", fontsize=16, style=filled, fillcolor=lightyellow];
1019 [label="1019: ','(p(T337, X1514), quot(T336, X1514, s(s(s(s(s(T337))))), 0)), SCOPE: 229, CLAUSE: 5\n\nT336 is ground\nT337 is ground\nX1499 is free; \nX1500 is free; \nX1501 is free; \nX1514 is free; \nquot(s(T336), T337, s(s(s(s(s(T337))))), 0) !=? quot(X1499, 0, X1500, X1501)\np(T337, X1514) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
1020 [label="1020: quot(T336, T338, s(s(s(s(s(s(T338)))))), 0)\n\nT336 is ground\nT338 is ground\nX1499 is free; \nX1500 is free; \nX1501 is free; \nX1514 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1021 [label="1021: \n\nX1499 is free\nX1500 is free; \nX1501 is free; \nX1514 is free; \nX1516 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1022 [label="1022: quot(T336, T338, s(s(s(s(s(s(T338)))))), 0), SCOPE: 230, CLAUSE: 1 | quot(T336, T338, s(s(s(s(s(s(T338)))))), 0), SCOPE: 230, CLAUSE: 2 | quot(T336, T338, s(s(s(s(s(s(T338)))))), 0), SCOPE: 230, CLAUSE: 3 | ?_230\n\nT336 is ground\nT338 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1023 [label="1023: ','(!_230, eq(0, 0)) | quot(0, s(T339), s(s(s(s(s(s(s(T339))))))), 0), SCOPE: 230, CLAUSE: 2 | quot(0, s(T339), s(s(s(s(s(s(s(T339))))))), 0), SCOPE: 230, CLAUSE: 3 | ?_230\n\nT339 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1024 [label="1024: quot(T336, T338, s(s(s(s(s(s(T338)))))), 0), SCOPE: 230, CLAUSE: 2 | quot(T336, T338, s(s(s(s(s(s(T338)))))), 0), SCOPE: 230, CLAUSE: 3 | ?_230\n\nT336 is ground\nT338 is ground\nX1520 is free; \nX1521 is free; \nX1522 is free; \nquot(T336, T338, s(s(s(s(s(s(T338)))))), 0) !=? quot(0, s(X1520), s(X1521), X1522)", fontsize=16, style=filled, fillcolor=lightyellow];
1025 [label="1025: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1026 [label="1026: eq(0, 0), SCOPE: 231, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1027 [label="1027: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1028 [label="1028: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1029 [label="1029: ','(!_230, ','(eq(s(s(s(s(s(s(0)))))), s(X1531)), ','(p(0, X1532), quot(T340, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1532)))) | quot(T340, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 230, CLAUSE: 3 | ?_230\n\nT340 is ground\nX1520 is free; \nX1521 is free; \nX1522 is free; \nX1531 is free; \nX1532 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1030 [label="1030: quot(T336, T338, s(s(s(s(s(s(T338)))))), 0), SCOPE: 230, CLAUSE: 3\n\nT336 is ground\nT338 is ground\nX1520 is free; \nX1521 is free; \nX1522 is free; \nX1528 is free; \nX1529 is free; \nX1530 is free; \nquot(T336, T338, s(s(s(s(s(s(T338)))))), 0) !=? quot(0, s(X1520), s(X1521), X1522)\nquot(T336, T338, s(s(s(s(s(s(T338)))))), 0) !=? quot(X1528, 0, X1529, X1530)", fontsize=16, style=filled, fillcolor=lightyellow];
1031 [label="1031: ','(eq(s(s(s(s(s(s(0)))))), s(X1531)), ','(p(0, X1532), quot(T340, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1532)))\n\nT340 is ground\nX1531 is free; \nX1532 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1032 [label="1032: ','(eq(s(s(s(s(s(s(0)))))), s(X1531)), ','(p(0, X1532), quot(T340, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1532))), SCOPE: 232, CLAUSE: 6\n\nT340 is ground\nX1531 is free; \nX1532 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1033 [label="1033: ','(p(0, X1532), quot(T340, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1532))\n\nT340 is ground\nX1532 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1034 [label="1034: ','(p(0, X1532), quot(T340, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1532)), SCOPE: 233, CLAUSE: 4 | ','(p(0, X1532), quot(T340, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1532)), SCOPE: 233, CLAUSE: 5\n\nT340 is ground\nX1532 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1035 [label="1035: quot(T340, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) | ','(p(0, X1532), quot(T340, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1532)), SCOPE: 233, CLAUSE: 5\n\nT340 is ground\nX1532 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1036 [label="1036: ','(p(T342, X1543), quot(T341, X1543, s(s(s(s(s(s(T342)))))), 0))\n\nT341 is ground\nT342 is ground\nX1520 is free; \nX1521 is free; \nX1522 is free; \nX1528 is free; \nX1529 is free; \nX1530 is free; \nX1543 is free; \nquot(s(T341), T342, s(s(s(s(s(s(T342)))))), 0) !=? quot(X1528, 0, X1529, X1530)", fontsize=16, style=filled, fillcolor=lightyellow];
1037 [label="1037: \n\nX1520 is free\nX1521 is free; \nX1522 is free; \nX1528 is free; \nX1529 is free; \nX1530 is free; \nX1539 is free; \nX1540 is free; \nX1541 is free; \nX1542 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1038 [label="1038: ','(p(T342, X1543), quot(T341, X1543, s(s(s(s(s(s(T342)))))), 0)), SCOPE: 234, CLAUSE: 4 | ','(p(T342, X1543), quot(T341, X1543, s(s(s(s(s(s(T342)))))), 0)), SCOPE: 234, CLAUSE: 5\n\nT341 is ground\nT342 is ground\nX1528 is free; \nX1529 is free; \nX1530 is free; \nX1543 is free; \nquot(s(T341), T342, s(s(s(s(s(s(T342)))))), 0) !=? quot(X1528, 0, X1529, X1530)", fontsize=16, style=filled, fillcolor=lightyellow];
1039 [label="1039: ','(p(T342, X1543), quot(T341, X1543, s(s(s(s(s(s(T342)))))), 0)), SCOPE: 234, CLAUSE: 5\n\nT341 is ground\nT342 is ground\nX1528 is free; \nX1529 is free; \nX1530 is free; \nX1543 is free; \nquot(s(T341), T342, s(s(s(s(s(s(T342)))))), 0) !=? quot(X1528, 0, X1529, X1530)\np(T342, X1543) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
1040 [label="1040: quot(T341, T343, s(s(s(s(s(s(s(T343))))))), 0)\n\nT341 is ground\nT343 is ground\nX1528 is free; \nX1529 is free; \nX1530 is free; \nX1543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1041 [label="1041: \n\nX1528 is free\nX1529 is free; \nX1530 is free; \nX1543 is free; \nX1545 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1042 [label="1042: quot(T341, T343, s(T344), 0)\n\nT341 is ground\nT343 is ground\nT344 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1043 [label="1043: quot(T341, T343, s(T344), 0), SCOPE: 235, CLAUSE: 1 | quot(T341, T343, s(T344), 0), SCOPE: 235, CLAUSE: 2 | quot(T341, T343, s(T344), 0), SCOPE: 235, CLAUSE: 3 | ?_235\n\nT341 is ground\nT343 is ground\nT344 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1044 [label="1044: ','(!_235, eq(0, 0)) | quot(0, s(T345), s(T346), 0), SCOPE: 235, CLAUSE: 2 | quot(0, s(T345), s(T346), 0), SCOPE: 235, CLAUSE: 3 | ?_235\n\nT345 is ground\nT346 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1045 [label="1045: quot(T341, T343, s(T344), 0), SCOPE: 235, CLAUSE: 2 | quot(T341, T343, s(T344), 0), SCOPE: 235, CLAUSE: 3 | ?_235\n\nT341 is ground\nT343 is ground\nT344 is ground\nX1549 is free; \nX1550 is free; \nX1551 is free; \nquot(T341, T343, s(T344), 0) !=? quot(0, s(X1549), s(X1550), X1551)", fontsize=16, style=filled, fillcolor=lightyellow];
1046 [label="1046: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1047 [label="1047: eq(0, 0), SCOPE: 236, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1048 [label="1048: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1049 [label="1049: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1050 [label="1050: ','(!_235, ','(eq(s(T348), s(X1560)), ','(p(0, X1561), quot(T347, s(T348), s(T348), X1561)))) | quot(T347, 0, s(T348), 0), SCOPE: 235, CLAUSE: 3 | ?_235\n\nT347 is ground\nT348 is ground\nX1549 is free; \nX1550 is free; \nX1551 is free; \nX1560 is free; \nX1561 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1051 [label="1051: quot(T341, T343, s(T344), 0), SCOPE: 235, CLAUSE: 3\n\nT341 is ground\nT343 is ground\nT344 is ground\nX1549 is free; \nX1550 is free; \nX1551 is free; \nX1557 is free; \nX1558 is free; \nX1559 is free; \nquot(T341, T343, s(T344), 0) !=? quot(0, s(X1549), s(X1550), X1551)\nquot(T341, T343, s(T344), 0) !=? quot(X1557, 0, X1558, X1559)", fontsize=16, style=filled, fillcolor=lightyellow];
1052 [label="1052: ','(eq(s(T348), s(X1560)), ','(p(0, X1561), quot(T347, s(T348), s(T348), X1561)))\n\nT347 is ground\nT348 is ground\nX1560 is free; \nX1561 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1053 [label="1053: ','(eq(s(T348), s(X1560)), ','(p(0, X1561), quot(T347, s(T348), s(T348), X1561))), SCOPE: 237, CLAUSE: 6\n\nT347 is ground\nT348 is ground\nX1560 is free; \nX1561 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1054 [label="1054: ','(p(0, X1561), quot(T347, s(T349), s(T349), X1561))\n\nT347 is ground\nT349 is ground\nX1561 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1055 [label="1055: ','(p(0, X1561), quot(T347, s(T349), s(T349), X1561)), SCOPE: 238, CLAUSE: 4 | ','(p(0, X1561), quot(T347, s(T349), s(T349), X1561)), SCOPE: 238, CLAUSE: 5\n\nT347 is ground\nT349 is ground\nX1561 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1056 [label="1056: quot(T347, s(T349), s(T349), 0) | ','(p(0, X1561), quot(T347, s(T349), s(T349), X1561)), SCOPE: 238, CLAUSE: 5\n\nT347 is ground\nT349 is ground\nX1561 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1057 [label="1057: quot(T347, s(T349), s(T349), 0)\n\nT347 is ground\nT349 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1058 [label="1058: ','(p(0, X1561), quot(T347, s(T349), s(T349), X1561)), SCOPE: 238, CLAUSE: 5\n\nT347 is ground\nT349 is ground\nX1561 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1059 [label="1059: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1060 [label="1060: ','(p(T351, X1573), quot(T350, X1573, s(T352), 0))\n\nT350 is ground\nT351 is ground\nT352 is ground\nX1549 is free; \nX1550 is free; \nX1551 is free; \nX1557 is free; \nX1558 is free; \nX1559 is free; \nX1573 is free; \nquot(s(T350), T351, s(T352), 0) !=? quot(X1557, 0, X1558, X1559)", fontsize=16, style=filled, fillcolor=lightyellow];
1061 [label="1061: \n\nX1549 is free\nX1550 is free; \nX1551 is free; \nX1557 is free; \nX1558 is free; \nX1559 is free; \nX1569 is free; \nX1570 is free; \nX1571 is free; \nX1572 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1062 [label="1062: ','(p(T351, X1573), quot(T350, X1573, s(T352), 0)), SCOPE: 239, CLAUSE: 4 | ','(p(T351, X1573), quot(T350, X1573, s(T352), 0)), SCOPE: 239, CLAUSE: 5\n\nT350 is ground\nT351 is ground\nT352 is ground\nX1557 is free; \nX1558 is free; \nX1559 is free; \nX1573 is free; \nquot(s(T350), T351, s(T352), 0) !=? quot(X1557, 0, X1558, X1559)", fontsize=16, style=filled, fillcolor=lightyellow];
1063 [label="1063: ','(p(T351, X1573), quot(T350, X1573, s(T352), 0)), SCOPE: 239, CLAUSE: 5\n\nT350 is ground\nT351 is ground\nT352 is ground\nX1557 is free; \nX1558 is free; \nX1559 is free; \nX1573 is free; \nquot(s(T350), T351, s(T352), 0) !=? quot(X1557, 0, X1558, X1559)\np(T351, X1573) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
1064 [label="1064: quot(T350, T353, s(T352), 0)\n\nT350 is ground\nT352 is ground\nT353 is ground\nX1557 is free; \nX1558 is free; \nX1559 is free; \nX1573 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1065 [label="1065: \n\nX1557 is free\nX1558 is free; \nX1559 is free; \nX1573 is free; \nX1575 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1066 [label="1066: quot(T305, s(T309), s(T309), T355)\n\nT305 is ground\nT309 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1067 [label="1067: \n\nX1347 is free\nX1577 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1068 [label="1068: quot(T305, s(T309), s(T309), T357)\n\nT305 is ground\nT309 is ground\nX1347 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1069 [label="1069: \n\nX1347 is free\nX1579 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1070 [label="1070: ','(p(T359, X1588), quot(T358, X1588, s(T360), T362))\n\nT358 is ground\nT359 is ground\nT360 is ground\nX1335 is free; \nX1336 is free; \nX1337 is free; \nX1343 is free; \nX1344 is free; \nX1345 is free; \nX1588 is free; \nquot(s(T358), T359, s(T360), T297) !=? quot(X1343, 0, X1344, X1345)", fontsize=16, style=filled, fillcolor=lightyellow];
1071 [label="1071: \n\nX1335 is free\nX1336 is free; \nX1337 is free; \nX1343 is free; \nX1344 is free; \nX1345 is free; \nX1584 is free; \nX1585 is free; \nX1586 is free; \nX1587 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1072 [label="1072: ','(p(T359, X1588), quot(T358, X1588, s(T360), T362)), SCOPE: 240, CLAUSE: 4 | ','(p(T359, X1588), quot(T358, X1588, s(T360), T362)), SCOPE: 240, CLAUSE: 5\n\nT358 is ground\nT359 is ground\nT360 is ground\nX1343 is free; \nX1344 is free; \nX1345 is free; \nX1588 is free; \nquot(s(T358), T359, s(T360), T297) !=? quot(X1343, 0, X1344, X1345)", fontsize=16, style=filled, fillcolor=lightyellow];
1073 [label="1073: ','(p(T359, X1588), quot(T358, X1588, s(T360), T362)), SCOPE: 240, CLAUSE: 5\n\nT358 is ground\nT359 is ground\nT360 is ground\nX1343 is free; \nX1344 is free; \nX1345 is free; \nX1588 is free; \nquot(s(T358), T359, s(T360), T297) !=? quot(X1343, 0, X1344, X1345)\np(T359, X1588) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
1074 [label="1074: quot(T358, T363, s(T360), T362)\n\nT358 is ground\nT360 is ground\nT363 is ground\nX1343 is free; \nX1344 is free; \nX1345 is free; \nX1588 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1075 [label="1075: \n\nX1343 is free\nX1344 is free; \nX1345 is free; \nX1588 is free; \nX1590 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1076 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1 -> 1076 [arrowhead = none ];
1076 -> 2;

1077 [label="EVAL with clause\ndiv(X5, X6, X7) :- quot(X5, X6, X6, X7).\nand substitution\nT1 -> T4\nX5 -> T4\nT2 -> T5\nX6 -> T5\nT3 -> T7\nX7 -> T7\nT6 -> T7", fontsize=14, style = filled, fillcolor = lightblue];
2 -> 1077 [arrowhead = none ];
1077 -> 3;

1078 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3 -> 1078 [arrowhead = none ];
1078 -> 4;

1079 [label="EVAL with clause\nquot(0, s(X11), s(X12), X13) :- ','(!, eq(X13, 0)).\nand substitution\nT4 -> 0\nX11 -> T8\nT5 -> s(T8)\nX12 -> T8\nT7 -> T10\nX13 -> T10\nT9 -> T10", fontsize=14, style = filled, fillcolor = lightblue];
4 -> 1079 [arrowhead = none ];
1079 -> 5;

1080 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
4 -> 1080 [arrowhead = none ];
1080 -> 6;

1081 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
5 -> 1081 [arrowhead = none ];
1081 -> 7;

1082 [label="EVAL with clause\nquot(X19, 0, X20, X21) :- ','(!, ','(eq(X20, s(X22)), ','(p(X21, X23), quot(X19, X20, X20, X23)))).\nand substitution\nT4 -> T12\nX19 -> T12\nT5 -> 0\nX20 -> 0\nT7 -> T14\nX21 -> T14\nT13 -> T14", fontsize=14, style = filled, fillcolor = lightblue];
6 -> 1082 [arrowhead = none ];
1082 -> 12;

1083 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
6 -> 1083 [arrowhead = none ];
1083 -> 13;

1084 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
7 -> 1084 [arrowhead = none ];
1084 -> 8;

1085 [label="EVAL with clause\neq(X15, X15).\nand substitution\nT10 -> 0\nX15 -> 0\nT11 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
8 -> 1085 [arrowhead = none ];
1085 -> 9;

1086 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
8 -> 1086 [arrowhead = none ];
1086 -> 10;

1087 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
9 -> 1087 [arrowhead = none ];
1087 -> 11;

1088 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
12 -> 1088 [arrowhead = none ];
1088 -> 14;

1089 [label="EVAL with clause\nquot(s(X29), X30, X31, X32) :- ','(p(X30, X33), quot(X29, X33, X31, X32)).\nand substitution\nX29 -> T15\nT4 -> s(T15)\nT5 -> T16\nX30 -> T16\nX31 -> T16\nT7 -> T18\nX32 -> T18\nT17 -> T18", fontsize=14, style = filled, fillcolor = lightblue];
13 -> 1089 [arrowhead = none ];
1089 -> 17;

1090 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
13 -> 1090 [arrowhead = none ];
1090 -> 18;

1091 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
14 -> 1091 [arrowhead = none ];
1091 -> 15;

1092 [label="BACKTRACK\nfor clause: eq(X, X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
15 -> 1092 [arrowhead = none ];
1092 -> 16;

1093 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
17 -> 1093 [arrowhead = none ];
1093 -> 19;

1094 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T15), T16, T16, T7), quot(X19, 0, X20, X21))", fontsize=14, style = filled, fillcolor = white];
19 -> 1094 [arrowhead = none ];
1094 -> 20;

1095 [label="EVAL with clause\np(s(X35), X35).\nand substitution\nX35 -> T19\nT16 -> s(T19)\nX33 -> T19", fontsize=14, style = filled, fillcolor = lightblue];
20 -> 1095 [arrowhead = none ];
1095 -> 21;

1096 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
20 -> 1096 [arrowhead = none ];
1096 -> 22;

1097 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
21 -> 1097 [arrowhead = none ];
1097 -> 23;

1098 [label="EVAL with clause\nquot(0, s(X39), s(X40), X41) :- ','(!, eq(X41, 0)).\nand substitution\nT15 -> 0\nX39 -> T20\nT19 -> s(T20)\nX40 -> s(T20)\nT18 -> T22\nX41 -> T22\nT21 -> T22", fontsize=14, style = filled, fillcolor = lightblue];
23 -> 1098 [arrowhead = none ];
1098 -> 24;

1099 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
23 -> 1099 [arrowhead = none ];
1099 -> 25;

1100 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
24 -> 1100 [arrowhead = none ];
1100 -> 26;

1101 [label="EVAL with clause\nquot(X47, 0, X48, X49) :- ','(!, ','(eq(X48, s(X50)), ','(p(X49, X51), quot(X47, X48, X48, X51)))).\nand substitution\nT15 -> T24\nX47 -> T24\nT19 -> 0\nX48 -> s(0)\nT18 -> T26\nX49 -> T26\nT25 -> T26", fontsize=14, style = filled, fillcolor = lightblue];
25 -> 1101 [arrowhead = none ];
1101 -> 31;

1102 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
25 -> 1102 [arrowhead = none ];
1102 -> 32;

1103 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
26 -> 1103 [arrowhead = none ];
1103 -> 27;

1104 [label="EVAL with clause\neq(X43, X43).\nand substitution\nT22 -> 0\nX43 -> 0\nT23 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
27 -> 1104 [arrowhead = none ];
1104 -> 28;

1105 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
27 -> 1105 [arrowhead = none ];
1105 -> 29;

1106 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
28 -> 1106 [arrowhead = none ];
1106 -> 30;

1107 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
31 -> 1107 [arrowhead = none ];
1107 -> 33;

1108 [label="EVAL with clause\nquot(s(X135), X136, X137, X138) :- ','(p(X136, X139), quot(X135, X139, X137, X138)).\nand substitution\nX135 -> T44\nT15 -> s(T44)\nT19 -> T45\nX136 -> T45\nX137 -> s(T45)\nT18 -> T47\nX138 -> T47\nT46 -> T47", fontsize=14, style = filled, fillcolor = lightblue];
32 -> 1108 [arrowhead = none ];
1108 -> 94;

1109 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
32 -> 1109 [arrowhead = none ];
1109 -> 95;

1110 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
33 -> 1110 [arrowhead = none ];
1110 -> 34;

1111 [label="EVAL with clause\neq(X53, X53).\nand substitution\nX53 -> s(0)\nX50 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
34 -> 1111 [arrowhead = none ];
1111 -> 35;

1112 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
35 -> 1112 [arrowhead = none ];
1112 -> 36;

1113 [label="EVAL with clause\np(0, 0).\nand substitution\nT26 -> 0\nX51 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
36 -> 1113 [arrowhead = none ];
1113 -> 37;

1114 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
36 -> 1114 [arrowhead = none ];
1114 -> 38;

1115 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
37 -> 1115 [arrowhead = none ];
1115 -> 39;

1116 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
37 -> 1116 [arrowhead = none ];
1116 -> 40;

1117 [label="EVAL with clause\np(s(X130), X130).\nand substitution\nX130 -> T43\nT26 -> s(T43)\nX51 -> T43\nT42 -> T43", fontsize=14, style = filled, fillcolor = lightblue];
38 -> 1117 [arrowhead = none ];
1117 -> 92;

1118 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
38 -> 1118 [arrowhead = none ];
1118 -> 93;

1119 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
39 -> 1119 [arrowhead = none ];
1119 -> 41;

1120 [label="EVAL with clause\np(s(X91), X91).\nand substitution\nX91 -> T30\nT26 -> s(T30)\nX51 -> T30\nT29 -> T30", fontsize=14, style = filled, fillcolor = lightblue];
40 -> 1120 [arrowhead = none ];
1120 -> 65;

1121 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
40 -> 1121 [arrowhead = none ];
1121 -> 66;

1122 [label="EVAL with clause\nquot(0, s(X57), s(X58), X59) :- ','(!, eq(X59, 0)).\nand substitution\nT24 -> 0\nX57 -> 0\nX58 -> 0\nX59 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
41 -> 1122 [arrowhead = none ];
1122 -> 42;

1123 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
41 -> 1123 [arrowhead = none ];
1123 -> 43;

1124 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
42 -> 1124 [arrowhead = none ];
1124 -> 44;

1125 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
43 -> 1125 [arrowhead = none ];
1125 -> 48;

1126 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
44 -> 1126 [arrowhead = none ];
1126 -> 45;

1127 [label="EVAL with clause\neq(X61, X61).\nand substitution\nX61 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
45 -> 1127 [arrowhead = none ];
1127 -> 46;

1128 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
46 -> 1128 [arrowhead = none ];
1128 -> 47;

1129 [label="EVAL with clause\nquot(s(X69), X70, X71, X72) :- ','(p(X70, X73), quot(X69, X73, X71, X72)).\nand substitution\nX69 -> T27\nT24 -> s(T27)\nX70 -> s(0)\nX71 -> s(0)\nX72 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
48 -> 1129 [arrowhead = none ];
1129 -> 49;

1130 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
48 -> 1130 [arrowhead = none ];
1130 -> 50;

1131 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
49 -> 1131 [arrowhead = none ];
1131 -> 51;

1132 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
51 -> 1132 [arrowhead = none ];
1132 -> 52;

1133 [label="EVAL with clause\np(s(X75), X75).\nand substitution\nX75 -> 0\nX73 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
52 -> 1133 [arrowhead = none ];
1133 -> 53;

1134 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
53 -> 1134 [arrowhead = none ];
1134 -> 54;

1135 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
54 -> 1135 [arrowhead = none ];
1135 -> 55;

1136 [label="EVAL with clause\nquot(X82, 0, X83, X84) :- ','(!, ','(eq(X83, s(X85)), ','(p(X84, X86), quot(X82, X83, X83, X86)))).\nand substitution\nT27 -> T28\nX82 -> T28\nX83 -> s(0)\nX84 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
55 -> 1136 [arrowhead = none ];
1136 -> 56;

1137 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
56 -> 1137 [arrowhead = none ];
1137 -> 57;

1138 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
57 -> 1138 [arrowhead = none ];
1138 -> 58;

1139 [label="EVAL with clause\neq(X88, X88).\nand substitution\nX88 -> s(0)\nX85 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
58 -> 1139 [arrowhead = none ];
1139 -> 59;

1140 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
59 -> 1140 [arrowhead = none ];
1140 -> 60;

1141 [label="EVAL with clause\np(0, 0).\nand substitution\nX86 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
60 -> 1141 [arrowhead = none ];
1141 -> 61;

1142 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
61 -> 1142 [arrowhead = none ];
1142 -> 62;

1143 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
61 -> 1143 [arrowhead = none ];
1143 -> 63;

1144 [label="INSTANCE with matching:\nT24 -> T28", fontsize=14, style = filled, fillcolor = lightgrey];
62 -> 1144 [arrowhead = none , style=dashed];
1144 -> 39[style=dashed];

1145 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
63 -> 1145 [arrowhead = none ];
1145 -> 64;

1146 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
65 -> 1146 [arrowhead = none ];
1146 -> 67;

1147 [label="EVAL with clause\nquot(0, s(X95), s(X96), X97) :- ','(!, eq(X97, 0)).\nand substitution\nT24 -> 0\nX95 -> 0\nX96 -> 0\nT30 -> T32\nX97 -> T32\nT31 -> T32", fontsize=14, style = filled, fillcolor = lightblue];
67 -> 1147 [arrowhead = none ];
1147 -> 68;

1148 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
67 -> 1148 [arrowhead = none ];
1148 -> 69;

1149 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
68 -> 1149 [arrowhead = none ];
1149 -> 70;

1150 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
69 -> 1150 [arrowhead = none ];
1150 -> 75;

1151 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
70 -> 1151 [arrowhead = none ];
1151 -> 71;

1152 [label="EVAL with clause\neq(X99, X99).\nand substitution\nT32 -> 0\nX99 -> 0\nT33 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
71 -> 1152 [arrowhead = none ];
1152 -> 72;

1153 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
71 -> 1153 [arrowhead = none ];
1153 -> 73;

1154 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
72 -> 1154 [arrowhead = none ];
1154 -> 74;

1155 [label="EVAL with clause\nquot(s(X107), X108, X109, X110) :- ','(p(X108, X111), quot(X107, X111, X109, X110)).\nand substitution\nX107 -> T34\nT24 -> s(T34)\nX108 -> s(0)\nX109 -> s(0)\nT30 -> T36\nX110 -> T36\nT35 -> T36", fontsize=14, style = filled, fillcolor = lightblue];
75 -> 1155 [arrowhead = none ];
1155 -> 76;

1156 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
75 -> 1156 [arrowhead = none ];
1156 -> 77;

1157 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
76 -> 1157 [arrowhead = none ];
1157 -> 78;

1158 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
78 -> 1158 [arrowhead = none ];
1158 -> 79;

1159 [label="EVAL with clause\np(s(X113), X113).\nand substitution\nX113 -> 0\nX111 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
79 -> 1159 [arrowhead = none ];
1159 -> 80;

1160 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
80 -> 1160 [arrowhead = none ];
1160 -> 81;

1161 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
81 -> 1161 [arrowhead = none ];
1161 -> 82;

1162 [label="EVAL with clause\nquot(X120, 0, X121, X122) :- ','(!, ','(eq(X121, s(X123)), ','(p(X122, X124), quot(X120, X121, X121, X124)))).\nand substitution\nT34 -> T37\nX120 -> T37\nX121 -> s(0)\nT36 -> T39\nX122 -> T39\nT38 -> T39", fontsize=14, style = filled, fillcolor = lightblue];
82 -> 1162 [arrowhead = none ];
1162 -> 83;

1163 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
83 -> 1163 [arrowhead = none ];
1163 -> 84;

1164 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
84 -> 1164 [arrowhead = none ];
1164 -> 85;

1165 [label="EVAL with clause\neq(X126, X126).\nand substitution\nX126 -> s(0)\nX123 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
85 -> 1165 [arrowhead = none ];
1165 -> 86;

1166 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
86 -> 1166 [arrowhead = none ];
1166 -> 87;

1167 [label="EVAL with clause\np(0, 0).\nand substitution\nT39 -> 0\nX124 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
87 -> 1167 [arrowhead = none ];
1167 -> 88;

1168 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
87 -> 1168 [arrowhead = none ];
1168 -> 89;

1169 [label="INSTANCE with matching:\nT24 -> T37\nT26 -> T39\nX51 -> X124", fontsize=14, style = filled, fillcolor = lightgrey];
88 -> 1169 [arrowhead = none , style=dashed];
1169 -> 37[style=dashed];

1170 [label="EVAL with clause\np(s(X128), X128).\nand substitution\nX128 -> T41\nT39 -> s(T41)\nX124 -> T41\nT40 -> T41", fontsize=14, style = filled, fillcolor = lightblue];
89 -> 1170 [arrowhead = none ];
1170 -> 90;

1171 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
89 -> 1171 [arrowhead = none ];
1171 -> 91;

1172 [label="INSTANCE with matching:\nT24 -> T37\nT30 -> T41", fontsize=14, style = filled, fillcolor = lightgrey];
90 -> 1172 [arrowhead = none , style=dashed];
1172 -> 65[style=dashed];

1173 [label="INSTANCE with matching:\nT30 -> T43", fontsize=14, style = filled, fillcolor = lightgrey];
92 -> 1173 [arrowhead = none , style=dashed];
1173 -> 65[style=dashed];

1174 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
94 -> 1174 [arrowhead = none ];
1174 -> 96;

1175 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T44), T45, s(T45), T18), quot(X47, 0, X48, X49))", fontsize=14, style = filled, fillcolor = white];
96 -> 1175 [arrowhead = none ];
1175 -> 97;

1176 [label="EVAL with clause\np(s(X141), X141).\nand substitution\nX141 -> T48\nT45 -> s(T48)\nX139 -> T48", fontsize=14, style = filled, fillcolor = lightblue];
97 -> 1176 [arrowhead = none ];
1176 -> 98;

1177 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
97 -> 1177 [arrowhead = none ];
1177 -> 99;

1178 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
98 -> 1178 [arrowhead = none ];
1178 -> 100;

1179 [label="EVAL with clause\nquot(0, s(X145), s(X146), X147) :- ','(!, eq(X147, 0)).\nand substitution\nT44 -> 0\nX145 -> T49\nT48 -> s(T49)\nX146 -> s(s(T49))\nT47 -> T51\nX147 -> T51\nT50 -> T51", fontsize=14, style = filled, fillcolor = lightblue];
100 -> 1179 [arrowhead = none ];
1179 -> 101;

1180 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
100 -> 1180 [arrowhead = none ];
1180 -> 102;

1181 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
101 -> 1181 [arrowhead = none ];
1181 -> 103;

1182 [label="EVAL with clause\nquot(X153, 0, X154, X155) :- ','(!, ','(eq(X154, s(X156)), ','(p(X155, X157), quot(X153, X154, X154, X157)))).\nand substitution\nT44 -> T53\nX153 -> T53\nT48 -> 0\nX154 -> s(s(0))\nT47 -> T55\nX155 -> T55\nT54 -> T55", fontsize=14, style = filled, fillcolor = lightblue];
102 -> 1182 [arrowhead = none ];
1182 -> 108;

1183 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
102 -> 1183 [arrowhead = none ];
1183 -> 109;

1184 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
103 -> 1184 [arrowhead = none ];
1184 -> 104;

1185 [label="EVAL with clause\neq(X149, X149).\nand substitution\nT51 -> 0\nX149 -> 0\nT52 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
104 -> 1185 [arrowhead = none ];
1185 -> 105;

1186 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
104 -> 1186 [arrowhead = none ];
1186 -> 106;

1187 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
105 -> 1187 [arrowhead = none ];
1187 -> 107;

1188 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
108 -> 1188 [arrowhead = none ];
1188 -> 110;

1189 [label="EVAL with clause\nquot(s(X285), X286, X287, X288) :- ','(p(X286, X289), quot(X285, X289, X287, X288)).\nand substitution\nX285 -> T80\nT44 -> s(T80)\nT48 -> T81\nX286 -> T81\nX287 -> s(s(T81))\nT47 -> T83\nX288 -> T83\nT82 -> T83", fontsize=14, style = filled, fillcolor = lightblue];
109 -> 1189 [arrowhead = none ];
1189 -> 198;

1190 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
109 -> 1190 [arrowhead = none ];
1190 -> 199;

1191 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
110 -> 1191 [arrowhead = none ];
1191 -> 111;

1192 [label="EVAL with clause\neq(X159, X159).\nand substitution\nX159 -> s(s(0))\nX156 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
111 -> 1192 [arrowhead = none ];
1192 -> 112;

1193 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
112 -> 1193 [arrowhead = none ];
1193 -> 113;

1194 [label="EVAL with clause\np(0, 0).\nand substitution\nT55 -> 0\nX157 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
113 -> 1194 [arrowhead = none ];
1194 -> 114;

1195 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
113 -> 1195 [arrowhead = none ];
1195 -> 115;

1196 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
114 -> 1196 [arrowhead = none ];
1196 -> 116;

1197 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
114 -> 1197 [arrowhead = none ];
1197 -> 117;

1198 [label="EVAL with clause\np(s(X280), X280).\nand substitution\nX280 -> T79\nT55 -> s(T79)\nX157 -> T79\nT78 -> T79", fontsize=14, style = filled, fillcolor = lightblue];
115 -> 1198 [arrowhead = none ];
1198 -> 196;

1199 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
115 -> 1199 [arrowhead = none ];
1199 -> 197;

1200 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
116 -> 1200 [arrowhead = none ];
1200 -> 118;

1201 [label="EVAL with clause\np(s(X219), X219).\nand substitution\nX219 -> T60\nT55 -> s(T60)\nX157 -> T60\nT59 -> T60", fontsize=14, style = filled, fillcolor = lightblue];
117 -> 1201 [arrowhead = none ];
1201 -> 155;

1202 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
117 -> 1202 [arrowhead = none ];
1202 -> 156;

1203 [label="EVAL with clause\nquot(0, s(X163), s(X164), X165) :- ','(!, eq(X165, 0)).\nand substitution\nT53 -> 0\nX163 -> s(0)\nX164 -> s(0)\nX165 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
118 -> 1203 [arrowhead = none ];
1203 -> 119;

1204 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
118 -> 1204 [arrowhead = none ];
1204 -> 120;

1205 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
119 -> 1205 [arrowhead = none ];
1205 -> 121;

1206 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
120 -> 1206 [arrowhead = none ];
1206 -> 125;

1207 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
121 -> 1207 [arrowhead = none ];
1207 -> 122;

1208 [label="EVAL with clause\neq(X167, X167).\nand substitution\nX167 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
122 -> 1208 [arrowhead = none ];
1208 -> 123;

1209 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
123 -> 1209 [arrowhead = none ];
1209 -> 124;

1210 [label="EVAL with clause\nquot(s(X175), X176, X177, X178) :- ','(p(X176, X179), quot(X175, X179, X177, X178)).\nand substitution\nX175 -> T56\nT53 -> s(T56)\nX176 -> s(s(0))\nX177 -> s(s(0))\nX178 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
125 -> 1210 [arrowhead = none ];
1210 -> 126;

1211 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
125 -> 1211 [arrowhead = none ];
1211 -> 127;

1212 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
126 -> 1212 [arrowhead = none ];
1212 -> 128;

1213 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
128 -> 1213 [arrowhead = none ];
1213 -> 129;

1214 [label="EVAL with clause\np(s(X181), X181).\nand substitution\nX181 -> s(0)\nX179 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
129 -> 1214 [arrowhead = none ];
1214 -> 130;

1215 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
130 -> 1215 [arrowhead = none ];
1215 -> 131;

1216 [label="EVAL with clause\nquot(0, s(X185), s(X186), X187) :- ','(!, eq(X187, 0)).\nand substitution\nT56 -> 0\nX185 -> 0\nX186 -> s(0)\nX187 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
131 -> 1216 [arrowhead = none ];
1216 -> 132;

1217 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
131 -> 1217 [arrowhead = none ];
1217 -> 133;

1218 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
132 -> 1218 [arrowhead = none ];
1218 -> 134;

1219 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
133 -> 1219 [arrowhead = none ];
1219 -> 138;

1220 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
134 -> 1220 [arrowhead = none ];
1220 -> 135;

1221 [label="EVAL with clause\neq(X189, X189).\nand substitution\nX189 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
135 -> 1221 [arrowhead = none ];
1221 -> 136;

1222 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
136 -> 1222 [arrowhead = none ];
1222 -> 137;

1223 [label="EVAL with clause\nquot(s(X197), X198, X199, X200) :- ','(p(X198, X201), quot(X197, X201, X199, X200)).\nand substitution\nX197 -> T57\nT56 -> s(T57)\nX198 -> s(0)\nX199 -> s(s(0))\nX200 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
138 -> 1223 [arrowhead = none ];
1223 -> 139;

1224 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
138 -> 1224 [arrowhead = none ];
1224 -> 140;

1225 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
139 -> 1225 [arrowhead = none ];
1225 -> 141;

1226 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
141 -> 1226 [arrowhead = none ];
1226 -> 142;

1227 [label="EVAL with clause\np(s(X203), X203).\nand substitution\nX203 -> 0\nX201 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
142 -> 1227 [arrowhead = none ];
1227 -> 143;

1228 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
143 -> 1228 [arrowhead = none ];
1228 -> 144;

1229 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
144 -> 1229 [arrowhead = none ];
1229 -> 145;

1230 [label="EVAL with clause\nquot(X210, 0, X211, X212) :- ','(!, ','(eq(X211, s(X213)), ','(p(X212, X214), quot(X210, X211, X211, X214)))).\nand substitution\nT57 -> T58\nX210 -> T58\nX211 -> s(s(0))\nX212 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
145 -> 1230 [arrowhead = none ];
1230 -> 146;

1231 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
146 -> 1231 [arrowhead = none ];
1231 -> 147;

1232 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
147 -> 1232 [arrowhead = none ];
1232 -> 148;

1233 [label="EVAL with clause\neq(X216, X216).\nand substitution\nX216 -> s(s(0))\nX213 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
148 -> 1233 [arrowhead = none ];
1233 -> 149;

1234 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
149 -> 1234 [arrowhead = none ];
1234 -> 150;

1235 [label="EVAL with clause\np(0, 0).\nand substitution\nX214 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
150 -> 1235 [arrowhead = none ];
1235 -> 151;

1236 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
151 -> 1236 [arrowhead = none ];
1236 -> 152;

1237 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
151 -> 1237 [arrowhead = none ];
1237 -> 153;

1238 [label="INSTANCE with matching:\nT53 -> T58", fontsize=14, style = filled, fillcolor = lightgrey];
152 -> 1238 [arrowhead = none , style=dashed];
1238 -> 116[style=dashed];

1239 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
153 -> 1239 [arrowhead = none ];
1239 -> 154;

1240 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
155 -> 1240 [arrowhead = none ];
1240 -> 157;

1241 [label="EVAL with clause\nquot(0, s(X223), s(X224), X225) :- ','(!, eq(X225, 0)).\nand substitution\nT53 -> 0\nX223 -> s(0)\nX224 -> s(0)\nT60 -> T62\nX225 -> T62\nT61 -> T62", fontsize=14, style = filled, fillcolor = lightblue];
157 -> 1241 [arrowhead = none ];
1241 -> 158;

1242 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
157 -> 1242 [arrowhead = none ];
1242 -> 159;

1243 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
158 -> 1243 [arrowhead = none ];
1243 -> 160;

1244 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
159 -> 1244 [arrowhead = none ];
1244 -> 165;

1245 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
160 -> 1245 [arrowhead = none ];
1245 -> 161;

1246 [label="EVAL with clause\neq(X227, X227).\nand substitution\nT62 -> 0\nX227 -> 0\nT63 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
161 -> 1246 [arrowhead = none ];
1246 -> 162;

1247 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
161 -> 1247 [arrowhead = none ];
1247 -> 163;

1248 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
162 -> 1248 [arrowhead = none ];
1248 -> 164;

1249 [label="EVAL with clause\nquot(s(X235), X236, X237, X238) :- ','(p(X236, X239), quot(X235, X239, X237, X238)).\nand substitution\nX235 -> T64\nT53 -> s(T64)\nX236 -> s(s(0))\nX237 -> s(s(0))\nT60 -> T66\nX238 -> T66\nT65 -> T66", fontsize=14, style = filled, fillcolor = lightblue];
165 -> 1249 [arrowhead = none ];
1249 -> 166;

1250 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
165 -> 1250 [arrowhead = none ];
1250 -> 167;

1251 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
166 -> 1251 [arrowhead = none ];
1251 -> 168;

1252 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
168 -> 1252 [arrowhead = none ];
1252 -> 169;

1253 [label="EVAL with clause\np(s(X241), X241).\nand substitution\nX241 -> s(0)\nX239 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
169 -> 1253 [arrowhead = none ];
1253 -> 170;

1254 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
170 -> 1254 [arrowhead = none ];
1254 -> 171;

1255 [label="EVAL with clause\nquot(0, s(X245), s(X246), X247) :- ','(!, eq(X247, 0)).\nand substitution\nT64 -> 0\nX245 -> 0\nX246 -> s(0)\nT66 -> T68\nX247 -> T68\nT67 -> T68", fontsize=14, style = filled, fillcolor = lightblue];
171 -> 1255 [arrowhead = none ];
1255 -> 172;

1256 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
171 -> 1256 [arrowhead = none ];
1256 -> 173;

1257 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
172 -> 1257 [arrowhead = none ];
1257 -> 174;

1258 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
173 -> 1258 [arrowhead = none ];
1258 -> 179;

1259 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
174 -> 1259 [arrowhead = none ];
1259 -> 175;

1260 [label="EVAL with clause\neq(X249, X249).\nand substitution\nT68 -> 0\nX249 -> 0\nT69 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
175 -> 1260 [arrowhead = none ];
1260 -> 176;

1261 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
175 -> 1261 [arrowhead = none ];
1261 -> 177;

1262 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
176 -> 1262 [arrowhead = none ];
1262 -> 178;

1263 [label="EVAL with clause\nquot(s(X257), X258, X259, X260) :- ','(p(X258, X261), quot(X257, X261, X259, X260)).\nand substitution\nX257 -> T70\nT64 -> s(T70)\nX258 -> s(0)\nX259 -> s(s(0))\nT66 -> T72\nX260 -> T72\nT71 -> T72", fontsize=14, style = filled, fillcolor = lightblue];
179 -> 1263 [arrowhead = none ];
1263 -> 180;

