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

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

0 Prolog

↳1 PrologToPrologProblemTransformerProof (⇒, 7874 ms)

↳2 Prolog

↳3 PrologToPiTRSProof (⇒, 181 ms)

↳4 PiTRS

↳5 DependencyPairsProof (⇔, 999 ms)

↳6 PiDP

↳7 DependencyGraphProof (⇔, 72 ms)

↳8 AND

    ↳9 PiDP

        ↳10 UsableRulesProof (⇔, 0 ms)

        ↳11 PiDP

        ↳12 PiDPToQDPProof (⇔, 19 ms)

        ↳13 QDP

        ↳14 QDPSizeChangeProof (⇔, 0 ms)

        ↳15 YES

    ↳16 PiDP

        ↳17 UsableRulesProof (⇔, 0 ms)

        ↳18 PiDP

        ↳19 PiDPToQDPProof (⇒, 0 ms)

        ↳20 QDP

        ↳21 QDPSizeChangeProof (⇔, 0 ms)

        ↳22 YES

    ↳23 PiDP

        ↳24 UsableRulesProof (⇔, 0 ms)

        ↳25 PiDP

        ↳26 PiDPToQDPProof (⇔, 0 ms)

        ↳27 QDP

        ↳28 QDPSizeChangeProof (⇔, 0 ms)

        ↳29 YES

    ↳30 PiDP

        ↳31 UsableRulesProof (⇔, 0 ms)

        ↳32 PiDP

        ↳33 PiDPToQDPProof (⇒, 0 ms)

        ↳34 QDP

        ↳35 QDPSizeChangeProof (⇔, 0 ms)

        ↳36 YES

    ↳37 PiDP

        ↳38 UsableRulesProof (⇔, 0 ms)

        ↳39 PiDP

        ↳40 PiDPToQDPProof (⇔, 0 ms)

        ↳41 QDP

        ↳42 QDPSizeChangeProof (⇔, 0 ms)

        ↳43 YES

    ↳44 PiDP

        ↳45 UsableRulesProof (⇔, 0 ms)

        ↳46 PiDP

        ↳47 PiDPToQDPProof (⇒, 0 ms)

        ↳48 QDP

        ↳49 QDPSizeChangeProof (⇔, 0 ms)

        ↳50 YES

    ↳51 PiDP

        ↳52 UsableRulesProof (⇔, 0 ms)

        ↳53 PiDP

        ↳54 PiDPToQDPProof (⇔, 0 ms)

        ↳55 QDP

        ↳56 QDPSizeChangeProof (⇔, 0 ms)

        ↳57 YES

    ↳58 PiDP

        ↳59 UsableRulesProof (⇔, 0 ms)

        ↳60 PiDP

        ↳61 PiDPToQDPProof (⇒, 0 ms)

        ↳62 QDP

        ↳63 QDPSizeChangeProof (⇔, 0 ms)

        ↳64 YES

    ↳65 PiDP

        ↳66 UsableRulesProof (⇔, 0 ms)

        ↳67 PiDP

        ↳68 PiDPToQDPProof (⇔, 0 ms)

        ↳69 QDP

        ↳70 QDPSizeChangeProof (⇔, 0 ms)

        ↳71 YES

    ↳72 PiDP

        ↳73 UsableRulesProof (⇔, 0 ms)

        ↳74 PiDP

        ↳75 PiDPToQDPProof (⇒, 0 ms)

        ↳76 QDP

        ↳77 QDPSizeChangeProof (⇔, 0 ms)

        ↳78 YES

    ↳79 PiDP

        ↳80 UsableRulesProof (⇔, 0 ms)

        ↳81 PiDP

        ↳82 PiDPToQDPProof (⇔, 0 ms)

        ↳83 QDP

        ↳84 QDPSizeChangeProof (⇔, 0 ms)

        ↳85 YES

    ↳86 PiDP

        ↳87 UsableRulesProof (⇔, 0 ms)

        ↳88 PiDP

        ↳89 PiDPToQDPProof (⇒, 0 ms)

        ↳90 QDP

        ↳91 QDPSizeChangeProof (⇔, 0 ms)

        ↳92 YES

    ↳93 PiDP

        ↳94 UsableRulesProof (⇔, 0 ms)

        ↳95 PiDP

        ↳96 PiDPToQDPProof (⇔, 0 ms)

        ↳97 QDP

        ↳98 QDPSizeChangeProof (⇔, 0 ms)

        ↳99 YES

    ↳100 PiDP

        ↳101 UsableRulesProof (⇔, 0 ms)

        ↳102 PiDP

        ↳103 PiDPToQDPProof (⇔, 0 ms)

        ↳104 QDP

        ↳105 QDPSizeChangeProof (⇔, 0 ms)

        ↳106 YES

    ↳107 PiDP

        ↳108 UsableRulesProof (⇔, 0 ms)

        ↳109 PiDP

        ↳110 PiDPToQDPProof (⇒, 0 ms)

        ↳111 QDP

        ↳112 QDPSizeChangeProof (⇔, 0 ms)

        ↳113 YES

    ↳114 PiDP

        ↳115 UsableRulesProof (⇔, 0 ms)

        ↳116 PiDP

        ↳117 PiDPToQDPProof (⇒, 0 ms)

        ↳118 QDP

        ↳119 QDPSizeChangeProof (⇔, 0 ms)

        ↳120 YES

(0) Obligation:

Clauses:

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

Query: div(g,g,a)

(1) PrologToPrologProblemTransformerProof (SOUND transformation)

Built Prolog problem from termination graph ICLP10.

