Left Termination proof of /tmp/tmp8

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

(0) Obligation:

Clauses:

div(X, Y, Z) :- quot(X, Y, Y, Z).
quot(0, s(Y), s(Z), 0).
quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U).
quot(X, Y, Z, U) :- ','(no(zero(X)), ','(no(zero(Y)), ','(p(X, Px), ','(p(Y, Py), quot(Px, Py, Z, U))))).
p(0, 0).
p(s(X), X).
zero(0).
no(X) :- ','(X, ','(!, failure(a))).
no(X1).
failure(b).

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\n\nT4 is ground\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
5 [label="5: quot(T4, T5, T5, T7), SCOPE: 2, CLAUSE: 1\n\nT4 is ground\nT5 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\n\nT4 is ground\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
7 [label="7: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
8 [label="8: \n\nX12 is free\nX13 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
9 [label="9: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
10 [label="10: quot(T4, T5, T5, T7), SCOPE: 2, CLAUSE: 3\n\nT4 is ground\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
11 [label="11: ','(no(zero(T9)), ','(no(zero(T10)), ','(p(T9, X25), ','(p(T10, X26), quot(X25, X26, T10, T12)))))\n\nT9 is ground\nT10 is ground\nX25 is free; \nX26 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
12 [label="12: ','(no(zero(T9)), ','(no(zero(T10)), ','(p(T9, X25), ','(p(T10, X26), quot(X25, X26, T10, T12))))), SCOPE: 3, CLAUSE: 7 | ','(no(zero(T9)), ','(no(zero(T10)), ','(p(T9, X25), ','(p(T10, X26), quot(X25, X26, T10, T12))))), SCOPE: 3, CLAUSE: 8 | ?_3\n\nT9 is ground\nT10 is ground\nX25 is free; \nX26 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
13 [label="13: ','(zero(T13), ','(!_3, ','(failure(a), ','(no(zero(T10)), ','(p(T13, X25), ','(p(T10, X26), quot(X25, X26, T10, T12))))))) | ','(no(zero(T13)), ','(no(zero(T10)), ','(p(T13, X25), ','(p(T10, X26), quot(X25, X26, T10, T12))))), SCOPE: 3, CLAUSE: 8 | ?_3\n\nT10 is ground\nT13 is ground\nX25 is free; \nX26 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
14 [label="14: ','(zero(T13), ','(!_3, ','(failure(a), ','(no(zero(T10)), ','(p(T13, X25), ','(p(T10, X26), quot(X25, X26, T10, T12))))))), SCOPE: 4, CLAUSE: 6 | ','(no(zero(T13)), ','(no(zero(T10)), ','(p(T13, X25), ','(p(T10, X26), quot(X25, X26, T10, T12))))), SCOPE: 3, CLAUSE: 8 | ?_3\n\nT10 is ground\nT13 is ground\nX25 is free; \nX26 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
15 [label="15: ','(!_3, ','(failure(a), ','(no(zero(T10)), ','(p(0, X25), ','(p(T10, X26), quot(X25, X26, T10, T12)))))) | ','(no(zero(0)), ','(no(zero(T10)), ','(p(0, X25), ','(p(T10, X26), quot(X25, X26, T10, T12))))), SCOPE: 3, CLAUSE: 8 | ?_3\n\nT10 is ground\nX25 is free; \nX26 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
16 [label="16: ','(no(zero(T13)), ','(no(zero(T10)), ','(p(T13, X25), ','(p(T10, X26), quot(X25, X26, T10, T12))))), SCOPE: 3, CLAUSE: 8\n\nT10 is ground\nT13 is ground\nX25 is free; \nX26 is free; \nzero(T13) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
17 [label="17: ','(failure(a), ','(no(zero(T10)), ','(p(0, X25), ','(p(T10, X26), quot(X25, X26, T10, T12)))))\n\nT10 is ground\nX25 is free; \nX26 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
18 [label="18: ','(failure(a), ','(no(zero(T10)), ','(p(0, X25), ','(p(T10, X26), quot(X25, X26, T10, T12))))), SCOPE: 5, CLAUSE: 9\n\nT10 is ground\nX25 is free; \nX26 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
19 [label="19: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
20 [label="20: ','(no(zero(T10)), ','(p(T14, X25), ','(p(T10, X26), quot(X25, X26, T10, T12))))\n\nT10 is ground\nT14 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
21 [label="21: ','(no(zero(T10)), ','(p(T14, X25), ','(p(T10, X26), quot(X25, X26, T10, T12)))), SCOPE: 6, CLAUSE: 7 | ','(no(zero(T10)), ','(p(T14, X25), ','(p(T10, X26), quot(X25, X26, T10, T12)))), SCOPE: 6, CLAUSE: 8 | ?_6\n\nT10 is ground\nT14 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
22 [label="22: ','(zero(T15), ','(!_6, ','(failure(a), ','(p(T14, X25), ','(p(T15, X26), quot(X25, X26, T15, T12)))))) | ','(no(zero(T15)), ','(p(T14, X25), ','(p(T15, X26), quot(X25, X26, T15, T12)))), SCOPE: 6, CLAUSE: 8 | ?_6\n\nT14 is ground\nT15 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
23 [label="23: ','(zero(T15), ','(!_6, ','(failure(a), ','(p(T14, X25), ','(p(T15, X26), quot(X25, X26, T15, T12)))))), SCOPE: 7, CLAUSE: 6 | ','(no(zero(T15)), ','(p(T14, X25), ','(p(T15, X26), quot(X25, X26, T15, T12)))), SCOPE: 6, CLAUSE: 8 | ?_6\n\nT14 is ground\nT15 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
24 [label="24: ','(!_6, ','(failure(a), ','(p(T14, X25), ','(p(0, X26), quot(X25, X26, 0, T12))))) | ','(no(zero(0)), ','(p(T14, X25), ','(p(0, X26), quot(X25, X26, 0, T12)))), SCOPE: 6, CLAUSE: 8 | ?_6\n\nT14 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
25 [label="25: ','(no(zero(T15)), ','(p(T14, X25), ','(p(T15, X26), quot(X25, X26, T15, T12)))), SCOPE: 6, CLAUSE: 8\n\nT14 is ground\nT15 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)\nzero(T15) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
26 [label="26: ','(failure(a), ','(p(T14, X25), ','(p(0, X26), quot(X25, X26, 0, T12))))\n\nT14 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
27 [label="27: ','(failure(a), ','(p(T14, X25), ','(p(0, X26), quot(X25, X26, 0, T12)))), SCOPE: 8, CLAUSE: 9\n\nT14 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
28 [label="28: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
29 [label="29: ','(p(T14, X25), ','(p(T16, X26), quot(X25, X26, T16, T12)))\n\nT14 is ground\nT16 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)\nzero(T16) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
30 [label="30: ','(p(T14, X25), ','(p(T16, X26), quot(X25, X26, T16, T12))), SCOPE: 9, CLAUSE: 4 | ','(p(T14, X25), ','(p(T16, X26), quot(X25, X26, T16, T12))), SCOPE: 9, CLAUSE: 5\n\nT14 is ground\nT16 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)\nzero(T16) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
31 [label="31: ','(p(T14, X25), ','(p(T16, X26), quot(X25, X26, T16, T12))), SCOPE: 9, CLAUSE: 5\n\nT14 is ground\nT16 is ground\nX25 is free; \nX26 is free; \nzero(T14) !=? zero(0)\nzero(T16) !=? zero(0)\np(T14, X25) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
32 [label="32: ','(p(T16, X26), quot(T17, X26, T16, T12))\n\nT16 is ground\nT17 is ground\nX25 is free; \nX26 is free; \nzero(T16) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
33 [label="33: \n\nX25 is free\nX36 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
34 [label="34: ','(p(T16, X26), quot(T17, X26, T16, T12)), SCOPE: 10, CLAUSE: 4 | ','(p(T16, X26), quot(T17, X26, T16, T12)), SCOPE: 10, CLAUSE: 5\n\nT16 is ground\nT17 is ground\nX26 is free; \nzero(T16) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
35 [label="35: ','(p(T16, X26), quot(T17, X26, T16, T12)), SCOPE: 10, CLAUSE: 5\n\nT16 is ground\nT17 is ground\nX26 is free; \nzero(T16) !=? zero(0)\np(T16, X26) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
36 [label="36: quot(T17, T18, s(T18), T12)\n\nT17 is ground\nT18 is ground\nX26 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
37 [label="37: \n\nX26 is free\nX38 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
38 [label="38: quot(T17, T18, s(T18), T12), SCOPE: 11, CLAUSE: 1 | quot(T17, T18, s(T18), T12), SCOPE: 11, CLAUSE: 2 | quot(T17, T18, s(T18), T12), SCOPE: 11, CLAUSE: 3\n\nT17 is ground\nT18 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
39 [label="39: quot(T17, T18, s(T18), T12), SCOPE: 11, CLAUSE: 1\n\nT17 is ground\nT18 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
40 [label="40: quot(T17, T18, s(T18), T12), SCOPE: 11, CLAUSE: 2 | quot(T17, T18, s(T18), T12), SCOPE: 11, CLAUSE: 3\n\nT17 is ground\nT18 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
41 [label="41: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
42 [label="42: \n\nX43 is free\nX44 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
43 [label="43: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
44 [label="44: quot(T17, T18, s(T18), T12), SCOPE: 11, CLAUSE: 2\n\nT17 is ground\nT18 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
45 [label="45: quot(T17, T18, s(T18), T12), SCOPE: 11, CLAUSE: 3\n\nT17 is ground\nT18 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
46 [label="46: quot(T20, s(0), s(0), T22)\n\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
47 [label="47: \n\nX51 is free\nX52 is free; \nX53 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
48 [label="48: quot(T20, s(0), s(0), T22), SCOPE: 12, CLAUSE: 1 | quot(T20, s(0), s(0), T22), SCOPE: 12, CLAUSE: 2 | quot(T20, s(0), s(0), T22), SCOPE: 12, CLAUSE: 3\n\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
49 [label="49: quot(T20, s(0), s(0), T22), SCOPE: 12, CLAUSE: 1\n\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
50 [label="50: quot(T20, s(0), s(0), T22), SCOPE: 12, CLAUSE: 2 | quot(T20, s(0), s(0), T22), SCOPE: 12, CLAUSE: 3\n\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
51 [label="51: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
52 [label="52: \n\nX58 is free\nX59 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
53 [label="53: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
54 [label="54: quot(T20, s(0), s(0), T22), SCOPE: 12, CLAUSE: 3\n\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
55 [label="55: ','(no(zero(T23)), ','(no(zero(s(0))), ','(p(T23, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))))\n\nT23 is ground\nX71 is free; \nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
56 [label="56: ','(no(zero(T23)), ','(no(zero(s(0))), ','(p(T23, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))))), SCOPE: 13, CLAUSE: 7 | ','(no(zero(T23)), ','(no(zero(s(0))), ','(p(T23, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))))), SCOPE: 13, CLAUSE: 8 | ?_13\n\nT23 is ground\nX71 is free; \nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
57 [label="57: ','(zero(T26), ','(!_13, ','(failure(a), ','(no(zero(s(0))), ','(p(T26, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))))))) | ','(no(zero(T26)), ','(no(zero(s(0))), ','(p(T26, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))))), SCOPE: 13, CLAUSE: 8 | ?_13\n\nT26 is ground\nX71 is free; \nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
58 [label="58: ','(zero(T26), ','(!_13, ','(failure(a), ','(no(zero(s(0))), ','(p(T26, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))))))), SCOPE: 14, CLAUSE: 6 | ','(no(zero(T26)), ','(no(zero(s(0))), ','(p(T26, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))))), SCOPE: 13, CLAUSE: 8 | ?_13\n\nT26 is ground\nX71 is free; \nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
59 [label="59: ','(!_13, ','(failure(a), ','(no(zero(s(0))), ','(p(0, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))))) | ','(no(zero(0)), ','(no(zero(s(0))), ','(p(0, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))))), SCOPE: 13, CLAUSE: 8 | ?_13\n\nX71 is free\nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
60 [label="60: ','(no(zero(T26)), ','(no(zero(s(0))), ','(p(T26, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))))), SCOPE: 13, CLAUSE: 8\n\nT26 is ground\nX71 is free; \nX72 is free; \nzero(T26) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
61 [label="61: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))))\n\nX71 is free\nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
62 [label="62: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))))), SCOPE: 15, CLAUSE: 9\n\nX71 is free\nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
63 [label="63: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
64 [label="64: ','(no(zero(s(0))), ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))))\n\nT27 is ground\nX71 is free; \nX72 is free; \nzero(T27) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
65 [label="65: ','(no(zero(s(0))), ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))), SCOPE: 16, CLAUSE: 7 | ','(no(zero(s(0))), ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))), SCOPE: 16, CLAUSE: 8 | ?_16\n\nT27 is ground\nX71 is free; \nX72 is free; \nzero(T27) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
66 [label="66: ','(zero(s(0)), ','(!_16, ','(failure(a), ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))))) | ','(no(zero(s(0))), ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))), SCOPE: 16, CLAUSE: 8 | ?_16\n\nT27 is ground\nX71 is free; \nX72 is free; \nzero(T27) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
67 [label="67: ','(zero(s(0)), ','(!_16, ','(failure(a), ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))))), SCOPE: 17, CLAUSE: 6 | ','(no(zero(s(0))), ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))), SCOPE: 16, CLAUSE: 8 | ?_16\n\nT27 is ground\nX71 is free; \nX72 is free; \nzero(T27) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
68 [label="68: ','(no(zero(s(0))), ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))), SCOPE: 16, CLAUSE: 8\n\nT27 is ground\nX71 is free; \nX72 is free; \nzero(T27) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
69 [label="69: ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25)))\n\nT27 is ground\nX71 is free; \nX72 is free; \nzero(T27) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
70 [label="70: ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))), SCOPE: 18, CLAUSE: 4 | ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))), SCOPE: 18, CLAUSE: 5\n\nT27 is ground\nX71 is free; \nX72 is free; \nzero(T27) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
71 [label="71: ','(p(T27, X71), ','(p(s(0), X72), quot(X71, X72, s(0), T25))), SCOPE: 18, CLAUSE: 5\n\nT27 is ground\nX71 is free; \nX72 is free; \nzero(T27) !=? zero(0)\np(T27, X71) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
72 [label="72: ','(p(s(0), X72), quot(T28, X72, s(0), T25))\n\nT28 is ground\nX71 is free; \nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
73 [label="73: \n\nX71 is free\nX82 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
74 [label="74: ','(p(s(0), X72), quot(T28, X72, s(0), T25)), SCOPE: 19, CLAUSE: 4 | ','(p(s(0), X72), quot(T28, X72, s(0), T25)), SCOPE: 19, CLAUSE: 5\n\nT28 is ground\nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
75 [label="75: ','(p(s(0), X72), quot(T28, X72, s(0), T25)), SCOPE: 19, CLAUSE: 5\n\nT28 is ground\nX72 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
76 [label="76: quot(T28, 0, s(0), T25)\n\nT28 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
77 [label="77: quot(T28, 0, s(0), T25), SCOPE: 20, CLAUSE: 1 | quot(T28, 0, s(0), T25), SCOPE: 20, CLAUSE: 2 | quot(T28, 0, s(0), T25), SCOPE: 20, CLAUSE: 3\n\nT28 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
78 [label="78: quot(T28, 0, s(0), T25), SCOPE: 20, CLAUSE: 2 | quot(T28, 0, s(0), T25), SCOPE: 20, CLAUSE: 3\n\nT28 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
79 [label="79: quot(T28, 0, s(0), T25), SCOPE: 20, CLAUSE: 2\n\nT28 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
80 [label="80: quot(T28, 0, s(0), T25), SCOPE: 20, CLAUSE: 3\n\nT28 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
81 [label="81: quot(T29, s(0), s(0), T31)\n\nT29 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
82 [label="82: \n\nX93 is free\nX94 is free; \nX95 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
83 [label="83: ','(no(zero(T32)), ','(no(zero(0)), ','(p(T32, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))))\n\nT32 is ground\nX104 is free; \nX105 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
84 [label="84: ','(no(zero(T32)), ','(no(zero(0)), ','(p(T32, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))), SCOPE: 21, CLAUSE: 7 | ','(no(zero(T32)), ','(no(zero(0)), ','(p(T32, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))), SCOPE: 21, CLAUSE: 8 | ?_21\n\nT32 is ground\nX104 is free; \nX105 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
85 [label="85: ','(zero(T35), ','(!_21, ','(failure(a), ','(no(zero(0)), ','(p(T35, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))))) | ','(no(zero(T35)), ','(no(zero(0)), ','(p(T35, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))), SCOPE: 21, CLAUSE: 8 | ?_21\n\nT35 is ground\nX104 is free; \nX105 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
86 [label="86: ','(zero(T35), ','(!_21, ','(failure(a), ','(no(zero(0)), ','(p(T35, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))))), SCOPE: 22, CLAUSE: 6 | ','(no(zero(T35)), ','(no(zero(0)), ','(p(T35, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))), SCOPE: 21, CLAUSE: 8 | ?_21\n\nT35 is ground\nX104 is free; \nX105 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
87 [label="87: ','(!_21, ','(failure(a), ','(no(zero(0)), ','(p(0, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))))) | ','(no(zero(0)), ','(no(zero(0)), ','(p(0, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))), SCOPE: 21, CLAUSE: 8 | ?_21\n\nX104 is free\nX105 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
88 [label="88: ','(no(zero(T35)), ','(no(zero(0)), ','(p(T35, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))), SCOPE: 21, CLAUSE: 8\n\nT35 is ground\nX104 is free; \nX105 is free; \nzero(T35) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
89 [label="89: ','(failure(a), ','(no(zero(0)), ','(p(0, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))))\n\nX104 is free\nX105 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
90 [label="90: ','(failure(a), ','(no(zero(0)), ','(p(0, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))), SCOPE: 23, CLAUSE: 9\n\nX104 is free\nX105 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
91 [label="91: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
92 [label="92: ','(no(zero(0)), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))\n\nT36 is ground\nX104 is free; \nX105 is free; \nzero(T36) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
93 [label="93: ','(no(zero(0)), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))), SCOPE: 24, CLAUSE: 7 | ','(no(zero(0)), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))), SCOPE: 24, CLAUSE: 8 | ?_24\n\nT36 is ground\nX104 is free; \nX105 is free; \nzero(T36) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
94 [label="94: ','(zero(0), ','(!_24, ','(failure(a), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))))) | ','(no(zero(0)), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))), SCOPE: 24, CLAUSE: 8 | ?_24\n\nT36 is ground\nX104 is free; \nX105 is free; \nzero(T36) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
95 [label="95: ','(zero(0), ','(!_24, ','(failure(a), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))))), SCOPE: 25, CLAUSE: 6 | ','(no(zero(0)), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))), SCOPE: 24, CLAUSE: 8 | ?_24\n\nT36 is ground\nX104 is free; \nX105 is free; \nzero(T36) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
96 [label="96: ','(!_24, ','(failure(a), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))) | ','(no(zero(0)), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))), SCOPE: 24, CLAUSE: 8 | ?_24\n\nT36 is ground\nX104 is free; \nX105 is free; \nzero(T36) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
97 [label="97: ','(failure(a), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34))))\n\nT36 is ground\nX104 is free; \nX105 is free; \nzero(T36) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
98 [label="98: ','(failure(a), ','(p(T36, X104), ','(p(0, X105), quot(X104, X105, s(0), T34)))), SCOPE: 26, CLAUSE: 9\n\nT36 is ground\nX104 is free; \nX105 is free; \nzero(T36) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
99 [label="99: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
100 [label="100: ','(no(zero(T37)), ','(no(zero(T38)), ','(p(T37, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40)))))\n\nT37 is ground\nT38 is ground\nX120 is free; \nX121 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
101 [label="101: ','(no(zero(T37)), ','(no(zero(T38)), ','(p(T37, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40))))), SCOPE: 27, CLAUSE: 7 | ','(no(zero(T37)), ','(no(zero(T38)), ','(p(T37, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40))))), SCOPE: 27, CLAUSE: 8 | ?_27\n\nT37 is ground\nT38 is ground\nX120 is free; \nX121 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
102 [label="102: ','(zero(T41), ','(!_27, ','(failure(a), ','(no(zero(T38)), ','(p(T41, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40))))))) | ','(no(zero(T41)), ','(no(zero(T38)), ','(p(T41, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40))))), SCOPE: 27, CLAUSE: 8 | ?_27\n\nT38 is ground\nT41 is ground\nX120 is free; \nX121 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
103 [label="103: ','(zero(T41), ','(!_27, ','(failure(a), ','(no(zero(T38)), ','(p(T41, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40))))))), SCOPE: 28, CLAUSE: 6 | ','(no(zero(T41)), ','(no(zero(T38)), ','(p(T41, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40))))), SCOPE: 27, CLAUSE: 8 | ?_27\n\nT38 is ground\nT41 is ground\nX120 is free; \nX121 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
104 [label="104: ','(!_27, ','(failure(a), ','(no(zero(T38)), ','(p(0, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40)))))) | ','(no(zero(0)), ','(no(zero(T38)), ','(p(0, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40))))), SCOPE: 27, CLAUSE: 8 | ?_27\n\nT38 is ground\nX120 is free; \nX121 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
105 [label="105: ','(no(zero(T41)), ','(no(zero(T38)), ','(p(T41, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40))))), SCOPE: 27, CLAUSE: 8\n\nT38 is ground\nT41 is ground\nX120 is free; \nX121 is free; \nzero(T41) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
106 [label="106: ','(failure(a), ','(no(zero(T38)), ','(p(0, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40)))))\n\nT38 is ground\nX120 is free; \nX121 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
107 [label="107: ','(failure(a), ','(no(zero(T38)), ','(p(0, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40))))), SCOPE: 29, CLAUSE: 9\n\nT38 is ground\nX120 is free; \nX121 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
108 [label="108: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
109 [label="109: ','(no(zero(T38)), ','(p(T42, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40))))\n\nT38 is ground\nT42 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
110 [label="110: ','(no(zero(T38)), ','(p(T42, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40)))), SCOPE: 30, CLAUSE: 7 | ','(no(zero(T38)), ','(p(T42, X120), ','(p(T38, X121), quot(X120, X121, s(T38), T40)))), SCOPE: 30, CLAUSE: 8 | ?_30\n\nT38 is ground\nT42 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
111 [label="111: ','(zero(T43), ','(!_30, ','(failure(a), ','(p(T42, X120), ','(p(T43, X121), quot(X120, X121, s(T43), T40)))))) | ','(no(zero(T43)), ','(p(T42, X120), ','(p(T43, X121), quot(X120, X121, s(T43), T40)))), SCOPE: 30, CLAUSE: 8 | ?_30\n\nT42 is ground\nT43 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
112 [label="112: ','(zero(T43), ','(!_30, ','(failure(a), ','(p(T42, X120), ','(p(T43, X121), quot(X120, X121, s(T43), T40)))))), SCOPE: 31, CLAUSE: 6 | ','(no(zero(T43)), ','(p(T42, X120), ','(p(T43, X121), quot(X120, X121, s(T43), T40)))), SCOPE: 30, CLAUSE: 8 | ?_30\n\nT42 is ground\nT43 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
113 [label="113: ','(!_30, ','(failure(a), ','(p(T42, X120), ','(p(0, X121), quot(X120, X121, s(0), T40))))) | ','(no(zero(0)), ','(p(T42, X120), ','(p(0, X121), quot(X120, X121, s(0), T40)))), SCOPE: 30, CLAUSE: 8 | ?_30\n\nT42 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
114 [label="114: ','(no(zero(T43)), ','(p(T42, X120), ','(p(T43, X121), quot(X120, X121, s(T43), T40)))), SCOPE: 30, CLAUSE: 8\n\nT42 is ground\nT43 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)\nzero(T43) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
115 [label="115: ','(failure(a), ','(p(T42, X120), ','(p(0, X121), quot(X120, X121, s(0), T40))))\n\nT42 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
116 [label="116: ','(failure(a), ','(p(T42, X120), ','(p(0, X121), quot(X120, X121, s(0), T40)))), SCOPE: 32, CLAUSE: 9\n\nT42 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
117 [label="117: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
118 [label="118: ','(p(T42, X120), ','(p(T44, X121), quot(X120, X121, s(T44), T40)))\n\nT42 is ground\nT44 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)\nzero(T44) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
119 [label="119: ','(p(T42, X120), ','(p(T44, X121), quot(X120, X121, s(T44), T40))), SCOPE: 33, CLAUSE: 4 | ','(p(T42, X120), ','(p(T44, X121), quot(X120, X121, s(T44), T40))), SCOPE: 33, CLAUSE: 5\n\nT42 is ground\nT44 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)\nzero(T44) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
120 [label="120: ','(p(T42, X120), ','(p(T44, X121), quot(X120, X121, s(T44), T40))), SCOPE: 33, CLAUSE: 5\n\nT42 is ground\nT44 is ground\nX120 is free; \nX121 is free; \nzero(T42) !=? zero(0)\nzero(T44) !=? zero(0)\np(T42, X120) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
121 [label="121: ','(p(T44, X121), quot(T45, X121, s(T44), T40))\n\nT44 is ground\nT45 is ground\nX120 is free; \nX121 is free; \nzero(T44) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
122 [label="122: \n\nX120 is free\nX131 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
123 [label="123: ','(p(T44, X121), quot(T45, X121, s(T44), T40)), SCOPE: 34, CLAUSE: 4 | ','(p(T44, X121), quot(T45, X121, s(T44), T40)), SCOPE: 34, CLAUSE: 5\n\nT44 is ground\nT45 is ground\nX121 is free; \nzero(T44) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
124 [label="124: ','(p(T44, X121), quot(T45, X121, s(T44), T40)), SCOPE: 34, CLAUSE: 5\n\nT44 is ground\nT45 is ground\nX121 is free; \nzero(T44) !=? zero(0)\np(T44, X121) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
125 [label="125: quot(T45, T46, s(s(T46)), T40)\n\nT45 is ground\nT46 is ground\nX121 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
126 [label="126: \n\nX121 is free\nX133 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
127 [label="127: quot(T45, T46, s(s(T46)), T40), SCOPE: 35, CLAUSE: 1 | quot(T45, T46, s(s(T46)), T40), SCOPE: 35, CLAUSE: 2 | quot(T45, T46, s(s(T46)), T40), SCOPE: 35, CLAUSE: 3\n\nT45 is ground\nT46 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
128 [label="128: quot(T45, T46, s(s(T46)), T40), SCOPE: 35, CLAUSE: 1\n\nT45 is ground\nT46 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
129 [label="129: quot(T45, T46, s(s(T46)), T40), SCOPE: 35, CLAUSE: 2 | quot(T45, T46, s(s(T46)), T40), SCOPE: 35, CLAUSE: 3\n\nT45 is ground\nT46 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
130 [label="130: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
131 [label="131: \n\nX138 is free\nX139 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
132 [label="132: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
133 [label="133: quot(T45, T46, s(s(T46)), T40), SCOPE: 35, CLAUSE: 2\n\nT45 is ground\nT46 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
134 [label="134: quot(T45, T46, s(s(T46)), T40), SCOPE: 35, CLAUSE: 3\n\nT45 is ground\nT46 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
135 [label="135: quot(T48, s(s(0)), s(s(0)), T50)\n\nT48 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
136 [label="136: \n\nX146 is free\nX147 is free; \nX148 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
137 [label="137: quot(T48, s(s(0)), s(s(0)), T50), SCOPE: 36, CLAUSE: 1 | quot(T48, s(s(0)), s(s(0)), T50), SCOPE: 36, CLAUSE: 2 | quot(T48, s(s(0)), s(s(0)), T50), SCOPE: 36, CLAUSE: 3\n\nT48 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
138 [label="138: quot(T48, s(s(0)), s(s(0)), T50), SCOPE: 36, CLAUSE: 1\n\nT48 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
139 [label="139: quot(T48, s(s(0)), s(s(0)), T50), SCOPE: 36, CLAUSE: 2 | quot(T48, s(s(0)), s(s(0)), T50), SCOPE: 36, CLAUSE: 3\n\nT48 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
140 [label="140: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
141 [label="141: \n\nX153 is free\nX154 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
142 [label="142: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
143 [label="143: quot(T48, s(s(0)), s(s(0)), T50), SCOPE: 36, CLAUSE: 3\n\nT48 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
144 [label="144: ','(no(zero(T51)), ','(no(zero(s(s(0)))), ','(p(T51, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))))\n\nT51 is ground\nX166 is free; \nX167 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
145 [label="145: ','(no(zero(T51)), ','(no(zero(s(s(0)))), ','(p(T51, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))))), SCOPE: 37, CLAUSE: 7 | ','(no(zero(T51)), ','(no(zero(s(s(0)))), ','(p(T51, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))))), SCOPE: 37, CLAUSE: 8 | ?_37\n\nT51 is ground\nX166 is free; \nX167 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
146 [label="146: ','(zero(T54), ','(!_37, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(T54, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))))))) | ','(no(zero(T54)), ','(no(zero(s(s(0)))), ','(p(T54, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))))), SCOPE: 37, CLAUSE: 8 | ?_37\n\nT54 is ground\nX166 is free; \nX167 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
147 [label="147: ','(zero(T54), ','(!_37, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(T54, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))))))), SCOPE: 38, CLAUSE: 6 | ','(no(zero(T54)), ','(no(zero(s(s(0)))), ','(p(T54, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))))), SCOPE: 37, CLAUSE: 8 | ?_37\n\nT54 is ground\nX166 is free; \nX167 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
148 [label="148: ','(!_37, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))))) | ','(no(zero(0)), ','(no(zero(s(s(0)))), ','(p(0, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))))), SCOPE: 37, CLAUSE: 8 | ?_37\n\nX166 is free\nX167 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
149 [label="149: ','(no(zero(T54)), ','(no(zero(s(s(0)))), ','(p(T54, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))))), SCOPE: 37, CLAUSE: 8\n\nT54 is ground\nX166 is free; \nX167 is free; \nzero(T54) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
150 [label="150: ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))))\n\nX166 is free\nX167 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
151 [label="151: ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))))), SCOPE: 39, CLAUSE: 9\n\nX166 is free\nX167 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
152 [label="152: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
153 [label="153: ','(no(zero(s(s(0)))), ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))))\n\nT55 is ground\nX166 is free; \nX167 is free; \nzero(T55) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
154 [label="154: ','(no(zero(s(s(0)))), ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))), SCOPE: 40, CLAUSE: 7 | ','(no(zero(s(s(0)))), ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))), SCOPE: 40, CLAUSE: 8 | ?_40\n\nT55 is ground\nX166 is free; \nX167 is free; \nzero(T55) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
155 [label="155: ','(zero(s(s(0))), ','(!_40, ','(failure(a), ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))))) | ','(no(zero(s(s(0)))), ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))), SCOPE: 40, CLAUSE: 8 | ?_40\n\nT55 is ground\nX166 is free; \nX167 is free; \nzero(T55) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
156 [label="156: ','(zero(s(s(0))), ','(!_40, ','(failure(a), ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))))), SCOPE: 41, CLAUSE: 6 | ','(no(zero(s(s(0)))), ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))), SCOPE: 40, CLAUSE: 8 | ?_40\n\nT55 is ground\nX166 is free; \nX167 is free; \nzero(T55) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
157 [label="157: ','(no(zero(s(s(0)))), ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))), SCOPE: 40, CLAUSE: 8\n\nT55 is ground\nX166 is free; \nX167 is free; \nzero(T55) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
158 [label="158: ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53)))\n\nT55 is ground\nX166 is free; \nX167 is free; \nzero(T55) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
159 [label="159: ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))), SCOPE: 42, CLAUSE: 4 | ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))), SCOPE: 42, CLAUSE: 5\n\nT55 is ground\nX166 is free; \nX167 is free; \nzero(T55) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
160 [label="160: ','(p(T55, X166), ','(p(s(s(0)), X167), quot(X166, X167, s(s(0)), T53))), SCOPE: 42, CLAUSE: 5\n\nT55 is ground\nX166 is free; \nX167 is free; \nzero(T55) !=? zero(0)\np(T55, X166) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
161 [label="161: ','(p(s(s(0)), X167), quot(T56, X167, s(s(0)), T53))\n\nT56 is ground\nX166 is free; \nX167 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
162 [label="162: \n\nX166 is free\nX177 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
163 [label="163: ','(p(s(s(0)), X167), quot(T56, X167, s(s(0)), T53)), SCOPE: 43, CLAUSE: 4 | ','(p(s(s(0)), X167), quot(T56, X167, s(s(0)), T53)), SCOPE: 43, CLAUSE: 5\n\nT56 is ground\nX167 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
164 [label="164: ','(p(s(s(0)), X167), quot(T56, X167, s(s(0)), T53)), SCOPE: 43, CLAUSE: 5\n\nT56 is ground\nX167 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
165 [label="165: quot(T56, s(0), s(s(0)), T53)\n\nT56 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
166 [label="166: quot(T56, s(0), s(s(0)), T53), SCOPE: 44, CLAUSE: 1 | quot(T56, s(0), s(s(0)), T53), SCOPE: 44, CLAUSE: 2 | quot(T56, s(0), s(s(0)), T53), SCOPE: 44, CLAUSE: 3\n\nT56 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
167 [label="167: quot(T56, s(0), s(s(0)), T53), SCOPE: 44, CLAUSE: 1\n\nT56 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
168 [label="168: quot(T56, s(0), s(s(0)), T53), SCOPE: 44, CLAUSE: 2 | quot(T56, s(0), s(s(0)), T53), SCOPE: 44, CLAUSE: 3\n\nT56 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
169 [label="169: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
170 [label="170: \n\nX184 is free\nX185 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
171 [label="171: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
172 [label="172: quot(T56, s(0), s(s(0)), T53), SCOPE: 44, CLAUSE: 3\n\nT56 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
173 [label="173: ','(no(zero(T57)), ','(no(zero(s(0))), ','(p(T57, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))))\n\nT57 is ground\nX197 is free; \nX198 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
174 [label="174: ','(no(zero(T57)), ','(no(zero(s(0))), ','(p(T57, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))))), SCOPE: 45, CLAUSE: 7 | ','(no(zero(T57)), ','(no(zero(s(0))), ','(p(T57, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))))), SCOPE: 45, CLAUSE: 8 | ?_45\n\nT57 is ground\nX197 is free; \nX198 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
175 [label="175: ','(zero(T60), ','(!_45, ','(failure(a), ','(no(zero(s(0))), ','(p(T60, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))))))) | ','(no(zero(T60)), ','(no(zero(s(0))), ','(p(T60, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))))), SCOPE: 45, CLAUSE: 8 | ?_45\n\nT60 is ground\nX197 is free; \nX198 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
176 [label="176: ','(zero(T60), ','(!_45, ','(failure(a), ','(no(zero(s(0))), ','(p(T60, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))))))), SCOPE: 46, CLAUSE: 6 | ','(no(zero(T60)), ','(no(zero(s(0))), ','(p(T60, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))))), SCOPE: 45, CLAUSE: 8 | ?_45\n\nT60 is ground\nX197 is free; \nX198 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
177 [label="177: ','(!_45, ','(failure(a), ','(no(zero(s(0))), ','(p(0, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))))) | ','(no(zero(0)), ','(no(zero(s(0))), ','(p(0, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))))), SCOPE: 45, CLAUSE: 8 | ?_45\n\nX197 is free\nX198 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
178 [label="178: ','(no(zero(T60)), ','(no(zero(s(0))), ','(p(T60, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))))), SCOPE: 45, CLAUSE: 8\n\nT60 is ground\nX197 is free; \nX198 is free; \nzero(T60) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
179 [label="179: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))))\n\nX197 is free\nX198 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
180 [label="180: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))))), SCOPE: 47, CLAUSE: 9\n\nX197 is free\nX198 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
181 [label="181: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
182 [label="182: ','(no(zero(s(0))), ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))))\n\nT61 is ground\nX197 is free; \nX198 is free; \nzero(T61) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
183 [label="183: ','(no(zero(s(0))), ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))), SCOPE: 48, CLAUSE: 7 | ','(no(zero(s(0))), ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))), SCOPE: 48, CLAUSE: 8 | ?_48\n\nT61 is ground\nX197 is free; \nX198 is free; \nzero(T61) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
184 [label="184: ','(zero(s(0)), ','(!_48, ','(failure(a), ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))))) | ','(no(zero(s(0))), ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))), SCOPE: 48, CLAUSE: 8 | ?_48\n\nT61 is ground\nX197 is free; \nX198 is free; \nzero(T61) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
185 [label="185: ','(zero(s(0)), ','(!_48, ','(failure(a), ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))))), SCOPE: 49, CLAUSE: 6 | ','(no(zero(s(0))), ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))), SCOPE: 48, CLAUSE: 8 | ?_48\n\nT61 is ground\nX197 is free; \nX198 is free; \nzero(T61) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
186 [label="186: ','(no(zero(s(0))), ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))), SCOPE: 48, CLAUSE: 8\n\nT61 is ground\nX197 is free; \nX198 is free; \nzero(T61) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
187 [label="187: ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59)))\n\nT61 is ground\nX197 is free; \nX198 is free; \nzero(T61) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
188 [label="188: ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))), SCOPE: 50, CLAUSE: 4 | ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))), SCOPE: 50, CLAUSE: 5\n\nT61 is ground\nX197 is free; \nX198 is free; \nzero(T61) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
189 [label="189: ','(p(T61, X197), ','(p(s(0), X198), quot(X197, X198, s(s(0)), T59))), SCOPE: 50, CLAUSE: 5\n\nT61 is ground\nX197 is free; \nX198 is free; \nzero(T61) !=? zero(0)\np(T61, X197) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
190 [label="190: ','(p(s(0), X198), quot(T62, X198, s(s(0)), T59))\n\nT62 is ground\nX197 is free; \nX198 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
191 [label="191: \n\nX197 is free\nX208 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
192 [label="192: ','(p(s(0), X198), quot(T62, X198, s(s(0)), T59)), SCOPE: 51, CLAUSE: 4 | ','(p(s(0), X198), quot(T62, X198, s(s(0)), T59)), SCOPE: 51, CLAUSE: 5\n\nT62 is ground\nX198 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
193 [label="193: ','(p(s(0), X198), quot(T62, X198, s(s(0)), T59)), SCOPE: 51, CLAUSE: 5\n\nT62 is ground\nX198 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
194 [label="194: quot(T62, 0, s(s(0)), T59)\n\nT62 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
195 [label="195: quot(T62, 0, s(s(0)), T59), SCOPE: 52, CLAUSE: 1 | quot(T62, 0, s(s(0)), T59), SCOPE: 52, CLAUSE: 2 | quot(T62, 0, s(s(0)), T59), SCOPE: 52, CLAUSE: 3\n\nT62 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
196 [label="196: quot(T62, 0, s(s(0)), T59), SCOPE: 52, CLAUSE: 2 | quot(T62, 0, s(s(0)), T59), SCOPE: 52, CLAUSE: 3\n\nT62 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
197 [label="197: quot(T62, 0, s(s(0)), T59), SCOPE: 52, CLAUSE: 2\n\nT62 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
198 [label="198: quot(T62, 0, s(s(0)), T59), SCOPE: 52, CLAUSE: 3\n\nT62 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
199 [label="199: quot(T63, s(s(0)), s(s(0)), T65)\n\nT63 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
200 [label="200: \n\nX219 is free\nX220 is free; \nX221 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
201 [label="201: ','(no(zero(T66)), ','(no(zero(0)), ','(p(T66, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))))\n\nT66 is ground\nX230 is free; \nX231 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
202 [label="202: ','(no(zero(T66)), ','(no(zero(0)), ','(p(T66, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))), SCOPE: 53, CLAUSE: 7 | ','(no(zero(T66)), ','(no(zero(0)), ','(p(T66, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))), SCOPE: 53, CLAUSE: 8 | ?_53\n\nT66 is ground\nX230 is free; \nX231 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
203 [label="203: ','(zero(T69), ','(!_53, ','(failure(a), ','(no(zero(0)), ','(p(T69, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))))) | ','(no(zero(T69)), ','(no(zero(0)), ','(p(T69, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))), SCOPE: 53, CLAUSE: 8 | ?_53\n\nT69 is ground\nX230 is free; \nX231 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
204 [label="204: ','(zero(T69), ','(!_53, ','(failure(a), ','(no(zero(0)), ','(p(T69, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))))), SCOPE: 54, CLAUSE: 6 | ','(no(zero(T69)), ','(no(zero(0)), ','(p(T69, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))), SCOPE: 53, CLAUSE: 8 | ?_53\n\nT69 is ground\nX230 is free; \nX231 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
205 [label="205: ','(!_53, ','(failure(a), ','(no(zero(0)), ','(p(0, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))))) | ','(no(zero(0)), ','(no(zero(0)), ','(p(0, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))), SCOPE: 53, CLAUSE: 8 | ?_53\n\nX230 is free\nX231 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
206 [label="206: ','(no(zero(T69)), ','(no(zero(0)), ','(p(T69, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))), SCOPE: 53, CLAUSE: 8\n\nT69 is ground\nX230 is free; \nX231 is free; \nzero(T69) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
207 [label="207: ','(failure(a), ','(no(zero(0)), ','(p(0, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))))\n\nX230 is free\nX231 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
208 [label="208: ','(failure(a), ','(no(zero(0)), ','(p(0, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))), SCOPE: 55, CLAUSE: 9\n\nX230 is free\nX231 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
209 [label="209: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
210 [label="210: ','(no(zero(0)), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))\n\nT70 is ground\nX230 is free; \nX231 is free; \nzero(T70) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
211 [label="211: ','(no(zero(0)), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))), SCOPE: 56, CLAUSE: 7 | ','(no(zero(0)), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))), SCOPE: 56, CLAUSE: 8 | ?_56\n\nT70 is ground\nX230 is free; \nX231 is free; \nzero(T70) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
212 [label="212: ','(zero(0), ','(!_56, ','(failure(a), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))))) | ','(no(zero(0)), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))), SCOPE: 56, CLAUSE: 8 | ?_56\n\nT70 is ground\nX230 is free; \nX231 is free; \nzero(T70) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
213 [label="213: ','(zero(0), ','(!_56, ','(failure(a), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))))), SCOPE: 57, CLAUSE: 6 | ','(no(zero(0)), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))), SCOPE: 56, CLAUSE: 8 | ?_56\n\nT70 is ground\nX230 is free; \nX231 is free; \nzero(T70) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
214 [label="214: ','(!_56, ','(failure(a), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))) | ','(no(zero(0)), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))), SCOPE: 56, CLAUSE: 8 | ?_56\n\nT70 is ground\nX230 is free; \nX231 is free; \nzero(T70) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
215 [label="215: ','(failure(a), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68))))\n\nT70 is ground\nX230 is free; \nX231 is free; \nzero(T70) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
216 [label="216: ','(failure(a), ','(p(T70, X230), ','(p(0, X231), quot(X230, X231, s(s(0)), T68)))), SCOPE: 58, CLAUSE: 9\n\nT70 is ground\nX230 is free; \nX231 is free; \nzero(T70) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
217 [label="217: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
218 [label="218: ','(no(zero(T71)), ','(no(zero(T72)), ','(p(T71, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74)))))\n\nT71 is ground\nT72 is ground\nX246 is free; \nX247 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
219 [label="219: ','(no(zero(T71)), ','(no(zero(T72)), ','(p(T71, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74))))), SCOPE: 59, CLAUSE: 7 | ','(no(zero(T71)), ','(no(zero(T72)), ','(p(T71, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74))))), SCOPE: 59, CLAUSE: 8 | ?_59\n\nT71 is ground\nT72 is ground\nX246 is free; \nX247 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
220 [label="220: ','(zero(T75), ','(!_59, ','(failure(a), ','(no(zero(T72)), ','(p(T75, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74))))))) | ','(no(zero(T75)), ','(no(zero(T72)), ','(p(T75, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74))))), SCOPE: 59, CLAUSE: 8 | ?_59\n\nT72 is ground\nT75 is ground\nX246 is free; \nX247 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
221 [label="221: ','(zero(T75), ','(!_59, ','(failure(a), ','(no(zero(T72)), ','(p(T75, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74))))))), SCOPE: 60, CLAUSE: 6 | ','(no(zero(T75)), ','(no(zero(T72)), ','(p(T75, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74))))), SCOPE: 59, CLAUSE: 8 | ?_59\n\nT72 is ground\nT75 is ground\nX246 is free; \nX247 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
222 [label="222: ','(!_59, ','(failure(a), ','(no(zero(T72)), ','(p(0, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74)))))) | ','(no(zero(0)), ','(no(zero(T72)), ','(p(0, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74))))), SCOPE: 59, CLAUSE: 8 | ?_59\n\nT72 is ground\nX246 is free; \nX247 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
223 [label="223: ','(no(zero(T75)), ','(no(zero(T72)), ','(p(T75, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74))))), SCOPE: 59, CLAUSE: 8\n\nT72 is ground\nT75 is ground\nX246 is free; \nX247 is free; \nzero(T75) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
224 [label="224: ','(failure(a), ','(no(zero(T72)), ','(p(0, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74)))))\n\nT72 is ground\nX246 is free; \nX247 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
225 [label="225: ','(failure(a), ','(no(zero(T72)), ','(p(0, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74))))), SCOPE: 61, CLAUSE: 9\n\nT72 is ground\nX246 is free; \nX247 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
226 [label="226: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
227 [label="227: ','(no(zero(T72)), ','(p(T76, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74))))\n\nT72 is ground\nT76 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
228 [label="228: ','(no(zero(T72)), ','(p(T76, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74)))), SCOPE: 62, CLAUSE: 7 | ','(no(zero(T72)), ','(p(T76, X246), ','(p(T72, X247), quot(X246, X247, s(s(T72)), T74)))), SCOPE: 62, CLAUSE: 8 | ?_62\n\nT72 is ground\nT76 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
229 [label="229: ','(zero(T77), ','(!_62, ','(failure(a), ','(p(T76, X246), ','(p(T77, X247), quot(X246, X247, s(s(T77)), T74)))))) | ','(no(zero(T77)), ','(p(T76, X246), ','(p(T77, X247), quot(X246, X247, s(s(T77)), T74)))), SCOPE: 62, CLAUSE: 8 | ?_62\n\nT76 is ground\nT77 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
230 [label="230: ','(zero(T77), ','(!_62, ','(failure(a), ','(p(T76, X246), ','(p(T77, X247), quot(X246, X247, s(s(T77)), T74)))))), SCOPE: 63, CLAUSE: 6 | ','(no(zero(T77)), ','(p(T76, X246), ','(p(T77, X247), quot(X246, X247, s(s(T77)), T74)))), SCOPE: 62, CLAUSE: 8 | ?_62\n\nT76 is ground\nT77 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
231 [label="231: ','(!_62, ','(failure(a), ','(p(T76, X246), ','(p(0, X247), quot(X246, X247, s(s(0)), T74))))) | ','(no(zero(0)), ','(p(T76, X246), ','(p(0, X247), quot(X246, X247, s(s(0)), T74)))), SCOPE: 62, CLAUSE: 8 | ?_62\n\nT76 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
232 [label="232: ','(no(zero(T77)), ','(p(T76, X246), ','(p(T77, X247), quot(X246, X247, s(s(T77)), T74)))), SCOPE: 62, CLAUSE: 8\n\nT76 is ground\nT77 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)\nzero(T77) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
233 [label="233: ','(failure(a), ','(p(T76, X246), ','(p(0, X247), quot(X246, X247, s(s(0)), T74))))\n\nT76 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
234 [label="234: ','(failure(a), ','(p(T76, X246), ','(p(0, X247), quot(X246, X247, s(s(0)), T74)))), SCOPE: 64, CLAUSE: 9\n\nT76 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
235 [label="235: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
236 [label="236: ','(p(T76, X246), ','(p(T78, X247), quot(X246, X247, s(s(T78)), T74)))\n\nT76 is ground\nT78 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)\nzero(T78) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
237 [label="237: ','(p(T76, X246), ','(p(T78, X247), quot(X246, X247, s(s(T78)), T74))), SCOPE: 65, CLAUSE: 4 | ','(p(T76, X246), ','(p(T78, X247), quot(X246, X247, s(s(T78)), T74))), SCOPE: 65, CLAUSE: 5\n\nT76 is ground\nT78 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)\nzero(T78) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
238 [label="238: ','(p(T76, X246), ','(p(T78, X247), quot(X246, X247, s(s(T78)), T74))), SCOPE: 65, CLAUSE: 5\n\nT76 is ground\nT78 is ground\nX246 is free; \nX247 is free; \nzero(T76) !=? zero(0)\nzero(T78) !=? zero(0)\np(T76, X246) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
239 [label="239: ','(p(T78, X247), quot(T79, X247, s(s(T78)), T74))\n\nT78 is ground\nT79 is ground\nX246 is free; \nX247 is free; \nzero(T78) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
240 [label="240: \n\nX246 is free\nX257 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
241 [label="241: ','(p(T78, X247), quot(T79, X247, s(s(T78)), T74)), SCOPE: 66, CLAUSE: 4 | ','(p(T78, X247), quot(T79, X247, s(s(T78)), T74)), SCOPE: 66, CLAUSE: 5\n\nT78 is ground\nT79 is ground\nX247 is free; \nzero(T78) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
242 [label="242: ','(p(T78, X247), quot(T79, X247, s(s(T78)), T74)), SCOPE: 66, CLAUSE: 5\n\nT78 is ground\nT79 is ground\nX247 is free; \nzero(T78) !=? zero(0)\np(T78, X247) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
243 [label="243: quot(T79, T80, s(s(s(T80))), T74)\n\nT79 is ground\nT80 is ground\nX247 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
244 [label="244: \n\nX247 is free\nX259 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
245 [label="245: quot(T79, T80, s(s(s(T80))), T74), SCOPE: 67, CLAUSE: 1 | quot(T79, T80, s(s(s(T80))), T74), SCOPE: 67, CLAUSE: 2 | quot(T79, T80, s(s(s(T80))), T74), SCOPE: 67, CLAUSE: 3\n\nT79 is ground\nT80 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
246 [label="246: quot(T79, T80, s(s(s(T80))), T74), SCOPE: 67, CLAUSE: 1\n\nT79 is ground\nT80 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
247 [label="247: quot(T79, T80, s(s(s(T80))), T74), SCOPE: 67, CLAUSE: 2 | quot(T79, T80, s(s(s(T80))), T74), SCOPE: 67, CLAUSE: 3\n\nT79 is ground\nT80 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
248 [label="248: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
249 [label="249: \n\nX264 is free\nX265 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
250 [label="250: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
251 [label="251: quot(T79, T80, s(s(s(T80))), T74), SCOPE: 67, CLAUSE: 2\n\nT79 is ground\nT80 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
252 [label="252: quot(T79, T80, s(s(s(T80))), T74), SCOPE: 67, CLAUSE: 3\n\nT79 is ground\nT80 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
253 [label="253: quot(T82, s(s(s(0))), s(s(s(0))), T84)\n\nT82 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
254 [label="254: \n\nX272 is free\nX273 is free; \nX274 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
255 [label="255: quot(T82, s(s(s(0))), s(s(s(0))), T84), SCOPE: 68, CLAUSE: 1 | quot(T82, s(s(s(0))), s(s(s(0))), T84), SCOPE: 68, CLAUSE: 2 | quot(T82, s(s(s(0))), s(s(s(0))), T84), SCOPE: 68, CLAUSE: 3\n\nT82 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
256 [label="256: quot(T82, s(s(s(0))), s(s(s(0))), T84), SCOPE: 68, CLAUSE: 1\n\nT82 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
257 [label="257: quot(T82, s(s(s(0))), s(s(s(0))), T84), SCOPE: 68, CLAUSE: 2 | quot(T82, s(s(s(0))), s(s(s(0))), T84), SCOPE: 68, CLAUSE: 3\n\nT82 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
258 [label="258: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
259 [label="259: \n\nX279 is free\nX280 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
260 [label="260: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
261 [label="261: quot(T82, s(s(s(0))), s(s(s(0))), T84), SCOPE: 68, CLAUSE: 3\n\nT82 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
262 [label="262: ','(no(zero(T85)), ','(no(zero(s(s(s(0))))), ','(p(T85, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))))\n\nT85 is ground\nX292 is free; \nX293 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
263 [label="263: ','(no(zero(T85)), ','(no(zero(s(s(s(0))))), ','(p(T85, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))))), SCOPE: 69, CLAUSE: 7 | ','(no(zero(T85)), ','(no(zero(s(s(s(0))))), ','(p(T85, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))))), SCOPE: 69, CLAUSE: 8 | ?_69\n\nT85 is ground\nX292 is free; \nX293 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
264 [label="264: ','(zero(T88), ','(!_69, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(T88, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))))))) | ','(no(zero(T88)), ','(no(zero(s(s(s(0))))), ','(p(T88, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))))), SCOPE: 69, CLAUSE: 8 | ?_69\n\nT88 is ground\nX292 is free; \nX293 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
265 [label="265: ','(zero(T88), ','(!_69, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(T88, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))))))), SCOPE: 70, CLAUSE: 6 | ','(no(zero(T88)), ','(no(zero(s(s(s(0))))), ','(p(T88, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))))), SCOPE: 69, CLAUSE: 8 | ?_69\n\nT88 is ground\nX292 is free; \nX293 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
266 [label="266: ','(!_69, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))))) | ','(no(zero(0)), ','(no(zero(s(s(s(0))))), ','(p(0, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))))), SCOPE: 69, CLAUSE: 8 | ?_69\n\nX292 is free\nX293 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
267 [label="267: ','(no(zero(T88)), ','(no(zero(s(s(s(0))))), ','(p(T88, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))))), SCOPE: 69, CLAUSE: 8\n\nT88 is ground\nX292 is free; \nX293 is free; \nzero(T88) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
268 [label="268: ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))))\n\nX292 is free\nX293 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
269 [label="269: ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))))), SCOPE: 71, CLAUSE: 9\n\nX292 is free\nX293 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
270 [label="270: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
271 [label="271: ','(no(zero(s(s(s(0))))), ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))))\n\nT89 is ground\nX292 is free; \nX293 is free; \nzero(T89) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
272 [label="272: ','(no(zero(s(s(s(0))))), ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))), SCOPE: 72, CLAUSE: 7 | ','(no(zero(s(s(s(0))))), ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))), SCOPE: 72, CLAUSE: 8 | ?_72\n\nT89 is ground\nX292 is free; \nX293 is free; \nzero(T89) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
273 [label="273: ','(zero(s(s(s(0)))), ','(!_72, ','(failure(a), ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))))) | ','(no(zero(s(s(s(0))))), ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))), SCOPE: 72, CLAUSE: 8 | ?_72\n\nT89 is ground\nX292 is free; \nX293 is free; \nzero(T89) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
274 [label="274: ','(zero(s(s(s(0)))), ','(!_72, ','(failure(a), ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))))), SCOPE: 73, CLAUSE: 6 | ','(no(zero(s(s(s(0))))), ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))), SCOPE: 72, CLAUSE: 8 | ?_72\n\nT89 is ground\nX292 is free; \nX293 is free; \nzero(T89) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
275 [label="275: ','(no(zero(s(s(s(0))))), ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))), SCOPE: 72, CLAUSE: 8\n\nT89 is ground\nX292 is free; \nX293 is free; \nzero(T89) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
276 [label="276: ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87)))\n\nT89 is ground\nX292 is free; \nX293 is free; \nzero(T89) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
277 [label="277: ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))), SCOPE: 74, CLAUSE: 4 | ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))), SCOPE: 74, CLAUSE: 5\n\nT89 is ground\nX292 is free; \nX293 is free; \nzero(T89) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