1264 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
179 -> 1264 [arrowhead = none ];
1264 -> 181;

1265 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
180 -> 1265 [arrowhead = none ];
1265 -> 182;

1266 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
182 -> 1266 [arrowhead = none ];
1266 -> 183;

1267 [label="EVAL with clause\np(s(X263), X263).\nand substitution\nX263 -> 0\nX261 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
183 -> 1267 [arrowhead = none ];
1267 -> 184;

1268 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
184 -> 1268 [arrowhead = none ];
1268 -> 185;

1269 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
185 -> 1269 [arrowhead = none ];
1269 -> 186;

1270 [label="EVAL with clause\nquot(X270, 0, X271, X272) :- ','(!, ','(eq(X271, s(X273)), ','(p(X272, X274), quot(X270, X271, X271, X274)))).\nand substitution\nT70 -> T73\nX270 -> T73\nX271 -> s(s(0))\nT72 -> T75\nX272 -> T75\nT74 -> T75", fontsize=14, style = filled, fillcolor = lightblue];
186 -> 1270 [arrowhead = none ];
1270 -> 187;

1271 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
187 -> 1271 [arrowhead = none ];
1271 -> 188;

1272 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
188 -> 1272 [arrowhead = none ];
1272 -> 189;

1273 [label="EVAL with clause\neq(X276, X276).\nand substitution\nX276 -> s(s(0))\nX273 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
189 -> 1273 [arrowhead = none ];
1273 -> 190;

1274 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
190 -> 1274 [arrowhead = none ];
1274 -> 191;

1275 [label="EVAL with clause\np(0, 0).\nand substitution\nT75 -> 0\nX274 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
191 -> 1275 [arrowhead = none ];
1275 -> 192;

1276 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
191 -> 1276 [arrowhead = none ];
1276 -> 193;

1277 [label="INSTANCE with matching:\nT53 -> T73\nT55 -> T75\nX157 -> X274", fontsize=14, style = filled, fillcolor = lightgrey];
192 -> 1277 [arrowhead = none , style=dashed];
1277 -> 114[style=dashed];

1278 [label="EVAL with clause\np(s(X278), X278).\nand substitution\nX278 -> T77\nT75 -> s(T77)\nX274 -> T77\nT76 -> T77", fontsize=14, style = filled, fillcolor = lightblue];
193 -> 1278 [arrowhead = none ];
1278 -> 194;

1279 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
193 -> 1279 [arrowhead = none ];
1279 -> 195;

1280 [label="INSTANCE with matching:\nT53 -> T73\nT60 -> T77", fontsize=14, style = filled, fillcolor = lightgrey];
194 -> 1280 [arrowhead = none , style=dashed];
1280 -> 155[style=dashed];

1281 [label="INSTANCE with matching:\nT60 -> T79", fontsize=14, style = filled, fillcolor = lightgrey];
196 -> 1281 [arrowhead = none , style=dashed];
1281 -> 155[style=dashed];

1282 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
198 -> 1282 [arrowhead = none ];
1282 -> 200;

1283 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T80), T81, s(s(T81)), T47), quot(X153, 0, X154, X155))", fontsize=14, style = filled, fillcolor = white];
200 -> 1283 [arrowhead = none ];
1283 -> 201;

1284 [label="EVAL with clause\np(s(X291), X291).\nand substitution\nX291 -> T84\nT81 -> s(T84)\nX289 -> T84", fontsize=14, style = filled, fillcolor = lightblue];
201 -> 1284 [arrowhead = none ];
1284 -> 202;

1285 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
201 -> 1285 [arrowhead = none ];
1285 -> 203;

1286 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
202 -> 1286 [arrowhead = none ];
1286 -> 204;

1287 [label="EVAL with clause\nquot(0, s(X295), s(X296), X297) :- ','(!, eq(X297, 0)).\nand substitution\nT80 -> 0\nX295 -> T85\nT84 -> s(T85)\nX296 -> s(s(s(T85)))\nT83 -> T87\nX297 -> T87\nT86 -> T87", fontsize=14, style = filled, fillcolor = lightblue];
204 -> 1287 [arrowhead = none ];
1287 -> 205;

1288 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
204 -> 1288 [arrowhead = none ];
1288 -> 206;

1289 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
205 -> 1289 [arrowhead = none ];
1289 -> 207;

1290 [label="EVAL with clause\nquot(X303, 0, X304, X305) :- ','(!, ','(eq(X304, s(X306)), ','(p(X305, X307), quot(X303, X304, X304, X307)))).\nand substitution\nT80 -> T89\nX303 -> T89\nT84 -> 0\nX304 -> s(s(s(0)))\nT83 -> T91\nX305 -> T91\nT90 -> T91", fontsize=14, style = filled, fillcolor = lightblue];
206 -> 1290 [arrowhead = none ];
1290 -> 212;

1291 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
206 -> 1291 [arrowhead = none ];
1291 -> 213;

1292 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
207 -> 1292 [arrowhead = none ];
1292 -> 208;

1293 [label="EVAL with clause\neq(X299, X299).\nand substitution\nT87 -> 0\nX299 -> 0\nT88 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
208 -> 1293 [arrowhead = none ];
1293 -> 209;

1294 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
208 -> 1294 [arrowhead = none ];
1294 -> 210;

1295 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
209 -> 1295 [arrowhead = none ];
1295 -> 211;

1296 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
212 -> 1296 [arrowhead = none ];
1296 -> 214;

1297 [label="EVAL with clause\nquot(s(X479), X480, X481, X482) :- ','(p(X480, X483), quot(X479, X483, X481, X482)).\nand substitution\nX479 -> T123\nT80 -> s(T123)\nT84 -> T124\nX480 -> T124\nX481 -> s(s(s(T124)))\nT83 -> T126\nX482 -> T126\nT125 -> T126", fontsize=14, style = filled, fillcolor = lightblue];
213 -> 1297 [arrowhead = none ];
1297 -> 329;

1298 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
213 -> 1298 [arrowhead = none ];
1298 -> 330;

1299 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
214 -> 1299 [arrowhead = none ];
1299 -> 215;

1300 [label="EVAL with clause\neq(X309, X309).\nand substitution\nX309 -> s(s(s(0)))\nX306 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
215 -> 1300 [arrowhead = none ];
1300 -> 216;

1301 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
216 -> 1301 [arrowhead = none ];
1301 -> 217;

1302 [label="EVAL with clause\np(0, 0).\nand substitution\nT91 -> 0\nX307 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
217 -> 1302 [arrowhead = none ];
1302 -> 218;

1303 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
217 -> 1303 [arrowhead = none ];
1303 -> 219;

1304 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
218 -> 1304 [arrowhead = none ];
1304 -> 220;

1305 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
218 -> 1305 [arrowhead = none ];
1305 -> 221;

1306 [label="EVAL with clause\np(s(X474), X474).\nand substitution\nX474 -> T122\nT91 -> s(T122)\nX307 -> T122\nT121 -> T122", fontsize=14, style = filled, fillcolor = lightblue];
219 -> 1306 [arrowhead = none ];
1306 -> 327;

1307 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
219 -> 1307 [arrowhead = none ];
1307 -> 328;

1308 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
220 -> 1308 [arrowhead = none ];
1308 -> 222;

1309 [label="EVAL with clause\np(s(X391), X391).\nand substitution\nX391 -> T97\nT91 -> s(T97)\nX307 -> T97\nT96 -> T97", fontsize=14, style = filled, fillcolor = lightblue];
221 -> 1309 [arrowhead = none ];
1309 -> 272;

1310 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
221 -> 1310 [arrowhead = none ];
1310 -> 273;

1311 [label="EVAL with clause\nquot(0, s(X313), s(X314), X315) :- ','(!, eq(X315, 0)).\nand substitution\nT89 -> 0\nX313 -> s(s(0))\nX314 -> s(s(0))\nX315 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
222 -> 1311 [arrowhead = none ];
1311 -> 223;

1312 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
222 -> 1312 [arrowhead = none ];
1312 -> 224;

1313 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
223 -> 1313 [arrowhead = none ];
1313 -> 225;

1314 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
224 -> 1314 [arrowhead = none ];
1314 -> 229;

1315 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
225 -> 1315 [arrowhead = none ];
1315 -> 226;

1316 [label="EVAL with clause\neq(X317, X317).\nand substitution\nX317 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
226 -> 1316 [arrowhead = none ];
1316 -> 227;

1317 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
227 -> 1317 [arrowhead = none ];
1317 -> 228;

1318 [label="EVAL with clause\nquot(s(X325), X326, X327, X328) :- ','(p(X326, X329), quot(X325, X329, X327, X328)).\nand substitution\nX325 -> T92\nT89 -> s(T92)\nX326 -> s(s(s(0)))\nX327 -> s(s(s(0)))\nX328 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
229 -> 1318 [arrowhead = none ];
1318 -> 230;

1319 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
229 -> 1319 [arrowhead = none ];
1319 -> 231;

1320 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
230 -> 1320 [arrowhead = none ];
1320 -> 232;

1321 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
232 -> 1321 [arrowhead = none ];
1321 -> 233;

1322 [label="EVAL with clause\np(s(X331), X331).\nand substitution\nX331 -> s(s(0))\nX329 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
233 -> 1322 [arrowhead = none ];
1322 -> 234;

1323 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
234 -> 1323 [arrowhead = none ];
1323 -> 235;

1324 [label="EVAL with clause\nquot(0, s(X335), s(X336), X337) :- ','(!, eq(X337, 0)).\nand substitution\nT92 -> 0\nX335 -> s(0)\nX336 -> s(s(0))\nX337 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
235 -> 1324 [arrowhead = none ];
1324 -> 236;

1325 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
235 -> 1325 [arrowhead = none ];
1325 -> 237;

1326 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
236 -> 1326 [arrowhead = none ];
1326 -> 238;

1327 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
237 -> 1327 [arrowhead = none ];
1327 -> 242;

1328 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
238 -> 1328 [arrowhead = none ];
1328 -> 239;

1329 [label="EVAL with clause\neq(X339, X339).\nand substitution\nX339 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
239 -> 1329 [arrowhead = none ];
1329 -> 240;

1330 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
240 -> 1330 [arrowhead = none ];
1330 -> 241;

1331 [label="EVAL with clause\nquot(s(X347), X348, X349, X350) :- ','(p(X348, X351), quot(X347, X351, X349, X350)).\nand substitution\nX347 -> T93\nT92 -> s(T93)\nX348 -> s(s(0))\nX349 -> s(s(s(0)))\nX350 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
242 -> 1331 [arrowhead = none ];
1331 -> 243;

1332 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
242 -> 1332 [arrowhead = none ];
1332 -> 244;

1333 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
243 -> 1333 [arrowhead = none ];
1333 -> 245;

1334 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
245 -> 1334 [arrowhead = none ];
1334 -> 246;

1335 [label="EVAL with clause\np(s(X353), X353).\nand substitution\nX353 -> s(0)\nX351 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
246 -> 1335 [arrowhead = none ];
1335 -> 247;

1336 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
247 -> 1336 [arrowhead = none ];
1336 -> 248;

1337 [label="EVAL with clause\nquot(0, s(X357), s(X358), X359) :- ','(!, eq(X359, 0)).\nand substitution\nT93 -> 0\nX357 -> 0\nX358 -> s(s(0))\nX359 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
248 -> 1337 [arrowhead = none ];
1337 -> 249;

1338 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
248 -> 1338 [arrowhead = none ];
1338 -> 250;

1339 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
249 -> 1339 [arrowhead = none ];
1339 -> 251;

1340 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
250 -> 1340 [arrowhead = none ];
1340 -> 255;

1341 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
251 -> 1341 [arrowhead = none ];
1341 -> 252;

1342 [label="EVAL with clause\neq(X361, X361).\nand substitution\nX361 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
252 -> 1342 [arrowhead = none ];
1342 -> 253;

1343 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
253 -> 1343 [arrowhead = none ];
1343 -> 254;

1344 [label="EVAL with clause\nquot(s(X369), X370, X371, X372) :- ','(p(X370, X373), quot(X369, X373, X371, X372)).\nand substitution\nX369 -> T94\nT93 -> s(T94)\nX370 -> s(0)\nX371 -> s(s(s(0)))\nX372 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
255 -> 1344 [arrowhead = none ];
1344 -> 256;

1345 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
255 -> 1345 [arrowhead = none ];
1345 -> 257;

1346 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
256 -> 1346 [arrowhead = none ];
1346 -> 258;

1347 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
258 -> 1347 [arrowhead = none ];
1347 -> 259;

1348 [label="EVAL with clause\np(s(X375), X375).\nand substitution\nX375 -> 0\nX373 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
259 -> 1348 [arrowhead = none ];
1348 -> 260;

1349 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
260 -> 1349 [arrowhead = none ];
1349 -> 261;

1350 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
261 -> 1350 [arrowhead = none ];
1350 -> 262;

1351 [label="EVAL with clause\nquot(X382, 0, X383, X384) :- ','(!, ','(eq(X383, s(X385)), ','(p(X384, X386), quot(X382, X383, X383, X386)))).\nand substitution\nT94 -> T95\nX382 -> T95\nX383 -> s(s(s(0)))\nX384 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
262 -> 1351 [arrowhead = none ];
1351 -> 263;

1352 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
263 -> 1352 [arrowhead = none ];
1352 -> 264;

1353 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
264 -> 1353 [arrowhead = none ];
1353 -> 265;

1354 [label="EVAL with clause\neq(X388, X388).\nand substitution\nX388 -> s(s(s(0)))\nX385 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
265 -> 1354 [arrowhead = none ];
1354 -> 266;

1355 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
266 -> 1355 [arrowhead = none ];
1355 -> 267;

1356 [label="EVAL with clause\np(0, 0).\nand substitution\nX386 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
267 -> 1356 [arrowhead = none ];
1356 -> 268;

1357 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
268 -> 1357 [arrowhead = none ];
1357 -> 269;

1358 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
268 -> 1358 [arrowhead = none ];
1358 -> 270;

1359 [label="INSTANCE with matching:\nT89 -> T95", fontsize=14, style = filled, fillcolor = lightgrey];
269 -> 1359 [arrowhead = none , style=dashed];
1359 -> 220[style=dashed];

1360 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
270 -> 1360 [arrowhead = none ];
1360 -> 271;

1361 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
272 -> 1361 [arrowhead = none ];
1361 -> 274;

1362 [label="EVAL with clause\nquot(0, s(X395), s(X396), X397) :- ','(!, eq(X397, 0)).\nand substitution\nT89 -> 0\nX395 -> s(s(0))\nX396 -> s(s(0))\nT97 -> T99\nX397 -> T99\nT98 -> T99", fontsize=14, style = filled, fillcolor = lightblue];
274 -> 1362 [arrowhead = none ];
1362 -> 275;

1363 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
274 -> 1363 [arrowhead = none ];
1363 -> 276;

1364 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
275 -> 1364 [arrowhead = none ];
1364 -> 277;

1365 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
276 -> 1365 [arrowhead = none ];
1365 -> 282;

1366 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
277 -> 1366 [arrowhead = none ];
1366 -> 278;

1367 [label="EVAL with clause\neq(X399, X399).\nand substitution\nT99 -> 0\nX399 -> 0\nT100 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
278 -> 1367 [arrowhead = none ];
1367 -> 279;

1368 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
278 -> 1368 [arrowhead = none ];
1368 -> 280;

1369 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
279 -> 1369 [arrowhead = none ];
1369 -> 281;

1370 [label="EVAL with clause\nquot(s(X407), X408, X409, X410) :- ','(p(X408, X411), quot(X407, X411, X409, X410)).\nand substitution\nX407 -> T101\nT89 -> s(T101)\nX408 -> s(s(s(0)))\nX409 -> s(s(s(0)))\nT97 -> T103\nX410 -> T103\nT102 -> T103", fontsize=14, style = filled, fillcolor = lightblue];
282 -> 1370 [arrowhead = none ];
1370 -> 283;

1371 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
282 -> 1371 [arrowhead = none ];
1371 -> 284;

1372 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
283 -> 1372 [arrowhead = none ];
1372 -> 285;

1373 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
285 -> 1373 [arrowhead = none ];
1373 -> 286;

1374 [label="EVAL with clause\np(s(X413), X413).\nand substitution\nX413 -> s(s(0))\nX411 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
286 -> 1374 [arrowhead = none ];
1374 -> 287;

1375 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
287 -> 1375 [arrowhead = none ];
1375 -> 288;

1376 [label="EVAL with clause\nquot(0, s(X417), s(X418), X419) :- ','(!, eq(X419, 0)).\nand substitution\nT101 -> 0\nX417 -> s(0)\nX418 -> s(s(0))\nT103 -> T105\nX419 -> T105\nT104 -> T105", fontsize=14, style = filled, fillcolor = lightblue];
288 -> 1376 [arrowhead = none ];
1376 -> 289;

1377 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
288 -> 1377 [arrowhead = none ];
1377 -> 290;

1378 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
289 -> 1378 [arrowhead = none ];
1378 -> 291;

1379 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
290 -> 1379 [arrowhead = none ];
1379 -> 296;

1380 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
291 -> 1380 [arrowhead = none ];
1380 -> 292;

1381 [label="EVAL with clause\neq(X421, X421).\nand substitution\nT105 -> 0\nX421 -> 0\nT106 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
292 -> 1381 [arrowhead = none ];
1381 -> 293;

1382 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
292 -> 1382 [arrowhead = none ];
1382 -> 294;

1383 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
293 -> 1383 [arrowhead = none ];
1383 -> 295;

1384 [label="EVAL with clause\nquot(s(X429), X430, X431, X432) :- ','(p(X430, X433), quot(X429, X433, X431, X432)).\nand substitution\nX429 -> T107\nT101 -> s(T107)\nX430 -> s(s(0))\nX431 -> s(s(s(0)))\nT103 -> T109\nX432 -> T109\nT108 -> T109", fontsize=14, style = filled, fillcolor = lightblue];
296 -> 1384 [arrowhead = none ];
1384 -> 297;

1385 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
296 -> 1385 [arrowhead = none ];
1385 -> 298;

1386 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
297 -> 1386 [arrowhead = none ];
1386 -> 299;

1387 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
299 -> 1387 [arrowhead = none ];
1387 -> 300;

1388 [label="EVAL with clause\np(s(X435), X435).\nand substitution\nX435 -> s(0)\nX433 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
300 -> 1388 [arrowhead = none ];
1388 -> 301;

1389 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
301 -> 1389 [arrowhead = none ];
1389 -> 302;

1390 [label="EVAL with clause\nquot(0, s(X439), s(X440), X441) :- ','(!, eq(X441, 0)).\nand substitution\nT107 -> 0\nX439 -> 0\nX440 -> s(s(0))\nT109 -> T111\nX441 -> T111\nT110 -> T111", fontsize=14, style = filled, fillcolor = lightblue];
302 -> 1390 [arrowhead = none ];
1390 -> 303;

1391 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
302 -> 1391 [arrowhead = none ];
1391 -> 304;

1392 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
303 -> 1392 [arrowhead = none ];
1392 -> 305;

1393 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
304 -> 1393 [arrowhead = none ];
1393 -> 310;

1394 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
305 -> 1394 [arrowhead = none ];
1394 -> 306;

1395 [label="EVAL with clause\neq(X443, X443).\nand substitution\nT111 -> 0\nX443 -> 0\nT112 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
306 -> 1395 [arrowhead = none ];
1395 -> 307;

1396 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
306 -> 1396 [arrowhead = none ];
1396 -> 308;

1397 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
307 -> 1397 [arrowhead = none ];
1397 -> 309;

1398 [label="EVAL with clause\nquot(s(X451), X452, X453, X454) :- ','(p(X452, X455), quot(X451, X455, X453, X454)).\nand substitution\nX451 -> T113\nT107 -> s(T113)\nX452 -> s(0)\nX453 -> s(s(s(0)))\nT109 -> T115\nX454 -> T115\nT114 -> T115", fontsize=14, style = filled, fillcolor = lightblue];
310 -> 1398 [arrowhead = none ];
1398 -> 311;

1399 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
310 -> 1399 [arrowhead = none ];
1399 -> 312;

1400 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
311 -> 1400 [arrowhead = none ];
1400 -> 313;

1401 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
313 -> 1401 [arrowhead = none ];
1401 -> 314;

1402 [label="EVAL with clause\np(s(X457), X457).\nand substitution\nX457 -> 0\nX455 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
314 -> 1402 [arrowhead = none ];
1402 -> 315;

1403 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
315 -> 1403 [arrowhead = none ];
1403 -> 316;

1404 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
316 -> 1404 [arrowhead = none ];
1404 -> 317;

1405 [label="EVAL with clause\nquot(X464, 0, X465, X466) :- ','(!, ','(eq(X465, s(X467)), ','(p(X466, X468), quot(X464, X465, X465, X468)))).\nand substitution\nT113 -> T116\nX464 -> T116\nX465 -> s(s(s(0)))\nT115 -> T118\nX466 -> T118\nT117 -> T118", fontsize=14, style = filled, fillcolor = lightblue];
317 -> 1405 [arrowhead = none ];
1405 -> 318;

1406 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
318 -> 1406 [arrowhead = none ];
1406 -> 319;

1407 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
319 -> 1407 [arrowhead = none ];
1407 -> 320;

1408 [label="EVAL with clause\neq(X470, X470).\nand substitution\nX470 -> s(s(s(0)))\nX467 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
320 -> 1408 [arrowhead = none ];
1408 -> 321;

1409 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
321 -> 1409 [arrowhead = none ];
1409 -> 322;

1410 [label="EVAL with clause\np(0, 0).\nand substitution\nT118 -> 0\nX468 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
322 -> 1410 [arrowhead = none ];
1410 -> 323;

1411 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
322 -> 1411 [arrowhead = none ];
1411 -> 324;

1412 [label="INSTANCE with matching:\nT89 -> T116\nT91 -> T118\nX307 -> X468", fontsize=14, style = filled, fillcolor = lightgrey];
323 -> 1412 [arrowhead = none , style=dashed];
1412 -> 218[style=dashed];

1413 [label="EVAL with clause\np(s(X472), X472).\nand substitution\nX472 -> T120\nT118 -> s(T120)\nX468 -> T120\nT119 -> T120", fontsize=14, style = filled, fillcolor = lightblue];
324 -> 1413 [arrowhead = none ];
1413 -> 325;

1414 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
324 -> 1414 [arrowhead = none ];
1414 -> 326;

1415 [label="INSTANCE with matching:\nT89 -> T116\nT97 -> T120", fontsize=14, style = filled, fillcolor = lightgrey];
325 -> 1415 [arrowhead = none , style=dashed];
1415 -> 272[style=dashed];

1416 [label="INSTANCE with matching:\nT97 -> T122", fontsize=14, style = filled, fillcolor = lightgrey];
327 -> 1416 [arrowhead = none , style=dashed];
1416 -> 272[style=dashed];

1417 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
329 -> 1417 [arrowhead = none ];
1417 -> 331;

1418 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T123), T124, s(s(s(T124))), T83), quot(X303, 0, X304, X305))", fontsize=14, style = filled, fillcolor = white];
331 -> 1418 [arrowhead = none ];
1418 -> 332;

1419 [label="EVAL with clause\np(s(X485), X485).\nand substitution\nX485 -> T127\nT124 -> s(T127)\nX483 -> T127", fontsize=14, style = filled, fillcolor = lightblue];
332 -> 1419 [arrowhead = none ];
1419 -> 333;

1420 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
332 -> 1420 [arrowhead = none ];
1420 -> 334;

1421 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
333 -> 1421 [arrowhead = none ];
1421 -> 335;

1422 [label="EVAL with clause\nquot(0, s(X489), s(X490), X491) :- ','(!, eq(X491, 0)).\nand substitution\nT123 -> 0\nX489 -> T128\nT127 -> s(T128)\nX490 -> s(s(s(s(T128))))\nT126 -> T130\nX491 -> T130\nT129 -> T130", fontsize=14, style = filled, fillcolor = lightblue];
335 -> 1422 [arrowhead = none ];
1422 -> 336;

1423 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
335 -> 1423 [arrowhead = none ];
1423 -> 337;

1424 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
336 -> 1424 [arrowhead = none ];
1424 -> 338;

1425 [label="EVAL with clause\nquot(X497, 0, X498, X499) :- ','(!, ','(eq(X498, s(X500)), ','(p(X499, X501), quot(X497, X498, X498, X501)))).\nand substitution\nT123 -> T132\nX497 -> T132\nT127 -> 0\nX498 -> s(s(s(s(0))))\nT126 -> T134\nX499 -> T134\nT133 -> T134", fontsize=14, style = filled, fillcolor = lightblue];
337 -> 1425 [arrowhead = none ];
1425 -> 343;

1426 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
337 -> 1426 [arrowhead = none ];
1426 -> 344;

1427 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
338 -> 1427 [arrowhead = none ];
1427 -> 339;

1428 [label="EVAL with clause\neq(X493, X493).\nand substitution\nT130 -> 0\nX493 -> 0\nT131 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
339 -> 1428 [arrowhead = none ];
1428 -> 340;

1429 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
339 -> 1429 [arrowhead = none ];
1429 -> 341;

1430 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
340 -> 1430 [arrowhead = none ];
1430 -> 342;

1431 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
343 -> 1431 [arrowhead = none ];
1431 -> 345;

1432 [label="EVAL with clause\nquot(s(X717), X718, X719, X720) :- ','(p(X718, X721), quot(X717, X721, X719, X720)).\nand substitution\nX717 -> T173\nT123 -> s(T173)\nT127 -> T174\nX718 -> T174\nX719 -> s(s(s(s(T174))))\nT126 -> T176\nX720 -> T176\nT175 -> T176", fontsize=14, style = filled, fillcolor = lightblue];
344 -> 1432 [arrowhead = none ];
1432 -> 487;

1433 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
344 -> 1433 [arrowhead = none ];
1433 -> 488;

1434 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
345 -> 1434 [arrowhead = none ];
1434 -> 346;

1435 [label="EVAL with clause\neq(X503, X503).\nand substitution\nX503 -> s(s(s(s(0))))\nX500 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
346 -> 1435 [arrowhead = none ];
1435 -> 347;

1436 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
347 -> 1436 [arrowhead = none ];
1436 -> 348;

1437 [label="EVAL with clause\np(0, 0).\nand substitution\nT134 -> 0\nX501 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
348 -> 1437 [arrowhead = none ];
1437 -> 349;

1438 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
348 -> 1438 [arrowhead = none ];
1438 -> 350;

1439 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
349 -> 1439 [arrowhead = none ];
1439 -> 351;

1440 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
349 -> 1440 [arrowhead = none ];
1440 -> 352;

1441 [label="EVAL with clause\np(s(X712), X712).\nand substitution\nX712 -> T172\nT134 -> s(T172)\nX501 -> T172\nT171 -> T172", fontsize=14, style = filled, fillcolor = lightblue];
350 -> 1441 [arrowhead = none ];
1441 -> 485;

1442 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
350 -> 1442 [arrowhead = none ];
1442 -> 486;

1443 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
351 -> 1443 [arrowhead = none ];
1443 -> 353;

1444 [label="EVAL with clause\np(s(X607), X607).\nand substitution\nX607 -> T141\nT134 -> s(T141)\nX501 -> T141\nT140 -> T141", fontsize=14, style = filled, fillcolor = lightblue];
352 -> 1444 [arrowhead = none ];
1444 -> 416;

1445 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
352 -> 1445 [arrowhead = none ];
1445 -> 417;

1446 [label="EVAL with clause\nquot(0, s(X507), s(X508), X509) :- ','(!, eq(X509, 0)).\nand substitution\nT132 -> 0\nX507 -> s(s(s(0)))\nX508 -> s(s(s(0)))\nX509 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
353 -> 1446 [arrowhead = none ];
1446 -> 354;

1447 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
353 -> 1447 [arrowhead = none ];
1447 -> 355;

1448 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
354 -> 1448 [arrowhead = none ];
1448 -> 356;

1449 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
355 -> 1449 [arrowhead = none ];
1449 -> 360;

1450 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
356 -> 1450 [arrowhead = none ];
1450 -> 357;

1451 [label="EVAL with clause\neq(X511, X511).\nand substitution\nX511 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
357 -> 1451 [arrowhead = none ];
1451 -> 358;

1452 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
358 -> 1452 [arrowhead = none ];
1452 -> 359;

1453 [label="EVAL with clause\nquot(s(X519), X520, X521, X522) :- ','(p(X520, X523), quot(X519, X523, X521, X522)).\nand substitution\nX519 -> T135\nT132 -> s(T135)\nX520 -> s(s(s(s(0))))\nX521 -> s(s(s(s(0))))\nX522 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
360 -> 1453 [arrowhead = none ];
1453 -> 361;

1454 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
360 -> 1454 [arrowhead = none ];
1454 -> 362;

1455 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
361 -> 1455 [arrowhead = none ];
1455 -> 363;

1456 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
363 -> 1456 [arrowhead = none ];
1456 -> 364;

1457 [label="EVAL with clause\np(s(X525), X525).\nand substitution\nX525 -> s(s(s(0)))\nX523 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
364 -> 1457 [arrowhead = none ];
1457 -> 365;

1458 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
365 -> 1458 [arrowhead = none ];
1458 -> 366;

1459 [label="EVAL with clause\nquot(0, s(X529), s(X530), X531) :- ','(!, eq(X531, 0)).\nand substitution\nT135 -> 0\nX529 -> s(s(0))\nX530 -> s(s(s(0)))\nX531 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
366 -> 1459 [arrowhead = none ];
1459 -> 367;

1460 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
366 -> 1460 [arrowhead = none ];
1460 -> 368;

1461 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
367 -> 1461 [arrowhead = none ];
1461 -> 369;

1462 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
368 -> 1462 [arrowhead = none ];
1462 -> 373;

1463 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
369 -> 1463 [arrowhead = none ];
1463 -> 370;

1464 [label="EVAL with clause\neq(X533, X533).\nand substitution\nX533 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
370 -> 1464 [arrowhead = none ];
1464 -> 371;

1465 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
371 -> 1465 [arrowhead = none ];
1465 -> 372;

1466 [label="EVAL with clause\nquot(s(X541), X542, X543, X544) :- ','(p(X542, X545), quot(X541, X545, X543, X544)).\nand substitution\nX541 -> T136\nT135 -> s(T136)\nX542 -> s(s(s(0)))\nX543 -> s(s(s(s(0))))\nX544 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
373 -> 1466 [arrowhead = none ];
1466 -> 374;

1467 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
373 -> 1467 [arrowhead = none ];
1467 -> 375;

1468 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
374 -> 1468 [arrowhead = none ];
1468 -> 376;

1469 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
376 -> 1469 [arrowhead = none ];
1469 -> 377;

1470 [label="EVAL with clause\np(s(X547), X547).\nand substitution\nX547 -> s(s(0))\nX545 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
377 -> 1470 [arrowhead = none ];
1470 -> 378;

1471 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
378 -> 1471 [arrowhead = none ];
1471 -> 379;

1472 [label="EVAL with clause\nquot(0, s(X551), s(X552), X553) :- ','(!, eq(X553, 0)).\nand substitution\nT136 -> 0\nX551 -> s(0)\nX552 -> s(s(s(0)))\nX553 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
379 -> 1472 [arrowhead = none ];
1472 -> 380;

1473 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
379 -> 1473 [arrowhead = none ];
1473 -> 381;

1474 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
380 -> 1474 [arrowhead = none ];
1474 -> 382;

1475 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
381 -> 1475 [arrowhead = none ];
1475 -> 386;

1476 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
382 -> 1476 [arrowhead = none ];
1476 -> 383;

1477 [label="EVAL with clause\neq(X555, X555).\nand substitution\nX555 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
383 -> 1477 [arrowhead = none ];
1477 -> 384;

1478 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
384 -> 1478 [arrowhead = none ];
1478 -> 385;

1479 [label="EVAL with clause\nquot(s(X563), X564, X565, X566) :- ','(p(X564, X567), quot(X563, X567, X565, X566)).\nand substitution\nX563 -> T137\nT136 -> s(T137)\nX564 -> s(s(0))\nX565 -> s(s(s(s(0))))\nX566 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
386 -> 1479 [arrowhead = none ];
1479 -> 387;

1480 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
386 -> 1480 [arrowhead = none ];
1480 -> 388;

1481 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
387 -> 1481 [arrowhead = none ];
1481 -> 389;

1482 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
389 -> 1482 [arrowhead = none ];
1482 -> 390;

1483 [label="EVAL with clause\np(s(X569), X569).\nand substitution\nX569 -> s(0)\nX567 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
390 -> 1483 [arrowhead = none ];
1483 -> 391;

1484 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
391 -> 1484 [arrowhead = none ];
1484 -> 392;

1485 [label="EVAL with clause\nquot(0, s(X573), s(X574), X575) :- ','(!, eq(X575, 0)).\nand substitution\nT137 -> 0\nX573 -> 0\nX574 -> s(s(s(0)))\nX575 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
392 -> 1485 [arrowhead = none ];
1485 -> 393;

1486 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
392 -> 1486 [arrowhead = none ];
1486 -> 394;

1487 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
393 -> 1487 [arrowhead = none ];
1487 -> 395;

1488 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
394 -> 1488 [arrowhead = none ];
1488 -> 399;

1489 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
395 -> 1489 [arrowhead = none ];
1489 -> 396;

1490 [label="EVAL with clause\neq(X577, X577).\nand substitution\nX577 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
396 -> 1490 [arrowhead = none ];
1490 -> 397;

1491 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
397 -> 1491 [arrowhead = none ];
1491 -> 398;

1492 [label="EVAL with clause\nquot(s(X585), X586, X587, X588) :- ','(p(X586, X589), quot(X585, X589, X587, X588)).\nand substitution\nX585 -> T138\nT137 -> s(T138)\nX586 -> s(0)\nX587 -> s(s(s(s(0))))\nX588 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
399 -> 1492 [arrowhead = none ];
1492 -> 400;

1493 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
399 -> 1493 [arrowhead = none ];
1493 -> 401;

1494 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
400 -> 1494 [arrowhead = none ];
1494 -> 402;

1495 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
402 -> 1495 [arrowhead = none ];
1495 -> 403;

1496 [label="EVAL with clause\np(s(X591), X591).\nand substitution\nX591 -> 0\nX589 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
403 -> 1496 [arrowhead = none ];
1496 -> 404;

1497 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
404 -> 1497 [arrowhead = none ];
1497 -> 405;

1498 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
405 -> 1498 [arrowhead = none ];
1498 -> 406;

1499 [label="EVAL with clause\nquot(X598, 0, X599, X600) :- ','(!, ','(eq(X599, s(X601)), ','(p(X600, X602), quot(X598, X599, X599, X602)))).\nand substitution\nT138 -> T139\nX598 -> T139\nX599 -> s(s(s(s(0))))\nX600 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
406 -> 1499 [arrowhead = none ];
1499 -> 407;

1500 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
407 -> 1500 [arrowhead = none ];
1500 -> 408;

1501 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
408 -> 1501 [arrowhead = none ];
1501 -> 409;

1502 [label="EVAL with clause\neq(X604, X604).\nand substitution\nX604 -> s(s(s(s(0))))\nX601 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
409 -> 1502 [arrowhead = none ];
1502 -> 410;

1503 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
410 -> 1503 [arrowhead = none ];
1503 -> 411;

1504 [label="EVAL with clause\np(0, 0).\nand substitution\nX602 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
411 -> 1504 [arrowhead = none ];
1504 -> 412;

1505 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
412 -> 1505 [arrowhead = none ];
1505 -> 413;

1506 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
412 -> 1506 [arrowhead = none ];
1506 -> 414;

1507 [label="INSTANCE with matching:\nT132 -> T139", fontsize=14, style = filled, fillcolor = lightgrey];
413 -> 1507 [arrowhead = none , style=dashed];
1507 -> 351[style=dashed];

1508 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
414 -> 1508 [arrowhead = none ];
1508 -> 415;

1509 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
416 -> 1509 [arrowhead = none ];
1509 -> 418;

1510 [label="EVAL with clause\nquot(0, s(X611), s(X612), X613) :- ','(!, eq(X613, 0)).\nand substitution\nT132 -> 0\nX611 -> s(s(s(0)))\nX612 -> s(s(s(0)))\nT141 -> T143\nX613 -> T143\nT142 -> T143", fontsize=14, style = filled, fillcolor = lightblue];
418 -> 1510 [arrowhead = none ];
1510 -> 419;

1511 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
418 -> 1511 [arrowhead = none ];
1511 -> 420;

1512 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
419 -> 1512 [arrowhead = none ];
1512 -> 421;

1513 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
420 -> 1513 [arrowhead = none ];
1513 -> 426;

1514 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
421 -> 1514 [arrowhead = none ];
1514 -> 422;

1515 [label="EVAL with clause\neq(X615, X615).\nand substitution\nT143 -> 0\nX615 -> 0\nT144 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
422 -> 1515 [arrowhead = none ];
1515 -> 423;

1516 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
422 -> 1516 [arrowhead = none ];
1516 -> 424;

1517 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
423 -> 1517 [arrowhead = none ];
1517 -> 425;

1518 [label="EVAL with clause\nquot(s(X623), X624, X625, X626) :- ','(p(X624, X627), quot(X623, X627, X625, X626)).\nand substitution\nX623 -> T145\nT132 -> s(T145)\nX624 -> s(s(s(s(0))))\nX625 -> s(s(s(s(0))))\nT141 -> T147\nX626 -> T147\nT146 -> T147", fontsize=14, style = filled, fillcolor = lightblue];
426 -> 1518 [arrowhead = none ];
1518 -> 427;

1519 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
426 -> 1519 [arrowhead = none ];
1519 -> 428;

1520 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
427 -> 1520 [arrowhead = none ];
1520 -> 429;

1521 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
429 -> 1521 [arrowhead = none ];
1521 -> 430;

1522 [label="EVAL with clause\np(s(X629), X629).\nand substitution\nX629 -> s(s(s(0)))\nX627 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
430 -> 1522 [arrowhead = none ];
1522 -> 431;

1523 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
431 -> 1523 [arrowhead = none ];
1523 -> 432;

1524 [label="EVAL with clause\nquot(0, s(X633), s(X634), X635) :- ','(!, eq(X635, 0)).\nand substitution\nT145 -> 0\nX633 -> s(s(0))\nX634 -> s(s(s(0)))\nT147 -> T149\nX635 -> T149\nT148 -> T149", fontsize=14, style = filled, fillcolor = lightblue];
432 -> 1524 [arrowhead = none ];
1524 -> 433;

1525 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
432 -> 1525 [arrowhead = none ];
1525 -> 434;

1526 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
433 -> 1526 [arrowhead = none ];
1526 -> 435;

1527 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
434 -> 1527 [arrowhead = none ];
1527 -> 440;

1528 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
435 -> 1528 [arrowhead = none ];
1528 -> 436;

1529 [label="EVAL with clause\neq(X637, X637).\nand substitution\nT149 -> 0\nX637 -> 0\nT150 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
436 -> 1529 [arrowhead = none ];
1529 -> 437;

1530 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
436 -> 1530 [arrowhead = none ];
1530 -> 438;

1531 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
437 -> 1531 [arrowhead = none ];
1531 -> 439;

1532 [label="EVAL with clause\nquot(s(X645), X646, X647, X648) :- ','(p(X646, X649), quot(X645, X649, X647, X648)).\nand substitution\nX645 -> T151\nT145 -> s(T151)\nX646 -> s(s(s(0)))\nX647 -> s(s(s(s(0))))\nT147 -> T153\nX648 -> T153\nT152 -> T153", fontsize=14, style = filled, fillcolor = lightblue];
440 -> 1532 [arrowhead = none ];
1532 -> 441;

1533 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
440 -> 1533 [arrowhead = none ];
1533 -> 442;

1534 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
441 -> 1534 [arrowhead = none ];
1534 -> 443;

1535 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
443 -> 1535 [arrowhead = none ];
1535 -> 444;

1536 [label="EVAL with clause\np(s(X651), X651).\nand substitution\nX651 -> s(s(0))\nX649 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
444 -> 1536 [arrowhead = none ];
1536 -> 445;

1537 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
445 -> 1537 [arrowhead = none ];
1537 -> 446;

1538 [label="EVAL with clause\nquot(0, s(X655), s(X656), X657) :- ','(!, eq(X657, 0)).\nand substitution\nT151 -> 0\nX655 -> s(0)\nX656 -> s(s(s(0)))\nT153 -> T155\nX657 -> T155\nT154 -> T155", fontsize=14, style = filled, fillcolor = lightblue];
446 -> 1538 [arrowhead = none ];
1538 -> 447;

1539 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
446 -> 1539 [arrowhead = none ];
1539 -> 448;

1540 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
447 -> 1540 [arrowhead = none ];
1540 -> 449;

1541 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
448 -> 1541 [arrowhead = none ];
1541 -> 454;

1542 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
449 -> 1542 [arrowhead = none ];
1542 -> 450;

1543 [label="EVAL with clause\neq(X659, X659).\nand substitution\nT155 -> 0\nX659 -> 0\nT156 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
450 -> 1543 [arrowhead = none ];
1543 -> 451;

1544 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
450 -> 1544 [arrowhead = none ];
1544 -> 452;

1545 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
451 -> 1545 [arrowhead = none ];
1545 -> 453;

1546 [label="EVAL with clause\nquot(s(X667), X668, X669, X670) :- ','(p(X668, X671), quot(X667, X671, X669, X670)).\nand substitution\nX667 -> T157\nT151 -> s(T157)\nX668 -> s(s(0))\nX669 -> s(s(s(s(0))))\nT153 -> T159\nX670 -> T159\nT158 -> T159", fontsize=14, style = filled, fillcolor = lightblue];
454 -> 1546 [arrowhead = none ];
1546 -> 455;

1547 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
454 -> 1547 [arrowhead = none ];
1547 -> 456;

1548 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
455 -> 1548 [arrowhead = none ];
1548 -> 457;

1549 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
457 -> 1549 [arrowhead = none ];
1549 -> 458;

1550 [label="EVAL with clause\np(s(X673), X673).\nand substitution\nX673 -> s(0)\nX671 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
458 -> 1550 [arrowhead = none ];
1550 -> 459;

1551 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
459 -> 1551 [arrowhead = none ];
1551 -> 460;

1552 [label="EVAL with clause\nquot(0, s(X677), s(X678), X679) :- ','(!, eq(X679, 0)).\nand substitution\nT157 -> 0\nX677 -> 0\nX678 -> s(s(s(0)))\nT159 -> T161\nX679 -> T161\nT160 -> T161", fontsize=14, style = filled, fillcolor = lightblue];
460 -> 1552 [arrowhead = none ];
1552 -> 461;

1553 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
460 -> 1553 [arrowhead = none ];
1553 -> 462;

1554 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
461 -> 1554 [arrowhead = none ];
1554 -> 463;

1555 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
462 -> 1555 [arrowhead = none ];
1555 -> 468;

1556 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
463 -> 1556 [arrowhead = none ];
1556 -> 464;