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(T7, T8, T8, T10)\n\nT7 is ground\nT8 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4 [label="4: quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 1 | quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 2 | quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 3\n\nT7 is ground\nT8 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
5 [label="5: ','(!_2, eq(T17, 0)) | quot(0, s(T15), s(T15), T10), SCOPE: 2, CLAUSE: 2 | quot(0, s(T15), s(T15), T10), SCOPE: 2, CLAUSE: 3\n\nT15 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
6 [label="6: quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 2 | quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 3\n\nT7 is ground\nT8 is ground\nX14 is free\nX15 is free\nX16 is free\nquot(T7, T8, T8, T10) !=? quot(0, s(X14), s(X15), X16)", fontsize=16, style=filled, fillcolor=lightyellow];
7 [label="7: eq(T17, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
8 [label="8: eq(T17, 0), SCOPE: 3, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
9 [label="9: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
10 [label="10: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
11 [label="11: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
12 [label="12: quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 2\n\nT7 is ground\nT8 is ground\nX14 is free\nX15 is free\nX16 is free\nquot(T7, T8, T8, T10) !=? quot(0, s(X14), s(X15), X16)", fontsize=16, style=filled, fillcolor=lightyellow];
13 [label="13: quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 3\n\nT7 is ground\nT8 is ground\nX14 is free\nX15 is free\nX16 is free\nquot(T7, T8, T8, T10) !=? quot(0, s(X14), s(X15), X16)", fontsize=16, style=filled, fillcolor=lightyellow];
14 [label="14: ','(!_2, ','(eq(0, s(X39)), ','(p(T31, X40), quot(T29, 0, 0, X40))))\n\nT29 is ground\nX39 is free\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
15 [label="15: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
16 [label="16: ','(eq(0, s(X39)), ','(p(T31, X40), quot(T29, 0, 0, X40)))\n\nT29 is ground\nX39 is free\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
17 [label="17: ','(eq(0, s(X39)), ','(p(T31, X40), quot(T29, 0, 0, X40))), SCOPE: 4, CLAUSE: 6\n\nT29 is ground\nX39 is free\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
18 [label="18: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
19 [label="19: ','(p(T39, X58), quot(T38, X58, T39, T41))\n\nT38 is ground\nT39 is ground\nX58 is free", fontsize=16, style=filled, fillcolor=lightyellow];
20 [label="20: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
21 [label="21: ','(p(T39, X58), quot(T38, X58, T39, T41)), SCOPE: 5, CLAUSE: 4 | ','(p(T39, X58), quot(T38, X58, T39, T41)), SCOPE: 5, CLAUSE: 5\n\nT38 is ground\nT39 is ground\nX58 is free", fontsize=16, style=filled, fillcolor=lightyellow];
22 [label="22: ','(p(T39, X58), quot(T38, X58, T39, T41)), SCOPE: 5, CLAUSE: 4\n\nT38 is ground\nT39 is ground\nX58 is free", fontsize=16, style=filled, fillcolor=lightyellow];
23 [label="23: ','(p(T39, X58), quot(T38, X58, T39, T41)), SCOPE: 5, CLAUSE: 5\n\nT38 is ground\nT39 is ground\nX58 is free", fontsize=16, style=filled, fillcolor=lightyellow];
24 [label="24: quot(T38, 0, 0, T41)\n\nT38 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
25 [label="25: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
26 [label="26: quot(T38, 0, 0, T41), SCOPE: 6, CLAUSE: 1 | quot(T38, 0, 0, T41), SCOPE: 6, CLAUSE: 2 | quot(T38, 0, 0, T41), SCOPE: 6, CLAUSE: 3\n\nT38 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
27 [label="27: quot(T38, 0, 0, T41), SCOPE: 6, CLAUSE: 2 | quot(T38, 0, 0, T41), SCOPE: 6, CLAUSE: 3\n\nT38 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
28 [label="28: ','(!_6, ','(eq(0, s(X80)), ','(p(T51, X81), quot(T49, 0, 0, X81)))) | quot(T49, 0, 0, T41), SCOPE: 6, CLAUSE: 3\n\nT49 is ground\nX80 is free\nX81 is free", fontsize=16, style=filled, fillcolor=lightyellow];
29 [label="29: ','(eq(0, s(X80)), ','(p(T51, X81), quot(T49, 0, 0, X81)))\n\nT49 is ground\nX80 is free\nX81 is free", fontsize=16, style=filled, fillcolor=lightyellow];
30 [label="30: ','(eq(0, s(X80)), ','(p(T51, X81), quot(T49, 0, 0, X81))), SCOPE: 7, CLAUSE: 6\n\nT49 is ground\nX80 is free\nX81 is free", fontsize=16, style=filled, fillcolor=lightyellow];
31 [label="31: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
32 [label="32: quot(T38, T54, s(T54), T41)\n\nT38 is ground\nT54 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
33 [label="33: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
34 [label="34: quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 1 | quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 2 | quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 3\n\nT38 is ground\nT54 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
35 [label="35: ','(!_8, eq(T63, 0)) | quot(0, s(T61), s(s(T61)), T41), SCOPE: 8, CLAUSE: 2 | quot(0, s(T61), s(s(T61)), T41), SCOPE: 8, CLAUSE: 3\n\nT61 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
36 [label="36: quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 2 | quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 3\n\nT38 is ground\nT54 is ground\nX98 is free\nX99 is free\nX100 is free\nquot(T38, T54, s(T54), T41) !=? quot(0, s(X98), s(X99), X100)", fontsize=16, style=filled, fillcolor=lightyellow];
37 [label="37: eq(T63, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
38 [label="38: eq(T63, 0), SCOPE: 9, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
39 [label="39: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
40 [label="40: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
41 [label="41: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
42 [label="42: quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 2\n\nT38 is ground\nT54 is ground\nX98 is free\nX99 is free\nX100 is free\nquot(T38, T54, s(T54), T41) !=? quot(0, s(X98), s(X99), X100)", fontsize=16, style=filled, fillcolor=lightyellow];
43 [label="43: quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 3\n\nT38 is ground\nT54 is ground\nX98 is free\nX99 is free\nX100 is free\nquot(T38, T54, s(T54), T41) !=? quot(0, s(X98), s(X99), X100)", fontsize=16, style=filled, fillcolor=lightyellow];
44 [label="44: ','(!_8, ','(eq(s(0), s(X123)), ','(p(T77, X124), quot(T75, s(0), s(0), X124))))\n\nT75 is ground\nX123 is free\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
45 [label="45: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
46 [label="46: ','(eq(s(0), s(X123)), ','(p(T77, X124), quot(T75, s(0), s(0), X124)))\n\nT75 is ground\nX123 is free\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
47 [label="47: ','(eq(s(0), s(X123)), ','(p(T77, X124), quot(T75, s(0), s(0), X124))), SCOPE: 10, CLAUSE: 6\n\nT75 is ground\nX123 is free\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
48 [label="48: ','(p(T77, X124), quot(T75, s(0), s(0), X124))\n\nT75 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
49 [label="49: ','(p(T77, X124), quot(T75, s(0), s(0), X124)), SCOPE: 11, CLAUSE: 4 | ','(p(T77, X124), quot(T75, s(0), s(0), X124)), SCOPE: 11, CLAUSE: 5\n\nT75 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
50 [label="50: ','(p(T77, X124), quot(T75, s(0), s(0), X124)), SCOPE: 11, CLAUSE: 4\n\nT75 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
51 [label="51: ','(p(T77, X124), quot(T75, s(0), s(0), X124)), SCOPE: 11, CLAUSE: 5\n\nT75 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
52 [label="52: quot(T75, s(0), s(0), 0)\n\nT75 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
53 [label="53: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
54 [label="54: quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 1 | quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 2 | quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 3\n\nT75 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
55 [label="55: ','(!_12, eq(0, 0)) | quot(0, s(0), s(0), 0), SCOPE: 12, CLAUSE: 2 | quot(0, s(0), s(0), 0), SCOPE: 12, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
56 [label="56: quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 2 | quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 3\n\nT75 is ground\nX149 is free\nX150 is free\nX151 is free\nquot(T75, s(0), s(0), 0) !=? quot(0, s(X149), s(X150), X151)", fontsize=16, style=filled, fillcolor=lightyellow];
57 [label="57: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
58 [label="58: eq(0, 0), SCOPE: 13, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
59 [label="59: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
60 [label="60: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
61 [label="61: quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 3\n\nT75 is ground\nX149 is free\nX150 is free\nX151 is free\nquot(T75, s(0), s(0), 0) !=? quot(0, s(X149), s(X150), X151)", fontsize=16, style=filled, fillcolor=lightyellow];
62 [label="62: ','(p(s(0), X171), quot(T81, X171, s(0), 0))\n\nT81 is ground\nX171 is free", fontsize=16, style=filled, fillcolor=lightyellow];
63 [label="63: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
64 [label="64: ','(p(s(0), X171), quot(T81, X171, s(0), 0)), SCOPE: 14, CLAUSE: 4 | ','(p(s(0), X171), quot(T81, X171, s(0), 0)), SCOPE: 14, CLAUSE: 5\n\nT81 is ground\nX171 is free", fontsize=16, style=filled, fillcolor=lightyellow];
65 [label="65: ','(p(s(0), X171), quot(T81, X171, s(0), 0)), SCOPE: 14, CLAUSE: 5\n\nT81 is ground\nX171 is free", fontsize=16, style=filled, fillcolor=lightyellow];
66 [label="66: quot(T81, 0, s(0), 0)\n\nT81 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
67 [label="67: quot(T81, 0, s(0), 0), SCOPE: 15, CLAUSE: 1 | quot(T81, 0, s(0), 0), SCOPE: 15, CLAUSE: 2 | quot(T81, 0, s(0), 0), SCOPE: 15, CLAUSE: 3\n\nT81 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
68 [label="68: quot(T81, 0, s(0), 0), SCOPE: 15, CLAUSE: 2 | quot(T81, 0, s(0), 0), SCOPE: 15, CLAUSE: 3\n\nT81 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
69 [label="69: ','(!_15, ','(eq(s(0), s(X199)), ','(p(0, X200), quot(T84, s(0), s(0), X200)))) | quot(T84, 0, s(0), 0), SCOPE: 15, CLAUSE: 3\n\nT84 is ground\nX199 is free\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
70 [label="70: ','(eq(s(0), s(X199)), ','(p(0, X200), quot(T84, s(0), s(0), X200)))\n\nT84 is ground\nX199 is free\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
71 [label="71: ','(eq(s(0), s(X199)), ','(p(0, X200), quot(T84, s(0), s(0), X200))), SCOPE: 16, CLAUSE: 6\n\nT84 is ground\nX199 is free\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
72 [label="72: ','(p(0, X200), quot(T84, s(0), s(0), X200))\n\nT84 is ground\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
73 [label="73: ','(p(0, X200), quot(T84, s(0), s(0), X200)), SCOPE: 17, CLAUSE: 4 | ','(p(0, X200), quot(T84, s(0), s(0), X200)), SCOPE: 17, CLAUSE: 5\n\nT84 is ground\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
74 [label="74: ','(p(0, X200), quot(T84, s(0), s(0), X200)), SCOPE: 17, CLAUSE: 4\n\nT84 is ground\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
75 [label="75: ','(p(0, X200), quot(T84, s(0), s(0), X200)), SCOPE: 17, CLAUSE: 5\n\nT84 is ground\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
76 [label="76: quot(T84, s(0), s(0), 0)\n\nT84 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
77 [label="77: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
78 [label="78: quot(T75, s(0), s(0), T88)\n\nT75 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
79 [label="79: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
80 [label="80: quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 1 | quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 2 | quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 3\n\nT75 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
81 [label="81: ','(!_18, eq(T93, 0)) | quot(0, s(0), s(0), T88), SCOPE: 18, CLAUSE: 2 | quot(0, s(0), s(0), T88), SCOPE: 18, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
82 [label="82: quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 2 | quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 3\n\nT75 is ground\nX238 is free\nX239 is free\nX240 is free\nquot(T75, s(0), s(0), T88) !=? quot(0, s(X238), s(X239), X240)", fontsize=16, style=filled, fillcolor=lightyellow];
83 [label="83: eq(T93, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
84 [label="84: eq(T93, 0), SCOPE: 19, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
85 [label="85: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
86 [label="86: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
87 [label="87: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
88 [label="88: quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 3\n\nT75 is ground\nX238 is free\nX239 is free\nX240 is free\nquot(T75, s(0), s(0), T88) !=? quot(0, s(X238), s(X239), X240)", fontsize=16, style=filled, fillcolor=lightyellow];
89 [label="89: ','(p(s(0), X260), quot(T102, X260, s(0), T104))\n\nT102 is ground\nX260 is free", fontsize=16, style=filled, fillcolor=lightyellow];
90 [label="90: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
91 [label="91: ','(p(s(0), X260), quot(T102, X260, s(0), T104)), SCOPE: 20, CLAUSE: 4 | ','(p(s(0), X260), quot(T102, X260, s(0), T104)), SCOPE: 20, CLAUSE: 5\n\nT102 is ground\nX260 is free", fontsize=16, style=filled, fillcolor=lightyellow];
92 [label="92: ','(p(s(0), X260), quot(T102, X260, s(0), T104)), SCOPE: 20, CLAUSE: 5\n\nT102 is ground\nX260 is free", fontsize=16, style=filled, fillcolor=lightyellow];
93 [label="93: quot(T102, 0, s(0), T104)\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
94 [label="94: quot(T102, 0, s(0), T104), SCOPE: 21, CLAUSE: 1 | quot(T102, 0, s(0), T104), SCOPE: 21, CLAUSE: 2 | quot(T102, 0, s(0), T104), SCOPE: 21, CLAUSE: 3\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
95 [label="95: quot(T102, 0, s(0), T104), SCOPE: 21, CLAUSE: 2 | quot(T102, 0, s(0), T104), SCOPE: 21, CLAUSE: 3\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
96 [label="96: ','(!_21, ','(eq(s(0), s(X288)), ','(p(T113, X289), quot(T111, s(0), s(0), X289)))) | quot(T111, 0, s(0), T104), SCOPE: 21, CLAUSE: 3\n\nT111 is ground\nX288 is free\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
97 [label="97: ','(eq(s(0), s(X288)), ','(p(T113, X289), quot(T111, s(0), s(0), X289)))\n\nT111 is ground\nX288 is free\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
98 [label="98: ','(eq(s(0), s(X288)), ','(p(T113, X289), quot(T111, s(0), s(0), X289))), SCOPE: 22, CLAUSE: 6\n\nT111 is ground\nX288 is free\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
99 [label="99: ','(p(T113, X289), quot(T111, s(0), s(0), X289))\n\nT111 is ground\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
100 [label="100: ','(p(T113, X289), quot(T111, s(0), s(0), X289)), SCOPE: 23, CLAUSE: 4 | ','(p(T113, X289), quot(T111, s(0), s(0), X289)), SCOPE: 23, CLAUSE: 5\n\nT111 is ground\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
101 [label="101: ','(p(T113, X289), quot(T111, s(0), s(0), X289)), SCOPE: 23, CLAUSE: 4\n\nT111 is ground\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
102 [label="102: ','(p(T113, X289), quot(T111, s(0), s(0), X289)), SCOPE: 23, CLAUSE: 5\n\nT111 is ground\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
103 [label="103: quot(T111, s(0), s(0), 0)\n\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
104 [label="104: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
105 [label="105: quot(T111, s(0), s(0), T117)\n\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
106 [label="106: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
107 [label="107: ','(p(T126, X327), quot(T125, X327, s(T126), T128))\n\nT125 is ground\nT126 is ground\nX327 is free", fontsize=16, style=filled, fillcolor=lightyellow];
108 [label="108: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
109 [label="109: ','(p(T126, X327), quot(T125, X327, s(T126), T128)), SCOPE: 24, CLAUSE: 4 | ','(p(T126, X327), quot(T125, X327, s(T126), T128)), SCOPE: 24, CLAUSE: 5\n\nT125 is ground\nT126 is ground\nX327 is free", fontsize=16, style=filled, fillcolor=lightyellow];
110 [label="110: ','(p(T126, X327), quot(T125, X327, s(T126), T128)), SCOPE: 24, CLAUSE: 4\n\nT125 is ground\nT126 is ground\nX327 is free", fontsize=16, style=filled, fillcolor=lightyellow];
111 [label="111: ','(p(T126, X327), quot(T125, X327, s(T126), T128)), SCOPE: 24, CLAUSE: 5\n\nT125 is ground\nT126 is ground\nX327 is free", fontsize=16, style=filled, fillcolor=lightyellow];
112 [label="112: quot(T125, 0, s(0), T128)\n\nT125 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
113 [label="113: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
114 [label="114: quot(T125, T133, s(s(T133)), T128)\n\nT125 is ground\nT133 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
115 [label="115: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
116 [label="116: quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 1 | quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 2 | quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 3\n\nT125 is ground\nT133 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
117 [label="117: ','(!_25, eq(T142, 0)) | quot(0, s(T140), s(s(s(T140))), T128), SCOPE: 25, CLAUSE: 2 | quot(0, s(T140), s(s(s(T140))), T128), SCOPE: 25, CLAUSE: 3\n\nT140 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
118 [label="118: quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 2 | quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 3\n\nT125 is ground\nT133 is ground\nX347 is free\nX348 is free\nX349 is free\nquot(T125, T133, s(s(T133)), T128) !=? quot(0, s(X347), s(X348), X349)", fontsize=16, style=filled, fillcolor=lightyellow];
119 [label="119: eq(T142, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
120 [label="120: eq(T142, 0), SCOPE: 26, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
121 [label="121: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
122 [label="122: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
123 [label="123: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
124 [label="124: quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 2\n\nT125 is ground\nT133 is ground\nX347 is free\nX348 is free\nX349 is free\nquot(T125, T133, s(s(T133)), T128) !=? quot(0, s(X347), s(X348), X349)", fontsize=16, style=filled, fillcolor=lightyellow];
125 [label="125: quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 3\n\nT125 is ground\nT133 is ground\nX347 is free\nX348 is free\nX349 is free\nquot(T125, T133, s(s(T133)), T128) !=? quot(0, s(X347), s(X348), X349)", fontsize=16, style=filled, fillcolor=lightyellow];
126 [label="126: ','(!_25, ','(eq(s(s(0)), s(X372)), ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373))))\n\nT154 is ground\nX372 is free\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
127 [label="127: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
128 [label="128: ','(eq(s(s(0)), s(X372)), ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373)))\n\nT154 is ground\nX372 is free\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
129 [label="129: ','(eq(s(s(0)), s(X372)), ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373))), SCOPE: 27, CLAUSE: 6\n\nT154 is ground\nX372 is free\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
130 [label="130: ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373))\n\nT154 is ground\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
131 [label="131: ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373)), SCOPE: 28, CLAUSE: 4 | ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373)), SCOPE: 28, CLAUSE: 5\n\nT154 is ground\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
132 [label="132: ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373)), SCOPE: 28, CLAUSE: 4\n\nT154 is ground\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
133 [label="133: ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373)), SCOPE: 28, CLAUSE: 5\n\nT154 is ground\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
134 [label="134: quot(T154, s(s(0)), s(s(0)), 0)\n\nT154 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
135 [label="135: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
136 [label="136: quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 1 | quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 2 | quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 3\n\nT154 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
137 [label="137: ','(!_29, eq(0, 0)) | quot(0, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 2 | quot(0, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
138 [label="138: quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 2 | quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 3\n\nT154 is ground\nX398 is free\nX399 is free\nX400 is free\nquot(T154, s(s(0)), s(s(0)), 0) !=? quot(0, s(X398), s(X399), X400)", fontsize=16, style=filled, fillcolor=lightyellow];
139 [label="139: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
140 [label="140: eq(0, 0), SCOPE: 30, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
141 [label="141: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
142 [label="142: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
143 [label="143: quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 3\n\nT154 is ground\nX398 is free\nX399 is free\nX400 is free\nquot(T154, s(s(0)), s(s(0)), 0) !=? quot(0, s(X398), s(X399), X400)", fontsize=16, style=filled, fillcolor=lightyellow];
144 [label="144: ','(p(s(s(0)), X420), quot(T160, X420, s(s(0)), 0))\n\nT160 is ground\nX420 is free", fontsize=16, style=filled, fillcolor=lightyellow];
145 [label="145: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
146 [label="146: ','(p(s(s(0)), X420), quot(T160, X420, s(s(0)), 0)), SCOPE: 31, CLAUSE: 4 | ','(p(s(s(0)), X420), quot(T160, X420, s(s(0)), 0)), SCOPE: 31, CLAUSE: 5\n\nT160 is ground\nX420 is free", fontsize=16, style=filled, fillcolor=lightyellow];
147 [label="147: ','(p(s(s(0)), X420), quot(T160, X420, s(s(0)), 0)), SCOPE: 31, CLAUSE: 5\n\nT160 is ground\nX420 is free", fontsize=16, style=filled, fillcolor=lightyellow];
148 [label="148: quot(T160, s(0), s(s(0)), 0)\n\nT160 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
149 [label="149: quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 1 | quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 2 | quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 3\n\nT160 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
150 [label="150: ','(!_32, eq(0, 0)) | quot(0, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 2 | quot(0, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
151 [label="151: quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 2 | quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 3\n\nT160 is ground\nX440 is free\nX441 is free\nX442 is free\nquot(T160, s(0), s(s(0)), 0) !=? quot(0, s(X440), s(X441), X442)", fontsize=16, style=filled, fillcolor=lightyellow];
152 [label="152: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
153 [label="153: eq(0, 0), SCOPE: 33, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
154 [label="154: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
155 [label="155: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
156 [label="156: quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 3\n\nT160 is ground\nX440 is free\nX441 is free\nX442 is free\nquot(T160, s(0), s(s(0)), 0) !=? quot(0, s(X440), s(X441), X442)", fontsize=16, style=filled, fillcolor=lightyellow];
157 [label="157: ','(p(s(0), X462), quot(T164, X462, s(s(0)), 0))\n\nT164 is ground\nX462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
158 [label="158: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
159 [label="159: ','(p(s(0), X462), quot(T164, X462, s(s(0)), 0)), SCOPE: 34, CLAUSE: 4 | ','(p(s(0), X462), quot(T164, X462, s(s(0)), 0)), SCOPE: 34, CLAUSE: 5\n\nT164 is ground\nX462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
160 [label="160: ','(p(s(0), X462), quot(T164, X462, s(s(0)), 0)), SCOPE: 34, CLAUSE: 5\n\nT164 is ground\nX462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
161 [label="161: quot(T164, 0, s(s(0)), 0)\n\nT164 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
162 [label="162: quot(T164, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 1 | quot(T164, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 2 | quot(T164, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 3\n\nT164 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
163 [label="163: quot(T164, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 2 | quot(T164, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 3\n\nT164 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
164 [label="164: ','(!_35, ','(eq(s(s(0)), s(X490)), ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)))) | quot(T167, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 3\n\nT167 is ground\nX490 is free\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
165 [label="165: ','(eq(s(s(0)), s(X490)), ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)))\n\nT167 is ground\nX490 is free\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
166 [label="166: ','(eq(s(s(0)), s(X490)), ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491))), SCOPE: 36, CLAUSE: 6\n\nT167 is ground\nX490 is free\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
167 [label="167: ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491))\n\nT167 is ground\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
168 [label="168: ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)), SCOPE: 37, CLAUSE: 4 | ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)), SCOPE: 37, CLAUSE: 5\n\nT167 is ground\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
169 [label="169: ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)), SCOPE: 37, CLAUSE: 4\n\nT167 is ground\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
170 [label="170: ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)), SCOPE: 37, CLAUSE: 5\n\nT167 is ground\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
171 [label="171: quot(T167, s(s(0)), s(s(0)), 0)\n\nT167 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
172 [label="172: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
173 [label="173: quot(T154, s(s(0)), s(s(0)), T171)\n\nT154 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
174 [label="174: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
175 [label="175: quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 1 | quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 2 | quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 3\n\nT154 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
176 [label="176: ','(!_38, eq(T176, 0)) | quot(0, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 2 | quot(0, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
177 [label="177: quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 2 | quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 3\n\nT154 is ground\nX529 is free\nX530 is free\nX531 is free\nquot(T154, s(s(0)), s(s(0)), T171) !=? quot(0, s(X529), s(X530), X531)", fontsize=16, style=filled, fillcolor=lightyellow];
178 [label="178: eq(T176, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
179 [label="179: eq(T176, 0), SCOPE: 39, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
180 [label="180: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
181 [label="181: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
182 [label="182: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
183 [label="183: quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 3\n\nT154 is ground\nX529 is free\nX530 is free\nX531 is free\nquot(T154, s(s(0)), s(s(0)), T171) !=? quot(0, s(X529), s(X530), X531)", fontsize=16, style=filled, fillcolor=lightyellow];
184 [label="184: ','(p(s(s(0)), X551), quot(T185, X551, s(s(0)), T187))\n\nT185 is ground\nX551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
185 [label="185: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
186 [label="186: ','(p(s(s(0)), X551), quot(T185, X551, s(s(0)), T187)), SCOPE: 40, CLAUSE: 4 | ','(p(s(s(0)), X551), quot(T185, X551, s(s(0)), T187)), SCOPE: 40, CLAUSE: 5\n\nT185 is ground\nX551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
187 [label="187: ','(p(s(s(0)), X551), quot(T185, X551, s(s(0)), T187)), SCOPE: 40, CLAUSE: 5\n\nT185 is ground\nX551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
188 [label="188: quot(T185, s(0), s(s(0)), T187)\n\nT185 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
189 [label="189: quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 1 | quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 2 | quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 3\n\nT185 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
190 [label="190: ','(!_41, eq(T194, 0)) | quot(0, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 2 | quot(0, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
191 [label="191: quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 2 | quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 3\n\nT185 is ground\nX571 is free\nX572 is free\nX573 is free\nquot(T185, s(0), s(s(0)), T187) !=? quot(0, s(X571), s(X572), X573)", fontsize=16, style=filled, fillcolor=lightyellow];
192 [label="192: eq(T194, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
193 [label="193: eq(T194, 0), SCOPE: 42, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
194 [label="194: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
195 [label="195: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
196 [label="196: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
197 [label="197: quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 3\n\nT185 is ground\nX571 is free\nX572 is free\nX573 is free\nquot(T185, s(0), s(s(0)), T187) !=? quot(0, s(X571), s(X572), X573)", fontsize=16, style=filled, fillcolor=lightyellow];
198 [label="198: ','(p(s(0), X593), quot(T203, X593, s(s(0)), T205))\n\nT203 is ground\nX593 is free", fontsize=16, style=filled, fillcolor=lightyellow];
199 [label="199: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
200 [label="200: ','(p(s(0), X593), quot(T203, X593, s(s(0)), T205)), SCOPE: 43, CLAUSE: 4 | ','(p(s(0), X593), quot(T203, X593, s(s(0)), T205)), SCOPE: 43, CLAUSE: 5\n\nT203 is ground\nX593 is free", fontsize=16, style=filled, fillcolor=lightyellow];
201 [label="201: ','(p(s(0), X593), quot(T203, X593, s(s(0)), T205)), SCOPE: 43, CLAUSE: 5\n\nT203 is ground\nX593 is free", fontsize=16, style=filled, fillcolor=lightyellow];
202 [label="202: quot(T203, 0, s(s(0)), T205)\n\nT203 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
203 [label="203: quot(T203, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 1 | quot(T203, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 2 | quot(T203, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 3\n\nT203 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
204 [label="204: quot(T203, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 2 | quot(T203, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 3\n\nT203 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
205 [label="205: ','(!_44, ','(eq(s(s(0)), s(X621)), ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)))) | quot(T212, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 3\n\nT212 is ground\nX621 is free\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
206 [label="206: ','(eq(s(s(0)), s(X621)), ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)))\n\nT212 is ground\nX621 is free\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
207 [label="207: ','(eq(s(s(0)), s(X621)), ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622))), SCOPE: 45, CLAUSE: 6\n\nT212 is ground\nX621 is free\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
208 [label="208: ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622))\n\nT212 is ground\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
209 [label="209: ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)), SCOPE: 46, CLAUSE: 4 | ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)), SCOPE: 46, CLAUSE: 5\n\nT212 is ground\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
210 [label="210: ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)), SCOPE: 46, CLAUSE: 4\n\nT212 is ground\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
211 [label="211: ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)), SCOPE: 46, CLAUSE: 5\n\nT212 is ground\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
212 [label="212: quot(T212, s(s(0)), s(s(0)), 0)\n\nT212 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
213 [label="213: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
214 [label="214: quot(T212, s(s(0)), s(s(0)), T218)\n\nT212 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
215 [label="215: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
216 [label="216: ','(p(T227, X660), quot(T226, X660, s(s(T227)), T229))\n\nT226 is ground\nT227 is ground\nX660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
217 [label="217: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
218 [label="218: ','(p(T227, X660), quot(T226, X660, s(s(T227)), T229)), SCOPE: 47, CLAUSE: 4 | ','(p(T227, X660), quot(T226, X660, s(s(T227)), T229)), SCOPE: 47, CLAUSE: 5\n\nT226 is ground\nT227 is ground\nX660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
219 [label="219: ','(p(T227, X660), quot(T226, X660, s(s(T227)), T229)), SCOPE: 47, CLAUSE: 4\n\nT226 is ground\nT227 is ground\nX660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
220 [label="220: ','(p(T227, X660), quot(T226, X660, s(s(T227)), T229)), SCOPE: 47, CLAUSE: 5\n\nT226 is ground\nT227 is ground\nX660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
221 [label="221: quot(T226, 0, s(s(0)), T229)\n\nT226 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
222 [label="222: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
223 [label="223: quot(T226, T234, s(s(s(T234))), T229)\n\nT226 is ground\nT234 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
224 [label="224: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
225 [label="225: quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 1 | quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 2 | quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 3\n\nT226 is ground\nT234 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
226 [label="226: ','(!_48, eq(T243, 0)) | quot(0, s(T241), s(s(s(s(T241)))), T229), SCOPE: 48, CLAUSE: 2 | quot(0, s(T241), s(s(s(s(T241)))), T229), SCOPE: 48, CLAUSE: 3\n\nT241 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
227 [label="227: quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 2 | quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 3\n\nT226 is ground\nT234 is ground\nX680 is free\nX681 is free\nX682 is free\nquot(T226, T234, s(s(s(T234))), T229) !=? quot(0, s(X680), s(X681), X682)", fontsize=16, style=filled, fillcolor=lightyellow];
228 [label="228: eq(T243, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
229 [label="229: eq(T243, 0), SCOPE: 49, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
230 [label="230: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
231 [label="231: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
232 [label="232: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
233 [label="233: quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 2\n\nT226 is ground\nT234 is ground\nX680 is free\nX681 is free\nX682 is free\nquot(T226, T234, s(s(s(T234))), T229) !=? quot(0, s(X680), s(X681), X682)", fontsize=16, style=filled, fillcolor=lightyellow];
234 [label="234: quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 3\n\nT226 is ground\nT234 is ground\nX680 is free\nX681 is free\nX682 is free\nquot(T226, T234, s(s(s(T234))), T229) !=? quot(0, s(X680), s(X681), X682)", fontsize=16, style=filled, fillcolor=lightyellow];
235 [label="235: ','(!_48, ','(eq(s(s(s(0))), s(X705)), ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706))))\n\nT255 is ground\nX705 is free\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
236 [label="236: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
237 [label="237: ','(eq(s(s(s(0))), s(X705)), ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706)))\n\nT255 is ground\nX705 is free\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
238 [label="238: ','(eq(s(s(s(0))), s(X705)), ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706))), SCOPE: 50, CLAUSE: 6\n\nT255 is ground\nX705 is free\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
239 [label="239: ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706))\n\nT255 is ground\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
240 [label="240: ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706)), SCOPE: 51, CLAUSE: 4 | ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706)), SCOPE: 51, CLAUSE: 5\n\nT255 is ground\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
241 [label="241: ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706)), SCOPE: 51, CLAUSE: 4\n\nT255 is ground\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
242 [label="242: ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706)), SCOPE: 51, CLAUSE: 5\n\nT255 is ground\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
243 [label="243: quot(T255, s(s(s(0))), s(s(s(0))), 0)\n\nT255 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
244 [label="244: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
245 [label="245: quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 1 | quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 2 | quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 3\n\nT255 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
246 [label="246: ','(!_52, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
247 [label="247: quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 2 | quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 3\n\nT255 is ground\nX731 is free\nX732 is free\nX733 is free\nquot(T255, s(s(s(0))), s(s(s(0))), 0) !=? quot(0, s(X731), s(X732), X733)", fontsize=16, style=filled, fillcolor=lightyellow];
248 [label="248: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
249 [label="249: eq(0, 0), SCOPE: 53, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
250 [label="250: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
251 [label="251: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
252 [label="252: quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 3\n\nT255 is ground\nX731 is free\nX732 is free\nX733 is free\nquot(T255, s(s(s(0))), s(s(s(0))), 0) !=? quot(0, s(X731), s(X732), X733)", fontsize=16, style=filled, fillcolor=lightyellow];
253 [label="253: ','(p(s(s(s(0))), X753), quot(T261, X753, s(s(s(0))), 0))\n\nT261 is ground\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
254 [label="254: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
255 [label="255: ','(p(s(s(s(0))), X753), quot(T261, X753, s(s(s(0))), 0)), SCOPE: 54, CLAUSE: 4 | ','(p(s(s(s(0))), X753), quot(T261, X753, s(s(s(0))), 0)), SCOPE: 54, CLAUSE: 5\n\nT261 is ground\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
256 [label="256: ','(p(s(s(s(0))), X753), quot(T261, X753, s(s(s(0))), 0)), SCOPE: 54, CLAUSE: 5\n\nT261 is ground\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
257 [label="257: quot(T261, s(s(0)), s(s(s(0))), 0)\n\nT261 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
258 [label="258: quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 1 | quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 2 | quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 3\n\nT261 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
259 [label="259: ','(!_55, eq(0, 0)) | quot(0, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
260 [label="260: quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 2 | quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 3\n\nT261 is ground\nX773 is free\nX774 is free\nX775 is free\nquot(T261, s(s(0)), s(s(s(0))), 0) !=? quot(0, s(X773), s(X774), X775)", fontsize=16, style=filled, fillcolor=lightyellow];
261 [label="261: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
262 [label="262: eq(0, 0), SCOPE: 56, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
263 [label="263: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
264 [label="264: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
265 [label="265: quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 3\n\nT261 is ground\nX773 is free\nX774 is free\nX775 is free\nquot(T261, s(s(0)), s(s(s(0))), 0) !=? quot(0, s(X773), s(X774), X775)", fontsize=16, style=filled, fillcolor=lightyellow];
266 [label="266: ','(p(s(s(0)), X795), quot(T265, X795, s(s(s(0))), 0))\n\nT265 is ground\nX795 is free", fontsize=16, style=filled, fillcolor=lightyellow];
267 [label="267: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
268 [label="268: ','(p(s(s(0)), X795), quot(T265, X795, s(s(s(0))), 0)), SCOPE: 57, CLAUSE: 4 | ','(p(s(s(0)), X795), quot(T265, X795, s(s(s(0))), 0)), SCOPE: 57, CLAUSE: 5\n\nT265 is ground\nX795 is free", fontsize=16, style=filled, fillcolor=lightyellow];
269 [label="269: ','(p(s(s(0)), X795), quot(T265, X795, s(s(s(0))), 0)), SCOPE: 57, CLAUSE: 5\n\nT265 is ground\nX795 is free", fontsize=16, style=filled, fillcolor=lightyellow];
270 [label="270: quot(T265, s(0), s(s(s(0))), 0)\n\nT265 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
271 [label="271: quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 1 | quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 2 | quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 3\n\nT265 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
272 [label="272: ','(!_58, eq(0, 0)) | quot(0, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 2 | quot(0, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
273 [label="273: quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 2 | quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 3\n\nT265 is ground\nX815 is free\nX816 is free\nX817 is free\nquot(T265, s(0), s(s(s(0))), 0) !=? quot(0, s(X815), s(X816), X817)", fontsize=16, style=filled, fillcolor=lightyellow];
274 [label="274: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
275 [label="275: eq(0, 0), SCOPE: 59, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
276 [label="276: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
277 [label="277: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
278 [label="278: quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 3\n\nT265 is ground\nX815 is free\nX816 is free\nX817 is free\nquot(T265, s(0), s(s(s(0))), 0) !=? quot(0, s(X815), s(X816), X817)", fontsize=16, style=filled, fillcolor=lightyellow];
279 [label="279: ','(p(s(0), X837), quot(T269, X837, s(s(s(0))), 0))\n\nT269 is ground\nX837 is free", fontsize=16, style=filled, fillcolor=lightyellow];
280 [label="280: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
281 [label="281: ','(p(s(0), X837), quot(T269, X837, s(s(s(0))), 0)), SCOPE: 60, CLAUSE: 4 | ','(p(s(0), X837), quot(T269, X837, s(s(s(0))), 0)), SCOPE: 60, CLAUSE: 5\n\nT269 is ground\nX837 is free", fontsize=16, style=filled, fillcolor=lightyellow];
282 [label="282: ','(p(s(0), X837), quot(T269, X837, s(s(s(0))), 0)), SCOPE: 60, CLAUSE: 5\n\nT269 is ground\nX837 is free", fontsize=16, style=filled, fillcolor=lightyellow];
283 [label="283: quot(T269, 0, s(s(s(0))), 0)\n\nT269 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
284 [label="284: quot(T269, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 1 | quot(T269, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 2 | quot(T269, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 3\n\nT269 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
285 [label="285: quot(T269, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 2 | quot(T269, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 3\n\nT269 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
286 [label="286: ','(!_61, ','(eq(s(s(s(0))), s(X865)), ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)))) | quot(T272, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 3\n\nT272 is ground\nX865 is free\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
287 [label="287: ','(eq(s(s(s(0))), s(X865)), ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)))\n\nT272 is ground\nX865 is free\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
288 [label="288: ','(eq(s(s(s(0))), s(X865)), ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866))), SCOPE: 62, CLAUSE: 6\n\nT272 is ground\nX865 is free\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
289 [label="289: ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866))\n\nT272 is ground\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
290 [label="290: ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)), SCOPE: 63, CLAUSE: 4 | ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)), SCOPE: 63, CLAUSE: 5\n\nT272 is ground\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
291 [label="291: ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)), SCOPE: 63, CLAUSE: 4\n\nT272 is ground\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
292 [label="292: ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)), SCOPE: 63, CLAUSE: 5\n\nT272 is ground\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
293 [label="293: quot(T272, s(s(s(0))), s(s(s(0))), 0)\n\nT272 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
294 [label="294: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
295 [label="295: quot(T255, s(s(s(0))), s(s(s(0))), T276)\n\nT255 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
296 [label="296: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
297 [label="297: quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 1 | quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 2 | quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 3\n\nT255 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
298 [label="298: ','(!_64, eq(T281, 0)) | quot(0, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
299 [label="299: quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 2 | quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 3\n\nT255 is ground\nX904 is free\nX905 is free\nX906 is free\nquot(T255, s(s(s(0))), s(s(s(0))), T276) !=? quot(0, s(X904), s(X905), X906)", fontsize=16, style=filled, fillcolor=lightyellow];
300 [label="300: eq(T281, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
301 [label="301: eq(T281, 0), SCOPE: 65, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
302 [label="302: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
303 [label="303: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
304 [label="304: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
305 [label="305: quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 3\n\nT255 is ground\nX904 is free\nX905 is free\nX906 is free\nquot(T255, s(s(s(0))), s(s(s(0))), T276) !=? quot(0, s(X904), s(X905), X906)", fontsize=16, style=filled, fillcolor=lightyellow];
306 [label="306: ','(p(s(s(s(0))), X926), quot(T290, X926, s(s(s(0))), T292))\n\nT290 is ground\nX926 is free", fontsize=16, style=filled, fillcolor=lightyellow];
307 [label="307: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
308 [label="308: ','(p(s(s(s(0))), X926), quot(T290, X926, s(s(s(0))), T292)), SCOPE: 66, CLAUSE: 4 | ','(p(s(s(s(0))), X926), quot(T290, X926, s(s(s(0))), T292)), SCOPE: 66, CLAUSE: 5\n\nT290 is ground\nX926 is free", fontsize=16, style=filled, fillcolor=lightyellow];
309 [label="309: ','(p(s(s(s(0))), X926), quot(T290, X926, s(s(s(0))), T292)), SCOPE: 66, CLAUSE: 5\n\nT290 is ground\nX926 is free", fontsize=16, style=filled, fillcolor=lightyellow];
310 [label="310: quot(T290, s(s(0)), s(s(s(0))), T292)\n\nT290 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
311 [label="311: quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 1 | quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 2 | quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 3\n\nT290 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
312 [label="312: ','(!_67, eq(T299, 0)) | quot(0, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
313 [label="313: quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 2 | quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 3\n\nT290 is ground\nX946 is free\nX947 is free\nX948 is free\nquot(T290, s(s(0)), s(s(s(0))), T292) !=? quot(0, s(X946), s(X947), X948)", fontsize=16, style=filled, fillcolor=lightyellow];
314 [label="314: eq(T299, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
315 [label="315: eq(T299, 0), SCOPE: 68, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
316 [label="316: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
317 [label="317: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
318 [label="318: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
319 [label="319: quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 3\n\nT290 is ground\nX946 is free\nX947 is free\nX948 is free\nquot(T290, s(s(0)), s(s(s(0))), T292) !=? quot(0, s(X946), s(X947), X948)", fontsize=16, style=filled, fillcolor=lightyellow];
320 [label="320: ','(p(s(s(0)), X968), quot(T308, X968, s(s(s(0))), T310))\n\nT308 is ground\nX968 is free", fontsize=16, style=filled, fillcolor=lightyellow];
321 [label="321: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
322 [label="322: ','(p(s(s(0)), X968), quot(T308, X968, s(s(s(0))), T310)), SCOPE: 69, CLAUSE: 4 | ','(p(s(s(0)), X968), quot(T308, X968, s(s(s(0))), T310)), SCOPE: 69, CLAUSE: 5\n\nT308 is ground\nX968 is free", fontsize=16, style=filled, fillcolor=lightyellow];
323 [label="323: ','(p(s(s(0)), X968), quot(T308, X968, s(s(s(0))), T310)), SCOPE: 69, CLAUSE: 5\n\nT308 is ground\nX968 is free", fontsize=16, style=filled, fillcolor=lightyellow];
324 [label="324: quot(T308, s(0), s(s(s(0))), T310)\n\nT308 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
325 [label="325: quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 1 | quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 2 | quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 3\n\nT308 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
326 [label="326: ','(!_70, eq(T317, 0)) | quot(0, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 2 | quot(0, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
327 [label="327: quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 2 | quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 3\n\nT308 is ground\nX988 is free\nX989 is free\nX990 is free\nquot(T308, s(0), s(s(s(0))), T310) !=? quot(0, s(X988), s(X989), X990)", fontsize=16, style=filled, fillcolor=lightyellow];
328 [label="328: eq(T317, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
329 [label="329: eq(T317, 0), SCOPE: 71, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
330 [label="330: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
331 [label="331: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
332 [label="332: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
333 [label="333: quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 3\n\nT308 is ground\nX988 is free\nX989 is free\nX990 is free\nquot(T308, s(0), s(s(s(0))), T310) !=? quot(0, s(X988), s(X989), X990)", fontsize=16, style=filled, fillcolor=lightyellow];
334 [label="334: ','(p(s(0), X1010), quot(T326, X1010, s(s(s(0))), T328))\n\nT326 is ground\nX1010 is free", fontsize=16, style=filled, fillcolor=lightyellow];
335 [label="335: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
336 [label="336: ','(p(s(0), X1010), quot(T326, X1010, s(s(s(0))), T328)), SCOPE: 72, CLAUSE: 4 | ','(p(s(0), X1010), quot(T326, X1010, s(s(s(0))), T328)), SCOPE: 72, CLAUSE: 5\n\nT326 is ground\nX1010 is free", fontsize=16, style=filled, fillcolor=lightyellow];
337 [label="337: ','(p(s(0), X1010), quot(T326, X1010, s(s(s(0))), T328)), SCOPE: 72, CLAUSE: 5\n\nT326 is ground\nX1010 is free", fontsize=16, style=filled, fillcolor=lightyellow];
338 [label="338: quot(T326, 0, s(s(s(0))), T328)\n\nT326 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
339 [label="339: quot(T326, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 1 | quot(T326, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 2 | quot(T326, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 3\n\nT326 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
340 [label="340: quot(T326, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 2 | quot(T326, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 3\n\nT326 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
341 [label="341: ','(!_73, ','(eq(s(s(s(0))), s(X1038)), ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)))) | quot(T335, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 3\n\nT335 is ground\nX1038 is free\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
342 [label="342: ','(eq(s(s(s(0))), s(X1038)), ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)))\n\nT335 is ground\nX1038 is free\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
343 [label="343: ','(eq(s(s(s(0))), s(X1038)), ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039))), SCOPE: 74, CLAUSE: 6\n\nT335 is ground\nX1038 is free\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
344 [label="344: ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039))\n\nT335 is ground\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
345 [label="345: ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)), SCOPE: 75, CLAUSE: 4 | ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)), SCOPE: 75, CLAUSE: 5\n\nT335 is ground\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
346 [label="346: ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)), SCOPE: 75, CLAUSE: 4\n\nT335 is ground\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
347 [label="347: ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)), SCOPE: 75, CLAUSE: 5\n\nT335 is ground\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
348 [label="348: quot(T335, s(s(s(0))), s(s(s(0))), 0)\n\nT335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
349 [label="349: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
350 [label="350: quot(T335, s(s(s(0))), s(s(s(0))), T341)\n\nT335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
351 [label="351: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
352 [label="352: ','(p(T350, X1077), quot(T349, X1077, s(s(s(T350))), T352))\n\nT349 is ground\nT350 is ground\nX1077 is free", fontsize=16, style=filled, fillcolor=lightyellow];
353 [label="353: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
354 [label="354: ','(p(T350, X1077), quot(T349, X1077, s(s(s(T350))), T352)), SCOPE: 76, CLAUSE: 4 | ','(p(T350, X1077), quot(T349, X1077, s(s(s(T350))), T352)), SCOPE: 76, CLAUSE: 5\n\nT349 is ground\nT350 is ground\nX1077 is free", fontsize=16, style=filled, fillcolor=lightyellow];
355 [label="355: ','(p(T350, X1077), quot(T349, X1077, s(s(s(T350))), T352)), SCOPE: 76, CLAUSE: 4\n\nT349 is ground\nT350 is ground\nX1077 is free", fontsize=16, style=filled, fillcolor=lightyellow];
356 [label="356: ','(p(T350, X1077), quot(T349, X1077, s(s(s(T350))), T352)), SCOPE: 76, CLAUSE: 5\n\nT349 is ground\nT350 is ground\nX1077 is free", fontsize=16, style=filled, fillcolor=lightyellow];
357 [label="357: quot(T349, 0, s(s(s(0))), T352)\n\nT349 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
358 [label="358: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
359 [label="359: quot(T349, T357, s(s(s(s(T357)))), T352)\n\nT349 is ground\nT357 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
360 [label="360: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
361 [label="361: quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 1 | quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 2 | quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 3\n\nT349 is ground\nT357 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
362 [label="362: ','(!_77, eq(T366, 0)) | quot(0, s(T364), s(s(s(s(s(T364))))), T352), SCOPE: 77, CLAUSE: 2 | quot(0, s(T364), s(s(s(s(s(T364))))), T352), SCOPE: 77, CLAUSE: 3\n\nT364 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
363 [label="363: quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 2 | quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 3\n\nT349 is ground\nT357 is ground\nX1097 is free\nX1098 is free\nX1099 is free\nquot(T349, T357, s(s(s(s(T357)))), T352) !=? quot(0, s(X1097), s(X1098), X1099)", fontsize=16, style=filled, fillcolor=lightyellow];
364 [label="364: eq(T366, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
365 [label="365: eq(T366, 0), SCOPE: 78, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
366 [label="366: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
367 [label="367: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
368 [label="368: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
369 [label="369: quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 2\n\nT349 is ground\nT357 is ground\nX1097 is free\nX1098 is free\nX1099 is free\nquot(T349, T357, s(s(s(s(T357)))), T352) !=? quot(0, s(X1097), s(X1098), X1099)", fontsize=16, style=filled, fillcolor=lightyellow];
370 [label="370: quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 3\n\nT349 is ground\nT357 is ground\nX1097 is free\nX1098 is free\nX1099 is free\nquot(T349, T357, s(s(s(s(T357)))), T352) !=? quot(0, s(X1097), s(X1098), X1099)", fontsize=16, style=filled, fillcolor=lightyellow];
371 [label="371: ','(!_77, ','(eq(s(s(s(s(0)))), s(X1122)), ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123))))\n\nT378 is ground\nX1122 is free\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
372 [label="372: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
373 [label="373: ','(eq(s(s(s(s(0)))), s(X1122)), ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123)))\n\nT378 is ground\nX1122 is free\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
374 [label="374: ','(eq(s(s(s(s(0)))), s(X1122)), ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123))), SCOPE: 79, CLAUSE: 6\n\nT378 is ground\nX1122 is free\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
375 [label="375: ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123))\n\nT378 is ground\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
376 [label="376: ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123)), SCOPE: 80, CLAUSE: 4 | ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123)), SCOPE: 80, CLAUSE: 5\n\nT378 is ground\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
377 [label="377: ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123)), SCOPE: 80, CLAUSE: 4\n\nT378 is ground\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
378 [label="378: ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123)), SCOPE: 80, CLAUSE: 5\n\nT378 is ground\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
379 [label="379: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0)\n\nT378 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
380 [label="380: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
381 [label="381: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 1 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 2 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 3\n\nT378 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
382 [label="382: ','(!_81, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
383 [label="383: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 2 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 3\n\nT378 is ground\nX1148 is free\nX1149 is free\nX1150 is free\nquot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0) !=? quot(0, s(X1148), s(X1149), X1150)", fontsize=16, style=filled, fillcolor=lightyellow];
384 [label="384: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
385 [label="385: eq(0, 0), SCOPE: 82, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
386 [label="386: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
387 [label="387: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
388 [label="388: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 3\n\nT378 is ground\nX1148 is free\nX1149 is free\nX1150 is free\nquot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0) !=? quot(0, s(X1148), s(X1149), X1150)", fontsize=16, style=filled, fillcolor=lightyellow];
389 [label="389: ','(p(s(s(s(s(0)))), X1170), quot(T384, X1170, s(s(s(s(0)))), 0))\n\nT384 is ground\nX1170 is free", fontsize=16, style=filled, fillcolor=lightyellow];
390 [label="390: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
391 [label="391: ','(p(s(s(s(s(0)))), X1170), quot(T384, X1170, s(s(s(s(0)))), 0)), SCOPE: 83, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X1170), quot(T384, X1170, s(s(s(s(0)))), 0)), SCOPE: 83, CLAUSE: 5\n\nT384 is ground\nX1170 is free", fontsize=16, style=filled, fillcolor=lightyellow];
392 [label="392: ','(p(s(s(s(s(0)))), X1170), quot(T384, X1170, s(s(s(s(0)))), 0)), SCOPE: 83, CLAUSE: 5\n\nT384 is ground\nX1170 is free", fontsize=16, style=filled, fillcolor=lightyellow];
393 [label="393: quot(T384, s(s(s(0))), s(s(s(s(0)))), 0)\n\nT384 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
394 [label="394: quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 1 | quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 2 | quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 3\n\nT384 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
395 [label="395: ','(!_84, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
396 [label="396: quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 2 | quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 3\n\nT384 is ground\nX1190 is free\nX1191 is free\nX1192 is free\nquot(T384, s(s(s(0))), s(s(s(s(0)))), 0) !=? quot(0, s(X1190), s(X1191), X1192)", fontsize=16, style=filled, fillcolor=lightyellow];
397 [label="397: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
398 [label="398: eq(0, 0), SCOPE: 85, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
399 [label="399: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
400 [label="400: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
401 [label="401: quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 3\n\nT384 is ground\nX1190 is free\nX1191 is free\nX1192 is free\nquot(T384, s(s(s(0))), s(s(s(s(0)))), 0) !=? quot(0, s(X1190), s(X1191), X1192)", fontsize=16, style=filled, fillcolor=lightyellow];
402 [label="402: ','(p(s(s(s(0))), X1212), quot(T388, X1212, s(s(s(s(0)))), 0))\n\nT388 is ground\nX1212 is free", fontsize=16, style=filled, fillcolor=lightyellow];
403 [label="403: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
404 [label="404: ','(p(s(s(s(0))), X1212), quot(T388, X1212, s(s(s(s(0)))), 0)), SCOPE: 86, CLAUSE: 4 | ','(p(s(s(s(0))), X1212), quot(T388, X1212, s(s(s(s(0)))), 0)), SCOPE: 86, CLAUSE: 5\n\nT388 is ground\nX1212 is free", fontsize=16, style=filled, fillcolor=lightyellow];
405 [label="405: ','(p(s(s(s(0))), X1212), quot(T388, X1212, s(s(s(s(0)))), 0)), SCOPE: 86, CLAUSE: 5\n\nT388 is ground\nX1212 is free", fontsize=16, style=filled, fillcolor=lightyellow];
406 [label="406: quot(T388, s(s(0)), s(s(s(s(0)))), 0)\n\nT388 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
407 [label="407: quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 1 | quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 2 | quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 3\n\nT388 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
408 [label="408: ','(!_87, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
409 [label="409: quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 2 | quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 3\n\nT388 is ground\nX1232 is free\nX1233 is free\nX1234 is free\nquot(T388, s(s(0)), s(s(s(s(0)))), 0) !=? quot(0, s(X1232), s(X1233), X1234)", fontsize=16, style=filled, fillcolor=lightyellow];
410 [label="410: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
411 [label="411: eq(0, 0), SCOPE: 88, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
412 [label="412: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
413 [label="413: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
414 [label="414: quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 3\n\nT388 is ground\nX1232 is free\nX1233 is free\nX1234 is free\nquot(T388, s(s(0)), s(s(s(s(0)))), 0) !=? quot(0, s(X1232), s(X1233), X1234)", fontsize=16, style=filled, fillcolor=lightyellow];
415 [label="415: ','(p(s(s(0)), X1254), quot(T392, X1254, s(s(s(s(0)))), 0))\n\nT392 is ground\nX1254 is free", fontsize=16, style=filled, fillcolor=lightyellow];
416 [label="416: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
417 [label="417: ','(p(s(s(0)), X1254), quot(T392, X1254, s(s(s(s(0)))), 0)), SCOPE: 89, CLAUSE: 4 | ','(p(s(s(0)), X1254), quot(T392, X1254, s(s(s(s(0)))), 0)), SCOPE: 89, CLAUSE: 5\n\nT392 is ground\nX1254 is free", fontsize=16, style=filled, fillcolor=lightyellow];
418 [label="418: ','(p(s(s(0)), X1254), quot(T392, X1254, s(s(s(s(0)))), 0)), SCOPE: 89, CLAUSE: 5\n\nT392 is ground\nX1254 is free", fontsize=16, style=filled, fillcolor=lightyellow];
419 [label="419: quot(T392, s(0), s(s(s(s(0)))), 0)\n\nT392 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
420 [label="420: quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 1 | quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 2 | quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 3\n\nT392 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
421 [label="421: ','(!_90, eq(0, 0)) | quot(0, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 2 | quot(0, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
422 [label="422: quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 2 | quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 3\n\nT392 is ground\nX1274 is free\nX1275 is free\nX1276 is free\nquot(T392, s(0), s(s(s(s(0)))), 0) !=? quot(0, s(X1274), s(X1275), X1276)", fontsize=16, style=filled, fillcolor=lightyellow];
423 [label="423: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
424 [label="424: eq(0, 0), SCOPE: 91, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
425 [label="425: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
426 [label="426: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
427 [label="427: quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 3\n\nT392 is ground\nX1274 is free\nX1275 is free\nX1276 is free\nquot(T392, s(0), s(s(s(s(0)))), 0) !=? quot(0, s(X1274), s(X1275), X1276)", fontsize=16, style=filled, fillcolor=lightyellow];
428 [label="428: ','(p(s(0), X1296), quot(T396, X1296, s(s(s(s(0)))), 0))\n\nT396 is ground\nX1296 is free", fontsize=16, style=filled, fillcolor=lightyellow];
429 [label="429: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
430 [label="430: ','(p(s(0), X1296), quot(T396, X1296, s(s(s(s(0)))), 0)), SCOPE: 92, CLAUSE: 4 | ','(p(s(0), X1296), quot(T396, X1296, s(s(s(s(0)))), 0)), SCOPE: 92, CLAUSE: 5\n\nT396 is ground\nX1296 is free", fontsize=16, style=filled, fillcolor=lightyellow];
431 [label="431: ','(p(s(0), X1296), quot(T396, X1296, s(s(s(s(0)))), 0)), SCOPE: 92, CLAUSE: 5\n\nT396 is ground\nX1296 is free", fontsize=16, style=filled, fillcolor=lightyellow];
432 [label="432: quot(T396, 0, s(s(s(s(0)))), 0)\n\nT396 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
433 [label="433: quot(T396, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 1 | quot(T396, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 2 | quot(T396, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 3\n\nT396 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
434 [label="434: quot(T396, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 2 | quot(T396, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 3\n\nT396 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
435 [label="435: ','(!_93, ','(eq(s(s(s(s(0)))), s(X1324)), ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)))) | quot(T399, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 3\n\nT399 is ground\nX1324 is free\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
436 [label="436: ','(eq(s(s(s(s(0)))), s(X1324)), ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)))\n\nT399 is ground\nX1324 is free\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
437 [label="437: ','(eq(s(s(s(s(0)))), s(X1324)), ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325))), SCOPE: 94, CLAUSE: 6\n\nT399 is ground\nX1324 is free\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
438 [label="438: ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325))\n\nT399 is ground\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
439 [label="439: ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)), SCOPE: 95, CLAUSE: 4 | ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)), SCOPE: 95, CLAUSE: 5\n\nT399 is ground\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
440 [label="440: ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)), SCOPE: 95, CLAUSE: 4\n\nT399 is ground\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
441 [label="441: ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)), SCOPE: 95, CLAUSE: 5\n\nT399 is ground\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
442 [label="442: quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), 0)\n\nT399 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
443 [label="443: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
444 [label="444: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403)\n\nT378 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
445 [label="445: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
446 [label="446: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 1 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 2 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 3\n\nT378 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
447 [label="447: ','(!_96, eq(T408, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
448 [label="448: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 2 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 3\n\nT378 is ground\nX1363 is free\nX1364 is free\nX1365 is free\nquot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403) !=? quot(0, s(X1363), s(X1364), X1365)", fontsize=16, style=filled, fillcolor=lightyellow];
449 [label="449: eq(T408, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
450 [label="450: eq(T408, 0), SCOPE: 97, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
451 [label="451: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
452 [label="452: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
453 [label="453: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
454 [label="454: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 3\n\nT378 is ground\nX1363 is free\nX1364 is free\nX1365 is free\nquot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403) !=? quot(0, s(X1363), s(X1364), X1365)", fontsize=16, style=filled, fillcolor=lightyellow];
455 [label="455: ','(p(s(s(s(s(0)))), X1385), quot(T417, X1385, s(s(s(s(0)))), T419))\n\nT417 is ground\nX1385 is free", fontsize=16, style=filled, fillcolor=lightyellow];
456 [label="456: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
457 [label="457: ','(p(s(s(s(s(0)))), X1385), quot(T417, X1385, s(s(s(s(0)))), T419)), SCOPE: 98, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X1385), quot(T417, X1385, s(s(s(s(0)))), T419)), SCOPE: 98, CLAUSE: 5\n\nT417 is ground\nX1385 is free", fontsize=16, style=filled, fillcolor=lightyellow];
458 [label="458: ','(p(s(s(s(s(0)))), X1385), quot(T417, X1385, s(s(s(s(0)))), T419)), SCOPE: 98, CLAUSE: 5\n\nT417 is ground\nX1385 is free", fontsize=16, style=filled, fillcolor=lightyellow];
459 [label="459: quot(T417, s(s(s(0))), s(s(s(s(0)))), T419)\n\nT417 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
460 [label="460: quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 1 | quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 2 | quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 3\n\nT417 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
461 [label="461: ','(!_99, eq(T426, 0)) | quot(0, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
462 [label="462: quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 2 | quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 3\n\nT417 is ground\nX1405 is free\nX1406 is free\nX1407 is free\nquot(T417, s(s(s(0))), s(s(s(s(0)))), T419) !=? quot(0, s(X1405), s(X1406), X1407)", fontsize=16, style=filled, fillcolor=lightyellow];
463 [label="463: eq(T426, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
464 [label="464: eq(T426, 0), SCOPE: 100, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
465 [label="465: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
466 [label="466: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
467 [label="467: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
468 [label="468: quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 3\n\nT417 is ground\nX1405 is free\nX1406 is free\nX1407 is free\nquot(T417, s(s(s(0))), s(s(s(s(0)))), T419) !=? quot(0, s(X1405), s(X1406), X1407)", fontsize=16, style=filled, fillcolor=lightyellow];
469 [label="469: ','(p(s(s(s(0))), X1427), quot(T435, X1427, s(s(s(s(0)))), T437))\n\nT435 is ground\nX1427 is free", fontsize=16, style=filled, fillcolor=lightyellow];
470 [label="470: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
471 [label="471: ','(p(s(s(s(0))), X1427), quot(T435, X1427, s(s(s(s(0)))), T437)), SCOPE: 101, CLAUSE: 4 | ','(p(s(s(s(0))), X1427), quot(T435, X1427, s(s(s(s(0)))), T437)), SCOPE: 101, CLAUSE: 5\n\nT435 is ground\nX1427 is free", fontsize=16, style=filled, fillcolor=lightyellow];
472 [label="472: ','(p(s(s(s(0))), X1427), quot(T435, X1427, s(s(s(s(0)))), T437)), SCOPE: 101, CLAUSE: 5\n\nT435 is ground\nX1427 is free", fontsize=16, style=filled, fillcolor=lightyellow];
473 [label="473: quot(T435, s(s(0)), s(s(s(s(0)))), T437)\n\nT435 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
474 [label="474: quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 1 | quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 2 | quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 3\n\nT435 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
475 [label="475: ','(!_102, eq(T444, 0)) | quot(0, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
476 [label="476: quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 2 | quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 3\n\nT435 is ground\nX1447 is free\nX1448 is free\nX1449 is free\nquot(T435, s(s(0)), s(s(s(s(0)))), T437) !=? quot(0, s(X1447), s(X1448), X1449)", fontsize=16, style=filled, fillcolor=lightyellow];
477 [label="477: eq(T444, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
478 [label="478: eq(T444, 0), SCOPE: 103, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
479 [label="479: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
480 [label="480: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
481 [label="481: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
482 [label="482: quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 3\n\nT435 is ground\nX1447 is free\nX1448 is free\nX1449 is free\nquot(T435, s(s(0)), s(s(s(s(0)))), T437) !=? quot(0, s(X1447), s(X1448), X1449)", fontsize=16, style=filled, fillcolor=lightyellow];
483 [label="483: ','(p(s(s(0)), X1469), quot(T453, X1469, s(s(s(s(0)))), T455))\n\nT453 is ground\nX1469 is free", fontsize=16, style=filled, fillcolor=lightyellow];
484 [label="484: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
485 [label="485: ','(p(s(s(0)), X1469), quot(T453, X1469, s(s(s(s(0)))), T455)), SCOPE: 104, CLAUSE: 4 | ','(p(s(s(0)), X1469), quot(T453, X1469, s(s(s(s(0)))), T455)), SCOPE: 104, CLAUSE: 5\n\nT453 is ground\nX1469 is free", fontsize=16, style=filled, fillcolor=lightyellow];
486 [label="486: ','(p(s(s(0)), X1469), quot(T453, X1469, s(s(s(s(0)))), T455)), SCOPE: 104, CLAUSE: 5\n\nT453 is ground\nX1469 is free", fontsize=16, style=filled, fillcolor=lightyellow];
487 [label="487: quot(T453, s(0), s(s(s(s(0)))), T455)\n\nT453 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
488 [label="488: quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 1 | quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 2 | quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 3\n\nT453 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
489 [label="489: ','(!_105, eq(T462, 0)) | quot(0, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 2 | quot(0, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
490 [label="490: quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 2 | quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 3\n\nT453 is ground\nX1489 is free\nX1490 is free\nX1491 is free\nquot(T453, s(0), s(s(s(s(0)))), T455) !=? quot(0, s(X1489), s(X1490), X1491)", fontsize=16, style=filled, fillcolor=lightyellow];
491 [label="491: eq(T462, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
492 [label="492: eq(T462, 0), SCOPE: 106, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
493 [label="493: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
494 [label="494: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
495 [label="495: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
496 [label="496: quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 3\n\nT453 is ground\nX1489 is free\nX1490 is free\nX1491 is free\nquot(T453, s(0), s(s(s(s(0)))), T455) !=? quot(0, s(X1489), s(X1490), X1491)", fontsize=16, style=filled, fillcolor=lightyellow];
497 [label="497: ','(p(s(0), X1511), quot(T471, X1511, s(s(s(s(0)))), T473))\n\nT471 is ground\nX1511 is free", fontsize=16, style=filled, fillcolor=lightyellow];
498 [label="498: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
499 [label="499: ','(p(s(0), X1511), quot(T471, X1511, s(s(s(s(0)))), T473)), SCOPE: 107, CLAUSE: 4 | ','(p(s(0), X1511), quot(T471, X1511, s(s(s(s(0)))), T473)), SCOPE: 107, CLAUSE: 5\n\nT471 is ground\nX1511 is free", fontsize=16, style=filled, fillcolor=lightyellow];
500 [label="500: ','(p(s(0), X1511), quot(T471, X1511, s(s(s(s(0)))), T473)), SCOPE: 107, CLAUSE: 5\n\nT471 is ground\nX1511 is free", fontsize=16, style=filled, fillcolor=lightyellow];
501 [label="501: quot(T471, 0, s(s(s(s(0)))), T473)\n\nT471 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
502 [label="502: quot(T471, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 1 | quot(T471, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 2 | quot(T471, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 3\n\nT471 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
503 [label="503: quot(T471, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 2 | quot(T471, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 3\n\nT471 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
504 [label="504: ','(!_108, ','(eq(s(s(s(s(0)))), s(X1539)), ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)))) | quot(T480, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 3\n\nT480 is ground\nX1539 is free\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
505 [label="505: ','(eq(s(s(s(s(0)))), s(X1539)), ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)))\n\nT480 is ground\nX1539 is free\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
506 [label="506: ','(eq(s(s(s(s(0)))), s(X1539)), ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540))), SCOPE: 109, CLAUSE: 6\n\nT480 is ground\nX1539 is free\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
507 [label="507: ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540))\n\nT480 is ground\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