278 [label="278: ','(p(T89, X292), ','(p(s(s(s(0))), X293), quot(X292, X293, s(s(s(0))), T87))), SCOPE: 74, CLAUSE: 5\n\nT89 is ground\nX292 is free; \nX293 is free; \nzero(T89) !=? zero(0)\np(T89, X292) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
279 [label="279: ','(p(s(s(s(0))), X293), quot(T90, X293, s(s(s(0))), T87))\n\nT90 is ground\nX292 is free; \nX293 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
280 [label="280: \n\nX292 is free\nX303 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
281 [label="281: ','(p(s(s(s(0))), X293), quot(T90, X293, s(s(s(0))), T87)), SCOPE: 75, CLAUSE: 4 | ','(p(s(s(s(0))), X293), quot(T90, X293, s(s(s(0))), T87)), SCOPE: 75, CLAUSE: 5\n\nT90 is ground\nX293 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
282 [label="282: ','(p(s(s(s(0))), X293), quot(T90, X293, s(s(s(0))), T87)), SCOPE: 75, CLAUSE: 5\n\nT90 is ground\nX293 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
283 [label="283: quot(T90, s(s(0)), s(s(s(0))), T87)\n\nT90 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
284 [label="284: quot(T90, s(s(0)), s(s(s(0))), T87), SCOPE: 76, CLAUSE: 1 | quot(T90, s(s(0)), s(s(s(0))), T87), SCOPE: 76, CLAUSE: 2 | quot(T90, s(s(0)), s(s(s(0))), T87), SCOPE: 76, CLAUSE: 3\n\nT90 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
285 [label="285: quot(T90, s(s(0)), s(s(s(0))), T87), SCOPE: 76, CLAUSE: 1\n\nT90 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
286 [label="286: quot(T90, s(s(0)), s(s(s(0))), T87), SCOPE: 76, CLAUSE: 2 | quot(T90, s(s(0)), s(s(s(0))), T87), SCOPE: 76, CLAUSE: 3\n\nT90 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
287 [label="287: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
288 [label="288: \n\nX310 is free\nX311 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
289 [label="289: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
290 [label="290: quot(T90, s(s(0)), s(s(s(0))), T87), SCOPE: 76, CLAUSE: 3\n\nT90 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
291 [label="291: ','(no(zero(T91)), ','(no(zero(s(s(0)))), ','(p(T91, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))))\n\nT91 is ground\nX323 is free; \nX324 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
292 [label="292: ','(no(zero(T91)), ','(no(zero(s(s(0)))), ','(p(T91, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))))), SCOPE: 77, CLAUSE: 7 | ','(no(zero(T91)), ','(no(zero(s(s(0)))), ','(p(T91, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))))), SCOPE: 77, CLAUSE: 8 | ?_77\n\nT91 is ground\nX323 is free; \nX324 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
293 [label="293: ','(zero(T94), ','(!_77, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(T94, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))))))) | ','(no(zero(T94)), ','(no(zero(s(s(0)))), ','(p(T94, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))))), SCOPE: 77, CLAUSE: 8 | ?_77\n\nT94 is ground\nX323 is free; \nX324 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
294 [label="294: ','(zero(T94), ','(!_77, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(T94, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))))))), SCOPE: 78, CLAUSE: 6 | ','(no(zero(T94)), ','(no(zero(s(s(0)))), ','(p(T94, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))))), SCOPE: 77, CLAUSE: 8 | ?_77\n\nT94 is ground\nX323 is free; \nX324 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
295 [label="295: ','(!_77, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))))) | ','(no(zero(0)), ','(no(zero(s(s(0)))), ','(p(0, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))))), SCOPE: 77, CLAUSE: 8 | ?_77\n\nX323 is free\nX324 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
296 [label="296: ','(no(zero(T94)), ','(no(zero(s(s(0)))), ','(p(T94, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))))), SCOPE: 77, CLAUSE: 8\n\nT94 is ground\nX323 is free; \nX324 is free; \nzero(T94) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
297 [label="297: ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))))\n\nX323 is free\nX324 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
298 [label="298: ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))))), SCOPE: 79, CLAUSE: 9\n\nX323 is free\nX324 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
299 [label="299: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
300 [label="300: ','(no(zero(s(s(0)))), ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))))\n\nT95 is ground\nX323 is free; \nX324 is free; \nzero(T95) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
301 [label="301: ','(no(zero(s(s(0)))), ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))), SCOPE: 80, CLAUSE: 7 | ','(no(zero(s(s(0)))), ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))), SCOPE: 80, CLAUSE: 8 | ?_80\n\nT95 is ground\nX323 is free; \nX324 is free; \nzero(T95) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
302 [label="302: ','(zero(s(s(0))), ','(!_80, ','(failure(a), ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))))) | ','(no(zero(s(s(0)))), ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))), SCOPE: 80, CLAUSE: 8 | ?_80\n\nT95 is ground\nX323 is free; \nX324 is free; \nzero(T95) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
303 [label="303: ','(zero(s(s(0))), ','(!_80, ','(failure(a), ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))))), SCOPE: 81, CLAUSE: 6 | ','(no(zero(s(s(0)))), ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))), SCOPE: 80, CLAUSE: 8 | ?_80\n\nT95 is ground\nX323 is free; \nX324 is free; \nzero(T95) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
304 [label="304: ','(no(zero(s(s(0)))), ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))), SCOPE: 80, CLAUSE: 8\n\nT95 is ground\nX323 is free; \nX324 is free; \nzero(T95) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
305 [label="305: ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93)))\n\nT95 is ground\nX323 is free; \nX324 is free; \nzero(T95) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
306 [label="306: ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))), SCOPE: 82, CLAUSE: 4 | ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))), SCOPE: 82, CLAUSE: 5\n\nT95 is ground\nX323 is free; \nX324 is free; \nzero(T95) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
307 [label="307: ','(p(T95, X323), ','(p(s(s(0)), X324), quot(X323, X324, s(s(s(0))), T93))), SCOPE: 82, CLAUSE: 5\n\nT95 is ground\nX323 is free; \nX324 is free; \nzero(T95) !=? zero(0)\np(T95, X323) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
308 [label="308: ','(p(s(s(0)), X324), quot(T96, X324, s(s(s(0))), T93))\n\nT96 is ground\nX323 is free; \nX324 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
309 [label="309: \n\nX323 is free\nX334 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
310 [label="310: ','(p(s(s(0)), X324), quot(T96, X324, s(s(s(0))), T93)), SCOPE: 83, CLAUSE: 4 | ','(p(s(s(0)), X324), quot(T96, X324, s(s(s(0))), T93)), SCOPE: 83, CLAUSE: 5\n\nT96 is ground\nX324 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
311 [label="311: ','(p(s(s(0)), X324), quot(T96, X324, s(s(s(0))), T93)), SCOPE: 83, CLAUSE: 5\n\nT96 is ground\nX324 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
312 [label="312: quot(T96, s(0), s(s(s(0))), T93)\n\nT96 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
313 [label="313: quot(T96, s(0), s(s(s(0))), T93), SCOPE: 84, CLAUSE: 1 | quot(T96, s(0), s(s(s(0))), T93), SCOPE: 84, CLAUSE: 2 | quot(T96, s(0), s(s(s(0))), T93), SCOPE: 84, CLAUSE: 3\n\nT96 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
314 [label="314: quot(T96, s(0), s(s(s(0))), T93), SCOPE: 84, CLAUSE: 1\n\nT96 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
315 [label="315: quot(T96, s(0), s(s(s(0))), T93), SCOPE: 84, CLAUSE: 2 | quot(T96, s(0), s(s(s(0))), T93), SCOPE: 84, CLAUSE: 3\n\nT96 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
316 [label="316: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
317 [label="317: \n\nX341 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
318 [label="318: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
319 [label="319: quot(T96, s(0), s(s(s(0))), T93), SCOPE: 84, CLAUSE: 3\n\nT96 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
320 [label="320: ','(no(zero(T97)), ','(no(zero(s(0))), ','(p(T97, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))))\n\nT97 is ground\nX354 is free; \nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
321 [label="321: ','(no(zero(T97)), ','(no(zero(s(0))), ','(p(T97, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))))), SCOPE: 85, CLAUSE: 7 | ','(no(zero(T97)), ','(no(zero(s(0))), ','(p(T97, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))))), SCOPE: 85, CLAUSE: 8 | ?_85\n\nT97 is ground\nX354 is free; \nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
322 [label="322: ','(zero(T100), ','(!_85, ','(failure(a), ','(no(zero(s(0))), ','(p(T100, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))))))) | ','(no(zero(T100)), ','(no(zero(s(0))), ','(p(T100, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))))), SCOPE: 85, CLAUSE: 8 | ?_85\n\nT100 is ground\nX354 is free; \nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
323 [label="323: ','(zero(T100), ','(!_85, ','(failure(a), ','(no(zero(s(0))), ','(p(T100, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))))))), SCOPE: 86, CLAUSE: 6 | ','(no(zero(T100)), ','(no(zero(s(0))), ','(p(T100, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))))), SCOPE: 85, CLAUSE: 8 | ?_85\n\nT100 is ground\nX354 is free; \nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
324 [label="324: ','(!_85, ','(failure(a), ','(no(zero(s(0))), ','(p(0, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))))) | ','(no(zero(0)), ','(no(zero(s(0))), ','(p(0, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))))), SCOPE: 85, CLAUSE: 8 | ?_85\n\nX354 is free\nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
325 [label="325: ','(no(zero(T100)), ','(no(zero(s(0))), ','(p(T100, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))))), SCOPE: 85, CLAUSE: 8\n\nT100 is ground\nX354 is free; \nX355 is free; \nzero(T100) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
326 [label="326: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))))\n\nX354 is free\nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
327 [label="327: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))))), SCOPE: 87, CLAUSE: 9\n\nX354 is free\nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
328 [label="328: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
329 [label="329: ','(no(zero(s(0))), ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))))\n\nT101 is ground\nX354 is free; \nX355 is free; \nzero(T101) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
330 [label="330: ','(no(zero(s(0))), ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))), SCOPE: 88, CLAUSE: 7 | ','(no(zero(s(0))), ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))), SCOPE: 88, CLAUSE: 8 | ?_88\n\nT101 is ground\nX354 is free; \nX355 is free; \nzero(T101) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
331 [label="331: ','(zero(s(0)), ','(!_88, ','(failure(a), ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))))) | ','(no(zero(s(0))), ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))), SCOPE: 88, CLAUSE: 8 | ?_88\n\nT101 is ground\nX354 is free; \nX355 is free; \nzero(T101) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
332 [label="332: ','(zero(s(0)), ','(!_88, ','(failure(a), ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))))), SCOPE: 89, CLAUSE: 6 | ','(no(zero(s(0))), ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))), SCOPE: 88, CLAUSE: 8 | ?_88\n\nT101 is ground\nX354 is free; \nX355 is free; \nzero(T101) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
333 [label="333: ','(no(zero(s(0))), ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))), SCOPE: 88, CLAUSE: 8\n\nT101 is ground\nX354 is free; \nX355 is free; \nzero(T101) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
334 [label="334: ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99)))\n\nT101 is ground\nX354 is free; \nX355 is free; \nzero(T101) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
335 [label="335: ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))), SCOPE: 90, CLAUSE: 4 | ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))), SCOPE: 90, CLAUSE: 5\n\nT101 is ground\nX354 is free; \nX355 is free; \nzero(T101) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
336 [label="336: ','(p(T101, X354), ','(p(s(0), X355), quot(X354, X355, s(s(s(0))), T99))), SCOPE: 90, CLAUSE: 5\n\nT101 is ground\nX354 is free; \nX355 is free; \nzero(T101) !=? zero(0)\np(T101, X354) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
337 [label="337: ','(p(s(0), X355), quot(T102, X355, s(s(s(0))), T99))\n\nT102 is ground\nX354 is free; \nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
338 [label="338: \n\nX354 is free\nX365 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
339 [label="339: ','(p(s(0), X355), quot(T102, X355, s(s(s(0))), T99)), SCOPE: 91, CLAUSE: 4 | ','(p(s(0), X355), quot(T102, X355, s(s(s(0))), T99)), SCOPE: 91, CLAUSE: 5\n\nT102 is ground\nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
340 [label="340: ','(p(s(0), X355), quot(T102, X355, s(s(s(0))), T99)), SCOPE: 91, CLAUSE: 5\n\nT102 is ground\nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
341 [label="341: quot(T102, 0, s(s(s(0))), T99)\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
342 [label="342: quot(T102, 0, s(s(s(0))), T99), SCOPE: 92, CLAUSE: 1 | quot(T102, 0, s(s(s(0))), T99), SCOPE: 92, CLAUSE: 2 | quot(T102, 0, s(s(s(0))), T99), SCOPE: 92, CLAUSE: 3\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
343 [label="343: quot(T102, 0, s(s(s(0))), T99), SCOPE: 92, CLAUSE: 2 | quot(T102, 0, s(s(s(0))), T99), SCOPE: 92, CLAUSE: 3\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
344 [label="344: quot(T102, 0, s(s(s(0))), T99), SCOPE: 92, CLAUSE: 2\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
345 [label="345: quot(T102, 0, s(s(s(0))), T99), SCOPE: 92, CLAUSE: 3\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
346 [label="346: quot(T103, s(s(s(0))), s(s(s(0))), T105)\n\nT103 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
347 [label="347: \n\nX376 is free\nX377 is free; \nX378 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
348 [label="348: ','(no(zero(T106)), ','(no(zero(0)), ','(p(T106, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))))\n\nT106 is ground\nX387 is free; \nX388 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
349 [label="349: ','(no(zero(T106)), ','(no(zero(0)), ','(p(T106, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))), SCOPE: 93, CLAUSE: 7 | ','(no(zero(T106)), ','(no(zero(0)), ','(p(T106, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))), SCOPE: 93, CLAUSE: 8 | ?_93\n\nT106 is ground\nX387 is free; \nX388 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
350 [label="350: ','(zero(T109), ','(!_93, ','(failure(a), ','(no(zero(0)), ','(p(T109, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))))) | ','(no(zero(T109)), ','(no(zero(0)), ','(p(T109, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))), SCOPE: 93, CLAUSE: 8 | ?_93\n\nT109 is ground\nX387 is free; \nX388 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
351 [label="351: ','(zero(T109), ','(!_93, ','(failure(a), ','(no(zero(0)), ','(p(T109, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))))), SCOPE: 94, CLAUSE: 6 | ','(no(zero(T109)), ','(no(zero(0)), ','(p(T109, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))), SCOPE: 93, CLAUSE: 8 | ?_93\n\nT109 is ground\nX387 is free; \nX388 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
352 [label="352: ','(!_93, ','(failure(a), ','(no(zero(0)), ','(p(0, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))))) | ','(no(zero(0)), ','(no(zero(0)), ','(p(0, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))), SCOPE: 93, CLAUSE: 8 | ?_93\n\nX387 is free\nX388 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
353 [label="353: ','(no(zero(T109)), ','(no(zero(0)), ','(p(T109, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))), SCOPE: 93, CLAUSE: 8\n\nT109 is ground\nX387 is free; \nX388 is free; \nzero(T109) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
354 [label="354: ','(failure(a), ','(no(zero(0)), ','(p(0, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))))\n\nX387 is free\nX388 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
355 [label="355: ','(failure(a), ','(no(zero(0)), ','(p(0, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))), SCOPE: 95, CLAUSE: 9\n\nX387 is free\nX388 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
356 [label="356: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
357 [label="357: ','(no(zero(0)), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))\n\nT110 is ground\nX387 is free; \nX388 is free; \nzero(T110) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
358 [label="358: ','(no(zero(0)), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))), SCOPE: 96, CLAUSE: 7 | ','(no(zero(0)), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))), SCOPE: 96, CLAUSE: 8 | ?_96\n\nT110 is ground\nX387 is free; \nX388 is free; \nzero(T110) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
359 [label="359: ','(zero(0), ','(!_96, ','(failure(a), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))))) | ','(no(zero(0)), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))), SCOPE: 96, CLAUSE: 8 | ?_96\n\nT110 is ground\nX387 is free; \nX388 is free; \nzero(T110) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
360 [label="360: ','(zero(0), ','(!_96, ','(failure(a), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))))), SCOPE: 97, CLAUSE: 6 | ','(no(zero(0)), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))), SCOPE: 96, CLAUSE: 8 | ?_96\n\nT110 is ground\nX387 is free; \nX388 is free; \nzero(T110) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
361 [label="361: ','(!_96, ','(failure(a), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))) | ','(no(zero(0)), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))), SCOPE: 96, CLAUSE: 8 | ?_96\n\nT110 is ground\nX387 is free; \nX388 is free; \nzero(T110) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
362 [label="362: ','(failure(a), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108))))\n\nT110 is ground\nX387 is free; \nX388 is free; \nzero(T110) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
363 [label="363: ','(failure(a), ','(p(T110, X387), ','(p(0, X388), quot(X387, X388, s(s(s(0))), T108)))), SCOPE: 98, CLAUSE: 9\n\nT110 is ground\nX387 is free; \nX388 is free; \nzero(T110) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
364 [label="364: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
365 [label="365: ','(no(zero(T111)), ','(no(zero(T112)), ','(p(T111, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114)))))\n\nT111 is ground\nT112 is ground\nX403 is free; \nX404 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
366 [label="366: ','(no(zero(T111)), ','(no(zero(T112)), ','(p(T111, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114))))), SCOPE: 99, CLAUSE: 7 | ','(no(zero(T111)), ','(no(zero(T112)), ','(p(T111, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114))))), SCOPE: 99, CLAUSE: 8 | ?_99\n\nT111 is ground\nT112 is ground\nX403 is free; \nX404 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
367 [label="367: ','(zero(T115), ','(!_99, ','(failure(a), ','(no(zero(T112)), ','(p(T115, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114))))))) | ','(no(zero(T115)), ','(no(zero(T112)), ','(p(T115, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114))))), SCOPE: 99, CLAUSE: 8 | ?_99\n\nT112 is ground\nT115 is ground\nX403 is free; \nX404 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
368 [label="368: ','(zero(T115), ','(!_99, ','(failure(a), ','(no(zero(T112)), ','(p(T115, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114))))))), SCOPE: 100, CLAUSE: 6 | ','(no(zero(T115)), ','(no(zero(T112)), ','(p(T115, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114))))), SCOPE: 99, CLAUSE: 8 | ?_99\n\nT112 is ground\nT115 is ground\nX403 is free; \nX404 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
369 [label="369: ','(!_99, ','(failure(a), ','(no(zero(T112)), ','(p(0, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114)))))) | ','(no(zero(0)), ','(no(zero(T112)), ','(p(0, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114))))), SCOPE: 99, CLAUSE: 8 | ?_99\n\nT112 is ground\nX403 is free; \nX404 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
370 [label="370: ','(no(zero(T115)), ','(no(zero(T112)), ','(p(T115, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114))))), SCOPE: 99, CLAUSE: 8\n\nT112 is ground\nT115 is ground\nX403 is free; \nX404 is free; \nzero(T115) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
371 [label="371: ','(failure(a), ','(no(zero(T112)), ','(p(0, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114)))))\n\nT112 is ground\nX403 is free; \nX404 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
372 [label="372: ','(failure(a), ','(no(zero(T112)), ','(p(0, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114))))), SCOPE: 101, CLAUSE: 9\n\nT112 is ground\nX403 is free; \nX404 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
373 [label="373: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
374 [label="374: ','(no(zero(T112)), ','(p(T116, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114))))\n\nT112 is ground\nT116 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
375 [label="375: ','(no(zero(T112)), ','(p(T116, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114)))), SCOPE: 102, CLAUSE: 7 | ','(no(zero(T112)), ','(p(T116, X403), ','(p(T112, X404), quot(X403, X404, s(s(s(T112))), T114)))), SCOPE: 102, CLAUSE: 8 | ?_102\n\nT112 is ground\nT116 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
376 [label="376: ','(zero(T117), ','(!_102, ','(failure(a), ','(p(T116, X403), ','(p(T117, X404), quot(X403, X404, s(s(s(T117))), T114)))))) | ','(no(zero(T117)), ','(p(T116, X403), ','(p(T117, X404), quot(X403, X404, s(s(s(T117))), T114)))), SCOPE: 102, CLAUSE: 8 | ?_102\n\nT116 is ground\nT117 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
377 [label="377: ','(zero(T117), ','(!_102, ','(failure(a), ','(p(T116, X403), ','(p(T117, X404), quot(X403, X404, s(s(s(T117))), T114)))))), SCOPE: 103, CLAUSE: 6 | ','(no(zero(T117)), ','(p(T116, X403), ','(p(T117, X404), quot(X403, X404, s(s(s(T117))), T114)))), SCOPE: 102, CLAUSE: 8 | ?_102\n\nT116 is ground\nT117 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
378 [label="378: ','(!_102, ','(failure(a), ','(p(T116, X403), ','(p(0, X404), quot(X403, X404, s(s(s(0))), T114))))) | ','(no(zero(0)), ','(p(T116, X403), ','(p(0, X404), quot(X403, X404, s(s(s(0))), T114)))), SCOPE: 102, CLAUSE: 8 | ?_102\n\nT116 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
379 [label="379: ','(no(zero(T117)), ','(p(T116, X403), ','(p(T117, X404), quot(X403, X404, s(s(s(T117))), T114)))), SCOPE: 102, CLAUSE: 8\n\nT116 is ground\nT117 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)\nzero(T117) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
380 [label="380: ','(failure(a), ','(p(T116, X403), ','(p(0, X404), quot(X403, X404, s(s(s(0))), T114))))\n\nT116 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
381 [label="381: ','(failure(a), ','(p(T116, X403), ','(p(0, X404), quot(X403, X404, s(s(s(0))), T114)))), SCOPE: 104, CLAUSE: 9\n\nT116 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
382 [label="382: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
383 [label="383: ','(p(T116, X403), ','(p(T118, X404), quot(X403, X404, s(s(s(T118))), T114)))\n\nT116 is ground\nT118 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)\nzero(T118) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
384 [label="384: ','(p(T116, X403), ','(p(T118, X404), quot(X403, X404, s(s(s(T118))), T114))), SCOPE: 105, CLAUSE: 4 | ','(p(T116, X403), ','(p(T118, X404), quot(X403, X404, s(s(s(T118))), T114))), SCOPE: 105, CLAUSE: 5\n\nT116 is ground\nT118 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)\nzero(T118) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
385 [label="385: ','(p(T116, X403), ','(p(T118, X404), quot(X403, X404, s(s(s(T118))), T114))), SCOPE: 105, CLAUSE: 5\n\nT116 is ground\nT118 is ground\nX403 is free; \nX404 is free; \nzero(T116) !=? zero(0)\nzero(T118) !=? zero(0)\np(T116, X403) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
386 [label="386: ','(p(T118, X404), quot(T119, X404, s(s(s(T118))), T114))\n\nT118 is ground\nT119 is ground\nX403 is free; \nX404 is free; \nzero(T118) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
387 [label="387: \n\nX403 is free\nX414 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
388 [label="388: ','(p(T118, X404), quot(T119, X404, s(s(s(T118))), T114)), SCOPE: 106, CLAUSE: 4 | ','(p(T118, X404), quot(T119, X404, s(s(s(T118))), T114)), SCOPE: 106, CLAUSE: 5\n\nT118 is ground\nT119 is ground\nX404 is free; \nzero(T118) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
389 [label="389: ','(p(T118, X404), quot(T119, X404, s(s(s(T118))), T114)), SCOPE: 106, CLAUSE: 5\n\nT118 is ground\nT119 is ground\nX404 is free; \nzero(T118) !=? zero(0)\np(T118, X404) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
390 [label="390: quot(T119, T120, s(s(s(s(T120)))), T114)\n\nT119 is ground\nT120 is ground\nX404 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
391 [label="391: \n\nX404 is free\nX416 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
392 [label="392: quot(T119, T120, s(s(s(s(T120)))), T114), SCOPE: 107, CLAUSE: 1 | quot(T119, T120, s(s(s(s(T120)))), T114), SCOPE: 107, CLAUSE: 2 | quot(T119, T120, s(s(s(s(T120)))), T114), SCOPE: 107, CLAUSE: 3\n\nT119 is ground\nT120 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
393 [label="393: quot(T119, T120, s(s(s(s(T120)))), T114), SCOPE: 107, CLAUSE: 1\n\nT119 is ground\nT120 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
394 [label="394: quot(T119, T120, s(s(s(s(T120)))), T114), SCOPE: 107, CLAUSE: 2 | quot(T119, T120, s(s(s(s(T120)))), T114), SCOPE: 107, CLAUSE: 3\n\nT119 is ground\nT120 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
395 [label="395: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
396 [label="396: \n\nX421 is free\nX422 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
397 [label="397: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
398 [label="398: quot(T119, T120, s(s(s(s(T120)))), T114), SCOPE: 107, CLAUSE: 2\n\nT119 is ground\nT120 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
399 [label="399: quot(T119, T120, s(s(s(s(T120)))), T114), SCOPE: 107, CLAUSE: 3\n\nT119 is ground\nT120 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
400 [label="400: quot(T122, s(s(s(s(0)))), s(s(s(s(0)))), T124)\n\nT122 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
401 [label="401: \n\nX429 is free\nX430 is free; \nX431 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
402 [label="402: quot(T122, s(s(s(s(0)))), s(s(s(s(0)))), T124), SCOPE: 108, CLAUSE: 1 | quot(T122, s(s(s(s(0)))), s(s(s(s(0)))), T124), SCOPE: 108, CLAUSE: 2 | quot(T122, s(s(s(s(0)))), s(s(s(s(0)))), T124), SCOPE: 108, CLAUSE: 3\n\nT122 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
403 [label="403: quot(T122, s(s(s(s(0)))), s(s(s(s(0)))), T124), SCOPE: 108, CLAUSE: 1\n\nT122 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
404 [label="404: quot(T122, s(s(s(s(0)))), s(s(s(s(0)))), T124), SCOPE: 108, CLAUSE: 2 | quot(T122, s(s(s(s(0)))), s(s(s(s(0)))), T124), SCOPE: 108, CLAUSE: 3\n\nT122 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
405 [label="405: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
406 [label="406: \n\nX436 is free\nX437 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
407 [label="407: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
408 [label="408: quot(T122, s(s(s(s(0)))), s(s(s(s(0)))), T124), SCOPE: 108, CLAUSE: 3\n\nT122 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
409 [label="409: ','(no(zero(T125)), ','(no(zero(s(s(s(s(0)))))), ','(p(T125, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))))\n\nT125 is ground\nX449 is free; \nX450 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
410 [label="410: ','(no(zero(T125)), ','(no(zero(s(s(s(s(0)))))), ','(p(T125, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))))), SCOPE: 109, CLAUSE: 7 | ','(no(zero(T125)), ','(no(zero(s(s(s(s(0)))))), ','(p(T125, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))))), SCOPE: 109, CLAUSE: 8 | ?_109\n\nT125 is ground\nX449 is free; \nX450 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
411 [label="411: ','(zero(T128), ','(!_109, ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(T128, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))))))) | ','(no(zero(T128)), ','(no(zero(s(s(s(s(0)))))), ','(p(T128, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))))), SCOPE: 109, CLAUSE: 8 | ?_109\n\nT128 is ground\nX449 is free; \nX450 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
412 [label="412: ','(zero(T128), ','(!_109, ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(T128, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))))))), SCOPE: 110, CLAUSE: 6 | ','(no(zero(T128)), ','(no(zero(s(s(s(s(0)))))), ','(p(T128, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))))), SCOPE: 109, CLAUSE: 8 | ?_109\n\nT128 is ground\nX449 is free; \nX450 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
413 [label="413: ','(!_109, ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))))) | ','(no(zero(0)), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))))), SCOPE: 109, CLAUSE: 8 | ?_109\n\nX449 is free\nX450 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
414 [label="414: ','(no(zero(T128)), ','(no(zero(s(s(s(s(0)))))), ','(p(T128, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))))), SCOPE: 109, CLAUSE: 8\n\nT128 is ground\nX449 is free; \nX450 is free; \nzero(T128) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
415 [label="415: ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))))\n\nX449 is free\nX450 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
416 [label="416: ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))))), SCOPE: 111, CLAUSE: 9\n\nX449 is free\nX450 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
417 [label="417: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
418 [label="418: ','(no(zero(s(s(s(s(0)))))), ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))))\n\nT129 is ground\nX449 is free; \nX450 is free; \nzero(T129) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
419 [label="419: ','(no(zero(s(s(s(s(0)))))), ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))), SCOPE: 112, CLAUSE: 7 | ','(no(zero(s(s(s(s(0)))))), ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))), SCOPE: 112, CLAUSE: 8 | ?_112\n\nT129 is ground\nX449 is free; \nX450 is free; \nzero(T129) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
420 [label="420: ','(zero(s(s(s(s(0))))), ','(!_112, ','(failure(a), ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))))) | ','(no(zero(s(s(s(s(0)))))), ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))), SCOPE: 112, CLAUSE: 8 | ?_112\n\nT129 is ground\nX449 is free; \nX450 is free; \nzero(T129) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
421 [label="421: ','(zero(s(s(s(s(0))))), ','(!_112, ','(failure(a), ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))))), SCOPE: 113, CLAUSE: 6 | ','(no(zero(s(s(s(s(0)))))), ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))), SCOPE: 112, CLAUSE: 8 | ?_112\n\nT129 is ground\nX449 is free; \nX450 is free; \nzero(T129) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
422 [label="422: ','(no(zero(s(s(s(s(0)))))), ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))), SCOPE: 112, CLAUSE: 8\n\nT129 is ground\nX449 is free; \nX450 is free; \nzero(T129) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
423 [label="423: ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127)))\n\nT129 is ground\nX449 is free; \nX450 is free; \nzero(T129) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
424 [label="424: ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))), SCOPE: 114, CLAUSE: 4 | ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))), SCOPE: 114, CLAUSE: 5\n\nT129 is ground\nX449 is free; \nX450 is free; \nzero(T129) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
425 [label="425: ','(p(T129, X449), ','(p(s(s(s(s(0)))), X450), quot(X449, X450, s(s(s(s(0)))), T127))), SCOPE: 114, CLAUSE: 5\n\nT129 is ground\nX449 is free; \nX450 is free; \nzero(T129) !=? zero(0)\np(T129, X449) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
426 [label="426: ','(p(s(s(s(s(0)))), X450), quot(T130, X450, s(s(s(s(0)))), T127))\n\nT130 is ground\nX449 is free; \nX450 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
427 [label="427: \n\nX449 is free\nX460 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
428 [label="428: ','(p(s(s(s(s(0)))), X450), quot(T130, X450, s(s(s(s(0)))), T127)), SCOPE: 115, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X450), quot(T130, X450, s(s(s(s(0)))), T127)), SCOPE: 115, CLAUSE: 5\n\nT130 is ground\nX450 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
429 [label="429: ','(p(s(s(s(s(0)))), X450), quot(T130, X450, s(s(s(s(0)))), T127)), SCOPE: 115, CLAUSE: 5\n\nT130 is ground\nX450 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
430 [label="430: quot(T130, s(s(s(0))), s(s(s(s(0)))), T127)\n\nT130 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
431 [label="431: quot(T130, s(s(s(0))), s(s(s(s(0)))), T127), SCOPE: 116, CLAUSE: 1 | quot(T130, s(s(s(0))), s(s(s(s(0)))), T127), SCOPE: 116, CLAUSE: 2 | quot(T130, s(s(s(0))), s(s(s(s(0)))), T127), SCOPE: 116, CLAUSE: 3\n\nT130 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
432 [label="432: quot(T130, s(s(s(0))), s(s(s(s(0)))), T127), SCOPE: 116, CLAUSE: 1\n\nT130 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
433 [label="433: quot(T130, s(s(s(0))), s(s(s(s(0)))), T127), SCOPE: 116, CLAUSE: 2 | quot(T130, s(s(s(0))), s(s(s(s(0)))), T127), SCOPE: 116, CLAUSE: 3\n\nT130 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
434 [label="434: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
435 [label="435: \n\nX467 is free\nX468 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
436 [label="436: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
437 [label="437: quot(T130, s(s(s(0))), s(s(s(s(0)))), T127), SCOPE: 116, CLAUSE: 3\n\nT130 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
438 [label="438: ','(no(zero(T131)), ','(no(zero(s(s(s(0))))), ','(p(T131, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))))\n\nT131 is ground\nX480 is free; \nX481 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
439 [label="439: ','(no(zero(T131)), ','(no(zero(s(s(s(0))))), ','(p(T131, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))))), SCOPE: 117, CLAUSE: 7 | ','(no(zero(T131)), ','(no(zero(s(s(s(0))))), ','(p(T131, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))))), SCOPE: 117, CLAUSE: 8 | ?_117\n\nT131 is ground\nX480 is free; \nX481 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
440 [label="440: ','(zero(T134), ','(!_117, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(T134, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))))))) | ','(no(zero(T134)), ','(no(zero(s(s(s(0))))), ','(p(T134, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))))), SCOPE: 117, CLAUSE: 8 | ?_117\n\nT134 is ground\nX480 is free; \nX481 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
441 [label="441: ','(zero(T134), ','(!_117, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(T134, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))))))), SCOPE: 118, CLAUSE: 6 | ','(no(zero(T134)), ','(no(zero(s(s(s(0))))), ','(p(T134, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))))), SCOPE: 117, CLAUSE: 8 | ?_117\n\nT134 is ground\nX480 is free; \nX481 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
442 [label="442: ','(!_117, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))))) | ','(no(zero(0)), ','(no(zero(s(s(s(0))))), ','(p(0, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))))), SCOPE: 117, CLAUSE: 8 | ?_117\n\nX480 is free\nX481 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
443 [label="443: ','(no(zero(T134)), ','(no(zero(s(s(s(0))))), ','(p(T134, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))))), SCOPE: 117, CLAUSE: 8\n\nT134 is ground\nX480 is free; \nX481 is free; \nzero(T134) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
444 [label="444: ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))))\n\nX480 is free\nX481 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
445 [label="445: ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))))), SCOPE: 119, CLAUSE: 9\n\nX480 is free\nX481 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
446 [label="446: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
447 [label="447: ','(no(zero(s(s(s(0))))), ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))))\n\nT135 is ground\nX480 is free; \nX481 is free; \nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
448 [label="448: ','(no(zero(s(s(s(0))))), ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))), SCOPE: 120, CLAUSE: 7 | ','(no(zero(s(s(s(0))))), ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))), SCOPE: 120, CLAUSE: 8 | ?_120\n\nT135 is ground\nX480 is free; \nX481 is free; \nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
449 [label="449: ','(zero(s(s(s(0)))), ','(!_120, ','(failure(a), ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))))) | ','(no(zero(s(s(s(0))))), ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))), SCOPE: 120, CLAUSE: 8 | ?_120\n\nT135 is ground\nX480 is free; \nX481 is free; \nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
450 [label="450: ','(zero(s(s(s(0)))), ','(!_120, ','(failure(a), ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))))), SCOPE: 121, CLAUSE: 6 | ','(no(zero(s(s(s(0))))), ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))), SCOPE: 120, CLAUSE: 8 | ?_120\n\nT135 is ground\nX480 is free; \nX481 is free; \nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
451 [label="451: ','(no(zero(s(s(s(0))))), ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))), SCOPE: 120, CLAUSE: 8\n\nT135 is ground\nX480 is free; \nX481 is free; \nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
452 [label="452: ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133)))\n\nT135 is ground\nX480 is free; \nX481 is free; \nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
453 [label="453: ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))), SCOPE: 122, CLAUSE: 4 | ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))), SCOPE: 122, CLAUSE: 5\n\nT135 is ground\nX480 is free; \nX481 is free; \nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
454 [label="454: ','(p(T135, X480), ','(p(s(s(s(0))), X481), quot(X480, X481, s(s(s(s(0)))), T133))), SCOPE: 122, CLAUSE: 5\n\nT135 is ground\nX480 is free; \nX481 is free; \nzero(T135) !=? zero(0)\np(T135, X480) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
455 [label="455: ','(p(s(s(s(0))), X481), quot(T136, X481, s(s(s(s(0)))), T133))\n\nT136 is ground\nX480 is free; \nX481 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
456 [label="456: \n\nX480 is free\nX491 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
457 [label="457: ','(p(s(s(s(0))), X481), quot(T136, X481, s(s(s(s(0)))), T133)), SCOPE: 123, CLAUSE: 4 | ','(p(s(s(s(0))), X481), quot(T136, X481, s(s(s(s(0)))), T133)), SCOPE: 123, CLAUSE: 5\n\nT136 is ground\nX481 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
458 [label="458: ','(p(s(s(s(0))), X481), quot(T136, X481, s(s(s(s(0)))), T133)), SCOPE: 123, CLAUSE: 5\n\nT136 is ground\nX481 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
459 [label="459: quot(T136, s(s(0)), s(s(s(s(0)))), T133)\n\nT136 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
460 [label="460: quot(T136, s(s(0)), s(s(s(s(0)))), T133), SCOPE: 124, CLAUSE: 1 | quot(T136, s(s(0)), s(s(s(s(0)))), T133), SCOPE: 124, CLAUSE: 2 | quot(T136, s(s(0)), s(s(s(s(0)))), T133), SCOPE: 124, CLAUSE: 3\n\nT136 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
461 [label="461: quot(T136, s(s(0)), s(s(s(s(0)))), T133), SCOPE: 124, CLAUSE: 1\n\nT136 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
462 [label="462: quot(T136, s(s(0)), s(s(s(s(0)))), T133), SCOPE: 124, CLAUSE: 2 | quot(T136, s(s(0)), s(s(s(s(0)))), T133), SCOPE: 124, CLAUSE: 3\n\nT136 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
463 [label="463: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
464 [label="464: \n\nX498 is free\nX499 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
465 [label="465: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
466 [label="466: quot(T136, s(s(0)), s(s(s(s(0)))), T133), SCOPE: 124, CLAUSE: 3\n\nT136 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
467 [label="467: ','(no(zero(T137)), ','(no(zero(s(s(0)))), ','(p(T137, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))))\n\nT137 is ground\nX511 is free; \nX512 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
468 [label="468: ','(no(zero(T137)), ','(no(zero(s(s(0)))), ','(p(T137, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))))), SCOPE: 125, CLAUSE: 7 | ','(no(zero(T137)), ','(no(zero(s(s(0)))), ','(p(T137, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))))), SCOPE: 125, CLAUSE: 8 | ?_125\n\nT137 is ground\nX511 is free; \nX512 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
469 [label="469: ','(zero(T140), ','(!_125, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(T140, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))))))) | ','(no(zero(T140)), ','(no(zero(s(s(0)))), ','(p(T140, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))))), SCOPE: 125, CLAUSE: 8 | ?_125\n\nT140 is ground\nX511 is free; \nX512 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
470 [label="470: ','(zero(T140), ','(!_125, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(T140, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))))))), SCOPE: 126, CLAUSE: 6 | ','(no(zero(T140)), ','(no(zero(s(s(0)))), ','(p(T140, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))))), SCOPE: 125, CLAUSE: 8 | ?_125\n\nT140 is ground\nX511 is free; \nX512 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
471 [label="471: ','(!_125, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))))) | ','(no(zero(0)), ','(no(zero(s(s(0)))), ','(p(0, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))))), SCOPE: 125, CLAUSE: 8 | ?_125\n\nX511 is free\nX512 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
472 [label="472: ','(no(zero(T140)), ','(no(zero(s(s(0)))), ','(p(T140, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))))), SCOPE: 125, CLAUSE: 8\n\nT140 is ground\nX511 is free; \nX512 is free; \nzero(T140) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
473 [label="473: ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))))\n\nX511 is free\nX512 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
474 [label="474: ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))))), SCOPE: 127, CLAUSE: 9\n\nX511 is free\nX512 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
475 [label="475: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
476 [label="476: ','(no(zero(s(s(0)))), ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))))\n\nT141 is ground\nX511 is free; \nX512 is free; \nzero(T141) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
477 [label="477: ','(no(zero(s(s(0)))), ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))), SCOPE: 128, CLAUSE: 7 | ','(no(zero(s(s(0)))), ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))), SCOPE: 128, CLAUSE: 8 | ?_128\n\nT141 is ground\nX511 is free; \nX512 is free; \nzero(T141) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
478 [label="478: ','(zero(s(s(0))), ','(!_128, ','(failure(a), ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))))) | ','(no(zero(s(s(0)))), ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))), SCOPE: 128, CLAUSE: 8 | ?_128\n\nT141 is ground\nX511 is free; \nX512 is free; \nzero(T141) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
479 [label="479: ','(zero(s(s(0))), ','(!_128, ','(failure(a), ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))))), SCOPE: 129, CLAUSE: 6 | ','(no(zero(s(s(0)))), ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))), SCOPE: 128, CLAUSE: 8 | ?_128\n\nT141 is ground\nX511 is free; \nX512 is free; \nzero(T141) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
480 [label="480: ','(no(zero(s(s(0)))), ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))), SCOPE: 128, CLAUSE: 8\n\nT141 is ground\nX511 is free; \nX512 is free; \nzero(T141) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
481 [label="481: ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139)))\n\nT141 is ground\nX511 is free; \nX512 is free; \nzero(T141) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
482 [label="482: ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))), SCOPE: 130, CLAUSE: 4 | ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))), SCOPE: 130, CLAUSE: 5\n\nT141 is ground\nX511 is free; \nX512 is free; \nzero(T141) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
483 [label="483: ','(p(T141, X511), ','(p(s(s(0)), X512), quot(X511, X512, s(s(s(s(0)))), T139))), SCOPE: 130, CLAUSE: 5\n\nT141 is ground\nX511 is free; \nX512 is free; \nzero(T141) !=? zero(0)\np(T141, X511) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
484 [label="484: ','(p(s(s(0)), X512), quot(T142, X512, s(s(s(s(0)))), T139))\n\nT142 is ground\nX511 is free; \nX512 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
485 [label="485: \n\nX511 is free\nX522 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
486 [label="486: ','(p(s(s(0)), X512), quot(T142, X512, s(s(s(s(0)))), T139)), SCOPE: 131, CLAUSE: 4 | ','(p(s(s(0)), X512), quot(T142, X512, s(s(s(s(0)))), T139)), SCOPE: 131, CLAUSE: 5\n\nT142 is ground\nX512 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
487 [label="487: ','(p(s(s(0)), X512), quot(T142, X512, s(s(s(s(0)))), T139)), SCOPE: 131, CLAUSE: 5\n\nT142 is ground\nX512 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
488 [label="488: quot(T142, s(0), s(s(s(s(0)))), T139)\n\nT142 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
489 [label="489: quot(T142, s(0), s(s(s(s(0)))), T139), SCOPE: 132, CLAUSE: 1 | quot(T142, s(0), s(s(s(s(0)))), T139), SCOPE: 132, CLAUSE: 2 | quot(T142, s(0), s(s(s(s(0)))), T139), SCOPE: 132, CLAUSE: 3\n\nT142 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
490 [label="490: quot(T142, s(0), s(s(s(s(0)))), T139), SCOPE: 132, CLAUSE: 1\n\nT142 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
491 [label="491: quot(T142, s(0), s(s(s(s(0)))), T139), SCOPE: 132, CLAUSE: 2 | quot(T142, s(0), s(s(s(s(0)))), T139), SCOPE: 132, CLAUSE: 3\n\nT142 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
492 [label="492: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
493 [label="493: \n\nX529 is free\nX530 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
494 [label="494: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
495 [label="495: quot(T142, s(0), s(s(s(s(0)))), T139), SCOPE: 132, CLAUSE: 3\n\nT142 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
496 [label="496: ','(no(zero(T143)), ','(no(zero(s(0))), ','(p(T143, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))))\n\nT143 is ground\nX542 is free; \nX543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
497 [label="497: ','(no(zero(T143)), ','(no(zero(s(0))), ','(p(T143, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))))), SCOPE: 133, CLAUSE: 7 | ','(no(zero(T143)), ','(no(zero(s(0))), ','(p(T143, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))))), SCOPE: 133, CLAUSE: 8 | ?_133\n\nT143 is ground\nX542 is free; \nX543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
498 [label="498: ','(zero(T146), ','(!_133, ','(failure(a), ','(no(zero(s(0))), ','(p(T146, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))))))) | ','(no(zero(T146)), ','(no(zero(s(0))), ','(p(T146, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))))), SCOPE: 133, CLAUSE: 8 | ?_133\n\nT146 is ground\nX542 is free; \nX543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
499 [label="499: ','(zero(T146), ','(!_133, ','(failure(a), ','(no(zero(s(0))), ','(p(T146, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))))))), SCOPE: 134, CLAUSE: 6 | ','(no(zero(T146)), ','(no(zero(s(0))), ','(p(T146, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))))), SCOPE: 133, CLAUSE: 8 | ?_133\n\nT146 is ground\nX542 is free; \nX543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
500 [label="500: ','(!_133, ','(failure(a), ','(no(zero(s(0))), ','(p(0, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))))) | ','(no(zero(0)), ','(no(zero(s(0))), ','(p(0, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))))), SCOPE: 133, CLAUSE: 8 | ?_133\n\nX542 is free\nX543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
501 [label="501: ','(no(zero(T146)), ','(no(zero(s(0))), ','(p(T146, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))))), SCOPE: 133, CLAUSE: 8\n\nT146 is ground\nX542 is free; \nX543 is free; \nzero(T146) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
502 [label="502: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))))\n\nX542 is free\nX543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
503 [label="503: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))))), SCOPE: 135, CLAUSE: 9\n\nX542 is free\nX543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
504 [label="504: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
505 [label="505: ','(no(zero(s(0))), ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))))\n\nT147 is ground\nX542 is free; \nX543 is free; \nzero(T147) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
506 [label="506: ','(no(zero(s(0))), ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))), SCOPE: 136, CLAUSE: 7 | ','(no(zero(s(0))), ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))), SCOPE: 136, CLAUSE: 8 | ?_136\n\nT147 is ground\nX542 is free; \nX543 is free; \nzero(T147) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
507 [label="507: ','(zero(s(0)), ','(!_136, ','(failure(a), ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))))) | ','(no(zero(s(0))), ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))), SCOPE: 136, CLAUSE: 8 | ?_136\n\nT147 is ground\nX542 is free; \nX543 is free; \nzero(T147) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
508 [label="508: ','(zero(s(0)), ','(!_136, ','(failure(a), ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))))), SCOPE: 137, CLAUSE: 6 | ','(no(zero(s(0))), ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))), SCOPE: 136, CLAUSE: 8 | ?_136\n\nT147 is ground\nX542 is free; \nX543 is free; \nzero(T147) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
509 [label="509: ','(no(zero(s(0))), ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))), SCOPE: 136, CLAUSE: 8\n\nT147 is ground\nX542 is free; \nX543 is free; \nzero(T147) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
510 [label="510: ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145)))\n\nT147 is ground\nX542 is free; \nX543 is free; \nzero(T147) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
511 [label="511: ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))), SCOPE: 138, CLAUSE: 4 | ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))), SCOPE: 138, CLAUSE: 5\n\nT147 is ground\nX542 is free; \nX543 is free; \nzero(T147) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
512 [label="512: ','(p(T147, X542), ','(p(s(0), X543), quot(X542, X543, s(s(s(s(0)))), T145))), SCOPE: 138, CLAUSE: 5\n\nT147 is ground\nX542 is free; \nX543 is free; \nzero(T147) !=? zero(0)\np(T147, X542) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
513 [label="513: ','(p(s(0), X543), quot(T148, X543, s(s(s(s(0)))), T145))\n\nT148 is ground\nX542 is free; \nX543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
514 [label="514: \n\nX542 is free\nX553 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
515 [label="515: ','(p(s(0), X543), quot(T148, X543, s(s(s(s(0)))), T145)), SCOPE: 139, CLAUSE: 4 | ','(p(s(0), X543), quot(T148, X543, s(s(s(s(0)))), T145)), SCOPE: 139, CLAUSE: 5\n\nT148 is ground\nX543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
516 [label="516: ','(p(s(0), X543), quot(T148, X543, s(s(s(s(0)))), T145)), SCOPE: 139, CLAUSE: 5\n\nT148 is ground\nX543 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
517 [label="517: quot(T148, 0, s(s(s(s(0)))), T145)\n\nT148 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
518 [label="518: quot(T148, 0, s(s(s(s(0)))), T145), SCOPE: 140, CLAUSE: 1 | quot(T148, 0, s(s(s(s(0)))), T145), SCOPE: 140, CLAUSE: 2 | quot(T148, 0, s(s(s(s(0)))), T145), SCOPE: 140, CLAUSE: 3\n\nT148 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
519 [label="519: quot(T148, 0, s(s(s(s(0)))), T145), SCOPE: 140, CLAUSE: 2 | quot(T148, 0, s(s(s(s(0)))), T145), SCOPE: 140, CLAUSE: 3\n\nT148 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
520 [label="520: quot(T148, 0, s(s(s(s(0)))), T145), SCOPE: 140, CLAUSE: 2\n\nT148 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
521 [label="521: quot(T148, 0, s(s(s(s(0)))), T145), SCOPE: 140, CLAUSE: 3\n\nT148 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
522 [label="522: quot(T149, s(s(s(s(0)))), s(s(s(s(0)))), T151)\n\nT149 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
523 [label="523: \n\nX564 is free\nX565 is free; \nX566 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
524 [label="524: ','(no(zero(T152)), ','(no(zero(0)), ','(p(T152, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))))\n\nT152 is ground\nX575 is free; \nX576 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
525 [label="525: ','(no(zero(T152)), ','(no(zero(0)), ','(p(T152, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))), SCOPE: 141, CLAUSE: 7 | ','(no(zero(T152)), ','(no(zero(0)), ','(p(T152, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))), SCOPE: 141, CLAUSE: 8 | ?_141\n\nT152 is ground\nX575 is free; \nX576 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
526 [label="526: ','(zero(T155), ','(!_141, ','(failure(a), ','(no(zero(0)), ','(p(T155, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))))) | ','(no(zero(T155)), ','(no(zero(0)), ','(p(T155, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))), SCOPE: 141, CLAUSE: 8 | ?_141\n\nT155 is ground\nX575 is free; \nX576 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
527 [label="527: ','(zero(T155), ','(!_141, ','(failure(a), ','(no(zero(0)), ','(p(T155, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))))), SCOPE: 142, CLAUSE: 6 | ','(no(zero(T155)), ','(no(zero(0)), ','(p(T155, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))), SCOPE: 141, CLAUSE: 8 | ?_141\n\nT155 is ground\nX575 is free; \nX576 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
528 [label="528: ','(!_141, ','(failure(a), ','(no(zero(0)), ','(p(0, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))))) | ','(no(zero(0)), ','(no(zero(0)), ','(p(0, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))), SCOPE: 141, CLAUSE: 8 | ?_141\n\nX575 is free\nX576 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
529 [label="529: ','(no(zero(T155)), ','(no(zero(0)), ','(p(T155, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))), SCOPE: 141, CLAUSE: 8\n\nT155 is ground\nX575 is free; \nX576 is free; \nzero(T155) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
530 [label="530: ','(failure(a), ','(no(zero(0)), ','(p(0, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))))\n\nX575 is free\nX576 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
531 [label="531: ','(failure(a), ','(no(zero(0)), ','(p(0, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))), SCOPE: 143, CLAUSE: 9\n\nX575 is free\nX576 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
532 [label="532: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
533 [label="533: ','(no(zero(0)), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))\n\nT156 is ground\nX575 is free; \nX576 is free; \nzero(T156) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
534 [label="534: ','(no(zero(0)), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))), SCOPE: 144, CLAUSE: 7 | ','(no(zero(0)), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))), SCOPE: 144, CLAUSE: 8 | ?_144\n\nT156 is ground\nX575 is free; \nX576 is free; \nzero(T156) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
535 [label="535: ','(zero(0), ','(!_144, ','(failure(a), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))))) | ','(no(zero(0)), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))), SCOPE: 144, CLAUSE: 8 | ?_144\n\nT156 is ground\nX575 is free; \nX576 is free; \nzero(T156) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
536 [label="536: ','(zero(0), ','(!_144, ','(failure(a), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))))), SCOPE: 145, CLAUSE: 6 | ','(no(zero(0)), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))), SCOPE: 144, CLAUSE: 8 | ?_144\n\nT156 is ground\nX575 is free; \nX576 is free; \nzero(T156) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
537 [label="537: ','(!_144, ','(failure(a), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))) | ','(no(zero(0)), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))), SCOPE: 144, CLAUSE: 8 | ?_144\n\nT156 is ground\nX575 is free; \nX576 is free; \nzero(T156) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
538 [label="538: ','(failure(a), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154))))\n\nT156 is ground\nX575 is free; \nX576 is free; \nzero(T156) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
539 [label="539: ','(failure(a), ','(p(T156, X575), ','(p(0, X576), quot(X575, X576, s(s(s(s(0)))), T154)))), SCOPE: 146, CLAUSE: 9\n\nT156 is ground\nX575 is free; \nX576 is free; \nzero(T156) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
540 [label="540: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
541 [label="541: ','(no(zero(T157)), ','(no(zero(T158)), ','(p(T157, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160)))))\n\nT157 is ground\nT158 is ground\nX591 is free; \nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