1557 [label="EVAL with clause\neq(X681, X681).\nand substitution\nT161 -> 0\nX681 -> 0\nT162 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
464 -> 1557 [arrowhead = none ];
1557 -> 465;

1558 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
464 -> 1558 [arrowhead = none ];
1558 -> 466;

1559 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
465 -> 1559 [arrowhead = none ];
1559 -> 467;

1560 [label="EVAL with clause\nquot(s(X689), X690, X691, X692) :- ','(p(X690, X693), quot(X689, X693, X691, X692)).\nand substitution\nX689 -> T163\nT157 -> s(T163)\nX690 -> s(0)\nX691 -> s(s(s(s(0))))\nT159 -> T165\nX692 -> T165\nT164 -> T165", fontsize=14, style = filled, fillcolor = lightblue];
468 -> 1560 [arrowhead = none ];
1560 -> 469;

1561 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
468 -> 1561 [arrowhead = none ];
1561 -> 470;

1562 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
469 -> 1562 [arrowhead = none ];
1562 -> 471;

1563 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
471 -> 1563 [arrowhead = none ];
1563 -> 472;

1564 [label="EVAL with clause\np(s(X695), X695).\nand substitution\nX695 -> 0\nX693 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
472 -> 1564 [arrowhead = none ];
1564 -> 473;

1565 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
473 -> 1565 [arrowhead = none ];
1565 -> 474;

1566 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
474 -> 1566 [arrowhead = none ];
1566 -> 475;

1567 [label="EVAL with clause\nquot(X702, 0, X703, X704) :- ','(!, ','(eq(X703, s(X705)), ','(p(X704, X706), quot(X702, X703, X703, X706)))).\nand substitution\nT163 -> T166\nX702 -> T166\nX703 -> s(s(s(s(0))))\nT165 -> T168\nX704 -> T168\nT167 -> T168", fontsize=14, style = filled, fillcolor = lightblue];
475 -> 1567 [arrowhead = none ];
1567 -> 476;

1568 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
476 -> 1568 [arrowhead = none ];
1568 -> 477;

1569 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
477 -> 1569 [arrowhead = none ];
1569 -> 478;

1570 [label="EVAL with clause\neq(X708, X708).\nand substitution\nX708 -> s(s(s(s(0))))\nX705 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
478 -> 1570 [arrowhead = none ];
1570 -> 479;

1571 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
479 -> 1571 [arrowhead = none ];
1571 -> 480;

1572 [label="EVAL with clause\np(0, 0).\nand substitution\nT168 -> 0\nX706 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
480 -> 1572 [arrowhead = none ];
1572 -> 481;

1573 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
480 -> 1573 [arrowhead = none ];
1573 -> 482;

1574 [label="INSTANCE with matching:\nT132 -> T166\nT134 -> T168\nX501 -> X706", fontsize=14, style = filled, fillcolor = lightgrey];
481 -> 1574 [arrowhead = none , style=dashed];
1574 -> 349[style=dashed];

1575 [label="EVAL with clause\np(s(X710), X710).\nand substitution\nX710 -> T170\nT168 -> s(T170)\nX706 -> T170\nT169 -> T170", fontsize=14, style = filled, fillcolor = lightblue];
482 -> 1575 [arrowhead = none ];
1575 -> 483;

1576 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
482 -> 1576 [arrowhead = none ];
1576 -> 484;

1577 [label="INSTANCE with matching:\nT132 -> T166\nT141 -> T170", fontsize=14, style = filled, fillcolor = lightgrey];
483 -> 1577 [arrowhead = none , style=dashed];
1577 -> 416[style=dashed];

1578 [label="INSTANCE with matching:\nT141 -> T172", fontsize=14, style = filled, fillcolor = lightgrey];
485 -> 1578 [arrowhead = none , style=dashed];
1578 -> 416[style=dashed];

1579 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
487 -> 1579 [arrowhead = none ];
1579 -> 489;

1580 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T173), T174, s(s(s(s(T174)))), T126), quot(X497, 0, X498, X499))", fontsize=14, style = filled, fillcolor = white];
489 -> 1580 [arrowhead = none ];
1580 -> 490;

1581 [label="EVAL with clause\np(s(X723), X723).\nand substitution\nX723 -> T177\nT174 -> s(T177)\nX721 -> T177", fontsize=14, style = filled, fillcolor = lightblue];
490 -> 1581 [arrowhead = none ];
1581 -> 491;

1582 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
490 -> 1582 [arrowhead = none ];
1582 -> 492;

1583 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
491 -> 1583 [arrowhead = none ];
1583 -> 493;

1584 [label="EVAL with clause\nquot(0, s(X727), s(X728), X729) :- ','(!, eq(X729, 0)).\nand substitution\nT173 -> 0\nX727 -> T178\nT177 -> s(T178)\nX728 -> s(s(s(s(s(T178)))))\nT176 -> T180\nX729 -> T180\nT179 -> T180", fontsize=14, style = filled, fillcolor = lightblue];
493 -> 1584 [arrowhead = none ];
1584 -> 494;

1585 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
493 -> 1585 [arrowhead = none ];
1585 -> 495;

1586 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
494 -> 1586 [arrowhead = none ];
1586 -> 496;

1587 [label="EVAL with clause\nquot(X735, 0, X736, X737) :- ','(!, ','(eq(X736, s(X738)), ','(p(X737, X739), quot(X735, X736, X736, X739)))).\nand substitution\nT173 -> T182\nX735 -> T182\nT177 -> 0\nX736 -> s(s(s(s(s(0)))))\nT176 -> T184\nX737 -> T184\nT183 -> T184", fontsize=14, style = filled, fillcolor = lightblue];
495 -> 1587 [arrowhead = none ];
1587 -> 501;

1588 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
495 -> 1588 [arrowhead = none ];
1588 -> 502;

1589 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
496 -> 1589 [arrowhead = none ];
1589 -> 497;

1590 [label="EVAL with clause\neq(X731, X731).\nand substitution\nT180 -> 0\nX731 -> 0\nT181 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
497 -> 1590 [arrowhead = none ];
1590 -> 498;

1591 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
497 -> 1591 [arrowhead = none ];
1591 -> 499;

1592 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
498 -> 1592 [arrowhead = none ];
1592 -> 500;

1593 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
501 -> 1593 [arrowhead = none ];
1593 -> 503;

1594 [label="EVAL with clause\nquot(s(X999), X1000, X1001, X1002) :- ','(p(X1000, X1003), quot(X999, X1003, X1001, X1002)).\nand substitution\nX999 -> T230\nT173 -> s(T230)\nT177 -> T231\nX1000 -> T231\nX1001 -> s(s(s(s(s(T231)))))\nT176 -> T233\nX1002 -> T233\nT232 -> T233", fontsize=14, style = filled, fillcolor = lightblue];
502 -> 1594 [arrowhead = none ];
1594 -> 672;

1595 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
502 -> 1595 [arrowhead = none ];
1595 -> 673;

1596 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
503 -> 1596 [arrowhead = none ];
1596 -> 504;

1597 [label="EVAL with clause\neq(X741, X741).\nand substitution\nX741 -> s(s(s(s(s(0)))))\nX738 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
504 -> 1597 [arrowhead = none ];
1597 -> 505;

1598 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
505 -> 1598 [arrowhead = none ];
1598 -> 506;

1599 [label="EVAL with clause\np(0, 0).\nand substitution\nT184 -> 0\nX739 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
506 -> 1599 [arrowhead = none ];
1599 -> 507;

1600 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
506 -> 1600 [arrowhead = none ];
1600 -> 508;

1601 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
507 -> 1601 [arrowhead = none ];
1601 -> 509;

1602 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
507 -> 1602 [arrowhead = none ];
1602 -> 510;

1603 [label="EVAL with clause\np(s(X994), X994).\nand substitution\nX994 -> T229\nT184 -> s(T229)\nX739 -> T229\nT228 -> T229", fontsize=14, style = filled, fillcolor = lightblue];
508 -> 1603 [arrowhead = none ];
1603 -> 670;

1604 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
508 -> 1604 [arrowhead = none ];
1604 -> 671;

1605 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
509 -> 1605 [arrowhead = none ];
1605 -> 511;

1606 [label="EVAL with clause\np(s(X867), X867).\nand substitution\nX867 -> T192\nT184 -> s(T192)\nX739 -> T192\nT191 -> T192", fontsize=14, style = filled, fillcolor = lightblue];
510 -> 1606 [arrowhead = none ];
1606 -> 587;

1607 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
510 -> 1607 [arrowhead = none ];
1607 -> 588;

1608 [label="EVAL with clause\nquot(0, s(X745), s(X746), X747) :- ','(!, eq(X747, 0)).\nand substitution\nT182 -> 0\nX745 -> s(s(s(s(0))))\nX746 -> s(s(s(s(0))))\nX747 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
511 -> 1608 [arrowhead = none ];
1608 -> 512;

1609 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
511 -> 1609 [arrowhead = none ];
1609 -> 513;

1610 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
512 -> 1610 [arrowhead = none ];
1610 -> 514;

1611 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
513 -> 1611 [arrowhead = none ];
1611 -> 518;

1612 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
514 -> 1612 [arrowhead = none ];
1612 -> 515;

1613 [label="EVAL with clause\neq(X749, X749).\nand substitution\nX749 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
515 -> 1613 [arrowhead = none ];
1613 -> 516;

1614 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
516 -> 1614 [arrowhead = none ];
1614 -> 517;

1615 [label="EVAL with clause\nquot(s(X757), X758, X759, X760) :- ','(p(X758, X761), quot(X757, X761, X759, X760)).\nand substitution\nX757 -> T185\nT182 -> s(T185)\nX758 -> s(s(s(s(s(0)))))\nX759 -> s(s(s(s(s(0)))))\nX760 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
518 -> 1615 [arrowhead = none ];
1615 -> 519;

1616 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
518 -> 1616 [arrowhead = none ];
1616 -> 520;

1617 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
519 -> 1617 [arrowhead = none ];
1617 -> 521;

1618 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
521 -> 1618 [arrowhead = none ];
1618 -> 522;

1619 [label="EVAL with clause\np(s(X763), X763).\nand substitution\nX763 -> s(s(s(s(0))))\nX761 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
522 -> 1619 [arrowhead = none ];
1619 -> 523;

1620 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
523 -> 1620 [arrowhead = none ];
1620 -> 524;

1621 [label="EVAL with clause\nquot(0, s(X767), s(X768), X769) :- ','(!, eq(X769, 0)).\nand substitution\nT185 -> 0\nX767 -> s(s(s(0)))\nX768 -> s(s(s(s(0))))\nX769 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
524 -> 1621 [arrowhead = none ];
1621 -> 525;

1622 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
524 -> 1622 [arrowhead = none ];
1622 -> 526;

1623 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
525 -> 1623 [arrowhead = none ];
1623 -> 527;

1624 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
526 -> 1624 [arrowhead = none ];
1624 -> 531;

1625 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
527 -> 1625 [arrowhead = none ];
1625 -> 528;

1626 [label="EVAL with clause\neq(X771, X771).\nand substitution\nX771 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
528 -> 1626 [arrowhead = none ];
1626 -> 529;

1627 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
529 -> 1627 [arrowhead = none ];
1627 -> 530;

1628 [label="EVAL with clause\nquot(s(X779), X780, X781, X782) :- ','(p(X780, X783), quot(X779, X783, X781, X782)).\nand substitution\nX779 -> T186\nT185 -> s(T186)\nX780 -> s(s(s(s(0))))\nX781 -> s(s(s(s(s(0)))))\nX782 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
531 -> 1628 [arrowhead = none ];
1628 -> 532;

1629 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
531 -> 1629 [arrowhead = none ];
1629 -> 533;

1630 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
532 -> 1630 [arrowhead = none ];
1630 -> 534;

1631 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
534 -> 1631 [arrowhead = none ];
1631 -> 535;

1632 [label="EVAL with clause\np(s(X785), X785).\nand substitution\nX785 -> s(s(s(0)))\nX783 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
535 -> 1632 [arrowhead = none ];
1632 -> 536;

1633 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
536 -> 1633 [arrowhead = none ];
1633 -> 537;

1634 [label="EVAL with clause\nquot(0, s(X789), s(X790), X791) :- ','(!, eq(X791, 0)).\nand substitution\nT186 -> 0\nX789 -> s(s(0))\nX790 -> s(s(s(s(0))))\nX791 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
537 -> 1634 [arrowhead = none ];
1634 -> 538;

1635 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
537 -> 1635 [arrowhead = none ];
1635 -> 539;

1636 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
538 -> 1636 [arrowhead = none ];
1636 -> 540;

1637 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
539 -> 1637 [arrowhead = none ];
1637 -> 544;

1638 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
540 -> 1638 [arrowhead = none ];
1638 -> 541;

1639 [label="EVAL with clause\neq(X793, X793).\nand substitution\nX793 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
541 -> 1639 [arrowhead = none ];
1639 -> 542;

1640 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
542 -> 1640 [arrowhead = none ];
1640 -> 543;

1641 [label="EVAL with clause\nquot(s(X801), X802, X803, X804) :- ','(p(X802, X805), quot(X801, X805, X803, X804)).\nand substitution\nX801 -> T187\nT186 -> s(T187)\nX802 -> s(s(s(0)))\nX803 -> s(s(s(s(s(0)))))\nX804 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
544 -> 1641 [arrowhead = none ];
1641 -> 545;

1642 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
544 -> 1642 [arrowhead = none ];
1642 -> 546;

1643 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
545 -> 1643 [arrowhead = none ];
1643 -> 547;

1644 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
547 -> 1644 [arrowhead = none ];
1644 -> 548;

1645 [label="EVAL with clause\np(s(X807), X807).\nand substitution\nX807 -> s(s(0))\nX805 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
548 -> 1645 [arrowhead = none ];
1645 -> 549;

1646 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
549 -> 1646 [arrowhead = none ];
1646 -> 550;

1647 [label="EVAL with clause\nquot(0, s(X811), s(X812), X813) :- ','(!, eq(X813, 0)).\nand substitution\nT187 -> 0\nX811 -> s(0)\nX812 -> s(s(s(s(0))))\nX813 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
550 -> 1647 [arrowhead = none ];
1647 -> 551;

1648 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
550 -> 1648 [arrowhead = none ];
1648 -> 552;

1649 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
551 -> 1649 [arrowhead = none ];
1649 -> 553;

1650 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
552 -> 1650 [arrowhead = none ];
1650 -> 557;

1651 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
553 -> 1651 [arrowhead = none ];
1651 -> 554;

1652 [label="EVAL with clause\neq(X815, X815).\nand substitution\nX815 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
554 -> 1652 [arrowhead = none ];
1652 -> 555;

1653 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
555 -> 1653 [arrowhead = none ];
1653 -> 556;

1654 [label="EVAL with clause\nquot(s(X823), X824, X825, X826) :- ','(p(X824, X827), quot(X823, X827, X825, X826)).\nand substitution\nX823 -> T188\nT187 -> s(T188)\nX824 -> s(s(0))\nX825 -> s(s(s(s(s(0)))))\nX826 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
557 -> 1654 [arrowhead = none ];
1654 -> 558;

1655 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
557 -> 1655 [arrowhead = none ];
1655 -> 559;

1656 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
558 -> 1656 [arrowhead = none ];
1656 -> 560;

1657 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
560 -> 1657 [arrowhead = none ];
1657 -> 561;

1658 [label="EVAL with clause\np(s(X829), X829).\nand substitution\nX829 -> s(0)\nX827 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
561 -> 1658 [arrowhead = none ];
1658 -> 562;

1659 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
562 -> 1659 [arrowhead = none ];
1659 -> 563;

1660 [label="EVAL with clause\nquot(0, s(X833), s(X834), X835) :- ','(!, eq(X835, 0)).\nand substitution\nT188 -> 0\nX833 -> 0\nX834 -> s(s(s(s(0))))\nX835 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
563 -> 1660 [arrowhead = none ];
1660 -> 564;

1661 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
563 -> 1661 [arrowhead = none ];
1661 -> 565;

1662 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
564 -> 1662 [arrowhead = none ];
1662 -> 566;

1663 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
565 -> 1663 [arrowhead = none ];
1663 -> 570;

1664 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
566 -> 1664 [arrowhead = none ];
1664 -> 567;

1665 [label="EVAL with clause\neq(X837, X837).\nand substitution\nX837 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
567 -> 1665 [arrowhead = none ];
1665 -> 568;

1666 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
568 -> 1666 [arrowhead = none ];
1666 -> 569;

1667 [label="EVAL with clause\nquot(s(X845), X846, X847, X848) :- ','(p(X846, X849), quot(X845, X849, X847, X848)).\nand substitution\nX845 -> T189\nT188 -> s(T189)\nX846 -> s(0)\nX847 -> s(s(s(s(s(0)))))\nX848 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
570 -> 1667 [arrowhead = none ];
1667 -> 571;

1668 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
570 -> 1668 [arrowhead = none ];
1668 -> 572;

1669 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
571 -> 1669 [arrowhead = none ];
1669 -> 573;

1670 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
573 -> 1670 [arrowhead = none ];
1670 -> 574;

1671 [label="EVAL with clause\np(s(X851), X851).\nand substitution\nX851 -> 0\nX849 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
574 -> 1671 [arrowhead = none ];
1671 -> 575;

1672 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
575 -> 1672 [arrowhead = none ];
1672 -> 576;

1673 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
576 -> 1673 [arrowhead = none ];
1673 -> 577;

1674 [label="EVAL with clause\nquot(X858, 0, X859, X860) :- ','(!, ','(eq(X859, s(X861)), ','(p(X860, X862), quot(X858, X859, X859, X862)))).\nand substitution\nT189 -> T190\nX858 -> T190\nX859 -> s(s(s(s(s(0)))))\nX860 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
577 -> 1674 [arrowhead = none ];
1674 -> 578;

1675 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
578 -> 1675 [arrowhead = none ];
1675 -> 579;

1676 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
579 -> 1676 [arrowhead = none ];
1676 -> 580;

1677 [label="EVAL with clause\neq(X864, X864).\nand substitution\nX864 -> s(s(s(s(s(0)))))\nX861 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
580 -> 1677 [arrowhead = none ];
1677 -> 581;

1678 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
581 -> 1678 [arrowhead = none ];
1678 -> 582;

1679 [label="EVAL with clause\np(0, 0).\nand substitution\nX862 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
582 -> 1679 [arrowhead = none ];
1679 -> 583;

1680 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
583 -> 1680 [arrowhead = none ];
1680 -> 584;

1681 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
583 -> 1681 [arrowhead = none ];
1681 -> 585;

1682 [label="INSTANCE with matching:\nT182 -> T190", fontsize=14, style = filled, fillcolor = lightgrey];
584 -> 1682 [arrowhead = none , style=dashed];
1682 -> 509[style=dashed];

1683 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
585 -> 1683 [arrowhead = none ];
1683 -> 586;

1684 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
587 -> 1684 [arrowhead = none ];
1684 -> 589;

1685 [label="EVAL with clause\nquot(0, s(X871), s(X872), X873) :- ','(!, eq(X873, 0)).\nand substitution\nT182 -> 0\nX871 -> s(s(s(s(0))))\nX872 -> s(s(s(s(0))))\nT192 -> T194\nX873 -> T194\nT193 -> T194", fontsize=14, style = filled, fillcolor = lightblue];
589 -> 1685 [arrowhead = none ];
1685 -> 590;

1686 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
589 -> 1686 [arrowhead = none ];
1686 -> 591;

1687 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
590 -> 1687 [arrowhead = none ];
1687 -> 592;

1688 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
591 -> 1688 [arrowhead = none ];
1688 -> 597;

1689 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
592 -> 1689 [arrowhead = none ];
1689 -> 593;

1690 [label="EVAL with clause\neq(X875, X875).\nand substitution\nT194 -> 0\nX875 -> 0\nT195 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
593 -> 1690 [arrowhead = none ];
1690 -> 594;

1691 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
593 -> 1691 [arrowhead = none ];
1691 -> 595;

1692 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
594 -> 1692 [arrowhead = none ];
1692 -> 596;

1693 [label="EVAL with clause\nquot(s(X883), X884, X885, X886) :- ','(p(X884, X887), quot(X883, X887, X885, X886)).\nand substitution\nX883 -> T196\nT182 -> s(T196)\nX884 -> s(s(s(s(s(0)))))\nX885 -> s(s(s(s(s(0)))))\nT192 -> T198\nX886 -> T198\nT197 -> T198", fontsize=14, style = filled, fillcolor = lightblue];
597 -> 1693 [arrowhead = none ];
1693 -> 598;

1694 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
597 -> 1694 [arrowhead = none ];
1694 -> 599;

1695 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
598 -> 1695 [arrowhead = none ];
1695 -> 600;

1696 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
600 -> 1696 [arrowhead = none ];
1696 -> 601;

1697 [label="EVAL with clause\np(s(X889), X889).\nand substitution\nX889 -> s(s(s(s(0))))\nX887 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
601 -> 1697 [arrowhead = none ];
1697 -> 602;

1698 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
602 -> 1698 [arrowhead = none ];
1698 -> 603;

1699 [label="EVAL with clause\nquot(0, s(X893), s(X894), X895) :- ','(!, eq(X895, 0)).\nand substitution\nT196 -> 0\nX893 -> s(s(s(0)))\nX894 -> s(s(s(s(0))))\nT198 -> T200\nX895 -> T200\nT199 -> T200", fontsize=14, style = filled, fillcolor = lightblue];
603 -> 1699 [arrowhead = none ];
1699 -> 604;

1700 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
603 -> 1700 [arrowhead = none ];
1700 -> 605;

1701 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
604 -> 1701 [arrowhead = none ];
1701 -> 606;

1702 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
605 -> 1702 [arrowhead = none ];
1702 -> 611;

1703 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
606 -> 1703 [arrowhead = none ];
1703 -> 607;

1704 [label="EVAL with clause\neq(X897, X897).\nand substitution\nT200 -> 0\nX897 -> 0\nT201 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
607 -> 1704 [arrowhead = none ];
1704 -> 608;

1705 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
607 -> 1705 [arrowhead = none ];
1705 -> 609;

1706 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
608 -> 1706 [arrowhead = none ];
1706 -> 610;

1707 [label="EVAL with clause\nquot(s(X905), X906, X907, X908) :- ','(p(X906, X909), quot(X905, X909, X907, X908)).\nand substitution\nX905 -> T202\nT196 -> s(T202)\nX906 -> s(s(s(s(0))))\nX907 -> s(s(s(s(s(0)))))\nT198 -> T204\nX908 -> T204\nT203 -> T204", fontsize=14, style = filled, fillcolor = lightblue];
611 -> 1707 [arrowhead = none ];
1707 -> 612;

1708 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
611 -> 1708 [arrowhead = none ];
1708 -> 613;

1709 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
612 -> 1709 [arrowhead = none ];
1709 -> 614;

1710 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
614 -> 1710 [arrowhead = none ];
1710 -> 615;

1711 [label="EVAL with clause\np(s(X911), X911).\nand substitution\nX911 -> s(s(s(0)))\nX909 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
615 -> 1711 [arrowhead = none ];
1711 -> 616;

1712 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
616 -> 1712 [arrowhead = none ];
1712 -> 617;

1713 [label="EVAL with clause\nquot(0, s(X915), s(X916), X917) :- ','(!, eq(X917, 0)).\nand substitution\nT202 -> 0\nX915 -> s(s(0))\nX916 -> s(s(s(s(0))))\nT204 -> T206\nX917 -> T206\nT205 -> T206", fontsize=14, style = filled, fillcolor = lightblue];
617 -> 1713 [arrowhead = none ];
1713 -> 618;

1714 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
617 -> 1714 [arrowhead = none ];
1714 -> 619;

1715 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
618 -> 1715 [arrowhead = none ];
1715 -> 620;

1716 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
619 -> 1716 [arrowhead = none ];
1716 -> 625;

1717 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
620 -> 1717 [arrowhead = none ];
1717 -> 621;

1718 [label="EVAL with clause\neq(X919, X919).\nand substitution\nT206 -> 0\nX919 -> 0\nT207 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
621 -> 1718 [arrowhead = none ];
1718 -> 622;

1719 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
621 -> 1719 [arrowhead = none ];
1719 -> 623;

1720 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
622 -> 1720 [arrowhead = none ];
1720 -> 624;

1721 [label="EVAL with clause\nquot(s(X927), X928, X929, X930) :- ','(p(X928, X931), quot(X927, X931, X929, X930)).\nand substitution\nX927 -> T208\nT202 -> s(T208)\nX928 -> s(s(s(0)))\nX929 -> s(s(s(s(s(0)))))\nT204 -> T210\nX930 -> T210\nT209 -> T210", fontsize=14, style = filled, fillcolor = lightblue];
625 -> 1721 [arrowhead = none ];
1721 -> 626;

1722 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
625 -> 1722 [arrowhead = none ];
1722 -> 627;

1723 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
626 -> 1723 [arrowhead = none ];
1723 -> 628;

1724 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
628 -> 1724 [arrowhead = none ];
1724 -> 629;

1725 [label="EVAL with clause\np(s(X933), X933).\nand substitution\nX933 -> s(s(0))\nX931 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
629 -> 1725 [arrowhead = none ];
1725 -> 630;

1726 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
630 -> 1726 [arrowhead = none ];
1726 -> 631;

1727 [label="EVAL with clause\nquot(0, s(X937), s(X938), X939) :- ','(!, eq(X939, 0)).\nand substitution\nT208 -> 0\nX937 -> s(0)\nX938 -> s(s(s(s(0))))\nT210 -> T212\nX939 -> T212\nT211 -> T212", fontsize=14, style = filled, fillcolor = lightblue];
631 -> 1727 [arrowhead = none ];
1727 -> 632;

1728 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
631 -> 1728 [arrowhead = none ];
1728 -> 633;

1729 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
632 -> 1729 [arrowhead = none ];
1729 -> 634;

1730 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
633 -> 1730 [arrowhead = none ];
1730 -> 639;

1731 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
634 -> 1731 [arrowhead = none ];
1731 -> 635;

1732 [label="EVAL with clause\neq(X941, X941).\nand substitution\nT212 -> 0\nX941 -> 0\nT213 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
635 -> 1732 [arrowhead = none ];
1732 -> 636;

1733 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
635 -> 1733 [arrowhead = none ];
1733 -> 637;

1734 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
636 -> 1734 [arrowhead = none ];
1734 -> 638;

1735 [label="EVAL with clause\nquot(s(X949), X950, X951, X952) :- ','(p(X950, X953), quot(X949, X953, X951, X952)).\nand substitution\nX949 -> T214\nT208 -> s(T214)\nX950 -> s(s(0))\nX951 -> s(s(s(s(s(0)))))\nT210 -> T216\nX952 -> T216\nT215 -> T216", fontsize=14, style = filled, fillcolor = lightblue];
639 -> 1735 [arrowhead = none ];
1735 -> 640;

1736 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
639 -> 1736 [arrowhead = none ];
1736 -> 641;

1737 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
640 -> 1737 [arrowhead = none ];
1737 -> 642;

1738 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
642 -> 1738 [arrowhead = none ];
1738 -> 643;

1739 [label="EVAL with clause\np(s(X955), X955).\nand substitution\nX955 -> s(0)\nX953 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
643 -> 1739 [arrowhead = none ];
1739 -> 644;

1740 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
644 -> 1740 [arrowhead = none ];
1740 -> 645;

1741 [label="EVAL with clause\nquot(0, s(X959), s(X960), X961) :- ','(!, eq(X961, 0)).\nand substitution\nT214 -> 0\nX959 -> 0\nX960 -> s(s(s(s(0))))\nT216 -> T218\nX961 -> T218\nT217 -> T218", fontsize=14, style = filled, fillcolor = lightblue];
645 -> 1741 [arrowhead = none ];
1741 -> 646;

1742 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
645 -> 1742 [arrowhead = none ];
1742 -> 647;

1743 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
646 -> 1743 [arrowhead = none ];
1743 -> 648;

1744 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
647 -> 1744 [arrowhead = none ];
1744 -> 653;

1745 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
648 -> 1745 [arrowhead = none ];
1745 -> 649;

1746 [label="EVAL with clause\neq(X963, X963).\nand substitution\nT218 -> 0\nX963 -> 0\nT219 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
649 -> 1746 [arrowhead = none ];
1746 -> 650;

1747 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
649 -> 1747 [arrowhead = none ];
1747 -> 651;

1748 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
650 -> 1748 [arrowhead = none ];
1748 -> 652;

1749 [label="EVAL with clause\nquot(s(X971), X972, X973, X974) :- ','(p(X972, X975), quot(X971, X975, X973, X974)).\nand substitution\nX971 -> T220\nT214 -> s(T220)\nX972 -> s(0)\nX973 -> s(s(s(s(s(0)))))\nT216 -> T222\nX974 -> T222\nT221 -> T222", fontsize=14, style = filled, fillcolor = lightblue];
653 -> 1749 [arrowhead = none ];
1749 -> 654;

1750 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
653 -> 1750 [arrowhead = none ];
1750 -> 655;

1751 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
654 -> 1751 [arrowhead = none ];
1751 -> 656;

1752 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
656 -> 1752 [arrowhead = none ];
1752 -> 657;

1753 [label="EVAL with clause\np(s(X977), X977).\nand substitution\nX977 -> 0\nX975 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
657 -> 1753 [arrowhead = none ];
1753 -> 658;

1754 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
658 -> 1754 [arrowhead = none ];
1754 -> 659;

1755 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
659 -> 1755 [arrowhead = none ];
1755 -> 660;

1756 [label="EVAL with clause\nquot(X984, 0, X985, X986) :- ','(!, ','(eq(X985, s(X987)), ','(p(X986, X988), quot(X984, X985, X985, X988)))).\nand substitution\nT220 -> T223\nX984 -> T223\nX985 -> s(s(s(s(s(0)))))\nT222 -> T225\nX986 -> T225\nT224 -> T225", fontsize=14, style = filled, fillcolor = lightblue];
660 -> 1756 [arrowhead = none ];
1756 -> 661;

1757 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
661 -> 1757 [arrowhead = none ];
1757 -> 662;

1758 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
662 -> 1758 [arrowhead = none ];
1758 -> 663;

1759 [label="EVAL with clause\neq(X990, X990).\nand substitution\nX990 -> s(s(s(s(s(0)))))\nX987 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
663 -> 1759 [arrowhead = none ];
1759 -> 664;

1760 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
664 -> 1760 [arrowhead = none ];
1760 -> 665;

1761 [label="EVAL with clause\np(0, 0).\nand substitution\nT225 -> 0\nX988 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
665 -> 1761 [arrowhead = none ];
1761 -> 666;

1762 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
665 -> 1762 [arrowhead = none ];
1762 -> 667;

1763 [label="INSTANCE with matching:\nT182 -> T223\nT184 -> T225\nX739 -> X988", fontsize=14, style = filled, fillcolor = lightgrey];
666 -> 1763 [arrowhead = none , style=dashed];
1763 -> 507[style=dashed];

1764 [label="EVAL with clause\np(s(X992), X992).\nand substitution\nX992 -> T227\nT225 -> s(T227)\nX988 -> T227\nT226 -> T227", fontsize=14, style = filled, fillcolor = lightblue];
667 -> 1764 [arrowhead = none ];
1764 -> 668;

1765 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
667 -> 1765 [arrowhead = none ];
1765 -> 669;

1766 [label="INSTANCE with matching:\nT182 -> T223\nT192 -> T227", fontsize=14, style = filled, fillcolor = lightgrey];
668 -> 1766 [arrowhead = none , style=dashed];
1766 -> 587[style=dashed];

1767 [label="INSTANCE with matching:\nT192 -> T229", fontsize=14, style = filled, fillcolor = lightgrey];
670 -> 1767 [arrowhead = none , style=dashed];
1767 -> 587[style=dashed];

1768 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
672 -> 1768 [arrowhead = none ];
1768 -> 674;

1769 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T230), T231, s(s(s(s(s(T231))))), T176), quot(X735, 0, X736, X737))", fontsize=14, style = filled, fillcolor = white];
674 -> 1769 [arrowhead = none ];
1769 -> 675;

1770 [label="EVAL with clause\np(s(X1005), X1005).\nand substitution\nX1005 -> T234\nT231 -> s(T234)\nX1003 -> T234", fontsize=14, style = filled, fillcolor = lightblue];
675 -> 1770 [arrowhead = none ];
1770 -> 676;

1771 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
675 -> 1771 [arrowhead = none ];
1771 -> 677;

1772 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
676 -> 1772 [arrowhead = none ];
1772 -> 678;

1773 [label="EVAL with clause\nquot(0, s(X1009), s(X1010), X1011) :- ','(!, eq(X1011, 0)).\nand substitution\nT230 -> 0\nX1009 -> T235\nT234 -> s(T235)\nX1010 -> s(s(s(s(s(s(T235))))))\nT233 -> T237\nX1011 -> T237\nT236 -> T237", fontsize=14, style = filled, fillcolor = lightblue];
678 -> 1773 [arrowhead = none ];
1773 -> 679;

1774 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
678 -> 1774 [arrowhead = none ];
1774 -> 680;

1775 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
679 -> 1775 [arrowhead = none ];
1775 -> 681;

1776 [label="EVAL with clause\nquot(X1017, 0, X1018, X1019) :- ','(!, ','(eq(X1018, s(X1020)), ','(p(X1019, X1021), quot(X1017, X1018, X1018, X1021)))).\nand substitution\nT230 -> T239\nX1017 -> T239\nT234 -> 0\nX1018 -> s(s(s(s(s(s(0))))))\nT233 -> T241\nX1019 -> T241\nT240 -> T241", fontsize=14, style = filled, fillcolor = lightblue];
680 -> 1776 [arrowhead = none ];
1776 -> 686;

1777 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
680 -> 1777 [arrowhead = none ];
1777 -> 687;

1778 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
681 -> 1778 [arrowhead = none ];
1778 -> 682;

1779 [label="EVAL with clause\neq(X1013, X1013).\nand substitution\nT237 -> 0\nX1013 -> 0\nT238 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
682 -> 1779 [arrowhead = none ];
1779 -> 683;

1780 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
682 -> 1780 [arrowhead = none ];
1780 -> 684;

1781 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
683 -> 1781 [arrowhead = none ];
1781 -> 685;

1782 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
686 -> 1782 [arrowhead = none ];
1782 -> 688;

1783 [label="EVAL with clause\nquot(s(X1325), X1326, X1327, X1328) :- ','(p(X1326, X1329), quot(X1325, X1329, X1327, X1328)).\nand substitution\nX1325 -> T294\nT230 -> s(T294)\nT234 -> T295\nX1326 -> T295\nX1327 -> s(s(s(s(s(s(T295))))))\nT233 -> T297\nX1328 -> T297\nT296 -> T297", fontsize=14, style = filled, fillcolor = lightblue];
687 -> 1783 [arrowhead = none ];
1783 -> 884;

1784 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
687 -> 1784 [arrowhead = none ];
1784 -> 885;

1785 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
688 -> 1785 [arrowhead = none ];
1785 -> 689;

1786 [label="EVAL with clause\neq(X1023, X1023).\nand substitution\nX1023 -> s(s(s(s(s(s(0))))))\nX1020 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
689 -> 1786 [arrowhead = none ];
1786 -> 690;

1787 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
690 -> 1787 [arrowhead = none ];
1787 -> 691;

1788 [label="EVAL with clause\np(0, 0).\nand substitution\nT241 -> 0\nX1021 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
691 -> 1788 [arrowhead = none ];
1788 -> 692;

1789 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
691 -> 1789 [arrowhead = none ];
1789 -> 693;

1790 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
692 -> 1790 [arrowhead = none ];
1790 -> 694;

1791 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
692 -> 1791 [arrowhead = none ];
1791 -> 695;

1792 [label="EVAL with clause\np(s(X1320), X1320).\nand substitution\nX1320 -> T293\nT241 -> s(T293)\nX1021 -> T293\nT292 -> T293", fontsize=14, style = filled, fillcolor = lightblue];
693 -> 1792 [arrowhead = none ];
1792 -> 882;

1793 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
693 -> 1793 [arrowhead = none ];
1793 -> 883;

1794 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
694 -> 1794 [arrowhead = none ];
1794 -> 696;

1795 [label="EVAL with clause\np(s(X1171), X1171).\nand substitution\nX1171 -> T250\nT241 -> s(T250)\nX1021 -> T250\nT249 -> T250", fontsize=14, style = filled, fillcolor = lightblue];
695 -> 1795 [arrowhead = none ];
1795 -> 785;

1796 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
695 -> 1796 [arrowhead = none ];
1796 -> 786;

1797 [label="EVAL with clause\nquot(0, s(X1027), s(X1028), X1029) :- ','(!, eq(X1029, 0)).\nand substitution\nT239 -> 0\nX1027 -> s(s(s(s(s(0)))))\nX1028 -> s(s(s(s(s(0)))))\nX1029 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
696 -> 1797 [arrowhead = none ];
1797 -> 697;

1798 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
696 -> 1798 [arrowhead = none ];
1798 -> 698;

1799 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
697 -> 1799 [arrowhead = none ];
1799 -> 699;

1800 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
698 -> 1800 [arrowhead = none ];
1800 -> 703;

1801 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
699 -> 1801 [arrowhead = none ];
1801 -> 700;

1802 [label="EVAL with clause\neq(X1031, X1031).\nand substitution\nX1031 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
700 -> 1802 [arrowhead = none ];
1802 -> 701;

1803 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
701 -> 1803 [arrowhead = none ];
1803 -> 702;

1804 [label="EVAL with clause\nquot(s(X1039), X1040, X1041, X1042) :- ','(p(X1040, X1043), quot(X1039, X1043, X1041, X1042)).\nand substitution\nX1039 -> T242\nT239 -> s(T242)\nX1040 -> s(s(s(s(s(s(0))))))\nX1041 -> s(s(s(s(s(s(0))))))\nX1042 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
703 -> 1804 [arrowhead = none ];
1804 -> 704;

1805 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
703 -> 1805 [arrowhead = none ];
1805 -> 705;

1806 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
704 -> 1806 [arrowhead = none ];
1806 -> 706;

1807 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
706 -> 1807 [arrowhead = none ];
1807 -> 707;

1808 [label="EVAL with clause\np(s(X1045), X1045).\nand substitution\nX1045 -> s(s(s(s(s(0)))))\nX1043 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
707 -> 1808 [arrowhead = none ];
1808 -> 708;

1809 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
708 -> 1809 [arrowhead = none ];
1809 -> 709;

1810 [label="EVAL with clause\nquot(0, s(X1049), s(X1050), X1051) :- ','(!, eq(X1051, 0)).\nand substitution\nT242 -> 0\nX1049 -> s(s(s(s(0))))\nX1050 -> s(s(s(s(s(0)))))\nX1051 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
709 -> 1810 [arrowhead = none ];
1810 -> 710;

1811 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
709 -> 1811 [arrowhead = none ];
1811 -> 711;

1812 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
710 -> 1812 [arrowhead = none ];
1812 -> 712;

1813 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
711 -> 1813 [arrowhead = none ];
1813 -> 716;

1814 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
712 -> 1814 [arrowhead = none ];
1814 -> 713;

1815 [label="EVAL with clause\neq(X1053, X1053).\nand substitution\nX1053 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
713 -> 1815 [arrowhead = none ];
1815 -> 714;

1816 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
714 -> 1816 [arrowhead = none ];
1816 -> 715;

1817 [label="EVAL with clause\nquot(s(X1061), X1062, X1063, X1064) :- ','(p(X1062, X1065), quot(X1061, X1065, X1063, X1064)).\nand substitution\nX1061 -> T243\nT242 -> s(T243)\nX1062 -> s(s(s(s(s(0)))))\nX1063 -> s(s(s(s(s(s(0))))))\nX1064 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
716 -> 1817 [arrowhead = none ];
1817 -> 717;

1818 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
716 -> 1818 [arrowhead = none ];
1818 -> 718;

1819 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
717 -> 1819 [arrowhead = none ];
1819 -> 719;

1820 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
719 -> 1820 [arrowhead = none ];
1820 -> 720;

1821 [label="EVAL with clause\np(s(X1067), X1067).\nand substitution\nX1067 -> s(s(s(s(0))))\nX1065 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
720 -> 1821 [arrowhead = none ];
1821 -> 721;

1822 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
721 -> 1822 [arrowhead = none ];
1822 -> 722;

1823 [label="EVAL with clause\nquot(0, s(X1071), s(X1072), X1073) :- ','(!, eq(X1073, 0)).\nand substitution\nT243 -> 0\nX1071 -> s(s(s(0)))\nX1072 -> s(s(s(s(s(0)))))\nX1073 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
722 -> 1823 [arrowhead = none ];
1823 -> 723;

1824 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
722 -> 1824 [arrowhead = none ];
1824 -> 724;

1825 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
723 -> 1825 [arrowhead = none ];
1825 -> 725;

1826 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
724 -> 1826 [arrowhead = none ];
1826 -> 729;

1827 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
725 -> 1827 [arrowhead = none ];
1827 -> 726;

1828 [label="EVAL with clause\neq(X1075, X1075).\nand substitution\nX1075 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
726 -> 1828 [arrowhead = none ];
1828 -> 727;

1829 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
727 -> 1829 [arrowhead = none ];
1829 -> 728;

1830 [label="EVAL with clause\nquot(s(X1083), X1084, X1085, X1086) :- ','(p(X1084, X1087), quot(X1083, X1087, X1085, X1086)).\nand substitution\nX1083 -> T244\nT243 -> s(T244)\nX1084 -> s(s(s(s(0))))\nX1085 -> s(s(s(s(s(s(0))))))\nX1086 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
729 -> 1830 [arrowhead = none ];
1830 -> 730;

1831 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
729 -> 1831 [arrowhead = none ];
1831 -> 731;

1832 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
730 -> 1832 [arrowhead = none ];
1832 -> 732;

1833 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
732 -> 1833 [arrowhead = none ];
1833 -> 733;

1834 [label="EVAL with clause\np(s(X1089), X1089).\nand substitution\nX1089 -> s(s(s(0)))\nX1087 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
733 -> 1834 [arrowhead = none ];
1834 -> 734;

1835 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
734 -> 1835 [arrowhead = none ];
1835 -> 735;

1836 [label="EVAL with clause\nquot(0, s(X1093), s(X1094), X1095) :- ','(!, eq(X1095, 0)).\nand substitution\nT244 -> 0\nX1093 -> s(s(0))\nX1094 -> s(s(s(s(s(0)))))\nX1095 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
735 -> 1836 [arrowhead = none ];
1836 -> 736;

1837 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
735 -> 1837 [arrowhead = none ];
1837 -> 737;

1838 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
736 -> 1838 [arrowhead = none ];
1838 -> 738;

1839 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
737 -> 1839 [arrowhead = none ];
1839 -> 742;

1840 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
738 -> 1840 [arrowhead = none ];
1840 -> 739;

1841 [label="EVAL with clause\neq(X1097, X1097).\nand substitution\nX1097 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
739 -> 1841 [arrowhead = none ];
1841 -> 740;

1842 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
740 -> 1842 [arrowhead = none ];
1842 -> 741;