508 [label="508: ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)), SCOPE: 110, CLAUSE: 4 | ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)), SCOPE: 110, CLAUSE: 5\n\nT480 is ground\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
509 [label="509: ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)), SCOPE: 110, CLAUSE: 4\n\nT480 is ground\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
510 [label="510: ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)), SCOPE: 110, CLAUSE: 5\n\nT480 is ground\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
511 [label="511: quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), 0)\n\nT480 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
512 [label="512: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
513 [label="513: quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), T486)\n\nT480 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
514 [label="514: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
515 [label="515: ','(p(T495, X1578), quot(T494, X1578, s(s(s(s(T495)))), T497))\n\nT494 is ground\nT495 is ground\nX1578 is free", fontsize=16, style=filled, fillcolor=lightyellow];
516 [label="516: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
517 [label="517: ','(p(T495, X1578), quot(T494, X1578, s(s(s(s(T495)))), T497)), SCOPE: 111, CLAUSE: 4 | ','(p(T495, X1578), quot(T494, X1578, s(s(s(s(T495)))), T497)), SCOPE: 111, CLAUSE: 5\n\nT494 is ground\nT495 is ground\nX1578 is free", fontsize=16, style=filled, fillcolor=lightyellow];
518 [label="518: ','(p(T495, X1578), quot(T494, X1578, s(s(s(s(T495)))), T497)), SCOPE: 111, CLAUSE: 4\n\nT494 is ground\nT495 is ground\nX1578 is free", fontsize=16, style=filled, fillcolor=lightyellow];
519 [label="519: ','(p(T495, X1578), quot(T494, X1578, s(s(s(s(T495)))), T497)), SCOPE: 111, CLAUSE: 5\n\nT494 is ground\nT495 is ground\nX1578 is free", fontsize=16, style=filled, fillcolor=lightyellow];
520 [label="520: quot(T494, 0, s(s(s(s(0)))), T497)\n\nT494 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
521 [label="521: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
522 [label="522: quot(T494, T502, s(s(s(s(s(T502))))), T497)\n\nT494 is ground\nT502 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
523 [label="523: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
524 [label="524: quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 1 | quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 2 | quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 3\n\nT494 is ground\nT502 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
525 [label="525: ','(!_112, eq(T511, 0)) | quot(0, s(T509), s(s(s(s(s(s(T509)))))), T497), SCOPE: 112, CLAUSE: 2 | quot(0, s(T509), s(s(s(s(s(s(T509)))))), T497), SCOPE: 112, CLAUSE: 3\n\nT509 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
526 [label="526: quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 2 | quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 3\n\nT494 is ground\nT502 is ground\nX1598 is free\nX1599 is free\nX1600 is free\nquot(T494, T502, s(s(s(s(s(T502))))), T497) !=? quot(0, s(X1598), s(X1599), X1600)", fontsize=16, style=filled, fillcolor=lightyellow];
527 [label="527: eq(T511, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
528 [label="528: eq(T511, 0), SCOPE: 113, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
529 [label="529: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
530 [label="530: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
531 [label="531: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
532 [label="532: quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 2\n\nT494 is ground\nT502 is ground\nX1598 is free\nX1599 is free\nX1600 is free\nquot(T494, T502, s(s(s(s(s(T502))))), T497) !=? quot(0, s(X1598), s(X1599), X1600)", fontsize=16, style=filled, fillcolor=lightyellow];
533 [label="533: quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 3\n\nT494 is ground\nT502 is ground\nX1598 is free\nX1599 is free\nX1600 is free\nquot(T494, T502, s(s(s(s(s(T502))))), T497) !=? quot(0, s(X1598), s(X1599), X1600)", fontsize=16, style=filled, fillcolor=lightyellow];
534 [label="534: ','(!_112, ','(eq(s(s(s(s(s(0))))), s(X1623)), ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624))))\n\nT523 is ground\nX1623 is free\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
535 [label="535: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
536 [label="536: ','(eq(s(s(s(s(s(0))))), s(X1623)), ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624)))\n\nT523 is ground\nX1623 is free\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
537 [label="537: ','(eq(s(s(s(s(s(0))))), s(X1623)), ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624))), SCOPE: 114, CLAUSE: 6\n\nT523 is ground\nX1623 is free\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
538 [label="538: ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624))\n\nT523 is ground\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
539 [label="539: ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624)), SCOPE: 115, CLAUSE: 4 | ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624)), SCOPE: 115, CLAUSE: 5\n\nT523 is ground\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
540 [label="540: ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624)), SCOPE: 115, CLAUSE: 4\n\nT523 is ground\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
541 [label="541: ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624)), SCOPE: 115, CLAUSE: 5\n\nT523 is ground\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
542 [label="542: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)\n\nT523 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
543 [label="543: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
544 [label="544: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 1 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 2 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 3\n\nT523 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
545 [label="545: ','(!_116, eq(0, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
546 [label="546: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 2 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 3\n\nT523 is ground\nX1649 is free\nX1650 is free\nX1651 is free\nquot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1649), s(X1650), X1651)", fontsize=16, style=filled, fillcolor=lightyellow];
547 [label="547: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
548 [label="548: eq(0, 0), SCOPE: 117, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
549 [label="549: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
550 [label="550: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
551 [label="551: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 3\n\nT523 is ground\nX1649 is free\nX1650 is free\nX1651 is free\nquot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1649), s(X1650), X1651)", fontsize=16, style=filled, fillcolor=lightyellow];
552 [label="552: ','(p(s(s(s(s(s(0))))), X1671), quot(T529, X1671, s(s(s(s(s(0))))), 0))\n\nT529 is ground\nX1671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
553 [label="553: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
554 [label="554: ','(p(s(s(s(s(s(0))))), X1671), quot(T529, X1671, s(s(s(s(s(0))))), 0)), SCOPE: 118, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X1671), quot(T529, X1671, s(s(s(s(s(0))))), 0)), SCOPE: 118, CLAUSE: 5\n\nT529 is ground\nX1671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
555 [label="555: ','(p(s(s(s(s(s(0))))), X1671), quot(T529, X1671, s(s(s(s(s(0))))), 0)), SCOPE: 118, CLAUSE: 5\n\nT529 is ground\nX1671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
556 [label="556: quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0)\n\nT529 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
557 [label="557: quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 1 | quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 2 | quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 3\n\nT529 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
558 [label="558: ','(!_119, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
559 [label="559: quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 2 | quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 3\n\nT529 is ground\nX1691 is free\nX1692 is free\nX1693 is free\nquot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1691), s(X1692), X1693)", fontsize=16, style=filled, fillcolor=lightyellow];
560 [label="560: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
561 [label="561: eq(0, 0), SCOPE: 120, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
562 [label="562: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
563 [label="563: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
564 [label="564: quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 3\n\nT529 is ground\nX1691 is free\nX1692 is free\nX1693 is free\nquot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1691), s(X1692), X1693)", fontsize=16, style=filled, fillcolor=lightyellow];
565 [label="565: ','(p(s(s(s(s(0)))), X1713), quot(T533, X1713, s(s(s(s(s(0))))), 0))\n\nT533 is ground\nX1713 is free", fontsize=16, style=filled, fillcolor=lightyellow];
566 [label="566: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
567 [label="567: ','(p(s(s(s(s(0)))), X1713), quot(T533, X1713, s(s(s(s(s(0))))), 0)), SCOPE: 121, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X1713), quot(T533, X1713, s(s(s(s(s(0))))), 0)), SCOPE: 121, CLAUSE: 5\n\nT533 is ground\nX1713 is free", fontsize=16, style=filled, fillcolor=lightyellow];
568 [label="568: ','(p(s(s(s(s(0)))), X1713), quot(T533, X1713, s(s(s(s(s(0))))), 0)), SCOPE: 121, CLAUSE: 5\n\nT533 is ground\nX1713 is free", fontsize=16, style=filled, fillcolor=lightyellow];
569 [label="569: quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0)\n\nT533 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
570 [label="570: quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 1 | quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 2 | quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 3\n\nT533 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
571 [label="571: ','(!_122, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
572 [label="572: quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 2 | quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 3\n\nT533 is ground\nX1733 is free\nX1734 is free\nX1735 is free\nquot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1733), s(X1734), X1735)", fontsize=16, style=filled, fillcolor=lightyellow];
573 [label="573: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
574 [label="574: eq(0, 0), SCOPE: 123, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
575 [label="575: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
576 [label="576: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
577 [label="577: quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 3\n\nT533 is ground\nX1733 is free\nX1734 is free\nX1735 is free\nquot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1733), s(X1734), X1735)", fontsize=16, style=filled, fillcolor=lightyellow];
578 [label="578: ','(p(s(s(s(0))), X1755), quot(T537, X1755, s(s(s(s(s(0))))), 0))\n\nT537 is ground\nX1755 is free", fontsize=16, style=filled, fillcolor=lightyellow];
579 [label="579: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
580 [label="580: ','(p(s(s(s(0))), X1755), quot(T537, X1755, s(s(s(s(s(0))))), 0)), SCOPE: 124, CLAUSE: 4 | ','(p(s(s(s(0))), X1755), quot(T537, X1755, s(s(s(s(s(0))))), 0)), SCOPE: 124, CLAUSE: 5\n\nT537 is ground\nX1755 is free", fontsize=16, style=filled, fillcolor=lightyellow];
581 [label="581: ','(p(s(s(s(0))), X1755), quot(T537, X1755, s(s(s(s(s(0))))), 0)), SCOPE: 124, CLAUSE: 5\n\nT537 is ground\nX1755 is free", fontsize=16, style=filled, fillcolor=lightyellow];
582 [label="582: quot(T537, s(s(0)), s(s(s(s(s(0))))), 0)\n\nT537 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
583 [label="583: quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 1 | quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 2 | quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 3\n\nT537 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
584 [label="584: ','(!_125, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
585 [label="585: quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 2 | quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 3\n\nT537 is ground\nX1775 is free\nX1776 is free\nX1777 is free\nquot(T537, s(s(0)), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1775), s(X1776), X1777)", fontsize=16, style=filled, fillcolor=lightyellow];
586 [label="586: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
587 [label="587: eq(0, 0), SCOPE: 126, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
588 [label="588: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
589 [label="589: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
590 [label="590: quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 3\n\nT537 is ground\nX1775 is free\nX1776 is free\nX1777 is free\nquot(T537, s(s(0)), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1775), s(X1776), X1777)", fontsize=16, style=filled, fillcolor=lightyellow];
591 [label="591: ','(p(s(s(0)), X1797), quot(T541, X1797, s(s(s(s(s(0))))), 0))\n\nT541 is ground\nX1797 is free", fontsize=16, style=filled, fillcolor=lightyellow];
592 [label="592: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
593 [label="593: ','(p(s(s(0)), X1797), quot(T541, X1797, s(s(s(s(s(0))))), 0)), SCOPE: 127, CLAUSE: 4 | ','(p(s(s(0)), X1797), quot(T541, X1797, s(s(s(s(s(0))))), 0)), SCOPE: 127, CLAUSE: 5\n\nT541 is ground\nX1797 is free", fontsize=16, style=filled, fillcolor=lightyellow];
594 [label="594: ','(p(s(s(0)), X1797), quot(T541, X1797, s(s(s(s(s(0))))), 0)), SCOPE: 127, CLAUSE: 5\n\nT541 is ground\nX1797 is free", fontsize=16, style=filled, fillcolor=lightyellow];
595 [label="595: quot(T541, s(0), s(s(s(s(s(0))))), 0)\n\nT541 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
596 [label="596: quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 1 | quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 2 | quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 3\n\nT541 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
597 [label="597: ','(!_128, eq(0, 0)) | quot(0, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
598 [label="598: quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 2 | quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 3\n\nT541 is ground\nX1817 is free\nX1818 is free\nX1819 is free\nquot(T541, s(0), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1817), s(X1818), X1819)", fontsize=16, style=filled, fillcolor=lightyellow];
599 [label="599: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
600 [label="600: eq(0, 0), SCOPE: 129, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
601 [label="601: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
602 [label="602: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
603 [label="603: quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 3\n\nT541 is ground\nX1817 is free\nX1818 is free\nX1819 is free\nquot(T541, s(0), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1817), s(X1818), X1819)", fontsize=16, style=filled, fillcolor=lightyellow];
604 [label="604: ','(p(s(0), X1839), quot(T545, X1839, s(s(s(s(s(0))))), 0))\n\nT545 is ground\nX1839 is free", fontsize=16, style=filled, fillcolor=lightyellow];
605 [label="605: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
606 [label="606: ','(p(s(0), X1839), quot(T545, X1839, s(s(s(s(s(0))))), 0)), SCOPE: 130, CLAUSE: 4 | ','(p(s(0), X1839), quot(T545, X1839, s(s(s(s(s(0))))), 0)), SCOPE: 130, CLAUSE: 5\n\nT545 is ground\nX1839 is free", fontsize=16, style=filled, fillcolor=lightyellow];
607 [label="607: ','(p(s(0), X1839), quot(T545, X1839, s(s(s(s(s(0))))), 0)), SCOPE: 130, CLAUSE: 5\n\nT545 is ground\nX1839 is free", fontsize=16, style=filled, fillcolor=lightyellow];
608 [label="608: quot(T545, 0, s(s(s(s(s(0))))), 0)\n\nT545 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
609 [label="609: quot(T545, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 1 | quot(T545, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 2 | quot(T545, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 3\n\nT545 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
610 [label="610: quot(T545, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 2 | quot(T545, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 3\n\nT545 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
611 [label="611: ','(!_131, ','(eq(s(s(s(s(s(0))))), s(X1867)), ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)))) | quot(T548, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 3\n\nT548 is ground\nX1867 is free\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
612 [label="612: ','(eq(s(s(s(s(s(0))))), s(X1867)), ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)))\n\nT548 is ground\nX1867 is free\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
613 [label="613: ','(eq(s(s(s(s(s(0))))), s(X1867)), ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868))), SCOPE: 132, CLAUSE: 6\n\nT548 is ground\nX1867 is free\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
614 [label="614: ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868))\n\nT548 is ground\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
615 [label="615: ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)), SCOPE: 133, CLAUSE: 4 | ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)), SCOPE: 133, CLAUSE: 5\n\nT548 is ground\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
616 [label="616: ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)), SCOPE: 133, CLAUSE: 4\n\nT548 is ground\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
617 [label="617: ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)), SCOPE: 133, CLAUSE: 5\n\nT548 is ground\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
618 [label="618: quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)\n\nT548 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
619 [label="619: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
620 [label="620: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552)\n\nT523 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
621 [label="621: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
622 [label="622: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 1 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 2 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 3\n\nT523 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
623 [label="623: ','(!_134, eq(T557, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
624 [label="624: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 2 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 3\n\nT523 is ground\nX1906 is free\nX1907 is free\nX1908 is free\nquot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552) !=? quot(0, s(X1906), s(X1907), X1908)", fontsize=16, style=filled, fillcolor=lightyellow];
625 [label="625: eq(T557, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
626 [label="626: eq(T557, 0), SCOPE: 135, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
627 [label="627: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
628 [label="628: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
629 [label="629: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
630 [label="630: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 3\n\nT523 is ground\nX1906 is free\nX1907 is free\nX1908 is free\nquot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552) !=? quot(0, s(X1906), s(X1907), X1908)", fontsize=16, style=filled, fillcolor=lightyellow];
631 [label="631: ','(p(s(s(s(s(s(0))))), X1928), quot(T566, X1928, s(s(s(s(s(0))))), T568))\n\nT566 is ground\nX1928 is free", fontsize=16, style=filled, fillcolor=lightyellow];
632 [label="632: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
633 [label="633: ','(p(s(s(s(s(s(0))))), X1928), quot(T566, X1928, s(s(s(s(s(0))))), T568)), SCOPE: 136, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X1928), quot(T566, X1928, s(s(s(s(s(0))))), T568)), SCOPE: 136, CLAUSE: 5\n\nT566 is ground\nX1928 is free", fontsize=16, style=filled, fillcolor=lightyellow];
634 [label="634: ','(p(s(s(s(s(s(0))))), X1928), quot(T566, X1928, s(s(s(s(s(0))))), T568)), SCOPE: 136, CLAUSE: 5\n\nT566 is ground\nX1928 is free", fontsize=16, style=filled, fillcolor=lightyellow];
635 [label="635: quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568)\n\nT566 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
636 [label="636: quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 1 | quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 2 | quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 3\n\nT566 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
637 [label="637: ','(!_137, eq(T575, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
638 [label="638: quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 2 | quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 3\n\nT566 is ground\nX1948 is free\nX1949 is free\nX1950 is free\nquot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568) !=? quot(0, s(X1948), s(X1949), X1950)", fontsize=16, style=filled, fillcolor=lightyellow];
639 [label="639: eq(T575, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
640 [label="640: eq(T575, 0), SCOPE: 138, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
641 [label="641: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
642 [label="642: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
643 [label="643: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
644 [label="644: quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 3\n\nT566 is ground\nX1948 is free\nX1949 is free\nX1950 is free\nquot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568) !=? quot(0, s(X1948), s(X1949), X1950)", fontsize=16, style=filled, fillcolor=lightyellow];
645 [label="645: ','(p(s(s(s(s(0)))), X1970), quot(T584, X1970, s(s(s(s(s(0))))), T586))\n\nT584 is ground\nX1970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
646 [label="646: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
647 [label="647: ','(p(s(s(s(s(0)))), X1970), quot(T584, X1970, s(s(s(s(s(0))))), T586)), SCOPE: 139, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X1970), quot(T584, X1970, s(s(s(s(s(0))))), T586)), SCOPE: 139, CLAUSE: 5\n\nT584 is ground\nX1970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
648 [label="648: ','(p(s(s(s(s(0)))), X1970), quot(T584, X1970, s(s(s(s(s(0))))), T586)), SCOPE: 139, CLAUSE: 5\n\nT584 is ground\nX1970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
649 [label="649: quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586)\n\nT584 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
650 [label="650: quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 1 | quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 2 | quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 3\n\nT584 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
651 [label="651: ','(!_140, eq(T593, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
652 [label="652: quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 2 | quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 3\n\nT584 is ground\nX1990 is free\nX1991 is free\nX1992 is free\nquot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586) !=? quot(0, s(X1990), s(X1991), X1992)", fontsize=16, style=filled, fillcolor=lightyellow];
653 [label="653: eq(T593, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
654 [label="654: eq(T593, 0), SCOPE: 141, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
655 [label="655: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
656 [label="656: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
657 [label="657: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
658 [label="658: quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 3\n\nT584 is ground\nX1990 is free\nX1991 is free\nX1992 is free\nquot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586) !=? quot(0, s(X1990), s(X1991), X1992)", fontsize=16, style=filled, fillcolor=lightyellow];
659 [label="659: ','(p(s(s(s(0))), X2012), quot(T602, X2012, s(s(s(s(s(0))))), T604))\n\nT602 is ground\nX2012 is free", fontsize=16, style=filled, fillcolor=lightyellow];
660 [label="660: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
661 [label="661: ','(p(s(s(s(0))), X2012), quot(T602, X2012, s(s(s(s(s(0))))), T604)), SCOPE: 142, CLAUSE: 4 | ','(p(s(s(s(0))), X2012), quot(T602, X2012, s(s(s(s(s(0))))), T604)), SCOPE: 142, CLAUSE: 5\n\nT602 is ground\nX2012 is free", fontsize=16, style=filled, fillcolor=lightyellow];
662 [label="662: ','(p(s(s(s(0))), X2012), quot(T602, X2012, s(s(s(s(s(0))))), T604)), SCOPE: 142, CLAUSE: 5\n\nT602 is ground\nX2012 is free", fontsize=16, style=filled, fillcolor=lightyellow];
663 [label="663: quot(T602, s(s(0)), s(s(s(s(s(0))))), T604)\n\nT602 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
664 [label="664: quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 1 | quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 2 | quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 3\n\nT602 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
665 [label="665: ','(!_143, eq(T611, 0)) | quot(0, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
666 [label="666: quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 2 | quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 3\n\nT602 is ground\nX2032 is free\nX2033 is free\nX2034 is free\nquot(T602, s(s(0)), s(s(s(s(s(0))))), T604) !=? quot(0, s(X2032), s(X2033), X2034)", fontsize=16, style=filled, fillcolor=lightyellow];
667 [label="667: eq(T611, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
668 [label="668: eq(T611, 0), SCOPE: 144, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
669 [label="669: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
670 [label="670: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
671 [label="671: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
672 [label="672: quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 3\n\nT602 is ground\nX2032 is free\nX2033 is free\nX2034 is free\nquot(T602, s(s(0)), s(s(s(s(s(0))))), T604) !=? quot(0, s(X2032), s(X2033), X2034)", fontsize=16, style=filled, fillcolor=lightyellow];
673 [label="673: ','(p(s(s(0)), X2054), quot(T620, X2054, s(s(s(s(s(0))))), T622))\n\nT620 is ground\nX2054 is free", fontsize=16, style=filled, fillcolor=lightyellow];
674 [label="674: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
675 [label="675: ','(p(s(s(0)), X2054), quot(T620, X2054, s(s(s(s(s(0))))), T622)), SCOPE: 145, CLAUSE: 4 | ','(p(s(s(0)), X2054), quot(T620, X2054, s(s(s(s(s(0))))), T622)), SCOPE: 145, CLAUSE: 5\n\nT620 is ground\nX2054 is free", fontsize=16, style=filled, fillcolor=lightyellow];
676 [label="676: ','(p(s(s(0)), X2054), quot(T620, X2054, s(s(s(s(s(0))))), T622)), SCOPE: 145, CLAUSE: 5\n\nT620 is ground\nX2054 is free", fontsize=16, style=filled, fillcolor=lightyellow];
677 [label="677: quot(T620, s(0), s(s(s(s(s(0))))), T622)\n\nT620 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
678 [label="678: quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 1 | quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 2 | quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 3\n\nT620 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
679 [label="679: ','(!_146, eq(T629, 0)) | quot(0, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
680 [label="680: quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 2 | quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 3\n\nT620 is ground\nX2074 is free\nX2075 is free\nX2076 is free\nquot(T620, s(0), s(s(s(s(s(0))))), T622) !=? quot(0, s(X2074), s(X2075), X2076)", fontsize=16, style=filled, fillcolor=lightyellow];
681 [label="681: eq(T629, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
682 [label="682: eq(T629, 0), SCOPE: 147, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
683 [label="683: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
684 [label="684: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
685 [label="685: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
686 [label="686: quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 3\n\nT620 is ground\nX2074 is free\nX2075 is free\nX2076 is free\nquot(T620, s(0), s(s(s(s(s(0))))), T622) !=? quot(0, s(X2074), s(X2075), X2076)", fontsize=16, style=filled, fillcolor=lightyellow];
687 [label="687: ','(p(s(0), X2096), quot(T638, X2096, s(s(s(s(s(0))))), T640))\n\nT638 is ground\nX2096 is free", fontsize=16, style=filled, fillcolor=lightyellow];
688 [label="688: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
689 [label="689: ','(p(s(0), X2096), quot(T638, X2096, s(s(s(s(s(0))))), T640)), SCOPE: 148, CLAUSE: 4 | ','(p(s(0), X2096), quot(T638, X2096, s(s(s(s(s(0))))), T640)), SCOPE: 148, CLAUSE: 5\n\nT638 is ground\nX2096 is free", fontsize=16, style=filled, fillcolor=lightyellow];
690 [label="690: ','(p(s(0), X2096), quot(T638, X2096, s(s(s(s(s(0))))), T640)), SCOPE: 148, CLAUSE: 5\n\nT638 is ground\nX2096 is free", fontsize=16, style=filled, fillcolor=lightyellow];
691 [label="691: quot(T638, 0, s(s(s(s(s(0))))), T640)\n\nT638 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
692 [label="692: quot(T638, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 1 | quot(T638, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 2 | quot(T638, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 3\n\nT638 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
693 [label="693: quot(T638, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 2 | quot(T638, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 3\n\nT638 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
694 [label="694: ','(!_149, ','(eq(s(s(s(s(s(0))))), s(X2124)), ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)))) | quot(T647, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 3\n\nT647 is ground\nX2124 is free\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
695 [label="695: ','(eq(s(s(s(s(s(0))))), s(X2124)), ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)))\n\nT647 is ground\nX2124 is free\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
696 [label="696: ','(eq(s(s(s(s(s(0))))), s(X2124)), ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125))), SCOPE: 150, CLAUSE: 6\n\nT647 is ground\nX2124 is free\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
697 [label="697: ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125))\n\nT647 is ground\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
698 [label="698: ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)), SCOPE: 151, CLAUSE: 4 | ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)), SCOPE: 151, CLAUSE: 5\n\nT647 is ground\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
699 [label="699: ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)), SCOPE: 151, CLAUSE: 4\n\nT647 is ground\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
700 [label="700: ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)), SCOPE: 151, CLAUSE: 5\n\nT647 is ground\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
701 [label="701: quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)\n\nT647 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
702 [label="702: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
703 [label="703: quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T653)\n\nT647 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
704 [label="704: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
705 [label="705: ','(p(T662, X2163), quot(T661, X2163, s(s(s(s(s(T662))))), T664))\n\nT661 is ground\nT662 is ground\nX2163 is free", fontsize=16, style=filled, fillcolor=lightyellow];
706 [label="706: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
707 [label="707: ','(p(T662, X2163), quot(T661, X2163, s(s(s(s(s(T662))))), T664)), SCOPE: 152, CLAUSE: 4 | ','(p(T662, X2163), quot(T661, X2163, s(s(s(s(s(T662))))), T664)), SCOPE: 152, CLAUSE: 5\n\nT661 is ground\nT662 is ground\nX2163 is free", fontsize=16, style=filled, fillcolor=lightyellow];
708 [label="708: ','(p(T662, X2163), quot(T661, X2163, s(s(s(s(s(T662))))), T664)), SCOPE: 152, CLAUSE: 4\n\nT661 is ground\nT662 is ground\nX2163 is free", fontsize=16, style=filled, fillcolor=lightyellow];
709 [label="709: ','(p(T662, X2163), quot(T661, X2163, s(s(s(s(s(T662))))), T664)), SCOPE: 152, CLAUSE: 5\n\nT661 is ground\nT662 is ground\nX2163 is free", fontsize=16, style=filled, fillcolor=lightyellow];
710 [label="710: quot(T661, 0, s(s(s(s(s(0))))), T664)\n\nT661 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
711 [label="711: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
712 [label="712: quot(T661, T669, s(s(s(s(s(s(T669)))))), T664)\n\nT661 is ground\nT669 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
713 [label="713: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
714 [label="714: quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 1 | quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 2 | quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 3\n\nT661 is ground\nT669 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
715 [label="715: ','(!_153, eq(T678, 0)) | quot(0, s(T676), s(s(s(s(s(s(s(T676))))))), T664), SCOPE: 153, CLAUSE: 2 | quot(0, s(T676), s(s(s(s(s(s(s(T676))))))), T664), SCOPE: 153, CLAUSE: 3\n\nT676 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
716 [label="716: quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 2 | quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 3\n\nT661 is ground\nT669 is ground\nX2183 is free\nX2184 is free\nX2185 is free\nquot(T661, T669, s(s(s(s(s(s(T669)))))), T664) !=? quot(0, s(X2183), s(X2184), X2185)", fontsize=16, style=filled, fillcolor=lightyellow];
717 [label="717: eq(T678, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
718 [label="718: eq(T678, 0), SCOPE: 154, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
719 [label="719: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
720 [label="720: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
721 [label="721: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
722 [label="722: quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 2\n\nT661 is ground\nT669 is ground\nX2183 is free\nX2184 is free\nX2185 is free\nquot(T661, T669, s(s(s(s(s(s(T669)))))), T664) !=? quot(0, s(X2183), s(X2184), X2185)", fontsize=16, style=filled, fillcolor=lightyellow];
723 [label="723: quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 3\n\nT661 is ground\nT669 is ground\nX2183 is free\nX2184 is free\nX2185 is free\nquot(T661, T669, s(s(s(s(s(s(T669)))))), T664) !=? quot(0, s(X2183), s(X2184), X2185)", fontsize=16, style=filled, fillcolor=lightyellow];
724 [label="724: ','(!_153, ','(eq(s(s(s(s(s(s(0)))))), s(X2208)), ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209))))\n\nT690 is ground\nX2208 is free\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
725 [label="725: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
726 [label="726: ','(eq(s(s(s(s(s(s(0)))))), s(X2208)), ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209)))\n\nT690 is ground\nX2208 is free\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
727 [label="727: ','(eq(s(s(s(s(s(s(0)))))), s(X2208)), ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209))), SCOPE: 155, CLAUSE: 6\n\nT690 is ground\nX2208 is free\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
728 [label="728: ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209))\n\nT690 is ground\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
729 [label="729: ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209)), SCOPE: 156, CLAUSE: 4 | ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209)), SCOPE: 156, CLAUSE: 5\n\nT690 is ground\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
730 [label="730: ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209)), SCOPE: 156, CLAUSE: 4\n\nT690 is ground\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
731 [label="731: ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209)), SCOPE: 156, CLAUSE: 5\n\nT690 is ground\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
732 [label="732: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)\n\nT690 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
733 [label="733: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
734 [label="734: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 1 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 2 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 3\n\nT690 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
735 [label="735: ','(!_157, eq(0, 0)) | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
736 [label="736: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 2 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 3\n\nT690 is ground\nX2234 is free\nX2235 is free\nX2236 is free\nquot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2234), s(X2235), X2236)", fontsize=16, style=filled, fillcolor=lightyellow];
737 [label="737: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
738 [label="738: eq(0, 0), SCOPE: 158, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
739 [label="739: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
740 [label="740: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
741 [label="741: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 3\n\nT690 is ground\nX2234 is free\nX2235 is free\nX2236 is free\nquot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2234), s(X2235), X2236)", fontsize=16, style=filled, fillcolor=lightyellow];
742 [label="742: ','(p(s(s(s(s(s(s(0)))))), X2256), quot(T696, X2256, s(s(s(s(s(s(0)))))), 0))\n\nT696 is ground\nX2256 is free", fontsize=16, style=filled, fillcolor=lightyellow];
743 [label="743: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
744 [label="744: ','(p(s(s(s(s(s(s(0)))))), X2256), quot(T696, X2256, s(s(s(s(s(s(0)))))), 0)), SCOPE: 159, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X2256), quot(T696, X2256, s(s(s(s(s(s(0)))))), 0)), SCOPE: 159, CLAUSE: 5\n\nT696 is ground\nX2256 is free", fontsize=16, style=filled, fillcolor=lightyellow];
745 [label="745: ','(p(s(s(s(s(s(s(0)))))), X2256), quot(T696, X2256, s(s(s(s(s(s(0)))))), 0)), SCOPE: 159, CLAUSE: 5\n\nT696 is ground\nX2256 is free", fontsize=16, style=filled, fillcolor=lightyellow];
746 [label="746: quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0)\n\nT696 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
747 [label="747: quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 1 | quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 2 | quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 3\n\nT696 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
748 [label="748: ','(!_160, eq(0, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
749 [label="749: quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 2 | quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 3\n\nT696 is ground\nX2276 is free\nX2277 is free\nX2278 is free\nquot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2276), s(X2277), X2278)", fontsize=16, style=filled, fillcolor=lightyellow];
750 [label="750: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
751 [label="751: eq(0, 0), SCOPE: 161, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
752 [label="752: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
753 [label="753: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
754 [label="754: quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 3\n\nT696 is ground\nX2276 is free\nX2277 is free\nX2278 is free\nquot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2276), s(X2277), X2278)", fontsize=16, style=filled, fillcolor=lightyellow];
755 [label="755: ','(p(s(s(s(s(s(0))))), X2298), quot(T700, X2298, s(s(s(s(s(s(0)))))), 0))\n\nT700 is ground\nX2298 is free", fontsize=16, style=filled, fillcolor=lightyellow];
756 [label="756: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
757 [label="757: ','(p(s(s(s(s(s(0))))), X2298), quot(T700, X2298, s(s(s(s(s(s(0)))))), 0)), SCOPE: 162, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X2298), quot(T700, X2298, s(s(s(s(s(s(0)))))), 0)), SCOPE: 162, CLAUSE: 5\n\nT700 is ground\nX2298 is free", fontsize=16, style=filled, fillcolor=lightyellow];
758 [label="758: ','(p(s(s(s(s(s(0))))), X2298), quot(T700, X2298, s(s(s(s(s(s(0)))))), 0)), SCOPE: 162, CLAUSE: 5\n\nT700 is ground\nX2298 is free", fontsize=16, style=filled, fillcolor=lightyellow];
759 [label="759: quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0)\n\nT700 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
760 [label="760: quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 1 | quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 2 | quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 3\n\nT700 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
761 [label="761: ','(!_163, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
762 [label="762: quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 2 | quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 3\n\nT700 is ground\nX2318 is free\nX2319 is free\nX2320 is free\nquot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2318), s(X2319), X2320)", fontsize=16, style=filled, fillcolor=lightyellow];
763 [label="763: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
764 [label="764: eq(0, 0), SCOPE: 164, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
765 [label="765: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
766 [label="766: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
767 [label="767: quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 3\n\nT700 is ground\nX2318 is free\nX2319 is free\nX2320 is free\nquot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2318), s(X2319), X2320)", fontsize=16, style=filled, fillcolor=lightyellow];
768 [label="768: ','(p(s(s(s(s(0)))), X2340), quot(T704, X2340, s(s(s(s(s(s(0)))))), 0))\n\nT704 is ground\nX2340 is free", fontsize=16, style=filled, fillcolor=lightyellow];
769 [label="769: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
770 [label="770: ','(p(s(s(s(s(0)))), X2340), quot(T704, X2340, s(s(s(s(s(s(0)))))), 0)), SCOPE: 165, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X2340), quot(T704, X2340, s(s(s(s(s(s(0)))))), 0)), SCOPE: 165, CLAUSE: 5\n\nT704 is ground\nX2340 is free", fontsize=16, style=filled, fillcolor=lightyellow];
771 [label="771: ','(p(s(s(s(s(0)))), X2340), quot(T704, X2340, s(s(s(s(s(s(0)))))), 0)), SCOPE: 165, CLAUSE: 5\n\nT704 is ground\nX2340 is free", fontsize=16, style=filled, fillcolor=lightyellow];
772 [label="772: quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0)\n\nT704 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
773 [label="773: quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 1 | quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 2 | quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 3\n\nT704 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
774 [label="774: ','(!_166, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
775 [label="775: quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 2 | quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 3\n\nT704 is ground\nX2360 is free\nX2361 is free\nX2362 is free\nquot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2360), s(X2361), X2362)", fontsize=16, style=filled, fillcolor=lightyellow];
776 [label="776: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
777 [label="777: eq(0, 0), SCOPE: 167, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
778 [label="778: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
779 [label="779: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
780 [label="780: quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 3\n\nT704 is ground\nX2360 is free\nX2361 is free\nX2362 is free\nquot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2360), s(X2361), X2362)", fontsize=16, style=filled, fillcolor=lightyellow];
781 [label="781: ','(p(s(s(s(0))), X2382), quot(T708, X2382, s(s(s(s(s(s(0)))))), 0))\n\nT708 is ground\nX2382 is free", fontsize=16, style=filled, fillcolor=lightyellow];
782 [label="782: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
783 [label="783: ','(p(s(s(s(0))), X2382), quot(T708, X2382, s(s(s(s(s(s(0)))))), 0)), SCOPE: 168, CLAUSE: 4 | ','(p(s(s(s(0))), X2382), quot(T708, X2382, s(s(s(s(s(s(0)))))), 0)), SCOPE: 168, CLAUSE: 5\n\nT708 is ground\nX2382 is free", fontsize=16, style=filled, fillcolor=lightyellow];
784 [label="784: ','(p(s(s(s(0))), X2382), quot(T708, X2382, s(s(s(s(s(s(0)))))), 0)), SCOPE: 168, CLAUSE: 5\n\nT708 is ground\nX2382 is free", fontsize=16, style=filled, fillcolor=lightyellow];
785 [label="785: quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0)\n\nT708 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
786 [label="786: quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 1 | quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 2 | quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 3\n\nT708 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
787 [label="787: ','(!_169, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
788 [label="788: quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 2 | quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 3\n\nT708 is ground\nX2402 is free\nX2403 is free\nX2404 is free\nquot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2402), s(X2403), X2404)", fontsize=16, style=filled, fillcolor=lightyellow];
789 [label="789: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
790 [label="790: eq(0, 0), SCOPE: 170, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
791 [label="791: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
792 [label="792: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
793 [label="793: quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 3\n\nT708 is ground\nX2402 is free\nX2403 is free\nX2404 is free\nquot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2402), s(X2403), X2404)", fontsize=16, style=filled, fillcolor=lightyellow];
794 [label="794: ','(p(s(s(0)), X2424), quot(T712, X2424, s(s(s(s(s(s(0)))))), 0))\n\nT712 is ground\nX2424 is free", fontsize=16, style=filled, fillcolor=lightyellow];
795 [label="795: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
796 [label="796: ','(p(s(s(0)), X2424), quot(T712, X2424, s(s(s(s(s(s(0)))))), 0)), SCOPE: 171, CLAUSE: 4 | ','(p(s(s(0)), X2424), quot(T712, X2424, s(s(s(s(s(s(0)))))), 0)), SCOPE: 171, CLAUSE: 5\n\nT712 is ground\nX2424 is free", fontsize=16, style=filled, fillcolor=lightyellow];
797 [label="797: ','(p(s(s(0)), X2424), quot(T712, X2424, s(s(s(s(s(s(0)))))), 0)), SCOPE: 171, CLAUSE: 5\n\nT712 is ground\nX2424 is free", fontsize=16, style=filled, fillcolor=lightyellow];
798 [label="798: quot(T712, s(0), s(s(s(s(s(s(0)))))), 0)\n\nT712 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
799 [label="799: quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 1 | quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 2 | quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 3\n\nT712 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
800 [label="800: ','(!_172, eq(0, 0)) | quot(0, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
801 [label="801: quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 2 | quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 3\n\nT712 is ground\nX2444 is free\nX2445 is free\nX2446 is free\nquot(T712, s(0), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2444), s(X2445), X2446)", fontsize=16, style=filled, fillcolor=lightyellow];
802 [label="802: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
803 [label="803: eq(0, 0), SCOPE: 173, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
804 [label="804: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
805 [label="805: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
806 [label="806: quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 3\n\nT712 is ground\nX2444 is free\nX2445 is free\nX2446 is free\nquot(T712, s(0), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2444), s(X2445), X2446)", fontsize=16, style=filled, fillcolor=lightyellow];
807 [label="807: ','(p(s(0), X2466), quot(T716, X2466, s(s(s(s(s(s(0)))))), 0))\n\nT716 is ground\nX2466 is free", fontsize=16, style=filled, fillcolor=lightyellow];
808 [label="808: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
809 [label="809: ','(p(s(0), X2466), quot(T716, X2466, s(s(s(s(s(s(0)))))), 0)), SCOPE: 174, CLAUSE: 4 | ','(p(s(0), X2466), quot(T716, X2466, s(s(s(s(s(s(0)))))), 0)), SCOPE: 174, CLAUSE: 5\n\nT716 is ground\nX2466 is free", fontsize=16, style=filled, fillcolor=lightyellow];
810 [label="810: ','(p(s(0), X2466), quot(T716, X2466, s(s(s(s(s(s(0)))))), 0)), SCOPE: 174, CLAUSE: 5\n\nT716 is ground\nX2466 is free", fontsize=16, style=filled, fillcolor=lightyellow];
811 [label="811: quot(T716, 0, s(s(s(s(s(s(0)))))), 0)\n\nT716 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
812 [label="812: quot(T716, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 1 | quot(T716, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 2 | quot(T716, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 3\n\nT716 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
813 [label="813: quot(T716, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 2 | quot(T716, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 3\n\nT716 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
814 [label="814: ','(!_175, ','(eq(s(s(s(s(s(s(0)))))), s(X2494)), ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)))) | quot(T719, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 3\n\nT719 is ground\nX2494 is free\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
815 [label="815: ','(eq(s(s(s(s(s(s(0)))))), s(X2494)), ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)))\n\nT719 is ground\nX2494 is free\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
816 [label="816: ','(eq(s(s(s(s(s(s(0)))))), s(X2494)), ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495))), SCOPE: 176, CLAUSE: 6\n\nT719 is ground\nX2494 is free\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
817 [label="817: ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495))\n\nT719 is ground\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
818 [label="818: ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)), SCOPE: 177, CLAUSE: 4 | ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)), SCOPE: 177, CLAUSE: 5\n\nT719 is ground\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
819 [label="819: ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)), SCOPE: 177, CLAUSE: 4\n\nT719 is ground\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
820 [label="820: ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)), SCOPE: 177, CLAUSE: 5\n\nT719 is ground\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
821 [label="821: quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)\n\nT719 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
822 [label="822: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
823 [label="823: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723)\n\nT690 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
824 [label="824: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
825 [label="825: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 1 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 2 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 3\n\nT690 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
826 [label="826: ','(!_178, eq(T728, 0)) | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
827 [label="827: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 2 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 3\n\nT690 is ground\nX2533 is free\nX2534 is free\nX2535 is free\nquot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723) !=? quot(0, s(X2533), s(X2534), X2535)", fontsize=16, style=filled, fillcolor=lightyellow];
828 [label="828: eq(T728, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
829 [label="829: eq(T728, 0), SCOPE: 179, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
830 [label="830: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
831 [label="831: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
832 [label="832: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
833 [label="833: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 3\n\nT690 is ground\nX2533 is free\nX2534 is free\nX2535 is free\nquot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723) !=? quot(0, s(X2533), s(X2534), X2535)", fontsize=16, style=filled, fillcolor=lightyellow];
834 [label="834: ','(p(s(s(s(s(s(s(0)))))), X2555), quot(T737, X2555, s(s(s(s(s(s(0)))))), T739))\n\nT737 is ground\nX2555 is free", fontsize=16, style=filled, fillcolor=lightyellow];
835 [label="835: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
836 [label="836: ','(p(s(s(s(s(s(s(0)))))), X2555), quot(T737, X2555, s(s(s(s(s(s(0)))))), T739)), SCOPE: 180, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X2555), quot(T737, X2555, s(s(s(s(s(s(0)))))), T739)), SCOPE: 180, CLAUSE: 5\n\nT737 is ground\nX2555 is free", fontsize=16, style=filled, fillcolor=lightyellow];
837 [label="837: ','(p(s(s(s(s(s(s(0)))))), X2555), quot(T737, X2555, s(s(s(s(s(s(0)))))), T739)), SCOPE: 180, CLAUSE: 5\n\nT737 is ground\nX2555 is free", fontsize=16, style=filled, fillcolor=lightyellow];
838 [label="838: quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739)\n\nT737 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
839 [label="839: quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 1 | quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 2 | quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 3\n\nT737 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
840 [label="840: ','(!_181, eq(T746, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
841 [label="841: quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 2 | quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 3\n\nT737 is ground\nX2575 is free\nX2576 is free\nX2577 is free\nquot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739) !=? quot(0, s(X2575), s(X2576), X2577)", fontsize=16, style=filled, fillcolor=lightyellow];
842 [label="842: eq(T746, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
843 [label="843: eq(T746, 0), SCOPE: 182, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
844 [label="844: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
845 [label="845: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
846 [label="846: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
847 [label="847: quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 3\n\nT737 is ground\nX2575 is free\nX2576 is free\nX2577 is free\nquot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739) !=? quot(0, s(X2575), s(X2576), X2577)", fontsize=16, style=filled, fillcolor=lightyellow];
848 [label="848: ','(p(s(s(s(s(s(0))))), X2597), quot(T755, X2597, s(s(s(s(s(s(0)))))), T757))\n\nT755 is ground\nX2597 is free", fontsize=16, style=filled, fillcolor=lightyellow];
849 [label="849: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
850 [label="850: ','(p(s(s(s(s(s(0))))), X2597), quot(T755, X2597, s(s(s(s(s(s(0)))))), T757)), SCOPE: 183, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X2597), quot(T755, X2597, s(s(s(s(s(s(0)))))), T757)), SCOPE: 183, CLAUSE: 5\n\nT755 is ground\nX2597 is free", fontsize=16, style=filled, fillcolor=lightyellow];
851 [label="851: ','(p(s(s(s(s(s(0))))), X2597), quot(T755, X2597, s(s(s(s(s(s(0)))))), T757)), SCOPE: 183, CLAUSE: 5\n\nT755 is ground\nX2597 is free", fontsize=16, style=filled, fillcolor=lightyellow];
852 [label="852: quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757)\n\nT755 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
853 [label="853: quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 1 | quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 2 | quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 3\n\nT755 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
854 [label="854: ','(!_184, eq(T764, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
855 [label="855: quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 2 | quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 3\n\nT755 is ground\nX2617 is free\nX2618 is free\nX2619 is free\nquot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757) !=? quot(0, s(X2617), s(X2618), X2619)", fontsize=16, style=filled, fillcolor=lightyellow];
856 [label="856: eq(T764, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
857 [label="857: eq(T764, 0), SCOPE: 185, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
858 [label="858: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
859 [label="859: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
860 [label="860: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
861 [label="861: quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 3\n\nT755 is ground\nX2617 is free\nX2618 is free\nX2619 is free\nquot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757) !=? quot(0, s(X2617), s(X2618), X2619)", fontsize=16, style=filled, fillcolor=lightyellow];
862 [label="862: ','(p(s(s(s(s(0)))), X2639), quot(T773, X2639, s(s(s(s(s(s(0)))))), T775))\n\nT773 is ground\nX2639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
863 [label="863: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
864 [label="864: ','(p(s(s(s(s(0)))), X2639), quot(T773, X2639, s(s(s(s(s(s(0)))))), T775)), SCOPE: 186, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X2639), quot(T773, X2639, s(s(s(s(s(s(0)))))), T775)), SCOPE: 186, CLAUSE: 5\n\nT773 is ground\nX2639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
865 [label="865: ','(p(s(s(s(s(0)))), X2639), quot(T773, X2639, s(s(s(s(s(s(0)))))), T775)), SCOPE: 186, CLAUSE: 5\n\nT773 is ground\nX2639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
866 [label="866: quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775)\n\nT773 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
867 [label="867: quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 1 | quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 2 | quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 3\n\nT773 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
868 [label="868: ','(!_187, eq(T782, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
869 [label="869: quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 2 | quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 3\n\nT773 is ground\nX2659 is free\nX2660 is free\nX2661 is free\nquot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775) !=? quot(0, s(X2659), s(X2660), X2661)", fontsize=16, style=filled, fillcolor=lightyellow];
870 [label="870: eq(T782, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
871 [label="871: eq(T782, 0), SCOPE: 188, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
872 [label="872: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
873 [label="873: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
874 [label="874: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
875 [label="875: quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 3\n\nT773 is ground\nX2659 is free\nX2660 is free\nX2661 is free\nquot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775) !=? quot(0, s(X2659), s(X2660), X2661)", fontsize=16, style=filled, fillcolor=lightyellow];
876 [label="876: ','(p(s(s(s(0))), X2681), quot(T791, X2681, s(s(s(s(s(s(0)))))), T793))\n\nT791 is ground\nX2681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
877 [label="877: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
878 [label="878: ','(p(s(s(s(0))), X2681), quot(T791, X2681, s(s(s(s(s(s(0)))))), T793)), SCOPE: 189, CLAUSE: 4 | ','(p(s(s(s(0))), X2681), quot(T791, X2681, s(s(s(s(s(s(0)))))), T793)), SCOPE: 189, CLAUSE: 5\n\nT791 is ground\nX2681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
879 [label="879: ','(p(s(s(s(0))), X2681), quot(T791, X2681, s(s(s(s(s(s(0)))))), T793)), SCOPE: 189, CLAUSE: 5\n\nT791 is ground\nX2681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
880 [label="880: quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793)\n\nT791 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
881 [label="881: quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 1 | quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 2 | quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 3\n\nT791 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
882 [label="882: ','(!_190, eq(T800, 0)) | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
883 [label="883: quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 2 | quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 3\n\nT791 is ground\nX2701 is free\nX2702 is free\nX2703 is free\nquot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793) !=? quot(0, s(X2701), s(X2702), X2703)", fontsize=16, style=filled, fillcolor=lightyellow];
884 [label="884: eq(T800, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
885 [label="885: eq(T800, 0), SCOPE: 191, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
886 [label="886: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
887 [label="887: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
888 [label="888: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
889 [label="889: quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 3\n\nT791 is ground\nX2701 is free\nX2702 is free\nX2703 is free\nquot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793) !=? quot(0, s(X2701), s(X2702), X2703)", fontsize=16, style=filled, fillcolor=lightyellow];
890 [label="890: ','(p(s(s(0)), X2723), quot(T809, X2723, s(s(s(s(s(s(0)))))), T811))\n\nT809 is ground\nX2723 is free", fontsize=16, style=filled, fillcolor=lightyellow];
891 [label="891: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
892 [label="892: ','(p(s(s(0)), X2723), quot(T809, X2723, s(s(s(s(s(s(0)))))), T811)), SCOPE: 192, CLAUSE: 4 | ','(p(s(s(0)), X2723), quot(T809, X2723, s(s(s(s(s(s(0)))))), T811)), SCOPE: 192, CLAUSE: 5\n\nT809 is ground\nX2723 is free", fontsize=16, style=filled, fillcolor=lightyellow];
893 [label="893: ','(p(s(s(0)), X2723), quot(T809, X2723, s(s(s(s(s(s(0)))))), T811)), SCOPE: 192, CLAUSE: 5\n\nT809 is ground\nX2723 is free", fontsize=16, style=filled, fillcolor=lightyellow];
894 [label="894: quot(T809, s(0), s(s(s(s(s(s(0)))))), T811)\n\nT809 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
895 [label="895: quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 1 | quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 2 | quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 3\n\nT809 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
896 [label="896: ','(!_193, eq(T818, 0)) | quot(0, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
897 [label="897: quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 2 | quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 3\n\nT809 is ground\nX2743 is free\nX2744 is free\nX2745 is free\nquot(T809, s(0), s(s(s(s(s(s(0)))))), T811) !=? quot(0, s(X2743), s(X2744), X2745)", fontsize=16, style=filled, fillcolor=lightyellow];
898 [label="898: eq(T818, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
899 [label="899: eq(T818, 0), SCOPE: 194, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
900 [label="900: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
901 [label="901: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
902 [label="902: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
903 [label="903: quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 3\n\nT809 is ground\nX2743 is free\nX2744 is free\nX2745 is free\nquot(T809, s(0), s(s(s(s(s(s(0)))))), T811) !=? quot(0, s(X2743), s(X2744), X2745)", fontsize=16, style=filled, fillcolor=lightyellow];
904 [label="904: ','(p(s(0), X2765), quot(T827, X2765, s(s(s(s(s(s(0)))))), T829))\n\nT827 is ground\nX2765 is free", fontsize=16, style=filled, fillcolor=lightyellow];
905 [label="905: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
906 [label="906: ','(p(s(0), X2765), quot(T827, X2765, s(s(s(s(s(s(0)))))), T829)), SCOPE: 195, CLAUSE: 4 | ','(p(s(0), X2765), quot(T827, X2765, s(s(s(s(s(s(0)))))), T829)), SCOPE: 195, CLAUSE: 5\n\nT827 is ground\nX2765 is free", fontsize=16, style=filled, fillcolor=lightyellow];
907 [label="907: ','(p(s(0), X2765), quot(T827, X2765, s(s(s(s(s(s(0)))))), T829)), SCOPE: 195, CLAUSE: 5\n\nT827 is ground\nX2765 is free", fontsize=16, style=filled, fillcolor=lightyellow];
908 [label="908: quot(T827, 0, s(s(s(s(s(s(0)))))), T829)\n\nT827 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
909 [label="909: quot(T827, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 1 | quot(T827, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 2 | quot(T827, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 3\n\nT827 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
910 [label="910: quot(T827, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 2 | quot(T827, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 3\n\nT827 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
911 [label="911: ','(!_196, ','(eq(s(s(s(s(s(s(0)))))), s(X2793)), ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)))) | quot(T836, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 3\n\nT836 is ground\nX2793 is free\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
912 [label="912: ','(eq(s(s(s(s(s(s(0)))))), s(X2793)), ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)))\n\nT836 is ground\nX2793 is free\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
913 [label="913: ','(eq(s(s(s(s(s(s(0)))))), s(X2793)), ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794))), SCOPE: 197, CLAUSE: 6\n\nT836 is ground\nX2793 is free\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
914 [label="914: ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794))\n\nT836 is ground\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
915 [label="915: ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)), SCOPE: 198, CLAUSE: 4 | ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)), SCOPE: 198, CLAUSE: 5\n\nT836 is ground\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
916 [label="916: ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)), SCOPE: 198, CLAUSE: 4\n\nT836 is ground\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
917 [label="917: ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)), SCOPE: 198, CLAUSE: 5\n\nT836 is ground\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
918 [label="918: quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)\n\nT836 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
919 [label="919: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
920 [label="920: quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T842)\n\nT836 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
921 [label="921: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
922 [label="922: ','(p(T851, X2832), quot(T850, X2832, s(s(s(s(s(s(T851)))))), T853))\n\nT850 is ground\nT851 is ground\nX2832 is free", fontsize=16, style=filled, fillcolor=lightyellow];
923 [label="923: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
924 [label="924: ','(p(T851, X2832), quot(T850, X2832, s(s(s(s(s(s(T851)))))), T853)), SCOPE: 199, CLAUSE: 4 | ','(p(T851, X2832), quot(T850, X2832, s(s(s(s(s(s(T851)))))), T853)), SCOPE: 199, CLAUSE: 5\n\nT850 is ground\nT851 is ground\nX2832 is free", fontsize=16, style=filled, fillcolor=lightyellow];
925 [label="925: ','(p(T851, X2832), quot(T850, X2832, s(s(s(s(s(s(T851)))))), T853)), SCOPE: 199, CLAUSE: 4\n\nT850 is ground\nT851 is ground\nX2832 is free", fontsize=16, style=filled, fillcolor=lightyellow];
926 [label="926: ','(p(T851, X2832), quot(T850, X2832, s(s(s(s(s(s(T851)))))), T853)), SCOPE: 199, CLAUSE: 5\n\nT850 is ground\nT851 is ground\nX2832 is free", fontsize=16, style=filled, fillcolor=lightyellow];
927 [label="927: quot(T850, 0, s(s(s(s(s(s(0)))))), T853)\n\nT850 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
928 [label="928: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
929 [label="929: quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853)\n\nT850 is ground\nT858 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
930 [label="930: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
931 [label="931: quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 1 | quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 2 | quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 3\n\nT850 is ground\nT858 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
932 [label="932: ','(!_200, eq(T867, 0)) | quot(0, s(T865), s(s(s(s(s(s(s(s(T865)))))))), T853), SCOPE: 200, CLAUSE: 2 | quot(0, s(T865), s(s(s(s(s(s(s(s(T865)))))))), T853), SCOPE: 200, CLAUSE: 3\n\nT865 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
933 [label="933: quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 2 | quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 3\n\nT850 is ground\nT858 is ground\nX2852 is free\nX2853 is free\nX2854 is free\nquot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853) !=? quot(0, s(X2852), s(X2853), X2854)", fontsize=16, style=filled, fillcolor=lightyellow];
934 [label="934: eq(T867, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
935 [label="935: eq(T867, 0), SCOPE: 201, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
936 [label="936: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
937 [label="937: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
938 [label="938: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
939 [label="939: quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 2\n\nT850 is ground\nT858 is ground\nX2852 is free\nX2853 is free\nX2854 is free\nquot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853) !=? quot(0, s(X2852), s(X2853), X2854)", fontsize=16, style=filled, fillcolor=lightyellow];
940 [label="940: quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 3\n\nT850 is ground\nT858 is ground\nX2852 is free\nX2853 is free\nX2854 is free\nquot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853) !=? quot(0, s(X2852), s(X2853), X2854)", fontsize=16, style=filled, fillcolor=lightyellow];
941 [label="941: ','(!_200, ','(eq(s(s(s(s(s(s(s(0))))))), s(X2877)), ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878))))\n\nT879 is ground\nX2877 is free\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
942 [label="942: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
943 [label="943: ','(eq(s(s(s(s(s(s(s(0))))))), s(X2877)), ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878)))\n\nT879 is ground\nX2877 is free\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
944 [label="944: ','(eq(s(s(s(s(s(s(s(0))))))), s(X2877)), ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878))), SCOPE: 202, CLAUSE: 6\n\nT879 is ground\nX2877 is free\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
945 [label="945: ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878))\n\nT879 is ground\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
946 [label="946: ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878)), SCOPE: 203, CLAUSE: 4 | ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878)), SCOPE: 203, CLAUSE: 5\n\nT879 is ground\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
947 [label="947: ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878)), SCOPE: 203, CLAUSE: 4\n\nT879 is ground\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
948 [label="948: ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878)), SCOPE: 203, CLAUSE: 5\n\nT879 is ground\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
949 [label="949: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT879 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
950 [label="950: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
951 [label="951: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 1 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 2 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 3\n\nT879 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
952 [label="952: ','(!_204, eq(0, 0)) | quot(0, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 2 | quot(0, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
953 [label="953: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 2 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 3\n\nT879 is ground\nX2903 is free\nX2904 is free\nX2905 is free\nquot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2903), s(X2904), X2905)", fontsize=16, style=filled, fillcolor=lightyellow];
954 [label="954: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
955 [label="955: eq(0, 0), SCOPE: 205, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
956 [label="956: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
957 [label="957: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
958 [label="958: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 3\n\nT879 is ground\nX2903 is free\nX2904 is free\nX2905 is free\nquot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2903), s(X2904), X2905)", fontsize=16, style=filled, fillcolor=lightyellow];
959 [label="959: ','(p(s(s(s(s(s(s(s(0))))))), X2925), quot(T885, X2925, s(s(s(s(s(s(s(0))))))), 0))\n\nT885 is ground\nX2925 is free", fontsize=16, style=filled, fillcolor=lightyellow];
960 [label="960: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
961 [label="961: ','(p(s(s(s(s(s(s(s(0))))))), X2925), quot(T885, X2925, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 206, CLAUSE: 4 | ','(p(s(s(s(s(s(s(s(0))))))), X2925), quot(T885, X2925, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 206, CLAUSE: 5\n\nT885 is ground\nX2925 is free", fontsize=16, style=filled, fillcolor=lightyellow];
962 [label="962: ','(p(s(s(s(s(s(s(s(0))))))), X2925), quot(T885, X2925, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 206, CLAUSE: 5\n\nT885 is ground\nX2925 is free", fontsize=16, style=filled, fillcolor=lightyellow];
963 [label="963: quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT885 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
964 [label="964: quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 1 | quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 2 | quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 3\n\nT885 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
965 [label="965: ','(!_207, eq(0, 0)) | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
966 [label="966: quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 2 | quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 3\n\nT885 is ground\nX2945 is free\nX2946 is free\nX2947 is free\nquot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2945), s(X2946), X2947)", fontsize=16, style=filled, fillcolor=lightyellow];
967 [label="967: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
968 [label="968: eq(0, 0), SCOPE: 208, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
969 [label="969: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
970 [label="970: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
971 [label="971: quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 3\n\nT885 is ground\nX2945 is free\nX2946 is free\nX2947 is free\nquot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2945), s(X2946), X2947)", fontsize=16, style=filled, fillcolor=lightyellow];
972 [label="972: ','(p(s(s(s(s(s(s(0)))))), X2967), quot(T889, X2967, s(s(s(s(s(s(s(0))))))), 0))\n\nT889 is ground\nX2967 is free", fontsize=16, style=filled, fillcolor=lightyellow];
973 [label="973: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
974 [label="974: ','(p(s(s(s(s(s(s(0)))))), X2967), quot(T889, X2967, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 209, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X2967), quot(T889, X2967, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 209, CLAUSE: 5\n\nT889 is ground\nX2967 is free", fontsize=16, style=filled, fillcolor=lightyellow];
975 [label="975: ','(p(s(s(s(s(s(s(0)))))), X2967), quot(T889, X2967, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 209, CLAUSE: 5\n\nT889 is ground\nX2967 is free", fontsize=16, style=filled, fillcolor=lightyellow];
976 [label="976: quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT889 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
977 [label="977: quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 1 | quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 2 | quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 3\n\nT889 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
978 [label="978: ','(!_210, eq(0, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
979 [label="979: quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 2 | quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 3\n\nT889 is ground\nX2987 is free\nX2988 is free\nX2989 is free\nquot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2987), s(X2988), X2989)", fontsize=16, style=filled, fillcolor=lightyellow];
980 [label="980: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
981 [label="981: eq(0, 0), SCOPE: 211, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
982 [label="982: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
983 [label="983: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
984 [label="984: quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 3\n\nT889 is ground\nX2987 is free\nX2988 is free\nX2989 is free\nquot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2987), s(X2988), X2989)", fontsize=16, style=filled, fillcolor=lightyellow];
985 [label="985: ','(p(s(s(s(s(s(0))))), X3009), quot(T893, X3009, s(s(s(s(s(s(s(0))))))), 0))\n\nT893 is ground\nX3009 is free", fontsize=16, style=filled, fillcolor=lightyellow];
986 [label="986: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
987 [label="987: ','(p(s(s(s(s(s(0))))), X3009), quot(T893, X3009, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 212, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X3009), quot(T893, X3009, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 212, CLAUSE: 5\n\nT893 is ground\nX3009 is free", fontsize=16, style=filled, fillcolor=lightyellow];
988 [label="988: ','(p(s(s(s(s(s(0))))), X3009), quot(T893, X3009, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 212, CLAUSE: 5\n\nT893 is ground\nX3009 is free", fontsize=16, style=filled, fillcolor=lightyellow];
989 [label="989: quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0)\n\nT893 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
990 [label="990: quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 1 | quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 2 | quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 3\n\nT893 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
991 [label="991: ','(!_213, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
992 [label="992: quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 2 | quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 3\n\nT893 is ground\nX3029 is free\nX3030 is free\nX3031 is free\nquot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3029), s(X3030), X3031)", fontsize=16, style=filled, fillcolor=lightyellow];
993 [label="993: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
994 [label="994: eq(0, 0), SCOPE: 214, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
995 [label="995: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
996 [label="996: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