542 [label="542: ','(no(zero(T157)), ','(no(zero(T158)), ','(p(T157, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160))))), SCOPE: 147, CLAUSE: 7 | ','(no(zero(T157)), ','(no(zero(T158)), ','(p(T157, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160))))), SCOPE: 147, CLAUSE: 8 | ?_147\n\nT157 is ground\nT158 is ground\nX591 is free; \nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
543 [label="543: ','(zero(T161), ','(!_147, ','(failure(a), ','(no(zero(T158)), ','(p(T161, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160))))))) | ','(no(zero(T161)), ','(no(zero(T158)), ','(p(T161, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160))))), SCOPE: 147, CLAUSE: 8 | ?_147\n\nT158 is ground\nT161 is ground\nX591 is free; \nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
544 [label="544: ','(zero(T161), ','(!_147, ','(failure(a), ','(no(zero(T158)), ','(p(T161, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160))))))), SCOPE: 148, CLAUSE: 6 | ','(no(zero(T161)), ','(no(zero(T158)), ','(p(T161, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160))))), SCOPE: 147, CLAUSE: 8 | ?_147\n\nT158 is ground\nT161 is ground\nX591 is free; \nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
545 [label="545: ','(!_147, ','(failure(a), ','(no(zero(T158)), ','(p(0, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160)))))) | ','(no(zero(0)), ','(no(zero(T158)), ','(p(0, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160))))), SCOPE: 147, CLAUSE: 8 | ?_147\n\nT158 is ground\nX591 is free; \nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
546 [label="546: ','(no(zero(T161)), ','(no(zero(T158)), ','(p(T161, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160))))), SCOPE: 147, CLAUSE: 8\n\nT158 is ground\nT161 is ground\nX591 is free; \nX592 is free; \nzero(T161) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
547 [label="547: ','(failure(a), ','(no(zero(T158)), ','(p(0, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160)))))\n\nT158 is ground\nX591 is free; \nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
548 [label="548: ','(failure(a), ','(no(zero(T158)), ','(p(0, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160))))), SCOPE: 149, CLAUSE: 9\n\nT158 is ground\nX591 is free; \nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
549 [label="549: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
550 [label="550: ','(no(zero(T158)), ','(p(T162, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160))))\n\nT158 is ground\nT162 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
551 [label="551: ','(no(zero(T158)), ','(p(T162, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160)))), SCOPE: 150, CLAUSE: 7 | ','(no(zero(T158)), ','(p(T162, X591), ','(p(T158, X592), quot(X591, X592, s(s(s(s(T158)))), T160)))), SCOPE: 150, CLAUSE: 8 | ?_150\n\nT158 is ground\nT162 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
552 [label="552: ','(zero(T163), ','(!_150, ','(failure(a), ','(p(T162, X591), ','(p(T163, X592), quot(X591, X592, s(s(s(s(T163)))), T160)))))) | ','(no(zero(T163)), ','(p(T162, X591), ','(p(T163, X592), quot(X591, X592, s(s(s(s(T163)))), T160)))), SCOPE: 150, CLAUSE: 8 | ?_150\n\nT162 is ground\nT163 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
553 [label="553: ','(zero(T163), ','(!_150, ','(failure(a), ','(p(T162, X591), ','(p(T163, X592), quot(X591, X592, s(s(s(s(T163)))), T160)))))), SCOPE: 151, CLAUSE: 6 | ','(no(zero(T163)), ','(p(T162, X591), ','(p(T163, X592), quot(X591, X592, s(s(s(s(T163)))), T160)))), SCOPE: 150, CLAUSE: 8 | ?_150\n\nT162 is ground\nT163 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
554 [label="554: ','(!_150, ','(failure(a), ','(p(T162, X591), ','(p(0, X592), quot(X591, X592, s(s(s(s(0)))), T160))))) | ','(no(zero(0)), ','(p(T162, X591), ','(p(0, X592), quot(X591, X592, s(s(s(s(0)))), T160)))), SCOPE: 150, CLAUSE: 8 | ?_150\n\nT162 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
555 [label="555: ','(no(zero(T163)), ','(p(T162, X591), ','(p(T163, X592), quot(X591, X592, s(s(s(s(T163)))), T160)))), SCOPE: 150, CLAUSE: 8\n\nT162 is ground\nT163 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)\nzero(T163) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
556 [label="556: ','(failure(a), ','(p(T162, X591), ','(p(0, X592), quot(X591, X592, s(s(s(s(0)))), T160))))\n\nT162 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
557 [label="557: ','(failure(a), ','(p(T162, X591), ','(p(0, X592), quot(X591, X592, s(s(s(s(0)))), T160)))), SCOPE: 152, CLAUSE: 9\n\nT162 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
558 [label="558: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
559 [label="559: ','(p(T162, X591), ','(p(T164, X592), quot(X591, X592, s(s(s(s(T164)))), T160)))\n\nT162 is ground\nT164 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)\nzero(T164) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
560 [label="560: ','(p(T162, X591), ','(p(T164, X592), quot(X591, X592, s(s(s(s(T164)))), T160))), SCOPE: 153, CLAUSE: 4 | ','(p(T162, X591), ','(p(T164, X592), quot(X591, X592, s(s(s(s(T164)))), T160))), SCOPE: 153, CLAUSE: 5\n\nT162 is ground\nT164 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)\nzero(T164) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
561 [label="561: ','(p(T162, X591), ','(p(T164, X592), quot(X591, X592, s(s(s(s(T164)))), T160))), SCOPE: 153, CLAUSE: 5\n\nT162 is ground\nT164 is ground\nX591 is free; \nX592 is free; \nzero(T162) !=? zero(0)\nzero(T164) !=? zero(0)\np(T162, X591) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
562 [label="562: ','(p(T164, X592), quot(T165, X592, s(s(s(s(T164)))), T160))\n\nT164 is ground\nT165 is ground\nX591 is free; \nX592 is free; \nzero(T164) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
563 [label="563: \n\nX591 is free\nX602 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
564 [label="564: ','(p(T164, X592), quot(T165, X592, s(s(s(s(T164)))), T160)), SCOPE: 154, CLAUSE: 4 | ','(p(T164, X592), quot(T165, X592, s(s(s(s(T164)))), T160)), SCOPE: 154, CLAUSE: 5\n\nT164 is ground\nT165 is ground\nX592 is free; \nzero(T164) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
565 [label="565: ','(p(T164, X592), quot(T165, X592, s(s(s(s(T164)))), T160)), SCOPE: 154, CLAUSE: 5\n\nT164 is ground\nT165 is ground\nX592 is free; \nzero(T164) !=? zero(0)\np(T164, X592) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
566 [label="566: quot(T165, T166, s(s(s(s(s(T166))))), T160)\n\nT165 is ground\nT166 is ground\nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
567 [label="567: \n\nX592 is free\nX604 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
568 [label="568: quot(T165, T166, s(s(s(s(s(T166))))), T160), SCOPE: 155, CLAUSE: 1 | quot(T165, T166, s(s(s(s(s(T166))))), T160), SCOPE: 155, CLAUSE: 2 | quot(T165, T166, s(s(s(s(s(T166))))), T160), SCOPE: 155, CLAUSE: 3\n\nT165 is ground\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
569 [label="569: quot(T165, T166, s(s(s(s(s(T166))))), T160), SCOPE: 155, CLAUSE: 1\n\nT165 is ground\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
570 [label="570: quot(T165, T166, s(s(s(s(s(T166))))), T160), SCOPE: 155, CLAUSE: 2 | quot(T165, T166, s(s(s(s(s(T166))))), T160), SCOPE: 155, CLAUSE: 3\n\nT165 is ground\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
571 [label="571: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
572 [label="572: \n\nX609 is free\nX610 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
573 [label="573: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
574 [label="574: quot(T165, T166, s(s(s(s(s(T166))))), T160), SCOPE: 155, CLAUSE: 2\n\nT165 is ground\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
575 [label="575: quot(T165, T166, s(s(s(s(s(T166))))), T160), SCOPE: 155, CLAUSE: 3\n\nT165 is ground\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
576 [label="576: quot(T168, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T170)\n\nT168 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
577 [label="577: \n\nX617 is free\nX618 is free; \nX619 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
578 [label="578: quot(T168, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T170), SCOPE: 156, CLAUSE: 1 | quot(T168, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T170), SCOPE: 156, CLAUSE: 2 | quot(T168, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T170), SCOPE: 156, CLAUSE: 3\n\nT168 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
579 [label="579: quot(T168, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T170), SCOPE: 156, CLAUSE: 1\n\nT168 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
580 [label="580: quot(T168, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T170), SCOPE: 156, CLAUSE: 2 | quot(T168, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T170), SCOPE: 156, CLAUSE: 3\n\nT168 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
581 [label="581: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
582 [label="582: \n\nX624 is free\nX625 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
583 [label="583: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
584 [label="584: quot(T168, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T170), SCOPE: 156, CLAUSE: 3\n\nT168 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
585 [label="585: ','(no(zero(T171)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T171, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))))\n\nT171 is ground\nX637 is free; \nX638 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
586 [label="586: ','(no(zero(T171)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T171, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))))), SCOPE: 157, CLAUSE: 7 | ','(no(zero(T171)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T171, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))))), SCOPE: 157, CLAUSE: 8 | ?_157\n\nT171 is ground\nX637 is free; \nX638 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
587 [label="587: ','(zero(T174), ','(!_157, ','(failure(a), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T174, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))))))) | ','(no(zero(T174)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T174, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))))), SCOPE: 157, CLAUSE: 8 | ?_157\n\nT174 is ground\nX637 is free; \nX638 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
588 [label="588: ','(zero(T174), ','(!_157, ','(failure(a), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T174, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))))))), SCOPE: 158, CLAUSE: 6 | ','(no(zero(T174)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T174, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))))), SCOPE: 157, CLAUSE: 8 | ?_157\n\nT174 is ground\nX637 is free; \nX638 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
589 [label="589: ','(!_157, ','(failure(a), ','(no(zero(s(s(s(s(s(0))))))), ','(p(0, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))))) | ','(no(zero(0)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(0, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))))), SCOPE: 157, CLAUSE: 8 | ?_157\n\nX637 is free\nX638 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
590 [label="590: ','(no(zero(T174)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T174, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))))), SCOPE: 157, CLAUSE: 8\n\nT174 is ground\nX637 is free; \nX638 is free; \nzero(T174) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
591 [label="591: ','(failure(a), ','(no(zero(s(s(s(s(s(0))))))), ','(p(0, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))))\n\nX637 is free\nX638 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
592 [label="592: ','(failure(a), ','(no(zero(s(s(s(s(s(0))))))), ','(p(0, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))))), SCOPE: 159, CLAUSE: 9\n\nX637 is free\nX638 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
593 [label="593: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
594 [label="594: ','(no(zero(s(s(s(s(s(0))))))), ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))))\n\nT175 is ground\nX637 is free; \nX638 is free; \nzero(T175) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
595 [label="595: ','(no(zero(s(s(s(s(s(0))))))), ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))), SCOPE: 160, CLAUSE: 7 | ','(no(zero(s(s(s(s(s(0))))))), ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))), SCOPE: 160, CLAUSE: 8 | ?_160\n\nT175 is ground\nX637 is free; \nX638 is free; \nzero(T175) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
596 [label="596: ','(zero(s(s(s(s(s(0)))))), ','(!_160, ','(failure(a), ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))))) | ','(no(zero(s(s(s(s(s(0))))))), ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))), SCOPE: 160, CLAUSE: 8 | ?_160\n\nT175 is ground\nX637 is free; \nX638 is free; \nzero(T175) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
597 [label="597: ','(zero(s(s(s(s(s(0)))))), ','(!_160, ','(failure(a), ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))))), SCOPE: 161, CLAUSE: 6 | ','(no(zero(s(s(s(s(s(0))))))), ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))), SCOPE: 160, CLAUSE: 8 | ?_160\n\nT175 is ground\nX637 is free; \nX638 is free; \nzero(T175) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
598 [label="598: ','(no(zero(s(s(s(s(s(0))))))), ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))), SCOPE: 160, CLAUSE: 8\n\nT175 is ground\nX637 is free; \nX638 is free; \nzero(T175) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
599 [label="599: ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173)))\n\nT175 is ground\nX637 is free; \nX638 is free; \nzero(T175) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
600 [label="600: ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))), SCOPE: 162, CLAUSE: 4 | ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))), SCOPE: 162, CLAUSE: 5\n\nT175 is ground\nX637 is free; \nX638 is free; \nzero(T175) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
601 [label="601: ','(p(T175, X637), ','(p(s(s(s(s(s(0))))), X638), quot(X637, X638, s(s(s(s(s(0))))), T173))), SCOPE: 162, CLAUSE: 5\n\nT175 is ground\nX637 is free; \nX638 is free; \nzero(T175) !=? zero(0)\np(T175, X637) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
602 [label="602: ','(p(s(s(s(s(s(0))))), X638), quot(T176, X638, s(s(s(s(s(0))))), T173))\n\nT176 is ground\nX637 is free; \nX638 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
603 [label="603: \n\nX637 is free\nX648 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
604 [label="604: ','(p(s(s(s(s(s(0))))), X638), quot(T176, X638, s(s(s(s(s(0))))), T173)), SCOPE: 163, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X638), quot(T176, X638, s(s(s(s(s(0))))), T173)), SCOPE: 163, CLAUSE: 5\n\nT176 is ground\nX638 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
605 [label="605: ','(p(s(s(s(s(s(0))))), X638), quot(T176, X638, s(s(s(s(s(0))))), T173)), SCOPE: 163, CLAUSE: 5\n\nT176 is ground\nX638 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
606 [label="606: quot(T176, s(s(s(s(0)))), s(s(s(s(s(0))))), T173)\n\nT176 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
607 [label="607: quot(T176, s(s(s(s(0)))), s(s(s(s(s(0))))), T173), SCOPE: 164, CLAUSE: 1 | quot(T176, s(s(s(s(0)))), s(s(s(s(s(0))))), T173), SCOPE: 164, CLAUSE: 2 | quot(T176, s(s(s(s(0)))), s(s(s(s(s(0))))), T173), SCOPE: 164, CLAUSE: 3\n\nT176 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
608 [label="608: quot(T176, s(s(s(s(0)))), s(s(s(s(s(0))))), T173), SCOPE: 164, CLAUSE: 1\n\nT176 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
609 [label="609: quot(T176, s(s(s(s(0)))), s(s(s(s(s(0))))), T173), SCOPE: 164, CLAUSE: 2 | quot(T176, s(s(s(s(0)))), s(s(s(s(s(0))))), T173), SCOPE: 164, CLAUSE: 3\n\nT176 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
610 [label="610: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
611 [label="611: \n\nX655 is free\nX656 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
612 [label="612: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
613 [label="613: quot(T176, s(s(s(s(0)))), s(s(s(s(s(0))))), T173), SCOPE: 164, CLAUSE: 3\n\nT176 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
614 [label="614: ','(no(zero(T177)), ','(no(zero(s(s(s(s(0)))))), ','(p(T177, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))))\n\nT177 is ground\nX668 is free; \nX669 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
615 [label="615: ','(no(zero(T177)), ','(no(zero(s(s(s(s(0)))))), ','(p(T177, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))))), SCOPE: 165, CLAUSE: 7 | ','(no(zero(T177)), ','(no(zero(s(s(s(s(0)))))), ','(p(T177, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))))), SCOPE: 165, CLAUSE: 8 | ?_165\n\nT177 is ground\nX668 is free; \nX669 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
616 [label="616: ','(zero(T180), ','(!_165, ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(T180, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))))))) | ','(no(zero(T180)), ','(no(zero(s(s(s(s(0)))))), ','(p(T180, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))))), SCOPE: 165, CLAUSE: 8 | ?_165\n\nT180 is ground\nX668 is free; \nX669 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
617 [label="617: ','(zero(T180), ','(!_165, ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(T180, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))))))), SCOPE: 166, CLAUSE: 6 | ','(no(zero(T180)), ','(no(zero(s(s(s(s(0)))))), ','(p(T180, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))))), SCOPE: 165, CLAUSE: 8 | ?_165\n\nT180 is ground\nX668 is free; \nX669 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
618 [label="618: ','(!_165, ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))))) | ','(no(zero(0)), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))))), SCOPE: 165, CLAUSE: 8 | ?_165\n\nX668 is free\nX669 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
619 [label="619: ','(no(zero(T180)), ','(no(zero(s(s(s(s(0)))))), ','(p(T180, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))))), SCOPE: 165, CLAUSE: 8\n\nT180 is ground\nX668 is free; \nX669 is free; \nzero(T180) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
620 [label="620: ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))))\n\nX668 is free\nX669 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
621 [label="621: ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))))), SCOPE: 167, CLAUSE: 9\n\nX668 is free\nX669 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
622 [label="622: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
623 [label="623: ','(no(zero(s(s(s(s(0)))))), ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))))\n\nT181 is ground\nX668 is free; \nX669 is free; \nzero(T181) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
624 [label="624: ','(no(zero(s(s(s(s(0)))))), ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))), SCOPE: 168, CLAUSE: 7 | ','(no(zero(s(s(s(s(0)))))), ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))), SCOPE: 168, CLAUSE: 8 | ?_168\n\nT181 is ground\nX668 is free; \nX669 is free; \nzero(T181) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
625 [label="625: ','(zero(s(s(s(s(0))))), ','(!_168, ','(failure(a), ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))))) | ','(no(zero(s(s(s(s(0)))))), ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))), SCOPE: 168, CLAUSE: 8 | ?_168\n\nT181 is ground\nX668 is free; \nX669 is free; \nzero(T181) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
626 [label="626: ','(zero(s(s(s(s(0))))), ','(!_168, ','(failure(a), ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))))), SCOPE: 169, CLAUSE: 6 | ','(no(zero(s(s(s(s(0)))))), ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))), SCOPE: 168, CLAUSE: 8 | ?_168\n\nT181 is ground\nX668 is free; \nX669 is free; \nzero(T181) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
627 [label="627: ','(no(zero(s(s(s(s(0)))))), ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))), SCOPE: 168, CLAUSE: 8\n\nT181 is ground\nX668 is free; \nX669 is free; \nzero(T181) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
628 [label="628: ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179)))\n\nT181 is ground\nX668 is free; \nX669 is free; \nzero(T181) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
629 [label="629: ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))), SCOPE: 170, CLAUSE: 4 | ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))), SCOPE: 170, CLAUSE: 5\n\nT181 is ground\nX668 is free; \nX669 is free; \nzero(T181) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
630 [label="630: ','(p(T181, X668), ','(p(s(s(s(s(0)))), X669), quot(X668, X669, s(s(s(s(s(0))))), T179))), SCOPE: 170, CLAUSE: 5\n\nT181 is ground\nX668 is free; \nX669 is free; \nzero(T181) !=? zero(0)\np(T181, X668) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
631 [label="631: ','(p(s(s(s(s(0)))), X669), quot(T182, X669, s(s(s(s(s(0))))), T179))\n\nT182 is ground\nX668 is free; \nX669 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
632 [label="632: \n\nX668 is free\nX679 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
633 [label="633: ','(p(s(s(s(s(0)))), X669), quot(T182, X669, s(s(s(s(s(0))))), T179)), SCOPE: 171, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X669), quot(T182, X669, s(s(s(s(s(0))))), T179)), SCOPE: 171, CLAUSE: 5\n\nT182 is ground\nX669 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
634 [label="634: ','(p(s(s(s(s(0)))), X669), quot(T182, X669, s(s(s(s(s(0))))), T179)), SCOPE: 171, CLAUSE: 5\n\nT182 is ground\nX669 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
635 [label="635: quot(T182, s(s(s(0))), s(s(s(s(s(0))))), T179)\n\nT182 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
636 [label="636: quot(T182, s(s(s(0))), s(s(s(s(s(0))))), T179), SCOPE: 172, CLAUSE: 1 | quot(T182, s(s(s(0))), s(s(s(s(s(0))))), T179), SCOPE: 172, CLAUSE: 2 | quot(T182, s(s(s(0))), s(s(s(s(s(0))))), T179), SCOPE: 172, CLAUSE: 3\n\nT182 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
637 [label="637: quot(T182, s(s(s(0))), s(s(s(s(s(0))))), T179), SCOPE: 172, CLAUSE: 1\n\nT182 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
638 [label="638: quot(T182, s(s(s(0))), s(s(s(s(s(0))))), T179), SCOPE: 172, CLAUSE: 2 | quot(T182, s(s(s(0))), s(s(s(s(s(0))))), T179), SCOPE: 172, CLAUSE: 3\n\nT182 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
639 [label="639: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
640 [label="640: \n\nX686 is free\nX687 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
641 [label="641: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
642 [label="642: quot(T182, s(s(s(0))), s(s(s(s(s(0))))), T179), SCOPE: 172, CLAUSE: 3\n\nT182 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
643 [label="643: ','(no(zero(T183)), ','(no(zero(s(s(s(0))))), ','(p(T183, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))))\n\nT183 is ground\nX699 is free; \nX700 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
644 [label="644: ','(no(zero(T183)), ','(no(zero(s(s(s(0))))), ','(p(T183, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))))), SCOPE: 173, CLAUSE: 7 | ','(no(zero(T183)), ','(no(zero(s(s(s(0))))), ','(p(T183, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))))), SCOPE: 173, CLAUSE: 8 | ?_173\n\nT183 is ground\nX699 is free; \nX700 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
645 [label="645: ','(zero(T186), ','(!_173, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(T186, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))))))) | ','(no(zero(T186)), ','(no(zero(s(s(s(0))))), ','(p(T186, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))))), SCOPE: 173, CLAUSE: 8 | ?_173\n\nT186 is ground\nX699 is free; \nX700 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
646 [label="646: ','(zero(T186), ','(!_173, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(T186, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))))))), SCOPE: 174, CLAUSE: 6 | ','(no(zero(T186)), ','(no(zero(s(s(s(0))))), ','(p(T186, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))))), SCOPE: 173, CLAUSE: 8 | ?_173\n\nT186 is ground\nX699 is free; \nX700 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
647 [label="647: ','(!_173, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))))) | ','(no(zero(0)), ','(no(zero(s(s(s(0))))), ','(p(0, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))))), SCOPE: 173, CLAUSE: 8 | ?_173\n\nX699 is free\nX700 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
648 [label="648: ','(no(zero(T186)), ','(no(zero(s(s(s(0))))), ','(p(T186, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))))), SCOPE: 173, CLAUSE: 8\n\nT186 is ground\nX699 is free; \nX700 is free; \nzero(T186) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
649 [label="649: ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))))\n\nX699 is free\nX700 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
650 [label="650: ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))))), SCOPE: 175, CLAUSE: 9\n\nX699 is free\nX700 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
651 [label="651: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
652 [label="652: ','(no(zero(s(s(s(0))))), ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))))\n\nT187 is ground\nX699 is free; \nX700 is free; \nzero(T187) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
653 [label="653: ','(no(zero(s(s(s(0))))), ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))), SCOPE: 176, CLAUSE: 7 | ','(no(zero(s(s(s(0))))), ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))), SCOPE: 176, CLAUSE: 8 | ?_176\n\nT187 is ground\nX699 is free; \nX700 is free; \nzero(T187) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
654 [label="654: ','(zero(s(s(s(0)))), ','(!_176, ','(failure(a), ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))))) | ','(no(zero(s(s(s(0))))), ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))), SCOPE: 176, CLAUSE: 8 | ?_176\n\nT187 is ground\nX699 is free; \nX700 is free; \nzero(T187) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
655 [label="655: ','(zero(s(s(s(0)))), ','(!_176, ','(failure(a), ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))))), SCOPE: 177, CLAUSE: 6 | ','(no(zero(s(s(s(0))))), ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))), SCOPE: 176, CLAUSE: 8 | ?_176\n\nT187 is ground\nX699 is free; \nX700 is free; \nzero(T187) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
656 [label="656: ','(no(zero(s(s(s(0))))), ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))), SCOPE: 176, CLAUSE: 8\n\nT187 is ground\nX699 is free; \nX700 is free; \nzero(T187) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
657 [label="657: ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185)))\n\nT187 is ground\nX699 is free; \nX700 is free; \nzero(T187) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
658 [label="658: ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))), SCOPE: 178, CLAUSE: 4 | ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))), SCOPE: 178, CLAUSE: 5\n\nT187 is ground\nX699 is free; \nX700 is free; \nzero(T187) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
659 [label="659: ','(p(T187, X699), ','(p(s(s(s(0))), X700), quot(X699, X700, s(s(s(s(s(0))))), T185))), SCOPE: 178, CLAUSE: 5\n\nT187 is ground\nX699 is free; \nX700 is free; \nzero(T187) !=? zero(0)\np(T187, X699) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
660 [label="660: ','(p(s(s(s(0))), X700), quot(T188, X700, s(s(s(s(s(0))))), T185))\n\nT188 is ground\nX699 is free; \nX700 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
661 [label="661: \n\nX699 is free\nX710 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
662 [label="662: ','(p(s(s(s(0))), X700), quot(T188, X700, s(s(s(s(s(0))))), T185)), SCOPE: 179, CLAUSE: 4 | ','(p(s(s(s(0))), X700), quot(T188, X700, s(s(s(s(s(0))))), T185)), SCOPE: 179, CLAUSE: 5\n\nT188 is ground\nX700 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
663 [label="663: ','(p(s(s(s(0))), X700), quot(T188, X700, s(s(s(s(s(0))))), T185)), SCOPE: 179, CLAUSE: 5\n\nT188 is ground\nX700 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
664 [label="664: quot(T188, s(s(0)), s(s(s(s(s(0))))), T185)\n\nT188 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
665 [label="665: quot(T188, s(s(0)), s(s(s(s(s(0))))), T185), SCOPE: 180, CLAUSE: 1 | quot(T188, s(s(0)), s(s(s(s(s(0))))), T185), SCOPE: 180, CLAUSE: 2 | quot(T188, s(s(0)), s(s(s(s(s(0))))), T185), SCOPE: 180, CLAUSE: 3\n\nT188 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
666 [label="666: quot(T188, s(s(0)), s(s(s(s(s(0))))), T185), SCOPE: 180, CLAUSE: 1\n\nT188 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
667 [label="667: quot(T188, s(s(0)), s(s(s(s(s(0))))), T185), SCOPE: 180, CLAUSE: 2 | quot(T188, s(s(0)), s(s(s(s(s(0))))), T185), SCOPE: 180, CLAUSE: 3\n\nT188 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
668 [label="668: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
669 [label="669: \n\nX717 is free\nX718 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
670 [label="670: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
671 [label="671: quot(T188, s(s(0)), s(s(s(s(s(0))))), T185), SCOPE: 180, CLAUSE: 3\n\nT188 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
672 [label="672: ','(no(zero(T189)), ','(no(zero(s(s(0)))), ','(p(T189, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))))\n\nT189 is ground\nX730 is free; \nX731 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
673 [label="673: ','(no(zero(T189)), ','(no(zero(s(s(0)))), ','(p(T189, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))))), SCOPE: 181, CLAUSE: 7 | ','(no(zero(T189)), ','(no(zero(s(s(0)))), ','(p(T189, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))))), SCOPE: 181, CLAUSE: 8 | ?_181\n\nT189 is ground\nX730 is free; \nX731 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
674 [label="674: ','(zero(T192), ','(!_181, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(T192, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))))))) | ','(no(zero(T192)), ','(no(zero(s(s(0)))), ','(p(T192, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))))), SCOPE: 181, CLAUSE: 8 | ?_181\n\nT192 is ground\nX730 is free; \nX731 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
675 [label="675: ','(zero(T192), ','(!_181, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(T192, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))))))), SCOPE: 182, CLAUSE: 6 | ','(no(zero(T192)), ','(no(zero(s(s(0)))), ','(p(T192, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))))), SCOPE: 181, CLAUSE: 8 | ?_181\n\nT192 is ground\nX730 is free; \nX731 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
676 [label="676: ','(!_181, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))))) | ','(no(zero(0)), ','(no(zero(s(s(0)))), ','(p(0, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))))), SCOPE: 181, CLAUSE: 8 | ?_181\n\nX730 is free\nX731 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
677 [label="677: ','(no(zero(T192)), ','(no(zero(s(s(0)))), ','(p(T192, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))))), SCOPE: 181, CLAUSE: 8\n\nT192 is ground\nX730 is free; \nX731 is free; \nzero(T192) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
678 [label="678: ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))))\n\nX730 is free\nX731 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
679 [label="679: ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))))), SCOPE: 183, CLAUSE: 9\n\nX730 is free\nX731 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
680 [label="680: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
681 [label="681: ','(no(zero(s(s(0)))), ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))))\n\nT193 is ground\nX730 is free; \nX731 is free; \nzero(T193) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
682 [label="682: ','(no(zero(s(s(0)))), ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))), SCOPE: 184, CLAUSE: 7 | ','(no(zero(s(s(0)))), ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))), SCOPE: 184, CLAUSE: 8 | ?_184\n\nT193 is ground\nX730 is free; \nX731 is free; \nzero(T193) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
683 [label="683: ','(zero(s(s(0))), ','(!_184, ','(failure(a), ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))))) | ','(no(zero(s(s(0)))), ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))), SCOPE: 184, CLAUSE: 8 | ?_184\n\nT193 is ground\nX730 is free; \nX731 is free; \nzero(T193) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
684 [label="684: ','(zero(s(s(0))), ','(!_184, ','(failure(a), ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))))), SCOPE: 185, CLAUSE: 6 | ','(no(zero(s(s(0)))), ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))), SCOPE: 184, CLAUSE: 8 | ?_184\n\nT193 is ground\nX730 is free; \nX731 is free; \nzero(T193) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
685 [label="685: ','(no(zero(s(s(0)))), ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))), SCOPE: 184, CLAUSE: 8\n\nT193 is ground\nX730 is free; \nX731 is free; \nzero(T193) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
686 [label="686: ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191)))\n\nT193 is ground\nX730 is free; \nX731 is free; \nzero(T193) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
687 [label="687: ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))), SCOPE: 186, CLAUSE: 4 | ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))), SCOPE: 186, CLAUSE: 5\n\nT193 is ground\nX730 is free; \nX731 is free; \nzero(T193) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
688 [label="688: ','(p(T193, X730), ','(p(s(s(0)), X731), quot(X730, X731, s(s(s(s(s(0))))), T191))), SCOPE: 186, CLAUSE: 5\n\nT193 is ground\nX730 is free; \nX731 is free; \nzero(T193) !=? zero(0)\np(T193, X730) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
689 [label="689: ','(p(s(s(0)), X731), quot(T194, X731, s(s(s(s(s(0))))), T191))\n\nT194 is ground\nX730 is free; \nX731 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
690 [label="690: \n\nX730 is free\nX741 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
691 [label="691: ','(p(s(s(0)), X731), quot(T194, X731, s(s(s(s(s(0))))), T191)), SCOPE: 187, CLAUSE: 4 | ','(p(s(s(0)), X731), quot(T194, X731, s(s(s(s(s(0))))), T191)), SCOPE: 187, CLAUSE: 5\n\nT194 is ground\nX731 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
692 [label="692: ','(p(s(s(0)), X731), quot(T194, X731, s(s(s(s(s(0))))), T191)), SCOPE: 187, CLAUSE: 5\n\nT194 is ground\nX731 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
693 [label="693: quot(T194, s(0), s(s(s(s(s(0))))), T191)\n\nT194 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
694 [label="694: quot(T194, s(0), s(s(s(s(s(0))))), T191), SCOPE: 188, CLAUSE: 1 | quot(T194, s(0), s(s(s(s(s(0))))), T191), SCOPE: 188, CLAUSE: 2 | quot(T194, s(0), s(s(s(s(s(0))))), T191), SCOPE: 188, CLAUSE: 3\n\nT194 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
695 [label="695: quot(T194, s(0), s(s(s(s(s(0))))), T191), SCOPE: 188, CLAUSE: 1\n\nT194 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
696 [label="696: quot(T194, s(0), s(s(s(s(s(0))))), T191), SCOPE: 188, CLAUSE: 2 | quot(T194, s(0), s(s(s(s(s(0))))), T191), SCOPE: 188, CLAUSE: 3\n\nT194 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
697 [label="697: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
698 [label="698: \n\nX748 is free\nX749 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
699 [label="699: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
700 [label="700: quot(T194, s(0), s(s(s(s(s(0))))), T191), SCOPE: 188, CLAUSE: 3\n\nT194 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
701 [label="701: ','(no(zero(T195)), ','(no(zero(s(0))), ','(p(T195, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))))\n\nT195 is ground\nX761 is free; \nX762 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
702 [label="702: ','(no(zero(T195)), ','(no(zero(s(0))), ','(p(T195, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))))), SCOPE: 189, CLAUSE: 7 | ','(no(zero(T195)), ','(no(zero(s(0))), ','(p(T195, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))))), SCOPE: 189, CLAUSE: 8 | ?_189\n\nT195 is ground\nX761 is free; \nX762 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
703 [label="703: ','(zero(T198), ','(!_189, ','(failure(a), ','(no(zero(s(0))), ','(p(T198, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))))))) | ','(no(zero(T198)), ','(no(zero(s(0))), ','(p(T198, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))))), SCOPE: 189, CLAUSE: 8 | ?_189\n\nT198 is ground\nX761 is free; \nX762 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
704 [label="704: ','(zero(T198), ','(!_189, ','(failure(a), ','(no(zero(s(0))), ','(p(T198, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))))))), SCOPE: 190, CLAUSE: 6 | ','(no(zero(T198)), ','(no(zero(s(0))), ','(p(T198, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))))), SCOPE: 189, CLAUSE: 8 | ?_189\n\nT198 is ground\nX761 is free; \nX762 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
705 [label="705: ','(!_189, ','(failure(a), ','(no(zero(s(0))), ','(p(0, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))))) | ','(no(zero(0)), ','(no(zero(s(0))), ','(p(0, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))))), SCOPE: 189, CLAUSE: 8 | ?_189\n\nX761 is free\nX762 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
706 [label="706: ','(no(zero(T198)), ','(no(zero(s(0))), ','(p(T198, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))))), SCOPE: 189, CLAUSE: 8\n\nT198 is ground\nX761 is free; \nX762 is free; \nzero(T198) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
707 [label="707: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))))\n\nX761 is free\nX762 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
708 [label="708: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))))), SCOPE: 191, CLAUSE: 9\n\nX761 is free\nX762 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
709 [label="709: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
710 [label="710: ','(no(zero(s(0))), ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))))\n\nT199 is ground\nX761 is free; \nX762 is free; \nzero(T199) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
711 [label="711: ','(no(zero(s(0))), ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))), SCOPE: 192, CLAUSE: 7 | ','(no(zero(s(0))), ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))), SCOPE: 192, CLAUSE: 8 | ?_192\n\nT199 is ground\nX761 is free; \nX762 is free; \nzero(T199) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
712 [label="712: ','(zero(s(0)), ','(!_192, ','(failure(a), ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))))) | ','(no(zero(s(0))), ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))), SCOPE: 192, CLAUSE: 8 | ?_192\n\nT199 is ground\nX761 is free; \nX762 is free; \nzero(T199) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
713 [label="713: ','(zero(s(0)), ','(!_192, ','(failure(a), ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))))), SCOPE: 193, CLAUSE: 6 | ','(no(zero(s(0))), ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))), SCOPE: 192, CLAUSE: 8 | ?_192\n\nT199 is ground\nX761 is free; \nX762 is free; \nzero(T199) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
714 [label="714: ','(no(zero(s(0))), ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))), SCOPE: 192, CLAUSE: 8\n\nT199 is ground\nX761 is free; \nX762 is free; \nzero(T199) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
715 [label="715: ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197)))\n\nT199 is ground\nX761 is free; \nX762 is free; \nzero(T199) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
716 [label="716: ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))), SCOPE: 194, CLAUSE: 4 | ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))), SCOPE: 194, CLAUSE: 5\n\nT199 is ground\nX761 is free; \nX762 is free; \nzero(T199) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
717 [label="717: ','(p(T199, X761), ','(p(s(0), X762), quot(X761, X762, s(s(s(s(s(0))))), T197))), SCOPE: 194, CLAUSE: 5\n\nT199 is ground\nX761 is free; \nX762 is free; \nzero(T199) !=? zero(0)\np(T199, X761) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
718 [label="718: ','(p(s(0), X762), quot(T200, X762, s(s(s(s(s(0))))), T197))\n\nT200 is ground\nX761 is free; \nX762 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
719 [label="719: \n\nX761 is free\nX772 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
720 [label="720: ','(p(s(0), X762), quot(T200, X762, s(s(s(s(s(0))))), T197)), SCOPE: 195, CLAUSE: 4 | ','(p(s(0), X762), quot(T200, X762, s(s(s(s(s(0))))), T197)), SCOPE: 195, CLAUSE: 5\n\nT200 is ground\nX762 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
721 [label="721: ','(p(s(0), X762), quot(T200, X762, s(s(s(s(s(0))))), T197)), SCOPE: 195, CLAUSE: 5\n\nT200 is ground\nX762 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
722 [label="722: quot(T200, 0, s(s(s(s(s(0))))), T197)\n\nT200 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
723 [label="723: quot(T200, 0, s(s(s(s(s(0))))), T197), SCOPE: 196, CLAUSE: 1 | quot(T200, 0, s(s(s(s(s(0))))), T197), SCOPE: 196, CLAUSE: 2 | quot(T200, 0, s(s(s(s(s(0))))), T197), SCOPE: 196, CLAUSE: 3\n\nT200 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
724 [label="724: quot(T200, 0, s(s(s(s(s(0))))), T197), SCOPE: 196, CLAUSE: 2 | quot(T200, 0, s(s(s(s(s(0))))), T197), SCOPE: 196, CLAUSE: 3\n\nT200 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
725 [label="725: quot(T200, 0, s(s(s(s(s(0))))), T197), SCOPE: 196, CLAUSE: 2\n\nT200 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
726 [label="726: quot(T200, 0, s(s(s(s(s(0))))), T197), SCOPE: 196, CLAUSE: 3\n\nT200 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
727 [label="727: quot(T201, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T203)\n\nT201 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
728 [label="728: \n\nX783 is free\nX784 is free; \nX785 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
729 [label="729: ','(no(zero(T204)), ','(no(zero(0)), ','(p(T204, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))))\n\nT204 is ground\nX794 is free; \nX795 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
730 [label="730: ','(no(zero(T204)), ','(no(zero(0)), ','(p(T204, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))), SCOPE: 197, CLAUSE: 7 | ','(no(zero(T204)), ','(no(zero(0)), ','(p(T204, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))), SCOPE: 197, CLAUSE: 8 | ?_197\n\nT204 is ground\nX794 is free; \nX795 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
731 [label="731: ','(zero(T207), ','(!_197, ','(failure(a), ','(no(zero(0)), ','(p(T207, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))))) | ','(no(zero(T207)), ','(no(zero(0)), ','(p(T207, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))), SCOPE: 197, CLAUSE: 8 | ?_197\n\nT207 is ground\nX794 is free; \nX795 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
732 [label="732: ','(zero(T207), ','(!_197, ','(failure(a), ','(no(zero(0)), ','(p(T207, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))))), SCOPE: 198, CLAUSE: 6 | ','(no(zero(T207)), ','(no(zero(0)), ','(p(T207, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))), SCOPE: 197, CLAUSE: 8 | ?_197\n\nT207 is ground\nX794 is free; \nX795 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
733 [label="733: ','(!_197, ','(failure(a), ','(no(zero(0)), ','(p(0, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))))) | ','(no(zero(0)), ','(no(zero(0)), ','(p(0, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))), SCOPE: 197, CLAUSE: 8 | ?_197\n\nX794 is free\nX795 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
734 [label="734: ','(no(zero(T207)), ','(no(zero(0)), ','(p(T207, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))), SCOPE: 197, CLAUSE: 8\n\nT207 is ground\nX794 is free; \nX795 is free; \nzero(T207) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
735 [label="735: ','(failure(a), ','(no(zero(0)), ','(p(0, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))))\n\nX794 is free\nX795 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
736 [label="736: ','(failure(a), ','(no(zero(0)), ','(p(0, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))), SCOPE: 199, CLAUSE: 9\n\nX794 is free\nX795 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
737 [label="737: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
738 [label="738: ','(no(zero(0)), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))\n\nT208 is ground\nX794 is free; \nX795 is free; \nzero(T208) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
739 [label="739: ','(no(zero(0)), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))), SCOPE: 200, CLAUSE: 7 | ','(no(zero(0)), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))), SCOPE: 200, CLAUSE: 8 | ?_200\n\nT208 is ground\nX794 is free; \nX795 is free; \nzero(T208) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
740 [label="740: ','(zero(0), ','(!_200, ','(failure(a), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))))) | ','(no(zero(0)), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))), SCOPE: 200, CLAUSE: 8 | ?_200\n\nT208 is ground\nX794 is free; \nX795 is free; \nzero(T208) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
741 [label="741: ','(zero(0), ','(!_200, ','(failure(a), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))))), SCOPE: 201, CLAUSE: 6 | ','(no(zero(0)), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))), SCOPE: 200, CLAUSE: 8 | ?_200\n\nT208 is ground\nX794 is free; \nX795 is free; \nzero(T208) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
742 [label="742: ','(!_200, ','(failure(a), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))) | ','(no(zero(0)), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))), SCOPE: 200, CLAUSE: 8 | ?_200\n\nT208 is ground\nX794 is free; \nX795 is free; \nzero(T208) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
743 [label="743: ','(failure(a), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206))))\n\nT208 is ground\nX794 is free; \nX795 is free; \nzero(T208) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
744 [label="744: ','(failure(a), ','(p(T208, X794), ','(p(0, X795), quot(X794, X795, s(s(s(s(s(0))))), T206)))), SCOPE: 202, CLAUSE: 9\n\nT208 is ground\nX794 is free; \nX795 is free; \nzero(T208) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
745 [label="745: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
746 [label="746: ','(no(zero(T209)), ','(no(zero(T210)), ','(p(T209, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212)))))\n\nT209 is ground\nT210 is ground\nX810 is free; \nX811 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
747 [label="747: ','(no(zero(T209)), ','(no(zero(T210)), ','(p(T209, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212))))), SCOPE: 203, CLAUSE: 7 | ','(no(zero(T209)), ','(no(zero(T210)), ','(p(T209, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212))))), SCOPE: 203, CLAUSE: 8 | ?_203\n\nT209 is ground\nT210 is ground\nX810 is free; \nX811 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
748 [label="748: ','(zero(T213), ','(!_203, ','(failure(a), ','(no(zero(T210)), ','(p(T213, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212))))))) | ','(no(zero(T213)), ','(no(zero(T210)), ','(p(T213, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212))))), SCOPE: 203, CLAUSE: 8 | ?_203\n\nT210 is ground\nT213 is ground\nX810 is free; \nX811 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
749 [label="749: ','(zero(T213), ','(!_203, ','(failure(a), ','(no(zero(T210)), ','(p(T213, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212))))))), SCOPE: 204, CLAUSE: 6 | ','(no(zero(T213)), ','(no(zero(T210)), ','(p(T213, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212))))), SCOPE: 203, CLAUSE: 8 | ?_203\n\nT210 is ground\nT213 is ground\nX810 is free; \nX811 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
750 [label="750: ','(!_203, ','(failure(a), ','(no(zero(T210)), ','(p(0, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212)))))) | ','(no(zero(0)), ','(no(zero(T210)), ','(p(0, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212))))), SCOPE: 203, CLAUSE: 8 | ?_203\n\nT210 is ground\nX810 is free; \nX811 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
751 [label="751: ','(no(zero(T213)), ','(no(zero(T210)), ','(p(T213, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212))))), SCOPE: 203, CLAUSE: 8\n\nT210 is ground\nT213 is ground\nX810 is free; \nX811 is free; \nzero(T213) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
752 [label="752: ','(failure(a), ','(no(zero(T210)), ','(p(0, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212)))))\n\nT210 is ground\nX810 is free; \nX811 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
753 [label="753: ','(failure(a), ','(no(zero(T210)), ','(p(0, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212))))), SCOPE: 205, CLAUSE: 9\n\nT210 is ground\nX810 is free; \nX811 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
754 [label="754: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
755 [label="755: ','(no(zero(T210)), ','(p(T214, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212))))\n\nT210 is ground\nT214 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
756 [label="756: ','(no(zero(T210)), ','(p(T214, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212)))), SCOPE: 206, CLAUSE: 7 | ','(no(zero(T210)), ','(p(T214, X810), ','(p(T210, X811), quot(X810, X811, s(s(s(s(s(T210))))), T212)))), SCOPE: 206, CLAUSE: 8 | ?_206\n\nT210 is ground\nT214 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
757 [label="757: ','(zero(T215), ','(!_206, ','(failure(a), ','(p(T214, X810), ','(p(T215, X811), quot(X810, X811, s(s(s(s(s(T215))))), T212)))))) | ','(no(zero(T215)), ','(p(T214, X810), ','(p(T215, X811), quot(X810, X811, s(s(s(s(s(T215))))), T212)))), SCOPE: 206, CLAUSE: 8 | ?_206\n\nT214 is ground\nT215 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
758 [label="758: ','(zero(T215), ','(!_206, ','(failure(a), ','(p(T214, X810), ','(p(T215, X811), quot(X810, X811, s(s(s(s(s(T215))))), T212)))))), SCOPE: 207, CLAUSE: 6 | ','(no(zero(T215)), ','(p(T214, X810), ','(p(T215, X811), quot(X810, X811, s(s(s(s(s(T215))))), T212)))), SCOPE: 206, CLAUSE: 8 | ?_206\n\nT214 is ground\nT215 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
759 [label="759: ','(!_206, ','(failure(a), ','(p(T214, X810), ','(p(0, X811), quot(X810, X811, s(s(s(s(s(0))))), T212))))) | ','(no(zero(0)), ','(p(T214, X810), ','(p(0, X811), quot(X810, X811, s(s(s(s(s(0))))), T212)))), SCOPE: 206, CLAUSE: 8 | ?_206\n\nT214 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
760 [label="760: ','(no(zero(T215)), ','(p(T214, X810), ','(p(T215, X811), quot(X810, X811, s(s(s(s(s(T215))))), T212)))), SCOPE: 206, CLAUSE: 8\n\nT214 is ground\nT215 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)\nzero(T215) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
761 [label="761: ','(failure(a), ','(p(T214, X810), ','(p(0, X811), quot(X810, X811, s(s(s(s(s(0))))), T212))))\n\nT214 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
762 [label="762: ','(failure(a), ','(p(T214, X810), ','(p(0, X811), quot(X810, X811, s(s(s(s(s(0))))), T212)))), SCOPE: 208, CLAUSE: 9\n\nT214 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
763 [label="763: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
764 [label="764: ','(p(T214, X810), ','(p(T216, X811), quot(X810, X811, s(s(s(s(s(T216))))), T212)))\n\nT214 is ground\nT216 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)\nzero(T216) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
765 [label="765: ','(p(T214, X810), ','(p(T216, X811), quot(X810, X811, s(s(s(s(s(T216))))), T212))), SCOPE: 209, CLAUSE: 4 | ','(p(T214, X810), ','(p(T216, X811), quot(X810, X811, s(s(s(s(s(T216))))), T212))), SCOPE: 209, CLAUSE: 5\n\nT214 is ground\nT216 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)\nzero(T216) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
766 [label="766: ','(p(T214, X810), ','(p(T216, X811), quot(X810, X811, s(s(s(s(s(T216))))), T212))), SCOPE: 209, CLAUSE: 5\n\nT214 is ground\nT216 is ground\nX810 is free; \nX811 is free; \nzero(T214) !=? zero(0)\nzero(T216) !=? zero(0)\np(T214, X810) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
767 [label="767: ','(p(T216, X811), quot(T217, X811, s(s(s(s(s(T216))))), T212))\n\nT216 is ground\nT217 is ground\nX810 is free; \nX811 is free; \nzero(T216) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
768 [label="768: \n\nX810 is free\nX821 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
769 [label="769: ','(p(T216, X811), quot(T217, X811, s(s(s(s(s(T216))))), T212)), SCOPE: 210, CLAUSE: 4 | ','(p(T216, X811), quot(T217, X811, s(s(s(s(s(T216))))), T212)), SCOPE: 210, CLAUSE: 5\n\nT216 is ground\nT217 is ground\nX811 is free; \nzero(T216) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
770 [label="770: ','(p(T216, X811), quot(T217, X811, s(s(s(s(s(T216))))), T212)), SCOPE: 210, CLAUSE: 5\n\nT216 is ground\nT217 is ground\nX811 is free; \nzero(T216) !=? zero(0)\np(T216, X811) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
771 [label="771: quot(T217, T218, s(s(s(s(s(s(T218)))))), T212)\n\nT217 is ground\nT218 is ground\nX811 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
772 [label="772: \n\nX811 is free\nX823 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
773 [label="773: quot(T217, T218, s(s(s(s(s(s(T218)))))), T212), SCOPE: 211, CLAUSE: 1 | quot(T217, T218, s(s(s(s(s(s(T218)))))), T212), SCOPE: 211, CLAUSE: 2 | quot(T217, T218, s(s(s(s(s(s(T218)))))), T212), SCOPE: 211, CLAUSE: 3\n\nT217 is ground\nT218 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
774 [label="774: quot(T217, T218, s(s(s(s(s(s(T218)))))), T212), SCOPE: 211, CLAUSE: 1\n\nT217 is ground\nT218 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
775 [label="775: quot(T217, T218, s(s(s(s(s(s(T218)))))), T212), SCOPE: 211, CLAUSE: 2 | quot(T217, T218, s(s(s(s(s(s(T218)))))), T212), SCOPE: 211, CLAUSE: 3\n\nT217 is ground\nT218 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
776 [label="776: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
777 [label="777: \n\nX828 is free\nX829 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
778 [label="778: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
779 [label="779: quot(T217, T218, s(s(s(s(s(s(T218)))))), T212), SCOPE: 211, CLAUSE: 2\n\nT217 is ground\nT218 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
780 [label="780: quot(T217, T218, s(s(s(s(s(s(T218)))))), T212), SCOPE: 211, CLAUSE: 3\n\nT217 is ground\nT218 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
781 [label="781: quot(T220, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T222)\n\nT220 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
782 [label="782: \n\nX836 is free\nX837 is free; \nX838 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
783 [label="783: quot(T220, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T222), SCOPE: 212, CLAUSE: 1 | quot(T220, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T222), SCOPE: 212, CLAUSE: 2 | quot(T220, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T222), SCOPE: 212, CLAUSE: 3\n\nT220 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
784 [label="784: quot(T220, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T222), SCOPE: 212, CLAUSE: 1\n\nT220 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
785 [label="785: quot(T220, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T222), SCOPE: 212, CLAUSE: 2 | quot(T220, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T222), SCOPE: 212, CLAUSE: 3\n\nT220 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
786 [label="786: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
787 [label="787: \n\nX843 is free\nX844 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
788 [label="788: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
789 [label="789: quot(T220, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T222), SCOPE: 212, CLAUSE: 3\n\nT220 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
790 [label="790: ','(no(zero(T223)), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T223, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))))\n\nT223 is ground\nX856 is free; \nX857 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
791 [label="791: ','(no(zero(T223)), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T223, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))))), SCOPE: 213, CLAUSE: 7 | ','(no(zero(T223)), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T223, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))))), SCOPE: 213, CLAUSE: 8 | ?_213\n\nT223 is ground\nX856 is free; \nX857 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
792 [label="792: ','(zero(T226), ','(!_213, ','(failure(a), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T226, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))))))) | ','(no(zero(T226)), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T226, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))))), SCOPE: 213, CLAUSE: 8 | ?_213\n\nT226 is ground\nX856 is free; \nX857 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
793 [label="793: ','(zero(T226), ','(!_213, ','(failure(a), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T226, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))))))), SCOPE: 214, CLAUSE: 6 | ','(no(zero(T226)), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T226, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))))), SCOPE: 213, CLAUSE: 8 | ?_213\n\nT226 is ground\nX856 is free; \nX857 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
794 [label="794: ','(!_213, ','(failure(a), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(0, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))))) | ','(no(zero(0)), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(0, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))))), SCOPE: 213, CLAUSE: 8 | ?_213\n\nX856 is free\nX857 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
795 [label="795: ','(no(zero(T226)), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T226, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))))), SCOPE: 213, CLAUSE: 8\n\nT226 is ground\nX856 is free; \nX857 is free; \nzero(T226) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
796 [label="796: ','(failure(a), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(0, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))))\n\nX856 is free\nX857 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