1843 [label="EVAL with clause\nquot(s(X1105), X1106, X1107, X1108) :- ','(p(X1106, X1109), quot(X1105, X1109, X1107, X1108)).\nand substitution\nX1105 -> T245\nT244 -> s(T245)\nX1106 -> s(s(s(0)))\nX1107 -> s(s(s(s(s(s(0))))))\nX1108 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
742 -> 1843 [arrowhead = none ];
1843 -> 743;

1844 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
742 -> 1844 [arrowhead = none ];
1844 -> 744;

1845 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
743 -> 1845 [arrowhead = none ];
1845 -> 745;

1846 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
745 -> 1846 [arrowhead = none ];
1846 -> 746;

1847 [label="EVAL with clause\np(s(X1111), X1111).\nand substitution\nX1111 -> s(s(0))\nX1109 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
746 -> 1847 [arrowhead = none ];
1847 -> 747;

1848 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
747 -> 1848 [arrowhead = none ];
1848 -> 748;

1849 [label="EVAL with clause\nquot(0, s(X1115), s(X1116), X1117) :- ','(!, eq(X1117, 0)).\nand substitution\nT245 -> 0\nX1115 -> s(0)\nX1116 -> s(s(s(s(s(0)))))\nX1117 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
748 -> 1849 [arrowhead = none ];
1849 -> 749;

1850 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
748 -> 1850 [arrowhead = none ];
1850 -> 750;

1851 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
749 -> 1851 [arrowhead = none ];
1851 -> 751;

1852 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
750 -> 1852 [arrowhead = none ];
1852 -> 755;

1853 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
751 -> 1853 [arrowhead = none ];
1853 -> 752;

1854 [label="EVAL with clause\neq(X1119, X1119).\nand substitution\nX1119 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
752 -> 1854 [arrowhead = none ];
1854 -> 753;

1855 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
753 -> 1855 [arrowhead = none ];
1855 -> 754;

1856 [label="EVAL with clause\nquot(s(X1127), X1128, X1129, X1130) :- ','(p(X1128, X1131), quot(X1127, X1131, X1129, X1130)).\nand substitution\nX1127 -> T246\nT245 -> s(T246)\nX1128 -> s(s(0))\nX1129 -> s(s(s(s(s(s(0))))))\nX1130 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
755 -> 1856 [arrowhead = none ];
1856 -> 756;

1857 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
755 -> 1857 [arrowhead = none ];
1857 -> 757;

1858 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
756 -> 1858 [arrowhead = none ];
1858 -> 758;

1859 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
758 -> 1859 [arrowhead = none ];
1859 -> 759;

1860 [label="EVAL with clause\np(s(X1133), X1133).\nand substitution\nX1133 -> s(0)\nX1131 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
759 -> 1860 [arrowhead = none ];
1860 -> 760;

1861 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
760 -> 1861 [arrowhead = none ];
1861 -> 761;

1862 [label="EVAL with clause\nquot(0, s(X1137), s(X1138), X1139) :- ','(!, eq(X1139, 0)).\nand substitution\nT246 -> 0\nX1137 -> 0\nX1138 -> s(s(s(s(s(0)))))\nX1139 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
761 -> 1862 [arrowhead = none ];
1862 -> 762;

1863 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
761 -> 1863 [arrowhead = none ];
1863 -> 763;

1864 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
762 -> 1864 [arrowhead = none ];
1864 -> 764;

1865 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
763 -> 1865 [arrowhead = none ];
1865 -> 768;

1866 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
764 -> 1866 [arrowhead = none ];
1866 -> 765;

1867 [label="EVAL with clause\neq(X1141, X1141).\nand substitution\nX1141 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
765 -> 1867 [arrowhead = none ];
1867 -> 766;

1868 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
766 -> 1868 [arrowhead = none ];
1868 -> 767;

1869 [label="EVAL with clause\nquot(s(X1149), X1150, X1151, X1152) :- ','(p(X1150, X1153), quot(X1149, X1153, X1151, X1152)).\nand substitution\nX1149 -> T247\nT246 -> s(T247)\nX1150 -> s(0)\nX1151 -> s(s(s(s(s(s(0))))))\nX1152 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
768 -> 1869 [arrowhead = none ];
1869 -> 769;

1870 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
768 -> 1870 [arrowhead = none ];
1870 -> 770;

1871 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
769 -> 1871 [arrowhead = none ];
1871 -> 771;

1872 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
771 -> 1872 [arrowhead = none ];
1872 -> 772;

1873 [label="EVAL with clause\np(s(X1155), X1155).\nand substitution\nX1155 -> 0\nX1153 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
772 -> 1873 [arrowhead = none ];
1873 -> 773;

1874 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
773 -> 1874 [arrowhead = none ];
1874 -> 774;

1875 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
774 -> 1875 [arrowhead = none ];
1875 -> 775;

1876 [label="EVAL with clause\nquot(X1162, 0, X1163, X1164) :- ','(!, ','(eq(X1163, s(X1165)), ','(p(X1164, X1166), quot(X1162, X1163, X1163, X1166)))).\nand substitution\nT247 -> T248\nX1162 -> T248\nX1163 -> s(s(s(s(s(s(0))))))\nX1164 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
775 -> 1876 [arrowhead = none ];
1876 -> 776;

1877 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
776 -> 1877 [arrowhead = none ];
1877 -> 777;

1878 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
777 -> 1878 [arrowhead = none ];
1878 -> 778;

1879 [label="EVAL with clause\neq(X1168, X1168).\nand substitution\nX1168 -> s(s(s(s(s(s(0))))))\nX1165 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
778 -> 1879 [arrowhead = none ];
1879 -> 779;

1880 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
779 -> 1880 [arrowhead = none ];
1880 -> 780;

1881 [label="EVAL with clause\np(0, 0).\nand substitution\nX1166 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
780 -> 1881 [arrowhead = none ];
1881 -> 781;

1882 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
781 -> 1882 [arrowhead = none ];
1882 -> 782;

1883 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
781 -> 1883 [arrowhead = none ];
1883 -> 783;

1884 [label="INSTANCE with matching:\nT239 -> T248", fontsize=14, style = filled, fillcolor = lightgrey];
782 -> 1884 [arrowhead = none , style=dashed];
1884 -> 694[style=dashed];

1885 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
783 -> 1885 [arrowhead = none ];
1885 -> 784;

1886 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
785 -> 1886 [arrowhead = none ];
1886 -> 787;

1887 [label="EVAL with clause\nquot(0, s(X1175), s(X1176), X1177) :- ','(!, eq(X1177, 0)).\nand substitution\nT239 -> 0\nX1175 -> s(s(s(s(s(0)))))\nX1176 -> s(s(s(s(s(0)))))\nT250 -> T252\nX1177 -> T252\nT251 -> T252", fontsize=14, style = filled, fillcolor = lightblue];
787 -> 1887 [arrowhead = none ];
1887 -> 788;

1888 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
787 -> 1888 [arrowhead = none ];
1888 -> 789;

1889 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
788 -> 1889 [arrowhead = none ];
1889 -> 790;

1890 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
789 -> 1890 [arrowhead = none ];
1890 -> 795;

1891 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
790 -> 1891 [arrowhead = none ];
1891 -> 791;

1892 [label="EVAL with clause\neq(X1179, X1179).\nand substitution\nT252 -> 0\nX1179 -> 0\nT253 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
791 -> 1892 [arrowhead = none ];
1892 -> 792;

1893 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
791 -> 1893 [arrowhead = none ];
1893 -> 793;

1894 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
792 -> 1894 [arrowhead = none ];
1894 -> 794;

1895 [label="EVAL with clause\nquot(s(X1187), X1188, X1189, X1190) :- ','(p(X1188, X1191), quot(X1187, X1191, X1189, X1190)).\nand substitution\nX1187 -> T254\nT239 -> s(T254)\nX1188 -> s(s(s(s(s(s(0))))))\nX1189 -> s(s(s(s(s(s(0))))))\nT250 -> T256\nX1190 -> T256\nT255 -> T256", fontsize=14, style = filled, fillcolor = lightblue];
795 -> 1895 [arrowhead = none ];
1895 -> 796;

1896 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
795 -> 1896 [arrowhead = none ];
1896 -> 797;

1897 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
796 -> 1897 [arrowhead = none ];
1897 -> 798;

1898 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
798 -> 1898 [arrowhead = none ];
1898 -> 799;

1899 [label="EVAL with clause\np(s(X1193), X1193).\nand substitution\nX1193 -> s(s(s(s(s(0)))))\nX1191 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
799 -> 1899 [arrowhead = none ];
1899 -> 800;

1900 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
800 -> 1900 [arrowhead = none ];
1900 -> 801;

1901 [label="EVAL with clause\nquot(0, s(X1197), s(X1198), X1199) :- ','(!, eq(X1199, 0)).\nand substitution\nT254 -> 0\nX1197 -> s(s(s(s(0))))\nX1198 -> s(s(s(s(s(0)))))\nT256 -> T258\nX1199 -> T258\nT257 -> T258", fontsize=14, style = filled, fillcolor = lightblue];
801 -> 1901 [arrowhead = none ];
1901 -> 802;

1902 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
801 -> 1902 [arrowhead = none ];
1902 -> 803;

1903 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
802 -> 1903 [arrowhead = none ];
1903 -> 804;

1904 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
803 -> 1904 [arrowhead = none ];
1904 -> 809;

1905 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
804 -> 1905 [arrowhead = none ];
1905 -> 805;

1906 [label="EVAL with clause\neq(X1201, X1201).\nand substitution\nT258 -> 0\nX1201 -> 0\nT259 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
805 -> 1906 [arrowhead = none ];
1906 -> 806;

1907 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
805 -> 1907 [arrowhead = none ];
1907 -> 807;

1908 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
806 -> 1908 [arrowhead = none ];
1908 -> 808;

1909 [label="EVAL with clause\nquot(s(X1209), X1210, X1211, X1212) :- ','(p(X1210, X1213), quot(X1209, X1213, X1211, X1212)).\nand substitution\nX1209 -> T260\nT254 -> s(T260)\nX1210 -> s(s(s(s(s(0)))))\nX1211 -> s(s(s(s(s(s(0))))))\nT256 -> T262\nX1212 -> T262\nT261 -> T262", fontsize=14, style = filled, fillcolor = lightblue];
809 -> 1909 [arrowhead = none ];
1909 -> 810;

1910 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
809 -> 1910 [arrowhead = none ];
1910 -> 811;

1911 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
810 -> 1911 [arrowhead = none ];
1911 -> 812;

1912 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
812 -> 1912 [arrowhead = none ];
1912 -> 813;

1913 [label="EVAL with clause\np(s(X1215), X1215).\nand substitution\nX1215 -> s(s(s(s(0))))\nX1213 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
813 -> 1913 [arrowhead = none ];
1913 -> 814;

1914 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
814 -> 1914 [arrowhead = none ];
1914 -> 815;

1915 [label="EVAL with clause\nquot(0, s(X1219), s(X1220), X1221) :- ','(!, eq(X1221, 0)).\nand substitution\nT260 -> 0\nX1219 -> s(s(s(0)))\nX1220 -> s(s(s(s(s(0)))))\nT262 -> T264\nX1221 -> T264\nT263 -> T264", fontsize=14, style = filled, fillcolor = lightblue];
815 -> 1915 [arrowhead = none ];
1915 -> 816;

1916 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
815 -> 1916 [arrowhead = none ];
1916 -> 817;

1917 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
816 -> 1917 [arrowhead = none ];
1917 -> 818;

1918 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
817 -> 1918 [arrowhead = none ];
1918 -> 823;

1919 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
818 -> 1919 [arrowhead = none ];
1919 -> 819;

1920 [label="EVAL with clause\neq(X1223, X1223).\nand substitution\nT264 -> 0\nX1223 -> 0\nT265 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
819 -> 1920 [arrowhead = none ];
1920 -> 820;

1921 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
819 -> 1921 [arrowhead = none ];
1921 -> 821;

1922 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
820 -> 1922 [arrowhead = none ];
1922 -> 822;

1923 [label="EVAL with clause\nquot(s(X1231), X1232, X1233, X1234) :- ','(p(X1232, X1235), quot(X1231, X1235, X1233, X1234)).\nand substitution\nX1231 -> T266\nT260 -> s(T266)\nX1232 -> s(s(s(s(0))))\nX1233 -> s(s(s(s(s(s(0))))))\nT262 -> T268\nX1234 -> T268\nT267 -> T268", fontsize=14, style = filled, fillcolor = lightblue];
823 -> 1923 [arrowhead = none ];
1923 -> 824;

1924 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
823 -> 1924 [arrowhead = none ];
1924 -> 825;

1925 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
824 -> 1925 [arrowhead = none ];
1925 -> 826;

1926 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
826 -> 1926 [arrowhead = none ];
1926 -> 827;

1927 [label="EVAL with clause\np(s(X1237), X1237).\nand substitution\nX1237 -> s(s(s(0)))\nX1235 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
827 -> 1927 [arrowhead = none ];
1927 -> 828;

1928 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
828 -> 1928 [arrowhead = none ];
1928 -> 829;

1929 [label="EVAL with clause\nquot(0, s(X1241), s(X1242), X1243) :- ','(!, eq(X1243, 0)).\nand substitution\nT266 -> 0\nX1241 -> s(s(0))\nX1242 -> s(s(s(s(s(0)))))\nT268 -> T270\nX1243 -> T270\nT269 -> T270", fontsize=14, style = filled, fillcolor = lightblue];
829 -> 1929 [arrowhead = none ];
1929 -> 830;

1930 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
829 -> 1930 [arrowhead = none ];
1930 -> 831;

1931 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
830 -> 1931 [arrowhead = none ];
1931 -> 832;

1932 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
831 -> 1932 [arrowhead = none ];
1932 -> 837;

1933 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
832 -> 1933 [arrowhead = none ];
1933 -> 833;

1934 [label="EVAL with clause\neq(X1245, X1245).\nand substitution\nT270 -> 0\nX1245 -> 0\nT271 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
833 -> 1934 [arrowhead = none ];
1934 -> 834;

1935 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
833 -> 1935 [arrowhead = none ];
1935 -> 835;

1936 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
834 -> 1936 [arrowhead = none ];
1936 -> 836;

1937 [label="EVAL with clause\nquot(s(X1253), X1254, X1255, X1256) :- ','(p(X1254, X1257), quot(X1253, X1257, X1255, X1256)).\nand substitution\nX1253 -> T272\nT266 -> s(T272)\nX1254 -> s(s(s(0)))\nX1255 -> s(s(s(s(s(s(0))))))\nT268 -> T274\nX1256 -> T274\nT273 -> T274", fontsize=14, style = filled, fillcolor = lightblue];
837 -> 1937 [arrowhead = none ];
1937 -> 838;

1938 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
837 -> 1938 [arrowhead = none ];
1938 -> 839;

1939 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
838 -> 1939 [arrowhead = none ];
1939 -> 840;

1940 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
840 -> 1940 [arrowhead = none ];
1940 -> 841;

1941 [label="EVAL with clause\np(s(X1259), X1259).\nand substitution\nX1259 -> s(s(0))\nX1257 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
841 -> 1941 [arrowhead = none ];
1941 -> 842;

1942 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
842 -> 1942 [arrowhead = none ];
1942 -> 843;

1943 [label="EVAL with clause\nquot(0, s(X1263), s(X1264), X1265) :- ','(!, eq(X1265, 0)).\nand substitution\nT272 -> 0\nX1263 -> s(0)\nX1264 -> s(s(s(s(s(0)))))\nT274 -> T276\nX1265 -> T276\nT275 -> T276", fontsize=14, style = filled, fillcolor = lightblue];
843 -> 1943 [arrowhead = none ];
1943 -> 844;

1944 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
843 -> 1944 [arrowhead = none ];
1944 -> 845;

1945 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
844 -> 1945 [arrowhead = none ];
1945 -> 846;

1946 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
845 -> 1946 [arrowhead = none ];
1946 -> 851;

1947 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
846 -> 1947 [arrowhead = none ];
1947 -> 847;

1948 [label="EVAL with clause\neq(X1267, X1267).\nand substitution\nT276 -> 0\nX1267 -> 0\nT277 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
847 -> 1948 [arrowhead = none ];
1948 -> 848;

1949 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
847 -> 1949 [arrowhead = none ];
1949 -> 849;

1950 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
848 -> 1950 [arrowhead = none ];
1950 -> 850;

1951 [label="EVAL with clause\nquot(s(X1275), X1276, X1277, X1278) :- ','(p(X1276, X1279), quot(X1275, X1279, X1277, X1278)).\nand substitution\nX1275 -> T278\nT272 -> s(T278)\nX1276 -> s(s(0))\nX1277 -> s(s(s(s(s(s(0))))))\nT274 -> T280\nX1278 -> T280\nT279 -> T280", fontsize=14, style = filled, fillcolor = lightblue];
851 -> 1951 [arrowhead = none ];
1951 -> 852;

1952 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
851 -> 1952 [arrowhead = none ];
1952 -> 853;

1953 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
852 -> 1953 [arrowhead = none ];
1953 -> 854;

1954 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
854 -> 1954 [arrowhead = none ];
1954 -> 855;

1955 [label="EVAL with clause\np(s(X1281), X1281).\nand substitution\nX1281 -> s(0)\nX1279 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
855 -> 1955 [arrowhead = none ];
1955 -> 856;

1956 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
856 -> 1956 [arrowhead = none ];
1956 -> 857;

1957 [label="EVAL with clause\nquot(0, s(X1285), s(X1286), X1287) :- ','(!, eq(X1287, 0)).\nand substitution\nT278 -> 0\nX1285 -> 0\nX1286 -> s(s(s(s(s(0)))))\nT280 -> T282\nX1287 -> T282\nT281 -> T282", fontsize=14, style = filled, fillcolor = lightblue];
857 -> 1957 [arrowhead = none ];
1957 -> 858;

1958 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
857 -> 1958 [arrowhead = none ];
1958 -> 859;

1959 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
858 -> 1959 [arrowhead = none ];
1959 -> 860;

1960 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
859 -> 1960 [arrowhead = none ];
1960 -> 865;

1961 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
860 -> 1961 [arrowhead = none ];
1961 -> 861;

1962 [label="EVAL with clause\neq(X1289, X1289).\nand substitution\nT282 -> 0\nX1289 -> 0\nT283 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
861 -> 1962 [arrowhead = none ];
1962 -> 862;

1963 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
861 -> 1963 [arrowhead = none ];
1963 -> 863;

1964 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
862 -> 1964 [arrowhead = none ];
1964 -> 864;

1965 [label="EVAL with clause\nquot(s(X1297), X1298, X1299, X1300) :- ','(p(X1298, X1301), quot(X1297, X1301, X1299, X1300)).\nand substitution\nX1297 -> T284\nT278 -> s(T284)\nX1298 -> s(0)\nX1299 -> s(s(s(s(s(s(0))))))\nT280 -> T286\nX1300 -> T286\nT285 -> T286", fontsize=14, style = filled, fillcolor = lightblue];
865 -> 1965 [arrowhead = none ];
1965 -> 866;

1966 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
865 -> 1966 [arrowhead = none ];
1966 -> 867;

1967 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
866 -> 1967 [arrowhead = none ];
1967 -> 868;

1968 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
868 -> 1968 [arrowhead = none ];
1968 -> 869;

1969 [label="EVAL with clause\np(s(X1303), X1303).\nand substitution\nX1303 -> 0\nX1301 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
869 -> 1969 [arrowhead = none ];
1969 -> 870;

1970 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
870 -> 1970 [arrowhead = none ];
1970 -> 871;

1971 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = white];
871 -> 1971 [arrowhead = none ];
1971 -> 872;

1972 [label="EVAL with clause\nquot(X1310, 0, X1311, X1312) :- ','(!, ','(eq(X1311, s(X1313)), ','(p(X1312, X1314), quot(X1310, X1311, X1311, X1314)))).\nand substitution\nT284 -> T287\nX1310 -> T287\nX1311 -> s(s(s(s(s(s(0))))))\nT286 -> T289\nX1312 -> T289\nT288 -> T289", fontsize=14, style = filled, fillcolor = lightblue];
872 -> 1972 [arrowhead = none ];
1972 -> 873;

1973 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
873 -> 1973 [arrowhead = none ];
1973 -> 874;

1974 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
874 -> 1974 [arrowhead = none ];
1974 -> 875;

1975 [label="EVAL with clause\neq(X1316, X1316).\nand substitution\nX1316 -> s(s(s(s(s(s(0))))))\nX1313 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
875 -> 1975 [arrowhead = none ];
1975 -> 876;

1976 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
876 -> 1976 [arrowhead = none ];
1976 -> 877;

1977 [label="EVAL with clause\np(0, 0).\nand substitution\nT289 -> 0\nX1314 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
877 -> 1977 [arrowhead = none ];
1977 -> 878;

1978 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
877 -> 1978 [arrowhead = none ];
1978 -> 879;

1979 [label="INSTANCE with matching:\nT239 -> T287\nT241 -> T289\nX1021 -> X1314", fontsize=14, style = filled, fillcolor = lightgrey];
878 -> 1979 [arrowhead = none , style=dashed];
1979 -> 692[style=dashed];

1980 [label="EVAL with clause\np(s(X1318), X1318).\nand substitution\nX1318 -> T291\nT289 -> s(T291)\nX1314 -> T291\nT290 -> T291", fontsize=14, style = filled, fillcolor = lightblue];
879 -> 1980 [arrowhead = none ];
1980 -> 880;

1981 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
879 -> 1981 [arrowhead = none ];
1981 -> 881;

1982 [label="INSTANCE with matching:\nT239 -> T287\nT250 -> T291", fontsize=14, style = filled, fillcolor = lightgrey];
880 -> 1982 [arrowhead = none , style=dashed];
1982 -> 785[style=dashed];

1983 [label="INSTANCE with matching:\nT250 -> T293", fontsize=14, style = filled, fillcolor = lightgrey];
882 -> 1983 [arrowhead = none , style=dashed];
1983 -> 785[style=dashed];

1984 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
884 -> 1984 [arrowhead = none ];
1984 -> 886;

1985 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T294), T295, s(s(s(s(s(s(T295)))))), T233), quot(X1017, 0, X1018, X1019))", fontsize=14, style = filled, fillcolor = white];
886 -> 1985 [arrowhead = none ];
1985 -> 887;

1986 [label="EVAL with clause\np(s(X1331), X1331).\nand substitution\nX1331 -> T298\nT295 -> s(T298)\nX1329 -> T298", fontsize=14, style = filled, fillcolor = lightblue];
887 -> 1986 [arrowhead = none ];
1986 -> 888;

1987 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
887 -> 1987 [arrowhead = none ];
1987 -> 889;

1988 [label="GENERALIZATION\nT299 <-- s(s(s(s(s(s(T298))))))\n\nNew Knowledge:\nT299 is ground", fontsize=14, style = filled, fillcolor = violet];
888 -> 1988 [arrowhead = none ];
1988 -> 890;

1989 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
890 -> 1989 [arrowhead = none ];
1989 -> 891;

1990 [label="EVAL with clause\nquot(0, s(X1335), s(X1336), X1337) :- ','(!, eq(X1337, 0)).\nand substitution\nT294 -> 0\nX1335 -> T300\nT298 -> s(T300)\nT299 -> T301\nX1336 -> T301\nT297 -> T303\nX1337 -> T303\nT302 -> T303", fontsize=14, style = filled, fillcolor = lightblue];
891 -> 1990 [arrowhead = none ];
1990 -> 892;

1991 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
891 -> 1991 [arrowhead = none ];
1991 -> 893;

1992 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
892 -> 1992 [arrowhead = none ];
1992 -> 894;

1993 [label="EVAL with clause\nquot(X1343, 0, X1344, X1345) :- ','(!, ','(eq(X1344, s(X1346)), ','(p(X1345, X1347), quot(X1343, X1344, X1344, X1347)))).\nand substitution\nT294 -> T305\nX1343 -> T305\nT298 -> 0\nT299 -> T306\nX1344 -> s(T306)\nT297 -> T308\nX1345 -> T308\nT307 -> T308", fontsize=14, style = filled, fillcolor = lightblue];
893 -> 1993 [arrowhead = none ];
1993 -> 899;

1994 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
893 -> 1994 [arrowhead = none ];
1994 -> 900;

1995 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
894 -> 1995 [arrowhead = none ];
1995 -> 895;

1996 [label="EVAL with clause\neq(X1339, X1339).\nand substitution\nT303 -> 0\nX1339 -> 0\nT304 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
895 -> 1996 [arrowhead = none ];
1996 -> 896;

1997 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
895 -> 1997 [arrowhead = none ];
1997 -> 897;

1998 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
896 -> 1998 [arrowhead = none ];
1998 -> 898;

1999 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
899 -> 1999 [arrowhead = none ];
1999 -> 901;

2000 [label="EVAL with clause\nquot(s(X1584), X1585, X1586, X1587) :- ','(p(X1585, X1588), quot(X1584, X1588, X1586, X1587)).\nand substitution\nX1584 -> T358\nT294 -> s(T358)\nT298 -> T359\nX1585 -> T359\nT299 -> T360\nX1586 -> s(T360)\nT297 -> T362\nX1587 -> T362\nT361 -> T362", fontsize=14, style = filled, fillcolor = lightblue];
900 -> 2000 [arrowhead = none ];
2000 -> 1070;

2001 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
900 -> 2001 [arrowhead = none ];
2001 -> 1071;

2002 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
901 -> 2002 [arrowhead = none ];
2002 -> 902;

2003 [label="EVAL with clause\neq(X1349, X1349).\nand substitution\nT306 -> T309\nX1349 -> s(T309)\nX1346 -> T309", fontsize=14, style = filled, fillcolor = lightblue];
902 -> 2003 [arrowhead = none ];
2003 -> 903;

2004 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
903 -> 2004 [arrowhead = none ];
2004 -> 904;

2005 [label="EVAL with clause\np(0, 0).\nand substitution\nT308 -> 0\nX1347 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
904 -> 2005 [arrowhead = none ];
2005 -> 905;

2006 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
904 -> 2006 [arrowhead = none ];
2006 -> 906;

2007 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
905 -> 2007 [arrowhead = none ];
2007 -> 907;

2008 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
905 -> 2008 [arrowhead = none ];
2008 -> 908;

2009 [label="EVAL with clause\np(s(X1579), X1579).\nand substitution\nX1579 -> T357\nT308 -> s(T357)\nX1347 -> T357\nT356 -> T357", fontsize=14, style = filled, fillcolor = lightblue];
906 -> 2009 [arrowhead = none ];
2009 -> 1068;

2010 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
906 -> 2010 [arrowhead = none ];
2010 -> 1069;

2011 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
907 -> 2011 [arrowhead = none ];
2011 -> 909;

2012 [label="EVAL with clause\np(s(X1577), X1577).\nand substitution\nX1577 -> T355\nT308 -> s(T355)\nX1347 -> T355\nT354 -> T355", fontsize=14, style = filled, fillcolor = lightblue];
908 -> 2012 [arrowhead = none ];
2012 -> 1066;

2013 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
908 -> 2013 [arrowhead = none ];
2013 -> 1067;

2014 [label="EVAL with clause\nquot(0, s(X1353), s(X1354), X1355) :- ','(!, eq(X1355, 0)).\nand substitution\nT305 -> 0\nT309 -> T310\nX1353 -> T310\nX1354 -> T310\nX1355 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
909 -> 2014 [arrowhead = none ];
2014 -> 910;

2015 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
909 -> 2015 [arrowhead = none ];
2015 -> 911;

2016 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
910 -> 2016 [arrowhead = none ];
2016 -> 912;

2017 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = white];
911 -> 2017 [arrowhead = none ];
2017 -> 916;

2018 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
912 -> 2018 [arrowhead = none ];
2018 -> 913;

2019 [label="EVAL with clause\neq(X1357, X1357).\nand substitution\nX1357 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
913 -> 2019 [arrowhead = none ];
2019 -> 914;

2020 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
914 -> 2020 [arrowhead = none ];
2020 -> 915;

2021 [label="EVAL with clause\nquot(s(X1365), X1366, X1367, X1368) :- ','(p(X1366, X1369), quot(X1365, X1369, X1367, X1368)).\nand substitution\nX1365 -> T311\nT305 -> s(T311)\nT309 -> T312\nX1366 -> s(T312)\nX1367 -> s(T312)\nX1368 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
916 -> 2021 [arrowhead = none ];
2021 -> 917;

2022 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
916 -> 2022 [arrowhead = none ];
2022 -> 918;

2023 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
917 -> 2023 [arrowhead = none ];
2023 -> 919;

2024 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
919 -> 2024 [arrowhead = none ];
2024 -> 920;

2025 [label="EVAL with clause\np(s(X1371), X1371).\nand substitution\nT312 -> T313\nX1371 -> T313\nX1369 -> T313", fontsize=14, style = filled, fillcolor = lightblue];
920 -> 2025 [arrowhead = none ];
2025 -> 921;

2026 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
921 -> 2026 [arrowhead = none ];
2026 -> 922;

2027 [label="EVAL with clause\nquot(0, s(X1375), s(X1376), X1377) :- ','(!, eq(X1377, 0)).\nand substitution\nT311 -> 0\nX1375 -> T314\nT313 -> s(T314)\nX1376 -> s(T314)\nX1377 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
922 -> 2027 [arrowhead = none ];
2027 -> 923;

2028 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
922 -> 2028 [arrowhead = none ];
2028 -> 924;

2029 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
923 -> 2029 [arrowhead = none ];
2029 -> 925;

2030 [label="EVAL with clause\nquot(X1383, 0, X1384, X1385) :- ','(!, ','(eq(X1384, s(X1386)), ','(p(X1385, X1387), quot(X1383, X1384, X1384, X1387)))).\nand substitution\nT311 -> T315\nX1383 -> T315\nT313 -> 0\nX1384 -> s(0)\nX1385 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
924 -> 2030 [arrowhead = none ];
2030 -> 929;

2031 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
924 -> 2031 [arrowhead = none ];
2031 -> 930;

2032 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
925 -> 2032 [arrowhead = none ];
2032 -> 926;

2033 [label="EVAL with clause\neq(X1379, X1379).\nand substitution\nX1379 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
926 -> 2033 [arrowhead = none ];
2033 -> 927;

2034 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
927 -> 2034 [arrowhead = none ];
2034 -> 928;

2035 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
929 -> 2035 [arrowhead = none ];
2035 -> 931;

2036 [label="EVAL with clause\nquot(s(X1394), X1395, X1396, X1397) :- ','(p(X1395, X1398), quot(X1394, X1398, X1396, X1397)).\nand substitution\nX1394 -> T316\nT311 -> s(T316)\nT313 -> T317\nX1395 -> T317\nX1396 -> s(T317)\nX1397 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
930 -> 2036 [arrowhead = none ];
2036 -> 936;

2037 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
930 -> 2037 [arrowhead = none ];
2037 -> 937;

2038 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
931 -> 2038 [arrowhead = none ];
2038 -> 932;

2039 [label="EVAL with clause\neq(X1389, X1389).\nand substitution\nX1389 -> s(0)\nX1386 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
932 -> 2039 [arrowhead = none ];
2039 -> 933;

2040 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
933 -> 2040 [arrowhead = none ];
2040 -> 934;

2041 [label="EVAL with clause\np(0, 0).\nand substitution\nX1387 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
934 -> 2041 [arrowhead = none ];
2041 -> 935;

2042 [label="INSTANCE with matching:\nT28 -> T315\nX86 -> X1387", fontsize=14, style = filled, fillcolor = lightgrey];
935 -> 2042 [arrowhead = none , style=dashed];
2042 -> 61[style=dashed];

2043 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
936 -> 2043 [arrowhead = none ];
2043 -> 938;

2044 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T316), T317, s(T317), 0), quot(X1383, 0, X1384, X1385))", fontsize=14, style = filled, fillcolor = white];
938 -> 2044 [arrowhead = none ];
2044 -> 939;

2045 [label="EVAL with clause\np(s(X1400), X1400).\nand substitution\nX1400 -> T318\nT317 -> s(T318)\nX1398 -> T318", fontsize=14, style = filled, fillcolor = lightblue];
939 -> 2045 [arrowhead = none ];
2045 -> 940;

2046 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
939 -> 2046 [arrowhead = none ];
2046 -> 941;

2047 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
940 -> 2047 [arrowhead = none ];
2047 -> 942;

2048 [label="EVAL with clause\nquot(0, s(X1404), s(X1405), X1406) :- ','(!, eq(X1406, 0)).\nand substitution\nT316 -> 0\nX1404 -> T319\nT318 -> s(T319)\nX1405 -> s(s(T319))\nX1406 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
942 -> 2048 [arrowhead = none ];
2048 -> 943;

2049 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
942 -> 2049 [arrowhead = none ];
2049 -> 944;

2050 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
943 -> 2050 [arrowhead = none ];
2050 -> 945;

2051 [label="EVAL with clause\nquot(X1412, 0, X1413, X1414) :- ','(!, ','(eq(X1413, s(X1415)), ','(p(X1414, X1416), quot(X1412, X1413, X1413, X1416)))).\nand substitution\nT316 -> T320\nX1412 -> T320\nT318 -> 0\nX1413 -> s(s(0))\nX1414 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
944 -> 2051 [arrowhead = none ];
2051 -> 949;

2052 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
944 -> 2052 [arrowhead = none ];
2052 -> 950;

2053 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
945 -> 2053 [arrowhead = none ];
2053 -> 946;

2054 [label="EVAL with clause\neq(X1408, X1408).\nand substitution\nX1408 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
946 -> 2054 [arrowhead = none ];
2054 -> 947;

2055 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
947 -> 2055 [arrowhead = none ];
2055 -> 948;

2056 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
949 -> 2056 [arrowhead = none ];
2056 -> 951;

2057 [label="EVAL with clause\nquot(s(X1423), X1424, X1425, X1426) :- ','(p(X1424, X1427), quot(X1423, X1427, X1425, X1426)).\nand substitution\nX1423 -> T321\nT316 -> s(T321)\nT318 -> T322\nX1424 -> T322\nX1425 -> s(s(T322))\nX1426 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
950 -> 2057 [arrowhead = none ];
2057 -> 956;

2058 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
950 -> 2058 [arrowhead = none ];
2058 -> 957;

2059 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
951 -> 2059 [arrowhead = none ];
2059 -> 952;

2060 [label="EVAL with clause\neq(X1418, X1418).\nand substitution\nX1418 -> s(s(0))\nX1415 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
952 -> 2060 [arrowhead = none ];
2060 -> 953;

2061 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
953 -> 2061 [arrowhead = none ];
2061 -> 954;

2062 [label="EVAL with clause\np(0, 0).\nand substitution\nX1416 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
954 -> 2062 [arrowhead = none ];
2062 -> 955;

2063 [label="INSTANCE with matching:\nT58 -> T320\nX214 -> X1416", fontsize=14, style = filled, fillcolor = lightgrey];
955 -> 2063 [arrowhead = none , style=dashed];
2063 -> 151[style=dashed];

2064 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
956 -> 2064 [arrowhead = none ];
2064 -> 958;

2065 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T321), T322, s(s(T322)), 0), quot(X1412, 0, X1413, X1414))", fontsize=14, style = filled, fillcolor = white];
958 -> 2065 [arrowhead = none ];
2065 -> 959;

2066 [label="EVAL with clause\np(s(X1429), X1429).\nand substitution\nX1429 -> T323\nT322 -> s(T323)\nX1427 -> T323", fontsize=14, style = filled, fillcolor = lightblue];
959 -> 2066 [arrowhead = none ];
2066 -> 960;

2067 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
959 -> 2067 [arrowhead = none ];
2067 -> 961;

2068 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
960 -> 2068 [arrowhead = none ];
2068 -> 962;

2069 [label="EVAL with clause\nquot(0, s(X1433), s(X1434), X1435) :- ','(!, eq(X1435, 0)).\nand substitution\nT321 -> 0\nX1433 -> T324\nT323 -> s(T324)\nX1434 -> s(s(s(T324)))\nX1435 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
962 -> 2069 [arrowhead = none ];
2069 -> 963;

2070 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
962 -> 2070 [arrowhead = none ];
2070 -> 964;

2071 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
963 -> 2071 [arrowhead = none ];
2071 -> 965;

2072 [label="EVAL with clause\nquot(X1441, 0, X1442, X1443) :- ','(!, ','(eq(X1442, s(X1444)), ','(p(X1443, X1445), quot(X1441, X1442, X1442, X1445)))).\nand substitution\nT321 -> T325\nX1441 -> T325\nT323 -> 0\nX1442 -> s(s(s(0)))\nX1443 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
964 -> 2072 [arrowhead = none ];
2072 -> 969;

2073 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
964 -> 2073 [arrowhead = none ];
2073 -> 970;

2074 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
965 -> 2074 [arrowhead = none ];
2074 -> 966;

2075 [label="EVAL with clause\neq(X1437, X1437).\nand substitution\nX1437 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
966 -> 2075 [arrowhead = none ];
2075 -> 967;

2076 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
967 -> 2076 [arrowhead = none ];
2076 -> 968;

2077 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
969 -> 2077 [arrowhead = none ];
2077 -> 971;

2078 [label="EVAL with clause\nquot(s(X1452), X1453, X1454, X1455) :- ','(p(X1453, X1456), quot(X1452, X1456, X1454, X1455)).\nand substitution\nX1452 -> T326\nT321 -> s(T326)\nT323 -> T327\nX1453 -> T327\nX1454 -> s(s(s(T327)))\nX1455 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
970 -> 2078 [arrowhead = none ];
2078 -> 976;

2079 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
970 -> 2079 [arrowhead = none ];
2079 -> 977;

2080 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
971 -> 2080 [arrowhead = none ];
2080 -> 972;

2081 [label="EVAL with clause\neq(X1447, X1447).\nand substitution\nX1447 -> s(s(s(0)))\nX1444 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
972 -> 2081 [arrowhead = none ];
2081 -> 973;

2082 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
973 -> 2082 [arrowhead = none ];
2082 -> 974;

2083 [label="EVAL with clause\np(0, 0).\nand substitution\nX1445 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
974 -> 2083 [arrowhead = none ];
2083 -> 975;

2084 [label="INSTANCE with matching:\nT95 -> T325\nX386 -> X1445", fontsize=14, style = filled, fillcolor = lightgrey];
975 -> 2084 [arrowhead = none , style=dashed];
2084 -> 268[style=dashed];

2085 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
976 -> 2085 [arrowhead = none ];
2085 -> 978;

2086 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T326), T327, s(s(s(T327))), 0), quot(X1441, 0, X1442, X1443))", fontsize=14, style = filled, fillcolor = white];
978 -> 2086 [arrowhead = none ];
2086 -> 979;

2087 [label="EVAL with clause\np(s(X1458), X1458).\nand substitution\nX1458 -> T328\nT327 -> s(T328)\nX1456 -> T328", fontsize=14, style = filled, fillcolor = lightblue];
979 -> 2087 [arrowhead = none ];
2087 -> 980;

2088 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
979 -> 2088 [arrowhead = none ];
2088 -> 981;

2089 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
980 -> 2089 [arrowhead = none ];
2089 -> 982;

2090 [label="EVAL with clause\nquot(0, s(X1462), s(X1463), X1464) :- ','(!, eq(X1464, 0)).\nand substitution\nT326 -> 0\nX1462 -> T329\nT328 -> s(T329)\nX1463 -> s(s(s(s(T329))))\nX1464 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
982 -> 2090 [arrowhead = none ];
2090 -> 983;

2091 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
982 -> 2091 [arrowhead = none ];
2091 -> 984;

2092 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
983 -> 2092 [arrowhead = none ];
2092 -> 985;

2093 [label="EVAL with clause\nquot(X1470, 0, X1471, X1472) :- ','(!, ','(eq(X1471, s(X1473)), ','(p(X1472, X1474), quot(X1470, X1471, X1471, X1474)))).\nand substitution\nT326 -> T330\nX1470 -> T330\nT328 -> 0\nX1471 -> s(s(s(s(0))))\nX1472 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
984 -> 2093 [arrowhead = none ];
2093 -> 989;

2094 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
984 -> 2094 [arrowhead = none ];
2094 -> 990;

2095 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
985 -> 2095 [arrowhead = none ];
2095 -> 986;

2096 [label="EVAL with clause\neq(X1466, X1466).\nand substitution\nX1466 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
986 -> 2096 [arrowhead = none ];
2096 -> 987;

2097 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
987 -> 2097 [arrowhead = none ];
2097 -> 988;

2098 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
989 -> 2098 [arrowhead = none ];
2098 -> 991;

2099 [label="EVAL with clause\nquot(s(X1481), X1482, X1483, X1484) :- ','(p(X1482, X1485), quot(X1481, X1485, X1483, X1484)).\nand substitution\nX1481 -> T331\nT326 -> s(T331)\nT328 -> T332\nX1482 -> T332\nX1483 -> s(s(s(s(T332))))\nX1484 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
990 -> 2099 [arrowhead = none ];
2099 -> 996;

2100 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
990 -> 2100 [arrowhead = none ];
2100 -> 997;

2101 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
991 -> 2101 [arrowhead = none ];
2101 -> 992;

2102 [label="EVAL with clause\neq(X1476, X1476).\nand substitution\nX1476 -> s(s(s(s(0))))\nX1473 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
992 -> 2102 [arrowhead = none ];
2102 -> 993;

2103 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
993 -> 2103 [arrowhead = none ];
2103 -> 994;

2104 [label="EVAL with clause\np(0, 0).\nand substitution\nX1474 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
994 -> 2104 [arrowhead = none ];
2104 -> 995;

2105 [label="INSTANCE with matching:\nT139 -> T330\nX602 -> X1474", fontsize=14, style = filled, fillcolor = lightgrey];
995 -> 2105 [arrowhead = none , style=dashed];
2105 -> 412[style=dashed];

2106 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
996 -> 2106 [arrowhead = none ];
2106 -> 998;

2107 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T331), T332, s(s(s(s(T332)))), 0), quot(X1470, 0, X1471, X1472))", fontsize=14, style = filled, fillcolor = white];
998 -> 2107 [arrowhead = none ];
2107 -> 999;

2108 [label="EVAL with clause\np(s(X1487), X1487).\nand substitution\nX1487 -> T333\nT332 -> s(T333)\nX1485 -> T333", fontsize=14, style = filled, fillcolor = lightblue];
999 -> 2108 [arrowhead = none ];
2108 -> 1000;

2109 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
999 -> 2109 [arrowhead = none ];
2109 -> 1001;

2110 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1000 -> 2110 [arrowhead = none ];
2110 -> 1002;

2111 [label="EVAL with clause\nquot(0, s(X1491), s(X1492), X1493) :- ','(!, eq(X1493, 0)).\nand substitution\nT331 -> 0\nX1491 -> T334\nT333 -> s(T334)\nX1492 -> s(s(s(s(s(T334)))))\nX1493 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1002 -> 2111 [arrowhead = none ];
2111 -> 1003;

2112 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1002 -> 2112 [arrowhead = none ];
2112 -> 1004;

2113 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1003 -> 2113 [arrowhead = none ];
2113 -> 1005;