997 [label="997: quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 3\n\nT893 is ground\nX3029 is free\nX3030 is free\nX3031 is free\nquot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3029), s(X3030), X3031)", fontsize=16, style=filled, fillcolor=lightyellow];
998 [label="998: ','(p(s(s(s(s(0)))), X3051), quot(T897, X3051, s(s(s(s(s(s(s(0))))))), 0))\n\nT897 is ground\nX3051 is free", fontsize=16, style=filled, fillcolor=lightyellow];
999 [label="999: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1000 [label="1000: ','(p(s(s(s(s(0)))), X3051), quot(T897, X3051, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 215, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X3051), quot(T897, X3051, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 215, CLAUSE: 5\n\nT897 is ground\nX3051 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1001 [label="1001: ','(p(s(s(s(s(0)))), X3051), quot(T897, X3051, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 215, CLAUSE: 5\n\nT897 is ground\nX3051 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1002 [label="1002: quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0)\n\nT897 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1003 [label="1003: quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 1 | quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 2 | quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 3\n\nT897 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1004 [label="1004: ','(!_216, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1005 [label="1005: quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 2 | quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 3\n\nT897 is ground\nX3071 is free\nX3072 is free\nX3073 is free\nquot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3071), s(X3072), X3073)", fontsize=16, style=filled, fillcolor=lightyellow];
1006 [label="1006: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1007 [label="1007: eq(0, 0), SCOPE: 217, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1008 [label="1008: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1009 [label="1009: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1010 [label="1010: quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 3\n\nT897 is ground\nX3071 is free\nX3072 is free\nX3073 is free\nquot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3071), s(X3072), X3073)", fontsize=16, style=filled, fillcolor=lightyellow];
1011 [label="1011: ','(p(s(s(s(0))), X3093), quot(T901, X3093, s(s(s(s(s(s(s(0))))))), 0))\n\nT901 is ground\nX3093 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1012 [label="1012: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1013 [label="1013: ','(p(s(s(s(0))), X3093), quot(T901, X3093, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 218, CLAUSE: 4 | ','(p(s(s(s(0))), X3093), quot(T901, X3093, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 218, CLAUSE: 5\n\nT901 is ground\nX3093 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1014 [label="1014: ','(p(s(s(s(0))), X3093), quot(T901, X3093, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 218, CLAUSE: 5\n\nT901 is ground\nX3093 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1015 [label="1015: quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0)\n\nT901 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1016 [label="1016: quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 1 | quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 2 | quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 3\n\nT901 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1017 [label="1017: ','(!_219, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1018 [label="1018: quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 2 | quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 3\n\nT901 is ground\nX3113 is free\nX3114 is free\nX3115 is free\nquot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3113), s(X3114), X3115)", fontsize=16, style=filled, fillcolor=lightyellow];
1019 [label="1019: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1020 [label="1020: eq(0, 0), SCOPE: 220, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1021 [label="1021: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1022 [label="1022: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1023 [label="1023: quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 3\n\nT901 is ground\nX3113 is free\nX3114 is free\nX3115 is free\nquot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3113), s(X3114), X3115)", fontsize=16, style=filled, fillcolor=lightyellow];
1024 [label="1024: ','(p(s(s(0)), X3135), quot(T905, X3135, s(s(s(s(s(s(s(0))))))), 0))\n\nT905 is ground\nX3135 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1025 [label="1025: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1026 [label="1026: ','(p(s(s(0)), X3135), quot(T905, X3135, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 221, CLAUSE: 4 | ','(p(s(s(0)), X3135), quot(T905, X3135, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 221, CLAUSE: 5\n\nT905 is ground\nX3135 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1027 [label="1027: ','(p(s(s(0)), X3135), quot(T905, X3135, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 221, CLAUSE: 5\n\nT905 is ground\nX3135 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1028 [label="1028: quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0)\n\nT905 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1029 [label="1029: quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 1 | quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 2 | quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 3\n\nT905 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1030 [label="1030: ','(!_222, eq(0, 0)) | quot(0, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1031 [label="1031: quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 2 | quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 3\n\nT905 is ground\nX3155 is free\nX3156 is free\nX3157 is free\nquot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3155), s(X3156), X3157)", fontsize=16, style=filled, fillcolor=lightyellow];
1032 [label="1032: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1033 [label="1033: eq(0, 0), SCOPE: 223, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1034 [label="1034: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1035 [label="1035: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1036 [label="1036: quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 3\n\nT905 is ground\nX3155 is free\nX3156 is free\nX3157 is free\nquot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3155), s(X3156), X3157)", fontsize=16, style=filled, fillcolor=lightyellow];
1037 [label="1037: ','(p(s(0), X3177), quot(T909, X3177, s(s(s(s(s(s(s(0))))))), 0))\n\nT909 is ground\nX3177 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1038 [label="1038: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1039 [label="1039: ','(p(s(0), X3177), quot(T909, X3177, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 224, CLAUSE: 4 | ','(p(s(0), X3177), quot(T909, X3177, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 224, CLAUSE: 5\n\nT909 is ground\nX3177 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1040 [label="1040: ','(p(s(0), X3177), quot(T909, X3177, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 224, CLAUSE: 5\n\nT909 is ground\nX3177 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1041 [label="1041: quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0)\n\nT909 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1042 [label="1042: quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 1 | quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 2 | quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 3\n\nT909 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1043 [label="1043: quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 2 | quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 3\n\nT909 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1044 [label="1044: ','(!_225, ','(eq(s(s(s(s(s(s(s(0))))))), s(X3205)), ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)))) | quot(T912, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 3\n\nT912 is ground\nX3205 is free\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1045 [label="1045: ','(eq(s(s(s(s(s(s(s(0))))))), s(X3205)), ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)))\n\nT912 is ground\nX3205 is free\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1046 [label="1046: ','(eq(s(s(s(s(s(s(s(0))))))), s(X3205)), ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206))), SCOPE: 226, CLAUSE: 6\n\nT912 is ground\nX3205 is free\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1047 [label="1047: ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206))\n\nT912 is ground\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1048 [label="1048: ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)), SCOPE: 227, CLAUSE: 4 | ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)), SCOPE: 227, CLAUSE: 5\n\nT912 is ground\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1049 [label="1049: ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)), SCOPE: 227, CLAUSE: 4\n\nT912 is ground\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1050 [label="1050: ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)), SCOPE: 227, CLAUSE: 5\n\nT912 is ground\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1051 [label="1051: quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT912 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1052 [label="1052: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1053 [label="1053: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916)\n\nT879 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1054 [label="1054: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1055 [label="1055: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 1 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 2 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 3\n\nT879 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1056 [label="1056: ','(!_228, eq(T921, 0)) | quot(0, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 2 | quot(0, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1057 [label="1057: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 2 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 3\n\nT879 is ground\nX3244 is free\nX3245 is free\nX3246 is free\nquot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916) !=? quot(0, s(X3244), s(X3245), X3246)", fontsize=16, style=filled, fillcolor=lightyellow];
1058 [label="1058: eq(T921, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1059 [label="1059: eq(T921, 0), SCOPE: 229, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1060 [label="1060: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1061 [label="1061: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1062 [label="1062: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1063 [label="1063: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 3\n\nT879 is ground\nX3244 is free\nX3245 is free\nX3246 is free\nquot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916) !=? quot(0, s(X3244), s(X3245), X3246)", fontsize=16, style=filled, fillcolor=lightyellow];
1064 [label="1064: ','(p(s(s(s(s(s(s(s(0))))))), X3266), quot(T930, X3266, s(s(s(s(s(s(s(0))))))), T932))\n\nT930 is ground\nX3266 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1065 [label="1065: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1066 [label="1066: ','(p(s(s(s(s(s(s(s(0))))))), X3266), quot(T930, X3266, s(s(s(s(s(s(s(0))))))), T932)), SCOPE: 230, CLAUSE: 4 | ','(p(s(s(s(s(s(s(s(0))))))), X3266), quot(T930, X3266, s(s(s(s(s(s(s(0))))))), T932)), SCOPE: 230, CLAUSE: 5\n\nT930 is ground\nX3266 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1067 [label="1067: ','(p(s(s(s(s(s(s(s(0))))))), X3266), quot(T930, X3266, s(s(s(s(s(s(s(0))))))), T932)), SCOPE: 230, CLAUSE: 5\n\nT930 is ground\nX3266 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1068 [label="1068: quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932)\n\nT930 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1069 [label="1069: quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 1 | quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 2 | quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 3\n\nT930 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1070 [label="1070: ','(!_231, eq(T939, 0)) | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1071 [label="1071: quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 2 | quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 3\n\nT930 is ground\nX3286 is free\nX3287 is free\nX3288 is free\nquot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932) !=? quot(0, s(X3286), s(X3287), X3288)", fontsize=16, style=filled, fillcolor=lightyellow];
1072 [label="1072: eq(T939, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1073 [label="1073: eq(T939, 0), SCOPE: 232, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1074 [label="1074: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1075 [label="1075: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1076 [label="1076: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1077 [label="1077: quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 3\n\nT930 is ground\nX3286 is free\nX3287 is free\nX3288 is free\nquot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932) !=? quot(0, s(X3286), s(X3287), X3288)", fontsize=16, style=filled, fillcolor=lightyellow];
1078 [label="1078: ','(p(s(s(s(s(s(s(0)))))), X3308), quot(T948, X3308, s(s(s(s(s(s(s(0))))))), T950))\n\nT948 is ground\nX3308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1079 [label="1079: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1080 [label="1080: ','(p(s(s(s(s(s(s(0)))))), X3308), quot(T948, X3308, s(s(s(s(s(s(s(0))))))), T950)), SCOPE: 233, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X3308), quot(T948, X3308, s(s(s(s(s(s(s(0))))))), T950)), SCOPE: 233, CLAUSE: 5\n\nT948 is ground\nX3308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1081 [label="1081: ','(p(s(s(s(s(s(s(0)))))), X3308), quot(T948, X3308, s(s(s(s(s(s(s(0))))))), T950)), SCOPE: 233, CLAUSE: 5\n\nT948 is ground\nX3308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1082 [label="1082: quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950)\n\nT948 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1083 [label="1083: quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 1 | quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 2 | quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 3\n\nT948 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1084 [label="1084: ','(!_234, eq(T957, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1085 [label="1085: quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 2 | quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 3\n\nT948 is ground\nX3328 is free\nX3329 is free\nX3330 is free\nquot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950) !=? quot(0, s(X3328), s(X3329), X3330)", fontsize=16, style=filled, fillcolor=lightyellow];
1086 [label="1086: eq(T957, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1087 [label="1087: eq(T957, 0), SCOPE: 235, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1088 [label="1088: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1089 [label="1089: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1090 [label="1090: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1091 [label="1091: quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 3\n\nT948 is ground\nX3328 is free\nX3329 is free\nX3330 is free\nquot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950) !=? quot(0, s(X3328), s(X3329), X3330)", fontsize=16, style=filled, fillcolor=lightyellow];
1092 [label="1092: ','(p(s(s(s(s(s(0))))), X3350), quot(T966, X3350, s(s(s(s(s(s(s(0))))))), T968))\n\nT966 is ground\nX3350 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1093 [label="1093: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1094 [label="1094: ','(p(s(s(s(s(s(0))))), X3350), quot(T966, X3350, s(s(s(s(s(s(s(0))))))), T968)), SCOPE: 236, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X3350), quot(T966, X3350, s(s(s(s(s(s(s(0))))))), T968)), SCOPE: 236, CLAUSE: 5\n\nT966 is ground\nX3350 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1095 [label="1095: ','(p(s(s(s(s(s(0))))), X3350), quot(T966, X3350, s(s(s(s(s(s(s(0))))))), T968)), SCOPE: 236, CLAUSE: 5\n\nT966 is ground\nX3350 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1096 [label="1096: quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968)\n\nT966 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1097 [label="1097: quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 1 | quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 2 | quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 3\n\nT966 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1098 [label="1098: ','(!_237, eq(T975, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1099 [label="1099: quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 2 | quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 3\n\nT966 is ground\nX3370 is free\nX3371 is free\nX3372 is free\nquot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968) !=? quot(0, s(X3370), s(X3371), X3372)", fontsize=16, style=filled, fillcolor=lightyellow];
1100 [label="1100: eq(T975, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1101 [label="1101: eq(T975, 0), SCOPE: 238, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1102 [label="1102: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1103 [label="1103: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1104 [label="1104: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1105 [label="1105: quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 3\n\nT966 is ground\nX3370 is free\nX3371 is free\nX3372 is free\nquot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968) !=? quot(0, s(X3370), s(X3371), X3372)", fontsize=16, style=filled, fillcolor=lightyellow];
1106 [label="1106: ','(p(s(s(s(s(0)))), X3392), quot(T984, X3392, s(s(s(s(s(s(s(0))))))), T986))\n\nT984 is ground\nX3392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1107 [label="1107: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1108 [label="1108: ','(p(s(s(s(s(0)))), X3392), quot(T984, X3392, s(s(s(s(s(s(s(0))))))), T986)), SCOPE: 239, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X3392), quot(T984, X3392, s(s(s(s(s(s(s(0))))))), T986)), SCOPE: 239, CLAUSE: 5\n\nT984 is ground\nX3392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1109 [label="1109: ','(p(s(s(s(s(0)))), X3392), quot(T984, X3392, s(s(s(s(s(s(s(0))))))), T986)), SCOPE: 239, CLAUSE: 5\n\nT984 is ground\nX3392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1110 [label="1110: quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986)\n\nT984 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1111 [label="1111: quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 1 | quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 2 | quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 3\n\nT984 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1112 [label="1112: ','(!_240, eq(T993, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1113 [label="1113: quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 2 | quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 3\n\nT984 is ground\nX3412 is free\nX3413 is free\nX3414 is free\nquot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986) !=? quot(0, s(X3412), s(X3413), X3414)", fontsize=16, style=filled, fillcolor=lightyellow];
1114 [label="1114: eq(T993, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1115 [label="1115: eq(T993, 0), SCOPE: 241, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1116 [label="1116: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1117 [label="1117: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1118 [label="1118: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1119 [label="1119: quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 3\n\nT984 is ground\nX3412 is free\nX3413 is free\nX3414 is free\nquot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986) !=? quot(0, s(X3412), s(X3413), X3414)", fontsize=16, style=filled, fillcolor=lightyellow];
1120 [label="1120: ','(p(s(s(s(0))), X3434), quot(T1002, X3434, s(s(s(s(s(s(s(0))))))), T1004))\n\nT1002 is ground\nX3434 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1121 [label="1121: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1122 [label="1122: ','(p(s(s(s(0))), X3434), quot(T1002, X3434, s(s(s(s(s(s(s(0))))))), T1004)), SCOPE: 242, CLAUSE: 4 | ','(p(s(s(s(0))), X3434), quot(T1002, X3434, s(s(s(s(s(s(s(0))))))), T1004)), SCOPE: 242, CLAUSE: 5\n\nT1002 is ground\nX3434 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1123 [label="1123: ','(p(s(s(s(0))), X3434), quot(T1002, X3434, s(s(s(s(s(s(s(0))))))), T1004)), SCOPE: 242, CLAUSE: 5\n\nT1002 is ground\nX3434 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1124 [label="1124: quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004)\n\nT1002 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1125 [label="1125: quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 1 | quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 2 | quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 3\n\nT1002 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1126 [label="1126: ','(!_243, eq(T1011, 0)) | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1127 [label="1127: quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 2 | quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 3\n\nT1002 is ground\nX3454 is free\nX3455 is free\nX3456 is free\nquot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004) !=? quot(0, s(X3454), s(X3455), X3456)", fontsize=16, style=filled, fillcolor=lightyellow];
1128 [label="1128: eq(T1011, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1129 [label="1129: eq(T1011, 0), SCOPE: 244, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1130 [label="1130: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1131 [label="1131: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1132 [label="1132: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1133 [label="1133: quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 3\n\nT1002 is ground\nX3454 is free\nX3455 is free\nX3456 is free\nquot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004) !=? quot(0, s(X3454), s(X3455), X3456)", fontsize=16, style=filled, fillcolor=lightyellow];
1134 [label="1134: ','(p(s(s(0)), X3476), quot(T1020, X3476, s(s(s(s(s(s(s(0))))))), T1022))\n\nT1020 is ground\nX3476 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1135 [label="1135: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1136 [label="1136: ','(p(s(s(0)), X3476), quot(T1020, X3476, s(s(s(s(s(s(s(0))))))), T1022)), SCOPE: 245, CLAUSE: 4 | ','(p(s(s(0)), X3476), quot(T1020, X3476, s(s(s(s(s(s(s(0))))))), T1022)), SCOPE: 245, CLAUSE: 5\n\nT1020 is ground\nX3476 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1137 [label="1137: ','(p(s(s(0)), X3476), quot(T1020, X3476, s(s(s(s(s(s(s(0))))))), T1022)), SCOPE: 245, CLAUSE: 5\n\nT1020 is ground\nX3476 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1138 [label="1138: quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022)\n\nT1020 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1139 [label="1139: quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 1 | quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 2 | quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 3\n\nT1020 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1140 [label="1140: ','(!_246, eq(T1029, 0)) | quot(0, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1141 [label="1141: quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 2 | quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 3\n\nT1020 is ground\nX3496 is free\nX3497 is free\nX3498 is free\nquot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022) !=? quot(0, s(X3496), s(X3497), X3498)", fontsize=16, style=filled, fillcolor=lightyellow];
1142 [label="1142: eq(T1029, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1143 [label="1143: eq(T1029, 0), SCOPE: 247, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1144 [label="1144: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1145 [label="1145: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1146 [label="1146: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1147 [label="1147: quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 3\n\nT1020 is ground\nX3496 is free\nX3497 is free\nX3498 is free\nquot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022) !=? quot(0, s(X3496), s(X3497), X3498)", fontsize=16, style=filled, fillcolor=lightyellow];
1148 [label="1148: ','(p(s(0), X3518), quot(T1038, X3518, s(s(s(s(s(s(s(0))))))), T1040))\n\nT1038 is ground\nX3518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1149 [label="1149: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1150 [label="1150: ','(p(s(0), X3518), quot(T1038, X3518, s(s(s(s(s(s(s(0))))))), T1040)), SCOPE: 248, CLAUSE: 4 | ','(p(s(0), X3518), quot(T1038, X3518, s(s(s(s(s(s(s(0))))))), T1040)), SCOPE: 248, CLAUSE: 5\n\nT1038 is ground\nX3518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1151 [label="1151: ','(p(s(0), X3518), quot(T1038, X3518, s(s(s(s(s(s(s(0))))))), T1040)), SCOPE: 248, CLAUSE: 5\n\nT1038 is ground\nX3518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1152 [label="1152: quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040)\n\nT1038 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1153 [label="1153: quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 1 | quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 2 | quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 3\n\nT1038 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1154 [label="1154: quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 2 | quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 3\n\nT1038 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1155 [label="1155: ','(!_249, ','(eq(s(s(s(s(s(s(s(0))))))), s(X3546)), ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)))) | quot(T1047, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 3\n\nT1047 is ground\nX3546 is free\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1156 [label="1156: ','(eq(s(s(s(s(s(s(s(0))))))), s(X3546)), ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)))\n\nT1047 is ground\nX3546 is free\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1157 [label="1157: ','(eq(s(s(s(s(s(s(s(0))))))), s(X3546)), ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547))), SCOPE: 250, CLAUSE: 6\n\nT1047 is ground\nX3546 is free\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1158 [label="1158: ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547))\n\nT1047 is ground\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1159 [label="1159: ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)), SCOPE: 251, CLAUSE: 4 | ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)), SCOPE: 251, CLAUSE: 5\n\nT1047 is ground\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1160 [label="1160: ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)), SCOPE: 251, CLAUSE: 4\n\nT1047 is ground\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1161 [label="1161: ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)), SCOPE: 251, CLAUSE: 5\n\nT1047 is ground\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1162 [label="1162: quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT1047 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1163 [label="1163: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1164 [label="1164: quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T1053)\n\nT1047 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1165 [label="1165: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1166 [label="1166: ','(p(T1062, X3585), quot(T1061, X3585, s(s(s(s(s(s(s(T1062))))))), T1064))\n\nT1061 is ground\nT1062 is ground\nX3585 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1167 [label="1167: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1168 [label="1168: ','(p(T1062, X3585), quot(T1061, X3585, s(s(s(s(s(s(s(T1062))))))), T1064)), SCOPE: 252, CLAUSE: 4 | ','(p(T1062, X3585), quot(T1061, X3585, s(s(s(s(s(s(s(T1062))))))), T1064)), SCOPE: 252, CLAUSE: 5\n\nT1061 is ground\nT1062 is ground\nX3585 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1169 [label="1169: ','(p(T1062, X3585), quot(T1061, X3585, s(s(s(s(s(s(s(T1062))))))), T1064)), SCOPE: 252, CLAUSE: 4\n\nT1061 is ground\nT1062 is ground\nX3585 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1170 [label="1170: ','(p(T1062, X3585), quot(T1061, X3585, s(s(s(s(s(s(s(T1062))))))), T1064)), SCOPE: 252, CLAUSE: 5\n\nT1061 is ground\nT1062 is ground\nX3585 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1171 [label="1171: quot(T1061, 0, s(s(s(s(s(s(s(0))))))), T1064)\n\nT1061 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1172 [label="1172: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1173 [label="1173: quot(T1061, T1069, s(s(s(s(s(s(s(s(T1069)))))))), T1064)\n\nT1061 is ground\nT1069 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1174 [label="1174: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1175 [label="1175: quot(T1061, T1069, s(T1072), T1064)\n\nT1061 is ground\nT1069 is ground\nT1072 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1176 [label="1176: quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 1 | quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 2 | quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 3\n\nT1061 is ground\nT1069 is ground\nT1072 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1177 [label="1177: ','(!_253, eq(T1085, 0)) | quot(0, s(T1082), s(T1083), T1064), SCOPE: 253, CLAUSE: 2 | quot(0, s(T1082), s(T1083), T1064), SCOPE: 253, CLAUSE: 3\n\nT1082 is ground\nT1083 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1178 [label="1178: quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 2 | quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 3\n\nT1061 is ground\nT1069 is ground\nT1072 is ground\nX3608 is free\nX3609 is free\nX3610 is free\nquot(T1061, T1069, s(T1072), T1064) !=? quot(0, s(X3608), s(X3609), X3610)", fontsize=16, style=filled, fillcolor=lightyellow];
1179 [label="1179: eq(T1085, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1180 [label="1180: eq(T1085, 0), SCOPE: 254, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1181 [label="1181: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1182 [label="1182: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1183 [label="1183: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1184 [label="1184: quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 2\n\nT1061 is ground\nT1069 is ground\nT1072 is ground\nX3608 is free\nX3609 is free\nX3610 is free\nquot(T1061, T1069, s(T1072), T1064) !=? quot(0, s(X3608), s(X3609), X3610)", fontsize=16, style=filled, fillcolor=lightyellow];
1185 [label="1185: quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 3\n\nT1061 is ground\nT1069 is ground\nT1072 is ground\nX3608 is free\nX3609 is free\nX3610 is free\nquot(T1061, T1069, s(T1072), T1064) !=? quot(0, s(X3608), s(X3609), X3610)", fontsize=16, style=filled, fillcolor=lightyellow];
1186 [label="1186: ','(!_253, ','(eq(s(T1102), s(X3633)), ','(p(T1104, X3634), quot(T1101, s(T1102), s(T1102), X3634))))\n\nT1101 is ground\nT1102 is ground\nX3633 is free\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1187 [label="1187: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1188 [label="1188: ','(eq(s(T1102), s(X3633)), ','(p(T1104, X3634), quot(T1101, s(T1102), s(T1102), X3634)))\n\nT1101 is ground\nT1102 is ground\nX3633 is free\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1189 [label="1189: ','(eq(s(T1102), s(X3633)), ','(p(T1104, X3634), quot(T1101, s(T1102), s(T1102), X3634))), SCOPE: 255, CLAUSE: 6\n\nT1101 is ground\nT1102 is ground\nX3633 is free\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1190 [label="1190: ','(p(T1104, X3634), quot(T1101, s(T1109), s(T1109), X3634))\n\nT1101 is ground\nT1109 is ground\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1191 [label="1191: ','(p(T1104, X3634), quot(T1101, s(T1109), s(T1109), X3634)), SCOPE: 256, CLAUSE: 4 | ','(p(T1104, X3634), quot(T1101, s(T1109), s(T1109), X3634)), SCOPE: 256, CLAUSE: 5\n\nT1101 is ground\nT1109 is ground\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1192 [label="1192: ','(p(T1104, X3634), quot(T1101, s(T1109), s(T1109), X3634)), SCOPE: 256, CLAUSE: 4\n\nT1101 is ground\nT1109 is ground\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1193 [label="1193: ','(p(T1104, X3634), quot(T1101, s(T1109), s(T1109), X3634)), SCOPE: 256, CLAUSE: 5\n\nT1101 is ground\nT1109 is ground\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1194 [label="1194: quot(T1101, s(T1109), s(T1109), 0)\n\nT1101 is ground\nT1109 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1195 [label="1195: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1196 [label="1196: quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 1 | quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 2 | quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 3\n\nT1101 is ground\nT1109 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1197 [label="1197: ','(!_257, eq(0, 0)) | quot(0, s(T1114), s(T1114), 0), SCOPE: 257, CLAUSE: 2 | quot(0, s(T1114), s(T1114), 0), SCOPE: 257, CLAUSE: 3\n\nT1114 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1198 [label="1198: quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 2 | quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 3\n\nT1101 is ground\nT1109 is ground\nX3659 is free\nX3660 is free\nX3661 is free\nquot(T1101, s(T1109), s(T1109), 0) !=? quot(0, s(X3659), s(X3660), X3661)", fontsize=16, style=filled, fillcolor=lightyellow];
1199 [label="1199: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1200 [label="1200: eq(0, 0), SCOPE: 258, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1201 [label="1201: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1202 [label="1202: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1203 [label="1203: quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 3\n\nT1101 is ground\nT1109 is ground\nX3659 is free\nX3660 is free\nX3661 is free\nquot(T1101, s(T1109), s(T1109), 0) !=? quot(0, s(X3659), s(X3660), X3661)", fontsize=16, style=filled, fillcolor=lightyellow];
1204 [label="1204: ','(p(s(T1121), X3681), quot(T1120, X3681, s(T1121), 0))\n\nT1120 is ground\nT1121 is ground\nX3681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1205 [label="1205: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1206 [label="1206: ','(p(s(T1121), X3681), quot(T1120, X3681, s(T1121), 0)), SCOPE: 259, CLAUSE: 4 | ','(p(s(T1121), X3681), quot(T1120, X3681, s(T1121), 0)), SCOPE: 259, CLAUSE: 5\n\nT1120 is ground\nT1121 is ground\nX3681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1207 [label="1207: ','(p(s(T1121), X3681), quot(T1120, X3681, s(T1121), 0)), SCOPE: 259, CLAUSE: 5\n\nT1120 is ground\nT1121 is ground\nX3681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1208 [label="1208: quot(T1120, T1126, s(T1126), 0)\n\nT1120 is ground\nT1126 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1209 [label="1209: quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 1 | quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 2 | quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 3\n\nT1120 is ground\nT1126 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1210 [label="1210: ','(!_260, eq(0, 0)) | quot(0, s(T1130), s(s(T1130)), 0), SCOPE: 260, CLAUSE: 2 | quot(0, s(T1130), s(s(T1130)), 0), SCOPE: 260, CLAUSE: 3\n\nT1130 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1211 [label="1211: quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 2 | quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 3\n\nT1120 is ground\nT1126 is ground\nX3701 is free\nX3702 is free\nX3703 is free\nquot(T1120, T1126, s(T1126), 0) !=? quot(0, s(X3701), s(X3702), X3703)", fontsize=16, style=filled, fillcolor=lightyellow];
1212 [label="1212: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1213 [label="1213: eq(0, 0), SCOPE: 261, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1214 [label="1214: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1215 [label="1215: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1216 [label="1216: quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 2\n\nT1120 is ground\nT1126 is ground\nX3701 is free\nX3702 is free\nX3703 is free\nquot(T1120, T1126, s(T1126), 0) !=? quot(0, s(X3701), s(X3702), X3703)", fontsize=16, style=filled, fillcolor=lightyellow];
1217 [label="1217: quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 3\n\nT1120 is ground\nT1126 is ground\nX3701 is free\nX3702 is free\nX3703 is free\nquot(T1120, T1126, s(T1126), 0) !=? quot(0, s(X3701), s(X3702), X3703)", fontsize=16, style=filled, fillcolor=lightyellow];
1218 [label="1218: ','(!_260, ','(eq(s(0), s(X3726)), ','(p(0, X3727), quot(T1135, s(0), s(0), X3727))))\n\nT1135 is ground\nX3726 is free\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1219 [label="1219: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1220 [label="1220: ','(eq(s(0), s(X3726)), ','(p(0, X3727), quot(T1135, s(0), s(0), X3727)))\n\nT1135 is ground\nX3726 is free\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1221 [label="1221: ','(eq(s(0), s(X3726)), ','(p(0, X3727), quot(T1135, s(0), s(0), X3727))), SCOPE: 262, CLAUSE: 6\n\nT1135 is ground\nX3726 is free\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1222 [label="1222: ','(p(0, X3727), quot(T1135, s(0), s(0), X3727))\n\nT1135 is ground\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1223 [label="1223: ','(p(0, X3727), quot(T1135, s(0), s(0), X3727)), SCOPE: 263, CLAUSE: 4 | ','(p(0, X3727), quot(T1135, s(0), s(0), X3727)), SCOPE: 263, CLAUSE: 5\n\nT1135 is ground\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1224 [label="1224: ','(p(0, X3727), quot(T1135, s(0), s(0), X3727)), SCOPE: 263, CLAUSE: 4\n\nT1135 is ground\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1225 [label="1225: ','(p(0, X3727), quot(T1135, s(0), s(0), X3727)), SCOPE: 263, CLAUSE: 5\n\nT1135 is ground\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1226 [label="1226: quot(T1135, s(0), s(0), 0)\n\nT1135 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1227 [label="1227: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1228 [label="1228: ','(p(T1141, X3766), quot(T1140, X3766, s(T1141), 0))\n\nT1140 is ground\nT1141 is ground\nX3766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1229 [label="1229: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1230 [label="1230: ','(p(T1141, X3766), quot(T1140, X3766, s(T1141), 0)), SCOPE: 264, CLAUSE: 4 | ','(p(T1141, X3766), quot(T1140, X3766, s(T1141), 0)), SCOPE: 264, CLAUSE: 5\n\nT1140 is ground\nT1141 is ground\nX3766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1231 [label="1231: ','(p(T1141, X3766), quot(T1140, X3766, s(T1141), 0)), SCOPE: 264, CLAUSE: 4\n\nT1140 is ground\nT1141 is ground\nX3766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1232 [label="1232: ','(p(T1141, X3766), quot(T1140, X3766, s(T1141), 0)), SCOPE: 264, CLAUSE: 5\n\nT1140 is ground\nT1141 is ground\nX3766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1233 [label="1233: quot(T1140, 0, s(0), 0)\n\nT1140 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1234 [label="1234: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1235 [label="1235: quot(T1140, T1145, s(s(T1145)), 0)\n\nT1140 is ground\nT1145 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1236 [label="1236: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1237 [label="1237: quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 1 | quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 2 | quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 3\n\nT1140 is ground\nT1145 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1238 [label="1238: ','(!_265, eq(0, 0)) | quot(0, s(T1149), s(s(s(T1149))), 0), SCOPE: 265, CLAUSE: 2 | quot(0, s(T1149), s(s(s(T1149))), 0), SCOPE: 265, CLAUSE: 3\n\nT1149 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1239 [label="1239: quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 2 | quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 3\n\nT1140 is ground\nT1145 is ground\nX3786 is free\nX3787 is free\nX3788 is free\nquot(T1140, T1145, s(s(T1145)), 0) !=? quot(0, s(X3786), s(X3787), X3788)", fontsize=16, style=filled, fillcolor=lightyellow];
1240 [label="1240: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1241 [label="1241: eq(0, 0), SCOPE: 266, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1242 [label="1242: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1243 [label="1243: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1244 [label="1244: quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 2\n\nT1140 is ground\nT1145 is ground\nX3786 is free\nX3787 is free\nX3788 is free\nquot(T1140, T1145, s(s(T1145)), 0) !=? quot(0, s(X3786), s(X3787), X3788)", fontsize=16, style=filled, fillcolor=lightyellow];
1245 [label="1245: quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 3\n\nT1140 is ground\nT1145 is ground\nX3786 is free\nX3787 is free\nX3788 is free\nquot(T1140, T1145, s(s(T1145)), 0) !=? quot(0, s(X3786), s(X3787), X3788)", fontsize=16, style=filled, fillcolor=lightyellow];
1246 [label="1246: ','(!_265, ','(eq(s(s(0)), s(X3811)), ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812))))\n\nT1154 is ground\nX3811 is free\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1247 [label="1247: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1248 [label="1248: ','(eq(s(s(0)), s(X3811)), ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812)))\n\nT1154 is ground\nX3811 is free\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1249 [label="1249: ','(eq(s(s(0)), s(X3811)), ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812))), SCOPE: 267, CLAUSE: 6\n\nT1154 is ground\nX3811 is free\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1250 [label="1250: ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812))\n\nT1154 is ground\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1251 [label="1251: ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812)), SCOPE: 268, CLAUSE: 4 | ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812)), SCOPE: 268, CLAUSE: 5\n\nT1154 is ground\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1252 [label="1252: ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812)), SCOPE: 268, CLAUSE: 4\n\nT1154 is ground\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1253 [label="1253: ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812)), SCOPE: 268, CLAUSE: 5\n\nT1154 is ground\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1254 [label="1254: quot(T1154, s(s(0)), s(s(0)), 0)\n\nT1154 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1255 [label="1255: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1256 [label="1256: ','(p(T1160, X3851), quot(T1159, X3851, s(s(T1160)), 0))\n\nT1159 is ground\nT1160 is ground\nX3851 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1257 [label="1257: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1258 [label="1258: ','(p(T1160, X3851), quot(T1159, X3851, s(s(T1160)), 0)), SCOPE: 269, CLAUSE: 4 | ','(p(T1160, X3851), quot(T1159, X3851, s(s(T1160)), 0)), SCOPE: 269, CLAUSE: 5\n\nT1159 is ground\nT1160 is ground\nX3851 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1259 [label="1259: ','(p(T1160, X3851), quot(T1159, X3851, s(s(T1160)), 0)), SCOPE: 269, CLAUSE: 4\n\nT1159 is ground\nT1160 is ground\nX3851 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1260 [label="1260: ','(p(T1160, X3851), quot(T1159, X3851, s(s(T1160)), 0)), SCOPE: 269, CLAUSE: 5\n\nT1159 is ground\nT1160 is ground\nX3851 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1261 [label="1261: quot(T1159, 0, s(s(0)), 0)\n\nT1159 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1262 [label="1262: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1263 [label="1263: quot(T1159, T1164, s(s(s(T1164))), 0)\n\nT1159 is ground\nT1164 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1264 [label="1264: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1265 [label="1265: quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 1 | quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 2 | quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 3\n\nT1159 is ground\nT1164 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1266 [label="1266: ','(!_270, eq(0, 0)) | quot(0, s(T1168), s(s(s(s(T1168)))), 0), SCOPE: 270, CLAUSE: 2 | quot(0, s(T1168), s(s(s(s(T1168)))), 0), SCOPE: 270, CLAUSE: 3\n\nT1168 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1267 [label="1267: quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 2 | quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 3\n\nT1159 is ground\nT1164 is ground\nX3871 is free\nX3872 is free\nX3873 is free\nquot(T1159, T1164, s(s(s(T1164))), 0) !=? quot(0, s(X3871), s(X3872), X3873)", fontsize=16, style=filled, fillcolor=lightyellow];
1268 [label="1268: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1269 [label="1269: eq(0, 0), SCOPE: 271, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1270 [label="1270: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1271 [label="1271: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1272 [label="1272: quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 2\n\nT1159 is ground\nT1164 is ground\nX3871 is free\nX3872 is free\nX3873 is free\nquot(T1159, T1164, s(s(s(T1164))), 0) !=? quot(0, s(X3871), s(X3872), X3873)", fontsize=16, style=filled, fillcolor=lightyellow];
1273 [label="1273: quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 3\n\nT1159 is ground\nT1164 is ground\nX3871 is free\nX3872 is free\nX3873 is free\nquot(T1159, T1164, s(s(s(T1164))), 0) !=? quot(0, s(X3871), s(X3872), X3873)", fontsize=16, style=filled, fillcolor=lightyellow];
1274 [label="1274: ','(!_270, ','(eq(s(s(s(0))), s(X3896)), ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897))))\n\nT1173 is ground\nX3896 is free\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1275 [label="1275: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1276 [label="1276: ','(eq(s(s(s(0))), s(X3896)), ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897)))\n\nT1173 is ground\nX3896 is free\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1277 [label="1277: ','(eq(s(s(s(0))), s(X3896)), ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897))), SCOPE: 272, CLAUSE: 6\n\nT1173 is ground\nX3896 is free\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1278 [label="1278: ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897))\n\nT1173 is ground\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1279 [label="1279: ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897)), SCOPE: 273, CLAUSE: 4 | ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897)), SCOPE: 273, CLAUSE: 5\n\nT1173 is ground\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1280 [label="1280: ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897)), SCOPE: 273, CLAUSE: 4\n\nT1173 is ground\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1281 [label="1281: ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897)), SCOPE: 273, CLAUSE: 5\n\nT1173 is ground\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1282 [label="1282: quot(T1173, s(s(s(0))), s(s(s(0))), 0)\n\nT1173 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1283 [label="1283: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1284 [label="1284: ','(p(T1179, X3936), quot(T1178, X3936, s(s(s(T1179))), 0))\n\nT1178 is ground\nT1179 is ground\nX3936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1285 [label="1285: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1286 [label="1286: ','(p(T1179, X3936), quot(T1178, X3936, s(s(s(T1179))), 0)), SCOPE: 274, CLAUSE: 4 | ','(p(T1179, X3936), quot(T1178, X3936, s(s(s(T1179))), 0)), SCOPE: 274, CLAUSE: 5\n\nT1178 is ground\nT1179 is ground\nX3936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1287 [label="1287: ','(p(T1179, X3936), quot(T1178, X3936, s(s(s(T1179))), 0)), SCOPE: 274, CLAUSE: 4\n\nT1178 is ground\nT1179 is ground\nX3936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1288 [label="1288: ','(p(T1179, X3936), quot(T1178, X3936, s(s(s(T1179))), 0)), SCOPE: 274, CLAUSE: 5\n\nT1178 is ground\nT1179 is ground\nX3936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1289 [label="1289: quot(T1178, 0, s(s(s(0))), 0)\n\nT1178 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1290 [label="1290: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1291 [label="1291: quot(T1178, T1183, s(s(s(s(T1183)))), 0)\n\nT1178 is ground\nT1183 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1292 [label="1292: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1293 [label="1293: quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 1 | quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 2 | quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 3\n\nT1178 is ground\nT1183 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1294 [label="1294: ','(!_275, eq(0, 0)) | quot(0, s(T1187), s(s(s(s(s(T1187))))), 0), SCOPE: 275, CLAUSE: 2 | quot(0, s(T1187), s(s(s(s(s(T1187))))), 0), SCOPE: 275, CLAUSE: 3\n\nT1187 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1295 [label="1295: quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 2 | quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 3\n\nT1178 is ground\nT1183 is ground\nX3956 is free\nX3957 is free\nX3958 is free\nquot(T1178, T1183, s(s(s(s(T1183)))), 0) !=? quot(0, s(X3956), s(X3957), X3958)", fontsize=16, style=filled, fillcolor=lightyellow];
1296 [label="1296: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1297 [label="1297: eq(0, 0), SCOPE: 276, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1298 [label="1298: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1299 [label="1299: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1300 [label="1300: quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 2\n\nT1178 is ground\nT1183 is ground\nX3956 is free\nX3957 is free\nX3958 is free\nquot(T1178, T1183, s(s(s(s(T1183)))), 0) !=? quot(0, s(X3956), s(X3957), X3958)", fontsize=16, style=filled, fillcolor=lightyellow];
1301 [label="1301: quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 3\n\nT1178 is ground\nT1183 is ground\nX3956 is free\nX3957 is free\nX3958 is free\nquot(T1178, T1183, s(s(s(s(T1183)))), 0) !=? quot(0, s(X3956), s(X3957), X3958)", fontsize=16, style=filled, fillcolor=lightyellow];
1302 [label="1302: ','(!_275, ','(eq(s(s(s(s(0)))), s(X3981)), ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982))))\n\nT1192 is ground\nX3981 is free\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1303 [label="1303: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1304 [label="1304: ','(eq(s(s(s(s(0)))), s(X3981)), ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982)))\n\nT1192 is ground\nX3981 is free\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1305 [label="1305: ','(eq(s(s(s(s(0)))), s(X3981)), ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982))), SCOPE: 277, CLAUSE: 6\n\nT1192 is ground\nX3981 is free\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1306 [label="1306: ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982))\n\nT1192 is ground\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1307 [label="1307: ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982)), SCOPE: 278, CLAUSE: 4 | ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982)), SCOPE: 278, CLAUSE: 5\n\nT1192 is ground\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1308 [label="1308: ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982)), SCOPE: 278, CLAUSE: 4\n\nT1192 is ground\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1309 [label="1309: ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982)), SCOPE: 278, CLAUSE: 5\n\nT1192 is ground\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1310 [label="1310: quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), 0)\n\nT1192 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1311 [label="1311: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1312 [label="1312: ','(p(T1198, X4021), quot(T1197, X4021, s(s(s(s(T1198)))), 0))\n\nT1197 is ground\nT1198 is ground\nX4021 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1313 [label="1313: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1314 [label="1314: ','(p(T1198, X4021), quot(T1197, X4021, s(s(s(s(T1198)))), 0)), SCOPE: 279, CLAUSE: 4 | ','(p(T1198, X4021), quot(T1197, X4021, s(s(s(s(T1198)))), 0)), SCOPE: 279, CLAUSE: 5\n\nT1197 is ground\nT1198 is ground\nX4021 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1315 [label="1315: ','(p(T1198, X4021), quot(T1197, X4021, s(s(s(s(T1198)))), 0)), SCOPE: 279, CLAUSE: 4\n\nT1197 is ground\nT1198 is ground\nX4021 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1316 [label="1316: ','(p(T1198, X4021), quot(T1197, X4021, s(s(s(s(T1198)))), 0)), SCOPE: 279, CLAUSE: 5\n\nT1197 is ground\nT1198 is ground\nX4021 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1317 [label="1317: quot(T1197, 0, s(s(s(s(0)))), 0)\n\nT1197 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1318 [label="1318: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1319 [label="1319: quot(T1197, T1202, s(s(s(s(s(T1202))))), 0)\n\nT1197 is ground\nT1202 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1320 [label="1320: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1321 [label="1321: quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 1 | quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 2 | quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 3\n\nT1197 is ground\nT1202 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1322 [label="1322: ','(!_280, eq(0, 0)) | quot(0, s(T1206), s(s(s(s(s(s(T1206)))))), 0), SCOPE: 280, CLAUSE: 2 | quot(0, s(T1206), s(s(s(s(s(s(T1206)))))), 0), SCOPE: 280, CLAUSE: 3\n\nT1206 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1323 [label="1323: quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 2 | quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 3\n\nT1197 is ground\nT1202 is ground\nX4041 is free\nX4042 is free\nX4043 is free\nquot(T1197, T1202, s(s(s(s(s(T1202))))), 0) !=? quot(0, s(X4041), s(X4042), X4043)", fontsize=16, style=filled, fillcolor=lightyellow];
1324 [label="1324: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1325 [label="1325: eq(0, 0), SCOPE: 281, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1326 [label="1326: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1327 [label="1327: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1328 [label="1328: quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 2\n\nT1197 is ground\nT1202 is ground\nX4041 is free\nX4042 is free\nX4043 is free\nquot(T1197, T1202, s(s(s(s(s(T1202))))), 0) !=? quot(0, s(X4041), s(X4042), X4043)", fontsize=16, style=filled, fillcolor=lightyellow];
1329 [label="1329: quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 3\n\nT1197 is ground\nT1202 is ground\nX4041 is free\nX4042 is free\nX4043 is free\nquot(T1197, T1202, s(s(s(s(s(T1202))))), 0) !=? quot(0, s(X4041), s(X4042), X4043)", fontsize=16, style=filled, fillcolor=lightyellow];
1330 [label="1330: ','(!_280, ','(eq(s(s(s(s(s(0))))), s(X4066)), ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067))))\n\nT1211 is ground\nX4066 is free\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1331 [label="1331: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1332 [label="1332: ','(eq(s(s(s(s(s(0))))), s(X4066)), ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067)))\n\nT1211 is ground\nX4066 is free\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1333 [label="1333: ','(eq(s(s(s(s(s(0))))), s(X4066)), ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067))), SCOPE: 282, CLAUSE: 6\n\nT1211 is ground\nX4066 is free\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1334 [label="1334: ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067))\n\nT1211 is ground\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1335 [label="1335: ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067)), SCOPE: 283, CLAUSE: 4 | ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067)), SCOPE: 283, CLAUSE: 5\n\nT1211 is ground\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1336 [label="1336: ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067)), SCOPE: 283, CLAUSE: 4\n\nT1211 is ground\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1337 [label="1337: ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067)), SCOPE: 283, CLAUSE: 5\n\nT1211 is ground\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1338 [label="1338: quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)\n\nT1211 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1339 [label="1339: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1340 [label="1340: ','(p(T1217, X4106), quot(T1216, X4106, s(s(s(s(s(T1217))))), 0))\n\nT1216 is ground\nT1217 is ground\nX4106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1341 [label="1341: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1342 [label="1342: ','(p(T1217, X4106), quot(T1216, X4106, s(s(s(s(s(T1217))))), 0)), SCOPE: 284, CLAUSE: 4 | ','(p(T1217, X4106), quot(T1216, X4106, s(s(s(s(s(T1217))))), 0)), SCOPE: 284, CLAUSE: 5\n\nT1216 is ground\nT1217 is ground\nX4106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1343 [label="1343: ','(p(T1217, X4106), quot(T1216, X4106, s(s(s(s(s(T1217))))), 0)), SCOPE: 284, CLAUSE: 4\n\nT1216 is ground\nT1217 is ground\nX4106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1344 [label="1344: ','(p(T1217, X4106), quot(T1216, X4106, s(s(s(s(s(T1217))))), 0)), SCOPE: 284, CLAUSE: 5\n\nT1216 is ground\nT1217 is ground\nX4106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1345 [label="1345: quot(T1216, 0, s(s(s(s(s(0))))), 0)\n\nT1216 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1346 [label="1346: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1347 [label="1347: quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0)\n\nT1216 is ground\nT1221 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1348 [label="1348: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1349 [label="1349: quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 1 | quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 2 | quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 3\n\nT1216 is ground\nT1221 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1350 [label="1350: ','(!_285, eq(0, 0)) | quot(0, s(T1225), s(s(s(s(s(s(s(T1225))))))), 0), SCOPE: 285, CLAUSE: 2 | quot(0, s(T1225), s(s(s(s(s(s(s(T1225))))))), 0), SCOPE: 285, CLAUSE: 3\n\nT1225 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1351 [label="1351: quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 2 | quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 3\n\nT1216 is ground\nT1221 is ground\nX4126 is free\nX4127 is free\nX4128 is free\nquot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0) !=? quot(0, s(X4126), s(X4127), X4128)", fontsize=16, style=filled, fillcolor=lightyellow];
1352 [label="1352: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1353 [label="1353: eq(0, 0), SCOPE: 286, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1354 [label="1354: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1355 [label="1355: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1356 [label="1356: quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 2\n\nT1216 is ground\nT1221 is ground\nX4126 is free\nX4127 is free\nX4128 is free\nquot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0) !=? quot(0, s(X4126), s(X4127), X4128)", fontsize=16, style=filled, fillcolor=lightyellow];
1357 [label="1357: quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 3\n\nT1216 is ground\nT1221 is ground\nX4126 is free\nX4127 is free\nX4128 is free\nquot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0) !=? quot(0, s(X4126), s(X4127), X4128)", fontsize=16, style=filled, fillcolor=lightyellow];
1358 [label="1358: ','(!_285, ','(eq(s(s(s(s(s(s(0)))))), s(X4151)), ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152))))\n\nT1230 is ground\nX4151 is free\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1359 [label="1359: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1360 [label="1360: ','(eq(s(s(s(s(s(s(0)))))), s(X4151)), ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152)))\n\nT1230 is ground\nX4151 is free\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1361 [label="1361: ','(eq(s(s(s(s(s(s(0)))))), s(X4151)), ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152))), SCOPE: 287, CLAUSE: 6\n\nT1230 is ground\nX4151 is free\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1362 [label="1362: ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152))\n\nT1230 is ground\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1363 [label="1363: ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152)), SCOPE: 288, CLAUSE: 4 | ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152)), SCOPE: 288, CLAUSE: 5\n\nT1230 is ground\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1364 [label="1364: ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152)), SCOPE: 288, CLAUSE: 4\n\nT1230 is ground\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1365 [label="1365: ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152)), SCOPE: 288, CLAUSE: 5\n\nT1230 is ground\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1366 [label="1366: quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)\n\nT1230 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1367 [label="1367: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1368 [label="1368: ','(p(T1236, X4191), quot(T1235, X4191, s(s(s(s(s(s(T1236)))))), 0))\n\nT1235 is ground\nT1236 is ground\nX4191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1369 [label="1369: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1370 [label="1370: ','(p(T1236, X4191), quot(T1235, X4191, s(s(s(s(s(s(T1236)))))), 0)), SCOPE: 289, CLAUSE: 4 | ','(p(T1236, X4191), quot(T1235, X4191, s(s(s(s(s(s(T1236)))))), 0)), SCOPE: 289, CLAUSE: 5\n\nT1235 is ground\nT1236 is ground\nX4191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1371 [label="1371: ','(p(T1236, X4191), quot(T1235, X4191, s(s(s(s(s(s(T1236)))))), 0)), SCOPE: 289, CLAUSE: 4\n\nT1235 is ground\nT1236 is ground\nX4191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1372 [label="1372: ','(p(T1236, X4191), quot(T1235, X4191, s(s(s(s(s(s(T1236)))))), 0)), SCOPE: 289, CLAUSE: 5\n\nT1235 is ground\nT1236 is ground\nX4191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1373 [label="1373: quot(T1235, 0, s(s(s(s(s(s(0)))))), 0)\n\nT1235 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1374 [label="1374: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1375 [label="1375: quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0)\n\nT1235 is ground\nT1240 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1376 [label="1376: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1377 [label="1377: quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 1 | quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 2 | quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 3\n\nT1235 is ground\nT1240 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1378 [label="1378: ','(!_290, eq(0, 0)) | quot(0, s(T1244), s(s(s(s(s(s(s(s(T1244)))))))), 0), SCOPE: 290, CLAUSE: 2 | quot(0, s(T1244), s(s(s(s(s(s(s(s(T1244)))))))), 0), SCOPE: 290, CLAUSE: 3\n\nT1244 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1379 [label="1379: quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 2 | quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 3\n\nT1235 is ground\nT1240 is ground\nX4211 is free\nX4212 is free\nX4213 is free\nquot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0) !=? quot(0, s(X4211), s(X4212), X4213)", fontsize=16, style=filled, fillcolor=lightyellow];
1380 [label="1380: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1381 [label="1381: eq(0, 0), SCOPE: 291, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1382 [label="1382: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1383 [label="1383: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1384 [label="1384: quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 2\n\nT1235 is ground\nT1240 is ground\nX4211 is free\nX4212 is free\nX4213 is free\nquot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0) !=? quot(0, s(X4211), s(X4212), X4213)", fontsize=16, style=filled, fillcolor=lightyellow];
1385 [label="1385: quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 3\n\nT1235 is ground\nT1240 is ground\nX4211 is free\nX4212 is free\nX4213 is free\nquot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0) !=? quot(0, s(X4211), s(X4212), X4213)", fontsize=16, style=filled, fillcolor=lightyellow];
1386 [label="1386: ','(!_290, ','(eq(s(s(s(s(s(s(s(0))))))), s(X4236)), ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237))))\n\nT1249 is ground\nX4236 is free\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1387 [label="1387: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1388 [label="1388: ','(eq(s(s(s(s(s(s(s(0))))))), s(X4236)), ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237)))\n\nT1249 is ground\nX4236 is free\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1389 [label="1389: ','(eq(s(s(s(s(s(s(s(0))))))), s(X4236)), ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237))), SCOPE: 292, CLAUSE: 6\n\nT1249 is ground\nX4236 is free\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1390 [label="1390: ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237))\n\nT1249 is ground\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1391 [label="1391: ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237)), SCOPE: 293, CLAUSE: 4 | ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237)), SCOPE: 293, CLAUSE: 5\n\nT1249 is ground\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1392 [label="1392: ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237)), SCOPE: 293, CLAUSE: 4\n\nT1249 is ground\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1393 [label="1393: ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237)), SCOPE: 293, CLAUSE: 5\n\nT1249 is ground\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1394 [label="1394: quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT1249 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1395 [label="1395: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1396 [label="1396: ','(p(T1255, X4276), quot(T1254, X4276, s(s(s(s(s(s(s(T1255))))))), 0))\n\nT1254 is ground\nT1255 is ground\nX4276 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1397 [label="1397: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1398 [label="1398: ','(p(T1255, X4276), quot(T1254, X4276, s(s(s(s(s(s(s(T1255))))))), 0)), SCOPE: 294, CLAUSE: 4 | ','(p(T1255, X4276), quot(T1254, X4276, s(s(s(s(s(s(s(T1255))))))), 0)), SCOPE: 294, CLAUSE: 5\n\nT1254 is ground\nT1255 is ground\nX4276 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1399 [label="1399: ','(p(T1255, X4276), quot(T1254, X4276, s(s(s(s(s(s(s(T1255))))))), 0)), SCOPE: 294, CLAUSE: 4\n\nT1254 is ground\nT1255 is ground\nX4276 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1400 [label="1400: ','(p(T1255, X4276), quot(T1254, X4276, s(s(s(s(s(s(s(T1255))))))), 0)), SCOPE: 294, CLAUSE: 5\n\nT1254 is ground\nT1255 is ground\nX4276 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1401 [label="1401: quot(T1254, 0, s(s(s(s(s(s(s(0))))))), 0)\n\nT1254 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1402 [label="1402: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1403 [label="1403: quot(T1254, T1259, s(s(s(s(s(s(s(s(T1259)))))))), 0)\n\nT1254 is ground\nT1259 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1404 [label="1404: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1405 [label="1405: quot(T1254, T1259, s(T1261), 0)\n\nT1254 is ground\nT1259 is ground\nT1261 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1406 [label="1406: quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 1 | quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 2 | quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 3\n\nT1254 is ground\nT1259 is ground\nT1261 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1407 [label="1407: ','(!_295, eq(0, 0)) | quot(0, s(T1268), s(T1269), 0), SCOPE: 295, CLAUSE: 2 | quot(0, s(T1268), s(T1269), 0), SCOPE: 295, CLAUSE: 3\n\nT1268 is ground\nT1269 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1408 [label="1408: quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 2 | quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 3\n\nT1254 is ground\nT1259 is ground\nT1261 is ground\nX4299 is free\nX4300 is free\nX4301 is free\nquot(T1254, T1259, s(T1261), 0) !=? quot(0, s(X4299), s(X4300), X4301)", fontsize=16, style=filled, fillcolor=lightyellow];
1409 [label="1409: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1410 [label="1410: eq(0, 0), SCOPE: 296, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1411 [label="1411: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1412 [label="1412: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1413 [label="1413: quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 2\n\nT1254 is ground\nT1259 is ground\nT1261 is ground\nX4299 is free\nX4300 is free\nX4301 is free\nquot(T1254, T1259, s(T1261), 0) !=? quot(0, s(X4299), s(X4300), X4301)", fontsize=16, style=filled, fillcolor=lightyellow];
1414 [label="1414: quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 3\n\nT1254 is ground\nT1259 is ground\nT1261 is ground\nX4299 is free\nX4300 is free\nX4301 is free\nquot(T1254, T1259, s(T1261), 0) !=? quot(0, s(X4299), s(X4300), X4301)", fontsize=16, style=filled, fillcolor=lightyellow];
1415 [label="1415: ','(!_295, ','(eq(s(T1279), s(X4324)), ','(p(0, X4325), quot(T1278, s(T1279), s(T1279), X4325))))\n\nT1278 is ground\nT1279 is ground\nX4324 is free\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1416 [label="1416: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1417 [label="1417: ','(eq(s(T1279), s(X4324)), ','(p(0, X4325), quot(T1278, s(T1279), s(T1279), X4325)))\n\nT1278 is ground\nT1279 is ground\nX4324 is free\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1418 [label="1418: ','(eq(s(T1279), s(X4324)), ','(p(0, X4325), quot(T1278, s(T1279), s(T1279), X4325))), SCOPE: 297, CLAUSE: 6\n\nT1278 is ground\nT1279 is ground\nX4324 is free\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1419 [label="1419: ','(p(0, X4325), quot(T1278, s(T1284), s(T1284), X4325))\n\nT1278 is ground\nT1284 is ground\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1420 [label="1420: ','(p(0, X4325), quot(T1278, s(T1284), s(T1284), X4325)), SCOPE: 298, CLAUSE: 4 | ','(p(0, X4325), quot(T1278, s(T1284), s(T1284), X4325)), SCOPE: 298, CLAUSE: 5\n\nT1278 is ground\nT1284 is ground\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1421 [label="1421: ','(p(0, X4325), quot(T1278, s(T1284), s(T1284), X4325)), SCOPE: 298, CLAUSE: 4\n\nT1278 is ground\nT1284 is ground\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1422 [label="1422: ','(p(0, X4325), quot(T1278, s(T1284), s(T1284), X4325)), SCOPE: 298, CLAUSE: 5\n\nT1278 is ground\nT1284 is ground\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1423 [label="1423: quot(T1278, s(T1284), s(T1284), 0)\n\nT1278 is ground\nT1284 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1424 [label="1424: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1425 [label="1425: ','(p(T1296, X4364), quot(T1295, X4364, s(T1297), 0))\n\nT1295 is ground\nT1296 is ground\nT1297 is ground\nX4364 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1426 [label="1426: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1427 [label="1427: ','(p(T1296, X4364), quot(T1295, X4364, s(T1297), 0)), SCOPE: 299, CLAUSE: 4 | ','(p(T1296, X4364), quot(T1295, X4364, s(T1297), 0)), SCOPE: 299, CLAUSE: 5\n\nT1295 is ground\nT1296 is ground\nT1297 is ground\nX4364 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1428 [label="1428: ','(p(T1296, X4364), quot(T1295, X4364, s(T1297), 0)), SCOPE: 299, CLAUSE: 4\n\nT1295 is ground\nT1296 is ground\nT1297 is ground\nX4364 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1429 [label="1429: ','(p(T1296, X4364), quot(T1295, X4364, s(T1297), 0)), SCOPE: 299, CLAUSE: 5\n\nT1295 is ground\nT1296 is ground\nT1297 is ground\nX4364 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1430 [label="1430: quot(T1295, 0, s(T1297), 0)\n\nT1295 is ground\nT1297 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1431 [label="1431: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1432 [label="1432: quot(T1295, 0, s(T1297), 0), SCOPE: 300, CLAUSE: 1 | quot(T1295, 0, s(T1297), 0), SCOPE: 300, CLAUSE: 2 | quot(T1295, 0, s(T1297), 0), SCOPE: 300, CLAUSE: 3\n\nT1295 is ground\nT1297 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1433 [label="1433: quot(T1295, 0, s(T1297), 0), SCOPE: 300, CLAUSE: 2 | quot(T1295, 0, s(T1297), 0), SCOPE: 300, CLAUSE: 3\n\nT1295 is ground\nT1297 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1434 [label="1434: ','(!_300, ','(eq(s(T1304), s(X4386)), ','(p(0, X4387), quot(T1303, s(T1304), s(T1304), X4387)))) | quot(T1303, 0, s(T1304), 0), SCOPE: 300, CLAUSE: 3\n\nT1303 is ground\nT1304 is ground\nX4386 is free\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1435 [label="1435: ','(eq(s(T1304), s(X4386)), ','(p(0, X4387), quot(T1303, s(T1304), s(T1304), X4387)))\n\nT1303 is ground\nT1304 is ground\nX4386 is free\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1436 [label="1436: ','(eq(s(T1304), s(X4386)), ','(p(0, X4387), quot(T1303, s(T1304), s(T1304), X4387))), SCOPE: 301, CLAUSE: 6\n\nT1303 is ground\nT1304 is ground\nX4386 is free\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1437 [label="1437: ','(p(0, X4387), quot(T1303, s(T1309), s(T1309), X4387))\n\nT1303 is ground\nT1309 is ground\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1438 [label="1438: ','(p(0, X4387), quot(T1303, s(T1309), s(T1309), X4387)), SCOPE: 302, CLAUSE: 4 | ','(p(0, X4387), quot(T1303, s(T1309), s(T1309), X4387)), SCOPE: 302, CLAUSE: 5\n\nT1303 is ground\nT1309 is ground\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1439 [label="1439: ','(p(0, X4387), quot(T1303, s(T1309), s(T1309), X4387)), SCOPE: 302, CLAUSE: 4\n\nT1303 is ground\nT1309 is ground\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1440 [label="1440: ','(p(0, X4387), quot(T1303, s(T1309), s(T1309), X4387)), SCOPE: 302, CLAUSE: 5\n\nT1303 is ground\nT1309 is ground\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1441 [label="1441: quot(T1303, s(T1309), s(T1309), 0)\n\nT1303 is ground\nT1309 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1442 [label="1442: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1443 [label="1443: quot(T1295, T1316, s(T1297), 0)\n\nT1295 is ground\nT1297 is ground\nT1316 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1444 [label="1444: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1445 [label="1445: quot(T1101, s(T1109), s(T1109), T1322)\n\nT1101 is ground\nT1109 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1446 [label="1446: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1447 [label="1447: ','(p(T1334, X4438), quot(T1333, X4438, s(T1335), T1337))\n\nT1333 is ground\nT1334 is ground\nT1335 is ground\nX4438 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1448 [label="1448: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1449 [label="1449: ','(p(T1334, X4438), quot(T1333, X4438, s(T1335), T1337)), SCOPE: 303, CLAUSE: 4 | ','(p(T1334, X4438), quot(T1333, X4438, s(T1335), T1337)), SCOPE: 303, CLAUSE: 5\n\nT1333 is ground\nT1334 is ground\nT1335 is ground\nX4438 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1450 [label="1450: ','(p(T1334, X4438), quot(T1333, X4438, s(T1335), T1337)), SCOPE: 303, CLAUSE: 4\n\nT1333 is ground\nT1334 is ground\nT1335 is ground\nX4438 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1451 [label="1451: ','(p(T1334, X4438), quot(T1333, X4438, s(T1335), T1337)), SCOPE: 303, CLAUSE: 5\n\nT1333 is ground\nT1334 is ground\nT1335 is ground\nX4438 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1452 [label="1452: quot(T1333, 0, s(T1335), T1337)\n\nT1333 is ground\nT1335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1453 [label="1453: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1454 [label="1454: quot(T1333, 0, s(T1335), T1337), SCOPE: 304, CLAUSE: 1 | quot(T1333, 0, s(T1335), T1337), SCOPE: 304, CLAUSE: 2 | quot(T1333, 0, s(T1335), T1337), SCOPE: 304, CLAUSE: 3\n\nT1333 is ground\nT1335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1455 [label="1455: quot(T1333, 0, s(T1335), T1337), SCOPE: 304, CLAUSE: 2 | quot(T1333, 0, s(T1335), T1337), SCOPE: 304, CLAUSE: 3\n\nT1333 is ground\nT1335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1456 [label="1456: ','(!_304, ','(eq(s(T1348), s(X4460)), ','(p(T1350, X4461), quot(T1347, s(T1348), s(T1348), X4461)))) | quot(T1347, 0, s(T1348), T1337), SCOPE: 304, CLAUSE: 3\n\nT1347 is ground\nT1348 is ground\nX4460 is free\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1457 [label="1457: ','(eq(s(T1348), s(X4460)), ','(p(T1350, X4461), quot(T1347, s(T1348), s(T1348), X4461)))\n\nT1347 is ground\nT1348 is ground\nX4460 is free\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1458 [label="1458: ','(eq(s(T1348), s(X4460)), ','(p(T1350, X4461), quot(T1347, s(T1348), s(T1348), X4461))), SCOPE: 305, CLAUSE: 6\n\nT1347 is ground\nT1348 is ground\nX4460 is free\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1459 [label="1459: ','(p(T1350, X4461), quot(T1347, s(T1355), s(T1355), X4461))\n\nT1347 is ground\nT1355 is ground\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1460 [label="1460: ','(p(T1350, X4461), quot(T1347, s(T1355), s(T1355), X4461)), SCOPE: 306, CLAUSE: 4 | ','(p(T1350, X4461), quot(T1347, s(T1355), s(T1355), X4461)), SCOPE: 306, CLAUSE: 5\n\nT1347 is ground\nT1355 is ground\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1461 [label="1461: ','(p(T1350, X4461), quot(T1347, s(T1355), s(T1355), X4461)), SCOPE: 306, CLAUSE: 4\n\nT1347 is ground\nT1355 is ground\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1462 [label="1462: ','(p(T1350, X4461), quot(T1347, s(T1355), s(T1355), X4461)), SCOPE: 306, CLAUSE: 5\n\nT1347 is ground\nT1355 is ground\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1463 [label="1463: quot(T1347, s(T1355), s(T1355), 0)\n\nT1347 is ground\nT1355 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1464 [label="1464: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1465 [label="1465: quot(T1347, s(T1355), s(T1355), T1361)\n\nT1347 is ground\nT1355 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1466 [label="1466: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1467 [label="1467: quot(T1333, T1366, s(T1335), T1337)\n\nT1333 is ground\nT1335 is ground\nT1366 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1468 [label="1468: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1469 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1 -> 1469 [arrowhead = none ];
1469 -> 2;