797 [label="797: ','(failure(a), ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(0, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))))), SCOPE: 215, CLAUSE: 9\n\nX856 is free\nX857 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
798 [label="798: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
799 [label="799: ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))))\n\nT227 is ground\nX856 is free; \nX857 is free; \nzero(T227) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
800 [label="800: ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))), SCOPE: 216, CLAUSE: 7 | ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))), SCOPE: 216, CLAUSE: 8 | ?_216\n\nT227 is ground\nX856 is free; \nX857 is free; \nzero(T227) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
801 [label="801: ','(zero(s(s(s(s(s(s(0))))))), ','(!_216, ','(failure(a), ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))))) | ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))), SCOPE: 216, CLAUSE: 8 | ?_216\n\nT227 is ground\nX856 is free; \nX857 is free; \nzero(T227) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
802 [label="802: ','(zero(s(s(s(s(s(s(0))))))), ','(!_216, ','(failure(a), ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))))), SCOPE: 217, CLAUSE: 6 | ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))), SCOPE: 216, CLAUSE: 8 | ?_216\n\nT227 is ground\nX856 is free; \nX857 is free; \nzero(T227) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
803 [label="803: ','(no(zero(s(s(s(s(s(s(0)))))))), ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))), SCOPE: 216, CLAUSE: 8\n\nT227 is ground\nX856 is free; \nX857 is free; \nzero(T227) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
804 [label="804: ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225)))\n\nT227 is ground\nX856 is free; \nX857 is free; \nzero(T227) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
805 [label="805: ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))), SCOPE: 218, CLAUSE: 4 | ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))), SCOPE: 218, CLAUSE: 5\n\nT227 is ground\nX856 is free; \nX857 is free; \nzero(T227) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
806 [label="806: ','(p(T227, X856), ','(p(s(s(s(s(s(s(0)))))), X857), quot(X856, X857, s(s(s(s(s(s(0)))))), T225))), SCOPE: 218, CLAUSE: 5\n\nT227 is ground\nX856 is free; \nX857 is free; \nzero(T227) !=? zero(0)\np(T227, X856) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
807 [label="807: ','(p(s(s(s(s(s(s(0)))))), X857), quot(T228, X857, s(s(s(s(s(s(0)))))), T225))\n\nT228 is ground\nX856 is free; \nX857 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
808 [label="808: \n\nX856 is free\nX867 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
809 [label="809: ','(p(s(s(s(s(s(s(0)))))), X857), quot(T228, X857, s(s(s(s(s(s(0)))))), T225)), SCOPE: 219, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X857), quot(T228, X857, s(s(s(s(s(s(0)))))), T225)), SCOPE: 219, CLAUSE: 5\n\nT228 is ground\nX857 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
810 [label="810: ','(p(s(s(s(s(s(s(0)))))), X857), quot(T228, X857, s(s(s(s(s(s(0)))))), T225)), SCOPE: 219, CLAUSE: 5\n\nT228 is ground\nX857 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
811 [label="811: quot(T228, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T225)\n\nT228 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
812 [label="812: quot(T228, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T225), SCOPE: 220, CLAUSE: 1 | quot(T228, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T225), SCOPE: 220, CLAUSE: 2 | quot(T228, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T225), SCOPE: 220, CLAUSE: 3\n\nT228 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
813 [label="813: quot(T228, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T225), SCOPE: 220, CLAUSE: 1\n\nT228 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
814 [label="814: quot(T228, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T225), SCOPE: 220, CLAUSE: 2 | quot(T228, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T225), SCOPE: 220, CLAUSE: 3\n\nT228 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
815 [label="815: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
816 [label="816: \n\nX874 is free\nX875 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
817 [label="817: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
818 [label="818: quot(T228, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T225), SCOPE: 220, CLAUSE: 3\n\nT228 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
819 [label="819: ','(no(zero(T229)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T229, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))))\n\nT229 is ground\nX887 is free; \nX888 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
820 [label="820: ','(no(zero(T229)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T229, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))))), SCOPE: 221, CLAUSE: 7 | ','(no(zero(T229)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T229, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))))), SCOPE: 221, CLAUSE: 8 | ?_221\n\nT229 is ground\nX887 is free; \nX888 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
821 [label="821: ','(zero(T232), ','(!_221, ','(failure(a), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T232, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))))))) | ','(no(zero(T232)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T232, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))))), SCOPE: 221, CLAUSE: 8 | ?_221\n\nT232 is ground\nX887 is free; \nX888 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
822 [label="822: ','(zero(T232), ','(!_221, ','(failure(a), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T232, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))))))), SCOPE: 222, CLAUSE: 6 | ','(no(zero(T232)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T232, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))))), SCOPE: 221, CLAUSE: 8 | ?_221\n\nT232 is ground\nX887 is free; \nX888 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
823 [label="823: ','(!_221, ','(failure(a), ','(no(zero(s(s(s(s(s(0))))))), ','(p(0, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))))) | ','(no(zero(0)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(0, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))))), SCOPE: 221, CLAUSE: 8 | ?_221\n\nX887 is free\nX888 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
824 [label="824: ','(no(zero(T232)), ','(no(zero(s(s(s(s(s(0))))))), ','(p(T232, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))))), SCOPE: 221, CLAUSE: 8\n\nT232 is ground\nX887 is free; \nX888 is free; \nzero(T232) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
825 [label="825: ','(failure(a), ','(no(zero(s(s(s(s(s(0))))))), ','(p(0, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))))\n\nX887 is free\nX888 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
826 [label="826: ','(failure(a), ','(no(zero(s(s(s(s(s(0))))))), ','(p(0, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))))), SCOPE: 223, CLAUSE: 9\n\nX887 is free\nX888 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
827 [label="827: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
828 [label="828: ','(no(zero(s(s(s(s(s(0))))))), ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))))\n\nT233 is ground\nX887 is free; \nX888 is free; \nzero(T233) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
829 [label="829: ','(no(zero(s(s(s(s(s(0))))))), ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))), SCOPE: 224, CLAUSE: 7 | ','(no(zero(s(s(s(s(s(0))))))), ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))), SCOPE: 224, CLAUSE: 8 | ?_224\n\nT233 is ground\nX887 is free; \nX888 is free; \nzero(T233) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
830 [label="830: ','(zero(s(s(s(s(s(0)))))), ','(!_224, ','(failure(a), ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))))) | ','(no(zero(s(s(s(s(s(0))))))), ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))), SCOPE: 224, CLAUSE: 8 | ?_224\n\nT233 is ground\nX887 is free; \nX888 is free; \nzero(T233) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
831 [label="831: ','(zero(s(s(s(s(s(0)))))), ','(!_224, ','(failure(a), ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))))), SCOPE: 225, CLAUSE: 6 | ','(no(zero(s(s(s(s(s(0))))))), ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))), SCOPE: 224, CLAUSE: 8 | ?_224\n\nT233 is ground\nX887 is free; \nX888 is free; \nzero(T233) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
832 [label="832: ','(no(zero(s(s(s(s(s(0))))))), ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))), SCOPE: 224, CLAUSE: 8\n\nT233 is ground\nX887 is free; \nX888 is free; \nzero(T233) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
833 [label="833: ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231)))\n\nT233 is ground\nX887 is free; \nX888 is free; \nzero(T233) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
834 [label="834: ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))), SCOPE: 226, CLAUSE: 4 | ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))), SCOPE: 226, CLAUSE: 5\n\nT233 is ground\nX887 is free; \nX888 is free; \nzero(T233) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
835 [label="835: ','(p(T233, X887), ','(p(s(s(s(s(s(0))))), X888), quot(X887, X888, s(s(s(s(s(s(0)))))), T231))), SCOPE: 226, CLAUSE: 5\n\nT233 is ground\nX887 is free; \nX888 is free; \nzero(T233) !=? zero(0)\np(T233, X887) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
836 [label="836: ','(p(s(s(s(s(s(0))))), X888), quot(T234, X888, s(s(s(s(s(s(0)))))), T231))\n\nT234 is ground\nX887 is free; \nX888 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
837 [label="837: \n\nX887 is free\nX898 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
838 [label="838: ','(p(s(s(s(s(s(0))))), X888), quot(T234, X888, s(s(s(s(s(s(0)))))), T231)), SCOPE: 227, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X888), quot(T234, X888, s(s(s(s(s(s(0)))))), T231)), SCOPE: 227, CLAUSE: 5\n\nT234 is ground\nX888 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
839 [label="839: ','(p(s(s(s(s(s(0))))), X888), quot(T234, X888, s(s(s(s(s(s(0)))))), T231)), SCOPE: 227, CLAUSE: 5\n\nT234 is ground\nX888 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
840 [label="840: quot(T234, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T231)\n\nT234 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
841 [label="841: quot(T234, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T231), SCOPE: 228, CLAUSE: 1 | quot(T234, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T231), SCOPE: 228, CLAUSE: 2 | quot(T234, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T231), SCOPE: 228, CLAUSE: 3\n\nT234 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
842 [label="842: quot(T234, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T231), SCOPE: 228, CLAUSE: 1\n\nT234 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
843 [label="843: quot(T234, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T231), SCOPE: 228, CLAUSE: 2 | quot(T234, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T231), SCOPE: 228, CLAUSE: 3\n\nT234 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
844 [label="844: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
845 [label="845: \n\nX905 is free\nX906 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
846 [label="846: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
847 [label="847: quot(T234, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T231), SCOPE: 228, CLAUSE: 3\n\nT234 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
848 [label="848: ','(no(zero(T235)), ','(no(zero(s(s(s(s(0)))))), ','(p(T235, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))))\n\nT235 is ground\nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
849 [label="849: ','(no(zero(T235)), ','(no(zero(s(s(s(s(0)))))), ','(p(T235, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))))), SCOPE: 229, CLAUSE: 7 | ','(no(zero(T235)), ','(no(zero(s(s(s(s(0)))))), ','(p(T235, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))))), SCOPE: 229, CLAUSE: 8 | ?_229\n\nT235 is ground\nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
850 [label="850: ','(zero(T238), ','(!_229, ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(T238, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))))))) | ','(no(zero(T238)), ','(no(zero(s(s(s(s(0)))))), ','(p(T238, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))))), SCOPE: 229, CLAUSE: 8 | ?_229\n\nT238 is ground\nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
851 [label="851: ','(zero(T238), ','(!_229, ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(T238, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))))))), SCOPE: 230, CLAUSE: 6 | ','(no(zero(T238)), ','(no(zero(s(s(s(s(0)))))), ','(p(T238, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))))), SCOPE: 229, CLAUSE: 8 | ?_229\n\nT238 is ground\nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
852 [label="852: ','(!_229, ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))))) | ','(no(zero(0)), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))))), SCOPE: 229, CLAUSE: 8 | ?_229\n\nX918 is free\nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
853 [label="853: ','(no(zero(T238)), ','(no(zero(s(s(s(s(0)))))), ','(p(T238, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))))), SCOPE: 229, CLAUSE: 8\n\nT238 is ground\nX918 is free; \nX919 is free; \nzero(T238) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
854 [label="854: ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))))\n\nX918 is free\nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
855 [label="855: ','(failure(a), ','(no(zero(s(s(s(s(0)))))), ','(p(0, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))))), SCOPE: 231, CLAUSE: 9\n\nX918 is free\nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
856 [label="856: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
857 [label="857: ','(no(zero(s(s(s(s(0)))))), ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))))\n\nT239 is ground\nX918 is free; \nX919 is free; \nzero(T239) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
858 [label="858: ','(no(zero(s(s(s(s(0)))))), ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))), SCOPE: 232, CLAUSE: 7 | ','(no(zero(s(s(s(s(0)))))), ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))), SCOPE: 232, CLAUSE: 8 | ?_232\n\nT239 is ground\nX918 is free; \nX919 is free; \nzero(T239) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
859 [label="859: ','(zero(s(s(s(s(0))))), ','(!_232, ','(failure(a), ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))))) | ','(no(zero(s(s(s(s(0)))))), ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))), SCOPE: 232, CLAUSE: 8 | ?_232\n\nT239 is ground\nX918 is free; \nX919 is free; \nzero(T239) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
860 [label="860: ','(zero(s(s(s(s(0))))), ','(!_232, ','(failure(a), ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))))), SCOPE: 233, CLAUSE: 6 | ','(no(zero(s(s(s(s(0)))))), ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))), SCOPE: 232, CLAUSE: 8 | ?_232\n\nT239 is ground\nX918 is free; \nX919 is free; \nzero(T239) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
861 [label="861: ','(no(zero(s(s(s(s(0)))))), ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))), SCOPE: 232, CLAUSE: 8\n\nT239 is ground\nX918 is free; \nX919 is free; \nzero(T239) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
862 [label="862: ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237)))\n\nT239 is ground\nX918 is free; \nX919 is free; \nzero(T239) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
863 [label="863: ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))), SCOPE: 234, CLAUSE: 4 | ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))), SCOPE: 234, CLAUSE: 5\n\nT239 is ground\nX918 is free; \nX919 is free; \nzero(T239) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
864 [label="864: ','(p(T239, X918), ','(p(s(s(s(s(0)))), X919), quot(X918, X919, s(s(s(s(s(s(0)))))), T237))), SCOPE: 234, CLAUSE: 5\n\nT239 is ground\nX918 is free; \nX919 is free; \nzero(T239) !=? zero(0)\np(T239, X918) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
865 [label="865: ','(p(s(s(s(s(0)))), X919), quot(T240, X919, s(s(s(s(s(s(0)))))), T237))\n\nT240 is ground\nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
866 [label="866: \n\nX918 is free\nX929 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
867 [label="867: ','(p(s(s(s(s(0)))), X919), quot(T240, X919, s(s(s(s(s(s(0)))))), T237)), SCOPE: 235, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X919), quot(T240, X919, s(s(s(s(s(s(0)))))), T237)), SCOPE: 235, CLAUSE: 5\n\nT240 is ground\nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
868 [label="868: ','(p(s(s(s(s(0)))), X919), quot(T240, X919, s(s(s(s(s(s(0)))))), T237)), SCOPE: 235, CLAUSE: 5\n\nT240 is ground\nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
869 [label="869: quot(T240, s(s(s(0))), s(s(s(s(s(s(0)))))), T237)\n\nT240 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
870 [label="870: quot(T240, s(s(s(0))), s(s(s(s(s(s(0)))))), T237), SCOPE: 236, CLAUSE: 1 | quot(T240, s(s(s(0))), s(s(s(s(s(s(0)))))), T237), SCOPE: 236, CLAUSE: 2 | quot(T240, s(s(s(0))), s(s(s(s(s(s(0)))))), T237), SCOPE: 236, CLAUSE: 3\n\nT240 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
871 [label="871: quot(T240, s(s(s(0))), s(s(s(s(s(s(0)))))), T237), SCOPE: 236, CLAUSE: 1\n\nT240 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
872 [label="872: quot(T240, s(s(s(0))), s(s(s(s(s(s(0)))))), T237), SCOPE: 236, CLAUSE: 2 | quot(T240, s(s(s(0))), s(s(s(s(s(s(0)))))), T237), SCOPE: 236, CLAUSE: 3\n\nT240 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
873 [label="873: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
874 [label="874: \n\nX936 is free\nX937 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
875 [label="875: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
876 [label="876: quot(T240, s(s(s(0))), s(s(s(s(s(s(0)))))), T237), SCOPE: 236, CLAUSE: 3\n\nT240 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
877 [label="877: ','(no(zero(T241)), ','(no(zero(s(s(s(0))))), ','(p(T241, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))))\n\nT241 is ground\nX949 is free; \nX950 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
878 [label="878: ','(no(zero(T241)), ','(no(zero(s(s(s(0))))), ','(p(T241, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))))), SCOPE: 237, CLAUSE: 7 | ','(no(zero(T241)), ','(no(zero(s(s(s(0))))), ','(p(T241, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))))), SCOPE: 237, CLAUSE: 8 | ?_237\n\nT241 is ground\nX949 is free; \nX950 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
879 [label="879: ','(zero(T244), ','(!_237, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(T244, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))))))) | ','(no(zero(T244)), ','(no(zero(s(s(s(0))))), ','(p(T244, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))))), SCOPE: 237, CLAUSE: 8 | ?_237\n\nT244 is ground\nX949 is free; \nX950 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
880 [label="880: ','(zero(T244), ','(!_237, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(T244, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))))))), SCOPE: 238, CLAUSE: 6 | ','(no(zero(T244)), ','(no(zero(s(s(s(0))))), ','(p(T244, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))))), SCOPE: 237, CLAUSE: 8 | ?_237\n\nT244 is ground\nX949 is free; \nX950 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
881 [label="881: ','(!_237, ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))))) | ','(no(zero(0)), ','(no(zero(s(s(s(0))))), ','(p(0, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))))), SCOPE: 237, CLAUSE: 8 | ?_237\n\nX949 is free\nX950 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
882 [label="882: ','(no(zero(T244)), ','(no(zero(s(s(s(0))))), ','(p(T244, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))))), SCOPE: 237, CLAUSE: 8\n\nT244 is ground\nX949 is free; \nX950 is free; \nzero(T244) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
883 [label="883: ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))))\n\nX949 is free\nX950 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
884 [label="884: ','(failure(a), ','(no(zero(s(s(s(0))))), ','(p(0, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))))), SCOPE: 239, CLAUSE: 9\n\nX949 is free\nX950 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
885 [label="885: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
886 [label="886: ','(no(zero(s(s(s(0))))), ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))))\n\nT245 is ground\nX949 is free; \nX950 is free; \nzero(T245) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
887 [label="887: ','(no(zero(s(s(s(0))))), ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))), SCOPE: 240, CLAUSE: 7 | ','(no(zero(s(s(s(0))))), ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))), SCOPE: 240, CLAUSE: 8 | ?_240\n\nT245 is ground\nX949 is free; \nX950 is free; \nzero(T245) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
888 [label="888: ','(zero(s(s(s(0)))), ','(!_240, ','(failure(a), ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))))) | ','(no(zero(s(s(s(0))))), ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))), SCOPE: 240, CLAUSE: 8 | ?_240\n\nT245 is ground\nX949 is free; \nX950 is free; \nzero(T245) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
889 [label="889: ','(zero(s(s(s(0)))), ','(!_240, ','(failure(a), ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))))), SCOPE: 241, CLAUSE: 6 | ','(no(zero(s(s(s(0))))), ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))), SCOPE: 240, CLAUSE: 8 | ?_240\n\nT245 is ground\nX949 is free; \nX950 is free; \nzero(T245) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
890 [label="890: ','(no(zero(s(s(s(0))))), ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))), SCOPE: 240, CLAUSE: 8\n\nT245 is ground\nX949 is free; \nX950 is free; \nzero(T245) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
891 [label="891: ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243)))\n\nT245 is ground\nX949 is free; \nX950 is free; \nzero(T245) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
892 [label="892: ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))), SCOPE: 242, CLAUSE: 4 | ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))), SCOPE: 242, CLAUSE: 5\n\nT245 is ground\nX949 is free; \nX950 is free; \nzero(T245) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
893 [label="893: ','(p(T245, X949), ','(p(s(s(s(0))), X950), quot(X949, X950, s(s(s(s(s(s(0)))))), T243))), SCOPE: 242, CLAUSE: 5\n\nT245 is ground\nX949 is free; \nX950 is free; \nzero(T245) !=? zero(0)\np(T245, X949) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
894 [label="894: ','(p(s(s(s(0))), X950), quot(T246, X950, s(s(s(s(s(s(0)))))), T243))\n\nT246 is ground\nX949 is free; \nX950 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
895 [label="895: \n\nX949 is free\nX960 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
896 [label="896: ','(p(s(s(s(0))), X950), quot(T246, X950, s(s(s(s(s(s(0)))))), T243)), SCOPE: 243, CLAUSE: 4 | ','(p(s(s(s(0))), X950), quot(T246, X950, s(s(s(s(s(s(0)))))), T243)), SCOPE: 243, CLAUSE: 5\n\nT246 is ground\nX950 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
897 [label="897: ','(p(s(s(s(0))), X950), quot(T246, X950, s(s(s(s(s(s(0)))))), T243)), SCOPE: 243, CLAUSE: 5\n\nT246 is ground\nX950 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
898 [label="898: quot(T246, s(s(0)), s(s(s(s(s(s(0)))))), T243)\n\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
899 [label="899: quot(T246, s(s(0)), s(s(s(s(s(s(0)))))), T243), SCOPE: 244, CLAUSE: 1 | quot(T246, s(s(0)), s(s(s(s(s(s(0)))))), T243), SCOPE: 244, CLAUSE: 2 | quot(T246, s(s(0)), s(s(s(s(s(s(0)))))), T243), SCOPE: 244, CLAUSE: 3\n\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
900 [label="900: quot(T246, s(s(0)), s(s(s(s(s(s(0)))))), T243), SCOPE: 244, CLAUSE: 1\n\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
901 [label="901: quot(T246, s(s(0)), s(s(s(s(s(s(0)))))), T243), SCOPE: 244, CLAUSE: 2 | quot(T246, s(s(0)), s(s(s(s(s(s(0)))))), T243), SCOPE: 244, CLAUSE: 3\n\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
902 [label="902: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
903 [label="903: \n\nX967 is free\nX968 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
904 [label="904: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
905 [label="905: quot(T246, s(s(0)), s(s(s(s(s(s(0)))))), T243), SCOPE: 244, CLAUSE: 3\n\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
906 [label="906: ','(no(zero(T247)), ','(no(zero(s(s(0)))), ','(p(T247, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))))\n\nT247 is ground\nX980 is free; \nX981 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
907 [label="907: ','(no(zero(T247)), ','(no(zero(s(s(0)))), ','(p(T247, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))))), SCOPE: 245, CLAUSE: 7 | ','(no(zero(T247)), ','(no(zero(s(s(0)))), ','(p(T247, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))))), SCOPE: 245, CLAUSE: 8 | ?_245\n\nT247 is ground\nX980 is free; \nX981 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
908 [label="908: ','(zero(T250), ','(!_245, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(T250, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))))))) | ','(no(zero(T250)), ','(no(zero(s(s(0)))), ','(p(T250, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))))), SCOPE: 245, CLAUSE: 8 | ?_245\n\nT250 is ground\nX980 is free; \nX981 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
909 [label="909: ','(zero(T250), ','(!_245, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(T250, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))))))), SCOPE: 246, CLAUSE: 6 | ','(no(zero(T250)), ','(no(zero(s(s(0)))), ','(p(T250, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))))), SCOPE: 245, CLAUSE: 8 | ?_245\n\nT250 is ground\nX980 is free; \nX981 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
910 [label="910: ','(!_245, ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))))) | ','(no(zero(0)), ','(no(zero(s(s(0)))), ','(p(0, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))))), SCOPE: 245, CLAUSE: 8 | ?_245\n\nX980 is free\nX981 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
911 [label="911: ','(no(zero(T250)), ','(no(zero(s(s(0)))), ','(p(T250, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))))), SCOPE: 245, CLAUSE: 8\n\nT250 is ground\nX980 is free; \nX981 is free; \nzero(T250) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
912 [label="912: ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))))\n\nX980 is free\nX981 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
913 [label="913: ','(failure(a), ','(no(zero(s(s(0)))), ','(p(0, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))))), SCOPE: 247, CLAUSE: 9\n\nX980 is free\nX981 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
914 [label="914: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
915 [label="915: ','(no(zero(s(s(0)))), ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))))\n\nT251 is ground\nX980 is free; \nX981 is free; \nzero(T251) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
916 [label="916: ','(no(zero(s(s(0)))), ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))), SCOPE: 248, CLAUSE: 7 | ','(no(zero(s(s(0)))), ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))), SCOPE: 248, CLAUSE: 8 | ?_248\n\nT251 is ground\nX980 is free; \nX981 is free; \nzero(T251) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
917 [label="917: ','(zero(s(s(0))), ','(!_248, ','(failure(a), ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))))) | ','(no(zero(s(s(0)))), ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))), SCOPE: 248, CLAUSE: 8 | ?_248\n\nT251 is ground\nX980 is free; \nX981 is free; \nzero(T251) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
918 [label="918: ','(zero(s(s(0))), ','(!_248, ','(failure(a), ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))))), SCOPE: 249, CLAUSE: 6 | ','(no(zero(s(s(0)))), ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))), SCOPE: 248, CLAUSE: 8 | ?_248\n\nT251 is ground\nX980 is free; \nX981 is free; \nzero(T251) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
919 [label="919: ','(no(zero(s(s(0)))), ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))), SCOPE: 248, CLAUSE: 8\n\nT251 is ground\nX980 is free; \nX981 is free; \nzero(T251) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
920 [label="920: ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249)))\n\nT251 is ground\nX980 is free; \nX981 is free; \nzero(T251) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
921 [label="921: ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))), SCOPE: 250, CLAUSE: 4 | ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))), SCOPE: 250, CLAUSE: 5\n\nT251 is ground\nX980 is free; \nX981 is free; \nzero(T251) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
922 [label="922: ','(p(T251, X980), ','(p(s(s(0)), X981), quot(X980, X981, s(s(s(s(s(s(0)))))), T249))), SCOPE: 250, CLAUSE: 5\n\nT251 is ground\nX980 is free; \nX981 is free; \nzero(T251) !=? zero(0)\np(T251, X980) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
923 [label="923: ','(p(s(s(0)), X981), quot(T252, X981, s(s(s(s(s(s(0)))))), T249))\n\nT252 is ground\nX980 is free; \nX981 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
924 [label="924: \n\nX980 is free\nX991 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
925 [label="925: ','(p(s(s(0)), X981), quot(T252, X981, s(s(s(s(s(s(0)))))), T249)), SCOPE: 251, CLAUSE: 4 | ','(p(s(s(0)), X981), quot(T252, X981, s(s(s(s(s(s(0)))))), T249)), SCOPE: 251, CLAUSE: 5\n\nT252 is ground\nX981 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
926 [label="926: ','(p(s(s(0)), X981), quot(T252, X981, s(s(s(s(s(s(0)))))), T249)), SCOPE: 251, CLAUSE: 5\n\nT252 is ground\nX981 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
927 [label="927: quot(T252, s(0), s(s(s(s(s(s(0)))))), T249)\n\nT252 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
928 [label="928: quot(T252, s(0), s(s(s(s(s(s(0)))))), T249), SCOPE: 252, CLAUSE: 1 | quot(T252, s(0), s(s(s(s(s(s(0)))))), T249), SCOPE: 252, CLAUSE: 2 | quot(T252, s(0), s(s(s(s(s(s(0)))))), T249), SCOPE: 252, CLAUSE: 3\n\nT252 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
929 [label="929: quot(T252, s(0), s(s(s(s(s(s(0)))))), T249), SCOPE: 252, CLAUSE: 1\n\nT252 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
930 [label="930: quot(T252, s(0), s(s(s(s(s(s(0)))))), T249), SCOPE: 252, CLAUSE: 2 | quot(T252, s(0), s(s(s(s(s(s(0)))))), T249), SCOPE: 252, CLAUSE: 3\n\nT252 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
931 [label="931: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
932 [label="932: \n\nX998 is free\nX999 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
933 [label="933: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
934 [label="934: quot(T252, s(0), s(s(s(s(s(s(0)))))), T249), SCOPE: 252, CLAUSE: 3\n\nT252 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
935 [label="935: ','(no(zero(T253)), ','(no(zero(s(0))), ','(p(T253, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))))\n\nT253 is ground\nX1011 is free; \nX1012 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
936 [label="936: ','(no(zero(T253)), ','(no(zero(s(0))), ','(p(T253, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))))), SCOPE: 253, CLAUSE: 7 | ','(no(zero(T253)), ','(no(zero(s(0))), ','(p(T253, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))))), SCOPE: 253, CLAUSE: 8 | ?_253\n\nT253 is ground\nX1011 is free; \nX1012 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
937 [label="937: ','(zero(T256), ','(!_253, ','(failure(a), ','(no(zero(s(0))), ','(p(T256, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))))))) | ','(no(zero(T256)), ','(no(zero(s(0))), ','(p(T256, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))))), SCOPE: 253, CLAUSE: 8 | ?_253\n\nT256 is ground\nX1011 is free; \nX1012 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
938 [label="938: ','(zero(T256), ','(!_253, ','(failure(a), ','(no(zero(s(0))), ','(p(T256, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))))))), SCOPE: 254, CLAUSE: 6 | ','(no(zero(T256)), ','(no(zero(s(0))), ','(p(T256, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))))), SCOPE: 253, CLAUSE: 8 | ?_253\n\nT256 is ground\nX1011 is free; \nX1012 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
939 [label="939: ','(!_253, ','(failure(a), ','(no(zero(s(0))), ','(p(0, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))))) | ','(no(zero(0)), ','(no(zero(s(0))), ','(p(0, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))))), SCOPE: 253, CLAUSE: 8 | ?_253\n\nX1011 is free\nX1012 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
940 [label="940: ','(no(zero(T256)), ','(no(zero(s(0))), ','(p(T256, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))))), SCOPE: 253, CLAUSE: 8\n\nT256 is ground\nX1011 is free; \nX1012 is free; \nzero(T256) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
941 [label="941: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))))\n\nX1011 is free\nX1012 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
942 [label="942: ','(failure(a), ','(no(zero(s(0))), ','(p(0, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))))), SCOPE: 255, CLAUSE: 9\n\nX1011 is free\nX1012 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
943 [label="943: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
944 [label="944: ','(no(zero(s(0))), ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))))\n\nT257 is ground\nX1011 is free; \nX1012 is free; \nzero(T257) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
945 [label="945: ','(no(zero(s(0))), ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))), SCOPE: 256, CLAUSE: 7 | ','(no(zero(s(0))), ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))), SCOPE: 256, CLAUSE: 8 | ?_256\n\nT257 is ground\nX1011 is free; \nX1012 is free; \nzero(T257) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
946 [label="946: ','(zero(s(0)), ','(!_256, ','(failure(a), ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))))) | ','(no(zero(s(0))), ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))), SCOPE: 256, CLAUSE: 8 | ?_256\n\nT257 is ground\nX1011 is free; \nX1012 is free; \nzero(T257) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
947 [label="947: ','(zero(s(0)), ','(!_256, ','(failure(a), ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))))), SCOPE: 257, CLAUSE: 6 | ','(no(zero(s(0))), ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))), SCOPE: 256, CLAUSE: 8 | ?_256\n\nT257 is ground\nX1011 is free; \nX1012 is free; \nzero(T257) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
948 [label="948: ','(no(zero(s(0))), ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))), SCOPE: 256, CLAUSE: 8\n\nT257 is ground\nX1011 is free; \nX1012 is free; \nzero(T257) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
949 [label="949: ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255)))\n\nT257 is ground\nX1011 is free; \nX1012 is free; \nzero(T257) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
950 [label="950: ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))), SCOPE: 258, CLAUSE: 4 | ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))), SCOPE: 258, CLAUSE: 5\n\nT257 is ground\nX1011 is free; \nX1012 is free; \nzero(T257) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
951 [label="951: ','(p(T257, X1011), ','(p(s(0), X1012), quot(X1011, X1012, s(s(s(s(s(s(0)))))), T255))), SCOPE: 258, CLAUSE: 5\n\nT257 is ground\nX1011 is free; \nX1012 is free; \nzero(T257) !=? zero(0)\np(T257, X1011) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
952 [label="952: ','(p(s(0), X1012), quot(T258, X1012, s(s(s(s(s(s(0)))))), T255))\n\nT258 is ground\nX1011 is free; \nX1012 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
953 [label="953: \n\nX1011 is free\nX1022 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
954 [label="954: ','(p(s(0), X1012), quot(T258, X1012, s(s(s(s(s(s(0)))))), T255)), SCOPE: 259, CLAUSE: 4 | ','(p(s(0), X1012), quot(T258, X1012, s(s(s(s(s(s(0)))))), T255)), SCOPE: 259, CLAUSE: 5\n\nT258 is ground\nX1012 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
955 [label="955: ','(p(s(0), X1012), quot(T258, X1012, s(s(s(s(s(s(0)))))), T255)), SCOPE: 259, CLAUSE: 5\n\nT258 is ground\nX1012 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
956 [label="956: quot(T258, 0, s(s(s(s(s(s(0)))))), T255)\n\nT258 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
957 [label="957: quot(T258, 0, s(s(s(s(s(s(0)))))), T255), SCOPE: 260, CLAUSE: 1 | quot(T258, 0, s(s(s(s(s(s(0)))))), T255), SCOPE: 260, CLAUSE: 2 | quot(T258, 0, s(s(s(s(s(s(0)))))), T255), SCOPE: 260, CLAUSE: 3\n\nT258 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
958 [label="958: quot(T258, 0, s(s(s(s(s(s(0)))))), T255), SCOPE: 260, CLAUSE: 2 | quot(T258, 0, s(s(s(s(s(s(0)))))), T255), SCOPE: 260, CLAUSE: 3\n\nT258 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
959 [label="959: quot(T258, 0, s(s(s(s(s(s(0)))))), T255), SCOPE: 260, CLAUSE: 2\n\nT258 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
960 [label="960: quot(T258, 0, s(s(s(s(s(s(0)))))), T255), SCOPE: 260, CLAUSE: 3\n\nT258 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
961 [label="961: quot(T259, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T261)\n\nT259 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
962 [label="962: \n\nX1033 is free\nX1034 is free; \nX1035 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
963 [label="963: ','(no(zero(T262)), ','(no(zero(0)), ','(p(T262, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))))\n\nT262 is ground\nX1044 is free; \nX1045 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
964 [label="964: ','(no(zero(T262)), ','(no(zero(0)), ','(p(T262, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))), SCOPE: 261, CLAUSE: 7 | ','(no(zero(T262)), ','(no(zero(0)), ','(p(T262, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))), SCOPE: 261, CLAUSE: 8 | ?_261\n\nT262 is ground\nX1044 is free; \nX1045 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
965 [label="965: ','(zero(T265), ','(!_261, ','(failure(a), ','(no(zero(0)), ','(p(T265, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))))) | ','(no(zero(T265)), ','(no(zero(0)), ','(p(T265, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))), SCOPE: 261, CLAUSE: 8 | ?_261\n\nT265 is ground\nX1044 is free; \nX1045 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
966 [label="966: ','(zero(T265), ','(!_261, ','(failure(a), ','(no(zero(0)), ','(p(T265, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))))), SCOPE: 262, CLAUSE: 6 | ','(no(zero(T265)), ','(no(zero(0)), ','(p(T265, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))), SCOPE: 261, CLAUSE: 8 | ?_261\n\nT265 is ground\nX1044 is free; \nX1045 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
967 [label="967: ','(!_261, ','(failure(a), ','(no(zero(0)), ','(p(0, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))))) | ','(no(zero(0)), ','(no(zero(0)), ','(p(0, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))), SCOPE: 261, CLAUSE: 8 | ?_261\n\nX1044 is free\nX1045 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
968 [label="968: ','(no(zero(T265)), ','(no(zero(0)), ','(p(T265, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))), SCOPE: 261, CLAUSE: 8\n\nT265 is ground\nX1044 is free; \nX1045 is free; \nzero(T265) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
969 [label="969: ','(failure(a), ','(no(zero(0)), ','(p(0, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))))\n\nX1044 is free\nX1045 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
970 [label="970: ','(failure(a), ','(no(zero(0)), ','(p(0, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))), SCOPE: 263, CLAUSE: 9\n\nX1044 is free\nX1045 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
971 [label="971: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
972 [label="972: ','(no(zero(0)), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))\n\nT266 is ground\nX1044 is free; \nX1045 is free; \nzero(T266) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
973 [label="973: ','(no(zero(0)), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))), SCOPE: 264, CLAUSE: 7 | ','(no(zero(0)), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))), SCOPE: 264, CLAUSE: 8 | ?_264\n\nT266 is ground\nX1044 is free; \nX1045 is free; \nzero(T266) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
974 [label="974: ','(zero(0), ','(!_264, ','(failure(a), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))))) | ','(no(zero(0)), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))), SCOPE: 264, CLAUSE: 8 | ?_264\n\nT266 is ground\nX1044 is free; \nX1045 is free; \nzero(T266) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
975 [label="975: ','(zero(0), ','(!_264, ','(failure(a), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))))), SCOPE: 265, CLAUSE: 6 | ','(no(zero(0)), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))), SCOPE: 264, CLAUSE: 8 | ?_264\n\nT266 is ground\nX1044 is free; \nX1045 is free; \nzero(T266) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
976 [label="976: ','(!_264, ','(failure(a), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))) | ','(no(zero(0)), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))), SCOPE: 264, CLAUSE: 8 | ?_264\n\nT266 is ground\nX1044 is free; \nX1045 is free; \nzero(T266) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
977 [label="977: ','(failure(a), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264))))\n\nT266 is ground\nX1044 is free; \nX1045 is free; \nzero(T266) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
978 [label="978: ','(failure(a), ','(p(T266, X1044), ','(p(0, X1045), quot(X1044, X1045, s(s(s(s(s(s(0)))))), T264)))), SCOPE: 266, CLAUSE: 9\n\nT266 is ground\nX1044 is free; \nX1045 is free; \nzero(T266) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
979 [label="979: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
980 [label="980: ','(no(zero(T267)), ','(no(zero(T268)), ','(p(T267, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270)))))\n\nT267 is ground\nT268 is ground\nX1060 is free; \nX1061 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
981 [label="981: ','(no(zero(T267)), ','(no(zero(T268)), ','(p(T267, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270))))), SCOPE: 267, CLAUSE: 7 | ','(no(zero(T267)), ','(no(zero(T268)), ','(p(T267, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270))))), SCOPE: 267, CLAUSE: 8 | ?_267\n\nT267 is ground\nT268 is ground\nX1060 is free; \nX1061 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
982 [label="982: ','(zero(T271), ','(!_267, ','(failure(a), ','(no(zero(T268)), ','(p(T271, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270))))))) | ','(no(zero(T271)), ','(no(zero(T268)), ','(p(T271, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270))))), SCOPE: 267, CLAUSE: 8 | ?_267\n\nT268 is ground\nT271 is ground\nX1060 is free; \nX1061 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
983 [label="983: ','(zero(T271), ','(!_267, ','(failure(a), ','(no(zero(T268)), ','(p(T271, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270))))))), SCOPE: 268, CLAUSE: 6 | ','(no(zero(T271)), ','(no(zero(T268)), ','(p(T271, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270))))), SCOPE: 267, CLAUSE: 8 | ?_267\n\nT268 is ground\nT271 is ground\nX1060 is free; \nX1061 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
984 [label="984: ','(!_267, ','(failure(a), ','(no(zero(T268)), ','(p(0, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270)))))) | ','(no(zero(0)), ','(no(zero(T268)), ','(p(0, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270))))), SCOPE: 267, CLAUSE: 8 | ?_267\n\nT268 is ground\nX1060 is free; \nX1061 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
985 [label="985: ','(no(zero(T271)), ','(no(zero(T268)), ','(p(T271, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270))))), SCOPE: 267, CLAUSE: 8\n\nT268 is ground\nT271 is ground\nX1060 is free; \nX1061 is free; \nzero(T271) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
986 [label="986: ','(failure(a), ','(no(zero(T268)), ','(p(0, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270)))))\n\nT268 is ground\nX1060 is free; \nX1061 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
987 [label="987: ','(failure(a), ','(no(zero(T268)), ','(p(0, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270))))), SCOPE: 269, CLAUSE: 9\n\nT268 is ground\nX1060 is free; \nX1061 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
988 [label="988: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
989 [label="989: ','(no(zero(T268)), ','(p(T272, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270))))\n\nT268 is ground\nT272 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
990 [label="990: ','(no(zero(T268)), ','(p(T272, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270)))), SCOPE: 270, CLAUSE: 7 | ','(no(zero(T268)), ','(p(T272, X1060), ','(p(T268, X1061), quot(X1060, X1061, s(s(s(s(s(s(T268)))))), T270)))), SCOPE: 270, CLAUSE: 8 | ?_270\n\nT268 is ground\nT272 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
991 [label="991: ','(zero(T273), ','(!_270, ','(failure(a), ','(p(T272, X1060), ','(p(T273, X1061), quot(X1060, X1061, s(s(s(s(s(s(T273)))))), T270)))))) | ','(no(zero(T273)), ','(p(T272, X1060), ','(p(T273, X1061), quot(X1060, X1061, s(s(s(s(s(s(T273)))))), T270)))), SCOPE: 270, CLAUSE: 8 | ?_270\n\nT272 is ground\nT273 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
992 [label="992: ','(zero(T273), ','(!_270, ','(failure(a), ','(p(T272, X1060), ','(p(T273, X1061), quot(X1060, X1061, s(s(s(s(s(s(T273)))))), T270)))))), SCOPE: 271, CLAUSE: 6 | ','(no(zero(T273)), ','(p(T272, X1060), ','(p(T273, X1061), quot(X1060, X1061, s(s(s(s(s(s(T273)))))), T270)))), SCOPE: 270, CLAUSE: 8 | ?_270\n\nT272 is ground\nT273 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
993 [label="993: ','(!_270, ','(failure(a), ','(p(T272, X1060), ','(p(0, X1061), quot(X1060, X1061, s(s(s(s(s(s(0)))))), T270))))) | ','(no(zero(0)), ','(p(T272, X1060), ','(p(0, X1061), quot(X1060, X1061, s(s(s(s(s(s(0)))))), T270)))), SCOPE: 270, CLAUSE: 8 | ?_270\n\nT272 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
994 [label="994: ','(no(zero(T273)), ','(p(T272, X1060), ','(p(T273, X1061), quot(X1060, X1061, s(s(s(s(s(s(T273)))))), T270)))), SCOPE: 270, CLAUSE: 8\n\nT272 is ground\nT273 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)\nzero(T273) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
995 [label="995: ','(failure(a), ','(p(T272, X1060), ','(p(0, X1061), quot(X1060, X1061, s(s(s(s(s(s(0)))))), T270))))\n\nT272 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
996 [label="996: ','(failure(a), ','(p(T272, X1060), ','(p(0, X1061), quot(X1060, X1061, s(s(s(s(s(s(0)))))), T270)))), SCOPE: 272, CLAUSE: 9\n\nT272 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
997 [label="997: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
998 [label="998: ','(p(T272, X1060), ','(p(T274, X1061), quot(X1060, X1061, s(s(s(s(s(s(T274)))))), T270)))\n\nT272 is ground\nT274 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)\nzero(T274) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
999 [label="999: ','(p(T272, X1060), ','(p(T274, X1061), quot(X1060, X1061, s(s(s(s(s(s(T274)))))), T270))), SCOPE: 273, CLAUSE: 4 | ','(p(T272, X1060), ','(p(T274, X1061), quot(X1060, X1061, s(s(s(s(s(s(T274)))))), T270))), SCOPE: 273, CLAUSE: 5\n\nT272 is ground\nT274 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)\nzero(T274) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1000 [label="1000: ','(p(T272, X1060), ','(p(T274, X1061), quot(X1060, X1061, s(s(s(s(s(s(T274)))))), T270))), SCOPE: 273, CLAUSE: 5\n\nT272 is ground\nT274 is ground\nX1060 is free; \nX1061 is free; \nzero(T272) !=? zero(0)\nzero(T274) !=? zero(0)\np(T272, X1060) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
1001 [label="1001: ','(p(T274, X1061), quot(T275, X1061, s(s(s(s(s(s(T274)))))), T270))\n\nT274 is ground\nT275 is ground\nX1060 is free; \nX1061 is free; \nzero(T274) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1002 [label="1002: \n\nX1060 is free\nX1071 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1003 [label="1003: ','(p(T274, X1061), quot(T275, X1061, s(s(s(s(s(s(T274)))))), T270)), SCOPE: 274, CLAUSE: 4 | ','(p(T274, X1061), quot(T275, X1061, s(s(s(s(s(s(T274)))))), T270)), SCOPE: 274, CLAUSE: 5\n\nT274 is ground\nT275 is ground\nX1061 is free; \nzero(T274) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1004 [label="1004: ','(p(T274, X1061), quot(T275, X1061, s(s(s(s(s(s(T274)))))), T270)), SCOPE: 274, CLAUSE: 5\n\nT274 is ground\nT275 is ground\nX1061 is free; \nzero(T274) !=? zero(0)\np(T274, X1061) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
1005 [label="1005: quot(T275, T276, s(s(s(s(s(s(s(T276))))))), T270)\n\nT275 is ground\nT276 is ground\nX1061 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1006 [label="1006: \n\nX1061 is free\nX1073 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1007 [label="1007: quot(T275, T276, s(T277), T270)\n\nT275 is ground\nT276 is ground\nT277 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1008 [label="1008: quot(T275, T276, s(T277), T270), SCOPE: 275, CLAUSE: 1 | quot(T275, T276, s(T277), T270), SCOPE: 275, CLAUSE: 2 | quot(T275, T276, s(T277), T270), SCOPE: 275, CLAUSE: 3\n\nT275 is ground\nT276 is ground\nT277 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1009 [label="1009: quot(T275, T276, s(T277), T270), SCOPE: 275, CLAUSE: 1\n\nT275 is ground\nT276 is ground\nT277 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1010 [label="1010: quot(T275, T276, s(T277), T270), SCOPE: 275, CLAUSE: 2 | quot(T275, T276, s(T277), T270), SCOPE: 275, CLAUSE: 3\n\nT275 is ground\nT276 is ground\nT277 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1011 [label="1011: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1012 [label="1012: \n\nX1078 is free\nX1079 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1013 [label="1013: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1014 [label="1014: quot(T275, T276, s(T277), T270), SCOPE: 275, CLAUSE: 2\n\nT275 is ground\nT276 is ground\nT277 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1015 [label="1015: quot(T275, T276, s(T277), T270), SCOPE: 275, CLAUSE: 3\n\nT275 is ground\nT276 is ground\nT277 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1016 [label="1016: quot(T280, s(T281), s(T281), T283)\n\nT280 is ground\nT281 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1017 [label="1017: \n\nX1086 is free\nX1087 is free; \nX1088 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1018 [label="1018: ','(no(zero(T284)), ','(no(zero(T285)), ','(p(T284, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288)))))\n\nT284 is ground\nT285 is ground\nT286 is ground\nX1097 is free; \nX1098 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1019 [label="1019: ','(no(zero(T284)), ','(no(zero(T285)), ','(p(T284, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288))))), SCOPE: 276, CLAUSE: 7 | ','(no(zero(T284)), ','(no(zero(T285)), ','(p(T284, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288))))), SCOPE: 276, CLAUSE: 8 | ?_276\n\nT284 is ground\nT285 is ground\nT286 is ground\nX1097 is free; \nX1098 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1020 [label="1020: ','(zero(T289), ','(!_276, ','(failure(a), ','(no(zero(T285)), ','(p(T289, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288))))))) | ','(no(zero(T289)), ','(no(zero(T285)), ','(p(T289, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288))))), SCOPE: 276, CLAUSE: 8 | ?_276\n\nT285 is ground\nT286 is ground\nT289 is ground\nX1097 is free; \nX1098 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1021 [label="1021: ','(zero(T289), ','(!_276, ','(failure(a), ','(no(zero(T285)), ','(p(T289, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288))))))), SCOPE: 277, CLAUSE: 6 | ','(no(zero(T289)), ','(no(zero(T285)), ','(p(T289, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288))))), SCOPE: 276, CLAUSE: 8 | ?_276\n\nT285 is ground\nT286 is ground\nT289 is ground\nX1097 is free; \nX1098 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1022 [label="1022: ','(!_276, ','(failure(a), ','(no(zero(T285)), ','(p(0, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288)))))) | ','(no(zero(0)), ','(no(zero(T285)), ','(p(0, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288))))), SCOPE: 276, CLAUSE: 8 | ?_276\n\nT285 is ground\nT286 is ground\nX1097 is free; \nX1098 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1023 [label="1023: ','(no(zero(T289)), ','(no(zero(T285)), ','(p(T289, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288))))), SCOPE: 276, CLAUSE: 8\n\nT285 is ground\nT286 is ground\nT289 is ground\nX1097 is free; \nX1098 is free; \nzero(T289) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1024 [label="1024: ','(failure(a), ','(no(zero(T285)), ','(p(0, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288)))))\n\nT285 is ground\nT286 is ground\nX1097 is free; \nX1098 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1025 [label="1025: ','(failure(a), ','(no(zero(T285)), ','(p(0, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288))))), SCOPE: 278, CLAUSE: 9\n\nT285 is ground\nT286 is ground\nX1097 is free; \nX1098 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1026 [label="1026: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1027 [label="1027: ','(no(zero(T285)), ','(p(T290, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288))))\n\nT285 is ground\nT286 is ground\nT290 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1028 [label="1028: ','(no(zero(T285)), ','(p(T290, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288)))), SCOPE: 279, CLAUSE: 7 | ','(no(zero(T285)), ','(p(T290, X1097), ','(p(T285, X1098), quot(X1097, X1098, s(T286), T288)))), SCOPE: 279, CLAUSE: 8 | ?_279\n\nT285 is ground\nT286 is ground\nT290 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1029 [label="1029: ','(zero(T291), ','(!_279, ','(failure(a), ','(p(T290, X1097), ','(p(T291, X1098), quot(X1097, X1098, s(T286), T288)))))) | ','(no(zero(T291)), ','(p(T290, X1097), ','(p(T291, X1098), quot(X1097, X1098, s(T286), T288)))), SCOPE: 279, CLAUSE: 8 | ?_279\n\nT286 is ground\nT290 is ground\nT291 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1030 [label="1030: ','(zero(T291), ','(!_279, ','(failure(a), ','(p(T290, X1097), ','(p(T291, X1098), quot(X1097, X1098, s(T286), T288)))))), SCOPE: 280, CLAUSE: 6 | ','(no(zero(T291)), ','(p(T290, X1097), ','(p(T291, X1098), quot(X1097, X1098, s(T286), T288)))), SCOPE: 279, CLAUSE: 8 | ?_279\n\nT286 is ground\nT290 is ground\nT291 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1031 [label="1031: ','(!_279, ','(failure(a), ','(p(T290, X1097), ','(p(0, X1098), quot(X1097, X1098, s(T286), T288))))) | ','(no(zero(0)), ','(p(T290, X1097), ','(p(0, X1098), quot(X1097, X1098, s(T286), T288)))), SCOPE: 279, CLAUSE: 8 | ?_279\n\nT286 is ground\nT290 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1032 [label="1032: ','(no(zero(T291)), ','(p(T290, X1097), ','(p(T291, X1098), quot(X1097, X1098, s(T286), T288)))), SCOPE: 279, CLAUSE: 8\n\nT286 is ground\nT290 is ground\nT291 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)\nzero(T291) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1033 [label="1033: ','(failure(a), ','(p(T290, X1097), ','(p(0, X1098), quot(X1097, X1098, s(T286), T288))))\n\nT286 is ground\nT290 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1034 [label="1034: ','(failure(a), ','(p(T290, X1097), ','(p(0, X1098), quot(X1097, X1098, s(T286), T288)))), SCOPE: 281, CLAUSE: 9\n\nT286 is ground\nT290 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1035 [label="1035: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1036 [label="1036: ','(p(T290, X1097), ','(p(T292, X1098), quot(X1097, X1098, s(T286), T288)))\n\nT286 is ground\nT290 is ground\nT292 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)\nzero(T292) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1037 [label="1037: ','(p(T290, X1097), ','(p(T292, X1098), quot(X1097, X1098, s(T286), T288))), SCOPE: 282, CLAUSE: 4 | ','(p(T290, X1097), ','(p(T292, X1098), quot(X1097, X1098, s(T286), T288))), SCOPE: 282, CLAUSE: 5\n\nT286 is ground\nT290 is ground\nT292 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)\nzero(T292) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1038 [label="1038: ','(p(T290, X1097), ','(p(T292, X1098), quot(X1097, X1098, s(T286), T288))), SCOPE: 282, CLAUSE: 5\n\nT286 is ground\nT290 is ground\nT292 is ground\nX1097 is free; \nX1098 is free; \nzero(T290) !=? zero(0)\nzero(T292) !=? zero(0)\np(T290, X1097) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
1039 [label="1039: ','(p(T292, X1098), quot(T293, X1098, s(T286), T288))\n\nT286 is ground\nT292 is ground\nT293 is ground\nX1097 is free; \nX1098 is free; \nzero(T292) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1040 [label="1040: \n\nX1097 is free\nX1108 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1041 [label="1041: ','(p(T292, X1098), quot(T293, X1098, s(T286), T288)), SCOPE: 283, CLAUSE: 4 | ','(p(T292, X1098), quot(T293, X1098, s(T286), T288)), SCOPE: 283, CLAUSE: 5\n\nT286 is ground\nT292 is ground\nT293 is ground\nX1098 is free; \nzero(T292) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
1042 [label="1042: ','(p(T292, X1098), quot(T293, X1098, s(T286), T288)), SCOPE: 283, CLAUSE: 5\n\nT286 is ground\nT292 is ground\nT293 is ground\nX1098 is free; \nzero(T292) !=? zero(0)\np(T292, X1098) !=? p(0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
1043 [label="1043: quot(T293, T294, s(T286), T288)\n\nT286 is ground\nT293 is ground\nT294 is ground\nX1098 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1044 [label="1044: \n\nX1098 is free\nX1110 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
1045 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1 -> 1045 [arrowhead = none ];
1045 -> 2;