2114 [label="EVAL with clause\nquot(X1499, 0, X1500, X1501) :- ','(!, ','(eq(X1500, s(X1502)), ','(p(X1501, X1503), quot(X1499, X1500, X1500, X1503)))).\nand substitution\nT331 -> T335\nX1499 -> T335\nT333 -> 0\nX1500 -> s(s(s(s(s(0)))))\nX1501 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1004 -> 2114 [arrowhead = none ];
2114 -> 1009;

2115 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1004 -> 2115 [arrowhead = none ];
2115 -> 1010;

2116 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1005 -> 2116 [arrowhead = none ];
2116 -> 1006;

2117 [label="EVAL with clause\neq(X1495, X1495).\nand substitution\nX1495 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1006 -> 2117 [arrowhead = none ];
2117 -> 1007;

2118 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1007 -> 2118 [arrowhead = none ];
2118 -> 1008;

2119 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1009 -> 2119 [arrowhead = none ];
2119 -> 1011;

2120 [label="EVAL with clause\nquot(s(X1510), X1511, X1512, X1513) :- ','(p(X1511, X1514), quot(X1510, X1514, X1512, X1513)).\nand substitution\nX1510 -> T336\nT331 -> s(T336)\nT333 -> T337\nX1511 -> T337\nX1512 -> s(s(s(s(s(T337)))))\nX1513 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1010 -> 2120 [arrowhead = none ];
2120 -> 1016;

2121 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1010 -> 2121 [arrowhead = none ];
2121 -> 1017;

2122 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1011 -> 2122 [arrowhead = none ];
2122 -> 1012;

2123 [label="EVAL with clause\neq(X1505, X1505).\nand substitution\nX1505 -> s(s(s(s(s(0)))))\nX1502 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
1012 -> 2123 [arrowhead = none ];
2123 -> 1013;

2124 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1013 -> 2124 [arrowhead = none ];
2124 -> 1014;

2125 [label="EVAL with clause\np(0, 0).\nand substitution\nX1503 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1014 -> 2125 [arrowhead = none ];
2125 -> 1015;

2126 [label="INSTANCE with matching:\nT190 -> T335\nX862 -> X1503", fontsize=14, style = filled, fillcolor = lightgrey];
1015 -> 2126 [arrowhead = none , style=dashed];
2126 -> 583[style=dashed];

2127 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1016 -> 2127 [arrowhead = none ];
2127 -> 1018;

2128 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T336), T337, s(s(s(s(s(T337))))), 0), quot(X1499, 0, X1500, X1501))", fontsize=14, style = filled, fillcolor = white];
1018 -> 2128 [arrowhead = none ];
2128 -> 1019;

2129 [label="EVAL with clause\np(s(X1516), X1516).\nand substitution\nX1516 -> T338\nT337 -> s(T338)\nX1514 -> T338", fontsize=14, style = filled, fillcolor = lightblue];
1019 -> 2129 [arrowhead = none ];
2129 -> 1020;

2130 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1019 -> 2130 [arrowhead = none ];
2130 -> 1021;

2131 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1020 -> 2131 [arrowhead = none ];
2131 -> 1022;

2132 [label="EVAL with clause\nquot(0, s(X1520), s(X1521), X1522) :- ','(!, eq(X1522, 0)).\nand substitution\nT336 -> 0\nX1520 -> T339\nT338 -> s(T339)\nX1521 -> s(s(s(s(s(s(T339))))))\nX1522 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1022 -> 2132 [arrowhead = none ];
2132 -> 1023;

2133 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1022 -> 2133 [arrowhead = none ];
2133 -> 1024;

2134 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1023 -> 2134 [arrowhead = none ];
2134 -> 1025;

2135 [label="EVAL with clause\nquot(X1528, 0, X1529, X1530) :- ','(!, ','(eq(X1529, s(X1531)), ','(p(X1530, X1532), quot(X1528, X1529, X1529, X1532)))).\nand substitution\nT336 -> T340\nX1528 -> T340\nT338 -> 0\nX1529 -> s(s(s(s(s(s(0))))))\nX1530 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1024 -> 2135 [arrowhead = none ];
2135 -> 1029;

2136 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1024 -> 2136 [arrowhead = none ];
2136 -> 1030;

2137 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1025 -> 2137 [arrowhead = none ];
2137 -> 1026;

2138 [label="EVAL with clause\neq(X1524, X1524).\nand substitution\nX1524 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1026 -> 2138 [arrowhead = none ];
2138 -> 1027;

2139 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1027 -> 2139 [arrowhead = none ];
2139 -> 1028;

2140 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1029 -> 2140 [arrowhead = none ];
2140 -> 1031;

2141 [label="EVAL with clause\nquot(s(X1539), X1540, X1541, X1542) :- ','(p(X1540, X1543), quot(X1539, X1543, X1541, X1542)).\nand substitution\nX1539 -> T341\nT336 -> s(T341)\nT338 -> T342\nX1540 -> T342\nX1541 -> s(s(s(s(s(s(T342))))))\nX1542 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1030 -> 2141 [arrowhead = none ];
2141 -> 1036;

2142 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1030 -> 2142 [arrowhead = none ];
2142 -> 1037;

2143 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1031 -> 2143 [arrowhead = none ];
2143 -> 1032;

2144 [label="EVAL with clause\neq(X1534, X1534).\nand substitution\nX1534 -> s(s(s(s(s(s(0))))))\nX1531 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
1032 -> 2144 [arrowhead = none ];
2144 -> 1033;

2145 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1033 -> 2145 [arrowhead = none ];
2145 -> 1034;

2146 [label="EVAL with clause\np(0, 0).\nand substitution\nX1532 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1034 -> 2146 [arrowhead = none ];
2146 -> 1035;

2147 [label="INSTANCE with matching:\nT248 -> T340\nX1166 -> X1532", fontsize=14, style = filled, fillcolor = lightgrey];
1035 -> 2147 [arrowhead = none , style=dashed];
2147 -> 781[style=dashed];

2148 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1036 -> 2148 [arrowhead = none ];
2148 -> 1038;

2149 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T341), T342, s(s(s(s(s(s(T342)))))), 0), quot(X1528, 0, X1529, X1530))", fontsize=14, style = filled, fillcolor = white];
1038 -> 2149 [arrowhead = none ];
2149 -> 1039;

2150 [label="EVAL with clause\np(s(X1545), X1545).\nand substitution\nX1545 -> T343\nT342 -> s(T343)\nX1543 -> T343", fontsize=14, style = filled, fillcolor = lightblue];
1039 -> 2150 [arrowhead = none ];
2150 -> 1040;

2151 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1039 -> 2151 [arrowhead = none ];
2151 -> 1041;

2152 [label="GENERALIZATION\nT344 <-- s(s(s(s(s(s(T343))))))\n\nNew Knowledge:\nT344 is ground", fontsize=14, style = filled, fillcolor = violet];
1040 -> 2152 [arrowhead = none ];
2152 -> 1042;

2153 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1042 -> 2153 [arrowhead = none ];
2153 -> 1043;

2154 [label="EVAL with clause\nquot(0, s(X1549), s(X1550), X1551) :- ','(!, eq(X1551, 0)).\nand substitution\nT341 -> 0\nX1549 -> T345\nT343 -> s(T345)\nT344 -> T346\nX1550 -> T346\nX1551 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1043 -> 2154 [arrowhead = none ];
2154 -> 1044;

2155 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1043 -> 2155 [arrowhead = none ];
2155 -> 1045;

2156 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1044 -> 2156 [arrowhead = none ];
2156 -> 1046;

2157 [label="EVAL with clause\nquot(X1557, 0, X1558, X1559) :- ','(!, ','(eq(X1558, s(X1560)), ','(p(X1559, X1561), quot(X1557, X1558, X1558, X1561)))).\nand substitution\nT341 -> T347\nX1557 -> T347\nT343 -> 0\nT344 -> T348\nX1558 -> s(T348)\nX1559 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1045 -> 2157 [arrowhead = none ];
2157 -> 1050;

2158 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1045 -> 2158 [arrowhead = none ];
2158 -> 1051;

2159 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1046 -> 2159 [arrowhead = none ];
2159 -> 1047;

2160 [label="EVAL with clause\neq(X1553, X1553).\nand substitution\nX1553 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1047 -> 2160 [arrowhead = none ];
2160 -> 1048;

2161 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1048 -> 2161 [arrowhead = none ];
2161 -> 1049;

2162 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1050 -> 2162 [arrowhead = none ];
2162 -> 1052;

2163 [label="EVAL with clause\nquot(s(X1569), X1570, X1571, X1572) :- ','(p(X1570, X1573), quot(X1569, X1573, X1571, X1572)).\nand substitution\nX1569 -> T350\nT341 -> s(T350)\nT343 -> T351\nX1570 -> T351\nT344 -> T352\nX1571 -> s(T352)\nX1572 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1051 -> 2163 [arrowhead = none ];
2163 -> 1060;

2164 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1051 -> 2164 [arrowhead = none ];
2164 -> 1061;

2165 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1052 -> 2165 [arrowhead = none ];
2165 -> 1053;

2166 [label="EVAL with clause\neq(X1563, X1563).\nand substitution\nT348 -> T349\nX1563 -> s(T349)\nX1560 -> T349", fontsize=14, style = filled, fillcolor = lightblue];
1053 -> 2166 [arrowhead = none ];
2166 -> 1054;

2167 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1054 -> 2167 [arrowhead = none ];
2167 -> 1055;

2168 [label="EVAL with clause\np(0, 0).\nand substitution\nX1561 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1055 -> 2168 [arrowhead = none ];
2168 -> 1056;

2169 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1056 -> 2169 [arrowhead = none ];
2169 -> 1057;

2170 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1056 -> 2170 [arrowhead = none ];
2170 -> 1058;

2171 [label="INSTANCE with matching:\nT305 -> T347\nT309 -> T349", fontsize=14, style = filled, fillcolor = lightgrey];
1057 -> 2171 [arrowhead = none , style=dashed];
2171 -> 907[style=dashed];

2172 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
1058 -> 2172 [arrowhead = none ];
2172 -> 1059;

2173 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1060 -> 2173 [arrowhead = none ];
2173 -> 1062;

2174 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T350), T351, s(T352), 0), quot(X1557, 0, X1558, X1559))", fontsize=14, style = filled, fillcolor = white];
1062 -> 2174 [arrowhead = none ];
2174 -> 1063;

2175 [label="EVAL with clause\np(s(X1575), X1575).\nand substitution\nX1575 -> T353\nT351 -> s(T353)\nX1573 -> T353", fontsize=14, style = filled, fillcolor = lightblue];
1063 -> 2175 [arrowhead = none ];
2175 -> 1064;

2176 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1063 -> 2176 [arrowhead = none ];
2176 -> 1065;

2177 [label="INSTANCE with matching:\nT341 -> T350\nT343 -> T353\nT344 -> T352", fontsize=14, style = filled, fillcolor = lightgrey];
1064 -> 2177 [arrowhead = none , style=dashed];
2177 -> 1042[style=dashed];

2178 [label="INSTANCE with matching:\nT4 -> T305\nT5 -> s(T309)\nT7 -> T355", fontsize=14, style = filled, fillcolor = lightgrey];
1066 -> 2178 [arrowhead = none , style=dashed];
2178 -> 3[style=dashed];

2179 [label="INSTANCE with matching:\nT4 -> T305\nT5 -> s(T309)\nT7 -> T357", fontsize=14, style = filled, fillcolor = lightgrey];
1068 -> 2179 [arrowhead = none , style=dashed];
2179 -> 3[style=dashed];

2180 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1070 -> 2180 [arrowhead = none ];
2180 -> 1072;

2181 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (quot(s(T358), T359, s(T360), T297), quot(X1343, 0, X1344, X1345))", fontsize=14, style = filled, fillcolor = white];
1072 -> 2181 [arrowhead = none ];
2181 -> 1073;

2182 [label="EVAL with clause\np(s(X1590), X1590).\nand substitution\nX1590 -> T363\nT359 -> s(T363)\nX1588 -> T363", fontsize=14, style = filled, fillcolor = lightblue];
1073 -> 2182 [arrowhead = none ];
2182 -> 1074;

2183 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1073 -> 2183 [arrowhead = none ];
2183 -> 1075;

2184 [label="INSTANCE with matching:\nT294 -> T358\nT298 -> T363\nT299 -> T360\nT297 -> T362", fontsize=14, style = filled, fillcolor = lightgrey];
1074 -> 2184 [arrowhead = none , style=dashed];
2184 -> 890[style=dashed];

}

(2) Obligation:

Clauses:

quot39(0).
quot39(s(T28)) :- quot39(T28).
quot37(0, T26, X51).
quot37(s(T28), T26, X51) :- quot39(T28).
quot37(0, s(0), 0).
quot37(s(T37), s(0), 0) :- quot37(T37, T39, X124).
quot37(s(T37), s(s(T41)), s(T41)) :- quot65(T37, T41).
quot65(0, 0).
quot65(s(T37), 0) :- quot37(T37, T39, X124).
quot65(s(T37), s(T41)) :- quot65(T37, T41).
quot116(0).
quot116(s(0)).
quot116(s(s(T58))) :- quot116(T58).
quot114(0, T55, X157).
quot114(s(0), T55, X157).
quot114(s(s(T58)), T55, X157) :- quot116(T58).
quot114(0, s(0), 0).
quot114(s(0), s(0), 0).
quot114(s(s(T73)), s(0), 0) :- quot114(T73, T75, X274).
quot114(s(s(T73)), s(s(T77)), s(T77)) :- quot155(T73, T77).
quot155(0, 0).
quot155(s(0), 0).
quot155(s(s(T73)), 0) :- quot114(T73, T75, X274).
quot155(s(s(T73)), s(T77)) :- quot155(T73, T77).
quot220(0).
quot220(s(0)).
quot220(s(s(0))).
quot220(s(s(s(T95)))) :- quot220(T95).
quot218(0, T91, X307).
quot218(s(0), T91, X307).
quot218(s(s(0)), T91, X307).
quot218(s(s(s(T95))), T91, X307) :- quot220(T95).
quot218(0, s(0), 0).
quot218(s(0), s(0), 0).
quot218(s(s(0)), s(0), 0).
quot218(s(s(s(T116))), s(0), 0) :- quot218(T116, T118, X468).
quot218(s(s(s(T116))), s(s(T120)), s(T120)) :- quot272(T116, T120).
quot272(0, 0).
quot272(s(0), 0).
quot272(s(s(0)), 0).
quot272(s(s(s(T116))), 0) :- quot218(T116, T118, X468).
quot272(s(s(s(T116))), s(T120)) :- quot272(T116, T120).
quot351(0).
quot351(s(0)).
quot351(s(s(0))).
quot351(s(s(s(0)))).
quot351(s(s(s(s(T139))))) :- quot351(T139).
quot349(0, T134, X501).
quot349(s(0), T134, X501).
quot349(s(s(0)), T134, X501).
quot349(s(s(s(0))), T134, X501).
quot349(s(s(s(s(T139)))), T134, X501) :- quot351(T139).
quot349(0, s(0), 0).
quot349(s(0), s(0), 0).
quot349(s(s(0)), s(0), 0).
quot349(s(s(s(0))), s(0), 0).
quot349(s(s(s(s(T166)))), s(0), 0) :- quot349(T166, T168, X706).
quot349(s(s(s(s(T166)))), s(s(T170)), s(T170)) :- quot416(T166, T170).
quot416(0, 0).
quot416(s(0), 0).
quot416(s(s(0)), 0).
quot416(s(s(s(0))), 0).
quot416(s(s(s(s(T166)))), 0) :- quot349(T166, T168, X706).
quot416(s(s(s(s(T166)))), s(T170)) :- quot416(T166, T170).
quot509(0).
quot509(s(0)).
quot509(s(s(0))).
quot509(s(s(s(0)))).
quot509(s(s(s(s(0))))).
quot509(s(s(s(s(s(T190)))))) :- quot509(T190).
quot507(0, T184, X739).
quot507(s(0), T184, X739).
quot507(s(s(0)), T184, X739).
quot507(s(s(s(0))), T184, X739).
quot507(s(s(s(s(0)))), T184, X739).
quot507(s(s(s(s(s(T190))))), T184, X739) :- quot509(T190).
quot507(0, s(0), 0).
quot507(s(0), s(0), 0).
quot507(s(s(0)), s(0), 0).
quot507(s(s(s(0))), s(0), 0).
quot507(s(s(s(s(0)))), s(0), 0).
quot507(s(s(s(s(s(T223))))), s(0), 0) :- quot507(T223, T225, X988).
quot507(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) :- quot587(T223, T227).
quot587(0, 0).
quot587(s(0), 0).
quot587(s(s(0)), 0).
quot587(s(s(s(0))), 0).
quot587(s(s(s(s(0)))), 0).
quot587(s(s(s(s(s(T223))))), 0) :- quot507(T223, T225, X988).
quot587(s(s(s(s(s(T223))))), s(T227)) :- quot587(T223, T227).
quot694(0).
quot694(s(0)).
quot694(s(s(0))).
quot694(s(s(s(0)))).
quot694(s(s(s(s(0))))).
quot694(s(s(s(s(s(0)))))).
quot694(s(s(s(s(s(s(T248))))))) :- quot694(T248).
quot692(0, T241, X1021).
quot692(s(0), T241, X1021).
quot692(s(s(0)), T241, X1021).
quot692(s(s(s(0))), T241, X1021).
quot692(s(s(s(s(0)))), T241, X1021).
quot692(s(s(s(s(s(0))))), T241, X1021).
quot692(s(s(s(s(s(s(T248)))))), T241, X1021) :- quot694(T248).
quot692(0, s(0), 0).
quot692(s(0), s(0), 0).
quot692(s(s(0)), s(0), 0).
quot692(s(s(s(0))), s(0), 0).
quot692(s(s(s(s(0)))), s(0), 0).
quot692(s(s(s(s(s(0))))), s(0), 0).
quot692(s(s(s(s(s(s(T287)))))), s(0), 0) :- quot692(T287, T289, X1314).
quot692(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) :- quot785(T287, T291).
quot785(0, 0).
quot785(s(0), 0).
quot785(s(s(0)), 0).
quot785(s(s(s(0))), 0).
quot785(s(s(s(s(0)))), 0).
quot785(s(s(s(s(s(0))))), 0).
quot785(s(s(s(s(s(s(T287)))))), 0) :- quot692(T287, T289, X1314).
quot785(s(s(s(s(s(s(T287)))))), s(T291)) :- quot785(T287, T291).
quot61(T28, X86) :- quot39(T28).
quot151(T58, X214) :- quot116(T58).
quot268(T95, X386) :- quot220(T95).
quot412(T139, X602) :- quot351(T139).
quot583(T190, X862) :- quot509(T190).
quot781(T248, X1166) :- quot694(T248).
quot907(0, T310).
quot907(s(0), s(T314)).
quot907(s(T315), 0) :- quot61(T315, X1387).
quot907(s(s(0)), s(s(T319))).
quot907(s(s(T320)), s(0)) :- quot151(T320, X1416).
quot907(s(s(s(0))), s(s(s(T324)))).
quot907(s(s(s(T325))), s(s(0))) :- quot268(T325, X1445).
quot907(s(s(s(s(0)))), s(s(s(s(T329))))).
quot907(s(s(s(s(T330)))), s(s(s(0)))) :- quot412(T330, X1474).
quot907(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))).
quot907(s(s(s(s(s(T335))))), s(s(s(s(0))))) :- quot583(T335, X1503).
quot907(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))).
quot907(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) :- quot781(T340, X1532).
quot907(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))).
quot907(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) :- quot907(T347, T349).
quot907(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) :- quot1042(T350, T353, T352).
quot1042(0, s(T345), T346).
quot1042(T347, 0, T349) :- quot907(T347, T349).
quot1042(s(T350), s(T353), T352) :- quot1042(T350, T353, T352).
quot3(0, s(T8), 0).
quot3(s(0), s(s(T20)), 0).
quot3(s(0), s(0), 0).
quot3(s(s(T28)), s(0), 0) :- quot39(T28).
quot3(s(0), s(0), s(0)).
quot3(s(s(T37)), s(0), s(0)) :- quot37(T37, T39, X124).
quot3(s(s(T37)), s(0), s(s(T41))) :- quot65(T37, T41).
quot3(s(T24), s(0), s(T43)) :- quot65(T24, T43).
quot3(s(s(0)), s(s(s(T49))), 0).
quot3(s(s(0)), s(s(0)), 0).
quot3(s(s(s(0))), s(s(0)), 0).
quot3(s(s(s(s(T58)))), s(s(0)), 0) :- quot116(T58).
quot3(s(s(0)), s(s(0)), s(0)).
quot3(s(s(s(0))), s(s(0)), s(0)).
quot3(s(s(s(s(T73)))), s(s(0)), s(0)) :- quot114(T73, T75, X274).
quot3(s(s(s(s(T73)))), s(s(0)), s(s(T77))) :- quot155(T73, T77).
quot3(s(s(T53)), s(s(0)), s(T79)) :- quot155(T53, T79).
quot3(s(s(s(0))), s(s(s(s(T85)))), 0).
quot3(s(s(s(0))), s(s(s(0))), 0).
quot3(s(s(s(s(0)))), s(s(s(0))), 0).
quot3(s(s(s(s(s(0))))), s(s(s(0))), 0).
quot3(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) :- quot220(T95).
quot3(s(s(s(0))), s(s(s(0))), s(0)).
quot3(s(s(s(s(0)))), s(s(s(0))), s(0)).
quot3(s(s(s(s(s(0))))), s(s(s(0))), s(0)).
quot3(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) :- quot218(T116, T118, X468).
quot3(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) :- quot272(T116, T120).
quot3(s(s(s(T89))), s(s(s(0))), s(T122)) :- quot272(T89, T122).
quot3(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0).
quot3(s(s(s(s(0)))), s(s(s(s(0)))), 0).
quot3(s(s(s(s(s(0))))), s(s(s(s(0)))), 0).
quot3(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0).
quot3(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0).
quot3(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) :- quot351(T139).
quot3(s(s(s(s(0)))), s(s(s(s(0)))), s(0)).
quot3(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)).
quot3(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)).
quot3(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)).
quot3(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) :- quot349(T166, T168, X706).
quot3(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) :- quot416(T166, T170).
quot3(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) :- quot416(T132, T172).
quot3(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0).
quot3(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0).
quot3(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0).
quot3(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0).
quot3(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0).
quot3(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0).
quot3(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) :- quot509(T190).
quot3(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)).
quot3(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)).
quot3(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)).
quot3(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)).
quot3(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)).
quot3(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) :- quot507(T223, T225, X988).
quot3(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) :- quot587(T223, T227).
quot3(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) :- quot587(T182, T229).
quot3(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0).
quot3(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0).
quot3(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0).
quot3(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0).
quot3(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0).
quot3(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0).
quot3(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0).
quot3(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) :- quot694(T248).
quot3(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)).
quot3(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)).
quot3(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)).
quot3(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)).
quot3(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)).
quot3(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)).
quot3(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) :- quot692(T287, T289, X1314).
quot3(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) :- quot785(T287, T291).
quot3(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) :- quot785(T239, T293).
quot3(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0).
quot3(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0).
quot3(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0).
quot3(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot61(T315, X1387).
quot3(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0).
quot3(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot151(T320, X1416).
quot3(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0).
quot3(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot268(T325, X1445).
quot3(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0).
quot3(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot412(T330, X1474).
quot3(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0).
quot3(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot583(T335, X1503).
quot3(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0).
quot3(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot781(T340, X1532).
quot3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0).
quot3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot907(T347, T349).
quot3(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot1042(T350, T353, T352).
quot3(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) :- quot3(T305, s(T309), T355).
quot3(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) :- quot3(T305, s(T309), T357).
quot3(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) :- quot890(T358, T363, T360, T362).
quot890(0, s(T300), T301, 0).
quot890(0, 0, T310, 0).
quot890(s(0), 0, s(T314), 0).
quot890(s(T315), 0, 0, 0) :- quot61(T315, X1387).
quot890(s(s(0)), 0, s(s(T319)), 0).
quot890(s(s(T320)), 0, s(0), 0) :- quot151(T320, X1416).
quot890(s(s(s(0))), 0, s(s(s(T324))), 0).
quot890(s(s(s(T325))), 0, s(s(0)), 0) :- quot268(T325, X1445).
quot890(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0).
quot890(s(s(s(s(T330)))), 0, s(s(s(0))), 0) :- quot412(T330, X1474).
quot890(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0).
quot890(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) :- quot583(T335, X1503).
quot890(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0).
quot890(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) :- quot781(T340, X1532).
quot890(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0).
quot890(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) :- quot907(T347, T349).
quot890(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) :- quot1042(T350, T353, T352).
quot890(T305, 0, T309, s(T355)) :- quot3(T305, s(T309), T355).
quot890(T305, 0, T309, s(T357)) :- quot3(T305, s(T309), T357).
quot890(s(T358), s(T363), T360, T362) :- quot890(T358, T363, T360, T362).
div1(0, s(T8), 0).
div1(s(0), s(s(T20)), 0).
div1(s(0), s(0), 0).
div1(s(s(T28)), s(0), 0) :- quot39(T28).
div1(s(0), s(0), s(0)).
div1(s(s(T37)), s(0), s(0)) :- quot37(T37, T39, X124).
div1(s(s(T37)), s(0), s(s(T41))) :- quot65(T37, T41).
div1(s(T24), s(0), s(T43)) :- quot65(T24, T43).
div1(s(s(0)), s(s(s(T49))), 0).
div1(s(s(0)), s(s(0)), 0).
div1(s(s(s(0))), s(s(0)), 0).
div1(s(s(s(s(T58)))), s(s(0)), 0) :- quot116(T58).
div1(s(s(0)), s(s(0)), s(0)).
div1(s(s(s(0))), s(s(0)), s(0)).
div1(s(s(s(s(T73)))), s(s(0)), s(0)) :- quot114(T73, T75, X274).
div1(s(s(s(s(T73)))), s(s(0)), s(s(T77))) :- quot155(T73, T77).
div1(s(s(T53)), s(s(0)), s(T79)) :- quot155(T53, T79).
div1(s(s(s(0))), s(s(s(s(T85)))), 0).
div1(s(s(s(0))), s(s(s(0))), 0).
div1(s(s(s(s(0)))), s(s(s(0))), 0).
div1(s(s(s(s(s(0))))), s(s(s(0))), 0).
div1(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) :- quot220(T95).
div1(s(s(s(0))), s(s(s(0))), s(0)).
div1(s(s(s(s(0)))), s(s(s(0))), s(0)).
div1(s(s(s(s(s(0))))), s(s(s(0))), s(0)).
div1(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) :- quot218(T116, T118, X468).
div1(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) :- quot272(T116, T120).
div1(s(s(s(T89))), s(s(s(0))), s(T122)) :- quot272(T89, T122).
div1(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0).
div1(s(s(s(s(0)))), s(s(s(s(0)))), 0).
div1(s(s(s(s(s(0))))), s(s(s(s(0)))), 0).
div1(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0).
div1(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0).
div1(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) :- quot351(T139).
div1(s(s(s(s(0)))), s(s(s(s(0)))), s(0)).
div1(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)).
div1(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)).
div1(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)).
div1(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) :- quot349(T166, T168, X706).
div1(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) :- quot416(T166, T170).
div1(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) :- quot416(T132, T172).
div1(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0).
div1(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0).
div1(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0).
div1(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0).
div1(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0).
div1(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0).
div1(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) :- quot509(T190).
div1(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)).
div1(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)).
div1(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)).
div1(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)).
div1(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)).
div1(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) :- quot507(T223, T225, X988).
div1(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) :- quot587(T223, T227).
div1(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) :- quot587(T182, T229).
div1(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0).
div1(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0).
div1(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0).
div1(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0).
div1(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0).
div1(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0).
div1(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0).
div1(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) :- quot694(T248).
div1(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)).
div1(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)).
div1(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)).
div1(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)).
div1(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)).
div1(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)).
div1(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) :- quot692(T287, T289, X1314).
div1(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) :- quot785(T287, T291).
div1(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) :- quot785(T239, T293).
div1(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0).
div1(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0).
div1(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0).
div1(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot61(T315, X1387).
div1(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0).
div1(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot151(T320, X1416).
div1(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0).
div1(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot268(T325, X1445).
div1(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0).
div1(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot412(T330, X1474).
div1(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0).
div1(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot583(T335, X1503).
div1(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0).
div1(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot781(T340, X1532).
div1(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0).
div1(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot907(T347, T349).
div1(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) :- quot1042(T350, T353, T352).
div1(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) :- quot3(T305, s(T309), T355).
div1(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) :- quot3(T305, s(T309), T357).
div1(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) :- quot890(T358, T363, T360, T362).

Queries:

div1(g,g,a).

(3) PrologToPiTRSProof (SOUND transformation)

We use the technique of [LOPSTR]. With regard to the inferred argument filtering the predicates were used in the following modes:
div1_in: (b,b,f)
quot39_in: (b)
quot37_in: (b,f,f)
quot65_in: (b,f)
quot116_in: (b)
quot114_in: (b,f,f)
quot155_in: (b,f)
quot220_in: (b)
quot218_in: (b,f,f)
quot272_in: (b,f)
quot351_in: (b)
quot349_in: (b,f,f)
quot416_in: (b,f)
quot509_in: (b)
quot507_in: (b,f,f)
quot587_in: (b,f)
quot694_in: (b)
quot692_in: (b,f,f)
quot785_in: (b,f)
quot61_in: (b,f)
quot151_in: (b,f)
quot268_in: (b,f)
quot412_in: (b,f)
quot583_in: (b,f)
quot781_in: (b,f)
quot907_in: (b,f)
quot1042_in: (b,f,f)
quot3_in: (b,f,f)
quot890_in: (b,f,f,f) (b,b,f,f)
Transforming Prolog into the following Term Rewriting System:
Pi-finite rewrite system:
The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

Infinitary Constructor Rewriting Termination of PiTRS implies Termination of Prolog

(4) Obligation:

Pi-finite rewrite system:
The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(5) DependencyPairsProof (EQUIVALENT transformation)

Using Dependency Pairs [AG00,LOPSTR] we result in the following initial DP problem:
Pi DP problem:
The TRS P consists of the following rules:

DIV1_IN_GGA(s(s(T28)), s(0), 0) → U99_GGA(T28, quot39_in_g(T28))
DIV1_IN_GGA(s(s(T28)), s(0), 0) → QUOT39_IN_G(T28)
QUOT39_IN_G(s(T28)) → U1_G(T28, quot39_in_g(T28))
QUOT39_IN_G(s(T28)) → QUOT39_IN_G(T28)
DIV1_IN_GGA(s(s(T37)), s(0), s(0)) → U100_GGA(T37, quot37_in_gaa(T37, T39, X124))
DIV1_IN_GGA(s(s(T37)), s(0), s(0)) → QUOT37_IN_GAA(T37, T39, X124)
QUOT37_IN_GAA(s(T28), T26, X51) → U2_GAA(T28, T26, X51, quot39_in_g(T28))
QUOT37_IN_GAA(s(T28), T26, X51) → QUOT39_IN_G(T28)
QUOT37_IN_GAA(s(T37), s(0), 0) → U3_GAA(T37, quot37_in_gaa(T37, T39, X124))
QUOT37_IN_GAA(s(T37), s(0), 0) → QUOT37_IN_GAA(T37, T39, X124)
QUOT37_IN_GAA(s(T37), s(s(T41)), s(T41)) → U4_GAA(T37, T41, quot65_in_ga(T37, T41))
QUOT37_IN_GAA(s(T37), s(s(T41)), s(T41)) → QUOT65_IN_GA(T37, T41)
QUOT65_IN_GA(s(T37), 0) → U5_GA(T37, quot37_in_gaa(T37, T39, X124))
QUOT65_IN_GA(s(T37), 0) → QUOT37_IN_GAA(T37, T39, X124)
QUOT65_IN_GA(s(T37), s(T41)) → U6_GA(T37, T41, quot65_in_ga(T37, T41))
QUOT65_IN_GA(s(T37), s(T41)) → QUOT65_IN_GA(T37, T41)
DIV1_IN_GGA(s(s(T37)), s(0), s(s(T41))) → U101_GGA(T37, T41, quot65_in_ga(T37, T41))
DIV1_IN_GGA(s(s(T37)), s(0), s(s(T41))) → QUOT65_IN_GA(T37, T41)
DIV1_IN_GGA(s(T24), s(0), s(T43)) → U102_GGA(T24, T43, quot65_in_ga(T24, T43))
DIV1_IN_GGA(s(T24), s(0), s(T43)) → QUOT65_IN_GA(T24, T43)
DIV1_IN_GGA(s(s(s(s(T58)))), s(s(0)), 0) → U103_GGA(T58, quot116_in_g(T58))
DIV1_IN_GGA(s(s(s(s(T58)))), s(s(0)), 0) → QUOT116_IN_G(T58)
QUOT116_IN_G(s(s(T58))) → U7_G(T58, quot116_in_g(T58))
QUOT116_IN_G(s(s(T58))) → QUOT116_IN_G(T58)
DIV1_IN_GGA(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_GGA(T73, quot114_in_gaa(T73, T75, X274))
DIV1_IN_GGA(s(s(s(s(T73)))), s(s(0)), s(0)) → QUOT114_IN_GAA(T73, T75, X274)
QUOT114_IN_GAA(s(s(T58)), T55, X157) → U8_GAA(T58, T55, X157, quot116_in_g(T58))
QUOT114_IN_GAA(s(s(T58)), T55, X157) → QUOT116_IN_G(T58)
QUOT114_IN_GAA(s(s(T73)), s(0), 0) → U9_GAA(T73, quot114_in_gaa(T73, T75, X274))
QUOT114_IN_GAA(s(s(T73)), s(0), 0) → QUOT114_IN_GAA(T73, T75, X274)
QUOT114_IN_GAA(s(s(T73)), s(s(T77)), s(T77)) → U10_GAA(T73, T77, quot155_in_ga(T73, T77))
QUOT114_IN_GAA(s(s(T73)), s(s(T77)), s(T77)) → QUOT155_IN_GA(T73, T77)
QUOT155_IN_GA(s(s(T73)), 0) → U11_GA(T73, quot114_in_gaa(T73, T75, X274))
QUOT155_IN_GA(s(s(T73)), 0) → QUOT114_IN_GAA(T73, T75, X274)
QUOT155_IN_GA(s(s(T73)), s(T77)) → U12_GA(T73, T77, quot155_in_ga(T73, T77))
QUOT155_IN_GA(s(s(T73)), s(T77)) → QUOT155_IN_GA(T73, T77)
DIV1_IN_GGA(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_GGA(T73, T77, quot155_in_ga(T73, T77))
DIV1_IN_GGA(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → QUOT155_IN_GA(T73, T77)
DIV1_IN_GGA(s(s(T53)), s(s(0)), s(T79)) → U106_GGA(T53, T79, quot155_in_ga(T53, T79))
DIV1_IN_GGA(s(s(T53)), s(s(0)), s(T79)) → QUOT155_IN_GA(T53, T79)
DIV1_IN_GGA(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_GGA(T95, quot220_in_g(T95))
DIV1_IN_GGA(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → QUOT220_IN_G(T95)
QUOT220_IN_G(s(s(s(T95)))) → U13_G(T95, quot220_in_g(T95))
QUOT220_IN_G(s(s(s(T95)))) → QUOT220_IN_G(T95)
DIV1_IN_GGA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_GGA(T116, quot218_in_gaa(T116, T118, X468))
DIV1_IN_GGA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → QUOT218_IN_GAA(T116, T118, X468)
QUOT218_IN_GAA(s(s(s(T95))), T91, X307) → U14_GAA(T95, T91, X307, quot220_in_g(T95))
QUOT218_IN_GAA(s(s(s(T95))), T91, X307) → QUOT220_IN_G(T95)
QUOT218_IN_GAA(s(s(s(T116))), s(0), 0) → U15_GAA(T116, quot218_in_gaa(T116, T118, X468))
QUOT218_IN_GAA(s(s(s(T116))), s(0), 0) → QUOT218_IN_GAA(T116, T118, X468)
QUOT218_IN_GAA(s(s(s(T116))), s(s(T120)), s(T120)) → U16_GAA(T116, T120, quot272_in_ga(T116, T120))
QUOT218_IN_GAA(s(s(s(T116))), s(s(T120)), s(T120)) → QUOT272_IN_GA(T116, T120)
QUOT272_IN_GA(s(s(s(T116))), 0) → U17_GA(T116, quot218_in_gaa(T116, T118, X468))
QUOT272_IN_GA(s(s(s(T116))), 0) → QUOT218_IN_GAA(T116, T118, X468)
QUOT272_IN_GA(s(s(s(T116))), s(T120)) → U18_GA(T116, T120, quot272_in_ga(T116, T120))
QUOT272_IN_GA(s(s(s(T116))), s(T120)) → QUOT272_IN_GA(T116, T120)
DIV1_IN_GGA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_GGA(T116, T120, quot272_in_ga(T116, T120))
DIV1_IN_GGA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → QUOT272_IN_GA(T116, T120)
DIV1_IN_GGA(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_GGA(T89, T122, quot272_in_ga(T89, T122))
DIV1_IN_GGA(s(s(s(T89))), s(s(s(0))), s(T122)) → QUOT272_IN_GA(T89, T122)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_GGA(T139, quot351_in_g(T139))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → QUOT351_IN_G(T139)
QUOT351_IN_G(s(s(s(s(T139))))) → U19_G(T139, quot351_in_g(T139))
QUOT351_IN_G(s(s(s(s(T139))))) → QUOT351_IN_G(T139)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_GGA(T166, quot349_in_gaa(T166, T168, X706))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → QUOT349_IN_GAA(T166, T168, X706)
QUOT349_IN_GAA(s(s(s(s(T139)))), T134, X501) → U20_GAA(T139, T134, X501, quot351_in_g(T139))
QUOT349_IN_GAA(s(s(s(s(T139)))), T134, X501) → QUOT351_IN_G(T139)
QUOT349_IN_GAA(s(s(s(s(T166)))), s(0), 0) → U21_GAA(T166, quot349_in_gaa(T166, T168, X706))
QUOT349_IN_GAA(s(s(s(s(T166)))), s(0), 0) → QUOT349_IN_GAA(T166, T168, X706)
QUOT349_IN_GAA(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_GAA(T166, T170, quot416_in_ga(T166, T170))
QUOT349_IN_GAA(s(s(s(s(T166)))), s(s(T170)), s(T170)) → QUOT416_IN_GA(T166, T170)
QUOT416_IN_GA(s(s(s(s(T166)))), 0) → U23_GA(T166, quot349_in_gaa(T166, T168, X706))
QUOT416_IN_GA(s(s(s(s(T166)))), 0) → QUOT349_IN_GAA(T166, T168, X706)
QUOT416_IN_GA(s(s(s(s(T166)))), s(T170)) → U24_GA(T166, T170, quot416_in_ga(T166, T170))
QUOT416_IN_GA(s(s(s(s(T166)))), s(T170)) → QUOT416_IN_GA(T166, T170)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_GGA(T166, T170, quot416_in_ga(T166, T170))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → QUOT416_IN_GA(T166, T170)
DIV1_IN_GGA(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_GGA(T132, T172, quot416_in_ga(T132, T172))
DIV1_IN_GGA(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → QUOT416_IN_GA(T132, T172)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_GGA(T190, quot509_in_g(T190))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → QUOT509_IN_G(T190)
QUOT509_IN_G(s(s(s(s(s(T190)))))) → U25_G(T190, quot509_in_g(T190))
QUOT509_IN_G(s(s(s(s(s(T190)))))) → QUOT509_IN_G(T190)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_GGA(T223, quot507_in_gaa(T223, T225, X988))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → QUOT507_IN_GAA(T223, T225, X988)
QUOT507_IN_GAA(s(s(s(s(s(T190))))), T184, X739) → U26_GAA(T190, T184, X739, quot509_in_g(T190))
QUOT507_IN_GAA(s(s(s(s(s(T190))))), T184, X739) → QUOT509_IN_G(T190)
QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(0), 0) → U27_GAA(T223, quot507_in_gaa(T223, T225, X988))
QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(0), 0) → QUOT507_IN_GAA(T223, T225, X988)
QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_GAA(T223, T227, quot587_in_ga(T223, T227))
QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → QUOT587_IN_GA(T223, T227)
QUOT587_IN_GA(s(s(s(s(s(T223))))), 0) → U29_GA(T223, quot507_in_gaa(T223, T225, X988))
QUOT587_IN_GA(s(s(s(s(s(T223))))), 0) → QUOT507_IN_GAA(T223, T225, X988)
QUOT587_IN_GA(s(s(s(s(s(T223))))), s(T227)) → U30_GA(T223, T227, quot587_in_ga(T223, T227))
QUOT587_IN_GA(s(s(s(s(s(T223))))), s(T227)) → QUOT587_IN_GA(T223, T227)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_GGA(T223, T227, quot587_in_ga(T223, T227))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → QUOT587_IN_GA(T223, T227)
DIV1_IN_GGA(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_GGA(T182, T229, quot587_in_ga(T182, T229))
DIV1_IN_GGA(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → QUOT587_IN_GA(T182, T229)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_GGA(T248, quot694_in_g(T248))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → QUOT694_IN_G(T248)
QUOT694_IN_G(s(s(s(s(s(s(T248))))))) → U31_G(T248, quot694_in_g(T248))
QUOT694_IN_G(s(s(s(s(s(s(T248))))))) → QUOT694_IN_G(T248)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_GGA(T287, quot692_in_gaa(T287, T289, X1314))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT692_IN_GAA(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_GAA(T248, T241, X1021, quot694_in_g(T248))
QUOT692_IN_GAA(s(s(s(s(s(s(T248)))))), T241, X1021) → QUOT694_IN_G(T248)
QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_GAA(T287, quot692_in_gaa(T287, T289, X1314))
QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(0), 0) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_GAA(T287, T291, quot785_in_ga(T287, T291))
QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → QUOT785_IN_GA(T287, T291)
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), 0) → U35_GA(T287, quot692_in_gaa(T287, T289, X1314))
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), 0) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), s(T291)) → U36_GA(T287, T291, quot785_in_ga(T287, T291))
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), s(T291)) → QUOT785_IN_GA(T287, T291)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_GGA(T287, T291, quot785_in_ga(T287, T291))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → QUOT785_IN_GA(T287, T291)
DIV1_IN_GGA(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_GGA(T239, T293, quot785_in_ga(T239, T293))
DIV1_IN_GGA(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → QUOT785_IN_GA(T239, T293)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_GGA(T315, quot61_in_ga(T315, X1387))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT61_IN_GA(T315, X1387)
QUOT61_IN_GA(T28, X86) → U37_GA(T28, X86, quot39_in_g(T28))
QUOT61_IN_GA(T28, X86) → QUOT39_IN_G(T28)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_GGA(T320, quot151_in_ga(T320, X1416))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT151_IN_GA(T320, X1416)
QUOT151_IN_GA(T58, X214) → U38_GA(T58, X214, quot116_in_g(T58))
QUOT151_IN_GA(T58, X214) → QUOT116_IN_G(T58)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_GGA(T325, quot268_in_ga(T325, X1445))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT268_IN_GA(T325, X1445)
QUOT268_IN_GA(T95, X386) → U39_GA(T95, X386, quot220_in_g(T95))
QUOT268_IN_GA(T95, X386) → QUOT220_IN_G(T95)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_GGA(T330, quot412_in_ga(T330, X1474))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT412_IN_GA(T330, X1474)
QUOT412_IN_GA(T139, X602) → U40_GA(T139, X602, quot351_in_g(T139))
QUOT412_IN_GA(T139, X602) → QUOT351_IN_G(T139)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_GGA(T335, quot583_in_ga(T335, X1503))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT583_IN_GA(T335, X1503)
QUOT583_IN_GA(T190, X862) → U41_GA(T190, X862, quot509_in_g(T190))
QUOT583_IN_GA(T190, X862) → QUOT509_IN_G(T190)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_GGA(T340, quot781_in_ga(T340, X1532))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT781_IN_GA(T340, X1532)
QUOT781_IN_GA(T248, X1166) → U42_GA(T248, X1166, quot694_in_g(T248))
QUOT781_IN_GA(T248, X1166) → QUOT694_IN_G(T248)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_GGA(T347, quot907_in_ga(T347, T349))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT907_IN_GA(T347, T349)
QUOT907_IN_GA(s(T315), 0) → U43_GA(T315, quot61_in_ga(T315, X1387))
QUOT907_IN_GA(s(T315), 0) → QUOT61_IN_GA(T315, X1387)
QUOT907_IN_GA(s(s(T320)), s(0)) → U44_GA(T320, quot151_in_ga(T320, X1416))
QUOT907_IN_GA(s(s(T320)), s(0)) → QUOT151_IN_GA(T320, X1416)
QUOT907_IN_GA(s(s(s(T325))), s(s(0))) → U45_GA(T325, quot268_in_ga(T325, X1445))
QUOT907_IN_GA(s(s(s(T325))), s(s(0))) → QUOT268_IN_GA(T325, X1445)
QUOT907_IN_GA(s(s(s(s(T330)))), s(s(s(0)))) → U46_GA(T330, quot412_in_ga(T330, X1474))
QUOT907_IN_GA(s(s(s(s(T330)))), s(s(s(0)))) → QUOT412_IN_GA(T330, X1474)
QUOT907_IN_GA(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_GA(T335, quot583_in_ga(T335, X1503))
QUOT907_IN_GA(s(s(s(s(s(T335))))), s(s(s(s(0))))) → QUOT583_IN_GA(T335, X1503)
QUOT907_IN_GA(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_GA(T340, quot781_in_ga(T340, X1532))
QUOT907_IN_GA(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → QUOT781_IN_GA(T340, X1532)
QUOT907_IN_GA(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_GA(T347, quot907_in_ga(T347, T349))
QUOT907_IN_GA(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → QUOT907_IN_GA(T347, T349)
QUOT907_IN_GA(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_GA(T350, T353, quot1042_in_gaa(T350, T353, T352))
QUOT907_IN_GA(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → QUOT1042_IN_GAA(T350, T353, T352)
QUOT1042_IN_GAA(T347, 0, T349) → U51_GAA(T347, T349, quot907_in_ga(T347, T349))
QUOT1042_IN_GAA(T347, 0, T349) → QUOT907_IN_GA(T347, T349)
QUOT1042_IN_GAA(s(T350), s(T353), T352) → U52_GAA(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
QUOT1042_IN_GAA(s(T350), s(T353), T352) → QUOT1042_IN_GAA(T350, T353, T352)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_GGA(T350, quot1042_in_gaa(T350, T353, T352))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT1042_IN_GAA(T350, T353, T352)
DIV1_IN_GGA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_GGA(T305, T355, quot3_in_gaa(T305, s(T309), T355))
DIV1_IN_GGA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT3_IN_GAA(s(s(T28)), s(0), 0) → U53_GAA(T28, quot39_in_g(T28))
QUOT3_IN_GAA(s(s(T28)), s(0), 0) → QUOT39_IN_G(T28)
QUOT3_IN_GAA(s(s(T37)), s(0), s(0)) → U54_GAA(T37, quot37_in_gaa(T37, T39, X124))
QUOT3_IN_GAA(s(s(T37)), s(0), s(0)) → QUOT37_IN_GAA(T37, T39, X124)
QUOT3_IN_GAA(s(s(T37)), s(0), s(s(T41))) → U55_GAA(T37, T41, quot65_in_ga(T37, T41))
QUOT3_IN_GAA(s(s(T37)), s(0), s(s(T41))) → QUOT65_IN_GA(T37, T41)
QUOT3_IN_GAA(s(T24), s(0), s(T43)) → U56_GAA(T24, T43, quot65_in_ga(T24, T43))
QUOT3_IN_GAA(s(T24), s(0), s(T43)) → QUOT65_IN_GA(T24, T43)
QUOT3_IN_GAA(s(s(s(s(T58)))), s(s(0)), 0) → U57_GAA(T58, quot116_in_g(T58))
QUOT3_IN_GAA(s(s(s(s(T58)))), s(s(0)), 0) → QUOT116_IN_G(T58)
QUOT3_IN_GAA(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_GAA(T73, quot114_in_gaa(T73, T75, X274))
QUOT3_IN_GAA(s(s(s(s(T73)))), s(s(0)), s(0)) → QUOT114_IN_GAA(T73, T75, X274)
QUOT3_IN_GAA(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_GAA(T73, T77, quot155_in_ga(T73, T77))
QUOT3_IN_GAA(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → QUOT155_IN_GA(T73, T77)
QUOT3_IN_GAA(s(s(T53)), s(s(0)), s(T79)) → U60_GAA(T53, T79, quot155_in_ga(T53, T79))
QUOT3_IN_GAA(s(s(T53)), s(s(0)), s(T79)) → QUOT155_IN_GA(T53, T79)
QUOT3_IN_GAA(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_GAA(T95, quot220_in_g(T95))
QUOT3_IN_GAA(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → QUOT220_IN_G(T95)
QUOT3_IN_GAA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_GAA(T116, quot218_in_gaa(T116, T118, X468))
QUOT3_IN_GAA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → QUOT218_IN_GAA(T116, T118, X468)
QUOT3_IN_GAA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_GAA(T116, T120, quot272_in_ga(T116, T120))
QUOT3_IN_GAA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → QUOT272_IN_GA(T116, T120)
QUOT3_IN_GAA(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_GAA(T89, T122, quot272_in_ga(T89, T122))
QUOT3_IN_GAA(s(s(s(T89))), s(s(s(0))), s(T122)) → QUOT272_IN_GA(T89, T122)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_GAA(T139, quot351_in_g(T139))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → QUOT351_IN_G(T139)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_GAA(T166, quot349_in_gaa(T166, T168, X706))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → QUOT349_IN_GAA(T166, T168, X706)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_GAA(T166, T170, quot416_in_ga(T166, T170))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → QUOT416_IN_GA(T166, T170)
QUOT3_IN_GAA(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_GAA(T132, T172, quot416_in_ga(T132, T172))
QUOT3_IN_GAA(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → QUOT416_IN_GA(T132, T172)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_GAA(T190, quot509_in_g(T190))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → QUOT509_IN_G(T190)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_GAA(T223, quot507_in_gaa(T223, T225, X988))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → QUOT507_IN_GAA(T223, T225, X988)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_GAA(T223, T227, quot587_in_ga(T223, T227))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → QUOT587_IN_GA(T223, T227)
QUOT3_IN_GAA(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_GAA(T182, T229, quot587_in_ga(T182, T229))
QUOT3_IN_GAA(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → QUOT587_IN_GA(T182, T229)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_GAA(T248, quot694_in_g(T248))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → QUOT694_IN_G(T248)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_GAA(T287, quot692_in_gaa(T287, T289, X1314))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_GAA(T287, T291, quot785_in_ga(T287, T291))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → QUOT785_IN_GA(T287, T291)
QUOT3_IN_GAA(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_GAA(T239, T293, quot785_in_ga(T239, T293))
QUOT3_IN_GAA(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → QUOT785_IN_GA(T239, T293)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_GAA(T315, quot61_in_ga(T315, X1387))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT61_IN_GA(T315, X1387)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_GAA(T320, quot151_in_ga(T320, X1416))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT151_IN_GA(T320, X1416)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_GAA(T325, quot268_in_ga(T325, X1445))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT268_IN_GA(T325, X1445)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_GAA(T330, quot412_in_ga(T330, X1474))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT412_IN_GA(T330, X1474)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_GAA(T335, quot583_in_ga(T335, X1503))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT583_IN_GA(T335, X1503)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_GAA(T340, quot781_in_ga(T340, X1532))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT781_IN_GA(T340, X1532)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_GAA(T347, quot907_in_ga(T347, T349))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT907_IN_GA(T347, T349)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_GAA(T350, quot1042_in_gaa(T350, T353, T352))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT1042_IN_GAA(T350, T353, T352)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_GAA(T305, T355, quot3_in_gaa(T305, s(T309), T355))
QUOT3_IN_GAA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_GAA(T305, T357, quot3_in_gaa(T305, s(T309), T357))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_GAA(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → QUOT890_IN_GAAA(T358, T363, T360, T362)
QUOT890_IN_GAAA(s(T315), 0, 0, 0) → U88_GAAA(T315, quot61_in_ga(T315, X1387))
QUOT890_IN_GAAA(s(T315), 0, 0, 0) → QUOT61_IN_GA(T315, X1387)
QUOT890_IN_GAAA(s(s(T320)), 0, s(0), 0) → U89_GAAA(T320, quot151_in_ga(T320, X1416))
QUOT890_IN_GAAA(s(s(T320)), 0, s(0), 0) → QUOT151_IN_GA(T320, X1416)
QUOT890_IN_GAAA(s(s(s(T325))), 0, s(s(0)), 0) → U90_GAAA(T325, quot268_in_ga(T325, X1445))
QUOT890_IN_GAAA(s(s(s(T325))), 0, s(s(0)), 0) → QUOT268_IN_GA(T325, X1445)
QUOT890_IN_GAAA(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_GAAA(T330, quot412_in_ga(T330, X1474))
QUOT890_IN_GAAA(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → QUOT412_IN_GA(T330, X1474)
QUOT890_IN_GAAA(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_GAAA(T335, quot583_in_ga(T335, X1503))
QUOT890_IN_GAAA(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → QUOT583_IN_GA(T335, X1503)
QUOT890_IN_GAAA(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_GAAA(T340, quot781_in_ga(T340, X1532))
QUOT890_IN_GAAA(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → QUOT781_IN_GA(T340, X1532)
QUOT890_IN_GAAA(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_GAAA(T347, quot907_in_ga(T347, T349))
QUOT890_IN_GAAA(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → QUOT907_IN_GA(T347, T349)
QUOT890_IN_GAAA(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_GAAA(T350, T353, quot1042_in_gaa(T350, T353, T352))
QUOT890_IN_GAAA(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → QUOT1042_IN_GAA(T350, T353, T352)
QUOT890_IN_GAAA(T305, 0, T309, s(T355)) → U96_GAAA(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
QUOT890_IN_GAAA(T305, 0, T309, s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT890_IN_GAAA(T305, 0, T309, s(T357)) → U97_GAAA(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
QUOT890_IN_GAAA(s(T358), s(T363), T360, T362) → U98_GAAA(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
QUOT890_IN_GAAA(s(T358), s(T363), T360, T362) → QUOT890_IN_GAAA(T358, T363, T360, T362)
DIV1_IN_GGA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_GGA(T305, T357, quot3_in_gaa(T305, s(T309), T357))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_GGA(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → QUOT890_IN_GGAA(T358, T363, T360, T362)
QUOT890_IN_GGAA(s(T315), 0, 0, 0) → U88_GGAA(T315, quot61_in_ga(T315, X1387))
QUOT890_IN_GGAA(s(T315), 0, 0, 0) → QUOT61_IN_GA(T315, X1387)
QUOT890_IN_GGAA(s(s(T320)), 0, s(0), 0) → U89_GGAA(T320, quot151_in_ga(T320, X1416))
QUOT890_IN_GGAA(s(s(T320)), 0, s(0), 0) → QUOT151_IN_GA(T320, X1416)
QUOT890_IN_GGAA(s(s(s(T325))), 0, s(s(0)), 0) → U90_GGAA(T325, quot268_in_ga(T325, X1445))
QUOT890_IN_GGAA(s(s(s(T325))), 0, s(s(0)), 0) → QUOT268_IN_GA(T325, X1445)
QUOT890_IN_GGAA(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_GGAA(T330, quot412_in_ga(T330, X1474))
QUOT890_IN_GGAA(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → QUOT412_IN_GA(T330, X1474)
QUOT890_IN_GGAA(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_GGAA(T335, quot583_in_ga(T335, X1503))
QUOT890_IN_GGAA(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → QUOT583_IN_GA(T335, X1503)
QUOT890_IN_GGAA(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_GGAA(T340, quot781_in_ga(T340, X1532))
QUOT890_IN_GGAA(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → QUOT781_IN_GA(T340, X1532)
QUOT890_IN_GGAA(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_GGAA(T347, quot907_in_ga(T347, T349))
QUOT890_IN_GGAA(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → QUOT907_IN_GA(T347, T349)
QUOT890_IN_GGAA(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_GGAA(T350, T353, quot1042_in_gaa(T350, T353, T352))
QUOT890_IN_GGAA(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → QUOT1042_IN_GAA(T350, T353, T352)
QUOT890_IN_GGAA(T305, 0, T309, s(T355)) → U96_GGAA(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
QUOT890_IN_GGAA(T305, 0, T309, s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT890_IN_GGAA(T305, 0, T309, s(T357)) → U97_GGAA(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
QUOT890_IN_GGAA(s(T358), s(T363), T360, T362) → U98_GGAA(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
QUOT890_IN_GGAA(s(T358), s(T363), T360, T362) → QUOT890_IN_GGAA(T358, T363, T360, T362)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

The argument filtering Pi contains the following mapping:
div1_in_gga(x1, x2, x3) = div1_in_gga(x1, x2)
0 = 0
s(x1) = s(x1)
div1_out_gga(x1, x2, x3) = div1_out_gga(x3)
U99_gga(x1, x2) = U99_gga(x2)
quot39_in_g(x1) = quot39_in_g(x1)
quot39_out_g(x1) = quot39_out_g
U1_g(x1, x2) = U1_g(x2)
U100_gga(x1, x2) = U100_gga(x2)
quot37_in_gaa(x1, x2, x3) = quot37_in_gaa(x1)
quot37_out_gaa(x1, x2, x3) = quot37_out_gaa
U2_gaa(x1, x2, x3, x4) = U2_gaa(x4)
U3_gaa(x1, x2) = U3_gaa(x2)
U4_gaa(x1, x2, x3) = U4_gaa(x3)
quot65_in_ga(x1, x2) = quot65_in_ga(x1)
quot65_out_ga(x1, x2) = quot65_out_ga(x2)
U5_ga(x1, x2) = U5_ga(x2)
U6_ga(x1, x2, x3) = U6_ga(x3)
U101_gga(x1, x2, x3) = U101_gga(x3)
U102_gga(x1, x2, x3) = U102_gga(x3)
U103_gga(x1, x2) = U103_gga(x2)
quot116_in_g(x1) = quot116_in_g(x1)
quot116_out_g(x1) = quot116_out_g
U7_g(x1, x2) = U7_g(x2)
U104_gga(x1, x2) = U104_gga(x2)
quot114_in_gaa(x1, x2, x3) = quot114_in_gaa(x1)
quot114_out_gaa(x1, x2, x3) = quot114_out_gaa
U8_gaa(x1, x2, x3, x4) = U8_gaa(x4)
U9_gaa(x1, x2) = U9_gaa(x2)
U10_gaa(x1, x2, x3) = U10_gaa(x3)
quot155_in_ga(x1, x2) = quot155_in_ga(x1)
quot155_out_ga(x1, x2) = quot155_out_ga(x2)
U11_ga(x1, x2) = U11_ga(x2)
U12_ga(x1, x2, x3) = U12_ga(x3)
U105_gga(x1, x2, x3) = U105_gga(x3)
U106_gga(x1, x2, x3) = U106_gga(x3)
U107_gga(x1, x2) = U107_gga(x2)
quot220_in_g(x1) = quot220_in_g(x1)
quot220_out_g(x1) = quot220_out_g
U13_g(x1, x2) = U13_g(x2)
U108_gga(x1, x2) = U108_gga(x2)
quot218_in_gaa(x1, x2, x3) = quot218_in_gaa(x1)
quot218_out_gaa(x1, x2, x3) = quot218_out_gaa
U14_gaa(x1, x2, x3, x4) = U14_gaa(x4)
U15_gaa(x1, x2) = U15_gaa(x2)
U16_gaa(x1, x2, x3) = U16_gaa(x3)
quot272_in_ga(x1, x2) = quot272_in_ga(x1)
quot272_out_ga(x1, x2) = quot272_out_ga(x2)
U17_ga(x1, x2) = U17_ga(x2)
U18_ga(x1, x2, x3) = U18_ga(x3)
U109_gga(x1, x2, x3) = U109_gga(x3)
U110_gga(x1, x2, x3) = U110_gga(x3)
U111_gga(x1, x2) = U111_gga(x2)
quot351_in_g(x1) = quot351_in_g(x1)
quot351_out_g(x1) = quot351_out_g
U19_g(x1, x2) = U19_g(x2)
U112_gga(x1, x2) = U112_gga(x2)
quot349_in_gaa(x1, x2, x3) = quot349_in_gaa(x1)
quot349_out_gaa(x1, x2, x3) = quot349_out_gaa
U20_gaa(x1, x2, x3, x4) = U20_gaa(x4)
U21_gaa(x1, x2) = U21_gaa(x2)
U22_gaa(x1, x2, x3) = U22_gaa(x3)
quot416_in_ga(x1, x2) = quot416_in_ga(x1)
quot416_out_ga(x1, x2) = quot416_out_ga(x2)
U23_ga(x1, x2) = U23_ga(x2)
U24_ga(x1, x2, x3) = U24_ga(x3)
U113_gga(x1, x2, x3) = U113_gga(x3)
U114_gga(x1, x2, x3) = U114_gga(x3)
U115_gga(x1, x2) = U115_gga(x2)
quot509_in_g(x1) = quot509_in_g(x1)
quot509_out_g(x1) = quot509_out_g
U25_g(x1, x2) = U25_g(x2)
U116_gga(x1, x2) = U116_gga(x2)
quot507_in_gaa(x1, x2, x3) = quot507_in_gaa(x1)
quot507_out_gaa(x1, x2, x3) = quot507_out_gaa
U26_gaa(x1, x2, x3, x4) = U26_gaa(x4)
U27_gaa(x1, x2) = U27_gaa(x2)
U28_gaa(x1, x2, x3) = U28_gaa(x3)
quot587_in_ga(x1, x2) = quot587_in_ga(x1)
quot587_out_ga(x1, x2) = quot587_out_ga(x2)
U29_ga(x1, x2) = U29_ga(x2)
U30_ga(x1, x2, x3) = U30_ga(x3)
U117_gga(x1, x2, x3) = U117_gga(x3)
U118_gga(x1, x2, x3) = U118_gga(x3)
U119_gga(x1, x2) = U119_gga(x2)
quot694_in_g(x1) = quot694_in_g(x1)
quot694_out_g(x1) = quot694_out_g
U31_g(x1, x2) = U31_g(x2)
U120_gga(x1, x2) = U120_gga(x2)
quot692_in_gaa(x1, x2, x3) = quot692_in_gaa(x1)
quot692_out_gaa(x1, x2, x3) = quot692_out_gaa
U32_gaa(x1, x2, x3, x4) = U32_gaa(x4)
U33_gaa(x1, x2) = U33_gaa(x2)
U34_gaa(x1, x2, x3) = U34_gaa(x3)
quot785_in_ga(x1, x2) = quot785_in_ga(x1)
quot785_out_ga(x1, x2) = quot785_out_ga(x2)
U35_ga(x1, x2) = U35_ga(x2)
U36_ga(x1, x2, x3) = U36_ga(x3)
U121_gga(x1, x2, x3) = U121_gga(x3)
U122_gga(x1, x2, x3) = U122_gga(x3)
U123_gga(x1, x2) = U123_gga(x2)
quot61_in_ga(x1, x2) = quot61_in_ga(x1)
U37_ga(x1, x2, x3) = U37_ga(x3)
quot61_out_ga(x1, x2) = quot61_out_ga
U124_gga(x1, x2) = U124_gga(x2)
quot151_in_ga(x1, x2) = quot151_in_ga(x1)
U38_ga(x1, x2, x3) = U38_ga(x3)
quot151_out_ga(x1, x2) = quot151_out_ga
U125_gga(x1, x2) = U125_gga(x2)
quot268_in_ga(x1, x2) = quot268_in_ga(x1)
U39_ga(x1, x2, x3) = U39_ga(x3)
quot268_out_ga(x1, x2) = quot268_out_ga
U126_gga(x1, x2) = U126_gga(x2)
quot412_in_ga(x1, x2) = quot412_in_ga(x1)
U40_ga(x1, x2, x3) = U40_ga(x3)
quot412_out_ga(x1, x2) = quot412_out_ga
U127_gga(x1, x2) = U127_gga(x2)
quot583_in_ga(x1, x2) = quot583_in_ga(x1)
U41_ga(x1, x2, x3) = U41_ga(x3)
quot583_out_ga(x1, x2) = quot583_out_ga
U128_gga(x1, x2) = U128_gga(x2)
quot781_in_ga(x1, x2) = quot781_in_ga(x1)
U42_ga(x1, x2, x3) = U42_ga(x3)
quot781_out_ga(x1, x2) = quot781_out_ga
U129_gga(x1, x2) = U129_gga(x2)
quot907_in_ga(x1, x2) = quot907_in_ga(x1)
quot907_out_ga(x1, x2) = quot907_out_ga
U43_ga(x1, x2) = U43_ga(x2)
U44_ga(x1, x2) = U44_ga(x2)
U45_ga(x1, x2) = U45_ga(x2)
U46_ga(x1, x2) = U46_ga(x2)
U47_ga(x1, x2) = U47_ga(x2)
U48_ga(x1, x2) = U48_ga(x2)
U49_ga(x1, x2) = U49_ga(x2)
U50_ga(x1, x2, x3) = U50_ga(x3)
quot1042_in_gaa(x1, x2, x3) = quot1042_in_gaa(x1)
quot1042_out_gaa(x1, x2, x3) = quot1042_out_gaa
U51_gaa(x1, x2, x3) = U51_gaa(x3)
U52_gaa(x1, x2, x3, x4) = U52_gaa(x4)
U130_gga(x1, x2) = U130_gga(x2)
U131_gga(x1, x2, x3) = U131_gga(x3)
quot3_in_gaa(x1, x2, x3) = quot3_in_gaa(x1)
quot3_out_gaa(x1, x2, x3) = quot3_out_gaa(x3)
U53_gaa(x1, x2) = U53_gaa(x2)
U54_gaa(x1, x2) = U54_gaa(x2)
U55_gaa(x1, x2, x3) = U55_gaa(x3)
U56_gaa(x1, x2, x3) = U56_gaa(x3)
U57_gaa(x1, x2) = U57_gaa(x2)
U58_gaa(x1, x2) = U58_gaa(x2)
U59_gaa(x1, x2, x3) = U59_gaa(x3)
U60_gaa(x1, x2, x3) = U60_gaa(x3)
U61_gaa(x1, x2) = U61_gaa(x2)
U62_gaa(x1, x2) = U62_gaa(x2)
U63_gaa(x1, x2, x3) = U63_gaa(x3)
U64_gaa(x1, x2, x3) = U64_gaa(x3)
U65_gaa(x1, x2) = U65_gaa(x2)
U66_gaa(x1, x2) = U66_gaa(x2)
U67_gaa(x1, x2, x3) = U67_gaa(x3)
U68_gaa(x1, x2, x3) = U68_gaa(x3)
U69_gaa(x1, x2) = U69_gaa(x2)
U70_gaa(x1, x2) = U70_gaa(x2)
U71_gaa(x1, x2, x3) = U71_gaa(x3)
U72_gaa(x1, x2, x3) = U72_gaa(x3)
U73_gaa(x1, x2) = U73_gaa(x2)
U74_gaa(x1, x2) = U74_gaa(x2)
U75_gaa(x1, x2, x3) = U75_gaa(x3)
U76_gaa(x1, x2, x3) = U76_gaa(x3)
U77_gaa(x1, x2) = U77_gaa(x2)
U78_gaa(x1, x2) = U78_gaa(x2)
U79_gaa(x1, x2) = U79_gaa(x2)
U80_gaa(x1, x2) = U80_gaa(x2)
U81_gaa(x1, x2) = U81_gaa(x2)
U82_gaa(x1, x2) = U82_gaa(x2)
U83_gaa(x1, x2) = U83_gaa(x2)
U84_gaa(x1, x2) = U84_gaa(x2)
U85_gaa(x1, x2, x3) = U85_gaa(x3)
U86_gaa(x1, x2, x3) = U86_gaa(x3)
U87_gaa(x1, x2, x3, x4) = U87_gaa(x4)
quot890_in_gaaa(x1, x2, x3, x4) = quot890_in_gaaa(x1)
quot890_out_gaaa(x1, x2, x3, x4) = quot890_out_gaaa(x4)
U88_gaaa(x1, x2) = U88_gaaa(x2)
U89_gaaa(x1, x2) = U89_gaaa(x2)
U90_gaaa(x1, x2) = U90_gaaa(x2)
U91_gaaa(x1, x2) = U91_gaaa(x2)
U92_gaaa(x1, x2) = U92_gaaa(x2)
U93_gaaa(x1, x2) = U93_gaaa(x2)
U94_gaaa(x1, x2) = U94_gaaa(x2)
U95_gaaa(x1, x2, x3) = U95_gaaa(x3)
U96_gaaa(x1, x2, x3, x4) = U96_gaaa(x4)
U97_gaaa(x1, x2, x3, x4) = U97_gaaa(x4)
U98_gaaa(x1, x2, x3, x4, x5) = U98_gaaa(x5)
U132_gga(x1, x2, x3) = U132_gga(x3)
U133_gga(x1, x2, x3, x4) = U133_gga(x4)
quot890_in_ggaa(x1, x2, x3, x4) = quot890_in_ggaa(x1, x2)
quot890_out_ggaa(x1, x2, x3, x4) = quot890_out_ggaa(x4)
U88_ggaa(x1, x2) = U88_ggaa(x2)
U89_ggaa(x1, x2) = U89_ggaa(x2)
U90_ggaa(x1, x2) = U90_ggaa(x2)
U91_ggaa(x1, x2) = U91_ggaa(x2)
U92_ggaa(x1, x2) = U92_ggaa(x2)
U93_ggaa(x1, x2) = U93_ggaa(x2)
U94_ggaa(x1, x2) = U94_ggaa(x2)
U95_ggaa(x1, x2, x3) = U95_ggaa(x3)
U96_ggaa(x1, x2, x3, x4) = U96_ggaa(x4)
U97_ggaa(x1, x2, x3, x4) = U97_ggaa(x4)
U98_ggaa(x1, x2, x3, x4, x5) = U98_ggaa(x5)
DIV1_IN_GGA(x1, x2, x3) = DIV1_IN_GGA(x1, x2)
U99_GGA(x1, x2) = U99_GGA(x2)
QUOT39_IN_G(x1) = QUOT39_IN_G(x1)
U1_G(x1, x2) = U1_G(x2)
U100_GGA(x1, x2) = U100_GGA(x2)
QUOT37_IN_GAA(x1, x2, x3) = QUOT37_IN_GAA(x1)
U2_GAA(x1, x2, x3, x4) = U2_GAA(x4)
U3_GAA(x1, x2) = U3_GAA(x2)
U4_GAA(x1, x2, x3) = U4_GAA(x3)
QUOT65_IN_GA(x1, x2) = QUOT65_IN_GA(x1)
U5_GA(x1, x2) = U5_GA(x2)
U6_GA(x1, x2, x3) = U6_GA(x3)
U101_GGA(x1, x2, x3) = U101_GGA(x3)
U102_GGA(x1, x2, x3) = U102_GGA(x3)
U103_GGA(x1, x2) = U103_GGA(x2)
QUOT116_IN_G(x1) = QUOT116_IN_G(x1)
U7_G(x1, x2) = U7_G(x2)
U104_GGA(x1, x2) = U104_GGA(x2)
QUOT114_IN_GAA(x1, x2, x3) = QUOT114_IN_GAA(x1)
U8_GAA(x1, x2, x3, x4) = U8_GAA(x4)
U9_GAA(x1, x2) = U9_GAA(x2)
U10_GAA(x1, x2, x3) = U10_GAA(x3)
QUOT155_IN_GA(x1, x2) = QUOT155_IN_GA(x1)
U11_GA(x1, x2) = U11_GA(x2)
U12_GA(x1, x2, x3) = U12_GA(x3)
U105_GGA(x1, x2, x3) = U105_GGA(x3)
U106_GGA(x1, x2, x3) = U106_GGA(x3)
U107_GGA(x1, x2) = U107_GGA(x2)
QUOT220_IN_G(x1) = QUOT220_IN_G(x1)
U13_G(x1, x2) = U13_G(x2)
U108_GGA(x1, x2) = U108_GGA(x2)
QUOT218_IN_GAA(x1, x2, x3) = QUOT218_IN_GAA(x1)
U14_GAA(x1, x2, x3, x4) = U14_GAA(x4)
U15_GAA(x1, x2) = U15_GAA(x2)
U16_GAA(x1, x2, x3) = U16_GAA(x3)
QUOT272_IN_GA(x1, x2) = QUOT272_IN_GA(x1)
U17_GA(x1, x2) = U17_GA(x2)
U18_GA(x1, x2, x3) = U18_GA(x3)
U109_GGA(x1, x2, x3) = U109_GGA(x3)
U110_GGA(x1, x2, x3) = U110_GGA(x3)
U111_GGA(x1, x2) = U111_GGA(x2)
QUOT351_IN_G(x1) = QUOT351_IN_G(x1)
U19_G(x1, x2) = U19_G(x2)
U112_GGA(x1, x2) = U112_GGA(x2)
QUOT349_IN_GAA(x1, x2, x3) = QUOT349_IN_GAA(x1)
U20_GAA(x1, x2, x3, x4) = U20_GAA(x4)
U21_GAA(x1, x2) = U21_GAA(x2)
U22_GAA(x1, x2, x3) = U22_GAA(x3)
QUOT416_IN_GA(x1, x2) = QUOT416_IN_GA(x1)
U23_GA(x1, x2) = U23_GA(x2)
U24_GA(x1, x2, x3) = U24_GA(x3)
U113_GGA(x1, x2, x3) = U113_GGA(x3)
U114_GGA(x1, x2, x3) = U114_GGA(x3)
U115_GGA(x1, x2) = U115_GGA(x2)
QUOT509_IN_G(x1) = QUOT509_IN_G(x1)
U25_G(x1, x2) = U25_G(x2)
U116_GGA(x1, x2) = U116_GGA(x2)
QUOT507_IN_GAA(x1, x2, x3) = QUOT507_IN_GAA(x1)
U26_GAA(x1, x2, x3, x4) = U26_GAA(x4)
U27_GAA(x1, x2) = U27_GAA(x2)
U28_GAA(x1, x2, x3) = U28_GAA(x3)
QUOT587_IN_GA(x1, x2) = QUOT587_IN_GA(x1)
U29_GA(x1, x2) = U29_GA(x2)
U30_GA(x1, x2, x3) = U30_GA(x3)
U117_GGA(x1, x2, x3) = U117_GGA(x3)
U118_GGA(x1, x2, x3) = U118_GGA(x3)
U119_GGA(x1, x2) = U119_GGA(x2)
QUOT694_IN_G(x1) = QUOT694_IN_G(x1)
U31_G(x1, x2) = U31_G(x2)
U120_GGA(x1, x2) = U120_GGA(x2)
QUOT692_IN_GAA(x1, x2, x3) = QUOT692_IN_GAA(x1)
U32_GAA(x1, x2, x3, x4) = U32_GAA(x4)
U33_GAA(x1, x2) = U33_GAA(x2)
U34_GAA(x1, x2, x3) = U34_GAA(x3)
QUOT785_IN_GA(x1, x2) = QUOT785_IN_GA(x1)
U35_GA(x1, x2) = U35_GA(x2)
U36_GA(x1, x2, x3) = U36_GA(x3)
U121_GGA(x1, x2, x3) = U121_GGA(x3)
U122_GGA(x1, x2, x3) = U122_GGA(x3)
U123_GGA(x1, x2) = U123_GGA(x2)
QUOT61_IN_GA(x1, x2) = QUOT61_IN_GA(x1)
U37_GA(x1, x2, x3) = U37_GA(x3)
U124_GGA(x1, x2) = U124_GGA(x2)
QUOT151_IN_GA(x1, x2) = QUOT151_IN_GA(x1)
U38_GA(x1, x2, x3) = U38_GA(x3)
U125_GGA(x1, x2) = U125_GGA(x2)
QUOT268_IN_GA(x1, x2) = QUOT268_IN_GA(x1)
U39_GA(x1, x2, x3) = U39_GA(x3)
U126_GGA(x1, x2) = U126_GGA(x2)
QUOT412_IN_GA(x1, x2) = QUOT412_IN_GA(x1)
U40_GA(x1, x2, x3) = U40_GA(x3)
U127_GGA(x1, x2) = U127_GGA(x2)
QUOT583_IN_GA(x1, x2) = QUOT583_IN_GA(x1)
U41_GA(x1, x2, x3) = U41_GA(x3)
U128_GGA(x1, x2) = U128_GGA(x2)
QUOT781_IN_GA(x1, x2) = QUOT781_IN_GA(x1)
U42_GA(x1, x2, x3) = U42_GA(x3)
U129_GGA(x1, x2) = U129_GGA(x2)
QUOT907_IN_GA(x1, x2) = QUOT907_IN_GA(x1)
U43_GA(x1, x2) = U43_GA(x2)
U44_GA(x1, x2) = U44_GA(x2)
U45_GA(x1, x2) = U45_GA(x2)
U46_GA(x1, x2) = U46_GA(x2)
U47_GA(x1, x2) = U47_GA(x2)
U48_GA(x1, x2) = U48_GA(x2)
U49_GA(x1, x2) = U49_GA(x2)
U50_GA(x1, x2, x3) = U50_GA(x3)
QUOT1042_IN_GAA(x1, x2, x3) = QUOT1042_IN_GAA(x1)
U51_GAA(x1, x2, x3) = U51_GAA(x3)
U52_GAA(x1, x2, x3, x4) = U52_GAA(x4)
U130_GGA(x1, x2) = U130_GGA(x2)
U131_GGA(x1, x2, x3) = U131_GGA(x3)
QUOT3_IN_GAA(x1, x2, x3) = QUOT3_IN_GAA(x1)
U53_GAA(x1, x2) = U53_GAA(x2)
U54_GAA(x1, x2) = U54_GAA(x2)
U55_GAA(x1, x2, x3) = U55_GAA(x3)
U56_GAA(x1, x2, x3) = U56_GAA(x3)
U57_GAA(x1, x2) = U57_GAA(x2)
U58_GAA(x1, x2) = U58_GAA(x2)
U59_GAA(x1, x2, x3) = U59_GAA(x3)
U60_GAA(x1, x2, x3) = U60_GAA(x3)
U61_GAA(x1, x2) = U61_GAA(x2)
U62_GAA(x1, x2) = U62_GAA(x2)
U63_GAA(x1, x2, x3) = U63_GAA(x3)
U64_GAA(x1, x2, x3) = U64_GAA(x3)
U65_GAA(x1, x2) = U65_GAA(x2)
U66_GAA(x1, x2) = U66_GAA(x2)
U67_GAA(x1, x2, x3) = U67_GAA(x3)
U68_GAA(x1, x2, x3) = U68_GAA(x3)
U69_GAA(x1, x2) = U69_GAA(x2)
U70_GAA(x1, x2) = U70_GAA(x2)
U71_GAA(x1, x2, x3) = U71_GAA(x3)
U72_GAA(x1, x2, x3) = U72_GAA(x3)
U73_GAA(x1, x2) = U73_GAA(x2)
U74_GAA(x1, x2) = U74_GAA(x2)
U75_GAA(x1, x2, x3) = U75_GAA(x3)
U76_GAA(x1, x2, x3) = U76_GAA(x3)
U77_GAA(x1, x2) = U77_GAA(x2)
U78_GAA(x1, x2) = U78_GAA(x2)
U79_GAA(x1, x2) = U79_GAA(x2)
U80_GAA(x1, x2) = U80_GAA(x2)
U81_GAA(x1, x2) = U81_GAA(x2)
U82_GAA(x1, x2) = U82_GAA(x2)
U83_GAA(x1, x2) = U83_GAA(x2)
U84_GAA(x1, x2) = U84_GAA(x2)
U85_GAA(x1, x2, x3) = U85_GAA(x3)
U86_GAA(x1, x2, x3) = U86_GAA(x3)
U87_GAA(x1, x2, x3, x4) = U87_GAA(x4)
QUOT890_IN_GAAA(x1, x2, x3, x4) = QUOT890_IN_GAAA(x1)
U88_GAAA(x1, x2) = U88_GAAA(x2)
U89_GAAA(x1, x2) = U89_GAAA(x2)
U90_GAAA(x1, x2) = U90_GAAA(x2)
U91_GAAA(x1, x2) = U91_GAAA(x2)
U92_GAAA(x1, x2) = U92_GAAA(x2)
U93_GAAA(x1, x2) = U93_GAAA(x2)
U94_GAAA(x1, x2) = U94_GAAA(x2)
U95_GAAA(x1, x2, x3) = U95_GAAA(x3)
U96_GAAA(x1, x2, x3, x4) = U96_GAAA(x4)
U97_GAAA(x1, x2, x3, x4) = U97_GAAA(x4)
U98_GAAA(x1, x2, x3, x4, x5) = U98_GAAA(x5)
U132_GGA(x1, x2, x3) = U132_GGA(x3)
U133_GGA(x1, x2, x3, x4) = U133_GGA(x4)
QUOT890_IN_GGAA(x1, x2, x3, x4) = QUOT890_IN_GGAA(x1, x2)
U88_GGAA(x1, x2) = U88_GGAA(x2)
U89_GGAA(x1, x2) = U89_GGAA(x2)
U90_GGAA(x1, x2) = U90_GGAA(x2)
U91_GGAA(x1, x2) = U91_GGAA(x2)
U92_GGAA(x1, x2) = U92_GGAA(x2)
U93_GGAA(x1, x2) = U93_GGAA(x2)
U94_GGAA(x1, x2) = U94_GGAA(x2)
U95_GGAA(x1, x2, x3) = U95_GGAA(x3)
U96_GGAA(x1, x2, x3, x4) = U96_GGAA(x4)
U97_GGAA(x1, x2, x3, x4) = U97_GGAA(x4)
U98_GGAA(x1, x2, x3, x4, x5) = U98_GGAA(x5)