1470 [label="ONLY EVAL with clause\ndiv(X5, X6, X7) :- quot(X5, X6, X6, X7).\nand substitutionT1 -> T7,\nX5 -> T7,\nT2 -> T8,\nX6 -> T8,\nT3 -> T10,\nX7 -> T10,\nT9 -> T10", fontsize=14, style = filled, fillcolor = lightblue];
2 -> 1470 [arrowhead = none ];
1470 -> 3;

1471 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3 -> 1471 [arrowhead = none ];
1471 -> 4;

1472 [label="EVAL with clause\nquot(0, s(X14), s(X15), X16) :- ','(!_2, eq(X16, 0)).\nand substitutionT7 -> 0,\nX14 -> T15,\nT8 -> s(T15),\nX15 -> T15,\nT10 -> T17,\nX16 -> T17,\nT16 -> T17", fontsize=14, style = filled, fillcolor = lightblue];
4 -> 1472 [arrowhead = none ];
1472 -> 5;

1473 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4 -> 1473 [arrowhead = none ];
1473 -> 6;

1474 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
5 -> 1474 [arrowhead = none ];
1474 -> 7;

1475 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
6 -> 1475 [arrowhead = none ];
1475 -> 12;

1476 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
6 -> 1476 [arrowhead = none ];
1476 -> 13;

1477 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
7 -> 1477 [arrowhead = none ];
1477 -> 8;

1478 [label="EVAL with clause\neq(X19, X19).\nand substitutionT17 -> 0,\nX19 -> 0,\nT20 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
8 -> 1478 [arrowhead = none ];
1478 -> 9;

1479 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
8 -> 1479 [arrowhead = none ];
1479 -> 10;

1480 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
9 -> 1480 [arrowhead = none ];
1480 -> 11;

1481 [label="EVAL with clause\nquot(X36, 0, X37, X38) :- ','(!_2, ','(eq(X37, s(X39)), ','(p(X38, X40), quot(X36, X37, X37, X40)))).\nand substitutionT7 -> T29,\nX36 -> T29,\nT8 -> 0,\nX37 -> 0,\nT10 -> T31,\nX38 -> T31,\nT30 -> T31", fontsize=14, style = filled, fillcolor = lightblue];
12 -> 1481 [arrowhead = none ];
1481 -> 14;

1482 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
12 -> 1482 [arrowhead = none ];
1482 -> 15;

1483 [label="EVAL with clause\nquot(s(X54), X55, X56, X57) :- ','(p(X55, X58), quot(X54, X58, X56, X57)).\nand substitutionX54 -> T38,\nT7 -> s(T38),\nT8 -> T39,\nX55 -> T39,\nX56 -> T39,\nT10 -> T41,\nX57 -> T41,\nT40 -> T41", fontsize=14, style = filled, fillcolor = lightblue];
13 -> 1483 [arrowhead = none ];
1483 -> 19;

1484 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
13 -> 1484 [arrowhead = none ];
1484 -> 20;

1485 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
14 -> 1485 [arrowhead = none ];
1485 -> 16;

1486 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
16 -> 1486 [arrowhead = none ];
1486 -> 17;

1487 [label="BACKTRACK\nfor clause: eq(X, X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
17 -> 1487 [arrowhead = none ];
1487 -> 18;

1488 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
19 -> 1488 [arrowhead = none ];
1488 -> 21;

1489 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
21 -> 1489 [arrowhead = none ];
1489 -> 22;

1490 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
21 -> 1490 [arrowhead = none ];
1490 -> 23;

1491 [label="EVAL with clause\np(0, 0).\nand substitutionT39 -> 0,\nX58 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
22 -> 1491 [arrowhead = none ];
1491 -> 24;

1492 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
22 -> 1492 [arrowhead = none ];
1492 -> 25;

1493 [label="EVAL with clause\np(s(X88), X88).\nand substitutionX88 -> T54,\nT39 -> s(T54),\nX58 -> T54", fontsize=14, style = filled, fillcolor = lightblue];
23 -> 1493 [arrowhead = none ];
1493 -> 32;

1494 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
23 -> 1494 [arrowhead = none ];
1494 -> 33;

1495 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
24 -> 1495 [arrowhead = none ];
1495 -> 26;

1496 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
26 -> 1496 [arrowhead = none ];
1496 -> 27;

1497 [label="ONLY EVAL with clause\nquot(X77, 0, X78, X79) :- ','(!_6, ','(eq(X78, s(X80)), ','(p(X79, X81), quot(X77, X78, X78, X81)))).\nand substitutionT38 -> T49,\nX77 -> T49,\nX78 -> 0,\nT41 -> T51,\nX79 -> T51,\nT50 -> T51", fontsize=14, style = filled, fillcolor = lightblue];
27 -> 1497 [arrowhead = none ];
1497 -> 28;

1498 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
28 -> 1498 [arrowhead = none ];
1498 -> 29;

1499 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
29 -> 1499 [arrowhead = none ];
1499 -> 30;

1500 [label="BACKTRACK\nfor clause: eq(X, X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
30 -> 1500 [arrowhead = none ];
1500 -> 31;

1501 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
32 -> 1501 [arrowhead = none ];
1501 -> 34;

1502 [label="EVAL with clause\nquot(0, s(X98), s(X99), X100) :- ','(!_8, eq(X100, 0)).\nand substitutionT38 -> 0,\nX98 -> T61,\nT54 -> s(T61),\nX99 -> s(T61),\nT41 -> T63,\nX100 -> T63,\nT62 -> T63", fontsize=14, style = filled, fillcolor = lightblue];
34 -> 1502 [arrowhead = none ];
1502 -> 35;

1503 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
34 -> 1503 [arrowhead = none ];
1503 -> 36;

1504 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
35 -> 1504 [arrowhead = none ];
1504 -> 37;

1505 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
36 -> 1505 [arrowhead = none ];
1505 -> 42;

1506 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
36 -> 1506 [arrowhead = none ];
1506 -> 43;

1507 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
37 -> 1507 [arrowhead = none ];
1507 -> 38;

1508 [label="EVAL with clause\neq(X103, X103).\nand substitutionT63 -> 0,\nX103 -> 0,\nT66 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
38 -> 1508 [arrowhead = none ];
1508 -> 39;

1509 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
38 -> 1509 [arrowhead = none ];
1509 -> 40;

1510 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
39 -> 1510 [arrowhead = none ];
1510 -> 41;

1511 [label="EVAL with clause\nquot(X120, 0, X121, X122) :- ','(!_8, ','(eq(X121, s(X123)), ','(p(X122, X124), quot(X120, X121, X121, X124)))).\nand substitutionT38 -> T75,\nX120 -> T75,\nT54 -> 0,\nX121 -> s(0),\nT41 -> T77,\nX122 -> T77,\nT76 -> T77", fontsize=14, style = filled, fillcolor = lightblue];
42 -> 1511 [arrowhead = none ];
1511 -> 44;

1512 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
42 -> 1512 [arrowhead = none ];
1512 -> 45;

1513 [label="EVAL with clause\nquot(s(X323), X324, X325, X326) :- ','(p(X324, X327), quot(X323, X327, X325, X326)).\nand substitutionX323 -> T125,\nT38 -> s(T125),\nT54 -> T126,\nX324 -> T126,\nX325 -> s(T126),\nT41 -> T128,\nX326 -> T128,\nT127 -> T128", fontsize=14, style = filled, fillcolor = lightblue];
43 -> 1513 [arrowhead = none ];
1513 -> 107;

1514 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
43 -> 1514 [arrowhead = none ];
1514 -> 108;

1515 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
44 -> 1515 [arrowhead = none ];
1515 -> 46;

1516 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
46 -> 1516 [arrowhead = none ];
1516 -> 47;

1517 [label="ONLY EVAL with clause\neq(X135, X135).\nand substitutionX135 -> s(0),\nX123 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
47 -> 1517 [arrowhead = none ];
1517 -> 48;

1518 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
48 -> 1518 [arrowhead = none ];
1518 -> 49;

1519 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
49 -> 1519 [arrowhead = none ];
1519 -> 50;

1520 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
49 -> 1520 [arrowhead = none ];
1520 -> 51;

1521 [label="EVAL with clause\np(0, 0).\nand substitutionT77 -> 0,\nX124 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
50 -> 1521 [arrowhead = none ];
1521 -> 52;

1522 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
50 -> 1522 [arrowhead = none ];
1522 -> 53;

1523 [label="EVAL with clause\np(s(X228), X228).\nand substitutionX228 -> T88,\nT77 -> s(T88),\nX124 -> T88,\nT87 -> T88", fontsize=14, style = filled, fillcolor = lightblue];
51 -> 1523 [arrowhead = none ];
1523 -> 78;

1524 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
51 -> 1524 [arrowhead = none ];
1524 -> 79;

1525 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
52 -> 1525 [arrowhead = none ];
1525 -> 54;

1526 [label="EVAL with clause\nquot(0, s(X149), s(X150), X151) :- ','(!_12, eq(X151, 0)).\nand substitutionT75 -> 0,\nX149 -> 0,\nX150 -> 0,\nX151 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
54 -> 1526 [arrowhead = none ];
1526 -> 55;

1527 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
54 -> 1527 [arrowhead = none ];
1527 -> 56;

1528 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
55 -> 1528 [arrowhead = none ];
1528 -> 57;

1529 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
56 -> 1529 [arrowhead = none ];
1529 -> 61;

1530 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
57 -> 1530 [arrowhead = none ];
1530 -> 58;

1531 [label="ONLY EVAL with clause\neq(X154, X154).\nand substitutionX154 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
58 -> 1531 [arrowhead = none ];
1531 -> 59;

1532 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
59 -> 1532 [arrowhead = none ];
1532 -> 60;

1533 [label="EVAL with clause\nquot(s(X167), X168, X169, X170) :- ','(p(X168, X171), quot(X167, X171, X169, X170)).\nand substitutionX167 -> T81,\nT75 -> s(T81),\nX168 -> s(0),\nX169 -> s(0),\nX170 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
61 -> 1533 [arrowhead = none ];
1533 -> 62;

1534 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
61 -> 1534 [arrowhead = none ];
1534 -> 63;

1535 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
62 -> 1535 [arrowhead = none ];
1535 -> 64;

1536 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
64 -> 1536 [arrowhead = none ];
1536 -> 65;

1537 [label="ONLY EVAL with clause\np(s(X181), X181).\nand substitutionX181 -> 0,\nX171 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
65 -> 1537 [arrowhead = none ];
1537 -> 66;

1538 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
66 -> 1538 [arrowhead = none ];
1538 -> 67;

1539 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
67 -> 1539 [arrowhead = none ];
1539 -> 68;

1540 [label="ONLY EVAL with clause\nquot(X196, 0, X197, X198) :- ','(!_15, ','(eq(X197, s(X199)), ','(p(X198, X200), quot(X196, X197, X197, X200)))).\nand substitutionT81 -> T84,\nX196 -> T84,\nX197 -> s(0),\nX198 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
68 -> 1540 [arrowhead = none ];
1540 -> 69;

1541 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
69 -> 1541 [arrowhead = none ];
1541 -> 70;

1542 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
70 -> 1542 [arrowhead = none ];
1542 -> 71;

1543 [label="ONLY EVAL with clause\neq(X211, X211).\nand substitutionX211 -> s(0),\nX199 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
71 -> 1543 [arrowhead = none ];
1543 -> 72;

1544 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
72 -> 1544 [arrowhead = none ];
1544 -> 73;

1545 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
73 -> 1545 [arrowhead = none ];
1545 -> 74;

1546 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
73 -> 1546 [arrowhead = none ];
1546 -> 75;

1547 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX200 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
74 -> 1547 [arrowhead = none ];
1547 -> 76;

1548 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
75 -> 1548 [arrowhead = none ];
1548 -> 77;

1549 [label="INSTANCE with matching:\nT75 -> T84", fontsize=14, style = filled, fillcolor = lightgrey];
76 -> 1549 [arrowhead = none , style=dashed];
1549 -> 52[style=dashed];

1550 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
78 -> 1550 [arrowhead = none ];
1550 -> 80;

1551 [label="EVAL with clause\nquot(0, s(X238), s(X239), X240) :- ','(!_18, eq(X240, 0)).\nand substitutionT75 -> 0,\nX238 -> 0,\nX239 -> 0,\nT88 -> T93,\nX240 -> T93,\nT92 -> T93", fontsize=14, style = filled, fillcolor = lightblue];
80 -> 1551 [arrowhead = none ];
1551 -> 81;

1552 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
80 -> 1552 [arrowhead = none ];
1552 -> 82;

1553 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
81 -> 1553 [arrowhead = none ];
1553 -> 83;

1554 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
82 -> 1554 [arrowhead = none ];
1554 -> 88;

1555 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
83 -> 1555 [arrowhead = none ];
1555 -> 84;

1556 [label="EVAL with clause\neq(X243, X243).\nand substitutionT93 -> 0,\nX243 -> 0,\nT96 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
84 -> 1556 [arrowhead = none ];
1556 -> 85;

1557 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
84 -> 1557 [arrowhead = none ];
1557 -> 86;

1558 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
85 -> 1558 [arrowhead = none ];
1558 -> 87;

1559 [label="EVAL with clause\nquot(s(X256), X257, X258, X259) :- ','(p(X257, X260), quot(X256, X260, X258, X259)).\nand substitutionX256 -> T102,\nT75 -> s(T102),\nX257 -> s(0),\nX258 -> s(0),\nT88 -> T104,\nX259 -> T104,\nT103 -> T104", fontsize=14, style = filled, fillcolor = lightblue];
88 -> 1559 [arrowhead = none ];
1559 -> 89;

1560 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
88 -> 1560 [arrowhead = none ];
1560 -> 90;

1561 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
89 -> 1561 [arrowhead = none ];
1561 -> 91;

1562 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
91 -> 1562 [arrowhead = none ];
1562 -> 92;

1563 [label="ONLY EVAL with clause\np(s(X270), X270).\nand substitutionX270 -> 0,\nX260 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
92 -> 1563 [arrowhead = none ];
1563 -> 93;

1564 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
93 -> 1564 [arrowhead = none ];
1564 -> 94;

1565 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
94 -> 1565 [arrowhead = none ];
1565 -> 95;

1566 [label="ONLY EVAL with clause\nquot(X285, 0, X286, X287) :- ','(!_21, ','(eq(X286, s(X288)), ','(p(X287, X289), quot(X285, X286, X286, X289)))).\nand substitutionT102 -> T111,\nX285 -> T111,\nX286 -> s(0),\nT104 -> T113,\nX287 -> T113,\nT112 -> T113", fontsize=14, style = filled, fillcolor = lightblue];
95 -> 1566 [arrowhead = none ];
1566 -> 96;

1567 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
96 -> 1567 [arrowhead = none ];
1567 -> 97;

1568 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
97 -> 1568 [arrowhead = none ];
1568 -> 98;

1569 [label="ONLY EVAL with clause\neq(X300, X300).\nand substitutionX300 -> s(0),\nX288 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
98 -> 1569 [arrowhead = none ];
1569 -> 99;

1570 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
99 -> 1570 [arrowhead = none ];
1570 -> 100;

1571 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
100 -> 1571 [arrowhead = none ];
1571 -> 101;

1572 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
100 -> 1572 [arrowhead = none ];
1572 -> 102;

1573 [label="EVAL with clause\np(0, 0).\nand substitutionT113 -> 0,\nX289 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
101 -> 1573 [arrowhead = none ];
1573 -> 103;

1574 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
101 -> 1574 [arrowhead = none ];
1574 -> 104;

1575 [label="EVAL with clause\np(s(X310), X310).\nand substitutionX310 -> T117,\nT113 -> s(T117),\nX289 -> T117,\nT116 -> T117", fontsize=14, style = filled, fillcolor = lightblue];
102 -> 1575 [arrowhead = none ];
1575 -> 105;

1576 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
102 -> 1576 [arrowhead = none ];
1576 -> 106;

1577 [label="INSTANCE with matching:\nT75 -> T111", fontsize=14, style = filled, fillcolor = lightgrey];
103 -> 1577 [arrowhead = none , style=dashed];
1577 -> 52[style=dashed];

1578 [label="INSTANCE with matching:\nT75 -> T111\nT88 -> T117", fontsize=14, style = filled, fillcolor = lightgrey];
105 -> 1578 [arrowhead = none , style=dashed];
1578 -> 78[style=dashed];

1579 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
107 -> 1579 [arrowhead = none ];
1579 -> 109;

1580 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
109 -> 1580 [arrowhead = none ];
1580 -> 110;

1581 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
109 -> 1581 [arrowhead = none ];
1581 -> 111;

1582 [label="EVAL with clause\np(0, 0).\nand substitutionT126 -> 0,\nX327 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
110 -> 1582 [arrowhead = none ];
1582 -> 112;

1583 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
110 -> 1583 [arrowhead = none ];
1583 -> 113;

1584 [label="EVAL with clause\np(s(X337), X337).\nand substitutionX337 -> T133,\nT126 -> s(T133),\nX327 -> T133", fontsize=14, style = filled, fillcolor = lightblue];
111 -> 1584 [arrowhead = none ];
1584 -> 114;

1585 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
111 -> 1585 [arrowhead = none ];
1585 -> 115;

1586 [label="INSTANCE with matching:\nT102 -> T125\nT104 -> T128", fontsize=14, style = filled, fillcolor = lightgrey];
112 -> 1586 [arrowhead = none , style=dashed];
1586 -> 93[style=dashed];

1587 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
114 -> 1587 [arrowhead = none ];
1587 -> 116;

1588 [label="EVAL with clause\nquot(0, s(X347), s(X348), X349) :- ','(!_25, eq(X349, 0)).\nand substitutionT125 -> 0,\nX347 -> T140,\nT133 -> s(T140),\nX348 -> s(s(T140)),\nT128 -> T142,\nX349 -> T142,\nT141 -> T142", fontsize=14, style = filled, fillcolor = lightblue];
116 -> 1588 [arrowhead = none ];
1588 -> 117;

1589 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
116 -> 1589 [arrowhead = none ];
1589 -> 118;

1590 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
117 -> 1590 [arrowhead = none ];
1590 -> 119;

1591 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
118 -> 1591 [arrowhead = none ];
1591 -> 124;

1592 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
118 -> 1592 [arrowhead = none ];
1592 -> 125;

1593 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
119 -> 1593 [arrowhead = none ];
1593 -> 120;

1594 [label="EVAL with clause\neq(X352, X352).\nand substitutionT142 -> 0,\nX352 -> 0,\nT145 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
120 -> 1594 [arrowhead = none ];
1594 -> 121;

1595 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
120 -> 1595 [arrowhead = none ];
1595 -> 122;

1596 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
121 -> 1596 [arrowhead = none ];
1596 -> 123;

1597 [label="EVAL with clause\nquot(X369, 0, X370, X371) :- ','(!_25, ','(eq(X370, s(X372)), ','(p(X371, X373), quot(X369, X370, X370, X373)))).\nand substitutionT125 -> T154,\nX369 -> T154,\nT133 -> 0,\nX370 -> s(s(0)),\nT128 -> T156,\nX371 -> T156,\nT155 -> T156", fontsize=14, style = filled, fillcolor = lightblue];
124 -> 1597 [arrowhead = none ];
1597 -> 126;

1598 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
124 -> 1598 [arrowhead = none ];
1598 -> 127;

1599 [label="EVAL with clause\nquot(s(X656), X657, X658, X659) :- ','(p(X657, X660), quot(X656, X660, X658, X659)).\nand substitutionX656 -> T226,\nT125 -> s(T226),\nT133 -> T227,\nX657 -> T227,\nX658 -> s(s(T227)),\nT128 -> T229,\nX659 -> T229,\nT228 -> T229", fontsize=14, style = filled, fillcolor = lightblue];
125 -> 1599 [arrowhead = none ];
1599 -> 216;

1600 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
125 -> 1600 [arrowhead = none ];
1600 -> 217;

1601 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
126 -> 1601 [arrowhead = none ];
1601 -> 128;

1602 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
128 -> 1602 [arrowhead = none ];
1602 -> 129;

1603 [label="ONLY EVAL with clause\neq(X384, X384).\nand substitutionX384 -> s(s(0)),\nX372 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
129 -> 1603 [arrowhead = none ];
1603 -> 130;

1604 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
130 -> 1604 [arrowhead = none ];
1604 -> 131;

1605 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
131 -> 1605 [arrowhead = none ];
1605 -> 132;

1606 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
131 -> 1606 [arrowhead = none ];
1606 -> 133;

1607 [label="EVAL with clause\np(0, 0).\nand substitutionT156 -> 0,\nX373 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
132 -> 1607 [arrowhead = none ];
1607 -> 134;

1608 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
132 -> 1608 [arrowhead = none ];
1608 -> 135;

1609 [label="EVAL with clause\np(s(X519), X519).\nand substitutionX519 -> T171,\nT156 -> s(T171),\nX373 -> T171,\nT170 -> T171", fontsize=14, style = filled, fillcolor = lightblue];
133 -> 1609 [arrowhead = none ];
1609 -> 173;

1610 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
133 -> 1610 [arrowhead = none ];
1610 -> 174;

1611 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
134 -> 1611 [arrowhead = none ];
1611 -> 136;

1612 [label="EVAL with clause\nquot(0, s(X398), s(X399), X400) :- ','(!_29, eq(X400, 0)).\nand substitutionT154 -> 0,\nX398 -> s(0),\nX399 -> s(0),\nX400 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
136 -> 1612 [arrowhead = none ];
1612 -> 137;

1613 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
136 -> 1613 [arrowhead = none ];
1613 -> 138;

1614 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
137 -> 1614 [arrowhead = none ];
1614 -> 139;

1615 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
138 -> 1615 [arrowhead = none ];
1615 -> 143;

1616 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
139 -> 1616 [arrowhead = none ];
1616 -> 140;

1617 [label="ONLY EVAL with clause\neq(X403, X403).\nand substitutionX403 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
140 -> 1617 [arrowhead = none ];
1617 -> 141;

1618 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
141 -> 1618 [arrowhead = none ];
1618 -> 142;

1619 [label="EVAL with clause\nquot(s(X416), X417, X418, X419) :- ','(p(X417, X420), quot(X416, X420, X418, X419)).\nand substitutionX416 -> T160,\nT154 -> s(T160),\nX417 -> s(s(0)),\nX418 -> s(s(0)),\nX419 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
143 -> 1619 [arrowhead = none ];
1619 -> 144;

1620 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
143 -> 1620 [arrowhead = none ];
1620 -> 145;

1621 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
144 -> 1621 [arrowhead = none ];
1621 -> 146;

1622 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
146 -> 1622 [arrowhead = none ];
1622 -> 147;

1623 [label="ONLY EVAL with clause\np(s(X430), X430).\nand substitutionX430 -> s(0),\nX420 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
147 -> 1623 [arrowhead = none ];
1623 -> 148;

1624 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
148 -> 1624 [arrowhead = none ];
1624 -> 149;

1625 [label="EVAL with clause\nquot(0, s(X440), s(X441), X442) :- ','(!_32, eq(X442, 0)).\nand substitutionT160 -> 0,\nX440 -> 0,\nX441 -> s(0),\nX442 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
149 -> 1625 [arrowhead = none ];
1625 -> 150;

1626 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
149 -> 1626 [arrowhead = none ];
1626 -> 151;

1627 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
150 -> 1627 [arrowhead = none ];
1627 -> 152;

1628 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
151 -> 1628 [arrowhead = none ];
1628 -> 156;

1629 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
152 -> 1629 [arrowhead = none ];
1629 -> 153;

1630 [label="ONLY EVAL with clause\neq(X445, X445).\nand substitutionX445 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
153 -> 1630 [arrowhead = none ];
1630 -> 154;

1631 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
154 -> 1631 [arrowhead = none ];
1631 -> 155;

1632 [label="EVAL with clause\nquot(s(X458), X459, X460, X461) :- ','(p(X459, X462), quot(X458, X462, X460, X461)).\nand substitutionX458 -> T164,\nT160 -> s(T164),\nX459 -> s(0),\nX460 -> s(s(0)),\nX461 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
156 -> 1632 [arrowhead = none ];
1632 -> 157;

1633 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
156 -> 1633 [arrowhead = none ];
1633 -> 158;

1634 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
157 -> 1634 [arrowhead = none ];
1634 -> 159;

1635 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
159 -> 1635 [arrowhead = none ];
1635 -> 160;

1636 [label="ONLY EVAL with clause\np(s(X472), X472).\nand substitutionX472 -> 0,\nX462 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
160 -> 1636 [arrowhead = none ];
1636 -> 161;

1637 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
161 -> 1637 [arrowhead = none ];
1637 -> 162;

1638 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
162 -> 1638 [arrowhead = none ];
1638 -> 163;

1639 [label="ONLY EVAL with clause\nquot(X487, 0, X488, X489) :- ','(!_35, ','(eq(X488, s(X490)), ','(p(X489, X491), quot(X487, X488, X488, X491)))).\nand substitutionT164 -> T167,\nX487 -> T167,\nX488 -> s(s(0)),\nX489 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
163 -> 1639 [arrowhead = none ];
1639 -> 164;

1640 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
164 -> 1640 [arrowhead = none ];
1640 -> 165;

1641 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
165 -> 1641 [arrowhead = none ];
1641 -> 166;

1642 [label="ONLY EVAL with clause\neq(X502, X502).\nand substitutionX502 -> s(s(0)),\nX490 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
166 -> 1642 [arrowhead = none ];
1642 -> 167;

1643 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
167 -> 1643 [arrowhead = none ];
1643 -> 168;

1644 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
168 -> 1644 [arrowhead = none ];
1644 -> 169;

1645 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
168 -> 1645 [arrowhead = none ];
1645 -> 170;

1646 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX491 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
169 -> 1646 [arrowhead = none ];
1646 -> 171;

1647 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
170 -> 1647 [arrowhead = none ];
1647 -> 172;

1648 [label="INSTANCE with matching:\nT154 -> T167", fontsize=14, style = filled, fillcolor = lightgrey];
171 -> 1648 [arrowhead = none , style=dashed];
1648 -> 134[style=dashed];

1649 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
173 -> 1649 [arrowhead = none ];
1649 -> 175;

1650 [label="EVAL with clause\nquot(0, s(X529), s(X530), X531) :- ','(!_38, eq(X531, 0)).\nand substitutionT154 -> 0,\nX529 -> s(0),\nX530 -> s(0),\nT171 -> T176,\nX531 -> T176,\nT175 -> T176", fontsize=14, style = filled, fillcolor = lightblue];
175 -> 1650 [arrowhead = none ];
1650 -> 176;

1651 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
175 -> 1651 [arrowhead = none ];
1651 -> 177;

1652 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
176 -> 1652 [arrowhead = none ];
1652 -> 178;

1653 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
177 -> 1653 [arrowhead = none ];
1653 -> 183;

1654 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
178 -> 1654 [arrowhead = none ];
1654 -> 179;

1655 [label="EVAL with clause\neq(X534, X534).\nand substitutionT176 -> 0,\nX534 -> 0,\nT179 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
179 -> 1655 [arrowhead = none ];
1655 -> 180;

1656 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
179 -> 1656 [arrowhead = none ];
1656 -> 181;

1657 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
180 -> 1657 [arrowhead = none ];
1657 -> 182;

1658 [label="EVAL with clause\nquot(s(X547), X548, X549, X550) :- ','(p(X548, X551), quot(X547, X551, X549, X550)).\nand substitutionX547 -> T185,\nT154 -> s(T185),\nX548 -> s(s(0)),\nX549 -> s(s(0)),\nT171 -> T187,\nX550 -> T187,\nT186 -> T187", fontsize=14, style = filled, fillcolor = lightblue];
183 -> 1658 [arrowhead = none ];
1658 -> 184;

1659 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
183 -> 1659 [arrowhead = none ];
1659 -> 185;

1660 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
184 -> 1660 [arrowhead = none ];
1660 -> 186;

1661 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
186 -> 1661 [arrowhead = none ];
1661 -> 187;

1662 [label="ONLY EVAL with clause\np(s(X561), X561).\nand substitutionX561 -> s(0),\nX551 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
187 -> 1662 [arrowhead = none ];
1662 -> 188;

1663 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
188 -> 1663 [arrowhead = none ];
1663 -> 189;

1664 [label="EVAL with clause\nquot(0, s(X571), s(X572), X573) :- ','(!_41, eq(X573, 0)).\nand substitutionT185 -> 0,\nX571 -> 0,\nX572 -> s(0),\nT187 -> T194,\nX573 -> T194,\nT193 -> T194", fontsize=14, style = filled, fillcolor = lightblue];
189 -> 1664 [arrowhead = none ];
1664 -> 190;

1665 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
189 -> 1665 [arrowhead = none ];
1665 -> 191;

1666 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
190 -> 1666 [arrowhead = none ];
1666 -> 192;

1667 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
191 -> 1667 [arrowhead = none ];
1667 -> 197;

1668 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
192 -> 1668 [arrowhead = none ];
1668 -> 193;

1669 [label="EVAL with clause\neq(X576, X576).\nand substitutionT194 -> 0,\nX576 -> 0,\nT197 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
193 -> 1669 [arrowhead = none ];
1669 -> 194;

1670 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
193 -> 1670 [arrowhead = none ];
1670 -> 195;

1671 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
194 -> 1671 [arrowhead = none ];
1671 -> 196;

1672 [label="EVAL with clause\nquot(s(X589), X590, X591, X592) :- ','(p(X590, X593), quot(X589, X593, X591, X592)).\nand substitutionX589 -> T203,\nT185 -> s(T203),\nX590 -> s(0),\nX591 -> s(s(0)),\nT187 -> T205,\nX592 -> T205,\nT204 -> T205", fontsize=14, style = filled, fillcolor = lightblue];
197 -> 1672 [arrowhead = none ];
1672 -> 198;

1673 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
197 -> 1673 [arrowhead = none ];
1673 -> 199;

1674 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
198 -> 1674 [arrowhead = none ];
1674 -> 200;

1675 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
200 -> 1675 [arrowhead = none ];
1675 -> 201;

1676 [label="ONLY EVAL with clause\np(s(X603), X603).\nand substitutionX603 -> 0,\nX593 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
201 -> 1676 [arrowhead = none ];
1676 -> 202;

1677 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
202 -> 1677 [arrowhead = none ];
1677 -> 203;

1678 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
203 -> 1678 [arrowhead = none ];
1678 -> 204;

1679 [label="ONLY EVAL with clause\nquot(X618, 0, X619, X620) :- ','(!_44, ','(eq(X619, s(X621)), ','(p(X620, X622), quot(X618, X619, X619, X622)))).\nand substitutionT203 -> T212,\nX618 -> T212,\nX619 -> s(s(0)),\nT205 -> T214,\nX620 -> T214,\nT213 -> T214", fontsize=14, style = filled, fillcolor = lightblue];
204 -> 1679 [arrowhead = none ];
1679 -> 205;

1680 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
205 -> 1680 [arrowhead = none ];
1680 -> 206;

1681 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
206 -> 1681 [arrowhead = none ];
1681 -> 207;

1682 [label="ONLY EVAL with clause\neq(X633, X633).\nand substitutionX633 -> s(s(0)),\nX621 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
207 -> 1682 [arrowhead = none ];
1682 -> 208;

1683 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
208 -> 1683 [arrowhead = none ];
1683 -> 209;

1684 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
209 -> 1684 [arrowhead = none ];
1684 -> 210;

1685 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
209 -> 1685 [arrowhead = none ];
1685 -> 211;

1686 [label="EVAL with clause\np(0, 0).\nand substitutionT214 -> 0,\nX622 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
210 -> 1686 [arrowhead = none ];
1686 -> 212;

1687 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
210 -> 1687 [arrowhead = none ];
1687 -> 213;

1688 [label="EVAL with clause\np(s(X643), X643).\nand substitutionX643 -> T218,\nT214 -> s(T218),\nX622 -> T218,\nT217 -> T218", fontsize=14, style = filled, fillcolor = lightblue];
211 -> 1688 [arrowhead = none ];
1688 -> 214;

1689 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
211 -> 1689 [arrowhead = none ];
1689 -> 215;

1690 [label="INSTANCE with matching:\nT154 -> T212", fontsize=14, style = filled, fillcolor = lightgrey];
212 -> 1690 [arrowhead = none , style=dashed];
1690 -> 134[style=dashed];

1691 [label="INSTANCE with matching:\nT154 -> T212\nT171 -> T218", fontsize=14, style = filled, fillcolor = lightgrey];
214 -> 1691 [arrowhead = none , style=dashed];
1691 -> 173[style=dashed];