1046 [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 -> 1046 [arrowhead = none ];
1046 -> 3;

1047 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3 -> 1047 [arrowhead = none ];
1047 -> 4;

1048 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4 -> 1048 [arrowhead = none ];
1048 -> 5;

1049 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4 -> 1049 [arrowhead = none ];
1049 -> 6;

1050 [label="EVAL with clause\nquot(0, s(X12), s(X13), 0).\nand substitution\nT4 -> 0\nX12 -> T8\nT5 -> s(T8)\nX13 -> T8\nT7 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
5 -> 1050 [arrowhead = none ];
1050 -> 7;

1051 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
5 -> 1051 [arrowhead = none ];
1051 -> 8;

1052 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
6 -> 1052 [arrowhead = none ];
1052 -> 10;

1053 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
7 -> 1053 [arrowhead = none ];
1053 -> 9;

1054 [label="EVAL with clause\nquot(X21, X22, X23, X24) :- ','(no(zero(X21)), ','(no(zero(X22)), ','(p(X21, X25), ','(p(X22, X26), quot(X25, X26, X23, X24))))).\nand substitution\nT4 -> T9\nX21 -> T9\nT5 -> T10\nX22 -> T10\nX23 -> T10\nT7 -> T12\nX24 -> T12\nT11 -> T12", fontsize=14, style = filled, fillcolor = lightblue];
10 -> 1054 [arrowhead = none ];
1054 -> 11;

1055 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
11 -> 1055 [arrowhead = none ];
1055 -> 12;

1056 [label="EVAL with clause\nno(X28) :- ','(X28, ','(!, failure(a))).\nand substitution\nT9 -> T13\nX28 -> zero(T13)", fontsize=14, style = filled, fillcolor = lightblue];
12 -> 1056 [arrowhead = none ];
1056 -> 13;

1057 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
13 -> 1057 [arrowhead = none ];
1057 -> 14;

1058 [label="EVAL with clause\nzero(0).\nand substitution\nT13 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
14 -> 1058 [arrowhead = none ];
1058 -> 15;

1059 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
14 -> 1059 [arrowhead = none ];
1059 -> 16;

1060 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
15 -> 1060 [arrowhead = none ];
1060 -> 17;

1061 [label="EVAL with clause\nno(X30).\nand substitution\nT13 -> T14\nX30 -> zero(T14)", fontsize=14, style = filled, fillcolor = lightblue];
16 -> 1061 [arrowhead = none ];
1061 -> 20;

1062 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
17 -> 1062 [arrowhead = none ];
1062 -> 18;

1063 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
18 -> 1063 [arrowhead = none ];
1063 -> 19;

1064 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
20 -> 1064 [arrowhead = none ];
1064 -> 21;

1065 [label="EVAL with clause\nno(X32) :- ','(X32, ','(!, failure(a))).\nand substitution\nT10 -> T15\nX32 -> zero(T15)", fontsize=14, style = filled, fillcolor = lightblue];
21 -> 1065 [arrowhead = none ];
1065 -> 22;

1066 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
22 -> 1066 [arrowhead = none ];
1066 -> 23;

1067 [label="EVAL with clause\nzero(0).\nand substitution\nT15 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
23 -> 1067 [arrowhead = none ];
1067 -> 24;

1068 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
23 -> 1068 [arrowhead = none ];
1068 -> 25;

1069 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
24 -> 1069 [arrowhead = none ];
1069 -> 26;

1070 [label="EVAL with clause\nno(X34).\nand substitution\nT15 -> T16\nX34 -> zero(T16)", fontsize=14, style = filled, fillcolor = lightblue];
25 -> 1070 [arrowhead = none ];
1070 -> 29;

1071 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
26 -> 1071 [arrowhead = none ];
1071 -> 27;

1072 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
27 -> 1072 [arrowhead = none ];
1072 -> 28;

1073 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
29 -> 1073 [arrowhead = none ];
1073 -> 30;

1074 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T14), zero(0))", fontsize=14, style = filled, fillcolor = white];
30 -> 1074 [arrowhead = none ];
1074 -> 31;

1075 [label="EVAL with clause\np(s(X36), X36).\nand substitution\nX36 -> T17\nT14 -> s(T17)\nX25 -> T17", fontsize=14, style = filled, fillcolor = lightblue];
31 -> 1075 [arrowhead = none ];
1075 -> 32;

1076 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
31 -> 1076 [arrowhead = none ];
1076 -> 33;

1077 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
32 -> 1077 [arrowhead = none ];
1077 -> 34;

1078 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T16), zero(0))", fontsize=14, style = filled, fillcolor = white];
34 -> 1078 [arrowhead = none ];
1078 -> 35;

1079 [label="EVAL with clause\np(s(X38), X38).\nand substitution\nX38 -> T18\nT16 -> s(T18)\nX26 -> T18", fontsize=14, style = filled, fillcolor = lightblue];
35 -> 1079 [arrowhead = none ];
1079 -> 36;

1080 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
35 -> 1080 [arrowhead = none ];
1080 -> 37;

1081 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
36 -> 1081 [arrowhead = none ];
1081 -> 38;

1082 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
38 -> 1082 [arrowhead = none ];
1082 -> 39;

1083 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
38 -> 1083 [arrowhead = none ];
1083 -> 40;

1084 [label="EVAL with clause\nquot(0, s(X43), s(X44), 0).\nand substitution\nT17 -> 0\nX43 -> T19\nT18 -> s(T19)\nX44 -> s(T19)\nT12 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
39 -> 1084 [arrowhead = none ];
1084 -> 41;

1085 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
39 -> 1085 [arrowhead = none ];
1085 -> 42;

1086 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
40 -> 1086 [arrowhead = none ];
1086 -> 44;

1087 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
40 -> 1087 [arrowhead = none ];
1087 -> 45;

1088 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
41 -> 1088 [arrowhead = none ];
1088 -> 43;

1089 [label="EVAL with clause\nquot(X51, 0, s(X52), s(X53)) :- quot(X51, s(X52), s(X52), X53).\nand substitution\nT17 -> T20\nX51 -> T20\nT18 -> 0\nX52 -> 0\nX53 -> T22\nT12 -> s(T22)\nT21 -> T22", fontsize=14, style = filled, fillcolor = lightblue];
44 -> 1089 [arrowhead = none ];
1089 -> 46;

1090 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
44 -> 1090 [arrowhead = none ];
1090 -> 47;

1091 [label="EVAL with clause\nquot(X116, X117, X118, X119) :- ','(no(zero(X116)), ','(no(zero(X117)), ','(p(X116, X120), ','(p(X117, X121), quot(X120, X121, X118, X119))))).\nand substitution\nT17 -> T37\nX116 -> T37\nT18 -> T38\nX117 -> T38\nX118 -> s(T38)\nT12 -> T40\nX119 -> T40\nT39 -> T40", fontsize=14, style = filled, fillcolor = lightblue];
45 -> 1091 [arrowhead = none ];
1091 -> 100;

1092 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
46 -> 1092 [arrowhead = none ];
1092 -> 48;

1093 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
48 -> 1093 [arrowhead = none ];
1093 -> 49;

1094 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
48 -> 1094 [arrowhead = none ];
1094 -> 50;

1095 [label="EVAL with clause\nquot(0, s(X58), s(X59), 0).\nand substitution\nT20 -> 0\nX58 -> 0\nX59 -> 0\nT22 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
49 -> 1095 [arrowhead = none ];
1095 -> 51;

1096 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
49 -> 1096 [arrowhead = none ];
1096 -> 52;

1097 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
50 -> 1097 [arrowhead = none ];
1097 -> 54;

1098 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
51 -> 1098 [arrowhead = none ];
1098 -> 53;

1099 [label="EVAL with clause\nquot(X67, X68, X69, X70) :- ','(no(zero(X67)), ','(no(zero(X68)), ','(p(X67, X71), ','(p(X68, X72), quot(X71, X72, X69, X70))))).\nand substitution\nT20 -> T23\nX67 -> T23\nX68 -> s(0)\nX69 -> s(0)\nT22 -> T25\nX70 -> T25\nT24 -> T25", fontsize=14, style = filled, fillcolor = lightblue];
54 -> 1099 [arrowhead = none ];
1099 -> 55;

1100 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
55 -> 1100 [arrowhead = none ];
1100 -> 56;

1101 [label="EVAL with clause\nno(X74) :- ','(X74, ','(!, failure(a))).\nand substitution\nT23 -> T26\nX74 -> zero(T26)", fontsize=14, style = filled, fillcolor = lightblue];
56 -> 1101 [arrowhead = none ];
1101 -> 57;

1102 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
57 -> 1102 [arrowhead = none ];
1102 -> 58;

1103 [label="EVAL with clause\nzero(0).\nand substitution\nT26 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
58 -> 1103 [arrowhead = none ];
1103 -> 59;

1104 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
58 -> 1104 [arrowhead = none ];
1104 -> 60;

1105 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
59 -> 1105 [arrowhead = none ];
1105 -> 61;

1106 [label="EVAL with clause\nno(X76).\nand substitution\nT26 -> T27\nX76 -> zero(T27)", fontsize=14, style = filled, fillcolor = lightblue];
60 -> 1106 [arrowhead = none ];
1106 -> 64;

1107 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
61 -> 1107 [arrowhead = none ];
1107 -> 62;

1108 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
62 -> 1108 [arrowhead = none ];
1108 -> 63;

1109 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
64 -> 1109 [arrowhead = none ];
1109 -> 65;

1110 [label="EVAL with clause\nno(X78) :- ','(X78, ','(!, failure(a))).\nand substitution\nX78 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
65 -> 1110 [arrowhead = none ];
1110 -> 66;

1111 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
66 -> 1111 [arrowhead = none ];
1111 -> 67;

1112 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
67 -> 1112 [arrowhead = none ];
1112 -> 68;

1113 [label="EVAL with clause\nno(X80).\nand substitution\nX80 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
68 -> 1113 [arrowhead = none ];
1113 -> 69;

1114 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
69 -> 1114 [arrowhead = none ];
1114 -> 70;

1115 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T27), zero(0))", fontsize=14, style = filled, fillcolor = white];
70 -> 1115 [arrowhead = none ];
1115 -> 71;

1116 [label="EVAL with clause\np(s(X82), X82).\nand substitution\nX82 -> T28\nT27 -> s(T28)\nX71 -> T28", fontsize=14, style = filled, fillcolor = lightblue];
71 -> 1116 [arrowhead = none ];
1116 -> 72;

1117 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
71 -> 1117 [arrowhead = none ];
1117 -> 73;

1118 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
72 -> 1118 [arrowhead = none ];
1118 -> 74;

1119 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
74 -> 1119 [arrowhead = none ];
1119 -> 75;

1120 [label="EVAL with clause\np(s(X84), X84).\nand substitution\nX84 -> 0\nX72 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
75 -> 1120 [arrowhead = none ];
1120 -> 76;

1121 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
76 -> 1121 [arrowhead = none ];
1121 -> 77;

1122 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
77 -> 1122 [arrowhead = none ];
1122 -> 78;

1123 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
78 -> 1123 [arrowhead = none ];
1123 -> 79;

1124 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
78 -> 1124 [arrowhead = none ];
1124 -> 80;

1125 [label="EVAL with clause\nquot(X93, 0, s(X94), s(X95)) :- quot(X93, s(X94), s(X94), X95).\nand substitution\nT28 -> T29\nX93 -> T29\nX94 -> 0\nX95 -> T31\nT25 -> s(T31)\nT30 -> T31", fontsize=14, style = filled, fillcolor = lightblue];
79 -> 1125 [arrowhead = none ];
1125 -> 81;

1126 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
79 -> 1126 [arrowhead = none ];
1126 -> 82;

1127 [label="EVAL with clause\nquot(X100, X101, X102, X103) :- ','(no(zero(X100)), ','(no(zero(X101)), ','(p(X100, X104), ','(p(X101, X105), quot(X104, X105, X102, X103))))).\nand substitution\nT28 -> T32\nX100 -> T32\nX101 -> 0\nX102 -> s(0)\nT25 -> T34\nX103 -> T34\nT33 -> T34", fontsize=14, style = filled, fillcolor = lightblue];
80 -> 1127 [arrowhead = none ];
1127 -> 83;

1128 [label="INSTANCE with matching:\nT20 -> T29\nT22 -> T31", fontsize=14, style = filled, fillcolor = lightgrey];
81 -> 1128 [arrowhead = none , style=dashed];
1128 -> 46[style=dashed];

1129 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
83 -> 1129 [arrowhead = none ];
1129 -> 84;

1130 [label="EVAL with clause\nno(X107) :- ','(X107, ','(!, failure(a))).\nand substitution\nT32 -> T35\nX107 -> zero(T35)", fontsize=14, style = filled, fillcolor = lightblue];
84 -> 1130 [arrowhead = none ];
1130 -> 85;

1131 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
85 -> 1131 [arrowhead = none ];
1131 -> 86;

1132 [label="EVAL with clause\nzero(0).\nand substitution\nT35 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
86 -> 1132 [arrowhead = none ];
1132 -> 87;

1133 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
86 -> 1133 [arrowhead = none ];
1133 -> 88;

1134 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
87 -> 1134 [arrowhead = none ];
1134 -> 89;

1135 [label="EVAL with clause\nno(X109).\nand substitution\nT35 -> T36\nX109 -> zero(T36)", fontsize=14, style = filled, fillcolor = lightblue];
88 -> 1135 [arrowhead = none ];
1135 -> 92;

1136 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
89 -> 1136 [arrowhead = none ];
1136 -> 90;

1137 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
90 -> 1137 [arrowhead = none ];
1137 -> 91;

1138 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
92 -> 1138 [arrowhead = none ];
1138 -> 93;

1139 [label="EVAL with clause\nno(X111) :- ','(X111, ','(!, failure(a))).\nand substitution\nX111 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
93 -> 1139 [arrowhead = none ];
1139 -> 94;

1140 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
94 -> 1140 [arrowhead = none ];
1140 -> 95;

1141 [label="EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
95 -> 1141 [arrowhead = none ];
1141 -> 96;

1142 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
96 -> 1142 [arrowhead = none ];
1142 -> 97;

1143 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
97 -> 1143 [arrowhead = none ];
1143 -> 98;

1144 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
98 -> 1144 [arrowhead = none ];
1144 -> 99;

1145 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
100 -> 1145 [arrowhead = none ];
1145 -> 101;

1146 [label="EVAL with clause\nno(X123) :- ','(X123, ','(!, failure(a))).\nand substitution\nT37 -> T41\nX123 -> zero(T41)", fontsize=14, style = filled, fillcolor = lightblue];
101 -> 1146 [arrowhead = none ];
1146 -> 102;

1147 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
102 -> 1147 [arrowhead = none ];
1147 -> 103;

1148 [label="EVAL with clause\nzero(0).\nand substitution\nT41 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
103 -> 1148 [arrowhead = none ];
1148 -> 104;

1149 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
103 -> 1149 [arrowhead = none ];
1149 -> 105;

1150 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
104 -> 1150 [arrowhead = none ];
1150 -> 106;

1151 [label="EVAL with clause\nno(X125).\nand substitution\nT41 -> T42\nX125 -> zero(T42)", fontsize=14, style = filled, fillcolor = lightblue];
105 -> 1151 [arrowhead = none ];
1151 -> 109;

1152 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
106 -> 1152 [arrowhead = none ];
1152 -> 107;

1153 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
107 -> 1153 [arrowhead = none ];
1153 -> 108;

1154 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
109 -> 1154 [arrowhead = none ];
1154 -> 110;

1155 [label="EVAL with clause\nno(X127) :- ','(X127, ','(!, failure(a))).\nand substitution\nT38 -> T43\nX127 -> zero(T43)", fontsize=14, style = filled, fillcolor = lightblue];
110 -> 1155 [arrowhead = none ];
1155 -> 111;

1156 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
111 -> 1156 [arrowhead = none ];
1156 -> 112;

1157 [label="EVAL with clause\nzero(0).\nand substitution\nT43 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
112 -> 1157 [arrowhead = none ];
1157 -> 113;

1158 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
112 -> 1158 [arrowhead = none ];
1158 -> 114;

1159 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
113 -> 1159 [arrowhead = none ];
1159 -> 115;

1160 [label="EVAL with clause\nno(X129).\nand substitution\nT43 -> T44\nX129 -> zero(T44)", fontsize=14, style = filled, fillcolor = lightblue];
114 -> 1160 [arrowhead = none ];
1160 -> 118;

1161 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
115 -> 1161 [arrowhead = none ];
1161 -> 116;

1162 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
116 -> 1162 [arrowhead = none ];
1162 -> 117;

1163 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
118 -> 1163 [arrowhead = none ];
1163 -> 119;

1164 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T42), zero(0))", fontsize=14, style = filled, fillcolor = white];
119 -> 1164 [arrowhead = none ];
1164 -> 120;

1165 [label="EVAL with clause\np(s(X131), X131).\nand substitution\nX131 -> T45\nT42 -> s(T45)\nX120 -> T45", fontsize=14, style = filled, fillcolor = lightblue];
120 -> 1165 [arrowhead = none ];
1165 -> 121;

1166 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
120 -> 1166 [arrowhead = none ];
1166 -> 122;

1167 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
121 -> 1167 [arrowhead = none ];
1167 -> 123;

1168 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T44), zero(0))", fontsize=14, style = filled, fillcolor = white];
123 -> 1168 [arrowhead = none ];
1168 -> 124;

1169 [label="EVAL with clause\np(s(X133), X133).\nand substitution\nX133 -> T46\nT44 -> s(T46)\nX121 -> T46", fontsize=14, style = filled, fillcolor = lightblue];
124 -> 1169 [arrowhead = none ];
1169 -> 125;

1170 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
124 -> 1170 [arrowhead = none ];
1170 -> 126;

1171 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
125 -> 1171 [arrowhead = none ];
1171 -> 127;

1172 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
127 -> 1172 [arrowhead = none ];
1172 -> 128;

1173 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
127 -> 1173 [arrowhead = none ];
1173 -> 129;

1174 [label="EVAL with clause\nquot(0, s(X138), s(X139), 0).\nand substitution\nT45 -> 0\nX138 -> T47\nT46 -> s(T47)\nX139 -> s(s(T47))\nT40 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
128 -> 1174 [arrowhead = none ];
1174 -> 130;

1175 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
128 -> 1175 [arrowhead = none ];
1175 -> 131;

1176 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
129 -> 1176 [arrowhead = none ];
1176 -> 133;

1177 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
129 -> 1177 [arrowhead = none ];
1177 -> 134;

1178 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
130 -> 1178 [arrowhead = none ];
1178 -> 132;

1179 [label="EVAL with clause\nquot(X146, 0, s(X147), s(X148)) :- quot(X146, s(X147), s(X147), X148).\nand substitution\nT45 -> T48\nX146 -> T48\nT46 -> 0\nX147 -> s(0)\nX148 -> T50\nT40 -> s(T50)\nT49 -> T50", fontsize=14, style = filled, fillcolor = lightblue];
133 -> 1179 [arrowhead = none ];
1179 -> 135;

1180 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
133 -> 1180 [arrowhead = none ];
1180 -> 136;

1181 [label="EVAL with clause\nquot(X242, X243, X244, X245) :- ','(no(zero(X242)), ','(no(zero(X243)), ','(p(X242, X246), ','(p(X243, X247), quot(X246, X247, X244, X245))))).\nand substitution\nT45 -> T71\nX242 -> T71\nT46 -> T72\nX243 -> T72\nX244 -> s(s(T72))\nT40 -> T74\nX245 -> T74\nT73 -> T74", fontsize=14, style = filled, fillcolor = lightblue];
134 -> 1181 [arrowhead = none ];
1181 -> 218;

1182 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
135 -> 1182 [arrowhead = none ];
1182 -> 137;

1183 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
137 -> 1183 [arrowhead = none ];
1183 -> 138;

1184 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
137 -> 1184 [arrowhead = none ];
1184 -> 139;

1185 [label="EVAL with clause\nquot(0, s(X153), s(X154), 0).\nand substitution\nT48 -> 0\nX153 -> s(0)\nX154 -> s(0)\nT50 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
138 -> 1185 [arrowhead = none ];
1185 -> 140;

1186 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
138 -> 1186 [arrowhead = none ];
1186 -> 141;

1187 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
139 -> 1187 [arrowhead = none ];
1187 -> 143;

1188 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
140 -> 1188 [arrowhead = none ];
1188 -> 142;

1189 [label="EVAL with clause\nquot(X162, X163, X164, X165) :- ','(no(zero(X162)), ','(no(zero(X163)), ','(p(X162, X166), ','(p(X163, X167), quot(X166, X167, X164, X165))))).\nand substitution\nT48 -> T51\nX162 -> T51\nX163 -> s(s(0))\nX164 -> s(s(0))\nT50 -> T53\nX165 -> T53\nT52 -> T53", fontsize=14, style = filled, fillcolor = lightblue];
143 -> 1189 [arrowhead = none ];
1189 -> 144;

1190 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
144 -> 1190 [arrowhead = none ];
1190 -> 145;

1191 [label="EVAL with clause\nno(X169) :- ','(X169, ','(!, failure(a))).\nand substitution\nT51 -> T54\nX169 -> zero(T54)", fontsize=14, style = filled, fillcolor = lightblue];
145 -> 1191 [arrowhead = none ];
1191 -> 146;

1192 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
146 -> 1192 [arrowhead = none ];
1192 -> 147;

1193 [label="EVAL with clause\nzero(0).\nand substitution\nT54 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
147 -> 1193 [arrowhead = none ];
1193 -> 148;

1194 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
147 -> 1194 [arrowhead = none ];
1194 -> 149;

1195 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
148 -> 1195 [arrowhead = none ];
1195 -> 150;

1196 [label="EVAL with clause\nno(X171).\nand substitution\nT54 -> T55\nX171 -> zero(T55)", fontsize=14, style = filled, fillcolor = lightblue];
149 -> 1196 [arrowhead = none ];
1196 -> 153;

1197 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
150 -> 1197 [arrowhead = none ];
1197 -> 151;

1198 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
151 -> 1198 [arrowhead = none ];
1198 -> 152;

1199 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
153 -> 1199 [arrowhead = none ];
1199 -> 154;

1200 [label="EVAL with clause\nno(X173) :- ','(X173, ','(!, failure(a))).\nand substitution\nX173 -> zero(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
154 -> 1200 [arrowhead = none ];
1200 -> 155;

1201 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
155 -> 1201 [arrowhead = none ];
1201 -> 156;

1202 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
156 -> 1202 [arrowhead = none ];
1202 -> 157;

1203 [label="EVAL with clause\nno(X175).\nand substitution\nX175 -> zero(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
157 -> 1203 [arrowhead = none ];
1203 -> 158;

1204 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
158 -> 1204 [arrowhead = none ];
1204 -> 159;

1205 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T55), zero(0))", fontsize=14, style = filled, fillcolor = white];
159 -> 1205 [arrowhead = none ];
1205 -> 160;

1206 [label="EVAL with clause\np(s(X177), X177).\nand substitution\nX177 -> T56\nT55 -> s(T56)\nX166 -> T56", fontsize=14, style = filled, fillcolor = lightblue];
160 -> 1206 [arrowhead = none ];
1206 -> 161;

1207 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
160 -> 1207 [arrowhead = none ];
1207 -> 162;

1208 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
161 -> 1208 [arrowhead = none ];
1208 -> 163;

1209 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
163 -> 1209 [arrowhead = none ];
1209 -> 164;

1210 [label="EVAL with clause\np(s(X179), X179).\nand substitution\nX179 -> s(0)\nX167 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
164 -> 1210 [arrowhead = none ];
1210 -> 165;

1211 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
165 -> 1211 [arrowhead = none ];
1211 -> 166;

1212 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
166 -> 1212 [arrowhead = none ];
1212 -> 167;

1213 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
166 -> 1213 [arrowhead = none ];
1213 -> 168;

1214 [label="EVAL with clause\nquot(0, s(X184), s(X185), 0).\nand substitution\nT56 -> 0\nX184 -> 0\nX185 -> s(0)\nT53 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
167 -> 1214 [arrowhead = none ];
1214 -> 169;

1215 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
167 -> 1215 [arrowhead = none ];
1215 -> 170;

1216 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
168 -> 1216 [arrowhead = none ];
1216 -> 172;

1217 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
169 -> 1217 [arrowhead = none ];
1217 -> 171;

1218 [label="EVAL with clause\nquot(X193, X194, X195, X196) :- ','(no(zero(X193)), ','(no(zero(X194)), ','(p(X193, X197), ','(p(X194, X198), quot(X197, X198, X195, X196))))).\nand substitution\nT56 -> T57\nX193 -> T57\nX194 -> s(0)\nX195 -> s(s(0))\nT53 -> T59\nX196 -> T59\nT58 -> T59", fontsize=14, style = filled, fillcolor = lightblue];
172 -> 1218 [arrowhead = none ];
1218 -> 173;

1219 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
173 -> 1219 [arrowhead = none ];
1219 -> 174;

1220 [label="EVAL with clause\nno(X200) :- ','(X200, ','(!, failure(a))).\nand substitution\nT57 -> T60\nX200 -> zero(T60)", fontsize=14, style = filled, fillcolor = lightblue];
174 -> 1220 [arrowhead = none ];
1220 -> 175;

1221 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
175 -> 1221 [arrowhead = none ];
1221 -> 176;

1222 [label="EVAL with clause\nzero(0).\nand substitution\nT60 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
176 -> 1222 [arrowhead = none ];
1222 -> 177;

1223 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
176 -> 1223 [arrowhead = none ];
1223 -> 178;

1224 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
177 -> 1224 [arrowhead = none ];
1224 -> 179;

1225 [label="EVAL with clause\nno(X202).\nand substitution\nT60 -> T61\nX202 -> zero(T61)", fontsize=14, style = filled, fillcolor = lightblue];
178 -> 1225 [arrowhead = none ];
1225 -> 182;

1226 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
179 -> 1226 [arrowhead = none ];
1226 -> 180;

1227 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
180 -> 1227 [arrowhead = none ];
1227 -> 181;

1228 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
182 -> 1228 [arrowhead = none ];
1228 -> 183;

1229 [label="EVAL with clause\nno(X204) :- ','(X204, ','(!, failure(a))).\nand substitution\nX204 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
183 -> 1229 [arrowhead = none ];
1229 -> 184;

1230 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
184 -> 1230 [arrowhead = none ];
1230 -> 185;

1231 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
185 -> 1231 [arrowhead = none ];
1231 -> 186;

1232 [label="EVAL with clause\nno(X206).\nand substitution\nX206 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
186 -> 1232 [arrowhead = none ];
1232 -> 187;

1233 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
187 -> 1233 [arrowhead = none ];
1233 -> 188;

1234 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T61), zero(0))", fontsize=14, style = filled, fillcolor = white];
188 -> 1234 [arrowhead = none ];
1234 -> 189;

1235 [label="EVAL with clause\np(s(X208), X208).\nand substitution\nX208 -> T62\nT61 -> s(T62)\nX197 -> T62", fontsize=14, style = filled, fillcolor = lightblue];
189 -> 1235 [arrowhead = none ];
1235 -> 190;

1236 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
189 -> 1236 [arrowhead = none ];
1236 -> 191;

1237 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
190 -> 1237 [arrowhead = none ];
1237 -> 192;

1238 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
192 -> 1238 [arrowhead = none ];
1238 -> 193;

1239 [label="EVAL with clause\np(s(X210), X210).\nand substitution\nX210 -> 0\nX198 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
193 -> 1239 [arrowhead = none ];
1239 -> 194;

1240 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
194 -> 1240 [arrowhead = none ];
1240 -> 195;

1241 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
195 -> 1241 [arrowhead = none ];
1241 -> 196;

1242 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
196 -> 1242 [arrowhead = none ];
1242 -> 197;

1243 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
196 -> 1243 [arrowhead = none ];
1243 -> 198;

1244 [label="EVAL with clause\nquot(X219, 0, s(X220), s(X221)) :- quot(X219, s(X220), s(X220), X221).\nand substitution\nT62 -> T63\nX219 -> T63\nX220 -> s(0)\nX221 -> T65\nT59 -> s(T65)\nT64 -> T65", fontsize=14, style = filled, fillcolor = lightblue];
197 -> 1244 [arrowhead = none ];
1244 -> 199;

1245 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
197 -> 1245 [arrowhead = none ];
1245 -> 200;

1246 [label="EVAL with clause\nquot(X226, X227, X228, X229) :- ','(no(zero(X226)), ','(no(zero(X227)), ','(p(X226, X230), ','(p(X227, X231), quot(X230, X231, X228, X229))))).\nand substitution\nT62 -> T66\nX226 -> T66\nX227 -> 0\nX228 -> s(s(0))\nT59 -> T68\nX229 -> T68\nT67 -> T68", fontsize=14, style = filled, fillcolor = lightblue];
198 -> 1246 [arrowhead = none ];
1246 -> 201;

1247 [label="INSTANCE with matching:\nT48 -> T63\nT50 -> T65", fontsize=14, style = filled, fillcolor = lightgrey];
199 -> 1247 [arrowhead = none , style=dashed];
1247 -> 135[style=dashed];

1248 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
201 -> 1248 [arrowhead = none ];
1248 -> 202;

1249 [label="EVAL with clause\nno(X233) :- ','(X233, ','(!, failure(a))).\nand substitution\nT66 -> T69\nX233 -> zero(T69)", fontsize=14, style = filled, fillcolor = lightblue];
202 -> 1249 [arrowhead = none ];
1249 -> 203;

1250 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
203 -> 1250 [arrowhead = none ];
1250 -> 204;

1251 [label="EVAL with clause\nzero(0).\nand substitution\nT69 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
204 -> 1251 [arrowhead = none ];
1251 -> 205;

1252 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
204 -> 1252 [arrowhead = none ];
1252 -> 206;

1253 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
205 -> 1253 [arrowhead = none ];
1253 -> 207;

1254 [label="EVAL with clause\nno(X235).\nand substitution\nT69 -> T70\nX235 -> zero(T70)", fontsize=14, style = filled, fillcolor = lightblue];
206 -> 1254 [arrowhead = none ];
1254 -> 210;

1255 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
207 -> 1255 [arrowhead = none ];
1255 -> 208;

1256 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
208 -> 1256 [arrowhead = none ];
1256 -> 209;

1257 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
210 -> 1257 [arrowhead = none ];
1257 -> 211;

1258 [label="EVAL with clause\nno(X237) :- ','(X237, ','(!, failure(a))).\nand substitution\nX237 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
211 -> 1258 [arrowhead = none ];
1258 -> 212;

1259 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
212 -> 1259 [arrowhead = none ];
1259 -> 213;

1260 [label="EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
213 -> 1260 [arrowhead = none ];
1260 -> 214;

1261 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
214 -> 1261 [arrowhead = none ];
1261 -> 215;

1262 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
215 -> 1262 [arrowhead = none ];
1262 -> 216;

1263 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
216 -> 1263 [arrowhead = none ];
1263 -> 217;

1264 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
218 -> 1264 [arrowhead = none ];
1264 -> 219;

1265 [label="EVAL with clause\nno(X249) :- ','(X249, ','(!, failure(a))).\nand substitution\nT71 -> T75\nX249 -> zero(T75)", fontsize=14, style = filled, fillcolor = lightblue];
219 -> 1265 [arrowhead = none ];
1265 -> 220;

1266 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
220 -> 1266 [arrowhead = none ];
1266 -> 221;

1267 [label="EVAL with clause\nzero(0).\nand substitution\nT75 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
221 -> 1267 [arrowhead = none ];
1267 -> 222;

1268 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
221 -> 1268 [arrowhead = none ];
1268 -> 223;

1269 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
222 -> 1269 [arrowhead = none ];
1269 -> 224;

1270 [label="EVAL with clause\nno(X251).\nand substitution\nT75 -> T76\nX251 -> zero(T76)", fontsize=14, style = filled, fillcolor = lightblue];
223 -> 1270 [arrowhead = none ];
1270 -> 227;

1271 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
224 -> 1271 [arrowhead = none ];
1271 -> 225;

1272 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
225 -> 1272 [arrowhead = none ];
1272 -> 226;

1273 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
227 -> 1273 [arrowhead = none ];
1273 -> 228;

1274 [label="EVAL with clause\nno(X253) :- ','(X253, ','(!, failure(a))).\nand substitution\nT72 -> T77\nX253 -> zero(T77)", fontsize=14, style = filled, fillcolor = lightblue];
228 -> 1274 [arrowhead = none ];
1274 -> 229;

1275 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
229 -> 1275 [arrowhead = none ];
1275 -> 230;

1276 [label="EVAL with clause\nzero(0).\nand substitution\nT77 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
230 -> 1276 [arrowhead = none ];
1276 -> 231;

1277 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
230 -> 1277 [arrowhead = none ];
1277 -> 232;

1278 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
231 -> 1278 [arrowhead = none ];
1278 -> 233;

1279 [label="EVAL with clause\nno(X255).\nand substitution\nT77 -> T78\nX255 -> zero(T78)", fontsize=14, style = filled, fillcolor = lightblue];
232 -> 1279 [arrowhead = none ];
1279 -> 236;

1280 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
233 -> 1280 [arrowhead = none ];
1280 -> 234;

1281 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
234 -> 1281 [arrowhead = none ];
1281 -> 235;

1282 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
236 -> 1282 [arrowhead = none ];
1282 -> 237;

1283 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T76), zero(0))", fontsize=14, style = filled, fillcolor = white];
237 -> 1283 [arrowhead = none ];
1283 -> 238;

1284 [label="EVAL with clause\np(s(X257), X257).\nand substitution\nX257 -> T79\nT76 -> s(T79)\nX246 -> T79", fontsize=14, style = filled, fillcolor = lightblue];
238 -> 1284 [arrowhead = none ];
1284 -> 239;

1285 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
238 -> 1285 [arrowhead = none ];
1285 -> 240;

1286 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
239 -> 1286 [arrowhead = none ];
1286 -> 241;

1287 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T78), zero(0))", fontsize=14, style = filled, fillcolor = white];
241 -> 1287 [arrowhead = none ];
1287 -> 242;

1288 [label="EVAL with clause\np(s(X259), X259).\nand substitution\nX259 -> T80\nT78 -> s(T80)\nX247 -> T80", fontsize=14, style = filled, fillcolor = lightblue];
242 -> 1288 [arrowhead = none ];
1288 -> 243;

1289 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
242 -> 1289 [arrowhead = none ];
1289 -> 244;

1290 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
243 -> 1290 [arrowhead = none ];
1290 -> 245;

1291 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
245 -> 1291 [arrowhead = none ];
1291 -> 246;

1292 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
245 -> 1292 [arrowhead = none ];
1292 -> 247;

1293 [label="EVAL with clause\nquot(0, s(X264), s(X265), 0).\nand substitution\nT79 -> 0\nX264 -> T81\nT80 -> s(T81)\nX265 -> s(s(s(T81)))\nT74 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
246 -> 1293 [arrowhead = none ];
1293 -> 248;

1294 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
246 -> 1294 [arrowhead = none ];
1294 -> 249;

1295 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
247 -> 1295 [arrowhead = none ];
1295 -> 251;

1296 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
247 -> 1296 [arrowhead = none ];
1296 -> 252;

1297 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
248 -> 1297 [arrowhead = none ];
1297 -> 250;

1298 [label="EVAL with clause\nquot(X272, 0, s(X273), s(X274)) :- quot(X272, s(X273), s(X273), X274).\nand substitution\nT79 -> T82\nX272 -> T82\nT80 -> 0\nX273 -> s(s(0))\nX274 -> T84\nT74 -> s(T84)\nT83 -> T84", fontsize=14, style = filled, fillcolor = lightblue];
251 -> 1298 [arrowhead = none ];
1298 -> 253;

1299 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
251 -> 1299 [arrowhead = none ];
1299 -> 254;

1300 [label="EVAL with clause\nquot(X399, X400, X401, X402) :- ','(no(zero(X399)), ','(no(zero(X400)), ','(p(X399, X403), ','(p(X400, X404), quot(X403, X404, X401, X402))))).\nand substitution\nT79 -> T111\nX399 -> T111\nT80 -> T112\nX400 -> T112\nX401 -> s(s(s(T112)))\nT74 -> T114\nX402 -> T114\nT113 -> T114", fontsize=14, style = filled, fillcolor = lightblue];
252 -> 1300 [arrowhead = none ];
1300 -> 365;

1301 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
253 -> 1301 [arrowhead = none ];
1301 -> 255;

1302 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
255 -> 1302 [arrowhead = none ];
1302 -> 256;

1303 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
255 -> 1303 [arrowhead = none ];
1303 -> 257;

1304 [label="EVAL with clause\nquot(0, s(X279), s(X280), 0).\nand substitution\nT82 -> 0\nX279 -> s(s(0))\nX280 -> s(s(0))\nT84 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
256 -> 1304 [arrowhead = none ];
1304 -> 258;

1305 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
256 -> 1305 [arrowhead = none ];
1305 -> 259;

1306 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
257 -> 1306 [arrowhead = none ];
1306 -> 261;

1307 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
258 -> 1307 [arrowhead = none ];
1307 -> 260;