We have to consider all (P,R,Pi)-chains

(6) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

DIV1_IN_GGA(s(s(T28)), s(0), 0) → U99_GGA(T28, quot39_in_g(T28))
DIV1_IN_GGA(s(s(T28)), s(0), 0) → QUOT39_IN_G(T28)
QUOT39_IN_G(s(T28)) → U1_G(T28, quot39_in_g(T28))
QUOT39_IN_G(s(T28)) → QUOT39_IN_G(T28)
DIV1_IN_GGA(s(s(T37)), s(0), s(0)) → U100_GGA(T37, quot37_in_gaa(T37, T39, X124))
DIV1_IN_GGA(s(s(T37)), s(0), s(0)) → QUOT37_IN_GAA(T37, T39, X124)
QUOT37_IN_GAA(s(T28), T26, X51) → U2_GAA(T28, T26, X51, quot39_in_g(T28))
QUOT37_IN_GAA(s(T28), T26, X51) → QUOT39_IN_G(T28)
QUOT37_IN_GAA(s(T37), s(0), 0) → U3_GAA(T37, quot37_in_gaa(T37, T39, X124))
QUOT37_IN_GAA(s(T37), s(0), 0) → QUOT37_IN_GAA(T37, T39, X124)
QUOT37_IN_GAA(s(T37), s(s(T41)), s(T41)) → U4_GAA(T37, T41, quot65_in_ga(T37, T41))
QUOT37_IN_GAA(s(T37), s(s(T41)), s(T41)) → QUOT65_IN_GA(T37, T41)
QUOT65_IN_GA(s(T37), 0) → U5_GA(T37, quot37_in_gaa(T37, T39, X124))
QUOT65_IN_GA(s(T37), 0) → QUOT37_IN_GAA(T37, T39, X124)
QUOT65_IN_GA(s(T37), s(T41)) → U6_GA(T37, T41, quot65_in_ga(T37, T41))
QUOT65_IN_GA(s(T37), s(T41)) → QUOT65_IN_GA(T37, T41)
DIV1_IN_GGA(s(s(T37)), s(0), s(s(T41))) → U101_GGA(T37, T41, quot65_in_ga(T37, T41))
DIV1_IN_GGA(s(s(T37)), s(0), s(s(T41))) → QUOT65_IN_GA(T37, T41)
DIV1_IN_GGA(s(T24), s(0), s(T43)) → U102_GGA(T24, T43, quot65_in_ga(T24, T43))
DIV1_IN_GGA(s(T24), s(0), s(T43)) → QUOT65_IN_GA(T24, T43)
DIV1_IN_GGA(s(s(s(s(T58)))), s(s(0)), 0) → U103_GGA(T58, quot116_in_g(T58))
DIV1_IN_GGA(s(s(s(s(T58)))), s(s(0)), 0) → QUOT116_IN_G(T58)
QUOT116_IN_G(s(s(T58))) → U7_G(T58, quot116_in_g(T58))
QUOT116_IN_G(s(s(T58))) → QUOT116_IN_G(T58)
DIV1_IN_GGA(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_GGA(T73, quot114_in_gaa(T73, T75, X274))
DIV1_IN_GGA(s(s(s(s(T73)))), s(s(0)), s(0)) → QUOT114_IN_GAA(T73, T75, X274)
QUOT114_IN_GAA(s(s(T58)), T55, X157) → U8_GAA(T58, T55, X157, quot116_in_g(T58))
QUOT114_IN_GAA(s(s(T58)), T55, X157) → QUOT116_IN_G(T58)
QUOT114_IN_GAA(s(s(T73)), s(0), 0) → U9_GAA(T73, quot114_in_gaa(T73, T75, X274))
QUOT114_IN_GAA(s(s(T73)), s(0), 0) → QUOT114_IN_GAA(T73, T75, X274)
QUOT114_IN_GAA(s(s(T73)), s(s(T77)), s(T77)) → U10_GAA(T73, T77, quot155_in_ga(T73, T77))
QUOT114_IN_GAA(s(s(T73)), s(s(T77)), s(T77)) → QUOT155_IN_GA(T73, T77)
QUOT155_IN_GA(s(s(T73)), 0) → U11_GA(T73, quot114_in_gaa(T73, T75, X274))
QUOT155_IN_GA(s(s(T73)), 0) → QUOT114_IN_GAA(T73, T75, X274)
QUOT155_IN_GA(s(s(T73)), s(T77)) → U12_GA(T73, T77, quot155_in_ga(T73, T77))
QUOT155_IN_GA(s(s(T73)), s(T77)) → QUOT155_IN_GA(T73, T77)
DIV1_IN_GGA(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_GGA(T73, T77, quot155_in_ga(T73, T77))
DIV1_IN_GGA(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → QUOT155_IN_GA(T73, T77)
DIV1_IN_GGA(s(s(T53)), s(s(0)), s(T79)) → U106_GGA(T53, T79, quot155_in_ga(T53, T79))
DIV1_IN_GGA(s(s(T53)), s(s(0)), s(T79)) → QUOT155_IN_GA(T53, T79)
DIV1_IN_GGA(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_GGA(T95, quot220_in_g(T95))
DIV1_IN_GGA(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → QUOT220_IN_G(T95)
QUOT220_IN_G(s(s(s(T95)))) → U13_G(T95, quot220_in_g(T95))
QUOT220_IN_G(s(s(s(T95)))) → QUOT220_IN_G(T95)
DIV1_IN_GGA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_GGA(T116, quot218_in_gaa(T116, T118, X468))
DIV1_IN_GGA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → QUOT218_IN_GAA(T116, T118, X468)
QUOT218_IN_GAA(s(s(s(T95))), T91, X307) → U14_GAA(T95, T91, X307, quot220_in_g(T95))
QUOT218_IN_GAA(s(s(s(T95))), T91, X307) → QUOT220_IN_G(T95)
QUOT218_IN_GAA(s(s(s(T116))), s(0), 0) → U15_GAA(T116, quot218_in_gaa(T116, T118, X468))
QUOT218_IN_GAA(s(s(s(T116))), s(0), 0) → QUOT218_IN_GAA(T116, T118, X468)
QUOT218_IN_GAA(s(s(s(T116))), s(s(T120)), s(T120)) → U16_GAA(T116, T120, quot272_in_ga(T116, T120))
QUOT218_IN_GAA(s(s(s(T116))), s(s(T120)), s(T120)) → QUOT272_IN_GA(T116, T120)
QUOT272_IN_GA(s(s(s(T116))), 0) → U17_GA(T116, quot218_in_gaa(T116, T118, X468))
QUOT272_IN_GA(s(s(s(T116))), 0) → QUOT218_IN_GAA(T116, T118, X468)
QUOT272_IN_GA(s(s(s(T116))), s(T120)) → U18_GA(T116, T120, quot272_in_ga(T116, T120))
QUOT272_IN_GA(s(s(s(T116))), s(T120)) → QUOT272_IN_GA(T116, T120)
DIV1_IN_GGA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_GGA(T116, T120, quot272_in_ga(T116, T120))
DIV1_IN_GGA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → QUOT272_IN_GA(T116, T120)
DIV1_IN_GGA(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_GGA(T89, T122, quot272_in_ga(T89, T122))
DIV1_IN_GGA(s(s(s(T89))), s(s(s(0))), s(T122)) → QUOT272_IN_GA(T89, T122)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_GGA(T139, quot351_in_g(T139))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → QUOT351_IN_G(T139)
QUOT351_IN_G(s(s(s(s(T139))))) → U19_G(T139, quot351_in_g(T139))
QUOT351_IN_G(s(s(s(s(T139))))) → QUOT351_IN_G(T139)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_GGA(T166, quot349_in_gaa(T166, T168, X706))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → QUOT349_IN_GAA(T166, T168, X706)
QUOT349_IN_GAA(s(s(s(s(T139)))), T134, X501) → U20_GAA(T139, T134, X501, quot351_in_g(T139))
QUOT349_IN_GAA(s(s(s(s(T139)))), T134, X501) → QUOT351_IN_G(T139)
QUOT349_IN_GAA(s(s(s(s(T166)))), s(0), 0) → U21_GAA(T166, quot349_in_gaa(T166, T168, X706))
QUOT349_IN_GAA(s(s(s(s(T166)))), s(0), 0) → QUOT349_IN_GAA(T166, T168, X706)
QUOT349_IN_GAA(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_GAA(T166, T170, quot416_in_ga(T166, T170))
QUOT349_IN_GAA(s(s(s(s(T166)))), s(s(T170)), s(T170)) → QUOT416_IN_GA(T166, T170)
QUOT416_IN_GA(s(s(s(s(T166)))), 0) → U23_GA(T166, quot349_in_gaa(T166, T168, X706))
QUOT416_IN_GA(s(s(s(s(T166)))), 0) → QUOT349_IN_GAA(T166, T168, X706)
QUOT416_IN_GA(s(s(s(s(T166)))), s(T170)) → U24_GA(T166, T170, quot416_in_ga(T166, T170))
QUOT416_IN_GA(s(s(s(s(T166)))), s(T170)) → QUOT416_IN_GA(T166, T170)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_GGA(T166, T170, quot416_in_ga(T166, T170))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → QUOT416_IN_GA(T166, T170)
DIV1_IN_GGA(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_GGA(T132, T172, quot416_in_ga(T132, T172))
DIV1_IN_GGA(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → QUOT416_IN_GA(T132, T172)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_GGA(T190, quot509_in_g(T190))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → QUOT509_IN_G(T190)
QUOT509_IN_G(s(s(s(s(s(T190)))))) → U25_G(T190, quot509_in_g(T190))
QUOT509_IN_G(s(s(s(s(s(T190)))))) → QUOT509_IN_G(T190)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_GGA(T223, quot507_in_gaa(T223, T225, X988))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → QUOT507_IN_GAA(T223, T225, X988)
QUOT507_IN_GAA(s(s(s(s(s(T190))))), T184, X739) → U26_GAA(T190, T184, X739, quot509_in_g(T190))
QUOT507_IN_GAA(s(s(s(s(s(T190))))), T184, X739) → QUOT509_IN_G(T190)
QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(0), 0) → U27_GAA(T223, quot507_in_gaa(T223, T225, X988))
QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(0), 0) → QUOT507_IN_GAA(T223, T225, X988)
QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_GAA(T223, T227, quot587_in_ga(T223, T227))
QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → QUOT587_IN_GA(T223, T227)
QUOT587_IN_GA(s(s(s(s(s(T223))))), 0) → U29_GA(T223, quot507_in_gaa(T223, T225, X988))
QUOT587_IN_GA(s(s(s(s(s(T223))))), 0) → QUOT507_IN_GAA(T223, T225, X988)
QUOT587_IN_GA(s(s(s(s(s(T223))))), s(T227)) → U30_GA(T223, T227, quot587_in_ga(T223, T227))
QUOT587_IN_GA(s(s(s(s(s(T223))))), s(T227)) → QUOT587_IN_GA(T223, T227)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_GGA(T223, T227, quot587_in_ga(T223, T227))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → QUOT587_IN_GA(T223, T227)
DIV1_IN_GGA(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_GGA(T182, T229, quot587_in_ga(T182, T229))
DIV1_IN_GGA(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → QUOT587_IN_GA(T182, T229)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_GGA(T248, quot694_in_g(T248))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → QUOT694_IN_G(T248)
QUOT694_IN_G(s(s(s(s(s(s(T248))))))) → U31_G(T248, quot694_in_g(T248))
QUOT694_IN_G(s(s(s(s(s(s(T248))))))) → QUOT694_IN_G(T248)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_GGA(T287, quot692_in_gaa(T287, T289, X1314))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT692_IN_GAA(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_GAA(T248, T241, X1021, quot694_in_g(T248))
QUOT692_IN_GAA(s(s(s(s(s(s(T248)))))), T241, X1021) → QUOT694_IN_G(T248)
QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_GAA(T287, quot692_in_gaa(T287, T289, X1314))
QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(0), 0) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_GAA(T287, T291, quot785_in_ga(T287, T291))
QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → QUOT785_IN_GA(T287, T291)
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), 0) → U35_GA(T287, quot692_in_gaa(T287, T289, X1314))
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), 0) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), s(T291)) → U36_GA(T287, T291, quot785_in_ga(T287, T291))
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), s(T291)) → QUOT785_IN_GA(T287, T291)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_GGA(T287, T291, quot785_in_ga(T287, T291))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → QUOT785_IN_GA(T287, T291)
DIV1_IN_GGA(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_GGA(T239, T293, quot785_in_ga(T239, T293))
DIV1_IN_GGA(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → QUOT785_IN_GA(T239, T293)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_GGA(T315, quot61_in_ga(T315, X1387))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT61_IN_GA(T315, X1387)
QUOT61_IN_GA(T28, X86) → U37_GA(T28, X86, quot39_in_g(T28))
QUOT61_IN_GA(T28, X86) → QUOT39_IN_G(T28)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_GGA(T320, quot151_in_ga(T320, X1416))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT151_IN_GA(T320, X1416)
QUOT151_IN_GA(T58, X214) → U38_GA(T58, X214, quot116_in_g(T58))
QUOT151_IN_GA(T58, X214) → QUOT116_IN_G(T58)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_GGA(T325, quot268_in_ga(T325, X1445))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT268_IN_GA(T325, X1445)
QUOT268_IN_GA(T95, X386) → U39_GA(T95, X386, quot220_in_g(T95))
QUOT268_IN_GA(T95, X386) → QUOT220_IN_G(T95)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_GGA(T330, quot412_in_ga(T330, X1474))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT412_IN_GA(T330, X1474)
QUOT412_IN_GA(T139, X602) → U40_GA(T139, X602, quot351_in_g(T139))
QUOT412_IN_GA(T139, X602) → QUOT351_IN_G(T139)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_GGA(T335, quot583_in_ga(T335, X1503))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT583_IN_GA(T335, X1503)
QUOT583_IN_GA(T190, X862) → U41_GA(T190, X862, quot509_in_g(T190))
QUOT583_IN_GA(T190, X862) → QUOT509_IN_G(T190)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_GGA(T340, quot781_in_ga(T340, X1532))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT781_IN_GA(T340, X1532)
QUOT781_IN_GA(T248, X1166) → U42_GA(T248, X1166, quot694_in_g(T248))
QUOT781_IN_GA(T248, X1166) → QUOT694_IN_G(T248)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_GGA(T347, quot907_in_ga(T347, T349))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT907_IN_GA(T347, T349)
QUOT907_IN_GA(s(T315), 0) → U43_GA(T315, quot61_in_ga(T315, X1387))
QUOT907_IN_GA(s(T315), 0) → QUOT61_IN_GA(T315, X1387)
QUOT907_IN_GA(s(s(T320)), s(0)) → U44_GA(T320, quot151_in_ga(T320, X1416))
QUOT907_IN_GA(s(s(T320)), s(0)) → QUOT151_IN_GA(T320, X1416)
QUOT907_IN_GA(s(s(s(T325))), s(s(0))) → U45_GA(T325, quot268_in_ga(T325, X1445))
QUOT907_IN_GA(s(s(s(T325))), s(s(0))) → QUOT268_IN_GA(T325, X1445)
QUOT907_IN_GA(s(s(s(s(T330)))), s(s(s(0)))) → U46_GA(T330, quot412_in_ga(T330, X1474))
QUOT907_IN_GA(s(s(s(s(T330)))), s(s(s(0)))) → QUOT412_IN_GA(T330, X1474)
QUOT907_IN_GA(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_GA(T335, quot583_in_ga(T335, X1503))
QUOT907_IN_GA(s(s(s(s(s(T335))))), s(s(s(s(0))))) → QUOT583_IN_GA(T335, X1503)
QUOT907_IN_GA(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_GA(T340, quot781_in_ga(T340, X1532))
QUOT907_IN_GA(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → QUOT781_IN_GA(T340, X1532)
QUOT907_IN_GA(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_GA(T347, quot907_in_ga(T347, T349))
QUOT907_IN_GA(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → QUOT907_IN_GA(T347, T349)
QUOT907_IN_GA(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_GA(T350, T353, quot1042_in_gaa(T350, T353, T352))
QUOT907_IN_GA(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → QUOT1042_IN_GAA(T350, T353, T352)
QUOT1042_IN_GAA(T347, 0, T349) → U51_GAA(T347, T349, quot907_in_ga(T347, T349))
QUOT1042_IN_GAA(T347, 0, T349) → QUOT907_IN_GA(T347, T349)
QUOT1042_IN_GAA(s(T350), s(T353), T352) → U52_GAA(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
QUOT1042_IN_GAA(s(T350), s(T353), T352) → QUOT1042_IN_GAA(T350, T353, T352)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_GGA(T350, quot1042_in_gaa(T350, T353, T352))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT1042_IN_GAA(T350, T353, T352)
DIV1_IN_GGA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_GGA(T305, T355, quot3_in_gaa(T305, s(T309), T355))
DIV1_IN_GGA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT3_IN_GAA(s(s(T28)), s(0), 0) → U53_GAA(T28, quot39_in_g(T28))
QUOT3_IN_GAA(s(s(T28)), s(0), 0) → QUOT39_IN_G(T28)
QUOT3_IN_GAA(s(s(T37)), s(0), s(0)) → U54_GAA(T37, quot37_in_gaa(T37, T39, X124))
QUOT3_IN_GAA(s(s(T37)), s(0), s(0)) → QUOT37_IN_GAA(T37, T39, X124)
QUOT3_IN_GAA(s(s(T37)), s(0), s(s(T41))) → U55_GAA(T37, T41, quot65_in_ga(T37, T41))
QUOT3_IN_GAA(s(s(T37)), s(0), s(s(T41))) → QUOT65_IN_GA(T37, T41)
QUOT3_IN_GAA(s(T24), s(0), s(T43)) → U56_GAA(T24, T43, quot65_in_ga(T24, T43))
QUOT3_IN_GAA(s(T24), s(0), s(T43)) → QUOT65_IN_GA(T24, T43)
QUOT3_IN_GAA(s(s(s(s(T58)))), s(s(0)), 0) → U57_GAA(T58, quot116_in_g(T58))
QUOT3_IN_GAA(s(s(s(s(T58)))), s(s(0)), 0) → QUOT116_IN_G(T58)
QUOT3_IN_GAA(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_GAA(T73, quot114_in_gaa(T73, T75, X274))
QUOT3_IN_GAA(s(s(s(s(T73)))), s(s(0)), s(0)) → QUOT114_IN_GAA(T73, T75, X274)
QUOT3_IN_GAA(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_GAA(T73, T77, quot155_in_ga(T73, T77))
QUOT3_IN_GAA(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → QUOT155_IN_GA(T73, T77)
QUOT3_IN_GAA(s(s(T53)), s(s(0)), s(T79)) → U60_GAA(T53, T79, quot155_in_ga(T53, T79))
QUOT3_IN_GAA(s(s(T53)), s(s(0)), s(T79)) → QUOT155_IN_GA(T53, T79)
QUOT3_IN_GAA(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_GAA(T95, quot220_in_g(T95))
QUOT3_IN_GAA(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → QUOT220_IN_G(T95)
QUOT3_IN_GAA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_GAA(T116, quot218_in_gaa(T116, T118, X468))
QUOT3_IN_GAA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → QUOT218_IN_GAA(T116, T118, X468)
QUOT3_IN_GAA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_GAA(T116, T120, quot272_in_ga(T116, T120))
QUOT3_IN_GAA(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → QUOT272_IN_GA(T116, T120)
QUOT3_IN_GAA(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_GAA(T89, T122, quot272_in_ga(T89, T122))
QUOT3_IN_GAA(s(s(s(T89))), s(s(s(0))), s(T122)) → QUOT272_IN_GA(T89, T122)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_GAA(T139, quot351_in_g(T139))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → QUOT351_IN_G(T139)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_GAA(T166, quot349_in_gaa(T166, T168, X706))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → QUOT349_IN_GAA(T166, T168, X706)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_GAA(T166, T170, quot416_in_ga(T166, T170))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → QUOT416_IN_GA(T166, T170)
QUOT3_IN_GAA(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_GAA(T132, T172, quot416_in_ga(T132, T172))
QUOT3_IN_GAA(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → QUOT416_IN_GA(T132, T172)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_GAA(T190, quot509_in_g(T190))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → QUOT509_IN_G(T190)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_GAA(T223, quot507_in_gaa(T223, T225, X988))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → QUOT507_IN_GAA(T223, T225, X988)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_GAA(T223, T227, quot587_in_ga(T223, T227))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → QUOT587_IN_GA(T223, T227)
QUOT3_IN_GAA(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_GAA(T182, T229, quot587_in_ga(T182, T229))
QUOT3_IN_GAA(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → QUOT587_IN_GA(T182, T229)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_GAA(T248, quot694_in_g(T248))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → QUOT694_IN_G(T248)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_GAA(T287, quot692_in_gaa(T287, T289, X1314))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_GAA(T287, T291, quot785_in_ga(T287, T291))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → QUOT785_IN_GA(T287, T291)
QUOT3_IN_GAA(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_GAA(T239, T293, quot785_in_ga(T239, T293))
QUOT3_IN_GAA(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → QUOT785_IN_GA(T239, T293)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_GAA(T315, quot61_in_ga(T315, X1387))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT61_IN_GA(T315, X1387)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_GAA(T320, quot151_in_ga(T320, X1416))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT151_IN_GA(T320, X1416)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_GAA(T325, quot268_in_ga(T325, X1445))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT268_IN_GA(T325, X1445)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_GAA(T330, quot412_in_ga(T330, X1474))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT412_IN_GA(T330, X1474)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_GAA(T335, quot583_in_ga(T335, X1503))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT583_IN_GA(T335, X1503)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_GAA(T340, quot781_in_ga(T340, X1532))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT781_IN_GA(T340, X1532)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_GAA(T347, quot907_in_ga(T347, T349))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT907_IN_GA(T347, T349)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_GAA(T350, quot1042_in_gaa(T350, T353, T352))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOT1042_IN_GAA(T350, T353, T352)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_GAA(T305, T355, quot3_in_gaa(T305, s(T309), T355))
QUOT3_IN_GAA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_GAA(T305, T357, quot3_in_gaa(T305, s(T309), T357))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_GAA(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → QUOT890_IN_GAAA(T358, T363, T360, T362)
QUOT890_IN_GAAA(s(T315), 0, 0, 0) → U88_GAAA(T315, quot61_in_ga(T315, X1387))
QUOT890_IN_GAAA(s(T315), 0, 0, 0) → QUOT61_IN_GA(T315, X1387)
QUOT890_IN_GAAA(s(s(T320)), 0, s(0), 0) → U89_GAAA(T320, quot151_in_ga(T320, X1416))
QUOT890_IN_GAAA(s(s(T320)), 0, s(0), 0) → QUOT151_IN_GA(T320, X1416)
QUOT890_IN_GAAA(s(s(s(T325))), 0, s(s(0)), 0) → U90_GAAA(T325, quot268_in_ga(T325, X1445))
QUOT890_IN_GAAA(s(s(s(T325))), 0, s(s(0)), 0) → QUOT268_IN_GA(T325, X1445)
QUOT890_IN_GAAA(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_GAAA(T330, quot412_in_ga(T330, X1474))
QUOT890_IN_GAAA(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → QUOT412_IN_GA(T330, X1474)
QUOT890_IN_GAAA(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_GAAA(T335, quot583_in_ga(T335, X1503))
QUOT890_IN_GAAA(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → QUOT583_IN_GA(T335, X1503)
QUOT890_IN_GAAA(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_GAAA(T340, quot781_in_ga(T340, X1532))
QUOT890_IN_GAAA(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → QUOT781_IN_GA(T340, X1532)
QUOT890_IN_GAAA(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_GAAA(T347, quot907_in_ga(T347, T349))
QUOT890_IN_GAAA(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → QUOT907_IN_GA(T347, T349)
QUOT890_IN_GAAA(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_GAAA(T350, T353, quot1042_in_gaa(T350, T353, T352))
QUOT890_IN_GAAA(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → QUOT1042_IN_GAA(T350, T353, T352)
QUOT890_IN_GAAA(T305, 0, T309, s(T355)) → U96_GAAA(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
QUOT890_IN_GAAA(T305, 0, T309, s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT890_IN_GAAA(T305, 0, T309, s(T357)) → U97_GAAA(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
QUOT890_IN_GAAA(s(T358), s(T363), T360, T362) → U98_GAAA(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
QUOT890_IN_GAAA(s(T358), s(T363), T360, T362) → QUOT890_IN_GAAA(T358, T363, T360, T362)
DIV1_IN_GGA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_GGA(T305, T357, quot3_in_gaa(T305, s(T309), T357))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_GGA(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → QUOT890_IN_GGAA(T358, T363, T360, T362)
QUOT890_IN_GGAA(s(T315), 0, 0, 0) → U88_GGAA(T315, quot61_in_ga(T315, X1387))
QUOT890_IN_GGAA(s(T315), 0, 0, 0) → QUOT61_IN_GA(T315, X1387)
QUOT890_IN_GGAA(s(s(T320)), 0, s(0), 0) → U89_GGAA(T320, quot151_in_ga(T320, X1416))
QUOT890_IN_GGAA(s(s(T320)), 0, s(0), 0) → QUOT151_IN_GA(T320, X1416)
QUOT890_IN_GGAA(s(s(s(T325))), 0, s(s(0)), 0) → U90_GGAA(T325, quot268_in_ga(T325, X1445))
QUOT890_IN_GGAA(s(s(s(T325))), 0, s(s(0)), 0) → QUOT268_IN_GA(T325, X1445)
QUOT890_IN_GGAA(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_GGAA(T330, quot412_in_ga(T330, X1474))
QUOT890_IN_GGAA(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → QUOT412_IN_GA(T330, X1474)
QUOT890_IN_GGAA(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_GGAA(T335, quot583_in_ga(T335, X1503))
QUOT890_IN_GGAA(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → QUOT583_IN_GA(T335, X1503)
QUOT890_IN_GGAA(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_GGAA(T340, quot781_in_ga(T340, X1532))
QUOT890_IN_GGAA(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → QUOT781_IN_GA(T340, X1532)
QUOT890_IN_GGAA(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_GGAA(T347, quot907_in_ga(T347, T349))
QUOT890_IN_GGAA(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → QUOT907_IN_GA(T347, T349)
QUOT890_IN_GGAA(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_GGAA(T350, T353, quot1042_in_gaa(T350, T353, T352))
QUOT890_IN_GGAA(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → QUOT1042_IN_GAA(T350, T353, T352)
QUOT890_IN_GGAA(T305, 0, T309, s(T355)) → U96_GGAA(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
QUOT890_IN_GGAA(T305, 0, T309, s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT890_IN_GGAA(T305, 0, T309, s(T357)) → U97_GGAA(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
QUOT890_IN_GGAA(s(T358), s(T363), T360, T362) → U98_GGAA(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
QUOT890_IN_GGAA(s(T358), s(T363), T360, T362) → QUOT890_IN_GGAA(T358, T363, T360, T362)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(7) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 15 SCCs with 245 less nodes.

(8) Complex Obligation (AND)

(9) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT694_IN_G(s(s(s(s(s(s(T248))))))) → QUOT694_IN_G(T248)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(10) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(11) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT694_IN_G(s(s(s(s(s(s(T248))))))) → QUOT694_IN_G(T248)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(12) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(13) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT694_IN_G(s(s(s(s(s(s(T248))))))) → QUOT694_IN_G(T248)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(14) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT694_IN_G(s(s(s(s(s(s(T248))))))) → QUOT694_IN_G(T248)
The graph contains the following edges 1 > 1

(15) TRUE

(16) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → QUOT785_IN_GA(T287, T291)
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), 0) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(0), 0) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), s(T291)) → QUOT785_IN_GA(T287, T291)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(17) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(18) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → QUOT785_IN_GA(T287, T291)
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), 0) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT692_IN_GAA(s(s(s(s(s(s(T287)))))), s(0), 0) → QUOT692_IN_GAA(T287, T289, X1314)
QUOT785_IN_GA(s(s(s(s(s(s(T287)))))), s(T291)) → QUOT785_IN_GA(T287, T291)

R is empty.
The argument filtering Pi contains the following mapping:
0 = 0
s(x1) = s(x1)
QUOT692_IN_GAA(x1, x2, x3) = QUOT692_IN_GAA(x1)
QUOT785_IN_GA(x1, x2) = QUOT785_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(19) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(20) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT692_IN_GAA(s(s(s(s(s(s(T287))))))) → QUOT785_IN_GA(T287)
QUOT785_IN_GA(s(s(s(s(s(s(T287))))))) → QUOT692_IN_GAA(T287)
QUOT692_IN_GAA(s(s(s(s(s(s(T287))))))) → QUOT692_IN_GAA(T287)
QUOT785_IN_GA(s(s(s(s(s(s(T287))))))) → QUOT785_IN_GA(T287)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(21) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT785_IN_GA(s(s(s(s(s(s(T287))))))) → QUOT692_IN_GAA(T287)
The graph contains the following edges 1 > 1
QUOT785_IN_GA(s(s(s(s(s(s(T287))))))) → QUOT785_IN_GA(T287)
The graph contains the following edges 1 > 1
QUOT692_IN_GAA(s(s(s(s(s(s(T287))))))) → QUOT692_IN_GAA(T287)
The graph contains the following edges 1 > 1
QUOT692_IN_GAA(s(s(s(s(s(s(T287))))))) → QUOT785_IN_GA(T287)
The graph contains the following edges 1 > 1

(22) TRUE

(23) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT509_IN_G(s(s(s(s(s(T190)))))) → QUOT509_IN_G(T190)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(24) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(25) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT509_IN_G(s(s(s(s(s(T190)))))) → QUOT509_IN_G(T190)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(26) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(27) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT509_IN_G(s(s(s(s(s(T190)))))) → QUOT509_IN_G(T190)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(28) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT509_IN_G(s(s(s(s(s(T190)))))) → QUOT509_IN_G(T190)
The graph contains the following edges 1 > 1

(29) TRUE

(30) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → QUOT587_IN_GA(T223, T227)
QUOT587_IN_GA(s(s(s(s(s(T223))))), 0) → QUOT507_IN_GAA(T223, T225, X988)
QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(0), 0) → QUOT507_IN_GAA(T223, T225, X988)
QUOT587_IN_GA(s(s(s(s(s(T223))))), s(T227)) → QUOT587_IN_GA(T223, T227)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(31) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(32) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → QUOT587_IN_GA(T223, T227)
QUOT587_IN_GA(s(s(s(s(s(T223))))), 0) → QUOT507_IN_GAA(T223, T225, X988)
QUOT507_IN_GAA(s(s(s(s(s(T223))))), s(0), 0) → QUOT507_IN_GAA(T223, T225, X988)
QUOT587_IN_GA(s(s(s(s(s(T223))))), s(T227)) → QUOT587_IN_GA(T223, T227)

R is empty.
The argument filtering Pi contains the following mapping:
0 = 0
s(x1) = s(x1)
QUOT507_IN_GAA(x1, x2, x3) = QUOT507_IN_GAA(x1)
QUOT587_IN_GA(x1, x2) = QUOT587_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(33) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(34) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT507_IN_GAA(s(s(s(s(s(T223)))))) → QUOT587_IN_GA(T223)
QUOT587_IN_GA(s(s(s(s(s(T223)))))) → QUOT507_IN_GAA(T223)
QUOT507_IN_GAA(s(s(s(s(s(T223)))))) → QUOT507_IN_GAA(T223)
QUOT587_IN_GA(s(s(s(s(s(T223)))))) → QUOT587_IN_GA(T223)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(35) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT587_IN_GA(s(s(s(s(s(T223)))))) → QUOT507_IN_GAA(T223)
The graph contains the following edges 1 > 1
QUOT587_IN_GA(s(s(s(s(s(T223)))))) → QUOT587_IN_GA(T223)
The graph contains the following edges 1 > 1
QUOT507_IN_GAA(s(s(s(s(s(T223)))))) → QUOT507_IN_GAA(T223)
The graph contains the following edges 1 > 1
QUOT507_IN_GAA(s(s(s(s(s(T223)))))) → QUOT587_IN_GA(T223)
The graph contains the following edges 1 > 1

(36) TRUE

(37) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT351_IN_G(s(s(s(s(T139))))) → QUOT351_IN_G(T139)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(38) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(39) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT351_IN_G(s(s(s(s(T139))))) → QUOT351_IN_G(T139)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(40) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(41) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT351_IN_G(s(s(s(s(T139))))) → QUOT351_IN_G(T139)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(42) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT351_IN_G(s(s(s(s(T139))))) → QUOT351_IN_G(T139)
The graph contains the following edges 1 > 1

(43) TRUE

(44) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT349_IN_GAA(s(s(s(s(T166)))), s(s(T170)), s(T170)) → QUOT416_IN_GA(T166, T170)
QUOT416_IN_GA(s(s(s(s(T166)))), 0) → QUOT349_IN_GAA(T166, T168, X706)
QUOT349_IN_GAA(s(s(s(s(T166)))), s(0), 0) → QUOT349_IN_GAA(T166, T168, X706)
QUOT416_IN_GA(s(s(s(s(T166)))), s(T170)) → QUOT416_IN_GA(T166, T170)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(45) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(46) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT349_IN_GAA(s(s(s(s(T166)))), s(s(T170)), s(T170)) → QUOT416_IN_GA(T166, T170)
QUOT416_IN_GA(s(s(s(s(T166)))), 0) → QUOT349_IN_GAA(T166, T168, X706)
QUOT349_IN_GAA(s(s(s(s(T166)))), s(0), 0) → QUOT349_IN_GAA(T166, T168, X706)
QUOT416_IN_GA(s(s(s(s(T166)))), s(T170)) → QUOT416_IN_GA(T166, T170)

R is empty.
The argument filtering Pi contains the following mapping:
0 = 0
s(x1) = s(x1)
QUOT349_IN_GAA(x1, x2, x3) = QUOT349_IN_GAA(x1)
QUOT416_IN_GA(x1, x2) = QUOT416_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(47) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(48) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT349_IN_GAA(s(s(s(s(T166))))) → QUOT416_IN_GA(T166)
QUOT416_IN_GA(s(s(s(s(T166))))) → QUOT349_IN_GAA(T166)
QUOT349_IN_GAA(s(s(s(s(T166))))) → QUOT349_IN_GAA(T166)
QUOT416_IN_GA(s(s(s(s(T166))))) → QUOT416_IN_GA(T166)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(49) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT416_IN_GA(s(s(s(s(T166))))) → QUOT349_IN_GAA(T166)
The graph contains the following edges 1 > 1
QUOT416_IN_GA(s(s(s(s(T166))))) → QUOT416_IN_GA(T166)
The graph contains the following edges 1 > 1
QUOT349_IN_GAA(s(s(s(s(T166))))) → QUOT349_IN_GAA(T166)
The graph contains the following edges 1 > 1
QUOT349_IN_GAA(s(s(s(s(T166))))) → QUOT416_IN_GA(T166)
The graph contains the following edges 1 > 1

(50) TRUE

(51) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT220_IN_G(s(s(s(T95)))) → QUOT220_IN_G(T95)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(52) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(53) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT220_IN_G(s(s(s(T95)))) → QUOT220_IN_G(T95)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(54) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(55) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT220_IN_G(s(s(s(T95)))) → QUOT220_IN_G(T95)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(56) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT220_IN_G(s(s(s(T95)))) → QUOT220_IN_G(T95)
The graph contains the following edges 1 > 1

(57) TRUE

(58) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT218_IN_GAA(s(s(s(T116))), s(s(T120)), s(T120)) → QUOT272_IN_GA(T116, T120)
QUOT272_IN_GA(s(s(s(T116))), 0) → QUOT218_IN_GAA(T116, T118, X468)
QUOT218_IN_GAA(s(s(s(T116))), s(0), 0) → QUOT218_IN_GAA(T116, T118, X468)
QUOT272_IN_GA(s(s(s(T116))), s(T120)) → QUOT272_IN_GA(T116, T120)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(59) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(60) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT218_IN_GAA(s(s(s(T116))), s(s(T120)), s(T120)) → QUOT272_IN_GA(T116, T120)
QUOT272_IN_GA(s(s(s(T116))), 0) → QUOT218_IN_GAA(T116, T118, X468)
QUOT218_IN_GAA(s(s(s(T116))), s(0), 0) → QUOT218_IN_GAA(T116, T118, X468)
QUOT272_IN_GA(s(s(s(T116))), s(T120)) → QUOT272_IN_GA(T116, T120)

R is empty.
The argument filtering Pi contains the following mapping:
0 = 0
s(x1) = s(x1)
QUOT218_IN_GAA(x1, x2, x3) = QUOT218_IN_GAA(x1)
QUOT272_IN_GA(x1, x2) = QUOT272_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(61) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(62) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT218_IN_GAA(s(s(s(T116)))) → QUOT272_IN_GA(T116)
QUOT272_IN_GA(s(s(s(T116)))) → QUOT218_IN_GAA(T116)
QUOT218_IN_GAA(s(s(s(T116)))) → QUOT218_IN_GAA(T116)
QUOT272_IN_GA(s(s(s(T116)))) → QUOT272_IN_GA(T116)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(63) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT272_IN_GA(s(s(s(T116)))) → QUOT218_IN_GAA(T116)
The graph contains the following edges 1 > 1
QUOT272_IN_GA(s(s(s(T116)))) → QUOT272_IN_GA(T116)
The graph contains the following edges 1 > 1
QUOT218_IN_GAA(s(s(s(T116)))) → QUOT218_IN_GAA(T116)
The graph contains the following edges 1 > 1
QUOT218_IN_GAA(s(s(s(T116)))) → QUOT272_IN_GA(T116)
The graph contains the following edges 1 > 1

(64) TRUE

(65) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT116_IN_G(s(s(T58))) → QUOT116_IN_G(T58)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(66) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(67) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT116_IN_G(s(s(T58))) → QUOT116_IN_G(T58)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(68) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(69) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT116_IN_G(s(s(T58))) → QUOT116_IN_G(T58)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(70) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT116_IN_G(s(s(T58))) → QUOT116_IN_G(T58)
The graph contains the following edges 1 > 1

(71) TRUE

(72) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT114_IN_GAA(s(s(T73)), s(s(T77)), s(T77)) → QUOT155_IN_GA(T73, T77)
QUOT155_IN_GA(s(s(T73)), 0) → QUOT114_IN_GAA(T73, T75, X274)
QUOT114_IN_GAA(s(s(T73)), s(0), 0) → QUOT114_IN_GAA(T73, T75, X274)
QUOT155_IN_GA(s(s(T73)), s(T77)) → QUOT155_IN_GA(T73, T77)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(73) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(74) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT114_IN_GAA(s(s(T73)), s(s(T77)), s(T77)) → QUOT155_IN_GA(T73, T77)
QUOT155_IN_GA(s(s(T73)), 0) → QUOT114_IN_GAA(T73, T75, X274)
QUOT114_IN_GAA(s(s(T73)), s(0), 0) → QUOT114_IN_GAA(T73, T75, X274)
QUOT155_IN_GA(s(s(T73)), s(T77)) → QUOT155_IN_GA(T73, T77)

R is empty.
The argument filtering Pi contains the following mapping:
0 = 0
s(x1) = s(x1)
QUOT114_IN_GAA(x1, x2, x3) = QUOT114_IN_GAA(x1)
QUOT155_IN_GA(x1, x2) = QUOT155_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(75) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(76) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT114_IN_GAA(s(s(T73))) → QUOT155_IN_GA(T73)
QUOT155_IN_GA(s(s(T73))) → QUOT114_IN_GAA(T73)
QUOT114_IN_GAA(s(s(T73))) → QUOT114_IN_GAA(T73)
QUOT155_IN_GA(s(s(T73))) → QUOT155_IN_GA(T73)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(77) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT155_IN_GA(s(s(T73))) → QUOT114_IN_GAA(T73)
The graph contains the following edges 1 > 1
QUOT155_IN_GA(s(s(T73))) → QUOT155_IN_GA(T73)
The graph contains the following edges 1 > 1
QUOT114_IN_GAA(s(s(T73))) → QUOT114_IN_GAA(T73)
The graph contains the following edges 1 > 1
QUOT114_IN_GAA(s(s(T73))) → QUOT155_IN_GA(T73)
The graph contains the following edges 1 > 1

(78) TRUE

(79) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT39_IN_G(s(T28)) → QUOT39_IN_G(T28)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(80) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(81) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT39_IN_G(s(T28)) → QUOT39_IN_G(T28)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(82) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(83) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT39_IN_G(s(T28)) → QUOT39_IN_G(T28)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(84) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT39_IN_G(s(T28)) → QUOT39_IN_G(T28)
The graph contains the following edges 1 > 1

(85) TRUE

(86) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT907_IN_GA(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → QUOT1042_IN_GAA(T350, T353, T352)
QUOT1042_IN_GAA(T347, 0, T349) → QUOT907_IN_GA(T347, T349)
QUOT907_IN_GA(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → QUOT907_IN_GA(T347, T349)
QUOT1042_IN_GAA(s(T350), s(T353), T352) → QUOT1042_IN_GAA(T350, T353, T352)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(87) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(88) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT907_IN_GA(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → QUOT1042_IN_GAA(T350, T353, T352)
QUOT1042_IN_GAA(T347, 0, T349) → QUOT907_IN_GA(T347, T349)
QUOT907_IN_GA(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → QUOT907_IN_GA(T347, T349)
QUOT1042_IN_GAA(s(T350), s(T353), T352) → QUOT1042_IN_GAA(T350, T353, T352)

R is empty.
The argument filtering Pi contains the following mapping:
0 = 0
s(x1) = s(x1)
QUOT907_IN_GA(x1, x2) = QUOT907_IN_GA(x1)
QUOT1042_IN_GAA(x1, x2, x3) = QUOT1042_IN_GAA(x1)

We have to consider all (P,R,Pi)-chains

(89) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(90) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT907_IN_GA(s(s(s(s(s(s(s(s(T350))))))))) → QUOT1042_IN_GAA(T350)
QUOT1042_IN_GAA(T347) → QUOT907_IN_GA(T347)
QUOT907_IN_GA(s(s(s(s(s(s(s(T347)))))))) → QUOT907_IN_GA(T347)
QUOT1042_IN_GAA(s(T350)) → QUOT1042_IN_GAA(T350)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(91) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT1042_IN_GAA(T347) → QUOT907_IN_GA(T347)
The graph contains the following edges 1 >= 1
QUOT1042_IN_GAA(s(T350)) → QUOT1042_IN_GAA(T350)
The graph contains the following edges 1 > 1
QUOT907_IN_GA(s(s(s(s(s(s(s(T347)))))))) → QUOT907_IN_GA(T347)
The graph contains the following edges 1 > 1
QUOT907_IN_GA(s(s(s(s(s(s(s(s(T350))))))))) → QUOT1042_IN_GAA(T350)
The graph contains the following edges 1 > 1

(92) TRUE

(93) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT37_IN_GAA(s(T37), s(s(T41)), s(T41)) → QUOT65_IN_GA(T37, T41)
QUOT65_IN_GA(s(T37), 0) → QUOT37_IN_GAA(T37, T39, X124)
QUOT37_IN_GAA(s(T37), s(0), 0) → QUOT37_IN_GAA(T37, T39, X124)
QUOT65_IN_GA(s(T37), s(T41)) → QUOT65_IN_GA(T37, T41)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(94) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(95) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT37_IN_GAA(s(T37), s(s(T41)), s(T41)) → QUOT65_IN_GA(T37, T41)
QUOT65_IN_GA(s(T37), 0) → QUOT37_IN_GAA(T37, T39, X124)
QUOT37_IN_GAA(s(T37), s(0), 0) → QUOT37_IN_GAA(T37, T39, X124)
QUOT65_IN_GA(s(T37), s(T41)) → QUOT65_IN_GA(T37, T41)

R is empty.
The argument filtering Pi contains the following mapping:
0 = 0
s(x1) = s(x1)
QUOT37_IN_GAA(x1, x2, x3) = QUOT37_IN_GAA(x1)
QUOT65_IN_GA(x1, x2) = QUOT65_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(96) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(97) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT37_IN_GAA(s(T37)) → QUOT65_IN_GA(T37)
QUOT65_IN_GA(s(T37)) → QUOT37_IN_GAA(T37)
QUOT37_IN_GAA(s(T37)) → QUOT37_IN_GAA(T37)
QUOT65_IN_GA(s(T37)) → QUOT65_IN_GA(T37)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(98) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT65_IN_GA(s(T37)) → QUOT37_IN_GAA(T37)
The graph contains the following edges 1 > 1
QUOT65_IN_GA(s(T37)) → QUOT65_IN_GA(T37)
The graph contains the following edges 1 > 1
QUOT37_IN_GAA(s(T37)) → QUOT37_IN_GAA(T37)
The graph contains the following edges 1 > 1
QUOT37_IN_GAA(s(T37)) → QUOT65_IN_GA(T37)
The graph contains the following edges 1 > 1

(99) TRUE

(100) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → QUOT890_IN_GAAA(T358, T363, T360, T362)
QUOT890_IN_GAAA(T305, 0, T309, s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT890_IN_GAAA(s(T358), s(T363), T360, T362) → QUOT890_IN_GAAA(T358, T363, T360, T362)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(101) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(102) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → QUOT890_IN_GAAA(T358, T363, T360, T362)
QUOT890_IN_GAAA(T305, 0, T309, s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → QUOT3_IN_GAA(T305, s(T309), T355)
QUOT890_IN_GAAA(s(T358), s(T363), T360, T362) → QUOT890_IN_GAAA(T358, T363, T360, T362)

R is empty.
The argument filtering Pi contains the following mapping:
0 = 0
s(x1) = s(x1)
QUOT3_IN_GAA(x1, x2, x3) = QUOT3_IN_GAA(x1)
QUOT890_IN_GAAA(x1, x2, x3, x4) = QUOT890_IN_GAAA(x1)

We have to consider all (P,R,Pi)-chains

(103) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(104) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T358))))))))) → QUOT890_IN_GAAA(T358)
QUOT890_IN_GAAA(T305) → QUOT3_IN_GAA(T305)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T305)))))))) → QUOT3_IN_GAA(T305)
QUOT890_IN_GAAA(s(T358)) → QUOT890_IN_GAAA(T358)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(105) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT890_IN_GAAA(T305) → QUOT3_IN_GAA(T305)
The graph contains the following edges 1 >= 1
QUOT890_IN_GAAA(s(T358)) → QUOT890_IN_GAAA(T358)
The graph contains the following edges 1 > 1
QUOT3_IN_GAA(s(s(s(s(s(s(s(T305)))))))) → QUOT3_IN_GAA(T305)
The graph contains the following edges 1 > 1
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T358))))))))) → QUOT890_IN_GAAA(T358)
The graph contains the following edges 1 > 1

(106) TRUE

(107) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT890_IN_GGAA(s(T358), s(T363), T360, T362) → QUOT890_IN_GGAA(T358, T363, T360, T362)