1692 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
216 -> 1692 [arrowhead = none ];
1692 -> 218;

1693 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
218 -> 1693 [arrowhead = none ];
1693 -> 219;

1694 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
218 -> 1694 [arrowhead = none ];
1694 -> 220;

1695 [label="EVAL with clause\np(0, 0).\nand substitutionT227 -> 0,\nX660 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
219 -> 1695 [arrowhead = none ];
1695 -> 221;

1696 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
219 -> 1696 [arrowhead = none ];
1696 -> 222;

1697 [label="EVAL with clause\np(s(X670), X670).\nand substitutionX670 -> T234,\nT227 -> s(T234),\nX660 -> T234", fontsize=14, style = filled, fillcolor = lightblue];
220 -> 1697 [arrowhead = none ];
1697 -> 223;

1698 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
220 -> 1698 [arrowhead = none ];
1698 -> 224;

1699 [label="INSTANCE with matching:\nT203 -> T226\nT205 -> T229", fontsize=14, style = filled, fillcolor = lightgrey];
221 -> 1699 [arrowhead = none , style=dashed];
1699 -> 202[style=dashed];

1700 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
223 -> 1700 [arrowhead = none ];
1700 -> 225;

1701 [label="EVAL with clause\nquot(0, s(X680), s(X681), X682) :- ','(!_48, eq(X682, 0)).\nand substitutionT226 -> 0,\nX680 -> T241,\nT234 -> s(T241),\nX681 -> s(s(s(T241))),\nT229 -> T243,\nX682 -> T243,\nT242 -> T243", fontsize=14, style = filled, fillcolor = lightblue];
225 -> 1701 [arrowhead = none ];
1701 -> 226;

1702 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
225 -> 1702 [arrowhead = none ];
1702 -> 227;

1703 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
226 -> 1703 [arrowhead = none ];
1703 -> 228;

1704 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
227 -> 1704 [arrowhead = none ];
1704 -> 233;

1705 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
227 -> 1705 [arrowhead = none ];
1705 -> 234;

1706 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
228 -> 1706 [arrowhead = none ];
1706 -> 229;

1707 [label="EVAL with clause\neq(X685, X685).\nand substitutionT243 -> 0,\nX685 -> 0,\nT246 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
229 -> 1707 [arrowhead = none ];
1707 -> 230;

1708 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
229 -> 1708 [arrowhead = none ];
1708 -> 231;

1709 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
230 -> 1709 [arrowhead = none ];
1709 -> 232;

1710 [label="EVAL with clause\nquot(X702, 0, X703, X704) :- ','(!_48, ','(eq(X703, s(X705)), ','(p(X704, X706), quot(X702, X703, X703, X706)))).\nand substitutionT226 -> T255,\nX702 -> T255,\nT234 -> 0,\nX703 -> s(s(s(0))),\nT229 -> T257,\nX704 -> T257,\nT256 -> T257", fontsize=14, style = filled, fillcolor = lightblue];
233 -> 1710 [arrowhead = none ];
1710 -> 235;

1711 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
233 -> 1711 [arrowhead = none ];
1711 -> 236;

1712 [label="EVAL with clause\nquot(s(X1073), X1074, X1075, X1076) :- ','(p(X1074, X1077), quot(X1073, X1077, X1075, X1076)).\nand substitutionX1073 -> T349,\nT226 -> s(T349),\nT234 -> T350,\nX1074 -> T350,\nX1075 -> s(s(s(T350))),\nT229 -> T352,\nX1076 -> T352,\nT351 -> T352", fontsize=14, style = filled, fillcolor = lightblue];
234 -> 1712 [arrowhead = none ];
1712 -> 352;

1713 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
234 -> 1713 [arrowhead = none ];
1713 -> 353;

1714 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
235 -> 1714 [arrowhead = none ];
1714 -> 237;

1715 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
237 -> 1715 [arrowhead = none ];
1715 -> 238;

1716 [label="ONLY EVAL with clause\neq(X717, X717).\nand substitutionX717 -> s(s(s(0))),\nX705 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
238 -> 1716 [arrowhead = none ];
1716 -> 239;

1717 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
239 -> 1717 [arrowhead = none ];
1717 -> 240;

1718 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
240 -> 1718 [arrowhead = none ];
1718 -> 241;

1719 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
240 -> 1719 [arrowhead = none ];
1719 -> 242;

1720 [label="EVAL with clause\np(0, 0).\nand substitutionT257 -> 0,\nX706 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
241 -> 1720 [arrowhead = none ];
1720 -> 243;

1721 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
241 -> 1721 [arrowhead = none ];
1721 -> 244;

1722 [label="EVAL with clause\np(s(X894), X894).\nand substitutionX894 -> T276,\nT257 -> s(T276),\nX706 -> T276,\nT275 -> T276", fontsize=14, style = filled, fillcolor = lightblue];
242 -> 1722 [arrowhead = none ];
1722 -> 295;

1723 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
242 -> 1723 [arrowhead = none ];
1723 -> 296;

1724 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
243 -> 1724 [arrowhead = none ];
1724 -> 245;

1725 [label="EVAL with clause\nquot(0, s(X731), s(X732), X733) :- ','(!_52, eq(X733, 0)).\nand substitutionT255 -> 0,\nX731 -> s(s(0)),\nX732 -> s(s(0)),\nX733 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
245 -> 1725 [arrowhead = none ];
1725 -> 246;

1726 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
245 -> 1726 [arrowhead = none ];
1726 -> 247;

1727 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
246 -> 1727 [arrowhead = none ];
1727 -> 248;

1728 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
247 -> 1728 [arrowhead = none ];
1728 -> 252;

1729 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
248 -> 1729 [arrowhead = none ];
1729 -> 249;

1730 [label="ONLY EVAL with clause\neq(X736, X736).\nand substitutionX736 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
249 -> 1730 [arrowhead = none ];
1730 -> 250;

1731 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
250 -> 1731 [arrowhead = none ];
1731 -> 251;

1732 [label="EVAL with clause\nquot(s(X749), X750, X751, X752) :- ','(p(X750, X753), quot(X749, X753, X751, X752)).\nand substitutionX749 -> T261,\nT255 -> s(T261),\nX750 -> s(s(s(0))),\nX751 -> s(s(s(0))),\nX752 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
252 -> 1732 [arrowhead = none ];
1732 -> 253;

1733 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
252 -> 1733 [arrowhead = none ];
1733 -> 254;

1734 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
253 -> 1734 [arrowhead = none ];
1734 -> 255;

1735 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
255 -> 1735 [arrowhead = none ];
1735 -> 256;

1736 [label="ONLY EVAL with clause\np(s(X763), X763).\nand substitutionX763 -> s(s(0)),\nX753 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
256 -> 1736 [arrowhead = none ];
1736 -> 257;

1737 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
257 -> 1737 [arrowhead = none ];
1737 -> 258;

1738 [label="EVAL with clause\nquot(0, s(X773), s(X774), X775) :- ','(!_55, eq(X775, 0)).\nand substitutionT261 -> 0,\nX773 -> s(0),\nX774 -> s(s(0)),\nX775 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
258 -> 1738 [arrowhead = none ];
1738 -> 259;

1739 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
258 -> 1739 [arrowhead = none ];
1739 -> 260;

1740 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
259 -> 1740 [arrowhead = none ];
1740 -> 261;

1741 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
260 -> 1741 [arrowhead = none ];
1741 -> 265;

1742 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
261 -> 1742 [arrowhead = none ];
1742 -> 262;

1743 [label="ONLY EVAL with clause\neq(X778, X778).\nand substitutionX778 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
262 -> 1743 [arrowhead = none ];
1743 -> 263;

1744 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
263 -> 1744 [arrowhead = none ];
1744 -> 264;

1745 [label="EVAL with clause\nquot(s(X791), X792, X793, X794) :- ','(p(X792, X795), quot(X791, X795, X793, X794)).\nand substitutionX791 -> T265,\nT261 -> s(T265),\nX792 -> s(s(0)),\nX793 -> s(s(s(0))),\nX794 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
265 -> 1745 [arrowhead = none ];
1745 -> 266;

1746 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
265 -> 1746 [arrowhead = none ];
1746 -> 267;

1747 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
266 -> 1747 [arrowhead = none ];
1747 -> 268;

1748 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
268 -> 1748 [arrowhead = none ];
1748 -> 269;

1749 [label="ONLY EVAL with clause\np(s(X805), X805).\nand substitutionX805 -> s(0),\nX795 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
269 -> 1749 [arrowhead = none ];
1749 -> 270;

1750 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
270 -> 1750 [arrowhead = none ];
1750 -> 271;

1751 [label="EVAL with clause\nquot(0, s(X815), s(X816), X817) :- ','(!_58, eq(X817, 0)).\nand substitutionT265 -> 0,\nX815 -> 0,\nX816 -> s(s(0)),\nX817 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
271 -> 1751 [arrowhead = none ];
1751 -> 272;

1752 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
271 -> 1752 [arrowhead = none ];
1752 -> 273;

1753 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
272 -> 1753 [arrowhead = none ];
1753 -> 274;

1754 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
273 -> 1754 [arrowhead = none ];
1754 -> 278;

1755 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
274 -> 1755 [arrowhead = none ];
1755 -> 275;

1756 [label="ONLY EVAL with clause\neq(X820, X820).\nand substitutionX820 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
275 -> 1756 [arrowhead = none ];
1756 -> 276;

1757 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
276 -> 1757 [arrowhead = none ];
1757 -> 277;

1758 [label="EVAL with clause\nquot(s(X833), X834, X835, X836) :- ','(p(X834, X837), quot(X833, X837, X835, X836)).\nand substitutionX833 -> T269,\nT265 -> s(T269),\nX834 -> s(0),\nX835 -> s(s(s(0))),\nX836 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
278 -> 1758 [arrowhead = none ];
1758 -> 279;

1759 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
278 -> 1759 [arrowhead = none ];
1759 -> 280;

1760 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
279 -> 1760 [arrowhead = none ];
1760 -> 281;

1761 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
281 -> 1761 [arrowhead = none ];
1761 -> 282;

1762 [label="ONLY EVAL with clause\np(s(X847), X847).\nand substitutionX847 -> 0,\nX837 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
282 -> 1762 [arrowhead = none ];
1762 -> 283;

1763 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
283 -> 1763 [arrowhead = none ];
1763 -> 284;

1764 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
284 -> 1764 [arrowhead = none ];
1764 -> 285;

1765 [label="ONLY EVAL with clause\nquot(X862, 0, X863, X864) :- ','(!_61, ','(eq(X863, s(X865)), ','(p(X864, X866), quot(X862, X863, X863, X866)))).\nand substitutionT269 -> T272,\nX862 -> T272,\nX863 -> s(s(s(0))),\nX864 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
285 -> 1765 [arrowhead = none ];
1765 -> 286;

1766 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
286 -> 1766 [arrowhead = none ];
1766 -> 287;

1767 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
287 -> 1767 [arrowhead = none ];
1767 -> 288;

1768 [label="ONLY EVAL with clause\neq(X877, X877).\nand substitutionX877 -> s(s(s(0))),\nX865 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
288 -> 1768 [arrowhead = none ];
1768 -> 289;

1769 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
289 -> 1769 [arrowhead = none ];
1769 -> 290;

1770 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
290 -> 1770 [arrowhead = none ];
1770 -> 291;

1771 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
290 -> 1771 [arrowhead = none ];
1771 -> 292;

1772 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX866 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
291 -> 1772 [arrowhead = none ];
1772 -> 293;

1773 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
292 -> 1773 [arrowhead = none ];
1773 -> 294;

1774 [label="INSTANCE with matching:\nT255 -> T272", fontsize=14, style = filled, fillcolor = lightgrey];
293 -> 1774 [arrowhead = none , style=dashed];
1774 -> 243[style=dashed];

1775 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
295 -> 1775 [arrowhead = none ];
1775 -> 297;

1776 [label="EVAL with clause\nquot(0, s(X904), s(X905), X906) :- ','(!_64, eq(X906, 0)).\nand substitutionT255 -> 0,\nX904 -> s(s(0)),\nX905 -> s(s(0)),\nT276 -> T281,\nX906 -> T281,\nT280 -> T281", fontsize=14, style = filled, fillcolor = lightblue];
297 -> 1776 [arrowhead = none ];
1776 -> 298;

1777 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
297 -> 1777 [arrowhead = none ];
1777 -> 299;

1778 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
298 -> 1778 [arrowhead = none ];
1778 -> 300;

1779 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
299 -> 1779 [arrowhead = none ];
1779 -> 305;

1780 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
300 -> 1780 [arrowhead = none ];
1780 -> 301;

1781 [label="EVAL with clause\neq(X909, X909).\nand substitutionT281 -> 0,\nX909 -> 0,\nT284 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
301 -> 1781 [arrowhead = none ];
1781 -> 302;

1782 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
301 -> 1782 [arrowhead = none ];
1782 -> 303;

1783 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
302 -> 1783 [arrowhead = none ];
1783 -> 304;

1784 [label="EVAL with clause\nquot(s(X922), X923, X924, X925) :- ','(p(X923, X926), quot(X922, X926, X924, X925)).\nand substitutionX922 -> T290,\nT255 -> s(T290),\nX923 -> s(s(s(0))),\nX924 -> s(s(s(0))),\nT276 -> T292,\nX925 -> T292,\nT291 -> T292", fontsize=14, style = filled, fillcolor = lightblue];
305 -> 1784 [arrowhead = none ];
1784 -> 306;

1785 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
305 -> 1785 [arrowhead = none ];
1785 -> 307;

1786 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
306 -> 1786 [arrowhead = none ];
1786 -> 308;

1787 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
308 -> 1787 [arrowhead = none ];
1787 -> 309;

1788 [label="ONLY EVAL with clause\np(s(X936), X936).\nand substitutionX936 -> s(s(0)),\nX926 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
309 -> 1788 [arrowhead = none ];
1788 -> 310;

1789 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
310 -> 1789 [arrowhead = none ];
1789 -> 311;

1790 [label="EVAL with clause\nquot(0, s(X946), s(X947), X948) :- ','(!_67, eq(X948, 0)).\nand substitutionT290 -> 0,\nX946 -> s(0),\nX947 -> s(s(0)),\nT292 -> T299,\nX948 -> T299,\nT298 -> T299", fontsize=14, style = filled, fillcolor = lightblue];
311 -> 1790 [arrowhead = none ];
1790 -> 312;

1791 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
311 -> 1791 [arrowhead = none ];
1791 -> 313;

1792 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
312 -> 1792 [arrowhead = none ];
1792 -> 314;

1793 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
313 -> 1793 [arrowhead = none ];
1793 -> 319;

1794 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
314 -> 1794 [arrowhead = none ];
1794 -> 315;

1795 [label="EVAL with clause\neq(X951, X951).\nand substitutionT299 -> 0,\nX951 -> 0,\nT302 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
315 -> 1795 [arrowhead = none ];
1795 -> 316;

1796 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
315 -> 1796 [arrowhead = none ];
1796 -> 317;

1797 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
316 -> 1797 [arrowhead = none ];
1797 -> 318;

1798 [label="EVAL with clause\nquot(s(X964), X965, X966, X967) :- ','(p(X965, X968), quot(X964, X968, X966, X967)).\nand substitutionX964 -> T308,\nT290 -> s(T308),\nX965 -> s(s(0)),\nX966 -> s(s(s(0))),\nT292 -> T310,\nX967 -> T310,\nT309 -> T310", fontsize=14, style = filled, fillcolor = lightblue];
319 -> 1798 [arrowhead = none ];
1798 -> 320;

1799 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
319 -> 1799 [arrowhead = none ];
1799 -> 321;

1800 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
320 -> 1800 [arrowhead = none ];
1800 -> 322;

1801 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
322 -> 1801 [arrowhead = none ];
1801 -> 323;

1802 [label="ONLY EVAL with clause\np(s(X978), X978).\nand substitutionX978 -> s(0),\nX968 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
323 -> 1802 [arrowhead = none ];
1802 -> 324;

1803 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
324 -> 1803 [arrowhead = none ];
1803 -> 325;

1804 [label="EVAL with clause\nquot(0, s(X988), s(X989), X990) :- ','(!_70, eq(X990, 0)).\nand substitutionT308 -> 0,\nX988 -> 0,\nX989 -> s(s(0)),\nT310 -> T317,\nX990 -> T317,\nT316 -> T317", fontsize=14, style = filled, fillcolor = lightblue];
325 -> 1804 [arrowhead = none ];
1804 -> 326;

1805 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
325 -> 1805 [arrowhead = none ];
1805 -> 327;

1806 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
326 -> 1806 [arrowhead = none ];
1806 -> 328;

1807 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
327 -> 1807 [arrowhead = none ];
1807 -> 333;

1808 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
328 -> 1808 [arrowhead = none ];
1808 -> 329;

1809 [label="EVAL with clause\neq(X993, X993).\nand substitutionT317 -> 0,\nX993 -> 0,\nT320 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
329 -> 1809 [arrowhead = none ];
1809 -> 330;

1810 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
329 -> 1810 [arrowhead = none ];
1810 -> 331;

1811 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
330 -> 1811 [arrowhead = none ];
1811 -> 332;

1812 [label="EVAL with clause\nquot(s(X1006), X1007, X1008, X1009) :- ','(p(X1007, X1010), quot(X1006, X1010, X1008, X1009)).\nand substitutionX1006 -> T326,\nT308 -> s(T326),\nX1007 -> s(0),\nX1008 -> s(s(s(0))),\nT310 -> T328,\nX1009 -> T328,\nT327 -> T328", fontsize=14, style = filled, fillcolor = lightblue];
333 -> 1812 [arrowhead = none ];
1812 -> 334;

1813 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
333 -> 1813 [arrowhead = none ];
1813 -> 335;

1814 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
334 -> 1814 [arrowhead = none ];
1814 -> 336;

1815 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
336 -> 1815 [arrowhead = none ];
1815 -> 337;

1816 [label="ONLY EVAL with clause\np(s(X1020), X1020).\nand substitutionX1020 -> 0,\nX1010 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
337 -> 1816 [arrowhead = none ];
1816 -> 338;

1817 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
338 -> 1817 [arrowhead = none ];
1817 -> 339;

1818 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
339 -> 1818 [arrowhead = none ];
1818 -> 340;

1819 [label="ONLY EVAL with clause\nquot(X1035, 0, X1036, X1037) :- ','(!_73, ','(eq(X1036, s(X1038)), ','(p(X1037, X1039), quot(X1035, X1036, X1036, X1039)))).\nand substitutionT326 -> T335,\nX1035 -> T335,\nX1036 -> s(s(s(0))),\nT328 -> T337,\nX1037 -> T337,\nT336 -> T337", fontsize=14, style = filled, fillcolor = lightblue];
340 -> 1819 [arrowhead = none ];
1819 -> 341;

1820 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
341 -> 1820 [arrowhead = none ];
1820 -> 342;

1821 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
342 -> 1821 [arrowhead = none ];
1821 -> 343;

1822 [label="ONLY EVAL with clause\neq(X1050, X1050).\nand substitutionX1050 -> s(s(s(0))),\nX1038 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
343 -> 1822 [arrowhead = none ];
1822 -> 344;

1823 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
344 -> 1823 [arrowhead = none ];
1823 -> 345;

1824 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
345 -> 1824 [arrowhead = none ];
1824 -> 346;

1825 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
345 -> 1825 [arrowhead = none ];
1825 -> 347;

1826 [label="EVAL with clause\np(0, 0).\nand substitutionT337 -> 0,\nX1039 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
346 -> 1826 [arrowhead = none ];
1826 -> 348;

1827 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
346 -> 1827 [arrowhead = none ];
1827 -> 349;

1828 [label="EVAL with clause\np(s(X1060), X1060).\nand substitutionX1060 -> T341,\nT337 -> s(T341),\nX1039 -> T341,\nT340 -> T341", fontsize=14, style = filled, fillcolor = lightblue];
347 -> 1828 [arrowhead = none ];
1828 -> 350;

1829 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
347 -> 1829 [arrowhead = none ];
1829 -> 351;

1830 [label="INSTANCE with matching:\nT255 -> T335", fontsize=14, style = filled, fillcolor = lightgrey];
348 -> 1830 [arrowhead = none , style=dashed];
1830 -> 243[style=dashed];

1831 [label="INSTANCE with matching:\nT255 -> T335\nT276 -> T341", fontsize=14, style = filled, fillcolor = lightgrey];
350 -> 1831 [arrowhead = none , style=dashed];
1831 -> 295[style=dashed];

1832 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
352 -> 1832 [arrowhead = none ];
1832 -> 354;

1833 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
354 -> 1833 [arrowhead = none ];
1833 -> 355;

1834 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
354 -> 1834 [arrowhead = none ];
1834 -> 356;

1835 [label="EVAL with clause\np(0, 0).\nand substitutionT350 -> 0,\nX1077 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
355 -> 1835 [arrowhead = none ];
1835 -> 357;

1836 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
355 -> 1836 [arrowhead = none ];
1836 -> 358;

1837 [label="EVAL with clause\np(s(X1087), X1087).\nand substitutionX1087 -> T357,\nT350 -> s(T357),\nX1077 -> T357", fontsize=14, style = filled, fillcolor = lightblue];
356 -> 1837 [arrowhead = none ];
1837 -> 359;

1838 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
356 -> 1838 [arrowhead = none ];
1838 -> 360;

1839 [label="INSTANCE with matching:\nT326 -> T349\nT328 -> T352", fontsize=14, style = filled, fillcolor = lightgrey];
357 -> 1839 [arrowhead = none , style=dashed];
1839 -> 338[style=dashed];

1840 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
359 -> 1840 [arrowhead = none ];
1840 -> 361;

1841 [label="EVAL with clause\nquot(0, s(X1097), s(X1098), X1099) :- ','(!_77, eq(X1099, 0)).\nand substitutionT349 -> 0,\nX1097 -> T364,\nT357 -> s(T364),\nX1098 -> s(s(s(s(T364)))),\nT352 -> T366,\nX1099 -> T366,\nT365 -> T366", fontsize=14, style = filled, fillcolor = lightblue];
361 -> 1841 [arrowhead = none ];
1841 -> 362;

1842 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
361 -> 1842 [arrowhead = none ];
1842 -> 363;

1843 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
362 -> 1843 [arrowhead = none ];
1843 -> 364;

1844 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
363 -> 1844 [arrowhead = none ];
1844 -> 369;

1845 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
363 -> 1845 [arrowhead = none ];
1845 -> 370;

1846 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
364 -> 1846 [arrowhead = none ];
1846 -> 365;

1847 [label="EVAL with clause\neq(X1102, X1102).\nand substitutionT366 -> 0,\nX1102 -> 0,\nT369 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
365 -> 1847 [arrowhead = none ];
1847 -> 366;

1848 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
365 -> 1848 [arrowhead = none ];
1848 -> 367;

1849 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
366 -> 1849 [arrowhead = none ];
1849 -> 368;

1850 [label="EVAL with clause\nquot(X1119, 0, X1120, X1121) :- ','(!_77, ','(eq(X1120, s(X1122)), ','(p(X1121, X1123), quot(X1119, X1120, X1120, X1123)))).\nand substitutionT349 -> T378,\nX1119 -> T378,\nT357 -> 0,\nX1120 -> s(s(s(s(0)))),\nT352 -> T380,\nX1121 -> T380,\nT379 -> T380", fontsize=14, style = filled, fillcolor = lightblue];
369 -> 1850 [arrowhead = none ];
1850 -> 371;

1851 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
369 -> 1851 [arrowhead = none ];
1851 -> 372;

1852 [label="EVAL with clause\nquot(s(X1574), X1575, X1576, X1577) :- ','(p(X1575, X1578), quot(X1574, X1578, X1576, X1577)).\nand substitutionX1574 -> T494,\nT349 -> s(T494),\nT357 -> T495,\nX1575 -> T495,\nX1576 -> s(s(s(s(T495)))),\nT352 -> T497,\nX1577 -> T497,\nT496 -> T497", fontsize=14, style = filled, fillcolor = lightblue];
370 -> 1852 [arrowhead = none ];
1852 -> 515;

1853 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
370 -> 1853 [arrowhead = none ];
1853 -> 516;

1854 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
371 -> 1854 [arrowhead = none ];
1854 -> 373;

1855 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
373 -> 1855 [arrowhead = none ];
1855 -> 374;

1856 [label="ONLY EVAL with clause\neq(X1134, X1134).\nand substitutionX1134 -> s(s(s(s(0)))),\nX1122 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
374 -> 1856 [arrowhead = none ];
1856 -> 375;

1857 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
375 -> 1857 [arrowhead = none ];
1857 -> 376;

1858 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
376 -> 1858 [arrowhead = none ];
1858 -> 377;

1859 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
376 -> 1859 [arrowhead = none ];
1859 -> 378;

1860 [label="EVAL with clause\np(0, 0).\nand substitutionT380 -> 0,\nX1123 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
377 -> 1860 [arrowhead = none ];
1860 -> 379;

1861 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
377 -> 1861 [arrowhead = none ];
1861 -> 380;

1862 [label="EVAL with clause\np(s(X1353), X1353).\nand substitutionX1353 -> T403,\nT380 -> s(T403),\nX1123 -> T403,\nT402 -> T403", fontsize=14, style = filled, fillcolor = lightblue];
378 -> 1862 [arrowhead = none ];
1862 -> 444;

1863 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
378 -> 1863 [arrowhead = none ];
1863 -> 445;

1864 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
379 -> 1864 [arrowhead = none ];
1864 -> 381;

1865 [label="EVAL with clause\nquot(0, s(X1148), s(X1149), X1150) :- ','(!_81, eq(X1150, 0)).\nand substitutionT378 -> 0,\nX1148 -> s(s(s(0))),\nX1149 -> s(s(s(0))),\nX1150 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
381 -> 1865 [arrowhead = none ];
1865 -> 382;

1866 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
381 -> 1866 [arrowhead = none ];
1866 -> 383;

1867 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
382 -> 1867 [arrowhead = none ];
1867 -> 384;

1868 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
383 -> 1868 [arrowhead = none ];
1868 -> 388;

1869 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
384 -> 1869 [arrowhead = none ];
1869 -> 385;

1870 [label="ONLY EVAL with clause\neq(X1153, X1153).\nand substitutionX1153 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
385 -> 1870 [arrowhead = none ];
1870 -> 386;

1871 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
386 -> 1871 [arrowhead = none ];
1871 -> 387;

1872 [label="EVAL with clause\nquot(s(X1166), X1167, X1168, X1169) :- ','(p(X1167, X1170), quot(X1166, X1170, X1168, X1169)).\nand substitutionX1166 -> T384,\nT378 -> s(T384),\nX1167 -> s(s(s(s(0)))),\nX1168 -> s(s(s(s(0)))),\nX1169 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
388 -> 1872 [arrowhead = none ];
1872 -> 389;

1873 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
388 -> 1873 [arrowhead = none ];
1873 -> 390;

1874 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
389 -> 1874 [arrowhead = none ];
1874 -> 391;

1875 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
391 -> 1875 [arrowhead = none ];
1875 -> 392;

1876 [label="ONLY EVAL with clause\np(s(X1180), X1180).\nand substitutionX1180 -> s(s(s(0))),\nX1170 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
392 -> 1876 [arrowhead = none ];
1876 -> 393;

1877 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
393 -> 1877 [arrowhead = none ];
1877 -> 394;

1878 [label="EVAL with clause\nquot(0, s(X1190), s(X1191), X1192) :- ','(!_84, eq(X1192, 0)).\nand substitutionT384 -> 0,\nX1190 -> s(s(0)),\nX1191 -> s(s(s(0))),\nX1192 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
394 -> 1878 [arrowhead = none ];
1878 -> 395;

1879 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
394 -> 1879 [arrowhead = none ];
1879 -> 396;

1880 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
395 -> 1880 [arrowhead = none ];
1880 -> 397;

1881 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
396 -> 1881 [arrowhead = none ];
1881 -> 401;

1882 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
397 -> 1882 [arrowhead = none ];
1882 -> 398;

1883 [label="ONLY EVAL with clause\neq(X1195, X1195).\nand substitutionX1195 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
398 -> 1883 [arrowhead = none ];
1883 -> 399;

1884 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
399 -> 1884 [arrowhead = none ];
1884 -> 400;

1885 [label="EVAL with clause\nquot(s(X1208), X1209, X1210, X1211) :- ','(p(X1209, X1212), quot(X1208, X1212, X1210, X1211)).\nand substitutionX1208 -> T388,\nT384 -> s(T388),\nX1209 -> s(s(s(0))),\nX1210 -> s(s(s(s(0)))),\nX1211 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
401 -> 1885 [arrowhead = none ];
1885 -> 402;

1886 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
401 -> 1886 [arrowhead = none ];
1886 -> 403;

1887 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
402 -> 1887 [arrowhead = none ];
1887 -> 404;

1888 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
404 -> 1888 [arrowhead = none ];
1888 -> 405;

1889 [label="ONLY EVAL with clause\np(s(X1222), X1222).\nand substitutionX1222 -> s(s(0)),\nX1212 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
405 -> 1889 [arrowhead = none ];
1889 -> 406;

1890 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
406 -> 1890 [arrowhead = none ];
1890 -> 407;

1891 [label="EVAL with clause\nquot(0, s(X1232), s(X1233), X1234) :- ','(!_87, eq(X1234, 0)).\nand substitutionT388 -> 0,\nX1232 -> s(0),\nX1233 -> s(s(s(0))),\nX1234 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
407 -> 1891 [arrowhead = none ];
1891 -> 408;

1892 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
407 -> 1892 [arrowhead = none ];
1892 -> 409;

1893 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
408 -> 1893 [arrowhead = none ];
1893 -> 410;

1894 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
409 -> 1894 [arrowhead = none ];
1894 -> 414;

1895 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
410 -> 1895 [arrowhead = none ];
1895 -> 411;

1896 [label="ONLY EVAL with clause\neq(X1237, X1237).\nand substitutionX1237 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
411 -> 1896 [arrowhead = none ];
1896 -> 412;

1897 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
412 -> 1897 [arrowhead = none ];
1897 -> 413;

1898 [label="EVAL with clause\nquot(s(X1250), X1251, X1252, X1253) :- ','(p(X1251, X1254), quot(X1250, X1254, X1252, X1253)).\nand substitutionX1250 -> T392,\nT388 -> s(T392),\nX1251 -> s(s(0)),\nX1252 -> s(s(s(s(0)))),\nX1253 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
414 -> 1898 [arrowhead = none ];
1898 -> 415;

1899 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
414 -> 1899 [arrowhead = none ];
1899 -> 416;

1900 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
415 -> 1900 [arrowhead = none ];
1900 -> 417;

1901 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
417 -> 1901 [arrowhead = none ];
1901 -> 418;

1902 [label="ONLY EVAL with clause\np(s(X1264), X1264).\nand substitutionX1264 -> s(0),\nX1254 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
418 -> 1902 [arrowhead = none ];
1902 -> 419;

1903 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
419 -> 1903 [arrowhead = none ];
1903 -> 420;

1904 [label="EVAL with clause\nquot(0, s(X1274), s(X1275), X1276) :- ','(!_90, eq(X1276, 0)).\nand substitutionT392 -> 0,\nX1274 -> 0,\nX1275 -> s(s(s(0))),\nX1276 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
420 -> 1904 [arrowhead = none ];
1904 -> 421;

1905 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
420 -> 1905 [arrowhead = none ];
1905 -> 422;

1906 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
421 -> 1906 [arrowhead = none ];
1906 -> 423;

1907 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
422 -> 1907 [arrowhead = none ];
1907 -> 427;

1908 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
423 -> 1908 [arrowhead = none ];
1908 -> 424;

1909 [label="ONLY EVAL with clause\neq(X1279, X1279).\nand substitutionX1279 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
424 -> 1909 [arrowhead = none ];
1909 -> 425;

1910 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
425 -> 1910 [arrowhead = none ];
1910 -> 426;

1911 [label="EVAL with clause\nquot(s(X1292), X1293, X1294, X1295) :- ','(p(X1293, X1296), quot(X1292, X1296, X1294, X1295)).\nand substitutionX1292 -> T396,\nT392 -> s(T396),\nX1293 -> s(0),\nX1294 -> s(s(s(s(0)))),\nX1295 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
427 -> 1911 [arrowhead = none ];
1911 -> 428;

1912 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
427 -> 1912 [arrowhead = none ];
1912 -> 429;

1913 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
428 -> 1913 [arrowhead = none ];
1913 -> 430;

1914 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
430 -> 1914 [arrowhead = none ];
1914 -> 431;

1915 [label="ONLY EVAL with clause\np(s(X1306), X1306).\nand substitutionX1306 -> 0,\nX1296 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
431 -> 1915 [arrowhead = none ];
1915 -> 432;

1916 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
432 -> 1916 [arrowhead = none ];
1916 -> 433;

1917 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
433 -> 1917 [arrowhead = none ];
1917 -> 434;

1918 [label="ONLY EVAL with clause\nquot(X1321, 0, X1322, X1323) :- ','(!_93, ','(eq(X1322, s(X1324)), ','(p(X1323, X1325), quot(X1321, X1322, X1322, X1325)))).\nand substitutionT396 -> T399,\nX1321 -> T399,\nX1322 -> s(s(s(s(0)))),\nX1323 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
434 -> 1918 [arrowhead = none ];
1918 -> 435;

1919 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
435 -> 1919 [arrowhead = none ];
1919 -> 436;

1920 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
436 -> 1920 [arrowhead = none ];
1920 -> 437;

1921 [label="ONLY EVAL with clause\neq(X1336, X1336).\nand substitutionX1336 -> s(s(s(s(0)))),\nX1324 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
437 -> 1921 [arrowhead = none ];
1921 -> 438;

1922 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
438 -> 1922 [arrowhead = none ];
1922 -> 439;

1923 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
439 -> 1923 [arrowhead = none ];
1923 -> 440;

1924 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
439 -> 1924 [arrowhead = none ];
1924 -> 441;

1925 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX1325 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
440 -> 1925 [arrowhead = none ];
1925 -> 442;

1926 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
441 -> 1926 [arrowhead = none ];
1926 -> 443;

1927 [label="INSTANCE with matching:\nT378 -> T399", fontsize=14, style = filled, fillcolor = lightgrey];
442 -> 1927 [arrowhead = none , style=dashed];
1927 -> 379[style=dashed];

1928 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
444 -> 1928 [arrowhead = none ];
1928 -> 446;

1929 [label="EVAL with clause\nquot(0, s(X1363), s(X1364), X1365) :- ','(!_96, eq(X1365, 0)).\nand substitutionT378 -> 0,\nX1363 -> s(s(s(0))),\nX1364 -> s(s(s(0))),\nT403 -> T408,\nX1365 -> T408,\nT407 -> T408", fontsize=14, style = filled, fillcolor = lightblue];
446 -> 1929 [arrowhead = none ];
1929 -> 447;

1930 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
446 -> 1930 [arrowhead = none ];
1930 -> 448;

1931 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
447 -> 1931 [arrowhead = none ];
1931 -> 449;

1932 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
448 -> 1932 [arrowhead = none ];
1932 -> 454;

1933 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
449 -> 1933 [arrowhead = none ];
1933 -> 450;

1934 [label="EVAL with clause\neq(X1368, X1368).\nand substitutionT408 -> 0,\nX1368 -> 0,\nT411 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
450 -> 1934 [arrowhead = none ];
1934 -> 451;

1935 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
450 -> 1935 [arrowhead = none ];
1935 -> 452;

1936 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
451 -> 1936 [arrowhead = none ];
1936 -> 453;

1937 [label="EVAL with clause\nquot(s(X1381), X1382, X1383, X1384) :- ','(p(X1382, X1385), quot(X1381, X1385, X1383, X1384)).\nand substitutionX1381 -> T417,\nT378 -> s(T417),\nX1382 -> s(s(s(s(0)))),\nX1383 -> s(s(s(s(0)))),\nT403 -> T419,\nX1384 -> T419,\nT418 -> T419", fontsize=14, style = filled, fillcolor = lightblue];
454 -> 1937 [arrowhead = none ];
1937 -> 455;

1938 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
454 -> 1938 [arrowhead = none ];
1938 -> 456;

1939 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
455 -> 1939 [arrowhead = none ];
1939 -> 457;

1940 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
457 -> 1940 [arrowhead = none ];
1940 -> 458;

1941 [label="ONLY EVAL with clause\np(s(X1395), X1395).\nand substitutionX1395 -> s(s(s(0))),\nX1385 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
458 -> 1941 [arrowhead = none ];
1941 -> 459;

1942 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
459 -> 1942 [arrowhead = none ];
1942 -> 460;

1943 [label="EVAL with clause\nquot(0, s(X1405), s(X1406), X1407) :- ','(!_99, eq(X1407, 0)).\nand substitutionT417 -> 0,\nX1405 -> s(s(0)),\nX1406 -> s(s(s(0))),\nT419 -> T426,\nX1407 -> T426,\nT425 -> T426", fontsize=14, style = filled, fillcolor = lightblue];
460 -> 1943 [arrowhead = none ];
1943 -> 461;

1944 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
460 -> 1944 [arrowhead = none ];
1944 -> 462;

1945 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
461 -> 1945 [arrowhead = none ];
1945 -> 463;

1946 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
462 -> 1946 [arrowhead = none ];
1946 -> 468;

1947 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
463 -> 1947 [arrowhead = none ];
1947 -> 464;

1948 [label="EVAL with clause\neq(X1410, X1410).\nand substitutionT426 -> 0,\nX1410 -> 0,\nT429 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
464 -> 1948 [arrowhead = none ];
1948 -> 465;

1949 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
464 -> 1949 [arrowhead = none ];
1949 -> 466;

1950 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
465 -> 1950 [arrowhead = none ];
1950 -> 467;

1951 [label="EVAL with clause\nquot(s(X1423), X1424, X1425, X1426) :- ','(p(X1424, X1427), quot(X1423, X1427, X1425, X1426)).\nand substitutionX1423 -> T435,\nT417 -> s(T435),\nX1424 -> s(s(s(0))),\nX1425 -> s(s(s(s(0)))),\nT419 -> T437,\nX1426 -> T437,\nT436 -> T437", fontsize=14, style = filled, fillcolor = lightblue];
468 -> 1951 [arrowhead = none ];
1951 -> 469;

1952 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
468 -> 1952 [arrowhead = none ];
1952 -> 470;

1953 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
469 -> 1953 [arrowhead = none ];
1953 -> 471;

1954 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
471 -> 1954 [arrowhead = none ];
1954 -> 472;

1955 [label="ONLY EVAL with clause\np(s(X1437), X1437).\nand substitutionX1437 -> s(s(0)),\nX1427 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
472 -> 1955 [arrowhead = none ];
1955 -> 473;

1956 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
473 -> 1956 [arrowhead = none ];
1956 -> 474;

1957 [label="EVAL with clause\nquot(0, s(X1447), s(X1448), X1449) :- ','(!_102, eq(X1449, 0)).\nand substitutionT435 -> 0,\nX1447 -> s(0),\nX1448 -> s(s(s(0))),\nT437 -> T444,\nX1449 -> T444,\nT443 -> T444", fontsize=14, style = filled, fillcolor = lightblue];
474 -> 1957 [arrowhead = none ];
1957 -> 475;

1958 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
474 -> 1958 [arrowhead = none ];
1958 -> 476;

1959 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
475 -> 1959 [arrowhead = none ];
1959 -> 477;

1960 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
476 -> 1960 [arrowhead = none ];
1960 -> 482;

1961 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
477 -> 1961 [arrowhead = none ];
1961 -> 478;

1962 [label="EVAL with clause\neq(X1452, X1452).\nand substitutionT444 -> 0,\nX1452 -> 0,\nT447 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
478 -> 1962 [arrowhead = none ];
1962 -> 479;

1963 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
478 -> 1963 [arrowhead = none ];
1963 -> 480;

1964 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
479 -> 1964 [arrowhead = none ];
1964 -> 481;

1965 [label="EVAL with clause\nquot(s(X1465), X1466, X1467, X1468) :- ','(p(X1466, X1469), quot(X1465, X1469, X1467, X1468)).\nand substitutionX1465 -> T453,\nT435 -> s(T453),\nX1466 -> s(s(0)),\nX1467 -> s(s(s(s(0)))),\nT437 -> T455,\nX1468 -> T455,\nT454 -> T455", fontsize=14, style = filled, fillcolor = lightblue];
482 -> 1965 [arrowhead = none ];
1965 -> 483;

1966 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
482 -> 1966 [arrowhead = none ];
1966 -> 484;

1967 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
483 -> 1967 [arrowhead = none ];
1967 -> 485;

1968 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
485 -> 1968 [arrowhead = none ];
1968 -> 486;

1969 [label="ONLY EVAL with clause\np(s(X1479), X1479).\nand substitutionX1479 -> s(0),\nX1469 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
486 -> 1969 [arrowhead = none ];
1969 -> 487;

1970 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
487 -> 1970 [arrowhead = none ];
1970 -> 488;

1971 [label="EVAL with clause\nquot(0, s(X1489), s(X1490), X1491) :- ','(!_105, eq(X1491, 0)).\nand substitutionT453 -> 0,\nX1489 -> 0,\nX1490 -> s(s(s(0))),\nT455 -> T462,\nX1491 -> T462,\nT461 -> T462", fontsize=14, style = filled, fillcolor = lightblue];
488 -> 1971 [arrowhead = none ];
1971 -> 489;

1972 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
488 -> 1972 [arrowhead = none ];
1972 -> 490;

1973 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
489 -> 1973 [arrowhead = none ];
1973 -> 491;

1974 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
490 -> 1974 [arrowhead = none ];
1974 -> 496;

1975 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
491 -> 1975 [arrowhead = none ];
1975 -> 492;

1976 [label="EVAL with clause\neq(X1494, X1494).\nand substitutionT462 -> 0,\nX1494 -> 0,\nT465 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
492 -> 1976 [arrowhead = none ];
1976 -> 493;

1977 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
492 -> 1977 [arrowhead = none ];
1977 -> 494;

1978 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
493 -> 1978 [arrowhead = none ];
1978 -> 495;

1979 [label="EVAL with clause\nquot(s(X1507), X1508, X1509, X1510) :- ','(p(X1508, X1511), quot(X1507, X1511, X1509, X1510)).\nand substitutionX1507 -> T471,\nT453 -> s(T471),\nX1508 -> s(0),\nX1509 -> s(s(s(s(0)))),\nT455 -> T473,\nX1510 -> T473,\nT472 -> T473", fontsize=14, style = filled, fillcolor = lightblue];
496 -> 1979 [arrowhead = none ];
1979 -> 497;

1980 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
496 -> 1980 [arrowhead = none ];
1980 -> 498;

1981 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
497 -> 1981 [arrowhead = none ];
1981 -> 499;

1982 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
499 -> 1982 [arrowhead = none ];
1982 -> 500;

1983 [label="ONLY EVAL with clause\np(s(X1521), X1521).\nand substitutionX1521 -> 0,\nX1511 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
500 -> 1983 [arrowhead = none ];
1983 -> 501;

1984 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
501 -> 1984 [arrowhead = none ];
1984 -> 502;

1985 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
502 -> 1985 [arrowhead = none ];
1985 -> 503;

1986 [label="ONLY EVAL with clause\nquot(X1536, 0, X1537, X1538) :- ','(!_108, ','(eq(X1537, s(X1539)), ','(p(X1538, X1540), quot(X1536, X1537, X1537, X1540)))).\nand substitutionT471 -> T480,\nX1536 -> T480,\nX1537 -> s(s(s(s(0)))),\nT473 -> T482,\nX1538 -> T482,\nT481 -> T482", fontsize=14, style = filled, fillcolor = lightblue];
503 -> 1986 [arrowhead = none ];
1986 -> 504;

1987 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
504 -> 1987 [arrowhead = none ];
1987 -> 505;

1988 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
505 -> 1988 [arrowhead = none ];
1988 -> 506;

1989 [label="ONLY EVAL with clause\neq(X1551, X1551).\nand substitutionX1551 -> s(s(s(s(0)))),\nX1539 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
506 -> 1989 [arrowhead = none ];
1989 -> 507;

1990 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
507 -> 1990 [arrowhead = none ];
1990 -> 508;

1991 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
508 -> 1991 [arrowhead = none ];
1991 -> 509;

1992 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
508 -> 1992 [arrowhead = none ];
1992 -> 510;

1993 [label="EVAL with clause\np(0, 0).\nand substitutionT482 -> 0,\nX1540 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
509 -> 1993 [arrowhead = none ];
1993 -> 511;

1994 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
509 -> 1994 [arrowhead = none ];
1994 -> 512;

1995 [label="EVAL with clause\np(s(X1561), X1561).\nand substitutionX1561 -> T486,\nT482 -> s(T486),\nX1540 -> T486,\nT485 -> T486", fontsize=14, style = filled, fillcolor = lightblue];
510 -> 1995 [arrowhead = none ];
1995 -> 513;

1996 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
510 -> 1996 [arrowhead = none ];
1996 -> 514;

1997 [label="INSTANCE with matching:\nT378 -> T480", fontsize=14, style = filled, fillcolor = lightgrey];
511 -> 1997 [arrowhead = none , style=dashed];
1997 -> 379[style=dashed];

1998 [label="INSTANCE with matching:\nT378 -> T480\nT403 -> T486", fontsize=14, style = filled, fillcolor = lightgrey];
513 -> 1998 [arrowhead = none , style=dashed];
1998 -> 444[style=dashed];

1999 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
515 -> 1999 [arrowhead = none ];
1999 -> 517;

2000 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
517 -> 2000 [arrowhead = none ];
2000 -> 518;

2001 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
517 -> 2001 [arrowhead = none ];
2001 -> 519;

2002 [label="EVAL with clause\np(0, 0).\nand substitutionT495 -> 0,\nX1578 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
518 -> 2002 [arrowhead = none ];
2002 -> 520;

2003 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
518 -> 2003 [arrowhead = none ];
2003 -> 521;

2004 [label="EVAL with clause\np(s(X1588), X1588).\nand substitutionX1588 -> T502,\nT495 -> s(T502),\nX1578 -> T502", fontsize=14, style = filled, fillcolor = lightblue];
519 -> 2004 [arrowhead = none ];
2004 -> 522;

2005 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
519 -> 2005 [arrowhead = none ];
2005 -> 523;

2006 [label="INSTANCE with matching:\nT471 -> T494\nT473 -> T497", fontsize=14, style = filled, fillcolor = lightgrey];
520 -> 2006 [arrowhead = none , style=dashed];
2006 -> 501[style=dashed];

2007 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
522 -> 2007 [arrowhead = none ];
2007 -> 524;