1308 [label="EVAL with clause\nquot(X288, X289, X290, X291) :- ','(no(zero(X288)), ','(no(zero(X289)), ','(p(X288, X292), ','(p(X289, X293), quot(X292, X293, X290, X291))))).\nand substitution\nT82 -> T85\nX288 -> T85\nX289 -> s(s(s(0)))\nX290 -> s(s(s(0)))\nT84 -> T87\nX291 -> T87\nT86 -> T87", fontsize=14, style = filled, fillcolor = lightblue];
261 -> 1308 [arrowhead = none ];
1308 -> 262;

1309 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
262 -> 1309 [arrowhead = none ];
1309 -> 263;

1310 [label="EVAL with clause\nno(X295) :- ','(X295, ','(!, failure(a))).\nand substitution\nT85 -> T88\nX295 -> zero(T88)", fontsize=14, style = filled, fillcolor = lightblue];
263 -> 1310 [arrowhead = none ];
1310 -> 264;

1311 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
264 -> 1311 [arrowhead = none ];
1311 -> 265;

1312 [label="EVAL with clause\nzero(0).\nand substitution\nT88 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
265 -> 1312 [arrowhead = none ];
1312 -> 266;

1313 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
265 -> 1313 [arrowhead = none ];
1313 -> 267;

1314 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
266 -> 1314 [arrowhead = none ];
1314 -> 268;

1315 [label="EVAL with clause\nno(X297).\nand substitution\nT88 -> T89\nX297 -> zero(T89)", fontsize=14, style = filled, fillcolor = lightblue];
267 -> 1315 [arrowhead = none ];
1315 -> 271;

1316 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
268 -> 1316 [arrowhead = none ];
1316 -> 269;

1317 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
269 -> 1317 [arrowhead = none ];
1317 -> 270;

1318 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
271 -> 1318 [arrowhead = none ];
1318 -> 272;

1319 [label="EVAL with clause\nno(X299) :- ','(X299, ','(!, failure(a))).\nand substitution\nX299 -> zero(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
272 -> 1319 [arrowhead = none ];
1319 -> 273;

1320 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
273 -> 1320 [arrowhead = none ];
1320 -> 274;

1321 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
274 -> 1321 [arrowhead = none ];
1321 -> 275;

1322 [label="EVAL with clause\nno(X301).\nand substitution\nX301 -> zero(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
275 -> 1322 [arrowhead = none ];
1322 -> 276;

1323 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
276 -> 1323 [arrowhead = none ];
1323 -> 277;

1324 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T89), zero(0))", fontsize=14, style = filled, fillcolor = white];
277 -> 1324 [arrowhead = none ];
1324 -> 278;

1325 [label="EVAL with clause\np(s(X303), X303).\nand substitution\nX303 -> T90\nT89 -> s(T90)\nX292 -> T90", fontsize=14, style = filled, fillcolor = lightblue];
278 -> 1325 [arrowhead = none ];
1325 -> 279;

1326 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
278 -> 1326 [arrowhead = none ];
1326 -> 280;

1327 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
279 -> 1327 [arrowhead = none ];
1327 -> 281;

1328 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
281 -> 1328 [arrowhead = none ];
1328 -> 282;

1329 [label="EVAL with clause\np(s(X305), X305).\nand substitution\nX305 -> s(s(0))\nX293 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
282 -> 1329 [arrowhead = none ];
1329 -> 283;

1330 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
283 -> 1330 [arrowhead = none ];
1330 -> 284;

1331 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
284 -> 1331 [arrowhead = none ];
1331 -> 285;

1332 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
284 -> 1332 [arrowhead = none ];
1332 -> 286;

1333 [label="EVAL with clause\nquot(0, s(X310), s(X311), 0).\nand substitution\nT90 -> 0\nX310 -> s(0)\nX311 -> s(s(0))\nT87 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
285 -> 1333 [arrowhead = none ];
1333 -> 287;

1334 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
285 -> 1334 [arrowhead = none ];
1334 -> 288;

1335 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
286 -> 1335 [arrowhead = none ];
1335 -> 290;

1336 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
287 -> 1336 [arrowhead = none ];
1336 -> 289;

1337 [label="EVAL with clause\nquot(X319, X320, X321, X322) :- ','(no(zero(X319)), ','(no(zero(X320)), ','(p(X319, X323), ','(p(X320, X324), quot(X323, X324, X321, X322))))).\nand substitution\nT90 -> T91\nX319 -> T91\nX320 -> s(s(0))\nX321 -> s(s(s(0)))\nT87 -> T93\nX322 -> T93\nT92 -> T93", fontsize=14, style = filled, fillcolor = lightblue];
290 -> 1337 [arrowhead = none ];
1337 -> 291;

1338 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
291 -> 1338 [arrowhead = none ];
1338 -> 292;

1339 [label="EVAL with clause\nno(X326) :- ','(X326, ','(!, failure(a))).\nand substitution\nT91 -> T94\nX326 -> zero(T94)", fontsize=14, style = filled, fillcolor = lightblue];
292 -> 1339 [arrowhead = none ];
1339 -> 293;

1340 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
293 -> 1340 [arrowhead = none ];
1340 -> 294;

1341 [label="EVAL with clause\nzero(0).\nand substitution\nT94 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
294 -> 1341 [arrowhead = none ];
1341 -> 295;

1342 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
294 -> 1342 [arrowhead = none ];
1342 -> 296;

1343 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
295 -> 1343 [arrowhead = none ];
1343 -> 297;

1344 [label="EVAL with clause\nno(X328).\nand substitution\nT94 -> T95\nX328 -> zero(T95)", fontsize=14, style = filled, fillcolor = lightblue];
296 -> 1344 [arrowhead = none ];
1344 -> 300;

1345 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
297 -> 1345 [arrowhead = none ];
1345 -> 298;

1346 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
298 -> 1346 [arrowhead = none ];
1346 -> 299;

1347 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
300 -> 1347 [arrowhead = none ];
1347 -> 301;

1348 [label="EVAL with clause\nno(X330) :- ','(X330, ','(!, failure(a))).\nand substitution\nX330 -> zero(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
301 -> 1348 [arrowhead = none ];
1348 -> 302;

1349 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
302 -> 1349 [arrowhead = none ];
1349 -> 303;

1350 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
303 -> 1350 [arrowhead = none ];
1350 -> 304;

1351 [label="EVAL with clause\nno(X332).\nand substitution\nX332 -> zero(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
304 -> 1351 [arrowhead = none ];
1351 -> 305;

1352 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
305 -> 1352 [arrowhead = none ];
1352 -> 306;

1353 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T95), zero(0))", fontsize=14, style = filled, fillcolor = white];
306 -> 1353 [arrowhead = none ];
1353 -> 307;

1354 [label="EVAL with clause\np(s(X334), X334).\nand substitution\nX334 -> T96\nT95 -> s(T96)\nX323 -> T96", fontsize=14, style = filled, fillcolor = lightblue];
307 -> 1354 [arrowhead = none ];
1354 -> 308;

1355 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
307 -> 1355 [arrowhead = none ];
1355 -> 309;

1356 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
308 -> 1356 [arrowhead = none ];
1356 -> 310;

1357 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
310 -> 1357 [arrowhead = none ];
1357 -> 311;

1358 [label="EVAL with clause\np(s(X336), X336).\nand substitution\nX336 -> s(0)\nX324 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
311 -> 1358 [arrowhead = none ];
1358 -> 312;

1359 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
312 -> 1359 [arrowhead = none ];
1359 -> 313;

1360 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
313 -> 1360 [arrowhead = none ];
1360 -> 314;

1361 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
313 -> 1361 [arrowhead = none ];
1361 -> 315;

1362 [label="EVAL with clause\nquot(0, s(X341), s(X342), 0).\nand substitution\nT96 -> 0\nX341 -> 0\nX342 -> s(s(0))\nT93 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
314 -> 1362 [arrowhead = none ];
1362 -> 316;

1363 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
314 -> 1363 [arrowhead = none ];
1363 -> 317;

1364 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
315 -> 1364 [arrowhead = none ];
1364 -> 319;

1365 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
316 -> 1365 [arrowhead = none ];
1365 -> 318;

1366 [label="EVAL with clause\nquot(X350, X351, X352, X353) :- ','(no(zero(X350)), ','(no(zero(X351)), ','(p(X350, X354), ','(p(X351, X355), quot(X354, X355, X352, X353))))).\nand substitution\nT96 -> T97\nX350 -> T97\nX351 -> s(0)\nX352 -> s(s(s(0)))\nT93 -> T99\nX353 -> T99\nT98 -> T99", fontsize=14, style = filled, fillcolor = lightblue];
319 -> 1366 [arrowhead = none ];
1366 -> 320;

1367 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
320 -> 1367 [arrowhead = none ];
1367 -> 321;

1368 [label="EVAL with clause\nno(X357) :- ','(X357, ','(!, failure(a))).\nand substitution\nT97 -> T100\nX357 -> zero(T100)", fontsize=14, style = filled, fillcolor = lightblue];
321 -> 1368 [arrowhead = none ];
1368 -> 322;

1369 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
322 -> 1369 [arrowhead = none ];
1369 -> 323;

1370 [label="EVAL with clause\nzero(0).\nand substitution\nT100 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
323 -> 1370 [arrowhead = none ];
1370 -> 324;

1371 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
323 -> 1371 [arrowhead = none ];
1371 -> 325;

1372 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
324 -> 1372 [arrowhead = none ];
1372 -> 326;

1373 [label="EVAL with clause\nno(X359).\nand substitution\nT100 -> T101\nX359 -> zero(T101)", fontsize=14, style = filled, fillcolor = lightblue];
325 -> 1373 [arrowhead = none ];
1373 -> 329;

1374 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
326 -> 1374 [arrowhead = none ];
1374 -> 327;

1375 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
327 -> 1375 [arrowhead = none ];
1375 -> 328;

1376 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
329 -> 1376 [arrowhead = none ];
1376 -> 330;

1377 [label="EVAL with clause\nno(X361) :- ','(X361, ','(!, failure(a))).\nand substitution\nX361 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
330 -> 1377 [arrowhead = none ];
1377 -> 331;

1378 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
331 -> 1378 [arrowhead = none ];
1378 -> 332;

1379 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
332 -> 1379 [arrowhead = none ];
1379 -> 333;

1380 [label="EVAL with clause\nno(X363).\nand substitution\nX363 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
333 -> 1380 [arrowhead = none ];
1380 -> 334;

1381 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
334 -> 1381 [arrowhead = none ];
1381 -> 335;

1382 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T101), zero(0))", fontsize=14, style = filled, fillcolor = white];
335 -> 1382 [arrowhead = none ];
1382 -> 336;

1383 [label="EVAL with clause\np(s(X365), X365).\nand substitution\nX365 -> T102\nT101 -> s(T102)\nX354 -> T102", fontsize=14, style = filled, fillcolor = lightblue];
336 -> 1383 [arrowhead = none ];
1383 -> 337;

1384 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
336 -> 1384 [arrowhead = none ];
1384 -> 338;

1385 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
337 -> 1385 [arrowhead = none ];
1385 -> 339;

1386 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
339 -> 1386 [arrowhead = none ];
1386 -> 340;

1387 [label="EVAL with clause\np(s(X367), X367).\nand substitution\nX367 -> 0\nX355 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
340 -> 1387 [arrowhead = none ];
1387 -> 341;

1388 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
341 -> 1388 [arrowhead = none ];
1388 -> 342;

1389 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
342 -> 1389 [arrowhead = none ];
1389 -> 343;

1390 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
343 -> 1390 [arrowhead = none ];
1390 -> 344;

1391 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
343 -> 1391 [arrowhead = none ];
1391 -> 345;

1392 [label="EVAL with clause\nquot(X376, 0, s(X377), s(X378)) :- quot(X376, s(X377), s(X377), X378).\nand substitution\nT102 -> T103\nX376 -> T103\nX377 -> s(s(0))\nX378 -> T105\nT99 -> s(T105)\nT104 -> T105", fontsize=14, style = filled, fillcolor = lightblue];
344 -> 1392 [arrowhead = none ];
1392 -> 346;

1393 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
344 -> 1393 [arrowhead = none ];
1393 -> 347;

1394 [label="EVAL with clause\nquot(X383, X384, X385, X386) :- ','(no(zero(X383)), ','(no(zero(X384)), ','(p(X383, X387), ','(p(X384, X388), quot(X387, X388, X385, X386))))).\nand substitution\nT102 -> T106\nX383 -> T106\nX384 -> 0\nX385 -> s(s(s(0)))\nT99 -> T108\nX386 -> T108\nT107 -> T108", fontsize=14, style = filled, fillcolor = lightblue];
345 -> 1394 [arrowhead = none ];
1394 -> 348;

1395 [label="INSTANCE with matching:\nT82 -> T103\nT84 -> T105", fontsize=14, style = filled, fillcolor = lightgrey];
346 -> 1395 [arrowhead = none , style=dashed];
1395 -> 253[style=dashed];

1396 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
348 -> 1396 [arrowhead = none ];
1396 -> 349;

1397 [label="EVAL with clause\nno(X390) :- ','(X390, ','(!, failure(a))).\nand substitution\nT106 -> T109\nX390 -> zero(T109)", fontsize=14, style = filled, fillcolor = lightblue];
349 -> 1397 [arrowhead = none ];
1397 -> 350;

1398 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
350 -> 1398 [arrowhead = none ];
1398 -> 351;

1399 [label="EVAL with clause\nzero(0).\nand substitution\nT109 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
351 -> 1399 [arrowhead = none ];
1399 -> 352;

1400 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
351 -> 1400 [arrowhead = none ];
1400 -> 353;

1401 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
352 -> 1401 [arrowhead = none ];
1401 -> 354;

1402 [label="EVAL with clause\nno(X392).\nand substitution\nT109 -> T110\nX392 -> zero(T110)", fontsize=14, style = filled, fillcolor = lightblue];
353 -> 1402 [arrowhead = none ];
1402 -> 357;

1403 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
354 -> 1403 [arrowhead = none ];
1403 -> 355;

1404 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
355 -> 1404 [arrowhead = none ];
1404 -> 356;

1405 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
357 -> 1405 [arrowhead = none ];
1405 -> 358;

1406 [label="EVAL with clause\nno(X394) :- ','(X394, ','(!, failure(a))).\nand substitution\nX394 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
358 -> 1406 [arrowhead = none ];
1406 -> 359;

1407 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
359 -> 1407 [arrowhead = none ];
1407 -> 360;

1408 [label="EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
360 -> 1408 [arrowhead = none ];
1408 -> 361;

1409 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
361 -> 1409 [arrowhead = none ];
1409 -> 362;

1410 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
362 -> 1410 [arrowhead = none ];
1410 -> 363;

1411 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
363 -> 1411 [arrowhead = none ];
1411 -> 364;

1412 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
365 -> 1412 [arrowhead = none ];
1412 -> 366;

1413 [label="EVAL with clause\nno(X406) :- ','(X406, ','(!, failure(a))).\nand substitution\nT111 -> T115\nX406 -> zero(T115)", fontsize=14, style = filled, fillcolor = lightblue];
366 -> 1413 [arrowhead = none ];
1413 -> 367;

1414 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
367 -> 1414 [arrowhead = none ];
1414 -> 368;

1415 [label="EVAL with clause\nzero(0).\nand substitution\nT115 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
368 -> 1415 [arrowhead = none ];
1415 -> 369;

1416 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
368 -> 1416 [arrowhead = none ];
1416 -> 370;

1417 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
369 -> 1417 [arrowhead = none ];
1417 -> 371;

1418 [label="EVAL with clause\nno(X408).\nand substitution\nT115 -> T116\nX408 -> zero(T116)", fontsize=14, style = filled, fillcolor = lightblue];
370 -> 1418 [arrowhead = none ];
1418 -> 374;

1419 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
371 -> 1419 [arrowhead = none ];
1419 -> 372;

1420 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
372 -> 1420 [arrowhead = none ];
1420 -> 373;

1421 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
374 -> 1421 [arrowhead = none ];
1421 -> 375;

1422 [label="EVAL with clause\nno(X410) :- ','(X410, ','(!, failure(a))).\nand substitution\nT112 -> T117\nX410 -> zero(T117)", fontsize=14, style = filled, fillcolor = lightblue];
375 -> 1422 [arrowhead = none ];
1422 -> 376;

1423 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
376 -> 1423 [arrowhead = none ];
1423 -> 377;

1424 [label="EVAL with clause\nzero(0).\nand substitution\nT117 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
377 -> 1424 [arrowhead = none ];
1424 -> 378;

1425 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
377 -> 1425 [arrowhead = none ];
1425 -> 379;

1426 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
378 -> 1426 [arrowhead = none ];
1426 -> 380;

1427 [label="EVAL with clause\nno(X412).\nand substitution\nT117 -> T118\nX412 -> zero(T118)", fontsize=14, style = filled, fillcolor = lightblue];
379 -> 1427 [arrowhead = none ];
1427 -> 383;

1428 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
380 -> 1428 [arrowhead = none ];
1428 -> 381;

1429 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
381 -> 1429 [arrowhead = none ];
1429 -> 382;

1430 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
383 -> 1430 [arrowhead = none ];
1430 -> 384;

1431 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T116), zero(0))", fontsize=14, style = filled, fillcolor = white];
384 -> 1431 [arrowhead = none ];
1431 -> 385;

1432 [label="EVAL with clause\np(s(X414), X414).\nand substitution\nX414 -> T119\nT116 -> s(T119)\nX403 -> T119", fontsize=14, style = filled, fillcolor = lightblue];
385 -> 1432 [arrowhead = none ];
1432 -> 386;

1433 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
385 -> 1433 [arrowhead = none ];
1433 -> 387;

1434 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
386 -> 1434 [arrowhead = none ];
1434 -> 388;

1435 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T118), zero(0))", fontsize=14, style = filled, fillcolor = white];
388 -> 1435 [arrowhead = none ];
1435 -> 389;

1436 [label="EVAL with clause\np(s(X416), X416).\nand substitution\nX416 -> T120\nT118 -> s(T120)\nX404 -> T120", fontsize=14, style = filled, fillcolor = lightblue];
389 -> 1436 [arrowhead = none ];
1436 -> 390;

1437 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
389 -> 1437 [arrowhead = none ];
1437 -> 391;

1438 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
390 -> 1438 [arrowhead = none ];
1438 -> 392;

1439 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
392 -> 1439 [arrowhead = none ];
1439 -> 393;

1440 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
392 -> 1440 [arrowhead = none ];
1440 -> 394;

1441 [label="EVAL with clause\nquot(0, s(X421), s(X422), 0).\nand substitution\nT119 -> 0\nX421 -> T121\nT120 -> s(T121)\nX422 -> s(s(s(s(T121))))\nT114 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
393 -> 1441 [arrowhead = none ];
1441 -> 395;

1442 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
393 -> 1442 [arrowhead = none ];
1442 -> 396;

1443 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
394 -> 1443 [arrowhead = none ];
1443 -> 398;

1444 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
394 -> 1444 [arrowhead = none ];
1444 -> 399;

1445 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
395 -> 1445 [arrowhead = none ];
1445 -> 397;

1446 [label="EVAL with clause\nquot(X429, 0, s(X430), s(X431)) :- quot(X429, s(X430), s(X430), X431).\nand substitution\nT119 -> T122\nX429 -> T122\nT120 -> 0\nX430 -> s(s(s(0)))\nX431 -> T124\nT114 -> s(T124)\nT123 -> T124", fontsize=14, style = filled, fillcolor = lightblue];
398 -> 1446 [arrowhead = none ];
1446 -> 400;

1447 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
398 -> 1447 [arrowhead = none ];
1447 -> 401;

1448 [label="EVAL with clause\nquot(X587, X588, X589, X590) :- ','(no(zero(X587)), ','(no(zero(X588)), ','(p(X587, X591), ','(p(X588, X592), quot(X591, X592, X589, X590))))).\nand substitution\nT119 -> T157\nX587 -> T157\nT120 -> T158\nX588 -> T158\nX589 -> s(s(s(s(T158))))\nT114 -> T160\nX590 -> T160\nT159 -> T160", fontsize=14, style = filled, fillcolor = lightblue];
399 -> 1448 [arrowhead = none ];
1448 -> 541;

1449 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
400 -> 1449 [arrowhead = none ];
1449 -> 402;

1450 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
402 -> 1450 [arrowhead = none ];
1450 -> 403;

1451 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
402 -> 1451 [arrowhead = none ];
1451 -> 404;

1452 [label="EVAL with clause\nquot(0, s(X436), s(X437), 0).\nand substitution\nT122 -> 0\nX436 -> s(s(s(0)))\nX437 -> s(s(s(0)))\nT124 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
403 -> 1452 [arrowhead = none ];
1452 -> 405;

1453 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
403 -> 1453 [arrowhead = none ];
1453 -> 406;

1454 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
404 -> 1454 [arrowhead = none ];
1454 -> 408;

1455 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
405 -> 1455 [arrowhead = none ];
1455 -> 407;

1456 [label="EVAL with clause\nquot(X445, X446, X447, X448) :- ','(no(zero(X445)), ','(no(zero(X446)), ','(p(X445, X449), ','(p(X446, X450), quot(X449, X450, X447, X448))))).\nand substitution\nT122 -> T125\nX445 -> T125\nX446 -> s(s(s(s(0))))\nX447 -> s(s(s(s(0))))\nT124 -> T127\nX448 -> T127\nT126 -> T127", fontsize=14, style = filled, fillcolor = lightblue];
408 -> 1456 [arrowhead = none ];
1456 -> 409;

1457 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
409 -> 1457 [arrowhead = none ];
1457 -> 410;

1458 [label="EVAL with clause\nno(X452) :- ','(X452, ','(!, failure(a))).\nand substitution\nT125 -> T128\nX452 -> zero(T128)", fontsize=14, style = filled, fillcolor = lightblue];
410 -> 1458 [arrowhead = none ];
1458 -> 411;

1459 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
411 -> 1459 [arrowhead = none ];
1459 -> 412;

1460 [label="EVAL with clause\nzero(0).\nand substitution\nT128 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
412 -> 1460 [arrowhead = none ];
1460 -> 413;

1461 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
412 -> 1461 [arrowhead = none ];
1461 -> 414;

1462 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
413 -> 1462 [arrowhead = none ];
1462 -> 415;

1463 [label="EVAL with clause\nno(X454).\nand substitution\nT128 -> T129\nX454 -> zero(T129)", fontsize=14, style = filled, fillcolor = lightblue];
414 -> 1463 [arrowhead = none ];
1463 -> 418;

1464 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
415 -> 1464 [arrowhead = none ];
1464 -> 416;

1465 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
416 -> 1465 [arrowhead = none ];
1465 -> 417;

1466 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
418 -> 1466 [arrowhead = none ];
1466 -> 419;

1467 [label="EVAL with clause\nno(X456) :- ','(X456, ','(!, failure(a))).\nand substitution\nX456 -> zero(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
419 -> 1467 [arrowhead = none ];
1467 -> 420;

1468 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
420 -> 1468 [arrowhead = none ];
1468 -> 421;

1469 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
421 -> 1469 [arrowhead = none ];
1469 -> 422;

1470 [label="EVAL with clause\nno(X458).\nand substitution\nX458 -> zero(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
422 -> 1470 [arrowhead = none ];
1470 -> 423;

1471 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
423 -> 1471 [arrowhead = none ];
1471 -> 424;

1472 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T129), zero(0))", fontsize=14, style = filled, fillcolor = white];
424 -> 1472 [arrowhead = none ];
1472 -> 425;

1473 [label="EVAL with clause\np(s(X460), X460).\nand substitution\nX460 -> T130\nT129 -> s(T130)\nX449 -> T130", fontsize=14, style = filled, fillcolor = lightblue];
425 -> 1473 [arrowhead = none ];
1473 -> 426;

1474 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
425 -> 1474 [arrowhead = none ];
1474 -> 427;

1475 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
426 -> 1475 [arrowhead = none ];
1475 -> 428;

1476 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
428 -> 1476 [arrowhead = none ];
1476 -> 429;

1477 [label="EVAL with clause\np(s(X462), X462).\nand substitution\nX462 -> s(s(s(0)))\nX450 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
429 -> 1477 [arrowhead = none ];
1477 -> 430;

1478 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
430 -> 1478 [arrowhead = none ];
1478 -> 431;

1479 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
431 -> 1479 [arrowhead = none ];
1479 -> 432;

1480 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
431 -> 1480 [arrowhead = none ];
1480 -> 433;

1481 [label="EVAL with clause\nquot(0, s(X467), s(X468), 0).\nand substitution\nT130 -> 0\nX467 -> s(s(0))\nX468 -> s(s(s(0)))\nT127 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
432 -> 1481 [arrowhead = none ];
1481 -> 434;

1482 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
432 -> 1482 [arrowhead = none ];
1482 -> 435;

1483 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
433 -> 1483 [arrowhead = none ];
1483 -> 437;

1484 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
434 -> 1484 [arrowhead = none ];
1484 -> 436;

1485 [label="EVAL with clause\nquot(X476, X477, X478, X479) :- ','(no(zero(X476)), ','(no(zero(X477)), ','(p(X476, X480), ','(p(X477, X481), quot(X480, X481, X478, X479))))).\nand substitution\nT130 -> T131\nX476 -> T131\nX477 -> s(s(s(0)))\nX478 -> s(s(s(s(0))))\nT127 -> T133\nX479 -> T133\nT132 -> T133", fontsize=14, style = filled, fillcolor = lightblue];
437 -> 1485 [arrowhead = none ];
1485 -> 438;

1486 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
438 -> 1486 [arrowhead = none ];
1486 -> 439;

1487 [label="EVAL with clause\nno(X483) :- ','(X483, ','(!, failure(a))).\nand substitution\nT131 -> T134\nX483 -> zero(T134)", fontsize=14, style = filled, fillcolor = lightblue];
439 -> 1487 [arrowhead = none ];
1487 -> 440;

1488 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
440 -> 1488 [arrowhead = none ];
1488 -> 441;

1489 [label="EVAL with clause\nzero(0).\nand substitution\nT134 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
441 -> 1489 [arrowhead = none ];
1489 -> 442;

1490 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
441 -> 1490 [arrowhead = none ];
1490 -> 443;

1491 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
442 -> 1491 [arrowhead = none ];
1491 -> 444;

1492 [label="EVAL with clause\nno(X485).\nand substitution\nT134 -> T135\nX485 -> zero(T135)", fontsize=14, style = filled, fillcolor = lightblue];
443 -> 1492 [arrowhead = none ];
1492 -> 447;

1493 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
444 -> 1493 [arrowhead = none ];
1493 -> 445;

1494 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
445 -> 1494 [arrowhead = none ];
1494 -> 446;

1495 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
447 -> 1495 [arrowhead = none ];
1495 -> 448;

1496 [label="EVAL with clause\nno(X487) :- ','(X487, ','(!, failure(a))).\nand substitution\nX487 -> zero(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
448 -> 1496 [arrowhead = none ];
1496 -> 449;

1497 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
449 -> 1497 [arrowhead = none ];
1497 -> 450;

1498 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
450 -> 1498 [arrowhead = none ];
1498 -> 451;

1499 [label="EVAL with clause\nno(X489).\nand substitution\nX489 -> zero(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
451 -> 1499 [arrowhead = none ];
1499 -> 452;

1500 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
452 -> 1500 [arrowhead = none ];
1500 -> 453;

1501 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T135), zero(0))", fontsize=14, style = filled, fillcolor = white];
453 -> 1501 [arrowhead = none ];
1501 -> 454;

1502 [label="EVAL with clause\np(s(X491), X491).\nand substitution\nX491 -> T136\nT135 -> s(T136)\nX480 -> T136", fontsize=14, style = filled, fillcolor = lightblue];
454 -> 1502 [arrowhead = none ];
1502 -> 455;

1503 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
454 -> 1503 [arrowhead = none ];
1503 -> 456;

1504 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
455 -> 1504 [arrowhead = none ];
1504 -> 457;

1505 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
457 -> 1505 [arrowhead = none ];
1505 -> 458;

1506 [label="EVAL with clause\np(s(X493), X493).\nand substitution\nX493 -> s(s(0))\nX481 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
458 -> 1506 [arrowhead = none ];
1506 -> 459;

1507 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
459 -> 1507 [arrowhead = none ];
1507 -> 460;

1508 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
460 -> 1508 [arrowhead = none ];
1508 -> 461;

1509 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
460 -> 1509 [arrowhead = none ];
1509 -> 462;

1510 [label="EVAL with clause\nquot(0, s(X498), s(X499), 0).\nand substitution\nT136 -> 0\nX498 -> s(0)\nX499 -> s(s(s(0)))\nT133 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
461 -> 1510 [arrowhead = none ];
1510 -> 463;

1511 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
461 -> 1511 [arrowhead = none ];
1511 -> 464;

1512 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
462 -> 1512 [arrowhead = none ];
1512 -> 466;

1513 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
463 -> 1513 [arrowhead = none ];
1513 -> 465;

1514 [label="EVAL with clause\nquot(X507, X508, X509, X510) :- ','(no(zero(X507)), ','(no(zero(X508)), ','(p(X507, X511), ','(p(X508, X512), quot(X511, X512, X509, X510))))).\nand substitution\nT136 -> T137\nX507 -> T137\nX508 -> s(s(0))\nX509 -> s(s(s(s(0))))\nT133 -> T139\nX510 -> T139\nT138 -> T139", fontsize=14, style = filled, fillcolor = lightblue];
466 -> 1514 [arrowhead = none ];
1514 -> 467;

1515 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
467 -> 1515 [arrowhead = none ];
1515 -> 468;

1516 [label="EVAL with clause\nno(X514) :- ','(X514, ','(!, failure(a))).\nand substitution\nT137 -> T140\nX514 -> zero(T140)", fontsize=14, style = filled, fillcolor = lightblue];
468 -> 1516 [arrowhead = none ];
1516 -> 469;

1517 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
469 -> 1517 [arrowhead = none ];
1517 -> 470;

1518 [label="EVAL with clause\nzero(0).\nand substitution\nT140 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
470 -> 1518 [arrowhead = none ];
1518 -> 471;

1519 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
470 -> 1519 [arrowhead = none ];
1519 -> 472;

1520 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
471 -> 1520 [arrowhead = none ];
1520 -> 473;

1521 [label="EVAL with clause\nno(X516).\nand substitution\nT140 -> T141\nX516 -> zero(T141)", fontsize=14, style = filled, fillcolor = lightblue];
472 -> 1521 [arrowhead = none ];
1521 -> 476;

1522 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
473 -> 1522 [arrowhead = none ];
1522 -> 474;

1523 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
474 -> 1523 [arrowhead = none ];
1523 -> 475;

1524 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
476 -> 1524 [arrowhead = none ];
1524 -> 477;

1525 [label="EVAL with clause\nno(X518) :- ','(X518, ','(!, failure(a))).\nand substitution\nX518 -> zero(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
477 -> 1525 [arrowhead = none ];
1525 -> 478;

1526 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
478 -> 1526 [arrowhead = none ];
1526 -> 479;

1527 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
479 -> 1527 [arrowhead = none ];
1527 -> 480;

1528 [label="EVAL with clause\nno(X520).\nand substitution\nX520 -> zero(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
480 -> 1528 [arrowhead = none ];
1528 -> 481;

1529 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
481 -> 1529 [arrowhead = none ];
1529 -> 482;

1530 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T141), zero(0))", fontsize=14, style = filled, fillcolor = white];
482 -> 1530 [arrowhead = none ];
1530 -> 483;

1531 [label="EVAL with clause\np(s(X522), X522).\nand substitution\nX522 -> T142\nT141 -> s(T142)\nX511 -> T142", fontsize=14, style = filled, fillcolor = lightblue];
483 -> 1531 [arrowhead = none ];
1531 -> 484;

1532 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
483 -> 1532 [arrowhead = none ];
1532 -> 485;

1533 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
484 -> 1533 [arrowhead = none ];
1533 -> 486;

1534 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
486 -> 1534 [arrowhead = none ];
1534 -> 487;

1535 [label="EVAL with clause\np(s(X524), X524).\nand substitution\nX524 -> s(0)\nX512 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
487 -> 1535 [arrowhead = none ];
1535 -> 488;

1536 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
488 -> 1536 [arrowhead = none ];
1536 -> 489;

1537 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
489 -> 1537 [arrowhead = none ];
1537 -> 490;

1538 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
489 -> 1538 [arrowhead = none ];
1538 -> 491;

1539 [label="EVAL with clause\nquot(0, s(X529), s(X530), 0).\nand substitution\nT142 -> 0\nX529 -> 0\nX530 -> s(s(s(0)))\nT139 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
490 -> 1539 [arrowhead = none ];
1539 -> 492;

1540 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
490 -> 1540 [arrowhead = none ];
1540 -> 493;

1541 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
491 -> 1541 [arrowhead = none ];
1541 -> 495;

1542 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
492 -> 1542 [arrowhead = none ];
1542 -> 494;

1543 [label="EVAL with clause\nquot(X538, X539, X540, X541) :- ','(no(zero(X538)), ','(no(zero(X539)), ','(p(X538, X542), ','(p(X539, X543), quot(X542, X543, X540, X541))))).\nand substitution\nT142 -> T143\nX538 -> T143\nX539 -> s(0)\nX540 -> s(s(s(s(0))))\nT139 -> T145\nX541 -> T145\nT144 -> T145", fontsize=14, style = filled, fillcolor = lightblue];
495 -> 1543 [arrowhead = none ];
1543 -> 496;

1544 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
496 -> 1544 [arrowhead = none ];
1544 -> 497;

1545 [label="EVAL with clause\nno(X545) :- ','(X545, ','(!, failure(a))).\nand substitution\nT143 -> T146\nX545 -> zero(T146)", fontsize=14, style = filled, fillcolor = lightblue];
497 -> 1545 [arrowhead = none ];
1545 -> 498;

1546 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
498 -> 1546 [arrowhead = none ];
1546 -> 499;

1547 [label="EVAL with clause\nzero(0).\nand substitution\nT146 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
499 -> 1547 [arrowhead = none ];
1547 -> 500;

1548 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
499 -> 1548 [arrowhead = none ];
1548 -> 501;

1549 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
500 -> 1549 [arrowhead = none ];
1549 -> 502;

1550 [label="EVAL with clause\nno(X547).\nand substitution\nT146 -> T147\nX547 -> zero(T147)", fontsize=14, style = filled, fillcolor = lightblue];
501 -> 1550 [arrowhead = none ];
1550 -> 505;

1551 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
502 -> 1551 [arrowhead = none ];
1551 -> 503;

1552 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
503 -> 1552 [arrowhead = none ];
1552 -> 504;

1553 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
505 -> 1553 [arrowhead = none ];
1553 -> 506;

1554 [label="EVAL with clause\nno(X549) :- ','(X549, ','(!, failure(a))).\nand substitution\nX549 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
506 -> 1554 [arrowhead = none ];
1554 -> 507;

1555 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
507 -> 1555 [arrowhead = none ];
1555 -> 508;

1556 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
508 -> 1556 [arrowhead = none ];
1556 -> 509;

1557 [label="EVAL with clause\nno(X551).\nand substitution\nX551 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
509 -> 1557 [arrowhead = none ];
1557 -> 510;

1558 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
510 -> 1558 [arrowhead = none ];
1558 -> 511;

1559 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T147), zero(0))", fontsize=14, style = filled, fillcolor = white];
511 -> 1559 [arrowhead = none ];
1559 -> 512;

1560 [label="EVAL with clause\np(s(X553), X553).\nand substitution\nX553 -> T148\nT147 -> s(T148)\nX542 -> T148", fontsize=14, style = filled, fillcolor = lightblue];
512 -> 1560 [arrowhead = none ];
1560 -> 513;

1561 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
512 -> 1561 [arrowhead = none ];
1561 -> 514;

1562 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
513 -> 1562 [arrowhead = none ];
1562 -> 515;

1563 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
515 -> 1563 [arrowhead = none ];
1563 -> 516;

1564 [label="EVAL with clause\np(s(X555), X555).\nand substitution\nX555 -> 0\nX543 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
516 -> 1564 [arrowhead = none ];
1564 -> 517;

1565 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
517 -> 1565 [arrowhead = none ];
1565 -> 518;

1566 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
518 -> 1566 [arrowhead = none ];
1566 -> 519;

1567 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
519 -> 1567 [arrowhead = none ];
1567 -> 520;

1568 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
519 -> 1568 [arrowhead = none ];
1568 -> 521;

1569 [label="EVAL with clause\nquot(X564, 0, s(X565), s(X566)) :- quot(X564, s(X565), s(X565), X566).\nand substitution\nT148 -> T149\nX564 -> T149\nX565 -> s(s(s(0)))\nX566 -> T151\nT145 -> s(T151)\nT150 -> T151", fontsize=14, style = filled, fillcolor = lightblue];
520 -> 1569 [arrowhead = none ];
1569 -> 522;

1570 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
520 -> 1570 [arrowhead = none ];
1570 -> 523;

1571 [label="EVAL with clause\nquot(X571, X572, X573, X574) :- ','(no(zero(X571)), ','(no(zero(X572)), ','(p(X571, X575), ','(p(X572, X576), quot(X575, X576, X573, X574))))).\nand substitution\nT148 -> T152\nX571 -> T152\nX572 -> 0\nX573 -> s(s(s(s(0))))\nT145 -> T154\nX574 -> T154\nT153 -> T154", fontsize=14, style = filled, fillcolor = lightblue];
521 -> 1571 [arrowhead = none ];
1571 -> 524;

1572 [label="INSTANCE with matching:\nT122 -> T149\nT124 -> T151", fontsize=14, style = filled, fillcolor = lightgrey];
522 -> 1572 [arrowhead = none , style=dashed];
1572 -> 400[style=dashed];

1573 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
524 -> 1573 [arrowhead = none ];
1573 -> 525;

1574 [label="EVAL with clause\nno(X578) :- ','(X578, ','(!, failure(a))).\nand substitution\nT152 -> T155\nX578 -> zero(T155)", fontsize=14, style = filled, fillcolor = lightblue];
525 -> 1574 [arrowhead = none ];
1574 -> 526;

1575 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
526 -> 1575 [arrowhead = none ];
1575 -> 527;

1576 [label="EVAL with clause\nzero(0).\nand substitution\nT155 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
527 -> 1576 [arrowhead = none ];
1576 -> 528;

1577 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
527 -> 1577 [arrowhead = none ];
1577 -> 529;

1578 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
528 -> 1578 [arrowhead = none ];
1578 -> 530;

1579 [label="EVAL with clause\nno(X580).\nand substitution\nT155 -> T156\nX580 -> zero(T156)", fontsize=14, style = filled, fillcolor = lightblue];
529 -> 1579 [arrowhead = none ];
1579 -> 533;

1580 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
530 -> 1580 [arrowhead = none ];
1580 -> 531;

1581 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
531 -> 1581 [arrowhead = none ];
1581 -> 532;

1582 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
533 -> 1582 [arrowhead = none ];
1582 -> 534;

1583 [label="EVAL with clause\nno(X582) :- ','(X582, ','(!, failure(a))).\nand substitution\nX582 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
534 -> 1583 [arrowhead = none ];
1583 -> 535;

1584 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
535 -> 1584 [arrowhead = none ];
1584 -> 536;

1585 [label="EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
536 -> 1585 [arrowhead = none ];
1585 -> 537;

1586 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
537 -> 1586 [arrowhead = none ];
1586 -> 538;

1587 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
538 -> 1587 [arrowhead = none ];
1587 -> 539;

1588 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
539 -> 1588 [arrowhead = none ];
1588 -> 540;

1589 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
541 -> 1589 [arrowhead = none ];
1589 -> 542;

1590 [label="EVAL with clause\nno(X594) :- ','(X594, ','(!, failure(a))).\nand substitution\nT157 -> T161\nX594 -> zero(T161)", fontsize=14, style = filled, fillcolor = lightblue];
542 -> 1590 [arrowhead = none ];
1590 -> 543;

1591 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
543 -> 1591 [arrowhead = none ];
1591 -> 544;

1592 [label="EVAL with clause\nzero(0).\nand substitution\nT161 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
544 -> 1592 [arrowhead = none ];
1592 -> 545;

1593 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
544 -> 1593 [arrowhead = none ];
1593 -> 546;

1594 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
545 -> 1594 [arrowhead = none ];
1594 -> 547;

1595 [label="EVAL with clause\nno(X596).\nand substitution\nT161 -> T162\nX596 -> zero(T162)", fontsize=14, style = filled, fillcolor = lightblue];
546 -> 1595 [arrowhead = none ];
1595 -> 550;

1596 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
547 -> 1596 [arrowhead = none ];
1596 -> 548;

1597 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
548 -> 1597 [arrowhead = none ];
1597 -> 549;

1598 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
550 -> 1598 [arrowhead = none ];
1598 -> 551;

1599 [label="EVAL with clause\nno(X598) :- ','(X598, ','(!, failure(a))).\nand substitution\nT158 -> T163\nX598 -> zero(T163)", fontsize=14, style = filled, fillcolor = lightblue];
551 -> 1599 [arrowhead = none ];
1599 -> 552;

1600 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
552 -> 1600 [arrowhead = none ];
1600 -> 553;

1601 [label="EVAL with clause\nzero(0).\nand substitution\nT163 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
553 -> 1601 [arrowhead = none ];
1601 -> 554;

1602 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
553 -> 1602 [arrowhead = none ];
1602 -> 555;

1603 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
554 -> 1603 [arrowhead = none ];
1603 -> 556;

1604 [label="EVAL with clause\nno(X600).\nand substitution\nT163 -> T164\nX600 -> zero(T164)", fontsize=14, style = filled, fillcolor = lightblue];
555 -> 1604 [arrowhead = none ];
1604 -> 559;

1605 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
556 -> 1605 [arrowhead = none ];
1605 -> 557;

1606 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
557 -> 1606 [arrowhead = none ];
1606 -> 558;

1607 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
559 -> 1607 [arrowhead = none ];
1607 -> 560;

1608 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T162), zero(0))", fontsize=14, style = filled, fillcolor = white];
560 -> 1608 [arrowhead = none ];
1608 -> 561;

1609 [label="EVAL with clause\np(s(X602), X602).\nand substitution\nX602 -> T165\nT162 -> s(T165)\nX591 -> T165", fontsize=14, style = filled, fillcolor = lightblue];
561 -> 1609 [arrowhead = none ];
1609 -> 562;

1610 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
561 -> 1610 [arrowhead = none ];
1610 -> 563;

1611 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
562 -> 1611 [arrowhead = none ];
1611 -> 564;

1612 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T164), zero(0))", fontsize=14, style = filled, fillcolor = white];
564 -> 1612 [arrowhead = none ];
1612 -> 565;

1613 [label="EVAL with clause\np(s(X604), X604).\nand substitution\nX604 -> T166\nT164 -> s(T166)\nX592 -> T166", fontsize=14, style = filled, fillcolor = lightblue];
565 -> 1613 [arrowhead = none ];
1613 -> 566;

1614 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
565 -> 1614 [arrowhead = none ];
1614 -> 567;

1615 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
566 -> 1615 [arrowhead = none ];
1615 -> 568;

1616 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
568 -> 1616 [arrowhead = none ];
1616 -> 569;

1617 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
568 -> 1617 [arrowhead = none ];
1617 -> 570;

1618 [label="EVAL with clause\nquot(0, s(X609), s(X610), 0).\nand substitution\nT165 -> 0\nX609 -> T167\nT166 -> s(T167)\nX610 -> s(s(s(s(s(T167)))))\nT160 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
569 -> 1618 [arrowhead = none ];
1618 -> 571;

1619 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
569 -> 1619 [arrowhead = none ];
1619 -> 572;

1620 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
570 -> 1620 [arrowhead = none ];
1620 -> 574;

1621 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
570 -> 1621 [arrowhead = none ];
1621 -> 575;

1622 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
571 -> 1622 [arrowhead = none ];
1622 -> 573;

1623 [label="EVAL with clause\nquot(X617, 0, s(X618), s(X619)) :- quot(X617, s(X618), s(X618), X619).\nand substitution\nT165 -> T168\nX617 -> T168\nT166 -> 0\nX618 -> s(s(s(s(0))))\nX619 -> T170\nT160 -> s(T170)\nT169 -> T170", fontsize=14, style = filled, fillcolor = lightblue];
574 -> 1623 [arrowhead = none ];
1623 -> 576;

1624 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
574 -> 1624 [arrowhead = none ];
1624 -> 577;

1625 [label="EVAL with clause\nquot(X806, X807, X808, X809) :- ','(no(zero(X806)), ','(no(zero(X807)), ','(p(X806, X810), ','(p(X807, X811), quot(X810, X811, X808, X809))))).\nand substitution\nT165 -> T209\nX806 -> T209\nT166 -> T210\nX807 -> T210\nX808 -> s(s(s(s(s(T210)))))\nT160 -> T212\nX809 -> T212\nT211 -> T212", fontsize=14, style = filled, fillcolor = lightblue];
575 -> 1625 [arrowhead = none ];
1625 -> 746;

1626 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
576 -> 1626 [arrowhead = none ];
1626 -> 578;

1627 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
578 -> 1627 [arrowhead = none ];
1627 -> 579;

1628 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
578 -> 1628 [arrowhead = none ];
1628 -> 580;

1629 [label="EVAL with clause\nquot(0, s(X624), s(X625), 0).\nand substitution\nT168 -> 0\nX624 -> s(s(s(s(0))))\nX625 -> s(s(s(s(0))))\nT170 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
579 -> 1629 [arrowhead = none ];
1629 -> 581;

1630 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
579 -> 1630 [arrowhead = none ];
1630 -> 582;

1631 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
580 -> 1631 [arrowhead = none ];
1631 -> 584;

1632 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
581 -> 1632 [arrowhead = none ];
1632 -> 583;

1633 [label="EVAL with clause\nquot(X633, X634, X635, X636) :- ','(no(zero(X633)), ','(no(zero(X634)), ','(p(X633, X637), ','(p(X634, X638), quot(X637, X638, X635, X636))))).\nand substitution\nT168 -> T171\nX633 -> T171\nX634 -> s(s(s(s(s(0)))))\nX635 -> s(s(s(s(s(0)))))\nT170 -> T173\nX636 -> T173\nT172 -> T173", fontsize=14, style = filled, fillcolor = lightblue];
584 -> 1633 [arrowhead = none ];
1633 -> 585;

1634 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
585 -> 1634 [arrowhead = none ];
1634 -> 586;

1635 [label="EVAL with clause\nno(X640) :- ','(X640, ','(!, failure(a))).\nand substitution\nT171 -> T174\nX640 -> zero(T174)", fontsize=14, style = filled, fillcolor = lightblue];
586 -> 1635 [arrowhead = none ];
1635 -> 587;

1636 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
587 -> 1636 [arrowhead = none ];
1636 -> 588;

1637 [label="EVAL with clause\nzero(0).\nand substitution\nT174 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
588 -> 1637 [arrowhead = none ];
1637 -> 589;

1638 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
588 -> 1638 [arrowhead = none ];
1638 -> 590;

1639 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
589 -> 1639 [arrowhead = none ];
1639 -> 591;

1640 [label="EVAL with clause\nno(X642).\nand substitution\nT174 -> T175\nX642 -> zero(T175)", fontsize=14, style = filled, fillcolor = lightblue];
590 -> 1640 [arrowhead = none ];
1640 -> 594;

1641 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
591 -> 1641 [arrowhead = none ];
1641 -> 592;

1642 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
592 -> 1642 [arrowhead = none ];
1642 -> 593;

1643 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
594 -> 1643 [arrowhead = none ];
1643 -> 595;

1644 [label="EVAL with clause\nno(X644) :- ','(X644, ','(!, failure(a))).\nand substitution\nX644 -> zero(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
595 -> 1644 [arrowhead = none ];
1644 -> 596;

1645 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
596 -> 1645 [arrowhead = none ];
1645 -> 597;

1646 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
597 -> 1646 [arrowhead = none ];
1646 -> 598;

1647 [label="EVAL with clause\nno(X646).\nand substitution\nX646 -> zero(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
598 -> 1647 [arrowhead = none ];
1647 -> 599;

1648 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
599 -> 1648 [arrowhead = none ];
1648 -> 600;

1649 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T175), zero(0))", fontsize=14, style = filled, fillcolor = white];
600 -> 1649 [arrowhead = none ];
1649 -> 601;

1650 [label="EVAL with clause\np(s(X648), X648).\nand substitution\nX648 -> T176\nT175 -> s(T176)\nX637 -> T176", fontsize=14, style = filled, fillcolor = lightblue];
601 -> 1650 [arrowhead = none ];
1650 -> 602;

1651 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
601 -> 1651 [arrowhead = none ];
1651 -> 603;

1652 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
602 -> 1652 [arrowhead = none ];
1652 -> 604;

1653 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
604 -> 1653 [arrowhead = none ];
1653 -> 605;

1654 [label="EVAL with clause\np(s(X650), X650).\nand substitution\nX650 -> s(s(s(s(0))))\nX638 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
605 -> 1654 [arrowhead = none ];
1654 -> 606;

1655 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
606 -> 1655 [arrowhead = none ];
1655 -> 607;

1656 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
607 -> 1656 [arrowhead = none ];
1656 -> 608;

1657 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
607 -> 1657 [arrowhead = none ];
1657 -> 609;

1658 [label="EVAL with clause\nquot(0, s(X655), s(X656), 0).\nand substitution\nT176 -> 0\nX655 -> s(s(s(0)))\nX656 -> s(s(s(s(0))))\nT173 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
608 -> 1658 [arrowhead = none ];
1658 -> 610;

1659 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
608 -> 1659 [arrowhead = none ];
1659 -> 611;

1660 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
609 -> 1660 [arrowhead = none ];
1660 -> 613;

1661 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
610 -> 1661 [arrowhead = none ];
1661 -> 612;

1662 [label="EVAL with clause\nquot(X664, X665, X666, X667) :- ','(no(zero(X664)), ','(no(zero(X665)), ','(p(X664, X668), ','(p(X665, X669), quot(X668, X669, X666, X667))))).\nand substitution\nT176 -> T177\nX664 -> T177\nX665 -> s(s(s(s(0))))\nX666 -> s(s(s(s(s(0)))))\nT173 -> T179\nX667 -> T179\nT178 -> T179", fontsize=14, style = filled, fillcolor = lightblue];
613 -> 1662 [arrowhead = none ];
1662 -> 614;

1663 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
614 -> 1663 [arrowhead = none ];
1663 -> 615;