The TRS R consists of the following rules:

div1_in_gga(0, s(T8), 0) → div1_out_gga(0, s(T8), 0)
div1_in_gga(s(0), s(s(T20)), 0) → div1_out_gga(s(0), s(s(T20)), 0)
div1_in_gga(s(0), s(0), 0) → div1_out_gga(s(0), s(0), 0)
div1_in_gga(s(s(T28)), s(0), 0) → U99_gga(T28, quot39_in_g(T28))
quot39_in_g(0) → quot39_out_g(0)
quot39_in_g(s(T28)) → U1_g(T28, quot39_in_g(T28))
U1_g(T28, quot39_out_g(T28)) → quot39_out_g(s(T28))
U99_gga(T28, quot39_out_g(T28)) → div1_out_gga(s(s(T28)), s(0), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(0)) → U100_gga(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(0, T26, X51) → quot37_out_gaa(0, T26, X51)
quot37_in_gaa(s(T28), T26, X51) → U2_gaa(T28, T26, X51, quot39_in_g(T28))
U2_gaa(T28, T26, X51, quot39_out_g(T28)) → quot37_out_gaa(s(T28), T26, X51)
quot37_in_gaa(0, s(0), 0) → quot37_out_gaa(0, s(0), 0)
quot37_in_gaa(s(T37), s(0), 0) → U3_gaa(T37, quot37_in_gaa(T37, T39, X124))
quot37_in_gaa(s(T37), s(s(T41)), s(T41)) → U4_gaa(T37, T41, quot65_in_ga(T37, T41))
quot65_in_ga(0, 0) → quot65_out_ga(0, 0)
quot65_in_ga(s(T37), 0) → U5_ga(T37, quot37_in_gaa(T37, T39, X124))
U5_ga(T37, quot37_out_gaa(T37, T39, X124)) → quot65_out_ga(s(T37), 0)
quot65_in_ga(s(T37), s(T41)) → U6_ga(T37, T41, quot65_in_ga(T37, T41))
U6_ga(T37, T41, quot65_out_ga(T37, T41)) → quot65_out_ga(s(T37), s(T41))
U4_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot37_out_gaa(s(T37), s(s(T41)), s(T41))
U3_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot37_out_gaa(s(T37), s(0), 0)
U100_gga(T37, quot37_out_gaa(T37, T39, X124)) → div1_out_gga(s(s(T37)), s(0), s(0))
div1_in_gga(s(s(T37)), s(0), s(s(T41))) → U101_gga(T37, T41, quot65_in_ga(T37, T41))
U101_gga(T37, T41, quot65_out_ga(T37, T41)) → div1_out_gga(s(s(T37)), s(0), s(s(T41)))
div1_in_gga(s(T24), s(0), s(T43)) → U102_gga(T24, T43, quot65_in_ga(T24, T43))
U102_gga(T24, T43, quot65_out_ga(T24, T43)) → div1_out_gga(s(T24), s(0), s(T43))
div1_in_gga(s(s(0)), s(s(s(T49))), 0) → div1_out_gga(s(s(0)), s(s(s(T49))), 0)
div1_in_gga(s(s(0)), s(s(0)), 0) → div1_out_gga(s(s(0)), s(s(0)), 0)
div1_in_gga(s(s(s(0))), s(s(0)), 0) → div1_out_gga(s(s(s(0))), s(s(0)), 0)
div1_in_gga(s(s(s(s(T58)))), s(s(0)), 0) → U103_gga(T58, quot116_in_g(T58))
quot116_in_g(0) → quot116_out_g(0)
quot116_in_g(s(0)) → quot116_out_g(s(0))
quot116_in_g(s(s(T58))) → U7_g(T58, quot116_in_g(T58))
U7_g(T58, quot116_out_g(T58)) → quot116_out_g(s(s(T58)))
U103_gga(T58, quot116_out_g(T58)) → div1_out_gga(s(s(s(s(T58)))), s(s(0)), 0)
div1_in_gga(s(s(0)), s(s(0)), s(0)) → div1_out_gga(s(s(0)), s(s(0)), s(0))
div1_in_gga(s(s(s(0))), s(s(0)), s(0)) → div1_out_gga(s(s(s(0))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(0)) → U104_gga(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(0, T55, X157) → quot114_out_gaa(0, T55, X157)
quot114_in_gaa(s(0), T55, X157) → quot114_out_gaa(s(0), T55, X157)
quot114_in_gaa(s(s(T58)), T55, X157) → U8_gaa(T58, T55, X157, quot116_in_g(T58))
U8_gaa(T58, T55, X157, quot116_out_g(T58)) → quot114_out_gaa(s(s(T58)), T55, X157)
quot114_in_gaa(0, s(0), 0) → quot114_out_gaa(0, s(0), 0)
quot114_in_gaa(s(0), s(0), 0) → quot114_out_gaa(s(0), s(0), 0)
quot114_in_gaa(s(s(T73)), s(0), 0) → U9_gaa(T73, quot114_in_gaa(T73, T75, X274))
quot114_in_gaa(s(s(T73)), s(s(T77)), s(T77)) → U10_gaa(T73, T77, quot155_in_ga(T73, T77))
quot155_in_ga(0, 0) → quot155_out_ga(0, 0)
quot155_in_ga(s(0), 0) → quot155_out_ga(s(0), 0)
quot155_in_ga(s(s(T73)), 0) → U11_ga(T73, quot114_in_gaa(T73, T75, X274))
U11_ga(T73, quot114_out_gaa(T73, T75, X274)) → quot155_out_ga(s(s(T73)), 0)
quot155_in_ga(s(s(T73)), s(T77)) → U12_ga(T73, T77, quot155_in_ga(T73, T77))
U12_ga(T73, T77, quot155_out_ga(T73, T77)) → quot155_out_ga(s(s(T73)), s(T77))
U10_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot114_out_gaa(s(s(T73)), s(s(T77)), s(T77))
U9_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot114_out_gaa(s(s(T73)), s(0), 0)
U104_gga(T73, quot114_out_gaa(T73, T75, X274)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(0))
div1_in_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U105_gga(T73, T77, quot155_in_ga(T73, T77))
U105_gga(T73, T77, quot155_out_ga(T73, T77)) → div1_out_gga(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
div1_in_gga(s(s(T53)), s(s(0)), s(T79)) → U106_gga(T53, T79, quot155_in_ga(T53, T79))
U106_gga(T53, T79, quot155_out_ga(T53, T79)) → div1_out_gga(s(s(T53)), s(s(0)), s(T79))
div1_in_gga(s(s(s(0))), s(s(s(s(T85)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T85)))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), 0) → div1_out_gga(s(s(s(0))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U107_gga(T95, quot220_in_g(T95))
quot220_in_g(0) → quot220_out_g(0)
quot220_in_g(s(0)) → quot220_out_g(s(0))
quot220_in_g(s(s(0))) → quot220_out_g(s(s(0)))
quot220_in_g(s(s(s(T95)))) → U13_g(T95, quot220_in_g(T95))
U13_g(T95, quot220_out_g(T95)) → quot220_out_g(s(s(s(T95))))
U107_gga(T95, quot220_out_g(T95)) → div1_out_gga(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
div1_in_gga(s(s(s(0))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(0))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(0)))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U108_gga(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(0, T91, X307) → quot218_out_gaa(0, T91, X307)
quot218_in_gaa(s(0), T91, X307) → quot218_out_gaa(s(0), T91, X307)
quot218_in_gaa(s(s(0)), T91, X307) → quot218_out_gaa(s(s(0)), T91, X307)
quot218_in_gaa(s(s(s(T95))), T91, X307) → U14_gaa(T95, T91, X307, quot220_in_g(T95))
U14_gaa(T95, T91, X307, quot220_out_g(T95)) → quot218_out_gaa(s(s(s(T95))), T91, X307)
quot218_in_gaa(0, s(0), 0) → quot218_out_gaa(0, s(0), 0)
quot218_in_gaa(s(0), s(0), 0) → quot218_out_gaa(s(0), s(0), 0)
quot218_in_gaa(s(s(0)), s(0), 0) → quot218_out_gaa(s(s(0)), s(0), 0)
quot218_in_gaa(s(s(s(T116))), s(0), 0) → U15_gaa(T116, quot218_in_gaa(T116, T118, X468))
quot218_in_gaa(s(s(s(T116))), s(s(T120)), s(T120)) → U16_gaa(T116, T120, quot272_in_ga(T116, T120))
quot272_in_ga(0, 0) → quot272_out_ga(0, 0)
quot272_in_ga(s(0), 0) → quot272_out_ga(s(0), 0)
quot272_in_ga(s(s(0)), 0) → quot272_out_ga(s(s(0)), 0)
quot272_in_ga(s(s(s(T116))), 0) → U17_ga(T116, quot218_in_gaa(T116, T118, X468))
U17_ga(T116, quot218_out_gaa(T116, T118, X468)) → quot272_out_ga(s(s(s(T116))), 0)
quot272_in_ga(s(s(s(T116))), s(T120)) → U18_ga(T116, T120, quot272_in_ga(T116, T120))
U18_ga(T116, T120, quot272_out_ga(T116, T120)) → quot272_out_ga(s(s(s(T116))), s(T120))
U16_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot218_out_gaa(s(s(s(T116))), s(s(T120)), s(T120))
U15_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot218_out_gaa(s(s(s(T116))), s(0), 0)
U108_gga(T116, quot218_out_gaa(T116, T118, X468)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
div1_in_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U109_gga(T116, T120, quot272_in_ga(T116, T120))
U109_gga(T116, T120, quot272_out_ga(T116, T120)) → div1_out_gga(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
div1_in_gga(s(s(s(T89))), s(s(s(0))), s(T122)) → U110_gga(T89, T122, quot272_in_ga(T89, T122))
U110_gga(T89, T122, quot272_out_ga(T89, T122)) → div1_out_gga(s(s(s(T89))), s(s(s(0))), s(T122))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U111_gga(T139, quot351_in_g(T139))
quot351_in_g(0) → quot351_out_g(0)
quot351_in_g(s(0)) → quot351_out_g(s(0))
quot351_in_g(s(s(0))) → quot351_out_g(s(s(0)))
quot351_in_g(s(s(s(0)))) → quot351_out_g(s(s(s(0))))
quot351_in_g(s(s(s(s(T139))))) → U19_g(T139, quot351_in_g(T139))
U19_g(T139, quot351_out_g(T139)) → quot351_out_g(s(s(s(s(T139)))))
U111_gga(T139, quot351_out_g(T139)) → div1_out_gga(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
div1_in_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U112_gga(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(0, T134, X501) → quot349_out_gaa(0, T134, X501)
quot349_in_gaa(s(0), T134, X501) → quot349_out_gaa(s(0), T134, X501)
quot349_in_gaa(s(s(0)), T134, X501) → quot349_out_gaa(s(s(0)), T134, X501)
quot349_in_gaa(s(s(s(0))), T134, X501) → quot349_out_gaa(s(s(s(0))), T134, X501)
quot349_in_gaa(s(s(s(s(T139)))), T134, X501) → U20_gaa(T139, T134, X501, quot351_in_g(T139))
U20_gaa(T139, T134, X501, quot351_out_g(T139)) → quot349_out_gaa(s(s(s(s(T139)))), T134, X501)
quot349_in_gaa(0, s(0), 0) → quot349_out_gaa(0, s(0), 0)
quot349_in_gaa(s(0), s(0), 0) → quot349_out_gaa(s(0), s(0), 0)
quot349_in_gaa(s(s(0)), s(0), 0) → quot349_out_gaa(s(s(0)), s(0), 0)
quot349_in_gaa(s(s(s(0))), s(0), 0) → quot349_out_gaa(s(s(s(0))), s(0), 0)
quot349_in_gaa(s(s(s(s(T166)))), s(0), 0) → U21_gaa(T166, quot349_in_gaa(T166, T168, X706))
quot349_in_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170)) → U22_gaa(T166, T170, quot416_in_ga(T166, T170))
quot416_in_ga(0, 0) → quot416_out_ga(0, 0)
quot416_in_ga(s(0), 0) → quot416_out_ga(s(0), 0)
quot416_in_ga(s(s(0)), 0) → quot416_out_ga(s(s(0)), 0)
quot416_in_ga(s(s(s(0))), 0) → quot416_out_ga(s(s(s(0))), 0)
quot416_in_ga(s(s(s(s(T166)))), 0) → U23_ga(T166, quot349_in_gaa(T166, T168, X706))
U23_ga(T166, quot349_out_gaa(T166, T168, X706)) → quot416_out_ga(s(s(s(s(T166)))), 0)
quot416_in_ga(s(s(s(s(T166)))), s(T170)) → U24_ga(T166, T170, quot416_in_ga(T166, T170))
U24_ga(T166, T170, quot416_out_ga(T166, T170)) → quot416_out_ga(s(s(s(s(T166)))), s(T170))
U22_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot349_out_gaa(s(s(s(s(T166)))), s(s(T170)), s(T170))
U21_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot349_out_gaa(s(s(s(s(T166)))), s(0), 0)
U112_gga(T166, quot349_out_gaa(T166, T168, X706)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U113_gga(T166, T170, quot416_in_ga(T166, T170))
U113_gga(T166, T170, quot416_out_ga(T166, T170)) → div1_out_gga(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
div1_in_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U114_gga(T132, T172, quot416_in_ga(T132, T172))
U114_gga(T132, T172, quot416_out_ga(T132, T172)) → div1_out_gga(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U115_gga(T190, quot509_in_g(T190))
quot509_in_g(0) → quot509_out_g(0)
quot509_in_g(s(0)) → quot509_out_g(s(0))
quot509_in_g(s(s(0))) → quot509_out_g(s(s(0)))
quot509_in_g(s(s(s(0)))) → quot509_out_g(s(s(s(0))))
quot509_in_g(s(s(s(s(0))))) → quot509_out_g(s(s(s(s(0)))))
quot509_in_g(s(s(s(s(s(T190)))))) → U25_g(T190, quot509_in_g(T190))
U25_g(T190, quot509_out_g(T190)) → quot509_out_g(s(s(s(s(s(T190))))))
U115_gga(T190, quot509_out_g(T190)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U116_gga(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(0, T184, X739) → quot507_out_gaa(0, T184, X739)
quot507_in_gaa(s(0), T184, X739) → quot507_out_gaa(s(0), T184, X739)
quot507_in_gaa(s(s(0)), T184, X739) → quot507_out_gaa(s(s(0)), T184, X739)
quot507_in_gaa(s(s(s(0))), T184, X739) → quot507_out_gaa(s(s(s(0))), T184, X739)
quot507_in_gaa(s(s(s(s(0)))), T184, X739) → quot507_out_gaa(s(s(s(s(0)))), T184, X739)
quot507_in_gaa(s(s(s(s(s(T190))))), T184, X739) → U26_gaa(T190, T184, X739, quot509_in_g(T190))
U26_gaa(T190, T184, X739, quot509_out_g(T190)) → quot507_out_gaa(s(s(s(s(s(T190))))), T184, X739)
quot507_in_gaa(0, s(0), 0) → quot507_out_gaa(0, s(0), 0)
quot507_in_gaa(s(0), s(0), 0) → quot507_out_gaa(s(0), s(0), 0)
quot507_in_gaa(s(s(0)), s(0), 0) → quot507_out_gaa(s(s(0)), s(0), 0)
quot507_in_gaa(s(s(s(0))), s(0), 0) → quot507_out_gaa(s(s(s(0))), s(0), 0)
quot507_in_gaa(s(s(s(s(0)))), s(0), 0) → quot507_out_gaa(s(s(s(s(0)))), s(0), 0)
quot507_in_gaa(s(s(s(s(s(T223))))), s(0), 0) → U27_gaa(T223, quot507_in_gaa(T223, T225, X988))
quot507_in_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227)) → U28_gaa(T223, T227, quot587_in_ga(T223, T227))
quot587_in_ga(0, 0) → quot587_out_ga(0, 0)
quot587_in_ga(s(0), 0) → quot587_out_ga(s(0), 0)
quot587_in_ga(s(s(0)), 0) → quot587_out_ga(s(s(0)), 0)
quot587_in_ga(s(s(s(0))), 0) → quot587_out_ga(s(s(s(0))), 0)
quot587_in_ga(s(s(s(s(0)))), 0) → quot587_out_ga(s(s(s(s(0)))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), 0) → U29_ga(T223, quot507_in_gaa(T223, T225, X988))
U29_ga(T223, quot507_out_gaa(T223, T225, X988)) → quot587_out_ga(s(s(s(s(s(T223))))), 0)
quot587_in_ga(s(s(s(s(s(T223))))), s(T227)) → U30_ga(T223, T227, quot587_in_ga(T223, T227))
U30_ga(T223, T227, quot587_out_ga(T223, T227)) → quot587_out_ga(s(s(s(s(s(T223))))), s(T227))
U28_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(s(T227)), s(T227))
U27_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot507_out_gaa(s(s(s(s(s(T223))))), s(0), 0)
U116_gga(T223, quot507_out_gaa(T223, T225, X988)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U117_gga(T223, T227, quot587_in_ga(T223, T227))
U117_gga(T223, T227, quot587_out_ga(T223, T227)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
div1_in_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U118_gga(T182, T229, quot587_in_ga(T182, T229))
U118_gga(T182, T229, quot587_out_ga(T182, T229)) → div1_out_gga(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U119_gga(T248, quot694_in_g(T248))
quot694_in_g(0) → quot694_out_g(0)
quot694_in_g(s(0)) → quot694_out_g(s(0))
quot694_in_g(s(s(0))) → quot694_out_g(s(s(0)))
quot694_in_g(s(s(s(0)))) → quot694_out_g(s(s(s(0))))
quot694_in_g(s(s(s(s(0))))) → quot694_out_g(s(s(s(s(0)))))
quot694_in_g(s(s(s(s(s(0)))))) → quot694_out_g(s(s(s(s(s(0))))))
quot694_in_g(s(s(s(s(s(s(T248))))))) → U31_g(T248, quot694_in_g(T248))
U31_g(T248, quot694_out_g(T248)) → quot694_out_g(s(s(s(s(s(s(T248)))))))
U119_gga(T248, quot694_out_g(T248)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U120_gga(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(0, T241, X1021) → quot692_out_gaa(0, T241, X1021)
quot692_in_gaa(s(0), T241, X1021) → quot692_out_gaa(s(0), T241, X1021)
quot692_in_gaa(s(s(0)), T241, X1021) → quot692_out_gaa(s(s(0)), T241, X1021)
quot692_in_gaa(s(s(s(0))), T241, X1021) → quot692_out_gaa(s(s(s(0))), T241, X1021)
quot692_in_gaa(s(s(s(s(0)))), T241, X1021) → quot692_out_gaa(s(s(s(s(0)))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(0))))), T241, X1021) → quot692_out_gaa(s(s(s(s(s(0))))), T241, X1021)
quot692_in_gaa(s(s(s(s(s(s(T248)))))), T241, X1021) → U32_gaa(T248, T241, X1021, quot694_in_g(T248))
U32_gaa(T248, T241, X1021, quot694_out_g(T248)) → quot692_out_gaa(s(s(s(s(s(s(T248)))))), T241, X1021)
quot692_in_gaa(0, s(0), 0) → quot692_out_gaa(0, s(0), 0)
quot692_in_gaa(s(0), s(0), 0) → quot692_out_gaa(s(0), s(0), 0)
quot692_in_gaa(s(s(0)), s(0), 0) → quot692_out_gaa(s(s(0)), s(0), 0)
quot692_in_gaa(s(s(s(0))), s(0), 0) → quot692_out_gaa(s(s(s(0))), s(0), 0)
quot692_in_gaa(s(s(s(s(0)))), s(0), 0) → quot692_out_gaa(s(s(s(s(0)))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(0))))), s(0), 0) → quot692_out_gaa(s(s(s(s(s(0))))), s(0), 0)
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(0), 0) → U33_gaa(T287, quot692_in_gaa(T287, T289, X1314))
quot692_in_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291)) → U34_gaa(T287, T291, quot785_in_ga(T287, T291))
quot785_in_ga(0, 0) → quot785_out_ga(0, 0)
quot785_in_ga(s(0), 0) → quot785_out_ga(s(0), 0)
quot785_in_ga(s(s(0)), 0) → quot785_out_ga(s(s(0)), 0)
quot785_in_ga(s(s(s(0))), 0) → quot785_out_ga(s(s(s(0))), 0)
quot785_in_ga(s(s(s(s(0)))), 0) → quot785_out_ga(s(s(s(s(0)))), 0)
quot785_in_ga(s(s(s(s(s(0))))), 0) → quot785_out_ga(s(s(s(s(s(0))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), 0) → U35_ga(T287, quot692_in_gaa(T287, T289, X1314))
U35_ga(T287, quot692_out_gaa(T287, T289, X1314)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), 0)
quot785_in_ga(s(s(s(s(s(s(T287)))))), s(T291)) → U36_ga(T287, T291, quot785_in_ga(T287, T291))
U36_ga(T287, T291, quot785_out_ga(T287, T291)) → quot785_out_ga(s(s(s(s(s(s(T287)))))), s(T291))
U34_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(s(T291)), s(T291))
U33_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot692_out_gaa(s(s(s(s(s(s(T287)))))), s(0), 0)
U120_gga(T287, quot692_out_gaa(T287, T289, X1314)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U121_gga(T287, T291, quot785_in_ga(T287, T291))
U121_gga(T287, T291, quot785_out_ga(T287, T291)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
div1_in_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U122_gga(T239, T293, quot785_in_ga(T239, T293))
U122_gga(T239, T293, quot785_out_ga(T239, T293)) → div1_out_gga(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U123_gga(T315, quot61_in_ga(T315, X1387))
quot61_in_ga(T28, X86) → U37_ga(T28, X86, quot39_in_g(T28))
U37_ga(T28, X86, quot39_out_g(T28)) → quot61_out_ga(T28, X86)
U123_gga(T315, quot61_out_ga(T315, X1387)) → div1_out_gga(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U124_gga(T320, quot151_in_ga(T320, X1416))
quot151_in_ga(T58, X214) → U38_ga(T58, X214, quot116_in_g(T58))
U38_ga(T58, X214, quot116_out_g(T58)) → quot151_out_ga(T58, X214)
U124_gga(T320, quot151_out_ga(T320, X1416)) → div1_out_gga(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U125_gga(T325, quot268_in_ga(T325, X1445))
quot268_in_ga(T95, X386) → U39_ga(T95, X386, quot220_in_g(T95))
U39_ga(T95, X386, quot220_out_g(T95)) → quot268_out_ga(T95, X386)
U125_gga(T325, quot268_out_ga(T325, X1445)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U126_gga(T330, quot412_in_ga(T330, X1474))
quot412_in_ga(T139, X602) → U40_ga(T139, X602, quot351_in_g(T139))
U40_ga(T139, X602, quot351_out_g(T139)) → quot412_out_ga(T139, X602)
U126_gga(T330, quot412_out_ga(T330, X1474)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U127_gga(T335, quot583_in_ga(T335, X1503))
quot583_in_ga(T190, X862) → U41_ga(T190, X862, quot509_in_g(T190))
U41_ga(T190, X862, quot509_out_g(T190)) → quot583_out_ga(T190, X862)
U127_gga(T335, quot583_out_ga(T335, X1503)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U128_gga(T340, quot781_in_ga(T340, X1532))
quot781_in_ga(T248, X1166) → U42_ga(T248, X1166, quot694_in_g(T248))
U42_ga(T248, X1166, quot694_out_g(T248)) → quot781_out_ga(T248, X1166)
U128_gga(T340, quot781_out_ga(T340, X1532)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U129_gga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(0, T310) → quot907_out_ga(0, T310)
quot907_in_ga(s(0), s(T314)) → quot907_out_ga(s(0), s(T314))
quot907_in_ga(s(T315), 0) → U43_ga(T315, quot61_in_ga(T315, X1387))
U43_ga(T315, quot61_out_ga(T315, X1387)) → quot907_out_ga(s(T315), 0)
quot907_in_ga(s(s(0)), s(s(T319))) → quot907_out_ga(s(s(0)), s(s(T319)))
quot907_in_ga(s(s(T320)), s(0)) → U44_ga(T320, quot151_in_ga(T320, X1416))
U44_ga(T320, quot151_out_ga(T320, X1416)) → quot907_out_ga(s(s(T320)), s(0))
quot907_in_ga(s(s(s(0))), s(s(s(T324)))) → quot907_out_ga(s(s(s(0))), s(s(s(T324))))
quot907_in_ga(s(s(s(T325))), s(s(0))) → U45_ga(T325, quot268_in_ga(T325, X1445))
U45_ga(T325, quot268_out_ga(T325, X1445)) → quot907_out_ga(s(s(s(T325))), s(s(0)))
quot907_in_ga(s(s(s(s(0)))), s(s(s(s(T329))))) → quot907_out_ga(s(s(s(s(0)))), s(s(s(s(T329)))))
quot907_in_ga(s(s(s(s(T330)))), s(s(s(0)))) → U46_ga(T330, quot412_in_ga(T330, X1474))
U46_ga(T330, quot412_out_ga(T330, X1474)) → quot907_out_ga(s(s(s(s(T330)))), s(s(s(0))))
quot907_in_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334)))))) → quot907_out_ga(s(s(s(s(s(0))))), s(s(s(s(s(T334))))))
quot907_in_ga(s(s(s(s(s(T335))))), s(s(s(s(0))))) → U47_ga(T335, quot583_in_ga(T335, X1503))
U47_ga(T335, quot583_out_ga(T335, X1503)) → quot907_out_ga(s(s(s(s(s(T335))))), s(s(s(s(0)))))
quot907_in_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339))))))) → quot907_out_ga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T339)))))))
quot907_in_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0)))))) → U48_ga(T340, quot781_in_ga(T340, X1532))
U48_ga(T340, quot781_out_ga(T340, X1532)) → quot907_out_ga(s(s(s(s(s(s(T340)))))), s(s(s(s(s(0))))))
quot907_in_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345)))))))) → quot907_out_ga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T345))))))))
quot907_in_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0))))))) → U49_ga(T347, quot907_in_ga(T347, T349))
quot907_in_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353)))))))) → U50_ga(T350, T353, quot1042_in_gaa(T350, T353, T352))
quot1042_in_gaa(0, s(T345), T346) → quot1042_out_gaa(0, s(T345), T346)
quot1042_in_gaa(T347, 0, T349) → U51_gaa(T347, T349, quot907_in_ga(T347, T349))
U51_gaa(T347, T349, quot907_out_ga(T347, T349)) → quot1042_out_gaa(T347, 0, T349)
quot1042_in_gaa(s(T350), s(T353), T352) → U52_gaa(T350, T353, T352, quot1042_in_gaa(T350, T353, T352))
U52_gaa(T350, T353, T352, quot1042_out_gaa(T350, T353, T352)) → quot1042_out_gaa(s(T350), s(T353), T352)
U50_ga(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot907_out_ga(s(s(s(s(s(s(s(s(T350)))))))), s(s(s(s(s(s(s(T353))))))))
U49_ga(T347, quot907_out_ga(T347, T349)) → quot907_out_ga(s(s(s(s(s(s(s(T347))))))), s(s(s(s(s(s(0)))))))
U129_gga(T347, quot907_out_ga(T347, T349)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U130_gga(T350, quot1042_in_gaa(T350, T353, T352))
U130_gga(T350, quot1042_out_gaa(T350, T353, T352)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U131_gga(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T20)), 0) → quot3_out_gaa(s(0), s(s(T20)), 0)
quot3_in_gaa(s(0), s(0), 0) → quot3_out_gaa(s(0), s(0), 0)
quot3_in_gaa(s(s(T28)), s(0), 0) → U53_gaa(T28, quot39_in_g(T28))
U53_gaa(T28, quot39_out_g(T28)) → quot3_out_gaa(s(s(T28)), s(0), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(0)) → U54_gaa(T37, quot37_in_gaa(T37, T39, X124))
U54_gaa(T37, quot37_out_gaa(T37, T39, X124)) → quot3_out_gaa(s(s(T37)), s(0), s(0))
quot3_in_gaa(s(s(T37)), s(0), s(s(T41))) → U55_gaa(T37, T41, quot65_in_ga(T37, T41))
U55_gaa(T37, T41, quot65_out_ga(T37, T41)) → quot3_out_gaa(s(s(T37)), s(0), s(s(T41)))
quot3_in_gaa(s(T24), s(0), s(T43)) → U56_gaa(T24, T43, quot65_in_ga(T24, T43))
U56_gaa(T24, T43, quot65_out_ga(T24, T43)) → quot3_out_gaa(s(T24), s(0), s(T43))
quot3_in_gaa(s(s(0)), s(s(s(T49))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T49))), 0)
quot3_in_gaa(s(s(0)), s(s(0)), 0) → quot3_out_gaa(s(s(0)), s(s(0)), 0)
quot3_in_gaa(s(s(s(0))), s(s(0)), 0) → quot3_out_gaa(s(s(s(0))), s(s(0)), 0)
quot3_in_gaa(s(s(s(s(T58)))), s(s(0)), 0) → U57_gaa(T58, quot116_in_g(T58))
U57_gaa(T58, quot116_out_g(T58)) → quot3_out_gaa(s(s(s(s(T58)))), s(s(0)), 0)
quot3_in_gaa(s(s(0)), s(s(0)), s(0)) → quot3_out_gaa(s(s(0)), s(s(0)), s(0))
quot3_in_gaa(s(s(s(0))), s(s(0)), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(0)) → U58_gaa(T73, quot114_in_gaa(T73, T75, X274))
U58_gaa(T73, quot114_out_gaa(T73, T75, X274)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(0))
quot3_in_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77))) → U59_gaa(T73, T77, quot155_in_ga(T73, T77))
U59_gaa(T73, T77, quot155_out_ga(T73, T77)) → quot3_out_gaa(s(s(s(s(T73)))), s(s(0)), s(s(T77)))
quot3_in_gaa(s(s(T53)), s(s(0)), s(T79)) → U60_gaa(T53, T79, quot155_in_ga(T53, T79))
U60_gaa(T53, T79, quot155_out_ga(T53, T79)) → quot3_out_gaa(s(s(T53)), s(s(0)), s(T79))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T85)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T85)))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0) → U61_gaa(T95, quot220_in_g(T95))
U61_gaa(T95, quot220_out_g(T95)) → quot3_out_gaa(s(s(s(s(s(s(T95)))))), s(s(s(0))), 0)
quot3_in_gaa(s(s(s(0))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(0))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0)) → U62_gaa(T116, quot218_in_gaa(T116, T118, X468))
U62_gaa(T116, quot218_out_gaa(T116, T118, X468)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(0))
quot3_in_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120))) → U63_gaa(T116, T120, quot272_in_ga(T116, T120))
U63_gaa(T116, T120, quot272_out_ga(T116, T120)) → quot3_out_gaa(s(s(s(s(s(s(T116)))))), s(s(s(0))), s(s(T120)))
quot3_in_gaa(s(s(s(T89))), s(s(s(0))), s(T122)) → U64_gaa(T89, T122, quot272_in_ga(T89, T122))
U64_gaa(T89, T122, quot272_out_ga(T89, T122)) → quot3_out_gaa(s(s(s(T89))), s(s(s(0))), s(T122))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T128))))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0) → U65_gaa(T139, quot351_in_g(T139))
U65_gaa(T139, quot351_out_g(T139)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T139)))))))), s(s(s(s(0)))), 0)
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0)) → U66_gaa(T166, quot349_in_gaa(T166, T168, X706))
U66_gaa(T166, quot349_out_gaa(T166, T168, X706)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170))) → U67_gaa(T166, T170, quot416_in_ga(T166, T170))
U67_gaa(T166, T170, quot416_out_ga(T166, T170)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T166)))))))), s(s(s(s(0)))), s(s(T170)))
quot3_in_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172)) → U68_gaa(T132, T172, quot416_in_ga(T132, T172))
U68_gaa(T132, T172, quot416_out_ga(T132, T172)) → quot3_out_gaa(s(s(s(s(T132)))), s(s(s(s(0)))), s(T172))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T178)))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0) → U69_gaa(T190, quot509_in_g(T190))
U69_gaa(T190, quot509_out_g(T190)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T190)))))))))), s(s(s(s(s(0))))), 0)
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0)) → U70_gaa(T223, quot507_in_gaa(T223, T225, X988))
U70_gaa(T223, quot507_out_gaa(T223, T225, X988)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227))) → U71_gaa(T223, T227, quot587_in_ga(T223, T227))
U71_gaa(T223, T227, quot587_out_ga(T223, T227)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T223)))))))))), s(s(s(s(s(0))))), s(s(T227)))
quot3_in_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229)) → U72_gaa(T182, T229, quot587_in_ga(T182, T229))
U72_gaa(T182, T229, quot587_out_ga(T182, T229)) → quot3_out_gaa(s(s(s(s(s(T182))))), s(s(s(s(s(0))))), s(T229))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T235))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0) → U73_gaa(T248, quot694_in_g(T248))
U73_gaa(T248, quot694_out_g(T248)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T248)))))))))))), s(s(s(s(s(s(0)))))), 0)
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0)) → U74_gaa(T287, quot692_in_gaa(T287, T289, X1314))
U74_gaa(T287, quot692_out_gaa(T287, T289, X1314)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(0))
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291))) → U75_gaa(T287, T291, quot785_in_ga(T287, T291))
U75_gaa(T287, T291, quot785_out_ga(T287, T291)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T287)))))))))))), s(s(s(s(s(s(0)))))), s(s(T291)))
quot3_in_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293)) → U76_gaa(T239, T293, quot785_in_ga(T239, T293))
U76_gaa(T239, T293, quot785_out_ga(T239, T293)) → quot3_out_gaa(s(s(s(s(s(s(T239)))))), s(s(s(s(s(s(0)))))), s(T293))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T300)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(0)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0) → U77_gaa(T315, quot61_in_ga(T315, X1387))
U77_gaa(T315, quot61_out_ga(T315, X1387)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T315)))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(0))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gaa(T320, quot151_in_ga(T320, X1416))
U78_gaa(T320, quot151_out_ga(T320, X1416)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(T320))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(0)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0) → U79_gaa(T325, quot268_in_ga(T325, X1445))
U79_gaa(T325, quot268_out_ga(T325, X1445)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T325)))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U80_gaa(T330, quot412_in_ga(T330, X1474))
U80_gaa(T330, quot412_out_ga(T330, X1474)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(T330))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U81_gaa(T335, quot583_in_ga(T335, X1503))
U81_gaa(T335, quot583_out_ga(T335, X1503)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T335)))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U82_gaa(T340, quot781_in_ga(T340, X1532))
U82_gaa(T340, quot781_out_ga(T340, X1532)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(T340))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U83_gaa(T347, quot907_in_ga(T347, T349))
U83_gaa(T347, quot907_out_ga(T347, T349)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T347)))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0) → U84_gaa(T350, quot1042_in_gaa(T350, T353, T352))
U84_gaa(T350, quot1042_out_gaa(T350, T353, T352)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T350))))))))))))))), s(s(s(s(s(s(s(0))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355)) → U85_gaa(T305, T355, quot3_in_gaa(T305, s(T309), T355))
quot3_in_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U86_gaa(T305, T357, quot3_in_gaa(T305, s(T309), T357))
quot3_in_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U87_gaa(T358, T363, T362, quot890_in_gaaa(T358, T363, T360, T362))
quot890_in_gaaa(0, s(T300), T301, 0) → quot890_out_gaaa(0, s(T300), T301, 0)
quot890_in_gaaa(0, 0, T310, 0) → quot890_out_gaaa(0, 0, T310, 0)
quot890_in_gaaa(s(0), 0, s(T314), 0) → quot890_out_gaaa(s(0), 0, s(T314), 0)
quot890_in_gaaa(s(T315), 0, 0, 0) → U88_gaaa(T315, quot61_in_ga(T315, X1387))
U88_gaaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_gaaa(s(T315), 0, 0, 0)
quot890_in_gaaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_gaaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_gaaa(s(s(T320)), 0, s(0), 0) → U89_gaaa(T320, quot151_in_ga(T320, X1416))
U89_gaaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_gaaa(s(s(T320)), 0, s(0), 0)
quot890_in_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_gaaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_gaaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_gaaa(T325, quot268_in_ga(T325, X1445))
U90_gaaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_gaaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_gaaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_gaaa(T330, quot412_in_ga(T330, X1474))
U91_gaaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_gaaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_gaaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_gaaa(T335, quot583_in_ga(T335, X1503))
U92_gaaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_gaaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_gaaa(T340, quot781_in_ga(T340, X1532))
U93_gaaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_gaaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_gaaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_gaaa(T347, quot907_in_ga(T347, T349))
U94_gaaa(T347, quot907_out_ga(T347, T349)) → quot890_out_gaaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_gaaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_gaaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_gaaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_gaaa(T305, 0, T309, s(T355)) → U96_gaaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_gaaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_gaaa(T305, 0, T309, s(T355))
quot890_in_gaaa(T305, 0, T309, s(T357)) → U97_gaaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_gaaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_gaaa(T305, 0, T309, s(T357))
quot890_in_gaaa(s(T358), s(T363), T360, T362) → U98_gaaa(T358, T363, T360, T362, quot890_in_gaaa(T358, T363, T360, T362))
U98_gaaa(T358, T363, T360, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot890_out_gaaa(s(T358), s(T363), T360, T362)
U87_gaa(T358, T363, T362, quot890_out_gaaa(T358, T363, T360, T362)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)
U86_gaa(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
U85_gaa(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → quot3_out_gaa(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
U131_gga(T305, T355, quot3_out_gaa(T305, s(T309), T355)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T355))
div1_in_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357)) → U132_gga(T305, T357, quot3_in_gaa(T305, s(T309), T357))
U132_gga(T305, T357, quot3_out_gaa(T305, s(T309), T357)) → div1_out_gga(s(s(s(s(s(s(s(T305))))))), s(s(s(s(s(s(s(0))))))), s(T357))
div1_in_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362) → U133_gga(T358, T363, T362, quot890_in_ggaa(T358, T363, T360, T362))
quot890_in_ggaa(0, s(T300), T301, 0) → quot890_out_ggaa(0, s(T300), T301, 0)
quot890_in_ggaa(0, 0, T310, 0) → quot890_out_ggaa(0, 0, T310, 0)
quot890_in_ggaa(s(0), 0, s(T314), 0) → quot890_out_ggaa(s(0), 0, s(T314), 0)
quot890_in_ggaa(s(T315), 0, 0, 0) → U88_ggaa(T315, quot61_in_ga(T315, X1387))
U88_ggaa(T315, quot61_out_ga(T315, X1387)) → quot890_out_ggaa(s(T315), 0, 0, 0)
quot890_in_ggaa(s(s(0)), 0, s(s(T319)), 0) → quot890_out_ggaa(s(s(0)), 0, s(s(T319)), 0)
quot890_in_ggaa(s(s(T320)), 0, s(0), 0) → U89_ggaa(T320, quot151_in_ga(T320, X1416))
U89_ggaa(T320, quot151_out_ga(T320, X1416)) → quot890_out_ggaa(s(s(T320)), 0, s(0), 0)
quot890_in_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0) → quot890_out_ggaa(s(s(s(0))), 0, s(s(s(T324))), 0)
quot890_in_ggaa(s(s(s(T325))), 0, s(s(0)), 0) → U90_ggaa(T325, quot268_in_ga(T325, X1445))
U90_ggaa(T325, quot268_out_ga(T325, X1445)) → quot890_out_ggaa(s(s(s(T325))), 0, s(s(0)), 0)
quot890_in_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0) → quot890_out_ggaa(s(s(s(s(0)))), 0, s(s(s(s(T329)))), 0)
quot890_in_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0) → U91_ggaa(T330, quot412_in_ga(T330, X1474))
U91_ggaa(T330, quot412_out_ga(T330, X1474)) → quot890_out_ggaa(s(s(s(s(T330)))), 0, s(s(s(0))), 0)
quot890_in_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0) → quot890_out_ggaa(s(s(s(s(s(0))))), 0, s(s(s(s(s(T334))))), 0)
quot890_in_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0) → U92_ggaa(T335, quot583_in_ga(T335, X1503))
U92_ggaa(T335, quot583_out_ga(T335, X1503)) → quot890_out_ggaa(s(s(s(s(s(T335))))), 0, s(s(s(s(0)))), 0)
quot890_in_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(0)))))), 0, s(s(s(s(s(s(T339)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0) → U93_ggaa(T340, quot781_in_ga(T340, X1532))
U93_ggaa(T340, quot781_out_ga(T340, X1532)) → quot890_out_ggaa(s(s(s(s(s(s(T340)))))), 0, s(s(s(s(s(0))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0) → quot890_out_ggaa(s(s(s(s(s(s(s(0))))))), 0, s(s(s(s(s(s(s(T345))))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0) → U94_ggaa(T347, quot907_in_ga(T347, T349))
U94_ggaa(T347, quot907_out_ga(T347, T349)) → quot890_out_ggaa(s(s(s(s(s(s(s(T347))))))), 0, s(s(s(s(s(s(0)))))), 0)
quot890_in_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0) → U95_ggaa(T350, T353, quot1042_in_gaa(T350, T353, T352))
U95_ggaa(T350, T353, quot1042_out_gaa(T350, T353, T352)) → quot890_out_ggaa(s(s(s(s(s(s(s(s(T350)))))))), 0, s(s(s(s(s(s(s(T353))))))), 0)
quot890_in_ggaa(T305, 0, T309, s(T355)) → U96_ggaa(T305, T309, T355, quot3_in_gaa(T305, s(T309), T355))
U96_ggaa(T305, T309, T355, quot3_out_gaa(T305, s(T309), T355)) → quot890_out_ggaa(T305, 0, T309, s(T355))
quot890_in_ggaa(T305, 0, T309, s(T357)) → U97_ggaa(T305, T309, T357, quot3_in_gaa(T305, s(T309), T357))
U97_ggaa(T305, T309, T357, quot3_out_gaa(T305, s(T309), T357)) → quot890_out_ggaa(T305, 0, T309, s(T357))
quot890_in_ggaa(s(T358), s(T363), T360, T362) → U98_ggaa(T358, T363, T360, T362, quot890_in_ggaa(T358, T363, T360, T362))
U98_ggaa(T358, T363, T360, T362, quot890_out_ggaa(T358, T363, T360, T362)) → quot890_out_ggaa(s(T358), s(T363), T360, T362)
U133_gga(T358, T363, T362, quot890_out_ggaa(T358, T363, T360, T362)) → div1_out_gga(s(s(s(s(s(s(s(s(T358)))))))), s(s(s(s(s(s(s(s(T363)))))))), T362)

(108) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(109) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT890_IN_GGAA(s(T358), s(T363), T360, T362) → QUOT890_IN_GGAA(T358, T363, T360, T362)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOT890_IN_GGAA(x1, x2, x3, x4) = QUOT890_IN_GGAA(x1, x2)

We have to consider all (P,R,Pi)-chains

(110) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(111) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOT890_IN_GGAA(s(T358), s(T363)) → QUOT890_IN_GGAA(T358, T363)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(112) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOT890_IN_GGAA(s(T358), s(T363)) → QUOT890_IN_GGAA(T358, T363)
The graph contains the following edges 1 > 1, 2 > 2