2008 [label="EVAL with clause\nquot(0, s(X1598), s(X1599), X1600) :- ','(!_112, eq(X1600, 0)).\nand substitutionT494 -> 0,\nX1598 -> T509,\nT502 -> s(T509),\nX1599 -> s(s(s(s(s(T509))))),\nT497 -> T511,\nX1600 -> T511,\nT510 -> T511", fontsize=14, style = filled, fillcolor = lightblue];
524 -> 2008 [arrowhead = none ];
2008 -> 525;

2009 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
524 -> 2009 [arrowhead = none ];
2009 -> 526;

2010 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
525 -> 2010 [arrowhead = none ];
2010 -> 527;

2011 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
526 -> 2011 [arrowhead = none ];
2011 -> 532;

2012 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
526 -> 2012 [arrowhead = none ];
2012 -> 533;

2013 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
527 -> 2013 [arrowhead = none ];
2013 -> 528;

2014 [label="EVAL with clause\neq(X1603, X1603).\nand substitutionT511 -> 0,\nX1603 -> 0,\nT514 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
528 -> 2014 [arrowhead = none ];
2014 -> 529;

2015 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
528 -> 2015 [arrowhead = none ];
2015 -> 530;

2016 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
529 -> 2016 [arrowhead = none ];
2016 -> 531;

2017 [label="EVAL with clause\nquot(X1620, 0, X1621, X1622) :- ','(!_112, ','(eq(X1621, s(X1623)), ','(p(X1622, X1624), quot(X1620, X1621, X1621, X1624)))).\nand substitutionT494 -> T523,\nX1620 -> T523,\nT502 -> 0,\nX1621 -> s(s(s(s(s(0))))),\nT497 -> T525,\nX1622 -> T525,\nT524 -> T525", fontsize=14, style = filled, fillcolor = lightblue];
532 -> 2017 [arrowhead = none ];
2017 -> 534;

2018 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
532 -> 2018 [arrowhead = none ];
2018 -> 535;

2019 [label="EVAL with clause\nquot(s(X2159), X2160, X2161, X2162) :- ','(p(X2160, X2163), quot(X2159, X2163, X2161, X2162)).\nand substitutionX2159 -> T661,\nT494 -> s(T661),\nT502 -> T662,\nX2160 -> T662,\nX2161 -> s(s(s(s(s(T662))))),\nT497 -> T664,\nX2162 -> T664,\nT663 -> T664", fontsize=14, style = filled, fillcolor = lightblue];
533 -> 2019 [arrowhead = none ];
2019 -> 705;

2020 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
533 -> 2020 [arrowhead = none ];
2020 -> 706;

2021 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
534 -> 2021 [arrowhead = none ];
2021 -> 536;

2022 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
536 -> 2022 [arrowhead = none ];
2022 -> 537;

2023 [label="ONLY EVAL with clause\neq(X1635, X1635).\nand substitutionX1635 -> s(s(s(s(s(0))))),\nX1623 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
537 -> 2023 [arrowhead = none ];
2023 -> 538;

2024 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
538 -> 2024 [arrowhead = none ];
2024 -> 539;

2025 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
539 -> 2025 [arrowhead = none ];
2025 -> 540;

2026 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
539 -> 2026 [arrowhead = none ];
2026 -> 541;

2027 [label="EVAL with clause\np(0, 0).\nand substitutionT525 -> 0,\nX1624 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
540 -> 2027 [arrowhead = none ];
2027 -> 542;

2028 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
540 -> 2028 [arrowhead = none ];
2028 -> 543;

2029 [label="EVAL with clause\np(s(X1896), X1896).\nand substitutionX1896 -> T552,\nT525 -> s(T552),\nX1624 -> T552,\nT551 -> T552", fontsize=14, style = filled, fillcolor = lightblue];
541 -> 2029 [arrowhead = none ];
2029 -> 620;

2030 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
541 -> 2030 [arrowhead = none ];
2030 -> 621;

2031 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
542 -> 2031 [arrowhead = none ];
2031 -> 544;

2032 [label="EVAL with clause\nquot(0, s(X1649), s(X1650), X1651) :- ','(!_116, eq(X1651, 0)).\nand substitutionT523 -> 0,\nX1649 -> s(s(s(s(0)))),\nX1650 -> s(s(s(s(0)))),\nX1651 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
544 -> 2032 [arrowhead = none ];
2032 -> 545;

2033 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
544 -> 2033 [arrowhead = none ];
2033 -> 546;

2034 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
545 -> 2034 [arrowhead = none ];
2034 -> 547;

2035 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
546 -> 2035 [arrowhead = none ];
2035 -> 551;

2036 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
547 -> 2036 [arrowhead = none ];
2036 -> 548;

2037 [label="ONLY EVAL with clause\neq(X1654, X1654).\nand substitutionX1654 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
548 -> 2037 [arrowhead = none ];
2037 -> 549;

2038 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
549 -> 2038 [arrowhead = none ];
2038 -> 550;

2039 [label="EVAL with clause\nquot(s(X1667), X1668, X1669, X1670) :- ','(p(X1668, X1671), quot(X1667, X1671, X1669, X1670)).\nand substitutionX1667 -> T529,\nT523 -> s(T529),\nX1668 -> s(s(s(s(s(0))))),\nX1669 -> s(s(s(s(s(0))))),\nX1670 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
551 -> 2039 [arrowhead = none ];
2039 -> 552;

2040 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
551 -> 2040 [arrowhead = none ];
2040 -> 553;

2041 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
552 -> 2041 [arrowhead = none ];
2041 -> 554;

2042 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
554 -> 2042 [arrowhead = none ];
2042 -> 555;

2043 [label="ONLY EVAL with clause\np(s(X1681), X1681).\nand substitutionX1681 -> s(s(s(s(0)))),\nX1671 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
555 -> 2043 [arrowhead = none ];
2043 -> 556;

2044 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
556 -> 2044 [arrowhead = none ];
2044 -> 557;

2045 [label="EVAL with clause\nquot(0, s(X1691), s(X1692), X1693) :- ','(!_119, eq(X1693, 0)).\nand substitutionT529 -> 0,\nX1691 -> s(s(s(0))),\nX1692 -> s(s(s(s(0)))),\nX1693 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
557 -> 2045 [arrowhead = none ];
2045 -> 558;

2046 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
557 -> 2046 [arrowhead = none ];
2046 -> 559;

2047 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
558 -> 2047 [arrowhead = none ];
2047 -> 560;

2048 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
559 -> 2048 [arrowhead = none ];
2048 -> 564;

2049 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
560 -> 2049 [arrowhead = none ];
2049 -> 561;

2050 [label="ONLY EVAL with clause\neq(X1696, X1696).\nand substitutionX1696 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
561 -> 2050 [arrowhead = none ];
2050 -> 562;

2051 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
562 -> 2051 [arrowhead = none ];
2051 -> 563;

2052 [label="EVAL with clause\nquot(s(X1709), X1710, X1711, X1712) :- ','(p(X1710, X1713), quot(X1709, X1713, X1711, X1712)).\nand substitutionX1709 -> T533,\nT529 -> s(T533),\nX1710 -> s(s(s(s(0)))),\nX1711 -> s(s(s(s(s(0))))),\nX1712 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
564 -> 2052 [arrowhead = none ];
2052 -> 565;

2053 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
564 -> 2053 [arrowhead = none ];
2053 -> 566;

2054 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
565 -> 2054 [arrowhead = none ];
2054 -> 567;

2055 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
567 -> 2055 [arrowhead = none ];
2055 -> 568;

2056 [label="ONLY EVAL with clause\np(s(X1723), X1723).\nand substitutionX1723 -> s(s(s(0))),\nX1713 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
568 -> 2056 [arrowhead = none ];
2056 -> 569;

2057 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
569 -> 2057 [arrowhead = none ];
2057 -> 570;

2058 [label="EVAL with clause\nquot(0, s(X1733), s(X1734), X1735) :- ','(!_122, eq(X1735, 0)).\nand substitutionT533 -> 0,\nX1733 -> s(s(0)),\nX1734 -> s(s(s(s(0)))),\nX1735 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
570 -> 2058 [arrowhead = none ];
2058 -> 571;

2059 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
570 -> 2059 [arrowhead = none ];
2059 -> 572;

2060 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
571 -> 2060 [arrowhead = none ];
2060 -> 573;

2061 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
572 -> 2061 [arrowhead = none ];
2061 -> 577;

2062 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
573 -> 2062 [arrowhead = none ];
2062 -> 574;

2063 [label="ONLY EVAL with clause\neq(X1738, X1738).\nand substitutionX1738 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
574 -> 2063 [arrowhead = none ];
2063 -> 575;

2064 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
575 -> 2064 [arrowhead = none ];
2064 -> 576;

2065 [label="EVAL with clause\nquot(s(X1751), X1752, X1753, X1754) :- ','(p(X1752, X1755), quot(X1751, X1755, X1753, X1754)).\nand substitutionX1751 -> T537,\nT533 -> s(T537),\nX1752 -> s(s(s(0))),\nX1753 -> s(s(s(s(s(0))))),\nX1754 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
577 -> 2065 [arrowhead = none ];
2065 -> 578;

2066 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
577 -> 2066 [arrowhead = none ];
2066 -> 579;

2067 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
578 -> 2067 [arrowhead = none ];
2067 -> 580;

2068 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
580 -> 2068 [arrowhead = none ];
2068 -> 581;

2069 [label="ONLY EVAL with clause\np(s(X1765), X1765).\nand substitutionX1765 -> s(s(0)),\nX1755 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
581 -> 2069 [arrowhead = none ];
2069 -> 582;

2070 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
582 -> 2070 [arrowhead = none ];
2070 -> 583;

2071 [label="EVAL with clause\nquot(0, s(X1775), s(X1776), X1777) :- ','(!_125, eq(X1777, 0)).\nand substitutionT537 -> 0,\nX1775 -> s(0),\nX1776 -> s(s(s(s(0)))),\nX1777 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
583 -> 2071 [arrowhead = none ];
2071 -> 584;

2072 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
583 -> 2072 [arrowhead = none ];
2072 -> 585;

2073 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
584 -> 2073 [arrowhead = none ];
2073 -> 586;

2074 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
585 -> 2074 [arrowhead = none ];
2074 -> 590;

2075 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
586 -> 2075 [arrowhead = none ];
2075 -> 587;

2076 [label="ONLY EVAL with clause\neq(X1780, X1780).\nand substitutionX1780 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
587 -> 2076 [arrowhead = none ];
2076 -> 588;

2077 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
588 -> 2077 [arrowhead = none ];
2077 -> 589;

2078 [label="EVAL with clause\nquot(s(X1793), X1794, X1795, X1796) :- ','(p(X1794, X1797), quot(X1793, X1797, X1795, X1796)).\nand substitutionX1793 -> T541,\nT537 -> s(T541),\nX1794 -> s(s(0)),\nX1795 -> s(s(s(s(s(0))))),\nX1796 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
590 -> 2078 [arrowhead = none ];
2078 -> 591;

2079 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
590 -> 2079 [arrowhead = none ];
2079 -> 592;

2080 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
591 -> 2080 [arrowhead = none ];
2080 -> 593;

2081 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
593 -> 2081 [arrowhead = none ];
2081 -> 594;

2082 [label="ONLY EVAL with clause\np(s(X1807), X1807).\nand substitutionX1807 -> s(0),\nX1797 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
594 -> 2082 [arrowhead = none ];
2082 -> 595;

2083 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
595 -> 2083 [arrowhead = none ];
2083 -> 596;

2084 [label="EVAL with clause\nquot(0, s(X1817), s(X1818), X1819) :- ','(!_128, eq(X1819, 0)).\nand substitutionT541 -> 0,\nX1817 -> 0,\nX1818 -> s(s(s(s(0)))),\nX1819 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
596 -> 2084 [arrowhead = none ];
2084 -> 597;

2085 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
596 -> 2085 [arrowhead = none ];
2085 -> 598;

2086 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
597 -> 2086 [arrowhead = none ];
2086 -> 599;

2087 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
598 -> 2087 [arrowhead = none ];
2087 -> 603;

2088 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
599 -> 2088 [arrowhead = none ];
2088 -> 600;

2089 [label="ONLY EVAL with clause\neq(X1822, X1822).\nand substitutionX1822 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
600 -> 2089 [arrowhead = none ];
2089 -> 601;

2090 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
601 -> 2090 [arrowhead = none ];
2090 -> 602;

2091 [label="EVAL with clause\nquot(s(X1835), X1836, X1837, X1838) :- ','(p(X1836, X1839), quot(X1835, X1839, X1837, X1838)).\nand substitutionX1835 -> T545,\nT541 -> s(T545),\nX1836 -> s(0),\nX1837 -> s(s(s(s(s(0))))),\nX1838 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
603 -> 2091 [arrowhead = none ];
2091 -> 604;

2092 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
603 -> 2092 [arrowhead = none ];
2092 -> 605;

2093 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
604 -> 2093 [arrowhead = none ];
2093 -> 606;

2094 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
606 -> 2094 [arrowhead = none ];
2094 -> 607;

2095 [label="ONLY EVAL with clause\np(s(X1849), X1849).\nand substitutionX1849 -> 0,\nX1839 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
607 -> 2095 [arrowhead = none ];
2095 -> 608;

2096 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
608 -> 2096 [arrowhead = none ];
2096 -> 609;

2097 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
609 -> 2097 [arrowhead = none ];
2097 -> 610;

2098 [label="ONLY EVAL with clause\nquot(X1864, 0, X1865, X1866) :- ','(!_131, ','(eq(X1865, s(X1867)), ','(p(X1866, X1868), quot(X1864, X1865, X1865, X1868)))).\nand substitutionT545 -> T548,\nX1864 -> T548,\nX1865 -> s(s(s(s(s(0))))),\nX1866 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
610 -> 2098 [arrowhead = none ];
2098 -> 611;

2099 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
611 -> 2099 [arrowhead = none ];
2099 -> 612;

2100 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
612 -> 2100 [arrowhead = none ];
2100 -> 613;

2101 [label="ONLY EVAL with clause\neq(X1879, X1879).\nand substitutionX1879 -> s(s(s(s(s(0))))),\nX1867 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
613 -> 2101 [arrowhead = none ];
2101 -> 614;

2102 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
614 -> 2102 [arrowhead = none ];
2102 -> 615;

2103 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
615 -> 2103 [arrowhead = none ];
2103 -> 616;

2104 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
615 -> 2104 [arrowhead = none ];
2104 -> 617;

2105 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX1868 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
616 -> 2105 [arrowhead = none ];
2105 -> 618;

2106 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
617 -> 2106 [arrowhead = none ];
2106 -> 619;

2107 [label="INSTANCE with matching:\nT523 -> T548", fontsize=14, style = filled, fillcolor = lightgrey];
618 -> 2107 [arrowhead = none , style=dashed];
2107 -> 542[style=dashed];

2108 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
620 -> 2108 [arrowhead = none ];
2108 -> 622;

2109 [label="EVAL with clause\nquot(0, s(X1906), s(X1907), X1908) :- ','(!_134, eq(X1908, 0)).\nand substitutionT523 -> 0,\nX1906 -> s(s(s(s(0)))),\nX1907 -> s(s(s(s(0)))),\nT552 -> T557,\nX1908 -> T557,\nT556 -> T557", fontsize=14, style = filled, fillcolor = lightblue];
622 -> 2109 [arrowhead = none ];
2109 -> 623;

2110 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
622 -> 2110 [arrowhead = none ];
2110 -> 624;

2111 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
623 -> 2111 [arrowhead = none ];
2111 -> 625;

2112 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
624 -> 2112 [arrowhead = none ];
2112 -> 630;

2113 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
625 -> 2113 [arrowhead = none ];
2113 -> 626;

2114 [label="EVAL with clause\neq(X1911, X1911).\nand substitutionT557 -> 0,\nX1911 -> 0,\nT560 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
626 -> 2114 [arrowhead = none ];
2114 -> 627;

2115 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
626 -> 2115 [arrowhead = none ];
2115 -> 628;

2116 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
627 -> 2116 [arrowhead = none ];
2116 -> 629;

2117 [label="EVAL with clause\nquot(s(X1924), X1925, X1926, X1927) :- ','(p(X1925, X1928), quot(X1924, X1928, X1926, X1927)).\nand substitutionX1924 -> T566,\nT523 -> s(T566),\nX1925 -> s(s(s(s(s(0))))),\nX1926 -> s(s(s(s(s(0))))),\nT552 -> T568,\nX1927 -> T568,\nT567 -> T568", fontsize=14, style = filled, fillcolor = lightblue];
630 -> 2117 [arrowhead = none ];
2117 -> 631;

2118 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
630 -> 2118 [arrowhead = none ];
2118 -> 632;

2119 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
631 -> 2119 [arrowhead = none ];
2119 -> 633;

2120 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
633 -> 2120 [arrowhead = none ];
2120 -> 634;

2121 [label="ONLY EVAL with clause\np(s(X1938), X1938).\nand substitutionX1938 -> s(s(s(s(0)))),\nX1928 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
634 -> 2121 [arrowhead = none ];
2121 -> 635;

2122 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
635 -> 2122 [arrowhead = none ];
2122 -> 636;

2123 [label="EVAL with clause\nquot(0, s(X1948), s(X1949), X1950) :- ','(!_137, eq(X1950, 0)).\nand substitutionT566 -> 0,\nX1948 -> s(s(s(0))),\nX1949 -> s(s(s(s(0)))),\nT568 -> T575,\nX1950 -> T575,\nT574 -> T575", fontsize=14, style = filled, fillcolor = lightblue];
636 -> 2123 [arrowhead = none ];
2123 -> 637;

2124 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
636 -> 2124 [arrowhead = none ];
2124 -> 638;

2125 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
637 -> 2125 [arrowhead = none ];
2125 -> 639;

2126 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
638 -> 2126 [arrowhead = none ];
2126 -> 644;

2127 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
639 -> 2127 [arrowhead = none ];
2127 -> 640;

2128 [label="EVAL with clause\neq(X1953, X1953).\nand substitutionT575 -> 0,\nX1953 -> 0,\nT578 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
640 -> 2128 [arrowhead = none ];
2128 -> 641;

2129 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
640 -> 2129 [arrowhead = none ];
2129 -> 642;

2130 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
641 -> 2130 [arrowhead = none ];
2130 -> 643;

2131 [label="EVAL with clause\nquot(s(X1966), X1967, X1968, X1969) :- ','(p(X1967, X1970), quot(X1966, X1970, X1968, X1969)).\nand substitutionX1966 -> T584,\nT566 -> s(T584),\nX1967 -> s(s(s(s(0)))),\nX1968 -> s(s(s(s(s(0))))),\nT568 -> T586,\nX1969 -> T586,\nT585 -> T586", fontsize=14, style = filled, fillcolor = lightblue];
644 -> 2131 [arrowhead = none ];
2131 -> 645;

2132 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
644 -> 2132 [arrowhead = none ];
2132 -> 646;

2133 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
645 -> 2133 [arrowhead = none ];
2133 -> 647;

2134 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
647 -> 2134 [arrowhead = none ];
2134 -> 648;

2135 [label="ONLY EVAL with clause\np(s(X1980), X1980).\nand substitutionX1980 -> s(s(s(0))),\nX1970 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
648 -> 2135 [arrowhead = none ];
2135 -> 649;

2136 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
649 -> 2136 [arrowhead = none ];
2136 -> 650;

2137 [label="EVAL with clause\nquot(0, s(X1990), s(X1991), X1992) :- ','(!_140, eq(X1992, 0)).\nand substitutionT584 -> 0,\nX1990 -> s(s(0)),\nX1991 -> s(s(s(s(0)))),\nT586 -> T593,\nX1992 -> T593,\nT592 -> T593", fontsize=14, style = filled, fillcolor = lightblue];
650 -> 2137 [arrowhead = none ];
2137 -> 651;

2138 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
650 -> 2138 [arrowhead = none ];
2138 -> 652;

2139 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
651 -> 2139 [arrowhead = none ];
2139 -> 653;

2140 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
652 -> 2140 [arrowhead = none ];
2140 -> 658;

2141 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
653 -> 2141 [arrowhead = none ];
2141 -> 654;

2142 [label="EVAL with clause\neq(X1995, X1995).\nand substitutionT593 -> 0,\nX1995 -> 0,\nT596 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
654 -> 2142 [arrowhead = none ];
2142 -> 655;

2143 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
654 -> 2143 [arrowhead = none ];
2143 -> 656;

2144 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
655 -> 2144 [arrowhead = none ];
2144 -> 657;

2145 [label="EVAL with clause\nquot(s(X2008), X2009, X2010, X2011) :- ','(p(X2009, X2012), quot(X2008, X2012, X2010, X2011)).\nand substitutionX2008 -> T602,\nT584 -> s(T602),\nX2009 -> s(s(s(0))),\nX2010 -> s(s(s(s(s(0))))),\nT586 -> T604,\nX2011 -> T604,\nT603 -> T604", fontsize=14, style = filled, fillcolor = lightblue];
658 -> 2145 [arrowhead = none ];
2145 -> 659;

2146 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
658 -> 2146 [arrowhead = none ];
2146 -> 660;

2147 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
659 -> 2147 [arrowhead = none ];
2147 -> 661;

2148 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
661 -> 2148 [arrowhead = none ];
2148 -> 662;

2149 [label="ONLY EVAL with clause\np(s(X2022), X2022).\nand substitutionX2022 -> s(s(0)),\nX2012 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
662 -> 2149 [arrowhead = none ];
2149 -> 663;

2150 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
663 -> 2150 [arrowhead = none ];
2150 -> 664;

2151 [label="EVAL with clause\nquot(0, s(X2032), s(X2033), X2034) :- ','(!_143, eq(X2034, 0)).\nand substitutionT602 -> 0,\nX2032 -> s(0),\nX2033 -> s(s(s(s(0)))),\nT604 -> T611,\nX2034 -> T611,\nT610 -> T611", fontsize=14, style = filled, fillcolor = lightblue];
664 -> 2151 [arrowhead = none ];
2151 -> 665;

2152 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
664 -> 2152 [arrowhead = none ];
2152 -> 666;

2153 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
665 -> 2153 [arrowhead = none ];
2153 -> 667;

2154 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
666 -> 2154 [arrowhead = none ];
2154 -> 672;

2155 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
667 -> 2155 [arrowhead = none ];
2155 -> 668;

2156 [label="EVAL with clause\neq(X2037, X2037).\nand substitutionT611 -> 0,\nX2037 -> 0,\nT614 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
668 -> 2156 [arrowhead = none ];
2156 -> 669;

2157 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
668 -> 2157 [arrowhead = none ];
2157 -> 670;

2158 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
669 -> 2158 [arrowhead = none ];
2158 -> 671;

2159 [label="EVAL with clause\nquot(s(X2050), X2051, X2052, X2053) :- ','(p(X2051, X2054), quot(X2050, X2054, X2052, X2053)).\nand substitutionX2050 -> T620,\nT602 -> s(T620),\nX2051 -> s(s(0)),\nX2052 -> s(s(s(s(s(0))))),\nT604 -> T622,\nX2053 -> T622,\nT621 -> T622", fontsize=14, style = filled, fillcolor = lightblue];
672 -> 2159 [arrowhead = none ];
2159 -> 673;

2160 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
672 -> 2160 [arrowhead = none ];
2160 -> 674;

2161 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
673 -> 2161 [arrowhead = none ];
2161 -> 675;

2162 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
675 -> 2162 [arrowhead = none ];
2162 -> 676;

2163 [label="ONLY EVAL with clause\np(s(X2064), X2064).\nand substitutionX2064 -> s(0),\nX2054 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
676 -> 2163 [arrowhead = none ];
2163 -> 677;

2164 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
677 -> 2164 [arrowhead = none ];
2164 -> 678;

2165 [label="EVAL with clause\nquot(0, s(X2074), s(X2075), X2076) :- ','(!_146, eq(X2076, 0)).\nand substitutionT620 -> 0,\nX2074 -> 0,\nX2075 -> s(s(s(s(0)))),\nT622 -> T629,\nX2076 -> T629,\nT628 -> T629", fontsize=14, style = filled, fillcolor = lightblue];
678 -> 2165 [arrowhead = none ];
2165 -> 679;

2166 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
678 -> 2166 [arrowhead = none ];
2166 -> 680;

2167 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
679 -> 2167 [arrowhead = none ];
2167 -> 681;

2168 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
680 -> 2168 [arrowhead = none ];
2168 -> 686;

2169 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
681 -> 2169 [arrowhead = none ];
2169 -> 682;

2170 [label="EVAL with clause\neq(X2079, X2079).\nand substitutionT629 -> 0,\nX2079 -> 0,\nT632 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
682 -> 2170 [arrowhead = none ];
2170 -> 683;

2171 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
682 -> 2171 [arrowhead = none ];
2171 -> 684;

2172 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
683 -> 2172 [arrowhead = none ];
2172 -> 685;

2173 [label="EVAL with clause\nquot(s(X2092), X2093, X2094, X2095) :- ','(p(X2093, X2096), quot(X2092, X2096, X2094, X2095)).\nand substitutionX2092 -> T638,\nT620 -> s(T638),\nX2093 -> s(0),\nX2094 -> s(s(s(s(s(0))))),\nT622 -> T640,\nX2095 -> T640,\nT639 -> T640", fontsize=14, style = filled, fillcolor = lightblue];
686 -> 2173 [arrowhead = none ];
2173 -> 687;

2174 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
686 -> 2174 [arrowhead = none ];
2174 -> 688;

2175 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
687 -> 2175 [arrowhead = none ];
2175 -> 689;

2176 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
689 -> 2176 [arrowhead = none ];
2176 -> 690;

2177 [label="ONLY EVAL with clause\np(s(X2106), X2106).\nand substitutionX2106 -> 0,\nX2096 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
690 -> 2177 [arrowhead = none ];
2177 -> 691;

2178 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
691 -> 2178 [arrowhead = none ];
2178 -> 692;

2179 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
692 -> 2179 [arrowhead = none ];
2179 -> 693;

2180 [label="ONLY EVAL with clause\nquot(X2121, 0, X2122, X2123) :- ','(!_149, ','(eq(X2122, s(X2124)), ','(p(X2123, X2125), quot(X2121, X2122, X2122, X2125)))).\nand substitutionT638 -> T647,\nX2121 -> T647,\nX2122 -> s(s(s(s(s(0))))),\nT640 -> T649,\nX2123 -> T649,\nT648 -> T649", fontsize=14, style = filled, fillcolor = lightblue];
693 -> 2180 [arrowhead = none ];
2180 -> 694;

2181 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
694 -> 2181 [arrowhead = none ];
2181 -> 695;

2182 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
695 -> 2182 [arrowhead = none ];
2182 -> 696;

2183 [label="ONLY EVAL with clause\neq(X2136, X2136).\nand substitutionX2136 -> s(s(s(s(s(0))))),\nX2124 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
696 -> 2183 [arrowhead = none ];
2183 -> 697;

2184 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
697 -> 2184 [arrowhead = none ];
2184 -> 698;

2185 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
698 -> 2185 [arrowhead = none ];
2185 -> 699;

2186 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
698 -> 2186 [arrowhead = none ];
2186 -> 700;

2187 [label="EVAL with clause\np(0, 0).\nand substitutionT649 -> 0,\nX2125 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
699 -> 2187 [arrowhead = none ];
2187 -> 701;

2188 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
699 -> 2188 [arrowhead = none ];
2188 -> 702;

2189 [label="EVAL with clause\np(s(X2146), X2146).\nand substitutionX2146 -> T653,\nT649 -> s(T653),\nX2125 -> T653,\nT652 -> T653", fontsize=14, style = filled, fillcolor = lightblue];
700 -> 2189 [arrowhead = none ];
2189 -> 703;

2190 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
700 -> 2190 [arrowhead = none ];
2190 -> 704;

2191 [label="INSTANCE with matching:\nT523 -> T647", fontsize=14, style = filled, fillcolor = lightgrey];
701 -> 2191 [arrowhead = none , style=dashed];
2191 -> 542[style=dashed];

2192 [label="INSTANCE with matching:\nT523 -> T647\nT552 -> T653", fontsize=14, style = filled, fillcolor = lightgrey];
703 -> 2192 [arrowhead = none , style=dashed];
2192 -> 620[style=dashed];

2193 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
705 -> 2193 [arrowhead = none ];
2193 -> 707;

2194 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
707 -> 2194 [arrowhead = none ];
2194 -> 708;

2195 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
707 -> 2195 [arrowhead = none ];
2195 -> 709;

2196 [label="EVAL with clause\np(0, 0).\nand substitutionT662 -> 0,\nX2163 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
708 -> 2196 [arrowhead = none ];
2196 -> 710;

2197 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
708 -> 2197 [arrowhead = none ];
2197 -> 711;

2198 [label="EVAL with clause\np(s(X2173), X2173).\nand substitutionX2173 -> T669,\nT662 -> s(T669),\nX2163 -> T669", fontsize=14, style = filled, fillcolor = lightblue];
709 -> 2198 [arrowhead = none ];
2198 -> 712;

2199 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
709 -> 2199 [arrowhead = none ];
2199 -> 713;

2200 [label="INSTANCE with matching:\nT638 -> T661\nT640 -> T664", fontsize=14, style = filled, fillcolor = lightgrey];
710 -> 2200 [arrowhead = none , style=dashed];
2200 -> 691[style=dashed];

2201 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
712 -> 2201 [arrowhead = none ];
2201 -> 714;

2202 [label="EVAL with clause\nquot(0, s(X2183), s(X2184), X2185) :- ','(!_153, eq(X2185, 0)).\nand substitutionT661 -> 0,\nX2183 -> T676,\nT669 -> s(T676),\nX2184 -> s(s(s(s(s(s(T676)))))),\nT664 -> T678,\nX2185 -> T678,\nT677 -> T678", fontsize=14, style = filled, fillcolor = lightblue];
714 -> 2202 [arrowhead = none ];
2202 -> 715;

2203 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
714 -> 2203 [arrowhead = none ];
2203 -> 716;

2204 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
715 -> 2204 [arrowhead = none ];
2204 -> 717;

2205 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
716 -> 2205 [arrowhead = none ];
2205 -> 722;

2206 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
716 -> 2206 [arrowhead = none ];
2206 -> 723;

2207 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
717 -> 2207 [arrowhead = none ];
2207 -> 718;

2208 [label="EVAL with clause\neq(X2188, X2188).\nand substitutionT678 -> 0,\nX2188 -> 0,\nT681 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
718 -> 2208 [arrowhead = none ];
2208 -> 719;

2209 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
718 -> 2209 [arrowhead = none ];
2209 -> 720;

2210 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
719 -> 2210 [arrowhead = none ];
2210 -> 721;

2211 [label="EVAL with clause\nquot(X2205, 0, X2206, X2207) :- ','(!_153, ','(eq(X2206, s(X2208)), ','(p(X2207, X2209), quot(X2205, X2206, X2206, X2209)))).\nand substitutionT661 -> T690,\nX2205 -> T690,\nT669 -> 0,\nX2206 -> s(s(s(s(s(s(0)))))),\nT664 -> T692,\nX2207 -> T692,\nT691 -> T692", fontsize=14, style = filled, fillcolor = lightblue];
722 -> 2211 [arrowhead = none ];
2211 -> 724;

2212 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
722 -> 2212 [arrowhead = none ];
2212 -> 725;

2213 [label="EVAL with clause\nquot(s(X2828), X2829, X2830, X2831) :- ','(p(X2829, X2832), quot(X2828, X2832, X2830, X2831)).\nand substitutionX2828 -> T850,\nT661 -> s(T850),\nT669 -> T851,\nX2829 -> T851,\nX2830 -> s(s(s(s(s(s(T851)))))),\nT664 -> T853,\nX2831 -> T853,\nT852 -> T853", fontsize=14, style = filled, fillcolor = lightblue];
723 -> 2213 [arrowhead = none ];
2213 -> 922;

2214 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
723 -> 2214 [arrowhead = none ];
2214 -> 923;

2215 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
724 -> 2215 [arrowhead = none ];
2215 -> 726;

2216 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
726 -> 2216 [arrowhead = none ];
2216 -> 727;

2217 [label="ONLY EVAL with clause\neq(X2220, X2220).\nand substitutionX2220 -> s(s(s(s(s(s(0)))))),\nX2208 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
727 -> 2217 [arrowhead = none ];
2217 -> 728;

2218 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
728 -> 2218 [arrowhead = none ];
2218 -> 729;

2219 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
729 -> 2219 [arrowhead = none ];
2219 -> 730;

2220 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
729 -> 2220 [arrowhead = none ];
2220 -> 731;

2221 [label="EVAL with clause\np(0, 0).\nand substitutionT692 -> 0,\nX2209 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
730 -> 2221 [arrowhead = none ];
2221 -> 732;

2222 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
730 -> 2222 [arrowhead = none ];
2222 -> 733;

2223 [label="EVAL with clause\np(s(X2523), X2523).\nand substitutionX2523 -> T723,\nT692 -> s(T723),\nX2209 -> T723,\nT722 -> T723", fontsize=14, style = filled, fillcolor = lightblue];
731 -> 2223 [arrowhead = none ];
2223 -> 823;

2224 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
731 -> 2224 [arrowhead = none ];
2224 -> 824;

2225 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
732 -> 2225 [arrowhead = none ];
2225 -> 734;

2226 [label="EVAL with clause\nquot(0, s(X2234), s(X2235), X2236) :- ','(!_157, eq(X2236, 0)).\nand substitutionT690 -> 0,\nX2234 -> s(s(s(s(s(0))))),\nX2235 -> s(s(s(s(s(0))))),\nX2236 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
734 -> 2226 [arrowhead = none ];
2226 -> 735;

2227 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
734 -> 2227 [arrowhead = none ];
2227 -> 736;

2228 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
735 -> 2228 [arrowhead = none ];
2228 -> 737;

2229 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
736 -> 2229 [arrowhead = none ];
2229 -> 741;

2230 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
737 -> 2230 [arrowhead = none ];
2230 -> 738;

2231 [label="ONLY EVAL with clause\neq(X2239, X2239).\nand substitutionX2239 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
738 -> 2231 [arrowhead = none ];
2231 -> 739;

2232 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
739 -> 2232 [arrowhead = none ];
2232 -> 740;

2233 [label="EVAL with clause\nquot(s(X2252), X2253, X2254, X2255) :- ','(p(X2253, X2256), quot(X2252, X2256, X2254, X2255)).\nand substitutionX2252 -> T696,\nT690 -> s(T696),\nX2253 -> s(s(s(s(s(s(0)))))),\nX2254 -> s(s(s(s(s(s(0)))))),\nX2255 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
741 -> 2233 [arrowhead = none ];
2233 -> 742;

2234 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
741 -> 2234 [arrowhead = none ];
2234 -> 743;

2235 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
742 -> 2235 [arrowhead = none ];
2235 -> 744;

2236 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
744 -> 2236 [arrowhead = none ];
2236 -> 745;

2237 [label="ONLY EVAL with clause\np(s(X2266), X2266).\nand substitutionX2266 -> s(s(s(s(s(0))))),\nX2256 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
745 -> 2237 [arrowhead = none ];
2237 -> 746;

2238 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
746 -> 2238 [arrowhead = none ];
2238 -> 747;

2239 [label="EVAL with clause\nquot(0, s(X2276), s(X2277), X2278) :- ','(!_160, eq(X2278, 0)).\nand substitutionT696 -> 0,\nX2276 -> s(s(s(s(0)))),\nX2277 -> s(s(s(s(s(0))))),\nX2278 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
747 -> 2239 [arrowhead = none ];
2239 -> 748;

2240 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
747 -> 2240 [arrowhead = none ];
2240 -> 749;

2241 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
748 -> 2241 [arrowhead = none ];
2241 -> 750;

2242 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
749 -> 2242 [arrowhead = none ];
2242 -> 754;

2243 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
750 -> 2243 [arrowhead = none ];
2243 -> 751;

2244 [label="ONLY EVAL with clause\neq(X2281, X2281).\nand substitutionX2281 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
751 -> 2244 [arrowhead = none ];
2244 -> 752;

2245 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
752 -> 2245 [arrowhead = none ];
2245 -> 753;

2246 [label="EVAL with clause\nquot(s(X2294), X2295, X2296, X2297) :- ','(p(X2295, X2298), quot(X2294, X2298, X2296, X2297)).\nand substitutionX2294 -> T700,\nT696 -> s(T700),\nX2295 -> s(s(s(s(s(0))))),\nX2296 -> s(s(s(s(s(s(0)))))),\nX2297 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
754 -> 2246 [arrowhead = none ];
2246 -> 755;

2247 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
754 -> 2247 [arrowhead = none ];
2247 -> 756;

2248 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
755 -> 2248 [arrowhead = none ];
2248 -> 757;

2249 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
757 -> 2249 [arrowhead = none ];
2249 -> 758;

2250 [label="ONLY EVAL with clause\np(s(X2308), X2308).\nand substitutionX2308 -> s(s(s(s(0)))),\nX2298 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
758 -> 2250 [arrowhead = none ];
2250 -> 759;

2251 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
759 -> 2251 [arrowhead = none ];
2251 -> 760;

2252 [label="EVAL with clause\nquot(0, s(X2318), s(X2319), X2320) :- ','(!_163, eq(X2320, 0)).\nand substitutionT700 -> 0,\nX2318 -> s(s(s(0))),\nX2319 -> s(s(s(s(s(0))))),\nX2320 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
760 -> 2252 [arrowhead = none ];
2252 -> 761;

2253 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
760 -> 2253 [arrowhead = none ];
2253 -> 762;

2254 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
761 -> 2254 [arrowhead = none ];
2254 -> 763;

2255 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
762 -> 2255 [arrowhead = none ];
2255 -> 767;

2256 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
763 -> 2256 [arrowhead = none ];
2256 -> 764;

2257 [label="ONLY EVAL with clause\neq(X2323, X2323).\nand substitutionX2323 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
764 -> 2257 [arrowhead = none ];
2257 -> 765;

2258 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
765 -> 2258 [arrowhead = none ];
2258 -> 766;

2259 [label="EVAL with clause\nquot(s(X2336), X2337, X2338, X2339) :- ','(p(X2337, X2340), quot(X2336, X2340, X2338, X2339)).\nand substitutionX2336 -> T704,\nT700 -> s(T704),\nX2337 -> s(s(s(s(0)))),\nX2338 -> s(s(s(s(s(s(0)))))),\nX2339 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
767 -> 2259 [arrowhead = none ];
2259 -> 768;

2260 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
767 -> 2260 [arrowhead = none ];
2260 -> 769;

2261 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
768 -> 2261 [arrowhead = none ];
2261 -> 770;

2262 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
770 -> 2262 [arrowhead = none ];
2262 -> 771;

2263 [label="ONLY EVAL with clause\np(s(X2350), X2350).\nand substitutionX2350 -> s(s(s(0))),\nX2340 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
771 -> 2263 [arrowhead = none ];
2263 -> 772;

2264 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
772 -> 2264 [arrowhead = none ];
2264 -> 773;

2265 [label="EVAL with clause\nquot(0, s(X2360), s(X2361), X2362) :- ','(!_166, eq(X2362, 0)).\nand substitutionT704 -> 0,\nX2360 -> s(s(0)),\nX2361 -> s(s(s(s(s(0))))),\nX2362 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
773 -> 2265 [arrowhead = none ];
2265 -> 774;

2266 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
773 -> 2266 [arrowhead = none ];
2266 -> 775;

2267 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
774 -> 2267 [arrowhead = none ];
2267 -> 776;

2268 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
775 -> 2268 [arrowhead = none ];
2268 -> 780;

2269 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
776 -> 2269 [arrowhead = none ];
2269 -> 777;

2270 [label="ONLY EVAL with clause\neq(X2365, X2365).\nand substitutionX2365 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
777 -> 2270 [arrowhead = none ];
2270 -> 778;

2271 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
778 -> 2271 [arrowhead = none ];
2271 -> 779;

2272 [label="EVAL with clause\nquot(s(X2378), X2379, X2380, X2381) :- ','(p(X2379, X2382), quot(X2378, X2382, X2380, X2381)).\nand substitutionX2378 -> T708,\nT704 -> s(T708),\nX2379 -> s(s(s(0))),\nX2380 -> s(s(s(s(s(s(0)))))),\nX2381 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
780 -> 2272 [arrowhead = none ];
2272 -> 781;

2273 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
780 -> 2273 [arrowhead = none ];
2273 -> 782;

2274 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
781 -> 2274 [arrowhead = none ];
2274 -> 783;

2275 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
783 -> 2275 [arrowhead = none ];
2275 -> 784;

2276 [label="ONLY EVAL with clause\np(s(X2392), X2392).\nand substitutionX2392 -> s(s(0)),\nX2382 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
784 -> 2276 [arrowhead = none ];
2276 -> 785;

2277 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
785 -> 2277 [arrowhead = none ];
2277 -> 786;

2278 [label="EVAL with clause\nquot(0, s(X2402), s(X2403), X2404) :- ','(!_169, eq(X2404, 0)).\nand substitutionT708 -> 0,\nX2402 -> s(0),\nX2403 -> s(s(s(s(s(0))))),\nX2404 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
786 -> 2278 [arrowhead = none ];
2278 -> 787;

2279 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
786 -> 2279 [arrowhead = none ];
2279 -> 788;

2280 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
787 -> 2280 [arrowhead = none ];
2280 -> 789;

2281 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
788 -> 2281 [arrowhead = none ];
2281 -> 793;

2282 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
789 -> 2282 [arrowhead = none ];
2282 -> 790;

2283 [label="ONLY EVAL with clause\neq(X2407, X2407).\nand substitutionX2407 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
790 -> 2283 [arrowhead = none ];
2283 -> 791;

2284 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
791 -> 2284 [arrowhead = none ];
2284 -> 792;

2285 [label="EVAL with clause\nquot(s(X2420), X2421, X2422, X2423) :- ','(p(X2421, X2424), quot(X2420, X2424, X2422, X2423)).\nand substitutionX2420 -> T712,\nT708 -> s(T712),\nX2421 -> s(s(0)),\nX2422 -> s(s(s(s(s(s(0)))))),\nX2423 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
793 -> 2285 [arrowhead = none ];
2285 -> 794;

2286 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
793 -> 2286 [arrowhead = none ];
2286 -> 795;

2287 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
794 -> 2287 [arrowhead = none ];
2287 -> 796;

2288 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
796 -> 2288 [arrowhead = none ];
2288 -> 797;

2289 [label="ONLY EVAL with clause\np(s(X2434), X2434).\nand substitutionX2434 -> s(0),\nX2424 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
797 -> 2289 [arrowhead = none ];
2289 -> 798;

2290 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
798 -> 2290 [arrowhead = none ];
2290 -> 799;

2291 [label="EVAL with clause\nquot(0, s(X2444), s(X2445), X2446) :- ','(!_172, eq(X2446, 0)).\nand substitutionT712 -> 0,\nX2444 -> 0,\nX2445 -> s(s(s(s(s(0))))),\nX2446 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
799 -> 2291 [arrowhead = none ];
2291 -> 800;

2292 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
799 -> 2292 [arrowhead = none ];
2292 -> 801;

2293 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
800 -> 2293 [arrowhead = none ];
2293 -> 802;

2294 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
801 -> 2294 [arrowhead = none ];
2294 -> 806;

2295 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
802 -> 2295 [arrowhead = none ];
2295 -> 803;

2296 [label="ONLY EVAL with clause\neq(X2449, X2449).\nand substitutionX2449 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
803 -> 2296 [arrowhead = none ];
2296 -> 804;

2297 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
804 -> 2297 [arrowhead = none ];
2297 -> 805;

2298 [label="EVAL with clause\nquot(s(X2462), X2463, X2464, X2465) :- ','(p(X2463, X2466), quot(X2462, X2466, X2464, X2465)).\nand substitutionX2462 -> T716,\nT712 -> s(T716),\nX2463 -> s(0),\nX2464 -> s(s(s(s(s(s(0)))))),\nX2465 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
806 -> 2298 [arrowhead = none ];
2298 -> 807;

2299 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
806 -> 2299 [arrowhead = none ];
2299 -> 808;

2300 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
807 -> 2300 [arrowhead = none ];
2300 -> 809;

2301 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
809 -> 2301 [arrowhead = none ];
2301 -> 810;

2302 [label="ONLY EVAL with clause\np(s(X2476), X2476).\nand substitutionX2476 -> 0,\nX2466 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
810 -> 2302 [arrowhead = none ];
2302 -> 811;

2303 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
811 -> 2303 [arrowhead = none ];
2303 -> 812;

2304 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
812 -> 2304 [arrowhead = none ];
2304 -> 813;

2305 [label="ONLY EVAL with clause\nquot(X2491, 0, X2492, X2493) :- ','(!_175, ','(eq(X2492, s(X2494)), ','(p(X2493, X2495), quot(X2491, X2492, X2492, X2495)))).\nand substitutionT716 -> T719,\nX2491 -> T719,\nX2492 -> s(s(s(s(s(s(0)))))),\nX2493 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
813 -> 2305 [arrowhead = none ];
2305 -> 814;

2306 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
814 -> 2306 [arrowhead = none ];
2306 -> 815;

2307 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
815 -> 2307 [arrowhead = none ];
2307 -> 816;

2308 [label="ONLY EVAL with clause\neq(X2506, X2506).\nand substitutionX2506 -> s(s(s(s(s(s(0)))))),\nX2494 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
816 -> 2308 [arrowhead = none ];
2308 -> 817;

2309 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
817 -> 2309 [arrowhead = none ];
2309 -> 818;

2310 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
818 -> 2310 [arrowhead = none ];
2310 -> 819;

2311 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
818 -> 2311 [arrowhead = none ];
2311 -> 820;

2312 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX2495 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
819 -> 2312 [arrowhead = none ];
2312 -> 821;

2313 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
820 -> 2313 [arrowhead = none ];
2313 -> 822;

2314 [label="INSTANCE with matching:\nT690 -> T719", fontsize=14, style = filled, fillcolor = lightgrey];
821 -> 2314 [arrowhead = none , style=dashed];
2314 -> 732[style=dashed];

2315 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
823 -> 2315 [arrowhead = none ];
2315 -> 825;

2316 [label="EVAL with clause\nquot(0, s(X2533), s(X2534), X2535) :- ','(!_178, eq(X2535, 0)).\nand substitutionT690 -> 0,\nX2533 -> s(s(s(s(s(0))))),\nX2534 -> s(s(s(s(s(0))))),\nT723 -> T728,\nX2535 -> T728,\nT727 -> T728", fontsize=14, style = filled, fillcolor = lightblue];
825 -> 2316 [arrowhead = none ];
2316 -> 826;

2317 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
825 -> 2317 [arrowhead = none ];
2317 -> 827;

2318 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
826 -> 2318 [arrowhead = none ];
2318 -> 828;

2319 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
827 -> 2319 [arrowhead = none ];
2319 -> 833;

2320 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
828 -> 2320 [arrowhead = none ];
2320 -> 829;

2321 [label="EVAL with clause\neq(X2538, X2538).\nand substitutionT728 -> 0,\nX2538 -> 0,\nT731 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
829 -> 2321 [arrowhead = none ];
2321 -> 830;