1664 [label="EVAL with clause\nno(X671) :- ','(X671, ','(!, failure(a))).\nand substitution\nT177 -> T180\nX671 -> zero(T180)", fontsize=14, style = filled, fillcolor = lightblue];
615 -> 1664 [arrowhead = none ];
1664 -> 616;

1665 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
616 -> 1665 [arrowhead = none ];
1665 -> 617;

1666 [label="EVAL with clause\nzero(0).\nand substitution\nT180 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
617 -> 1666 [arrowhead = none ];
1666 -> 618;

1667 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
617 -> 1667 [arrowhead = none ];
1667 -> 619;

1668 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
618 -> 1668 [arrowhead = none ];
1668 -> 620;

1669 [label="EVAL with clause\nno(X673).\nand substitution\nT180 -> T181\nX673 -> zero(T181)", fontsize=14, style = filled, fillcolor = lightblue];
619 -> 1669 [arrowhead = none ];
1669 -> 623;

1670 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
620 -> 1670 [arrowhead = none ];
1670 -> 621;

1671 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
621 -> 1671 [arrowhead = none ];
1671 -> 622;

1672 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
623 -> 1672 [arrowhead = none ];
1672 -> 624;

1673 [label="EVAL with clause\nno(X675) :- ','(X675, ','(!, failure(a))).\nand substitution\nX675 -> zero(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
624 -> 1673 [arrowhead = none ];
1673 -> 625;

1674 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
625 -> 1674 [arrowhead = none ];
1674 -> 626;

1675 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
626 -> 1675 [arrowhead = none ];
1675 -> 627;

1676 [label="EVAL with clause\nno(X677).\nand substitution\nX677 -> zero(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
627 -> 1676 [arrowhead = none ];
1676 -> 628;

1677 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
628 -> 1677 [arrowhead = none ];
1677 -> 629;

1678 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T181), zero(0))", fontsize=14, style = filled, fillcolor = white];
629 -> 1678 [arrowhead = none ];
1678 -> 630;

1679 [label="EVAL with clause\np(s(X679), X679).\nand substitution\nX679 -> T182\nT181 -> s(T182)\nX668 -> T182", fontsize=14, style = filled, fillcolor = lightblue];
630 -> 1679 [arrowhead = none ];
1679 -> 631;

1680 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
630 -> 1680 [arrowhead = none ];
1680 -> 632;

1681 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
631 -> 1681 [arrowhead = none ];
1681 -> 633;

1682 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
633 -> 1682 [arrowhead = none ];
1682 -> 634;

1683 [label="EVAL with clause\np(s(X681), X681).\nand substitution\nX681 -> s(s(s(0)))\nX669 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
634 -> 1683 [arrowhead = none ];
1683 -> 635;

1684 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
635 -> 1684 [arrowhead = none ];
1684 -> 636;

1685 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
636 -> 1685 [arrowhead = none ];
1685 -> 637;

1686 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
636 -> 1686 [arrowhead = none ];
1686 -> 638;

1687 [label="EVAL with clause\nquot(0, s(X686), s(X687), 0).\nand substitution\nT182 -> 0\nX686 -> s(s(0))\nX687 -> s(s(s(s(0))))\nT179 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
637 -> 1687 [arrowhead = none ];
1687 -> 639;

1688 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
637 -> 1688 [arrowhead = none ];
1688 -> 640;

1689 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
638 -> 1689 [arrowhead = none ];
1689 -> 642;

1690 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
639 -> 1690 [arrowhead = none ];
1690 -> 641;

1691 [label="EVAL with clause\nquot(X695, X696, X697, X698) :- ','(no(zero(X695)), ','(no(zero(X696)), ','(p(X695, X699), ','(p(X696, X700), quot(X699, X700, X697, X698))))).\nand substitution\nT182 -> T183\nX695 -> T183\nX696 -> s(s(s(0)))\nX697 -> s(s(s(s(s(0)))))\nT179 -> T185\nX698 -> T185\nT184 -> T185", fontsize=14, style = filled, fillcolor = lightblue];
642 -> 1691 [arrowhead = none ];
1691 -> 643;

1692 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
643 -> 1692 [arrowhead = none ];
1692 -> 644;

1693 [label="EVAL with clause\nno(X702) :- ','(X702, ','(!, failure(a))).\nand substitution\nT183 -> T186\nX702 -> zero(T186)", fontsize=14, style = filled, fillcolor = lightblue];
644 -> 1693 [arrowhead = none ];
1693 -> 645;

1694 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
645 -> 1694 [arrowhead = none ];
1694 -> 646;

1695 [label="EVAL with clause\nzero(0).\nand substitution\nT186 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
646 -> 1695 [arrowhead = none ];
1695 -> 647;

1696 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
646 -> 1696 [arrowhead = none ];
1696 -> 648;

1697 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
647 -> 1697 [arrowhead = none ];
1697 -> 649;

1698 [label="EVAL with clause\nno(X704).\nand substitution\nT186 -> T187\nX704 -> zero(T187)", fontsize=14, style = filled, fillcolor = lightblue];
648 -> 1698 [arrowhead = none ];
1698 -> 652;

1699 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
649 -> 1699 [arrowhead = none ];
1699 -> 650;

1700 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
650 -> 1700 [arrowhead = none ];
1700 -> 651;

1701 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
652 -> 1701 [arrowhead = none ];
1701 -> 653;

1702 [label="EVAL with clause\nno(X706) :- ','(X706, ','(!, failure(a))).\nand substitution\nX706 -> zero(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
653 -> 1702 [arrowhead = none ];
1702 -> 654;

1703 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
654 -> 1703 [arrowhead = none ];
1703 -> 655;

1704 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
655 -> 1704 [arrowhead = none ];
1704 -> 656;

1705 [label="EVAL with clause\nno(X708).\nand substitution\nX708 -> zero(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
656 -> 1705 [arrowhead = none ];
1705 -> 657;

1706 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
657 -> 1706 [arrowhead = none ];
1706 -> 658;

1707 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T187), zero(0))", fontsize=14, style = filled, fillcolor = white];
658 -> 1707 [arrowhead = none ];
1707 -> 659;

1708 [label="EVAL with clause\np(s(X710), X710).\nand substitution\nX710 -> T188\nT187 -> s(T188)\nX699 -> T188", fontsize=14, style = filled, fillcolor = lightblue];
659 -> 1708 [arrowhead = none ];
1708 -> 660;

1709 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
659 -> 1709 [arrowhead = none ];
1709 -> 661;

1710 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
660 -> 1710 [arrowhead = none ];
1710 -> 662;

1711 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
662 -> 1711 [arrowhead = none ];
1711 -> 663;

1712 [label="EVAL with clause\np(s(X712), X712).\nand substitution\nX712 -> s(s(0))\nX700 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
663 -> 1712 [arrowhead = none ];
1712 -> 664;

1713 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
664 -> 1713 [arrowhead = none ];
1713 -> 665;

1714 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
665 -> 1714 [arrowhead = none ];
1714 -> 666;

1715 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
665 -> 1715 [arrowhead = none ];
1715 -> 667;

1716 [label="EVAL with clause\nquot(0, s(X717), s(X718), 0).\nand substitution\nT188 -> 0\nX717 -> s(0)\nX718 -> s(s(s(s(0))))\nT185 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
666 -> 1716 [arrowhead = none ];
1716 -> 668;

1717 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
666 -> 1717 [arrowhead = none ];
1717 -> 669;

1718 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
667 -> 1718 [arrowhead = none ];
1718 -> 671;

1719 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
668 -> 1719 [arrowhead = none ];
1719 -> 670;

1720 [label="EVAL with clause\nquot(X726, X727, X728, X729) :- ','(no(zero(X726)), ','(no(zero(X727)), ','(p(X726, X730), ','(p(X727, X731), quot(X730, X731, X728, X729))))).\nand substitution\nT188 -> T189\nX726 -> T189\nX727 -> s(s(0))\nX728 -> s(s(s(s(s(0)))))\nT185 -> T191\nX729 -> T191\nT190 -> T191", fontsize=14, style = filled, fillcolor = lightblue];
671 -> 1720 [arrowhead = none ];
1720 -> 672;

1721 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
672 -> 1721 [arrowhead = none ];
1721 -> 673;

1722 [label="EVAL with clause\nno(X733) :- ','(X733, ','(!, failure(a))).\nand substitution\nT189 -> T192\nX733 -> zero(T192)", fontsize=14, style = filled, fillcolor = lightblue];
673 -> 1722 [arrowhead = none ];
1722 -> 674;

1723 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
674 -> 1723 [arrowhead = none ];
1723 -> 675;

1724 [label="EVAL with clause\nzero(0).\nand substitution\nT192 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
675 -> 1724 [arrowhead = none ];
1724 -> 676;

1725 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
675 -> 1725 [arrowhead = none ];
1725 -> 677;

1726 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
676 -> 1726 [arrowhead = none ];
1726 -> 678;

1727 [label="EVAL with clause\nno(X735).\nand substitution\nT192 -> T193\nX735 -> zero(T193)", fontsize=14, style = filled, fillcolor = lightblue];
677 -> 1727 [arrowhead = none ];
1727 -> 681;

1728 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
678 -> 1728 [arrowhead = none ];
1728 -> 679;

1729 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
679 -> 1729 [arrowhead = none ];
1729 -> 680;

1730 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
681 -> 1730 [arrowhead = none ];
1730 -> 682;

1731 [label="EVAL with clause\nno(X737) :- ','(X737, ','(!, failure(a))).\nand substitution\nX737 -> zero(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
682 -> 1731 [arrowhead = none ];
1731 -> 683;

1732 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
683 -> 1732 [arrowhead = none ];
1732 -> 684;

1733 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
684 -> 1733 [arrowhead = none ];
1733 -> 685;

1734 [label="EVAL with clause\nno(X739).\nand substitution\nX739 -> zero(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
685 -> 1734 [arrowhead = none ];
1734 -> 686;

1735 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
686 -> 1735 [arrowhead = none ];
1735 -> 687;

1736 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T193), zero(0))", fontsize=14, style = filled, fillcolor = white];
687 -> 1736 [arrowhead = none ];
1736 -> 688;

1737 [label="EVAL with clause\np(s(X741), X741).\nand substitution\nX741 -> T194\nT193 -> s(T194)\nX730 -> T194", fontsize=14, style = filled, fillcolor = lightblue];
688 -> 1737 [arrowhead = none ];
1737 -> 689;

1738 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
688 -> 1738 [arrowhead = none ];
1738 -> 690;

1739 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
689 -> 1739 [arrowhead = none ];
1739 -> 691;

1740 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
691 -> 1740 [arrowhead = none ];
1740 -> 692;

1741 [label="EVAL with clause\np(s(X743), X743).\nand substitution\nX743 -> s(0)\nX731 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
692 -> 1741 [arrowhead = none ];
1741 -> 693;

1742 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
693 -> 1742 [arrowhead = none ];
1742 -> 694;

1743 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
694 -> 1743 [arrowhead = none ];
1743 -> 695;

1744 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
694 -> 1744 [arrowhead = none ];
1744 -> 696;

1745 [label="EVAL with clause\nquot(0, s(X748), s(X749), 0).\nand substitution\nT194 -> 0\nX748 -> 0\nX749 -> s(s(s(s(0))))\nT191 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
695 -> 1745 [arrowhead = none ];
1745 -> 697;

1746 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
695 -> 1746 [arrowhead = none ];
1746 -> 698;

1747 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
696 -> 1747 [arrowhead = none ];
1747 -> 700;

1748 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
697 -> 1748 [arrowhead = none ];
1748 -> 699;

1749 [label="EVAL with clause\nquot(X757, X758, X759, X760) :- ','(no(zero(X757)), ','(no(zero(X758)), ','(p(X757, X761), ','(p(X758, X762), quot(X761, X762, X759, X760))))).\nand substitution\nT194 -> T195\nX757 -> T195\nX758 -> s(0)\nX759 -> s(s(s(s(s(0)))))\nT191 -> T197\nX760 -> T197\nT196 -> T197", fontsize=14, style = filled, fillcolor = lightblue];
700 -> 1749 [arrowhead = none ];
1749 -> 701;

1750 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
701 -> 1750 [arrowhead = none ];
1750 -> 702;

1751 [label="EVAL with clause\nno(X764) :- ','(X764, ','(!, failure(a))).\nand substitution\nT195 -> T198\nX764 -> zero(T198)", fontsize=14, style = filled, fillcolor = lightblue];
702 -> 1751 [arrowhead = none ];
1751 -> 703;

1752 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
703 -> 1752 [arrowhead = none ];
1752 -> 704;

1753 [label="EVAL with clause\nzero(0).\nand substitution\nT198 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
704 -> 1753 [arrowhead = none ];
1753 -> 705;

1754 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
704 -> 1754 [arrowhead = none ];
1754 -> 706;

1755 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
705 -> 1755 [arrowhead = none ];
1755 -> 707;

1756 [label="EVAL with clause\nno(X766).\nand substitution\nT198 -> T199\nX766 -> zero(T199)", fontsize=14, style = filled, fillcolor = lightblue];
706 -> 1756 [arrowhead = none ];
1756 -> 710;

1757 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
707 -> 1757 [arrowhead = none ];
1757 -> 708;

1758 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
708 -> 1758 [arrowhead = none ];
1758 -> 709;

1759 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
710 -> 1759 [arrowhead = none ];
1759 -> 711;

1760 [label="EVAL with clause\nno(X768) :- ','(X768, ','(!, failure(a))).\nand substitution\nX768 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
711 -> 1760 [arrowhead = none ];
1760 -> 712;

1761 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
712 -> 1761 [arrowhead = none ];
1761 -> 713;

1762 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
713 -> 1762 [arrowhead = none ];
1762 -> 714;

1763 [label="EVAL with clause\nno(X770).\nand substitution\nX770 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
714 -> 1763 [arrowhead = none ];
1763 -> 715;

1764 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
715 -> 1764 [arrowhead = none ];
1764 -> 716;

1765 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T199), zero(0))", fontsize=14, style = filled, fillcolor = white];
716 -> 1765 [arrowhead = none ];
1765 -> 717;

1766 [label="EVAL with clause\np(s(X772), X772).\nand substitution\nX772 -> T200\nT199 -> s(T200)\nX761 -> T200", fontsize=14, style = filled, fillcolor = lightblue];
717 -> 1766 [arrowhead = none ];
1766 -> 718;

1767 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
717 -> 1767 [arrowhead = none ];
1767 -> 719;

1768 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
718 -> 1768 [arrowhead = none ];
1768 -> 720;

1769 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
720 -> 1769 [arrowhead = none ];
1769 -> 721;

1770 [label="EVAL with clause\np(s(X774), X774).\nand substitution\nX774 -> 0\nX762 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
721 -> 1770 [arrowhead = none ];
1770 -> 722;

1771 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
722 -> 1771 [arrowhead = none ];
1771 -> 723;

1772 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
723 -> 1772 [arrowhead = none ];
1772 -> 724;

1773 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
724 -> 1773 [arrowhead = none ];
1773 -> 725;

1774 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
724 -> 1774 [arrowhead = none ];
1774 -> 726;

1775 [label="EVAL with clause\nquot(X783, 0, s(X784), s(X785)) :- quot(X783, s(X784), s(X784), X785).\nand substitution\nT200 -> T201\nX783 -> T201\nX784 -> s(s(s(s(0))))\nX785 -> T203\nT197 -> s(T203)\nT202 -> T203", fontsize=14, style = filled, fillcolor = lightblue];
725 -> 1775 [arrowhead = none ];
1775 -> 727;

1776 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
725 -> 1776 [arrowhead = none ];
1776 -> 728;

1777 [label="EVAL with clause\nquot(X790, X791, X792, X793) :- ','(no(zero(X790)), ','(no(zero(X791)), ','(p(X790, X794), ','(p(X791, X795), quot(X794, X795, X792, X793))))).\nand substitution\nT200 -> T204\nX790 -> T204\nX791 -> 0\nX792 -> s(s(s(s(s(0)))))\nT197 -> T206\nX793 -> T206\nT205 -> T206", fontsize=14, style = filled, fillcolor = lightblue];
726 -> 1777 [arrowhead = none ];
1777 -> 729;

1778 [label="INSTANCE with matching:\nT168 -> T201\nT170 -> T203", fontsize=14, style = filled, fillcolor = lightgrey];
727 -> 1778 [arrowhead = none , style=dashed];
1778 -> 576[style=dashed];

1779 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
729 -> 1779 [arrowhead = none ];
1779 -> 730;

1780 [label="EVAL with clause\nno(X797) :- ','(X797, ','(!, failure(a))).\nand substitution\nT204 -> T207\nX797 -> zero(T207)", fontsize=14, style = filled, fillcolor = lightblue];
730 -> 1780 [arrowhead = none ];
1780 -> 731;

1781 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
731 -> 1781 [arrowhead = none ];
1781 -> 732;

1782 [label="EVAL with clause\nzero(0).\nand substitution\nT207 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
732 -> 1782 [arrowhead = none ];
1782 -> 733;

1783 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
732 -> 1783 [arrowhead = none ];
1783 -> 734;

1784 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
733 -> 1784 [arrowhead = none ];
1784 -> 735;

1785 [label="EVAL with clause\nno(X799).\nand substitution\nT207 -> T208\nX799 -> zero(T208)", fontsize=14, style = filled, fillcolor = lightblue];
734 -> 1785 [arrowhead = none ];
1785 -> 738;

1786 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
735 -> 1786 [arrowhead = none ];
1786 -> 736;

1787 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
736 -> 1787 [arrowhead = none ];
1787 -> 737;

1788 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
738 -> 1788 [arrowhead = none ];
1788 -> 739;

1789 [label="EVAL with clause\nno(X801) :- ','(X801, ','(!, failure(a))).\nand substitution\nX801 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
739 -> 1789 [arrowhead = none ];
1789 -> 740;

1790 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
740 -> 1790 [arrowhead = none ];
1790 -> 741;

1791 [label="EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
741 -> 1791 [arrowhead = none ];
1791 -> 742;

1792 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
742 -> 1792 [arrowhead = none ];
1792 -> 743;

1793 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
743 -> 1793 [arrowhead = none ];
1793 -> 744;

1794 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
744 -> 1794 [arrowhead = none ];
1794 -> 745;

1795 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
746 -> 1795 [arrowhead = none ];
1795 -> 747;

1796 [label="EVAL with clause\nno(X813) :- ','(X813, ','(!, failure(a))).\nand substitution\nT209 -> T213\nX813 -> zero(T213)", fontsize=14, style = filled, fillcolor = lightblue];
747 -> 1796 [arrowhead = none ];
1796 -> 748;

1797 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
748 -> 1797 [arrowhead = none ];
1797 -> 749;

1798 [label="EVAL with clause\nzero(0).\nand substitution\nT213 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
749 -> 1798 [arrowhead = none ];
1798 -> 750;

1799 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
749 -> 1799 [arrowhead = none ];
1799 -> 751;

1800 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
750 -> 1800 [arrowhead = none ];
1800 -> 752;

1801 [label="EVAL with clause\nno(X815).\nand substitution\nT213 -> T214\nX815 -> zero(T214)", fontsize=14, style = filled, fillcolor = lightblue];
751 -> 1801 [arrowhead = none ];
1801 -> 755;

1802 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
752 -> 1802 [arrowhead = none ];
1802 -> 753;

1803 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
753 -> 1803 [arrowhead = none ];
1803 -> 754;

1804 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
755 -> 1804 [arrowhead = none ];
1804 -> 756;

1805 [label="EVAL with clause\nno(X817) :- ','(X817, ','(!, failure(a))).\nand substitution\nT210 -> T215\nX817 -> zero(T215)", fontsize=14, style = filled, fillcolor = lightblue];
756 -> 1805 [arrowhead = none ];
1805 -> 757;

1806 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
757 -> 1806 [arrowhead = none ];
1806 -> 758;

1807 [label="EVAL with clause\nzero(0).\nand substitution\nT215 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
758 -> 1807 [arrowhead = none ];
1807 -> 759;

1808 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
758 -> 1808 [arrowhead = none ];
1808 -> 760;

1809 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
759 -> 1809 [arrowhead = none ];
1809 -> 761;

1810 [label="EVAL with clause\nno(X819).\nand substitution\nT215 -> T216\nX819 -> zero(T216)", fontsize=14, style = filled, fillcolor = lightblue];
760 -> 1810 [arrowhead = none ];
1810 -> 764;

1811 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
761 -> 1811 [arrowhead = none ];
1811 -> 762;

1812 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
762 -> 1812 [arrowhead = none ];
1812 -> 763;

1813 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
764 -> 1813 [arrowhead = none ];
1813 -> 765;

1814 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T214), zero(0))", fontsize=14, style = filled, fillcolor = white];
765 -> 1814 [arrowhead = none ];
1814 -> 766;

1815 [label="EVAL with clause\np(s(X821), X821).\nand substitution\nX821 -> T217\nT214 -> s(T217)\nX810 -> T217", fontsize=14, style = filled, fillcolor = lightblue];
766 -> 1815 [arrowhead = none ];
1815 -> 767;

1816 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
766 -> 1816 [arrowhead = none ];
1816 -> 768;

1817 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
767 -> 1817 [arrowhead = none ];
1817 -> 769;

1818 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T216), zero(0))", fontsize=14, style = filled, fillcolor = white];
769 -> 1818 [arrowhead = none ];
1818 -> 770;

1819 [label="EVAL with clause\np(s(X823), X823).\nand substitution\nX823 -> T218\nT216 -> s(T218)\nX811 -> T218", fontsize=14, style = filled, fillcolor = lightblue];
770 -> 1819 [arrowhead = none ];
1819 -> 771;

1820 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
770 -> 1820 [arrowhead = none ];
1820 -> 772;

1821 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
771 -> 1821 [arrowhead = none ];
1821 -> 773;

1822 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
773 -> 1822 [arrowhead = none ];
1822 -> 774;

1823 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
773 -> 1823 [arrowhead = none ];
1823 -> 775;

1824 [label="EVAL with clause\nquot(0, s(X828), s(X829), 0).\nand substitution\nT217 -> 0\nX828 -> T219\nT218 -> s(T219)\nX829 -> s(s(s(s(s(s(T219))))))\nT212 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
774 -> 1824 [arrowhead = none ];
1824 -> 776;

1825 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
774 -> 1825 [arrowhead = none ];
1825 -> 777;

1826 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
775 -> 1826 [arrowhead = none ];
1826 -> 779;

1827 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
775 -> 1827 [arrowhead = none ];
1827 -> 780;

1828 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
776 -> 1828 [arrowhead = none ];
1828 -> 778;

1829 [label="EVAL with clause\nquot(X836, 0, s(X837), s(X838)) :- quot(X836, s(X837), s(X837), X838).\nand substitution\nT217 -> T220\nX836 -> T220\nT218 -> 0\nX837 -> s(s(s(s(s(0)))))\nX838 -> T222\nT212 -> s(T222)\nT221 -> T222", fontsize=14, style = filled, fillcolor = lightblue];
779 -> 1829 [arrowhead = none ];
1829 -> 781;

1830 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
779 -> 1830 [arrowhead = none ];
1830 -> 782;

1831 [label="EVAL with clause\nquot(X1056, X1057, X1058, X1059) :- ','(no(zero(X1056)), ','(no(zero(X1057)), ','(p(X1056, X1060), ','(p(X1057, X1061), quot(X1060, X1061, X1058, X1059))))).\nand substitution\nT217 -> T267\nX1056 -> T267\nT218 -> T268\nX1057 -> T268\nX1058 -> s(s(s(s(s(s(T268))))))\nT212 -> T270\nX1059 -> T270\nT269 -> T270", fontsize=14, style = filled, fillcolor = lightblue];
780 -> 1831 [arrowhead = none ];
1831 -> 980;

1832 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
781 -> 1832 [arrowhead = none ];
1832 -> 783;

1833 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
783 -> 1833 [arrowhead = none ];
1833 -> 784;

1834 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
783 -> 1834 [arrowhead = none ];
1834 -> 785;

1835 [label="EVAL with clause\nquot(0, s(X843), s(X844), 0).\nand substitution\nT220 -> 0\nX843 -> s(s(s(s(s(0)))))\nX844 -> s(s(s(s(s(0)))))\nT222 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
784 -> 1835 [arrowhead = none ];
1835 -> 786;

1836 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
784 -> 1836 [arrowhead = none ];
1836 -> 787;

1837 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
785 -> 1837 [arrowhead = none ];
1837 -> 789;

1838 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
786 -> 1838 [arrowhead = none ];
1838 -> 788;

1839 [label="EVAL with clause\nquot(X852, X853, X854, X855) :- ','(no(zero(X852)), ','(no(zero(X853)), ','(p(X852, X856), ','(p(X853, X857), quot(X856, X857, X854, X855))))).\nand substitution\nT220 -> T223\nX852 -> T223\nX853 -> s(s(s(s(s(s(0))))))\nX854 -> s(s(s(s(s(s(0))))))\nT222 -> T225\nX855 -> T225\nT224 -> T225", fontsize=14, style = filled, fillcolor = lightblue];
789 -> 1839 [arrowhead = none ];
1839 -> 790;

1840 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
790 -> 1840 [arrowhead = none ];
1840 -> 791;

1841 [label="EVAL with clause\nno(X859) :- ','(X859, ','(!, failure(a))).\nand substitution\nT223 -> T226\nX859 -> zero(T226)", fontsize=14, style = filled, fillcolor = lightblue];
791 -> 1841 [arrowhead = none ];
1841 -> 792;

1842 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
792 -> 1842 [arrowhead = none ];
1842 -> 793;

1843 [label="EVAL with clause\nzero(0).\nand substitution\nT226 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
793 -> 1843 [arrowhead = none ];
1843 -> 794;

1844 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
793 -> 1844 [arrowhead = none ];
1844 -> 795;

1845 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
794 -> 1845 [arrowhead = none ];
1845 -> 796;

1846 [label="EVAL with clause\nno(X861).\nand substitution\nT226 -> T227\nX861 -> zero(T227)", fontsize=14, style = filled, fillcolor = lightblue];
795 -> 1846 [arrowhead = none ];
1846 -> 799;

1847 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
796 -> 1847 [arrowhead = none ];
1847 -> 797;

1848 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
797 -> 1848 [arrowhead = none ];
1848 -> 798;

1849 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
799 -> 1849 [arrowhead = none ];
1849 -> 800;

1850 [label="EVAL with clause\nno(X863) :- ','(X863, ','(!, failure(a))).\nand substitution\nX863 -> zero(s(s(s(s(s(s(0)))))))", fontsize=14, style = filled, fillcolor = lightblue];
800 -> 1850 [arrowhead = none ];
1850 -> 801;

1851 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
801 -> 1851 [arrowhead = none ];
1851 -> 802;

1852 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
802 -> 1852 [arrowhead = none ];
1852 -> 803;

1853 [label="EVAL with clause\nno(X865).\nand substitution\nX865 -> zero(s(s(s(s(s(s(0)))))))", fontsize=14, style = filled, fillcolor = lightblue];
803 -> 1853 [arrowhead = none ];
1853 -> 804;

1854 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
804 -> 1854 [arrowhead = none ];
1854 -> 805;

1855 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T227), zero(0))", fontsize=14, style = filled, fillcolor = white];
805 -> 1855 [arrowhead = none ];
1855 -> 806;

1856 [label="EVAL with clause\np(s(X867), X867).\nand substitution\nX867 -> T228\nT227 -> s(T228)\nX856 -> T228", fontsize=14, style = filled, fillcolor = lightblue];
806 -> 1856 [arrowhead = none ];
1856 -> 807;

1857 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
806 -> 1857 [arrowhead = none ];
1857 -> 808;

1858 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
807 -> 1858 [arrowhead = none ];
1858 -> 809;

1859 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
809 -> 1859 [arrowhead = none ];
1859 -> 810;

1860 [label="EVAL with clause\np(s(X869), X869).\nand substitution\nX869 -> s(s(s(s(s(0)))))\nX857 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
810 -> 1860 [arrowhead = none ];
1860 -> 811;

1861 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
811 -> 1861 [arrowhead = none ];
1861 -> 812;

1862 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
812 -> 1862 [arrowhead = none ];
1862 -> 813;

1863 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
812 -> 1863 [arrowhead = none ];
1863 -> 814;

1864 [label="EVAL with clause\nquot(0, s(X874), s(X875), 0).\nand substitution\nT228 -> 0\nX874 -> s(s(s(s(0))))\nX875 -> s(s(s(s(s(0)))))\nT225 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
813 -> 1864 [arrowhead = none ];
1864 -> 815;

1865 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
813 -> 1865 [arrowhead = none ];
1865 -> 816;

1866 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
814 -> 1866 [arrowhead = none ];
1866 -> 818;

1867 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
815 -> 1867 [arrowhead = none ];
1867 -> 817;

1868 [label="EVAL with clause\nquot(X883, X884, X885, X886) :- ','(no(zero(X883)), ','(no(zero(X884)), ','(p(X883, X887), ','(p(X884, X888), quot(X887, X888, X885, X886))))).\nand substitution\nT228 -> T229\nX883 -> T229\nX884 -> s(s(s(s(s(0)))))\nX885 -> s(s(s(s(s(s(0))))))\nT225 -> T231\nX886 -> T231\nT230 -> T231", fontsize=14, style = filled, fillcolor = lightblue];
818 -> 1868 [arrowhead = none ];
1868 -> 819;

1869 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
819 -> 1869 [arrowhead = none ];
1869 -> 820;

1870 [label="EVAL with clause\nno(X890) :- ','(X890, ','(!, failure(a))).\nand substitution\nT229 -> T232\nX890 -> zero(T232)", fontsize=14, style = filled, fillcolor = lightblue];
820 -> 1870 [arrowhead = none ];
1870 -> 821;

1871 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
821 -> 1871 [arrowhead = none ];
1871 -> 822;

1872 [label="EVAL with clause\nzero(0).\nand substitution\nT232 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
822 -> 1872 [arrowhead = none ];
1872 -> 823;

1873 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
822 -> 1873 [arrowhead = none ];
1873 -> 824;

1874 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
823 -> 1874 [arrowhead = none ];
1874 -> 825;

1875 [label="EVAL with clause\nno(X892).\nand substitution\nT232 -> T233\nX892 -> zero(T233)", fontsize=14, style = filled, fillcolor = lightblue];
824 -> 1875 [arrowhead = none ];
1875 -> 828;

1876 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
825 -> 1876 [arrowhead = none ];
1876 -> 826;

1877 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
826 -> 1877 [arrowhead = none ];
1877 -> 827;

1878 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
828 -> 1878 [arrowhead = none ];
1878 -> 829;

1879 [label="EVAL with clause\nno(X894) :- ','(X894, ','(!, failure(a))).\nand substitution\nX894 -> zero(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
829 -> 1879 [arrowhead = none ];
1879 -> 830;

1880 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
830 -> 1880 [arrowhead = none ];
1880 -> 831;

1881 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
831 -> 1881 [arrowhead = none ];
1881 -> 832;

1882 [label="EVAL with clause\nno(X896).\nand substitution\nX896 -> zero(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
832 -> 1882 [arrowhead = none ];
1882 -> 833;

1883 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
833 -> 1883 [arrowhead = none ];
1883 -> 834;

1884 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T233), zero(0))", fontsize=14, style = filled, fillcolor = white];
834 -> 1884 [arrowhead = none ];
1884 -> 835;

1885 [label="EVAL with clause\np(s(X898), X898).\nand substitution\nX898 -> T234\nT233 -> s(T234)\nX887 -> T234", fontsize=14, style = filled, fillcolor = lightblue];
835 -> 1885 [arrowhead = none ];
1885 -> 836;

1886 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
835 -> 1886 [arrowhead = none ];
1886 -> 837;

1887 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
836 -> 1887 [arrowhead = none ];
1887 -> 838;

1888 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
838 -> 1888 [arrowhead = none ];
1888 -> 839;

1889 [label="EVAL with clause\np(s(X900), X900).\nand substitution\nX900 -> s(s(s(s(0))))\nX888 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
839 -> 1889 [arrowhead = none ];
1889 -> 840;

1890 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
840 -> 1890 [arrowhead = none ];
1890 -> 841;

1891 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
841 -> 1891 [arrowhead = none ];
1891 -> 842;

1892 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
841 -> 1892 [arrowhead = none ];
1892 -> 843;

1893 [label="EVAL with clause\nquot(0, s(X905), s(X906), 0).\nand substitution\nT234 -> 0\nX905 -> s(s(s(0)))\nX906 -> s(s(s(s(s(0)))))\nT231 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
842 -> 1893 [arrowhead = none ];
1893 -> 844;

1894 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
842 -> 1894 [arrowhead = none ];
1894 -> 845;

1895 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
843 -> 1895 [arrowhead = none ];
1895 -> 847;

1896 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
844 -> 1896 [arrowhead = none ];
1896 -> 846;

1897 [label="EVAL with clause\nquot(X914, X915, X916, X917) :- ','(no(zero(X914)), ','(no(zero(X915)), ','(p(X914, X918), ','(p(X915, X919), quot(X918, X919, X916, X917))))).\nand substitution\nT234 -> T235\nX914 -> T235\nX915 -> s(s(s(s(0))))\nX916 -> s(s(s(s(s(s(0))))))\nT231 -> T237\nX917 -> T237\nT236 -> T237", fontsize=14, style = filled, fillcolor = lightblue];
847 -> 1897 [arrowhead = none ];
1897 -> 848;

1898 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
848 -> 1898 [arrowhead = none ];
1898 -> 849;

1899 [label="EVAL with clause\nno(X921) :- ','(X921, ','(!, failure(a))).\nand substitution\nT235 -> T238\nX921 -> zero(T238)", fontsize=14, style = filled, fillcolor = lightblue];
849 -> 1899 [arrowhead = none ];
1899 -> 850;

1900 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
850 -> 1900 [arrowhead = none ];
1900 -> 851;

1901 [label="EVAL with clause\nzero(0).\nand substitution\nT238 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
851 -> 1901 [arrowhead = none ];
1901 -> 852;

1902 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
851 -> 1902 [arrowhead = none ];
1902 -> 853;

1903 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
852 -> 1903 [arrowhead = none ];
1903 -> 854;

1904 [label="EVAL with clause\nno(X923).\nand substitution\nT238 -> T239\nX923 -> zero(T239)", fontsize=14, style = filled, fillcolor = lightblue];
853 -> 1904 [arrowhead = none ];
1904 -> 857;

1905 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
854 -> 1905 [arrowhead = none ];
1905 -> 855;

1906 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
855 -> 1906 [arrowhead = none ];
1906 -> 856;

1907 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
857 -> 1907 [arrowhead = none ];
1907 -> 858;

1908 [label="EVAL with clause\nno(X925) :- ','(X925, ','(!, failure(a))).\nand substitution\nX925 -> zero(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
858 -> 1908 [arrowhead = none ];
1908 -> 859;

1909 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
859 -> 1909 [arrowhead = none ];
1909 -> 860;

1910 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
860 -> 1910 [arrowhead = none ];
1910 -> 861;

1911 [label="EVAL with clause\nno(X927).\nand substitution\nX927 -> zero(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
861 -> 1911 [arrowhead = none ];
1911 -> 862;

1912 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
862 -> 1912 [arrowhead = none ];
1912 -> 863;

1913 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T239), zero(0))", fontsize=14, style = filled, fillcolor = white];
863 -> 1913 [arrowhead = none ];
1913 -> 864;

1914 [label="EVAL with clause\np(s(X929), X929).\nand substitution\nX929 -> T240\nT239 -> s(T240)\nX918 -> T240", fontsize=14, style = filled, fillcolor = lightblue];
864 -> 1914 [arrowhead = none ];
1914 -> 865;

1915 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
864 -> 1915 [arrowhead = none ];
1915 -> 866;

1916 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
865 -> 1916 [arrowhead = none ];
1916 -> 867;

1917 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
867 -> 1917 [arrowhead = none ];
1917 -> 868;

1918 [label="EVAL with clause\np(s(X931), X931).\nand substitution\nX931 -> s(s(s(0)))\nX919 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
868 -> 1918 [arrowhead = none ];
1918 -> 869;

1919 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
869 -> 1919 [arrowhead = none ];
1919 -> 870;

1920 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
870 -> 1920 [arrowhead = none ];
1920 -> 871;

1921 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
870 -> 1921 [arrowhead = none ];
1921 -> 872;

1922 [label="EVAL with clause\nquot(0, s(X936), s(X937), 0).\nand substitution\nT240 -> 0\nX936 -> s(s(0))\nX937 -> s(s(s(s(s(0)))))\nT237 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
871 -> 1922 [arrowhead = none ];
1922 -> 873;

1923 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
871 -> 1923 [arrowhead = none ];
1923 -> 874;

1924 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
872 -> 1924 [arrowhead = none ];
1924 -> 876;

1925 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
873 -> 1925 [arrowhead = none ];
1925 -> 875;

1926 [label="EVAL with clause\nquot(X945, X946, X947, X948) :- ','(no(zero(X945)), ','(no(zero(X946)), ','(p(X945, X949), ','(p(X946, X950), quot(X949, X950, X947, X948))))).\nand substitution\nT240 -> T241\nX945 -> T241\nX946 -> s(s(s(0)))\nX947 -> s(s(s(s(s(s(0))))))\nT237 -> T243\nX948 -> T243\nT242 -> T243", fontsize=14, style = filled, fillcolor = lightblue];
876 -> 1926 [arrowhead = none ];
1926 -> 877;

1927 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
877 -> 1927 [arrowhead = none ];
1927 -> 878;

1928 [label="EVAL with clause\nno(X952) :- ','(X952, ','(!, failure(a))).\nand substitution\nT241 -> T244\nX952 -> zero(T244)", fontsize=14, style = filled, fillcolor = lightblue];
878 -> 1928 [arrowhead = none ];
1928 -> 879;

1929 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
879 -> 1929 [arrowhead = none ];
1929 -> 880;

1930 [label="EVAL with clause\nzero(0).\nand substitution\nT244 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
880 -> 1930 [arrowhead = none ];
1930 -> 881;

1931 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
880 -> 1931 [arrowhead = none ];
1931 -> 882;

1932 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
881 -> 1932 [arrowhead = none ];
1932 -> 883;

1933 [label="EVAL with clause\nno(X954).\nand substitution\nT244 -> T245\nX954 -> zero(T245)", fontsize=14, style = filled, fillcolor = lightblue];
882 -> 1933 [arrowhead = none ];
1933 -> 886;

1934 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
883 -> 1934 [arrowhead = none ];
1934 -> 884;

1935 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
884 -> 1935 [arrowhead = none ];
1935 -> 885;

1936 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
886 -> 1936 [arrowhead = none ];
1936 -> 887;

1937 [label="EVAL with clause\nno(X956) :- ','(X956, ','(!, failure(a))).\nand substitution\nX956 -> zero(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
887 -> 1937 [arrowhead = none ];
1937 -> 888;

1938 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
888 -> 1938 [arrowhead = none ];
1938 -> 889;

1939 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
889 -> 1939 [arrowhead = none ];
1939 -> 890;

1940 [label="EVAL with clause\nno(X958).\nand substitution\nX958 -> zero(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
890 -> 1940 [arrowhead = none ];
1940 -> 891;

1941 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
891 -> 1941 [arrowhead = none ];
1941 -> 892;

1942 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T245), zero(0))", fontsize=14, style = filled, fillcolor = white];
892 -> 1942 [arrowhead = none ];
1942 -> 893;

1943 [label="EVAL with clause\np(s(X960), X960).\nand substitution\nX960 -> T246\nT245 -> s(T246)\nX949 -> T246", fontsize=14, style = filled, fillcolor = lightblue];
893 -> 1943 [arrowhead = none ];
1943 -> 894;

1944 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
893 -> 1944 [arrowhead = none ];
1944 -> 895;

1945 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
894 -> 1945 [arrowhead = none ];
1945 -> 896;

1946 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
896 -> 1946 [arrowhead = none ];
1946 -> 897;

1947 [label="EVAL with clause\np(s(X962), X962).\nand substitution\nX962 -> s(s(0))\nX950 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
897 -> 1947 [arrowhead = none ];
1947 -> 898;

1948 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
898 -> 1948 [arrowhead = none ];
1948 -> 899;

1949 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
899 -> 1949 [arrowhead = none ];
1949 -> 900;

1950 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
899 -> 1950 [arrowhead = none ];
1950 -> 901;

1951 [label="EVAL with clause\nquot(0, s(X967), s(X968), 0).\nand substitution\nT246 -> 0\nX967 -> s(0)\nX968 -> s(s(s(s(s(0)))))\nT243 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
900 -> 1951 [arrowhead = none ];
1951 -> 902;

1952 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
900 -> 1952 [arrowhead = none ];
1952 -> 903;

1953 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
901 -> 1953 [arrowhead = none ];
1953 -> 905;

1954 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
902 -> 1954 [arrowhead = none ];
1954 -> 904;

1955 [label="EVAL with clause\nquot(X976, X977, X978, X979) :- ','(no(zero(X976)), ','(no(zero(X977)), ','(p(X976, X980), ','(p(X977, X981), quot(X980, X981, X978, X979))))).\nand substitution\nT246 -> T247\nX976 -> T247\nX977 -> s(s(0))\nX978 -> s(s(s(s(s(s(0))))))\nT243 -> T249\nX979 -> T249\nT248 -> T249", fontsize=14, style = filled, fillcolor = lightblue];
905 -> 1955 [arrowhead = none ];
1955 -> 906;

1956 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
906 -> 1956 [arrowhead = none ];
1956 -> 907;

1957 [label="EVAL with clause\nno(X983) :- ','(X983, ','(!, failure(a))).\nand substitution\nT247 -> T250\nX983 -> zero(T250)", fontsize=14, style = filled, fillcolor = lightblue];
907 -> 1957 [arrowhead = none ];
1957 -> 908;

1958 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
908 -> 1958 [arrowhead = none ];
1958 -> 909;

1959 [label="EVAL with clause\nzero(0).\nand substitution\nT250 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
909 -> 1959 [arrowhead = none ];
1959 -> 910;

1960 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
909 -> 1960 [arrowhead = none ];
1960 -> 911;

1961 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
910 -> 1961 [arrowhead = none ];
1961 -> 912;

1962 [label="EVAL with clause\nno(X985).\nand substitution\nT250 -> T251\nX985 -> zero(T251)", fontsize=14, style = filled, fillcolor = lightblue];
911 -> 1962 [arrowhead = none ];
1962 -> 915;

1963 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
912 -> 1963 [arrowhead = none ];
1963 -> 913;

1964 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
913 -> 1964 [arrowhead = none ];
1964 -> 914;

1965 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
915 -> 1965 [arrowhead = none ];
1965 -> 916;

1966 [label="EVAL with clause\nno(X987) :- ','(X987, ','(!, failure(a))).\nand substitution\nX987 -> zero(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
916 -> 1966 [arrowhead = none ];
1966 -> 917;

1967 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
917 -> 1967 [arrowhead = none ];
1967 -> 918;

1968 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
918 -> 1968 [arrowhead = none ];
1968 -> 919;

1969 [label="EVAL with clause\nno(X989).\nand substitution\nX989 -> zero(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
919 -> 1969 [arrowhead = none ];
1969 -> 920;

1970 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
920 -> 1970 [arrowhead = none ];
1970 -> 921;

1971 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T251), zero(0))", fontsize=14, style = filled, fillcolor = white];
921 -> 1971 [arrowhead = none ];
1971 -> 922;

1972 [label="EVAL with clause\np(s(X991), X991).\nand substitution\nX991 -> T252\nT251 -> s(T252)\nX980 -> T252", fontsize=14, style = filled, fillcolor = lightblue];
922 -> 1972 [arrowhead = none ];
1972 -> 923;

1973 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
922 -> 1973 [arrowhead = none ];
1973 -> 924;

1974 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
923 -> 1974 [arrowhead = none ];
1974 -> 925;

1975 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
925 -> 1975 [arrowhead = none ];
1975 -> 926;

1976 [label="EVAL with clause\np(s(X993), X993).\nand substitution\nX993 -> s(0)\nX981 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
926 -> 1976 [arrowhead = none ];
1976 -> 927;

1977 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
927 -> 1977 [arrowhead = none ];
1977 -> 928;

1978 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
928 -> 1978 [arrowhead = none ];
1978 -> 929;

1979 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
928 -> 1979 [arrowhead = none ];
1979 -> 930;

1980 [label="EVAL with clause\nquot(0, s(X998), s(X999), 0).\nand substitution\nT252 -> 0\nX998 -> 0\nX999 -> s(s(s(s(s(0)))))\nT249 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
929 -> 1980 [arrowhead = none ];
1980 -> 931;

1981 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
929 -> 1981 [arrowhead = none ];
1981 -> 932;

1982 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = white];
930 -> 1982 [arrowhead = none ];
1982 -> 934;

1983 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
931 -> 1983 [arrowhead = none ];
1983 -> 933;

1984 [label="EVAL with clause\nquot(X1007, X1008, X1009, X1010) :- ','(no(zero(X1007)), ','(no(zero(X1008)), ','(p(X1007, X1011), ','(p(X1008, X1012), quot(X1011, X1012, X1009, X1010))))).\nand substitution\nT252 -> T253\nX1007 -> T253\nX1008 -> s(0)\nX1009 -> s(s(s(s(s(s(0))))))\nT249 -> T255\nX1010 -> T255\nT254 -> T255", fontsize=14, style = filled, fillcolor = lightblue];
934 -> 1984 [arrowhead = none ];
1984 -> 935;

1985 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
935 -> 1985 [arrowhead = none ];
1985 -> 936;

1986 [label="EVAL with clause\nno(X1014) :- ','(X1014, ','(!, failure(a))).\nand substitution\nT253 -> T256\nX1014 -> zero(T256)", fontsize=14, style = filled, fillcolor = lightblue];
936 -> 1986 [arrowhead = none ];
1986 -> 937;

1987 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
937 -> 1987 [arrowhead = none ];
1987 -> 938;

1988 [label="EVAL with clause\nzero(0).\nand substitution\nT256 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
938 -> 1988 [arrowhead = none ];
1988 -> 939;

1989 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
938 -> 1989 [arrowhead = none ];
1989 -> 940;

1990 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
939 -> 1990 [arrowhead = none ];
1990 -> 941;

1991 [label="EVAL with clause\nno(X1016).\nand substitution\nT256 -> T257\nX1016 -> zero(T257)", fontsize=14, style = filled, fillcolor = lightblue];
940 -> 1991 [arrowhead = none ];
1991 -> 944;

1992 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
941 -> 1992 [arrowhead = none ];
1992 -> 942;

1993 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
942 -> 1993 [arrowhead = none ];
1993 -> 943;

1994 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
944 -> 1994 [arrowhead = none ];
1994 -> 945;

1995 [label="EVAL with clause\nno(X1018) :- ','(X1018, ','(!, failure(a))).\nand substitution\nX1018 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
945 -> 1995 [arrowhead = none ];
1995 -> 946;

1996 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
946 -> 1996 [arrowhead = none ];
1996 -> 947;

1997 [label="BACKTRACK\nfor clause: zero(0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
947 -> 1997 [arrowhead = none ];
1997 -> 948;

1998 [label="EVAL with clause\nno(X1020).\nand substitution\nX1020 -> zero(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
948 -> 1998 [arrowhead = none ];
1998 -> 949;

1999 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
949 -> 1999 [arrowhead = none ];
1999 -> 950;

2000 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T257), zero(0))", fontsize=14, style = filled, fillcolor = white];
950 -> 2000 [arrowhead = none ];
2000 -> 951;

2001 [label="EVAL with clause\np(s(X1022), X1022).\nand substitution\nX1022 -> T258\nT257 -> s(T258)\nX1011 -> T258", fontsize=14, style = filled, fillcolor = lightblue];
951 -> 2001 [arrowhead = none ];
2001 -> 952;

2002 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
951 -> 2002 [arrowhead = none ];
2002 -> 953;

2003 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
952 -> 2003 [arrowhead = none ];
2003 -> 954;

2004 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
954 -> 2004 [arrowhead = none ];
2004 -> 955;

2005 [label="EVAL with clause\np(s(X1024), X1024).\nand substitution\nX1024 -> 0\nX1012 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
955 -> 2005 [arrowhead = none ];
2005 -> 956;

2006 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
956 -> 2006 [arrowhead = none ];
2006 -> 957;

2007 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = white];
957 -> 2007 [arrowhead = none ];
2007 -> 958;

2008 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
958 -> 2008 [arrowhead = none ];
2008 -> 959;

2009 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
958 -> 2009 [arrowhead = none ];
2009 -> 960;

2010 [label="EVAL with clause\nquot(X1033, 0, s(X1034), s(X1035)) :- quot(X1033, s(X1034), s(X1034), X1035).\nand substitution\nT258 -> T259\nX1033 -> T259\nX1034 -> s(s(s(s(s(0)))))\nX1035 -> T261\nT255 -> s(T261)\nT260 -> T261", fontsize=14, style = filled, fillcolor = lightblue];
959 -> 2010 [arrowhead = none ];
2010 -> 961;

2011 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
959 -> 2011 [arrowhead = none ];
2011 -> 962;

2012 [label="EVAL with clause\nquot(X1040, X1041, X1042, X1043) :- ','(no(zero(X1040)), ','(no(zero(X1041)), ','(p(X1040, X1044), ','(p(X1041, X1045), quot(X1044, X1045, X1042, X1043))))).\nand substitution\nT258 -> T262\nX1040 -> T262\nX1041 -> 0\nX1042 -> s(s(s(s(s(s(0))))))\nT255 -> T264\nX1043 -> T264\nT263 -> T264", fontsize=14, style = filled, fillcolor = lightblue];
960 -> 2012 [arrowhead = none ];
2012 -> 963;

2013 [label="INSTANCE with matching:\nT220 -> T259\nT222 -> T261", fontsize=14, style = filled, fillcolor = lightgrey];
961 -> 2013 [arrowhead = none , style=dashed];
2013 -> 781[style=dashed];

2014 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
963 -> 2014 [arrowhead = none ];
2014 -> 964;

2015 [label="EVAL with clause\nno(X1047) :- ','(X1047, ','(!, failure(a))).\nand substitution\nT262 -> T265\nX1047 -> zero(T265)", fontsize=14, style = filled, fillcolor = lightblue];
964 -> 2015 [arrowhead = none ];
2015 -> 965;

2016 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
965 -> 2016 [arrowhead = none ];
2016 -> 966;

2017 [label="EVAL with clause\nzero(0).\nand substitution\nT265 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
966 -> 2017 [arrowhead = none ];
2017 -> 967;

2018 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
966 -> 2018 [arrowhead = none ];
2018 -> 968;

2019 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
967 -> 2019 [arrowhead = none ];
2019 -> 969;

2020 [label="EVAL with clause\nno(X1049).\nand substitution\nT265 -> T266\nX1049 -> zero(T266)", fontsize=14, style = filled, fillcolor = lightblue];
968 -> 2020 [arrowhead = none ];
2020 -> 972;

2021 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
969 -> 2021 [arrowhead = none ];
2021 -> 970;

2022 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
970 -> 2022 [arrowhead = none ];
2022 -> 971;

2023 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
972 -> 2023 [arrowhead = none ];
2023 -> 973;

2024 [label="EVAL with clause\nno(X1051) :- ','(X1051, ','(!, failure(a))).\nand substitution\nX1051 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
973 -> 2024 [arrowhead = none ];
2024 -> 974;

2025 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
974 -> 2025 [arrowhead = none ];
2025 -> 975;

2026 [label="EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
975 -> 2026 [arrowhead = none ];
2026 -> 976;

2027 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
976 -> 2027 [arrowhead = none ];
2027 -> 977;

2028 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
977 -> 2028 [arrowhead = none ];
2028 -> 978;

2029 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
978 -> 2029 [arrowhead = none ];
2029 -> 979;

2030 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
980 -> 2030 [arrowhead = none ];
2030 -> 981;

2031 [label="EVAL with clause\nno(X1063) :- ','(X1063, ','(!, failure(a))).\nand substitution\nT267 -> T271\nX1063 -> zero(T271)", fontsize=14, style = filled, fillcolor = lightblue];
981 -> 2031 [arrowhead = none ];
2031 -> 982;

2032 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
982 -> 2032 [arrowhead = none ];
2032 -> 983;

2033 [label="EVAL with clause\nzero(0).\nand substitution\nT271 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
983 -> 2033 [arrowhead = none ];
2033 -> 984;

2034 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
983 -> 2034 [arrowhead = none ];
2034 -> 985;

2035 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
984 -> 2035 [arrowhead = none ];
2035 -> 986;

2036 [label="EVAL with clause\nno(X1065).\nand substitution\nT271 -> T272\nX1065 -> zero(T272)", fontsize=14, style = filled, fillcolor = lightblue];
985 -> 2036 [arrowhead = none ];
2036 -> 989;

2037 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
986 -> 2037 [arrowhead = none ];
2037 -> 987;

2038 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
987 -> 2038 [arrowhead = none ];
2038 -> 988;

2039 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
989 -> 2039 [arrowhead = none ];
2039 -> 990;

2040 [label="EVAL with clause\nno(X1067) :- ','(X1067, ','(!, failure(a))).\nand substitution\nT268 -> T273\nX1067 -> zero(T273)", fontsize=14, style = filled, fillcolor = lightblue];
990 -> 2040 [arrowhead = none ];
2040 -> 991;

2041 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
991 -> 2041 [arrowhead = none ];
2041 -> 992;

2042 [label="EVAL with clause\nzero(0).\nand substitution\nT273 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
992 -> 2042 [arrowhead = none ];
2042 -> 993;

2043 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
992 -> 2043 [arrowhead = none ];
2043 -> 994;

2044 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
993 -> 2044 [arrowhead = none ];
2044 -> 995;

2045 [label="EVAL with clause\nno(X1069).\nand substitution\nT273 -> T274\nX1069 -> zero(T274)", fontsize=14, style = filled, fillcolor = lightblue];
994 -> 2045 [arrowhead = none ];
2045 -> 998;

2046 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
995 -> 2046 [arrowhead = none ];
2046 -> 996;

2047 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
996 -> 2047 [arrowhead = none ];
2047 -> 997;

2048 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
998 -> 2048 [arrowhead = none ];
2048 -> 999;

2049 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T272), zero(0))", fontsize=14, style = filled, fillcolor = white];
999 -> 2049 [arrowhead = none ];
2049 -> 1000;

2050 [label="EVAL with clause\np(s(X1071), X1071).\nand substitution\nX1071 -> T275\nT272 -> s(T275)\nX1060 -> T275", fontsize=14, style = filled, fillcolor = lightblue];
1000 -> 2050 [arrowhead = none ];
2050 -> 1001;

2051 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1000 -> 2051 [arrowhead = none ];
2051 -> 1002;

2052 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1001 -> 2052 [arrowhead = none ];
2052 -> 1003;

2053 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T274), zero(0))", fontsize=14, style = filled, fillcolor = white];
1003 -> 2053 [arrowhead = none ];
2053 -> 1004;

2054 [label="EVAL with clause\np(s(X1073), X1073).\nand substitution\nX1073 -> T276\nT274 -> s(T276)\nX1061 -> T276", fontsize=14, style = filled, fillcolor = lightblue];
1004 -> 2054 [arrowhead = none ];
2054 -> 1005;

2055 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1004 -> 2055 [arrowhead = none ];
2055 -> 1006;

2056 [label="GENERALIZATION\nT277 <-- s(s(s(s(s(s(T276))))))\n\nNew Knowledge:\nT277 is ground", fontsize=14, style = filled, fillcolor = violet];
1005 -> 2056 [arrowhead = none ];
2056 -> 1007;

2057 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1007 -> 2057 [arrowhead = none ];
2057 -> 1008;

2058 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1008 -> 2058 [arrowhead = none ];
2058 -> 1009;

2059 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1008 -> 2059 [arrowhead = none ];
2059 -> 1010;

2060 [label="EVAL with clause\nquot(0, s(X1078), s(X1079), 0).\nand substitution\nT275 -> 0\nX1078 -> T278\nT276 -> s(T278)\nT277 -> T279\nX1079 -> T279\nT270 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1009 -> 2060 [arrowhead = none ];
2060 -> 1011;

2061 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1009 -> 2061 [arrowhead = none ];
2061 -> 1012;

2062 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1010 -> 2062 [arrowhead = none ];
2062 -> 1014;

2063 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1010 -> 2063 [arrowhead = none ];
2063 -> 1015;

2064 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1011 -> 2064 [arrowhead = none ];
2064 -> 1013;

2065 [label="EVAL with clause\nquot(X1086, 0, s(X1087), s(X1088)) :- quot(X1086, s(X1087), s(X1087), X1088).\nand substitution\nT275 -> T280\nX1086 -> T280\nT276 -> 0\nT277 -> T281\nX1087 -> T281\nX1088 -> T283\nT270 -> s(T283)\nT282 -> T283", fontsize=14, style = filled, fillcolor = lightblue];
1014 -> 2065 [arrowhead = none ];
2065 -> 1016;

2066 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1014 -> 2066 [arrowhead = none ];
2066 -> 1017;

2067 [label="EVAL with clause\nquot(X1093, X1094, X1095, X1096) :- ','(no(zero(X1093)), ','(no(zero(X1094)), ','(p(X1093, X1097), ','(p(X1094, X1098), quot(X1097, X1098, X1095, X1096))))).\nand substitution\nT275 -> T284\nX1093 -> T284\nT276 -> T285\nX1094 -> T285\nT277 -> T286\nX1095 -> s(T286)\nT270 -> T288\nX1096 -> T288\nT287 -> T288", fontsize=14, style = filled, fillcolor = lightblue];
1015 -> 2067 [arrowhead = none ];
2067 -> 1018;

2068 [label="INSTANCE with matching:\nT4 -> T280\nT5 -> s(T281)\nT7 -> T283", fontsize=14, style = filled, fillcolor = lightgrey];
1016 -> 2068 [arrowhead = none , style=dashed];
2068 -> 3[style=dashed];

2069 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1018 -> 2069 [arrowhead = none ];
2069 -> 1019;

2070 [label="EVAL with clause\nno(X1100) :- ','(X1100, ','(!, failure(a))).\nand substitution\nT284 -> T289\nX1100 -> zero(T289)", fontsize=14, style = filled, fillcolor = lightblue];
1019 -> 2070 [arrowhead = none ];
2070 -> 1020;

2071 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1020 -> 2071 [arrowhead = none ];
2071 -> 1021;

2072 [label="EVAL with clause\nzero(0).\nand substitution\nT289 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1021 -> 2072 [arrowhead = none ];
2072 -> 1022;

2073 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1021 -> 2073 [arrowhead = none ];
2073 -> 1023;

2074 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1022 -> 2074 [arrowhead = none ];
2074 -> 1024;

2075 [label="EVAL with clause\nno(X1102).\nand substitution\nT289 -> T290\nX1102 -> zero(T290)", fontsize=14, style = filled, fillcolor = lightblue];
1023 -> 2075 [arrowhead = none ];
2075 -> 1027;

2076 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1024 -> 2076 [arrowhead = none ];
2076 -> 1025;

2077 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
1025 -> 2077 [arrowhead = none ];
2077 -> 1026;

2078 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1027 -> 2078 [arrowhead = none ];
2078 -> 1028;

2079 [label="EVAL with clause\nno(X1104) :- ','(X1104, ','(!, failure(a))).\nand substitution\nT285 -> T291\nX1104 -> zero(T291)", fontsize=14, style = filled, fillcolor = lightblue];
1028 -> 2079 [arrowhead = none ];
2079 -> 1029;

2080 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1029 -> 2080 [arrowhead = none ];
2080 -> 1030;

2081 [label="EVAL with clause\nzero(0).\nand substitution\nT291 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1030 -> 2081 [arrowhead = none ];
2081 -> 1031;

2082 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1030 -> 2082 [arrowhead = none ];
2082 -> 1032;

2083 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1031 -> 2083 [arrowhead = none ];
2083 -> 1033;

2084 [label="EVAL with clause\nno(X1106).\nand substitution\nT291 -> T292\nX1106 -> zero(T292)", fontsize=14, style = filled, fillcolor = lightblue];
1032 -> 2084 [arrowhead = none ];
2084 -> 1036;

2085 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1033 -> 2085 [arrowhead = none ];
2085 -> 1034;

2086 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = white];
1034 -> 2086 [arrowhead = none ];
2086 -> 1035;

2087 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1036 -> 2087 [arrowhead = none ];
2087 -> 1037;

2088 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T290), zero(0))", fontsize=14, style = filled, fillcolor = white];
1037 -> 2088 [arrowhead = none ];
2088 -> 1038;

2089 [label="EVAL with clause\np(s(X1108), X1108).\nand substitution\nX1108 -> T293\nT290 -> s(T293)\nX1097 -> T293", fontsize=14, style = filled, fillcolor = lightblue];
1038 -> 2089 [arrowhead = none ];
2089 -> 1039;

2090 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1038 -> 2090 [arrowhead = none ];
2090 -> 1040;

2091 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1039 -> 2091 [arrowhead = none ];
2091 -> 1041;

2092 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (zero(T292), zero(0))", fontsize=14, style = filled, fillcolor = white];
1041 -> 2092 [arrowhead = none ];
2092 -> 1042;

2093 [label="EVAL with clause\np(s(X1110), X1110).\nand substitution\nX1110 -> T294\nT292 -> s(T294)\nX1098 -> T294", fontsize=14, style = filled, fillcolor = lightblue];
1042 -> 2093 [arrowhead = none ];
2093 -> 1043;

2094 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
1042 -> 2094 [arrowhead = none ];
2094 -> 1044;

2095 [label="INSTANCE with matching:\nT275 -> T293\nT276 -> T294\nT277 -> T286\nT270 -> T288", fontsize=14, style = filled, fillcolor = lightgrey];
1043 -> 2095 [arrowhead = none , style=dashed];
2095 -> 1007[style=dashed];

}

(2) Obligation:

Clauses:

quot46(0, 0).
quot46(s(T29), s(T31)) :- quot46(T29, T31).
quot135(0, 0).
quot135(s(0), 0).
quot135(s(s(T63)), s(T65)) :- quot135(T63, T65).
quot253(0, 0).
quot253(s(0), 0).
quot253(s(s(0)), 0).
quot253(s(s(s(T103))), s(T105)) :- quot253(T103, T105).
quot400(0, 0).
quot400(s(0), 0).
quot400(s(s(0)), 0).
quot400(s(s(s(0))), 0).
quot400(s(s(s(s(T149)))), s(T151)) :- quot400(T149, T151).
quot576(0, 0).
quot576(s(0), 0).
quot576(s(s(0)), 0).
quot576(s(s(s(0))), 0).
quot576(s(s(s(s(0)))), 0).
quot576(s(s(s(s(s(T201))))), s(T203)) :- quot576(T201, T203).
quot781(0, 0).
quot781(s(0), 0).
quot781(s(s(0)), 0).
quot781(s(s(s(0))), 0).
quot781(s(s(s(s(0)))), 0).
quot781(s(s(s(s(s(0))))), 0).
quot781(s(s(s(s(s(s(T259)))))), s(T261)) :- quot781(T259, T261).
quot3(0, s(T8), 0).
quot3(s(0), s(s(T19)), 0).
quot3(s(0), s(0), s(0)).
quot3(s(s(T29)), s(0), s(s(T31))) :- quot46(T29, T31).
quot3(s(s(0)), s(s(s(T47))), 0).
quot3(s(s(0)), s(s(0)), s(0)).
quot3(s(s(s(0))), s(s(0)), s(0)).
quot3(s(s(s(s(T63)))), s(s(0)), s(s(T65))) :- quot135(T63, T65).
quot3(s(s(s(0))), s(s(s(s(T81)))), 0).
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(T103)))))), s(s(s(0))), s(s(T105))) :- quot253(T103, T105).
quot3(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0).
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(T149)))))))), s(s(s(s(0)))), s(s(T151))) :- quot400(T149, T151).
quot3(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0).
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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) :- quot576(T201, T203).
quot3(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0).
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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) :- quot781(T259, T261).
quot3(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0).
quot3(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) :- quot3(T280, s(T281), T283).
quot3(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) :- quot1007(T293, T294, T286, T288).
quot1007(0, s(T278), T279, 0).
quot1007(T280, 0, T281, s(T283)) :- quot3(T280, s(T281), T283).
quot1007(s(T293), s(T294), T286, T288) :- quot1007(T293, T294, T286, T288).
div1(0, s(T8), 0).
div1(s(0), s(s(T19)), 0).
div1(s(0), s(0), s(0)).
div1(s(s(T29)), s(0), s(s(T31))) :- quot46(T29, T31).
div1(s(s(0)), s(s(s(T47))), 0).
div1(s(s(0)), s(s(0)), s(0)).
div1(s(s(s(0))), s(s(0)), s(0)).
div1(s(s(s(s(T63)))), s(s(0)), s(s(T65))) :- quot135(T63, T65).
div1(s(s(s(0))), s(s(s(s(T81)))), 0).
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(T103)))))), s(s(s(0))), s(s(T105))) :- quot253(T103, T105).
div1(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0).
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(T149)))))))), s(s(s(s(0)))), s(s(T151))) :- quot400(T149, T151).
div1(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0).
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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) :- quot576(T201, T203).
div1(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0).
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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) :- quot781(T259, T261).
div1(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0).
div1(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) :- quot3(T280, s(T281), T283).
div1(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) :- quot1007(T293, T294, T286, T288).

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)
quot46_in: (b,f)
quot135_in: (b,f)
quot253_in: (b,f)
quot400_in: (b,f)
quot576_in: (b,f)
quot781_in: (b,f)
quot3_in: (b,f,f)
quot1007_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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

(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(T29)), s(0), s(s(T31))) → U17_GGA(T29, T31, quot46_in_ga(T29, T31))
DIV1_IN_GGA(s(s(T29)), s(0), s(s(T31))) → QUOT46_IN_GA(T29, T31)
QUOT46_IN_GA(s(T29), s(T31)) → U1_GA(T29, T31, quot46_in_ga(T29, T31))
QUOT46_IN_GA(s(T29), s(T31)) → QUOT46_IN_GA(T29, T31)
DIV1_IN_GGA(s(s(s(s(T63)))), s(s(0)), s(s(T65))) → U18_GGA(T63, T65, quot135_in_ga(T63, T65))
DIV1_IN_GGA(s(s(s(s(T63)))), s(s(0)), s(s(T65))) → QUOT135_IN_GA(T63, T65)
QUOT135_IN_GA(s(s(T63)), s(T65)) → U2_GA(T63, T65, quot135_in_ga(T63, T65))
QUOT135_IN_GA(s(s(T63)), s(T65)) → QUOT135_IN_GA(T63, T65)
DIV1_IN_GGA(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105))) → U19_GGA(T103, T105, quot253_in_ga(T103, T105))
DIV1_IN_GGA(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105))) → QUOT253_IN_GA(T103, T105)
QUOT253_IN_GA(s(s(s(T103))), s(T105)) → U3_GA(T103, T105, quot253_in_ga(T103, T105))
QUOT253_IN_GA(s(s(s(T103))), s(T105)) → QUOT253_IN_GA(T103, T105)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_GGA(T149, T151, quot400_in_ga(T149, T151))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151))) → QUOT400_IN_GA(T149, T151)
QUOT400_IN_GA(s(s(s(s(T149)))), s(T151)) → U4_GA(T149, T151, quot400_in_ga(T149, T151))
QUOT400_IN_GA(s(s(s(s(T149)))), s(T151)) → QUOT400_IN_GA(T149, T151)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_GGA(T201, T203, quot576_in_ga(T201, T203))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → QUOT576_IN_GA(T201, T203)
QUOT576_IN_GA(s(s(s(s(s(T201))))), s(T203)) → U5_GA(T201, T203, quot576_in_ga(T201, T203))
QUOT576_IN_GA(s(s(s(s(s(T201))))), s(T203)) → QUOT576_IN_GA(T201, T203)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_GGA(T259, T261, quot781_in_ga(T259, T261))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → QUOT781_IN_GA(T259, T261)
QUOT781_IN_GA(s(s(s(s(s(s(T259)))))), s(T261)) → U6_GA(T259, T261, quot781_in_ga(T259, T261))
QUOT781_IN_GA(s(s(s(s(s(s(T259)))))), s(T261)) → QUOT781_IN_GA(T259, T261)
DIV1_IN_GGA(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_GGA(T280, T283, quot3_in_gaa(T280, s(T281), T283))
DIV1_IN_GGA(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT3_IN_GAA(s(s(T29)), s(0), s(s(T31))) → U7_GAA(T29, T31, quot46_in_ga(T29, T31))
QUOT3_IN_GAA(s(s(T29)), s(0), s(s(T31))) → QUOT46_IN_GA(T29, T31)
QUOT3_IN_GAA(s(s(s(s(T63)))), s(s(0)), s(s(T65))) → U8_GAA(T63, T65, quot135_in_ga(T63, T65))
QUOT3_IN_GAA(s(s(s(s(T63)))), s(s(0)), s(s(T65))) → QUOT135_IN_GA(T63, T65)
QUOT3_IN_GAA(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105))) → U9_GAA(T103, T105, quot253_in_ga(T103, T105))
QUOT3_IN_GAA(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105))) → QUOT253_IN_GA(T103, T105)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_GAA(T149, T151, quot400_in_ga(T149, T151))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151))) → QUOT400_IN_GA(T149, T151)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_GAA(T201, T203, quot576_in_ga(T201, T203))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → QUOT576_IN_GA(T201, T203)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_GAA(T259, T261, quot781_in_ga(T259, T261))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → QUOT781_IN_GA(T259, T261)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_GAA(T280, T283, quot3_in_gaa(T280, s(T281), T283))
QUOT3_IN_GAA(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_GAA(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → QUOT1007_IN_GAAA(T293, T294, T286, T288)
QUOT1007_IN_GAAA(T280, 0, T281, s(T283)) → U15_GAAA(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
QUOT1007_IN_GAAA(T280, 0, T281, s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT1007_IN_GAAA(s(T293), s(T294), T286, T288) → U16_GAAA(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
QUOT1007_IN_GAAA(s(T293), s(T294), T286, T288) → QUOT1007_IN_GAAA(T293, T294, T286, T288)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_GGA(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → QUOT1007_IN_GGAA(T293, T294, T286, T288)
QUOT1007_IN_GGAA(T280, 0, T281, s(T283)) → U15_GGAA(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
QUOT1007_IN_GGAA(T280, 0, T281, s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT1007_IN_GGAA(s(T293), s(T294), T286, T288) → U16_GGAA(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
QUOT1007_IN_GGAA(s(T293), s(T294), T286, T288) → QUOT1007_IN_GGAA(T293, T294, T286, T288)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

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)
U17_gga(x1, x2, x3) = U17_gga(x3)
quot46_in_ga(x1, x2) = quot46_in_ga(x1)
quot46_out_ga(x1, x2) = quot46_out_ga(x2)
U1_ga(x1, x2, x3) = U1_ga(x3)
U18_gga(x1, x2, x3) = U18_gga(x3)
quot135_in_ga(x1, x2) = quot135_in_ga(x1)
quot135_out_ga(x1, x2) = quot135_out_ga(x2)
U2_ga(x1, x2, x3) = U2_ga(x3)
U19_gga(x1, x2, x3) = U19_gga(x3)
quot253_in_ga(x1, x2) = quot253_in_ga(x1)
quot253_out_ga(x1, x2) = quot253_out_ga(x2)
U3_ga(x1, x2, x3) = U3_ga(x3)
U20_gga(x1, x2, x3) = U20_gga(x3)
quot400_in_ga(x1, x2) = quot400_in_ga(x1)
quot400_out_ga(x1, x2) = quot400_out_ga(x2)
U4_ga(x1, x2, x3) = U4_ga(x3)
U21_gga(x1, x2, x3) = U21_gga(x3)
quot576_in_ga(x1, x2) = quot576_in_ga(x1)
quot576_out_ga(x1, x2) = quot576_out_ga(x2)
U5_ga(x1, x2, x3) = U5_ga(x3)
U22_gga(x1, x2, x3) = U22_gga(x3)
quot781_in_ga(x1, x2) = quot781_in_ga(x1)
quot781_out_ga(x1, x2) = quot781_out_ga(x2)
U6_ga(x1, x2, x3) = U6_ga(x3)
U23_gga(x1, x2, x3) = U23_gga(x3)
quot3_in_gaa(x1, x2, x3) = quot3_in_gaa(x1)
quot3_out_gaa(x1, x2, x3) = quot3_out_gaa(x3)
U7_gaa(x1, x2, x3) = U7_gaa(x3)
U8_gaa(x1, x2, x3) = U8_gaa(x3)
U9_gaa(x1, x2, x3) = U9_gaa(x3)
U10_gaa(x1, x2, x3) = U10_gaa(x3)
U11_gaa(x1, x2, x3) = U11_gaa(x3)
U12_gaa(x1, x2, x3) = U12_gaa(x3)
U13_gaa(x1, x2, x3) = U13_gaa(x3)
U14_gaa(x1, x2, x3, x4) = U14_gaa(x4)
quot1007_in_gaaa(x1, x2, x3, x4) = quot1007_in_gaaa(x1)
quot1007_out_gaaa(x1, x2, x3, x4) = quot1007_out_gaaa(x4)
U15_gaaa(x1, x2, x3, x4) = U15_gaaa(x4)
U16_gaaa(x1, x2, x3, x4, x5) = U16_gaaa(x5)
U24_gga(x1, x2, x3, x4) = U24_gga(x4)
quot1007_in_ggaa(x1, x2, x3, x4) = quot1007_in_ggaa(x1, x2)
quot1007_out_ggaa(x1, x2, x3, x4) = quot1007_out_ggaa(x4)
U15_ggaa(x1, x2, x3, x4) = U15_ggaa(x4)
U16_ggaa(x1, x2, x3, x4, x5) = U16_ggaa(x5)
DIV1_IN_GGA(x1, x2, x3) = DIV1_IN_GGA(x1, x2)
U17_GGA(x1, x2, x3) = U17_GGA(x3)
QUOT46_IN_GA(x1, x2) = QUOT46_IN_GA(x1)
U1_GA(x1, x2, x3) = U1_GA(x3)
U18_GGA(x1, x2, x3) = U18_GGA(x3)
QUOT135_IN_GA(x1, x2) = QUOT135_IN_GA(x1)
U2_GA(x1, x2, x3) = U2_GA(x3)
U19_GGA(x1, x2, x3) = U19_GGA(x3)
QUOT253_IN_GA(x1, x2) = QUOT253_IN_GA(x1)
U3_GA(x1, x2, x3) = U3_GA(x3)
U20_GGA(x1, x2, x3) = U20_GGA(x3)
QUOT400_IN_GA(x1, x2) = QUOT400_IN_GA(x1)
U4_GA(x1, x2, x3) = U4_GA(x3)
U21_GGA(x1, x2, x3) = U21_GGA(x3)
QUOT576_IN_GA(x1, x2) = QUOT576_IN_GA(x1)
U5_GA(x1, x2, x3) = U5_GA(x3)
U22_GGA(x1, x2, x3) = U22_GGA(x3)
QUOT781_IN_GA(x1, x2) = QUOT781_IN_GA(x1)
U6_GA(x1, x2, x3) = U6_GA(x3)
U23_GGA(x1, x2, x3) = U23_GGA(x3)
QUOT3_IN_GAA(x1, x2, x3) = QUOT3_IN_GAA(x1)
U7_GAA(x1, x2, x3) = U7_GAA(x3)
U8_GAA(x1, x2, x3) = U8_GAA(x3)
U9_GAA(x1, x2, x3) = U9_GAA(x3)
U10_GAA(x1, x2, x3) = U10_GAA(x3)
U11_GAA(x1, x2, x3) = U11_GAA(x3)
U12_GAA(x1, x2, x3) = U12_GAA(x3)
U13_GAA(x1, x2, x3) = U13_GAA(x3)
U14_GAA(x1, x2, x3, x4) = U14_GAA(x4)
QUOT1007_IN_GAAA(x1, x2, x3, x4) = QUOT1007_IN_GAAA(x1)
U15_GAAA(x1, x2, x3, x4) = U15_GAAA(x4)
U16_GAAA(x1, x2, x3, x4, x5) = U16_GAAA(x5)
U24_GGA(x1, x2, x3, x4) = U24_GGA(x4)
QUOT1007_IN_GGAA(x1, x2, x3, x4) = QUOT1007_IN_GGAA(x1, x2)
U15_GGAA(x1, x2, x3, x4) = U15_GGAA(x4)
U16_GGAA(x1, x2, x3, x4, x5) = U16_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(T29)), s(0), s(s(T31))) → U17_GGA(T29, T31, quot46_in_ga(T29, T31))
DIV1_IN_GGA(s(s(T29)), s(0), s(s(T31))) → QUOT46_IN_GA(T29, T31)
QUOT46_IN_GA(s(T29), s(T31)) → U1_GA(T29, T31, quot46_in_ga(T29, T31))
QUOT46_IN_GA(s(T29), s(T31)) → QUOT46_IN_GA(T29, T31)
DIV1_IN_GGA(s(s(s(s(T63)))), s(s(0)), s(s(T65))) → U18_GGA(T63, T65, quot135_in_ga(T63, T65))
DIV1_IN_GGA(s(s(s(s(T63)))), s(s(0)), s(s(T65))) → QUOT135_IN_GA(T63, T65)
QUOT135_IN_GA(s(s(T63)), s(T65)) → U2_GA(T63, T65, quot135_in_ga(T63, T65))
QUOT135_IN_GA(s(s(T63)), s(T65)) → QUOT135_IN_GA(T63, T65)
DIV1_IN_GGA(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105))) → U19_GGA(T103, T105, quot253_in_ga(T103, T105))
DIV1_IN_GGA(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105))) → QUOT253_IN_GA(T103, T105)
QUOT253_IN_GA(s(s(s(T103))), s(T105)) → U3_GA(T103, T105, quot253_in_ga(T103, T105))
QUOT253_IN_GA(s(s(s(T103))), s(T105)) → QUOT253_IN_GA(T103, T105)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_GGA(T149, T151, quot400_in_ga(T149, T151))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151))) → QUOT400_IN_GA(T149, T151)
QUOT400_IN_GA(s(s(s(s(T149)))), s(T151)) → U4_GA(T149, T151, quot400_in_ga(T149, T151))
QUOT400_IN_GA(s(s(s(s(T149)))), s(T151)) → QUOT400_IN_GA(T149, T151)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_GGA(T201, T203, quot576_in_ga(T201, T203))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → QUOT576_IN_GA(T201, T203)
QUOT576_IN_GA(s(s(s(s(s(T201))))), s(T203)) → U5_GA(T201, T203, quot576_in_ga(T201, T203))
QUOT576_IN_GA(s(s(s(s(s(T201))))), s(T203)) → QUOT576_IN_GA(T201, T203)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_GGA(T259, T261, quot781_in_ga(T259, T261))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → QUOT781_IN_GA(T259, T261)
QUOT781_IN_GA(s(s(s(s(s(s(T259)))))), s(T261)) → U6_GA(T259, T261, quot781_in_ga(T259, T261))
QUOT781_IN_GA(s(s(s(s(s(s(T259)))))), s(T261)) → QUOT781_IN_GA(T259, T261)
DIV1_IN_GGA(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_GGA(T280, T283, quot3_in_gaa(T280, s(T281), T283))
DIV1_IN_GGA(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT3_IN_GAA(s(s(T29)), s(0), s(s(T31))) → U7_GAA(T29, T31, quot46_in_ga(T29, T31))
QUOT3_IN_GAA(s(s(T29)), s(0), s(s(T31))) → QUOT46_IN_GA(T29, T31)
QUOT3_IN_GAA(s(s(s(s(T63)))), s(s(0)), s(s(T65))) → U8_GAA(T63, T65, quot135_in_ga(T63, T65))
QUOT3_IN_GAA(s(s(s(s(T63)))), s(s(0)), s(s(T65))) → QUOT135_IN_GA(T63, T65)
QUOT3_IN_GAA(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105))) → U9_GAA(T103, T105, quot253_in_ga(T103, T105))
QUOT3_IN_GAA(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105))) → QUOT253_IN_GA(T103, T105)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_GAA(T149, T151, quot400_in_ga(T149, T151))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151))) → QUOT400_IN_GA(T149, T151)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_GAA(T201, T203, quot576_in_ga(T201, T203))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → QUOT576_IN_GA(T201, T203)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_GAA(T259, T261, quot781_in_ga(T259, T261))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → QUOT781_IN_GA(T259, T261)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_GAA(T280, T283, quot3_in_gaa(T280, s(T281), T283))
QUOT3_IN_GAA(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_GAA(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → QUOT1007_IN_GAAA(T293, T294, T286, T288)
QUOT1007_IN_GAAA(T280, 0, T281, s(T283)) → U15_GAAA(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
QUOT1007_IN_GAAA(T280, 0, T281, s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT1007_IN_GAAA(s(T293), s(T294), T286, T288) → U16_GAAA(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
QUOT1007_IN_GAAA(s(T293), s(T294), T286, T288) → QUOT1007_IN_GAAA(T293, T294, T286, T288)
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_GGA(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
DIV1_IN_GGA(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → QUOT1007_IN_GGAA(T293, T294, T286, T288)
QUOT1007_IN_GGAA(T280, 0, T281, s(T283)) → U15_GGAA(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
QUOT1007_IN_GGAA(T280, 0, T281, s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT1007_IN_GGAA(s(T293), s(T294), T286, T288) → U16_GGAA(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
QUOT1007_IN_GGAA(s(T293), s(T294), T286, T288) → QUOT1007_IN_GGAA(T293, T294, T286, T288)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

(7) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 8 SCCs with 41 less nodes.

(8) Complex Obligation (AND)

(9) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT781_IN_GA(s(s(s(s(s(s(T259)))))), s(T261)) → QUOT781_IN_GA(T259, T261)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

(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:

QUOT781_IN_GA(s(s(s(s(s(s(T259)))))), s(T261)) → QUOT781_IN_GA(T259, T261)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOT781_IN_GA(x1, x2) = QUOT781_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(12) PiDPToQDPProof (SOUND 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:

QUOT781_IN_GA(s(s(s(s(s(s(T259))))))) → QUOT781_IN_GA(T259)

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:

QUOT781_IN_GA(s(s(s(s(s(s(T259))))))) → QUOT781_IN_GA(T259)
The graph contains the following edges 1 > 1

(15) TRUE

(16) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT576_IN_GA(s(s(s(s(s(T201))))), s(T203)) → QUOT576_IN_GA(T201, T203)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

(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:

QUOT576_IN_GA(s(s(s(s(s(T201))))), s(T203)) → QUOT576_IN_GA(T201, T203)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOT576_IN_GA(x1, x2) = QUOT576_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:

QUOT576_IN_GA(s(s(s(s(s(T201)))))) → QUOT576_IN_GA(T201)

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:

QUOT576_IN_GA(s(s(s(s(s(T201)))))) → QUOT576_IN_GA(T201)
The graph contains the following edges 1 > 1

(22) TRUE

(23) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT400_IN_GA(s(s(s(s(T149)))), s(T151)) → QUOT400_IN_GA(T149, T151)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

(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:

QUOT400_IN_GA(s(s(s(s(T149)))), s(T151)) → QUOT400_IN_GA(T149, T151)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOT400_IN_GA(x1, x2) = QUOT400_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(26) PiDPToQDPProof (SOUND 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:

QUOT400_IN_GA(s(s(s(s(T149))))) → QUOT400_IN_GA(T149)

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:

QUOT400_IN_GA(s(s(s(s(T149))))) → QUOT400_IN_GA(T149)
The graph contains the following edges 1 > 1

(29) TRUE

(30) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT253_IN_GA(s(s(s(T103))), s(T105)) → QUOT253_IN_GA(T103, T105)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

(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:

QUOT253_IN_GA(s(s(s(T103))), s(T105)) → QUOT253_IN_GA(T103, T105)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOT253_IN_GA(x1, x2) = QUOT253_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:

QUOT253_IN_GA(s(s(s(T103)))) → QUOT253_IN_GA(T103)

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:

QUOT253_IN_GA(s(s(s(T103)))) → QUOT253_IN_GA(T103)
The graph contains the following edges 1 > 1

(36) TRUE

(37) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT135_IN_GA(s(s(T63)), s(T65)) → QUOT135_IN_GA(T63, T65)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

(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:

QUOT135_IN_GA(s(s(T63)), s(T65)) → QUOT135_IN_GA(T63, T65)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOT135_IN_GA(x1, x2) = QUOT135_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(40) PiDPToQDPProof (SOUND 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:

QUOT135_IN_GA(s(s(T63))) → QUOT135_IN_GA(T63)

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:

QUOT135_IN_GA(s(s(T63))) → QUOT135_IN_GA(T63)
The graph contains the following edges 1 > 1

(43) TRUE

(44) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT46_IN_GA(s(T29), s(T31)) → QUOT46_IN_GA(T29, T31)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

(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:

QUOT46_IN_GA(s(T29), s(T31)) → QUOT46_IN_GA(T29, T31)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOT46_IN_GA(x1, x2) = QUOT46_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:

QUOT46_IN_GA(s(T29)) → QUOT46_IN_GA(T29)

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:

QUOT46_IN_GA(s(T29)) → QUOT46_IN_GA(T29)
The graph contains the following edges 1 > 1

(50) TRUE

(51) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → QUOT1007_IN_GAAA(T293, T294, T286, T288)
QUOT1007_IN_GAAA(T280, 0, T281, s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT1007_IN_GAAA(s(T293), s(T294), T286, T288) → QUOT1007_IN_GAAA(T293, T294, T286, T288)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

(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:

QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → QUOT1007_IN_GAAA(T293, T294, T286, T288)
QUOT1007_IN_GAAA(T280, 0, T281, s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → QUOT3_IN_GAA(T280, s(T281), T283)
QUOT1007_IN_GAAA(s(T293), s(T294), T286, T288) → QUOT1007_IN_GAAA(T293, T294, T286, T288)

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)
QUOT1007_IN_GAAA(x1, x2, x3, x4) = QUOT1007_IN_GAAA(x1)

We have to consider all (P,R,Pi)-chains

(54) PiDPToQDPProof (SOUND 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:

QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T293))))))))) → QUOT1007_IN_GAAA(T293)
QUOT1007_IN_GAAA(T280) → QUOT3_IN_GAA(T280)
QUOT3_IN_GAA(s(s(s(s(s(s(s(T280)))))))) → QUOT3_IN_GAA(T280)
QUOT1007_IN_GAAA(s(T293)) → QUOT1007_IN_GAAA(T293)

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:

QUOT1007_IN_GAAA(T280) → QUOT3_IN_GAA(T280)
The graph contains the following edges 1 >= 1
QUOT1007_IN_GAAA(s(T293)) → QUOT1007_IN_GAAA(T293)
The graph contains the following edges 1 > 1
QUOT3_IN_GAA(s(s(s(s(s(s(s(T280)))))))) → QUOT3_IN_GAA(T280)
The graph contains the following edges 1 > 1
QUOT3_IN_GAA(s(s(s(s(s(s(s(s(T293))))))))) → QUOT1007_IN_GAAA(T293)
The graph contains the following edges 1 > 1

(57) TRUE

(58) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOT1007_IN_GGAA(s(T293), s(T294), T286, T288) → QUOT1007_IN_GGAA(T293, T294, T286, T288)

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(T19)), 0) → div1_out_gga(s(0), s(s(T19)), 0)
div1_in_gga(s(0), s(0), s(0)) → div1_out_gga(s(0), s(0), s(0))
div1_in_gga(s(s(T29)), s(0), s(s(T31))) → U17_gga(T29, T31, quot46_in_ga(T29, T31))
quot46_in_ga(0, 0) → quot46_out_ga(0, 0)
quot46_in_ga(s(T29), s(T31)) → U1_ga(T29, T31, quot46_in_ga(T29, T31))
U1_ga(T29, T31, quot46_out_ga(T29, T31)) → quot46_out_ga(s(T29), s(T31))
U17_gga(T29, T31, quot46_out_ga(T29, T31)) → div1_out_gga(s(s(T29)), s(0), s(s(T31)))
div1_in_gga(s(s(0)), s(s(s(T47))), 0) → div1_out_gga(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U18_gga(T63, T65, quot135_in_ga(T63, T65))
quot135_in_ga(0, 0) → quot135_out_ga(0, 0)
quot135_in_ga(s(0), 0) → quot135_out_ga(s(0), 0)
quot135_in_ga(s(s(T63)), s(T65)) → U2_ga(T63, T65, quot135_in_ga(T63, T65))
U2_ga(T63, T65, quot135_out_ga(T63, T65)) → quot135_out_ga(s(s(T63)), s(T65))
U18_gga(T63, T65, quot135_out_ga(T63, T65)) → div1_out_gga(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
div1_in_gga(s(s(s(0))), s(s(s(s(T81)))), 0) → div1_out_gga(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U19_gga(T103, T105, quot253_in_ga(T103, T105))
quot253_in_ga(0, 0) → quot253_out_ga(0, 0)
quot253_in_ga(s(0), 0) → quot253_out_ga(s(0), 0)
quot253_in_ga(s(s(0)), 0) → quot253_out_ga(s(s(0)), 0)
quot253_in_ga(s(s(s(T103))), s(T105)) → U3_ga(T103, T105, quot253_in_ga(T103, T105))
U3_ga(T103, T105, quot253_out_ga(T103, T105)) → quot253_out_ga(s(s(s(T103))), s(T105))
U19_gga(T103, T105, quot253_out_ga(T103, T105)) → div1_out_gga(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
div1_in_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → div1_out_gga(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U20_gga(T149, T151, quot400_in_ga(T149, T151))
quot400_in_ga(0, 0) → quot400_out_ga(0, 0)
quot400_in_ga(s(0), 0) → quot400_out_ga(s(0), 0)
quot400_in_ga(s(s(0)), 0) → quot400_out_ga(s(s(0)), 0)
quot400_in_ga(s(s(s(0))), 0) → quot400_out_ga(s(s(s(0))), 0)
quot400_in_ga(s(s(s(s(T149)))), s(T151)) → U4_ga(T149, T151, quot400_in_ga(T149, T151))
U4_ga(T149, T151, quot400_out_ga(T149, T151)) → quot400_out_ga(s(s(s(s(T149)))), s(T151))
U20_gga(T149, T151, quot400_out_ga(T149, T151)) → div1_out_gga(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
div1_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → div1_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U21_gga(T201, T203, quot576_in_ga(T201, T203))
quot576_in_ga(0, 0) → quot576_out_ga(0, 0)
quot576_in_ga(s(0), 0) → quot576_out_ga(s(0), 0)
quot576_in_ga(s(s(0)), 0) → quot576_out_ga(s(s(0)), 0)
quot576_in_ga(s(s(s(0))), 0) → quot576_out_ga(s(s(s(0))), 0)
quot576_in_ga(s(s(s(s(0)))), 0) → quot576_out_ga(s(s(s(s(0)))), 0)
quot576_in_ga(s(s(s(s(s(T201))))), s(T203)) → U5_ga(T201, T203, quot576_in_ga(T201, T203))
U5_ga(T201, T203, quot576_out_ga(T201, T203)) → quot576_out_ga(s(s(s(s(s(T201))))), s(T203))
U21_gga(T201, T203, quot576_out_ga(T201, T203)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
div1_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → div1_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U22_gga(T259, T261, quot781_in_ga(T259, T261))
quot781_in_ga(0, 0) → quot781_out_ga(0, 0)
quot781_in_ga(s(0), 0) → quot781_out_ga(s(0), 0)
quot781_in_ga(s(s(0)), 0) → quot781_out_ga(s(s(0)), 0)
quot781_in_ga(s(s(s(0))), 0) → quot781_out_ga(s(s(s(0))), 0)
quot781_in_ga(s(s(s(s(0)))), 0) → quot781_out_ga(s(s(s(s(0)))), 0)
quot781_in_ga(s(s(s(s(s(0))))), 0) → quot781_out_ga(s(s(s(s(s(0))))), 0)
quot781_in_ga(s(s(s(s(s(s(T259)))))), s(T261)) → U6_ga(T259, T261, quot781_in_ga(T259, T261))
U6_ga(T259, T261, quot781_out_ga(T259, T261)) → quot781_out_ga(s(s(s(s(s(s(T259)))))), s(T261))
U22_gga(T259, T261, quot781_out_ga(T259, T261)) → div1_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
div1_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → div1_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
div1_in_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U23_gga(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(0, s(T8), 0) → quot3_out_gaa(0, s(T8), 0)
quot3_in_gaa(s(0), s(s(T19)), 0) → quot3_out_gaa(s(0), s(s(T19)), 0)
quot3_in_gaa(s(0), s(0), s(0)) → quot3_out_gaa(s(0), s(0), s(0))
quot3_in_gaa(s(s(T29)), s(0), s(s(T31))) → U7_gaa(T29, T31, quot46_in_ga(T29, T31))
U7_gaa(T29, T31, quot46_out_ga(T29, T31)) → quot3_out_gaa(s(s(T29)), s(0), s(s(T31)))
quot3_in_gaa(s(s(0)), s(s(s(T47))), 0) → quot3_out_gaa(s(s(0)), s(s(s(T47))), 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(T63)))), s(s(0)), s(s(T65))) → U8_gaa(T63, T65, quot135_in_ga(T63, T65))
U8_gaa(T63, T65, quot135_out_ga(T63, T65)) → quot3_out_gaa(s(s(s(s(T63)))), s(s(0)), s(s(T65)))
quot3_in_gaa(s(s(s(0))), s(s(s(s(T81)))), 0) → quot3_out_gaa(s(s(s(0))), s(s(s(s(T81)))), 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(T103)))))), s(s(s(0))), s(s(T105))) → U9_gaa(T103, T105, quot253_in_ga(T103, T105))
U9_gaa(T103, T105, quot253_out_ga(T103, T105)) → quot3_out_gaa(s(s(s(s(s(s(T103)))))), s(s(s(0))), s(s(T105)))
quot3_in_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 0) → quot3_out_gaa(s(s(s(s(0)))), s(s(s(s(s(T121))))), 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(T149)))))))), s(s(s(s(0)))), s(s(T151))) → U10_gaa(T149, T151, quot400_in_ga(T149, T151))
U10_gaa(T149, T151, quot400_out_ga(T149, T151)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T149)))))))), s(s(s(s(0)))), s(s(T151)))
quot3_in_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 0) → quot3_out_gaa(s(s(s(s(s(0))))), s(s(s(s(s(s(T167)))))), 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(T201)))))))))), s(s(s(s(s(0))))), s(s(T203))) → U11_gaa(T201, T203, quot576_in_ga(T201, T203))
U11_gaa(T201, T203, quot576_out_ga(T201, T203)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(T201)))))))))), s(s(s(s(s(0))))), s(s(T203)))
quot3_in_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T219))))))), 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(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261))) → U12_gaa(T259, T261, quot781_in_ga(T259, T261))
U12_gaa(T259, T261, quot781_out_ga(T259, T261)) → quot3_out_gaa(s(s(s(s(s(s(s(s(s(s(s(s(T259)))))))))))), s(s(s(s(s(s(0)))))), s(s(T261)))
quot3_in_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0) → quot3_out_gaa(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T278)))))))), 0)
quot3_in_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283)) → U13_gaa(T280, T283, quot3_in_gaa(T280, s(T281), T283))
quot3_in_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U14_gaa(T293, T294, T288, quot1007_in_gaaa(T293, T294, T286, T288))
quot1007_in_gaaa(0, s(T278), T279, 0) → quot1007_out_gaaa(0, s(T278), T279, 0)
quot1007_in_gaaa(T280, 0, T281, s(T283)) → U15_gaaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_gaaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_gaaa(T280, 0, T281, s(T283))
quot1007_in_gaaa(s(T293), s(T294), T286, T288) → U16_gaaa(T293, T294, T286, T288, quot1007_in_gaaa(T293, T294, T286, T288))
U16_gaaa(T293, T294, T286, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot1007_out_gaaa(s(T293), s(T294), T286, T288)
U14_gaa(T293, T294, T288, quot1007_out_gaaa(T293, T294, T286, T288)) → quot3_out_gaa(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)
U13_gaa(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → quot3_out_gaa(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
U23_gga(T280, T283, quot3_out_gaa(T280, s(T281), T283)) → div1_out_gga(s(s(s(s(s(s(s(T280))))))), s(s(s(s(s(s(s(0))))))), s(T283))
div1_in_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288) → U24_gga(T293, T294, T288, quot1007_in_ggaa(T293, T294, T286, T288))
quot1007_in_ggaa(0, s(T278), T279, 0) → quot1007_out_ggaa(0, s(T278), T279, 0)
quot1007_in_ggaa(T280, 0, T281, s(T283)) → U15_ggaa(T280, T281, T283, quot3_in_gaa(T280, s(T281), T283))
U15_ggaa(T280, T281, T283, quot3_out_gaa(T280, s(T281), T283)) → quot1007_out_ggaa(T280, 0, T281, s(T283))
quot1007_in_ggaa(s(T293), s(T294), T286, T288) → U16_ggaa(T293, T294, T286, T288, quot1007_in_ggaa(T293, T294, T286, T288))
U16_ggaa(T293, T294, T286, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → quot1007_out_ggaa(s(T293), s(T294), T286, T288)
U24_gga(T293, T294, T288, quot1007_out_ggaa(T293, T294, T286, T288)) → div1_out_gga(s(s(s(s(s(s(s(s(T293)))))))), s(s(s(s(s(s(s(s(T294)))))))), T288)

(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:

QUOT1007_IN_GGAA(s(T293), s(T294), T286, T288) → QUOT1007_IN_GGAA(T293, T294, T286, T288)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOT1007_IN_GGAA(x1, x2, x3, x4) = QUOT1007_IN_GGAA(x1, x2)

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:

QUOT1007_IN_GGAA(s(T293), s(T294)) → QUOT1007_IN_GGAA(T293, T294)

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:

QUOT1007_IN_GGAA(s(T293), s(T294)) → QUOT1007_IN_GGAA(T293, T294)
The graph contains the following edges 1 > 1, 2 > 2

(0) Obligation:

(1) PrologToPrologProblemTransformerProof (SOUND transformation)

(2) Obligation:

(3) PrologToPiTRSProof (SOUND transformation)

(4) Obligation:

(5) DependencyPairsProof (EQUIVALENT transformation)

(6) Obligation:

(7) DependencyGraphProof (EQUIVALENT transformation)

(8) Complex Obligation (AND)

(9) Obligation:

(10) UsableRulesProof (EQUIVALENT transformation)

(11) Obligation:

(12) PiDPToQDPProof (SOUND transformation)

(13) Obligation:

(14) QDPSizeChangeProof (EQUIVALENT transformation)

(15) TRUE

(16) Obligation:

(17) UsableRulesProof (EQUIVALENT transformation)

(18) Obligation:

(19) PiDPToQDPProof (SOUND transformation)

(20) Obligation:

(21) QDPSizeChangeProof (EQUIVALENT transformation)

(22) TRUE

(23) Obligation:

(24) UsableRulesProof (EQUIVALENT transformation)

(25) Obligation:

(26) PiDPToQDPProof (SOUND transformation)

(27) Obligation:

(28) QDPSizeChangeProof (EQUIVALENT transformation)

(29) TRUE

(30) Obligation:

(31) UsableRulesProof (EQUIVALENT transformation)

(32) Obligation:

(33) PiDPToQDPProof (SOUND transformation)

(34) Obligation:

(35) QDPSizeChangeProof (EQUIVALENT transformation)

(36) TRUE

(37) Obligation:

(38) UsableRulesProof (EQUIVALENT transformation)

(39) Obligation:

(40) PiDPToQDPProof (SOUND transformation)

(41) Obligation:

(42) QDPSizeChangeProof (EQUIVALENT transformation)

(43) TRUE

(44) Obligation:

(45) UsableRulesProof (EQUIVALENT transformation)

(46) Obligation:

(47) PiDPToQDPProof (SOUND transformation)

(48) Obligation:

(49) QDPSizeChangeProof (EQUIVALENT transformation)

(50) TRUE

(51) Obligation:

(52) UsableRulesProof (EQUIVALENT transformation)

(53) Obligation:

(54) PiDPToQDPProof (SOUND transformation)

(55) Obligation:

(56) QDPSizeChangeProof (EQUIVALENT transformation)

(57) TRUE

(58) Obligation:

(59) UsableRulesProof (EQUIVALENT transformation)

(60) Obligation:

(61) PiDPToQDPProof (SOUND transformation)

(62) Obligation:

(63) QDPSizeChangeProof (EQUIVALENT transformation)

(64) TRUE