2322 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
829 -> 2322 [arrowhead = none ];
2322 -> 831;

2323 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
830 -> 2323 [arrowhead = none ];
2323 -> 832;

2324 [label="EVAL with clause\nquot(s(X2551), X2552, X2553, X2554) :- ','(p(X2552, X2555), quot(X2551, X2555, X2553, X2554)).\nand substitutionX2551 -> T737,\nT690 -> s(T737),\nX2552 -> s(s(s(s(s(s(0)))))),\nX2553 -> s(s(s(s(s(s(0)))))),\nT723 -> T739,\nX2554 -> T739,\nT738 -> T739", fontsize=14, style = filled, fillcolor = lightblue];
833 -> 2324 [arrowhead = none ];
2324 -> 834;

2325 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
833 -> 2325 [arrowhead = none ];
2325 -> 835;

2326 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
834 -> 2326 [arrowhead = none ];
2326 -> 836;

2327 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
836 -> 2327 [arrowhead = none ];
2327 -> 837;

2328 [label="ONLY EVAL with clause\np(s(X2565), X2565).\nand substitutionX2565 -> s(s(s(s(s(0))))),\nX2555 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
837 -> 2328 [arrowhead = none ];
2328 -> 838;

2329 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
838 -> 2329 [arrowhead = none ];
2329 -> 839;

2330 [label="EVAL with clause\nquot(0, s(X2575), s(X2576), X2577) :- ','(!_181, eq(X2577, 0)).\nand substitutionT737 -> 0,\nX2575 -> s(s(s(s(0)))),\nX2576 -> s(s(s(s(s(0))))),\nT739 -> T746,\nX2577 -> T746,\nT745 -> T746", fontsize=14, style = filled, fillcolor = lightblue];
839 -> 2330 [arrowhead = none ];
2330 -> 840;

2331 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
839 -> 2331 [arrowhead = none ];
2331 -> 841;

2332 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
840 -> 2332 [arrowhead = none ];
2332 -> 842;

2333 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
841 -> 2333 [arrowhead = none ];
2333 -> 847;

2334 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
842 -> 2334 [arrowhead = none ];
2334 -> 843;

2335 [label="EVAL with clause\neq(X2580, X2580).\nand substitutionT746 -> 0,\nX2580 -> 0,\nT749 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
843 -> 2335 [arrowhead = none ];
2335 -> 844;

2336 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
843 -> 2336 [arrowhead = none ];
2336 -> 845;

2337 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
844 -> 2337 [arrowhead = none ];
2337 -> 846;

2338 [label="EVAL with clause\nquot(s(X2593), X2594, X2595, X2596) :- ','(p(X2594, X2597), quot(X2593, X2597, X2595, X2596)).\nand substitutionX2593 -> T755,\nT737 -> s(T755),\nX2594 -> s(s(s(s(s(0))))),\nX2595 -> s(s(s(s(s(s(0)))))),\nT739 -> T757,\nX2596 -> T757,\nT756 -> T757", fontsize=14, style = filled, fillcolor = lightblue];
847 -> 2338 [arrowhead = none ];
2338 -> 848;

2339 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
847 -> 2339 [arrowhead = none ];
2339 -> 849;

2340 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
848 -> 2340 [arrowhead = none ];
2340 -> 850;

2341 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
850 -> 2341 [arrowhead = none ];
2341 -> 851;

2342 [label="ONLY EVAL with clause\np(s(X2607), X2607).\nand substitutionX2607 -> s(s(s(s(0)))),\nX2597 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
851 -> 2342 [arrowhead = none ];
2342 -> 852;

2343 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
852 -> 2343 [arrowhead = none ];
2343 -> 853;

2344 [label="EVAL with clause\nquot(0, s(X2617), s(X2618), X2619) :- ','(!_184, eq(X2619, 0)).\nand substitutionT755 -> 0,\nX2617 -> s(s(s(0))),\nX2618 -> s(s(s(s(s(0))))),\nT757 -> T764,\nX2619 -> T764,\nT763 -> T764", fontsize=14, style = filled, fillcolor = lightblue];
853 -> 2344 [arrowhead = none ];
2344 -> 854;

2345 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
853 -> 2345 [arrowhead = none ];
2345 -> 855;

2346 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
854 -> 2346 [arrowhead = none ];
2346 -> 856;

2347 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
855 -> 2347 [arrowhead = none ];
2347 -> 861;

2348 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
856 -> 2348 [arrowhead = none ];
2348 -> 857;

2349 [label="EVAL with clause\neq(X2622, X2622).\nand substitutionT764 -> 0,\nX2622 -> 0,\nT767 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
857 -> 2349 [arrowhead = none ];
2349 -> 858;

2350 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
857 -> 2350 [arrowhead = none ];
2350 -> 859;

2351 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
858 -> 2351 [arrowhead = none ];
2351 -> 860;

2352 [label="EVAL with clause\nquot(s(X2635), X2636, X2637, X2638) :- ','(p(X2636, X2639), quot(X2635, X2639, X2637, X2638)).\nand substitutionX2635 -> T773,\nT755 -> s(T773),\nX2636 -> s(s(s(s(0)))),\nX2637 -> s(s(s(s(s(s(0)))))),\nT757 -> T775,\nX2638 -> T775,\nT774 -> T775", fontsize=14, style = filled, fillcolor = lightblue];
861 -> 2352 [arrowhead = none ];
2352 -> 862;

2353 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
861 -> 2353 [arrowhead = none ];
2353 -> 863;

2354 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
862 -> 2354 [arrowhead = none ];
2354 -> 864;

2355 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
864 -> 2355 [arrowhead = none ];
2355 -> 865;

2356 [label="ONLY EVAL with clause\np(s(X2649), X2649).\nand substitutionX2649 -> s(s(s(0))),\nX2639 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
865 -> 2356 [arrowhead = none ];
2356 -> 866;

2357 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
866 -> 2357 [arrowhead = none ];
2357 -> 867;

2358 [label="EVAL with clause\nquot(0, s(X2659), s(X2660), X2661) :- ','(!_187, eq(X2661, 0)).\nand substitutionT773 -> 0,\nX2659 -> s(s(0)),\nX2660 -> s(s(s(s(s(0))))),\nT775 -> T782,\nX2661 -> T782,\nT781 -> T782", fontsize=14, style = filled, fillcolor = lightblue];
867 -> 2358 [arrowhead = none ];
2358 -> 868;

2359 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
867 -> 2359 [arrowhead = none ];
2359 -> 869;

2360 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
868 -> 2360 [arrowhead = none ];
2360 -> 870;

2361 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
869 -> 2361 [arrowhead = none ];
2361 -> 875;

2362 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
870 -> 2362 [arrowhead = none ];
2362 -> 871;

2363 [label="EVAL with clause\neq(X2664, X2664).\nand substitutionT782 -> 0,\nX2664 -> 0,\nT785 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
871 -> 2363 [arrowhead = none ];
2363 -> 872;

2364 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
871 -> 2364 [arrowhead = none ];
2364 -> 873;

2365 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
872 -> 2365 [arrowhead = none ];
2365 -> 874;

2366 [label="EVAL with clause\nquot(s(X2677), X2678, X2679, X2680) :- ','(p(X2678, X2681), quot(X2677, X2681, X2679, X2680)).\nand substitutionX2677 -> T791,\nT773 -> s(T791),\nX2678 -> s(s(s(0))),\nX2679 -> s(s(s(s(s(s(0)))))),\nT775 -> T793,\nX2680 -> T793,\nT792 -> T793", fontsize=14, style = filled, fillcolor = lightblue];
875 -> 2366 [arrowhead = none ];
2366 -> 876;

2367 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
875 -> 2367 [arrowhead = none ];
2367 -> 877;

2368 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
876 -> 2368 [arrowhead = none ];
2368 -> 878;

2369 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
878 -> 2369 [arrowhead = none ];
2369 -> 879;

2370 [label="ONLY EVAL with clause\np(s(X2691), X2691).\nand substitutionX2691 -> s(s(0)),\nX2681 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
879 -> 2370 [arrowhead = none ];
2370 -> 880;

2371 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
880 -> 2371 [arrowhead = none ];
2371 -> 881;

2372 [label="EVAL with clause\nquot(0, s(X2701), s(X2702), X2703) :- ','(!_190, eq(X2703, 0)).\nand substitutionT791 -> 0,\nX2701 -> s(0),\nX2702 -> s(s(s(s(s(0))))),\nT793 -> T800,\nX2703 -> T800,\nT799 -> T800", fontsize=14, style = filled, fillcolor = lightblue];
881 -> 2372 [arrowhead = none ];
2372 -> 882;

2373 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
881 -> 2373 [arrowhead = none ];
2373 -> 883;

2374 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
882 -> 2374 [arrowhead = none ];
2374 -> 884;

2375 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
883 -> 2375 [arrowhead = none ];
2375 -> 889;

2376 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
884 -> 2376 [arrowhead = none ];
2376 -> 885;

2377 [label="EVAL with clause\neq(X2706, X2706).\nand substitutionT800 -> 0,\nX2706 -> 0,\nT803 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
885 -> 2377 [arrowhead = none ];
2377 -> 886;

2378 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
885 -> 2378 [arrowhead = none ];
2378 -> 887;

2379 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
886 -> 2379 [arrowhead = none ];
2379 -> 888;

2380 [label="EVAL with clause\nquot(s(X2719), X2720, X2721, X2722) :- ','(p(X2720, X2723), quot(X2719, X2723, X2721, X2722)).\nand substitutionX2719 -> T809,\nT791 -> s(T809),\nX2720 -> s(s(0)),\nX2721 -> s(s(s(s(s(s(0)))))),\nT793 -> T811,\nX2722 -> T811,\nT810 -> T811", fontsize=14, style = filled, fillcolor = lightblue];
889 -> 2380 [arrowhead = none ];
2380 -> 890;

2381 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
889 -> 2381 [arrowhead = none ];
2381 -> 891;

2382 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
890 -> 2382 [arrowhead = none ];
2382 -> 892;

2383 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
892 -> 2383 [arrowhead = none ];
2383 -> 893;

2384 [label="ONLY EVAL with clause\np(s(X2733), X2733).\nand substitutionX2733 -> s(0),\nX2723 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
893 -> 2384 [arrowhead = none ];
2384 -> 894;

2385 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
894 -> 2385 [arrowhead = none ];
2385 -> 895;

2386 [label="EVAL with clause\nquot(0, s(X2743), s(X2744), X2745) :- ','(!_193, eq(X2745, 0)).\nand substitutionT809 -> 0,\nX2743 -> 0,\nX2744 -> s(s(s(s(s(0))))),\nT811 -> T818,\nX2745 -> T818,\nT817 -> T818", fontsize=14, style = filled, fillcolor = lightblue];
895 -> 2386 [arrowhead = none ];
2386 -> 896;

2387 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
895 -> 2387 [arrowhead = none ];
2387 -> 897;

2388 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
896 -> 2388 [arrowhead = none ];
2388 -> 898;

2389 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
897 -> 2389 [arrowhead = none ];
2389 -> 903;

2390 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
898 -> 2390 [arrowhead = none ];
2390 -> 899;

2391 [label="EVAL with clause\neq(X2748, X2748).\nand substitutionT818 -> 0,\nX2748 -> 0,\nT821 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
899 -> 2391 [arrowhead = none ];
2391 -> 900;

2392 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
899 -> 2392 [arrowhead = none ];
2392 -> 901;

2393 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
900 -> 2393 [arrowhead = none ];
2393 -> 902;

2394 [label="EVAL with clause\nquot(s(X2761), X2762, X2763, X2764) :- ','(p(X2762, X2765), quot(X2761, X2765, X2763, X2764)).\nand substitutionX2761 -> T827,\nT809 -> s(T827),\nX2762 -> s(0),\nX2763 -> s(s(s(s(s(s(0)))))),\nT811 -> T829,\nX2764 -> T829,\nT828 -> T829", fontsize=14, style = filled, fillcolor = lightblue];
903 -> 2394 [arrowhead = none ];
2394 -> 904;

2395 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
903 -> 2395 [arrowhead = none ];
2395 -> 905;

2396 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
904 -> 2396 [arrowhead = none ];
2396 -> 906;

2397 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
906 -> 2397 [arrowhead = none ];
2397 -> 907;

2398 [label="ONLY EVAL with clause\np(s(X2775), X2775).\nand substitutionX2775 -> 0,\nX2765 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
907 -> 2398 [arrowhead = none ];
2398 -> 908;

2399 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
908 -> 2399 [arrowhead = none ];
2399 -> 909;

2400 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
909 -> 2400 [arrowhead = none ];
2400 -> 910;

2401 [label="ONLY EVAL with clause\nquot(X2790, 0, X2791, X2792) :- ','(!_196, ','(eq(X2791, s(X2793)), ','(p(X2792, X2794), quot(X2790, X2791, X2791, X2794)))).\nand substitutionT827 -> T836,\nX2790 -> T836,\nX2791 -> s(s(s(s(s(s(0)))))),\nT829 -> T838,\nX2792 -> T838,\nT837 -> T838", fontsize=14, style = filled, fillcolor = lightblue];
910 -> 2401 [arrowhead = none ];
2401 -> 911;

2402 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
911 -> 2402 [arrowhead = none ];
2402 -> 912;

2403 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
912 -> 2403 [arrowhead = none ];
2403 -> 913;

2404 [label="ONLY EVAL with clause\neq(X2805, X2805).\nand substitutionX2805 -> s(s(s(s(s(s(0)))))),\nX2793 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
913 -> 2404 [arrowhead = none ];
2404 -> 914;

2405 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
914 -> 2405 [arrowhead = none ];
2405 -> 915;

2406 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
915 -> 2406 [arrowhead = none ];
2406 -> 916;

2407 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
915 -> 2407 [arrowhead = none ];
2407 -> 917;

2408 [label="EVAL with clause\np(0, 0).\nand substitutionT838 -> 0,\nX2794 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
916 -> 2408 [arrowhead = none ];
2408 -> 918;

2409 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
916 -> 2409 [arrowhead = none ];
2409 -> 919;

2410 [label="EVAL with clause\np(s(X2815), X2815).\nand substitutionX2815 -> T842,\nT838 -> s(T842),\nX2794 -> T842,\nT841 -> T842", fontsize=14, style = filled, fillcolor = lightblue];
917 -> 2410 [arrowhead = none ];
2410 -> 920;

2411 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
917 -> 2411 [arrowhead = none ];
2411 -> 921;

2412 [label="INSTANCE with matching:\nT690 -> T836", fontsize=14, style = filled, fillcolor = lightgrey];
918 -> 2412 [arrowhead = none , style=dashed];
2412 -> 732[style=dashed];

2413 [label="INSTANCE with matching:\nT690 -> T836\nT723 -> T842", fontsize=14, style = filled, fillcolor = lightgrey];
920 -> 2413 [arrowhead = none , style=dashed];
2413 -> 823[style=dashed];

2414 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
922 -> 2414 [arrowhead = none ];
2414 -> 924;

2415 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
924 -> 2415 [arrowhead = none ];
2415 -> 925;

2416 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
924 -> 2416 [arrowhead = none ];
2416 -> 926;

2417 [label="EVAL with clause\np(0, 0).\nand substitutionT851 -> 0,\nX2832 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
925 -> 2417 [arrowhead = none ];
2417 -> 927;

2418 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
925 -> 2418 [arrowhead = none ];
2418 -> 928;

2419 [label="EVAL with clause\np(s(X2842), X2842).\nand substitutionX2842 -> T858,\nT851 -> s(T858),\nX2832 -> T858", fontsize=14, style = filled, fillcolor = lightblue];
926 -> 2419 [arrowhead = none ];
2419 -> 929;

2420 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
926 -> 2420 [arrowhead = none ];
2420 -> 930;

2421 [label="INSTANCE with matching:\nT827 -> T850\nT829 -> T853", fontsize=14, style = filled, fillcolor = lightgrey];
927 -> 2421 [arrowhead = none , style=dashed];
2421 -> 908[style=dashed];

2422 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
929 -> 2422 [arrowhead = none ];
2422 -> 931;

2423 [label="EVAL with clause\nquot(0, s(X2852), s(X2853), X2854) :- ','(!_200, eq(X2854, 0)).\nand substitutionT850 -> 0,\nX2852 -> T865,\nT858 -> s(T865),\nX2853 -> s(s(s(s(s(s(s(T865))))))),\nT853 -> T867,\nX2854 -> T867,\nT866 -> T867", fontsize=14, style = filled, fillcolor = lightblue];
931 -> 2423 [arrowhead = none ];
2423 -> 932;

2424 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
931 -> 2424 [arrowhead = none ];
2424 -> 933;

2425 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
932 -> 2425 [arrowhead = none ];
2425 -> 934;

2426 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
933 -> 2426 [arrowhead = none ];
2426 -> 939;

2427 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
933 -> 2427 [arrowhead = none ];
2427 -> 940;

2428 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
934 -> 2428 [arrowhead = none ];
2428 -> 935;

2429 [label="EVAL with clause\neq(X2857, X2857).\nand substitutionT867 -> 0,\nX2857 -> 0,\nT870 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
935 -> 2429 [arrowhead = none ];
2429 -> 936;

2430 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
935 -> 2430 [arrowhead = none ];
2430 -> 937;

2431 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
936 -> 2431 [arrowhead = none ];
2431 -> 938;

2432 [label="EVAL with clause\nquot(X2874, 0, X2875, X2876) :- ','(!_200, ','(eq(X2875, s(X2877)), ','(p(X2876, X2878), quot(X2874, X2875, X2875, X2878)))).\nand substitutionT850 -> T879,\nX2874 -> T879,\nT858 -> 0,\nX2875 -> s(s(s(s(s(s(s(0))))))),\nT853 -> T881,\nX2876 -> T881,\nT880 -> T881", fontsize=14, style = filled, fillcolor = lightblue];
939 -> 2432 [arrowhead = none ];
2432 -> 941;

2433 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
939 -> 2433 [arrowhead = none ];
2433 -> 942;

2434 [label="EVAL with clause\nquot(s(X3581), X3582, X3583, X3584) :- ','(p(X3582, X3585), quot(X3581, X3585, X3583, X3584)).\nand substitutionX3581 -> T1061,\nT850 -> s(T1061),\nT858 -> T1062,\nX3582 -> T1062,\nX3583 -> s(s(s(s(s(s(s(T1062))))))),\nT853 -> T1064,\nX3584 -> T1064,\nT1063 -> T1064", fontsize=14, style = filled, fillcolor = lightblue];
940 -> 2434 [arrowhead = none ];
2434 -> 1166;

2435 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
940 -> 2435 [arrowhead = none ];
2435 -> 1167;

2436 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
941 -> 2436 [arrowhead = none ];
2436 -> 943;

2437 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
943 -> 2437 [arrowhead = none ];
2437 -> 944;

2438 [label="ONLY EVAL with clause\neq(X2889, X2889).\nand substitutionX2889 -> s(s(s(s(s(s(s(0))))))),\nX2877 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
944 -> 2438 [arrowhead = none ];
2438 -> 945;

2439 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
945 -> 2439 [arrowhead = none ];
2439 -> 946;

2440 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
946 -> 2440 [arrowhead = none ];
2440 -> 947;

2441 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
946 -> 2441 [arrowhead = none ];
2441 -> 948;

2442 [label="EVAL with clause\np(0, 0).\nand substitutionT881 -> 0,\nX2878 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
947 -> 2442 [arrowhead = none ];
2442 -> 949;

2443 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
947 -> 2443 [arrowhead = none ];
2443 -> 950;

2444 [label="EVAL with clause\np(s(X3234), X3234).\nand substitutionX3234 -> T916,\nT881 -> s(T916),\nX2878 -> T916,\nT915 -> T916", fontsize=14, style = filled, fillcolor = lightblue];
948 -> 2444 [arrowhead = none ];
2444 -> 1053;

2445 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
948 -> 2445 [arrowhead = none ];
2445 -> 1054;

2446 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
949 -> 2446 [arrowhead = none ];
2446 -> 951;

2447 [label="EVAL with clause\nquot(0, s(X2903), s(X2904), X2905) :- ','(!_204, eq(X2905, 0)).\nand substitutionT879 -> 0,\nX2903 -> s(s(s(s(s(s(0)))))),\nX2904 -> s(s(s(s(s(s(0)))))),\nX2905 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
951 -> 2447 [arrowhead = none ];
2447 -> 952;

2448 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
951 -> 2448 [arrowhead = none ];
2448 -> 953;

2449 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
952 -> 2449 [arrowhead = none ];
2449 -> 954;

2450 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
953 -> 2450 [arrowhead = none ];
2450 -> 958;

2451 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
954 -> 2451 [arrowhead = none ];
2451 -> 955;

2452 [label="ONLY EVAL with clause\neq(X2908, X2908).\nand substitutionX2908 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
955 -> 2452 [arrowhead = none ];
2452 -> 956;

2453 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
956 -> 2453 [arrowhead = none ];
2453 -> 957;

2454 [label="EVAL with clause\nquot(s(X2921), X2922, X2923, X2924) :- ','(p(X2922, X2925), quot(X2921, X2925, X2923, X2924)).\nand substitutionX2921 -> T885,\nT879 -> s(T885),\nX2922 -> s(s(s(s(s(s(s(0))))))),\nX2923 -> s(s(s(s(s(s(s(0))))))),\nX2924 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
958 -> 2454 [arrowhead = none ];
2454 -> 959;

2455 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
958 -> 2455 [arrowhead = none ];
2455 -> 960;

2456 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
959 -> 2456 [arrowhead = none ];
2456 -> 961;

2457 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
961 -> 2457 [arrowhead = none ];
2457 -> 962;

2458 [label="ONLY EVAL with clause\np(s(X2935), X2935).\nand substitutionX2935 -> s(s(s(s(s(s(0)))))),\nX2925 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
962 -> 2458 [arrowhead = none ];
2458 -> 963;

2459 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
963 -> 2459 [arrowhead = none ];
2459 -> 964;

2460 [label="EVAL with clause\nquot(0, s(X2945), s(X2946), X2947) :- ','(!_207, eq(X2947, 0)).\nand substitutionT885 -> 0,\nX2945 -> s(s(s(s(s(0))))),\nX2946 -> s(s(s(s(s(s(0)))))),\nX2947 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
964 -> 2460 [arrowhead = none ];
2460 -> 965;

2461 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
964 -> 2461 [arrowhead = none ];
2461 -> 966;

2462 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
965 -> 2462 [arrowhead = none ];
2462 -> 967;

2463 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
966 -> 2463 [arrowhead = none ];
2463 -> 971;

2464 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
967 -> 2464 [arrowhead = none ];
2464 -> 968;

2465 [label="ONLY EVAL with clause\neq(X2950, X2950).\nand substitutionX2950 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
968 -> 2465 [arrowhead = none ];
2465 -> 969;

2466 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
969 -> 2466 [arrowhead = none ];
2466 -> 970;

2467 [label="EVAL with clause\nquot(s(X2963), X2964, X2965, X2966) :- ','(p(X2964, X2967), quot(X2963, X2967, X2965, X2966)).\nand substitutionX2963 -> T889,\nT885 -> s(T889),\nX2964 -> s(s(s(s(s(s(0)))))),\nX2965 -> s(s(s(s(s(s(s(0))))))),\nX2966 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
971 -> 2467 [arrowhead = none ];
2467 -> 972;

2468 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
971 -> 2468 [arrowhead = none ];
2468 -> 973;

2469 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
972 -> 2469 [arrowhead = none ];
2469 -> 974;

2470 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
974 -> 2470 [arrowhead = none ];
2470 -> 975;

2471 [label="ONLY EVAL with clause\np(s(X2977), X2977).\nand substitutionX2977 -> s(s(s(s(s(0))))),\nX2967 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
975 -> 2471 [arrowhead = none ];
2471 -> 976;

2472 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
976 -> 2472 [arrowhead = none ];
2472 -> 977;

2473 [label="EVAL with clause\nquot(0, s(X2987), s(X2988), X2989) :- ','(!_210, eq(X2989, 0)).\nand substitutionT889 -> 0,\nX2987 -> s(s(s(s(0)))),\nX2988 -> s(s(s(s(s(s(0)))))),\nX2989 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
977 -> 2473 [arrowhead = none ];
2473 -> 978;

2474 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
977 -> 2474 [arrowhead = none ];
2474 -> 979;

2475 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
978 -> 2475 [arrowhead = none ];
2475 -> 980;

2476 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
979 -> 2476 [arrowhead = none ];
2476 -> 984;

2477 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
980 -> 2477 [arrowhead = none ];
2477 -> 981;

2478 [label="ONLY EVAL with clause\neq(X2992, X2992).\nand substitutionX2992 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
981 -> 2478 [arrowhead = none ];
2478 -> 982;

2479 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
982 -> 2479 [arrowhead = none ];
2479 -> 983;

2480 [label="EVAL with clause\nquot(s(X3005), X3006, X3007, X3008) :- ','(p(X3006, X3009), quot(X3005, X3009, X3007, X3008)).\nand substitutionX3005 -> T893,\nT889 -> s(T893),\nX3006 -> s(s(s(s(s(0))))),\nX3007 -> s(s(s(s(s(s(s(0))))))),\nX3008 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
984 -> 2480 [arrowhead = none ];
2480 -> 985;

2481 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
984 -> 2481 [arrowhead = none ];
2481 -> 986;

2482 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
985 -> 2482 [arrowhead = none ];
2482 -> 987;

2483 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
987 -> 2483 [arrowhead = none ];
2483 -> 988;

2484 [label="ONLY EVAL with clause\np(s(X3019), X3019).\nand substitutionX3019 -> s(s(s(s(0)))),\nX3009 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
988 -> 2484 [arrowhead = none ];
2484 -> 989;

2485 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
989 -> 2485 [arrowhead = none ];
2485 -> 990;

2486 [label="EVAL with clause\nquot(0, s(X3029), s(X3030), X3031) :- ','(!_213, eq(X3031, 0)).\nand substitutionT893 -> 0,\nX3029 -> s(s(s(0))),\nX3030 -> s(s(s(s(s(s(0)))))),\nX3031 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
990 -> 2486 [arrowhead = none ];
2486 -> 991;

2487 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
990 -> 2487 [arrowhead = none ];
2487 -> 992;

2488 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
991 -> 2488 [arrowhead = none ];
2488 -> 993;

2489 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
992 -> 2489 [arrowhead = none ];
2489 -> 997;

2490 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
993 -> 2490 [arrowhead = none ];
2490 -> 994;

2491 [label="ONLY EVAL with clause\neq(X3034, X3034).\nand substitutionX3034 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
994 -> 2491 [arrowhead = none ];
2491 -> 995;

2492 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
995 -> 2492 [arrowhead = none ];
2492 -> 996;

2493 [label="EVAL with clause\nquot(s(X3047), X3048, X3049, X3050) :- ','(p(X3048, X3051), quot(X3047, X3051, X3049, X3050)).\nand substitutionX3047 -> T897,\nT893 -> s(T897),\nX3048 -> s(s(s(s(0)))),\nX3049 -> s(s(s(s(s(s(s(0))))))),\nX3050 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
997 -> 2493 [arrowhead = none ];
2493 -> 998;

2494 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
997 -> 2494 [arrowhead = none ];
2494 -> 999;

2495 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
998 -> 2495 [arrowhead = none ];
2495 -> 1000;

2496 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1000 -> 2496 [arrowhead = none ];
2496 -> 1001;

2497 [label="ONLY EVAL with clause\np(s(X3061), X3061).\nand substitutionX3061 -> s(s(s(0))),\nX3051 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
1001 -> 2497 [arrowhead = none ];
2497 -> 1002;

2498 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1002 -> 2498 [arrowhead = none ];
2498 -> 1003;

2499 [label="EVAL with clause\nquot(0, s(X3071), s(X3072), X3073) :- ','(!_216, eq(X3073, 0)).\nand substitutionT897 -> 0,\nX3071 -> s(s(0)),\nX3072 -> s(s(s(s(s(s(0)))))),\nX3073 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1003 -> 2499 [arrowhead = none ];
2499 -> 1004;

2500 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1003 -> 2500 [arrowhead = none ];
2500 -> 1005;

2501 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1004 -> 2501 [arrowhead = none ];
2501 -> 1006;

2502 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1005 -> 2502 [arrowhead = none ];
2502 -> 1010;

2503 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1006 -> 2503 [arrowhead = none ];
2503 -> 1007;

2504 [label="ONLY EVAL with clause\neq(X3076, X3076).\nand substitutionX3076 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1007 -> 2504 [arrowhead = none ];
2504 -> 1008;

2505 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1008 -> 2505 [arrowhead = none ];
2505 -> 1009;

2506 [label="EVAL with clause\nquot(s(X3089), X3090, X3091, X3092) :- ','(p(X3090, X3093), quot(X3089, X3093, X3091, X3092)).\nand substitutionX3089 -> T901,\nT897 -> s(T901),\nX3090 -> s(s(s(0))),\nX3091 -> s(s(s(s(s(s(s(0))))))),\nX3092 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1010 -> 2506 [arrowhead = none ];
2506 -> 1011;

2507 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1010 -> 2507 [arrowhead = none ];
2507 -> 1012;

2508 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1011 -> 2508 [arrowhead = none ];
2508 -> 1013;

2509 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1013 -> 2509 [arrowhead = none ];
2509 -> 1014;

2510 [label="ONLY EVAL with clause\np(s(X3103), X3103).\nand substitutionX3103 -> s(s(0)),\nX3093 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
1014 -> 2510 [arrowhead = none ];
2510 -> 1015;

2511 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1015 -> 2511 [arrowhead = none ];
2511 -> 1016;

2512 [label="EVAL with clause\nquot(0, s(X3113), s(X3114), X3115) :- ','(!_219, eq(X3115, 0)).\nand substitutionT901 -> 0,\nX3113 -> s(0),\nX3114 -> s(s(s(s(s(s(0)))))),\nX3115 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1016 -> 2512 [arrowhead = none ];
2512 -> 1017;

2513 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1016 -> 2513 [arrowhead = none ];
2513 -> 1018;

2514 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1017 -> 2514 [arrowhead = none ];
2514 -> 1019;

2515 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1018 -> 2515 [arrowhead = none ];
2515 -> 1023;

2516 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1019 -> 2516 [arrowhead = none ];
2516 -> 1020;

2517 [label="ONLY EVAL with clause\neq(X3118, X3118).\nand substitutionX3118 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1020 -> 2517 [arrowhead = none ];
2517 -> 1021;

2518 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1021 -> 2518 [arrowhead = none ];
2518 -> 1022;

2519 [label="EVAL with clause\nquot(s(X3131), X3132, X3133, X3134) :- ','(p(X3132, X3135), quot(X3131, X3135, X3133, X3134)).\nand substitutionX3131 -> T905,\nT901 -> s(T905),\nX3132 -> s(s(0)),\nX3133 -> s(s(s(s(s(s(s(0))))))),\nX3134 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1023 -> 2519 [arrowhead = none ];
2519 -> 1024;

2520 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1023 -> 2520 [arrowhead = none ];
2520 -> 1025;

2521 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1024 -> 2521 [arrowhead = none ];
2521 -> 1026;

2522 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1026 -> 2522 [arrowhead = none ];
2522 -> 1027;

2523 [label="ONLY EVAL with clause\np(s(X3145), X3145).\nand substitutionX3145 -> s(0),\nX3135 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
1027 -> 2523 [arrowhead = none ];
2523 -> 1028;

2524 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1028 -> 2524 [arrowhead = none ];
2524 -> 1029;

2525 [label="EVAL with clause\nquot(0, s(X3155), s(X3156), X3157) :- ','(!_222, eq(X3157, 0)).\nand substitutionT905 -> 0,\nX3155 -> 0,\nX3156 -> s(s(s(s(s(s(0)))))),\nX3157 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1029 -> 2525 [arrowhead = none ];
2525 -> 1030;

2526 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1029 -> 2526 [arrowhead = none ];
2526 -> 1031;

2527 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1030 -> 2527 [arrowhead = none ];
2527 -> 1032;

2528 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1031 -> 2528 [arrowhead = none ];
2528 -> 1036;

2529 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1032 -> 2529 [arrowhead = none ];
2529 -> 1033;

2530 [label="ONLY EVAL with clause\neq(X3160, X3160).\nand substitutionX3160 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1033 -> 2530 [arrowhead = none ];
2530 -> 1034;

2531 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1034 -> 2531 [arrowhead = none ];
2531 -> 1035;

2532 [label="EVAL with clause\nquot(s(X3173), X3174, X3175, X3176) :- ','(p(X3174, X3177), quot(X3173, X3177, X3175, X3176)).\nand substitutionX3173 -> T909,\nT905 -> s(T909),\nX3174 -> s(0),\nX3175 -> s(s(s(s(s(s(s(0))))))),\nX3176 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1036 -> 2532 [arrowhead = none ];
2532 -> 1037;

2533 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1036 -> 2533 [arrowhead = none ];
2533 -> 1038;

2534 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1037 -> 2534 [arrowhead = none ];
2534 -> 1039;

2535 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1039 -> 2535 [arrowhead = none ];
2535 -> 1040;

2536 [label="ONLY EVAL with clause\np(s(X3187), X3187).\nand substitutionX3187 -> 0,\nX3177 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1040 -> 2536 [arrowhead = none ];
2536 -> 1041;

2537 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1041 -> 2537 [arrowhead = none ];
2537 -> 1042;

2538 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1042 -> 2538 [arrowhead = none ];
2538 -> 1043;

2539 [label="ONLY EVAL with clause\nquot(X3202, 0, X3203, X3204) :- ','(!_225, ','(eq(X3203, s(X3205)), ','(p(X3204, X3206), quot(X3202, X3203, X3203, X3206)))).\nand substitutionT909 -> T912,\nX3202 -> T912,\nX3203 -> s(s(s(s(s(s(s(0))))))),\nX3204 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1043 -> 2539 [arrowhead = none ];
2539 -> 1044;

2540 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1044 -> 2540 [arrowhead = none ];
2540 -> 1045;

2541 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1045 -> 2541 [arrowhead = none ];
2541 -> 1046;

2542 [label="ONLY EVAL with clause\neq(X3217, X3217).\nand substitutionX3217 -> s(s(s(s(s(s(s(0))))))),\nX3205 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
1046 -> 2542 [arrowhead = none ];
2542 -> 1047;

2543 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1047 -> 2543 [arrowhead = none ];
2543 -> 1048;

2544 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1048 -> 2544 [arrowhead = none ];
2544 -> 1049;

2545 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1048 -> 2545 [arrowhead = none ];
2545 -> 1050;

2546 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX3206 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1049 -> 2546 [arrowhead = none ];
2546 -> 1051;

2547 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1050 -> 2547 [arrowhead = none ];
2547 -> 1052;

2548 [label="INSTANCE with matching:\nT879 -> T912", fontsize=14, style = filled, fillcolor = lightgrey];
1051 -> 2548 [arrowhead = none , style=dashed];
2548 -> 949[style=dashed];

2549 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1053 -> 2549 [arrowhead = none ];
2549 -> 1055;

2550 [label="EVAL with clause\nquot(0, s(X3244), s(X3245), X3246) :- ','(!_228, eq(X3246, 0)).\nand substitutionT879 -> 0,\nX3244 -> s(s(s(s(s(s(0)))))),\nX3245 -> s(s(s(s(s(s(0)))))),\nT916 -> T921,\nX3246 -> T921,\nT920 -> T921", fontsize=14, style = filled, fillcolor = lightblue];
1055 -> 2550 [arrowhead = none ];
2550 -> 1056;

2551 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1055 -> 2551 [arrowhead = none ];
2551 -> 1057;

2552 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1056 -> 2552 [arrowhead = none ];
2552 -> 1058;

2553 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1057 -> 2553 [arrowhead = none ];
2553 -> 1063;

2554 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1058 -> 2554 [arrowhead = none ];
2554 -> 1059;

2555 [label="EVAL with clause\neq(X3249, X3249).\nand substitutionT921 -> 0,\nX3249 -> 0,\nT924 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1059 -> 2555 [arrowhead = none ];
2555 -> 1060;

2556 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1059 -> 2556 [arrowhead = none ];
2556 -> 1061;

2557 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1060 -> 2557 [arrowhead = none ];
2557 -> 1062;

2558 [label="EVAL with clause\nquot(s(X3262), X3263, X3264, X3265) :- ','(p(X3263, X3266), quot(X3262, X3266, X3264, X3265)).\nand substitutionX3262 -> T930,\nT879 -> s(T930),\nX3263 -> s(s(s(s(s(s(s(0))))))),\nX3264 -> s(s(s(s(s(s(s(0))))))),\nT916 -> T932,\nX3265 -> T932,\nT931 -> T932", fontsize=14, style = filled, fillcolor = lightblue];
1063 -> 2558 [arrowhead = none ];
2558 -> 1064;

2559 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1063 -> 2559 [arrowhead = none ];
2559 -> 1065;

2560 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1064 -> 2560 [arrowhead = none ];
2560 -> 1066;

2561 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1066 -> 2561 [arrowhead = none ];
2561 -> 1067;

2562 [label="ONLY EVAL with clause\np(s(X3276), X3276).\nand substitutionX3276 -> s(s(s(s(s(s(0)))))),\nX3266 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
1067 -> 2562 [arrowhead = none ];
2562 -> 1068;

2563 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1068 -> 2563 [arrowhead = none ];
2563 -> 1069;

2564 [label="EVAL with clause\nquot(0, s(X3286), s(X3287), X3288) :- ','(!_231, eq(X3288, 0)).\nand substitutionT930 -> 0,\nX3286 -> s(s(s(s(s(0))))),\nX3287 -> s(s(s(s(s(s(0)))))),\nT932 -> T939,\nX3288 -> T939,\nT938 -> T939", fontsize=14, style = filled, fillcolor = lightblue];
1069 -> 2564 [arrowhead = none ];
2564 -> 1070;

2565 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1069 -> 2565 [arrowhead = none ];
2565 -> 1071;

2566 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1070 -> 2566 [arrowhead = none ];
2566 -> 1072;

2567 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1071 -> 2567 [arrowhead = none ];
2567 -> 1077;

2568 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1072 -> 2568 [arrowhead = none ];
2568 -> 1073;

2569 [label="EVAL with clause\neq(X3291, X3291).\nand substitutionT939 -> 0,\nX3291 -> 0,\nT942 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1073 -> 2569 [arrowhead = none ];
2569 -> 1074;

2570 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1073 -> 2570 [arrowhead = none ];
2570 -> 1075;

2571 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1074 -> 2571 [arrowhead = none ];
2571 -> 1076;

2572 [label="EVAL with clause\nquot(s(X3304), X3305, X3306, X3307) :- ','(p(X3305, X3308), quot(X3304, X3308, X3306, X3307)).\nand substitutionX3304 -> T948,\nT930 -> s(T948),\nX3305 -> s(s(s(s(s(s(0)))))),\nX3306 -> s(s(s(s(s(s(s(0))))))),\nT932 -> T950,\nX3307 -> T950,\nT949 -> T950", fontsize=14, style = filled, fillcolor = lightblue];
1077 -> 2572 [arrowhead = none ];
2572 -> 1078;

2573 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1077 -> 2573 [arrowhead = none ];
2573 -> 1079;

2574 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1078 -> 2574 [arrowhead = none ];
2574 -> 1080;

2575 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1080 -> 2575 [arrowhead = none ];
2575 -> 1081;

2576 [label="ONLY EVAL with clause\np(s(X3318), X3318).\nand substitutionX3318 -> s(s(s(s(s(0))))),\nX3308 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
1081 -> 2576 [arrowhead = none ];
2576 -> 1082;

2577 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1082 -> 2577 [arrowhead = none ];
2577 -> 1083;

2578 [label="EVAL with clause\nquot(0, s(X3328), s(X3329), X3330) :- ','(!_234, eq(X3330, 0)).\nand substitutionT948 -> 0,\nX3328 -> s(s(s(s(0)))),\nX3329 -> s(s(s(s(s(s(0)))))),\nT950 -> T957,\nX3330 -> T957,\nT956 -> T957", fontsize=14, style = filled, fillcolor = lightblue];
1083 -> 2578 [arrowhead = none ];
2578 -> 1084;

2579 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1083 -> 2579 [arrowhead = none ];
2579 -> 1085;

2580 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1084 -> 2580 [arrowhead = none ];
2580 -> 1086;

2581 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1085 -> 2581 [arrowhead = none ];
2581 -> 1091;

2582 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1086 -> 2582 [arrowhead = none ];
2582 -> 1087;

2583 [label="EVAL with clause\neq(X3333, X3333).\nand substitutionT957 -> 0,\nX3333 -> 0,\nT960 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1087 -> 2583 [arrowhead = none ];
2583 -> 1088;

2584 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1087 -> 2584 [arrowhead = none ];
2584 -> 1089;

2585 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1088 -> 2585 [arrowhead = none ];
2585 -> 1090;

2586 [label="EVAL with clause\nquot(s(X3346), X3347, X3348, X3349) :- ','(p(X3347, X3350), quot(X3346, X3350, X3348, X3349)).\nand substitutionX3346 -> T966,\nT948 -> s(T966),\nX3347 -> s(s(s(s(s(0))))),\nX3348 -> s(s(s(s(s(s(s(0))))))),\nT950 -> T968,\nX3349 -> T968,\nT967 -> T968", fontsize=14, style = filled, fillcolor = lightblue];
1091 -> 2586 [arrowhead = none ];
2586 -> 1092;

2587 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1091 -> 2587 [arrowhead = none ];
2587 -> 1093;

2588 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1092 -> 2588 [arrowhead = none ];
2588 -> 1094;

2589 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1094 -> 2589 [arrowhead = none ];
2589 -> 1095;

2590 [label="ONLY EVAL with clause\np(s(X3360), X3360).\nand substitutionX3360 -> s(s(s(s(0)))),\nX3350 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
1095 -> 2590 [arrowhead = none ];
2590 -> 1096;

2591 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1096 -> 2591 [arrowhead = none ];
2591 -> 1097;

2592 [label="EVAL with clause\nquot(0, s(X3370), s(X3371), X3372) :- ','(!_237, eq(X3372, 0)).\nand substitutionT966 -> 0,\nX3370 -> s(s(s(0))),\nX3371 -> s(s(s(s(s(s(0)))))),\nT968 -> T975,\nX3372 -> T975,\nT974 -> T975", fontsize=14, style = filled, fillcolor = lightblue];
1097 -> 2592 [arrowhead = none ];
2592 -> 1098;

2593 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1097 -> 2593 [arrowhead = none ];
2593 -> 1099;

2594 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1098 -> 2594 [arrowhead = none ];
2594 -> 1100;

2595 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1099 -> 2595 [arrowhead = none ];
2595 -> 1105;

2596 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1100 -> 2596 [arrowhead = none ];
2596 -> 1101;

2597 [label="EVAL with clause\neq(X3375, X3375).\nand substitutionT975 -> 0,\nX3375 -> 0,\nT978 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1101 -> 2597 [arrowhead = none ];
2597 -> 1102;

2598 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1101 -> 2598 [arrowhead = none ];
2598 -> 1103;

2599 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1102 -> 2599 [arrowhead = none ];
2599 -> 1104;

2600 [label="EVAL with clause\nquot(s(X3388), X3389, X3390, X3391) :- ','(p(X3389, X3392), quot(X3388, X3392, X3390, X3391)).\nand substitutionX3388 -> T984,\nT966 -> s(T984),\nX3389 -> s(s(s(s(0)))),\nX3390 -> s(s(s(s(s(s(s(0))))))),\nT968 -> T986,\nX3391 -> T986,\nT985 -> T986", fontsize=14, style = filled, fillcolor = lightblue];
1105 -> 2600 [arrowhead = none ];
2600 -> 1106;

2601 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1105 -> 2601 [arrowhead = none ];
2601 -> 1107;

2602 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1106 -> 2602 [arrowhead = none ];
2602 -> 1108;

2603 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1108 -> 2603 [arrowhead = none ];
2603 -> 1109;

2604 [label="ONLY EVAL with clause\np(s(X3402), X3402).\nand substitutionX3402 -> s(s(s(0))),\nX3392 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
1109 -> 2604 [arrowhead = none ];
2604 -> 1110;

2605 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1110 -> 2605 [arrowhead = none ];
2605 -> 1111;

2606 [label="EVAL with clause\nquot(0, s(X3412), s(X3413), X3414) :- ','(!_240, eq(X3414, 0)).\nand substitutionT984 -> 0,\nX3412 -> s(s(0)),\nX3413 -> s(s(s(s(s(s(0)))))),\nT986 -> T993,\nX3414 -> T993,\nT992 -> T993", fontsize=14, style = filled, fillcolor = lightblue];
1111 -> 2606 [arrowhead = none ];
2606 -> 1112;

2607 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1111 -> 2607 [arrowhead = none ];
2607 -> 1113;

2608 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1112 -> 2608 [arrowhead = none ];
2608 -> 1114;

2609 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1113 -> 2609 [arrowhead = none ];
2609 -> 1119;

2610 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1114 -> 2610 [arrowhead = none ];
2610 -> 1115;

2611 [label="EVAL with clause\neq(X3417, X3417).\nand substitutionT993 -> 0,\nX3417 -> 0,\nT996 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1115 -> 2611 [arrowhead = none ];
2611 -> 1116;

2612 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1115 -> 2612 [arrowhead = none ];
2612 -> 1117;

2613 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1116 -> 2613 [arrowhead = none ];
2613 -> 1118;

2614 [label="EVAL with clause\nquot(s(X3430), X3431, X3432, X3433) :- ','(p(X3431, X3434), quot(X3430, X3434, X3432, X3433)).\nand substitutionX3430 -> T1002,\nT984 -> s(T1002),\nX3431 -> s(s(s(0))),\nX3432 -> s(s(s(s(s(s(s(0))))))),\nT986 -> T1004,\nX3433 -> T1004,\nT1003 -> T1004", fontsize=14, style = filled, fillcolor = lightblue];
1119 -> 2614 [arrowhead = none ];
2614 -> 1120;

2615 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1119 -> 2615 [arrowhead = none ];
2615 -> 1121;

2616 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1120 -> 2616 [arrowhead = none ];
2616 -> 1122;

2617 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1122 -> 2617 [arrowhead = none ];
2617 -> 1123;

2618 [label="ONLY EVAL with clause\np(s(X3444), X3444).\nand substitutionX3444 -> s(s(0)),\nX3434 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
1123 -> 2618 [arrowhead = none ];
2618 -> 1124;

2619 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1124 -> 2619 [arrowhead = none ];
2619 -> 1125;

2620 [label="EVAL with clause\nquot(0, s(X3454), s(X3455), X3456) :- ','(!_243, eq(X3456, 0)).\nand substitutionT1002 -> 0,\nX3454 -> s(0),\nX3455 -> s(s(s(s(s(s(0)))))),\nT1004 -> T1011,\nX3456 -> T1011,\nT1010 -> T1011", fontsize=14, style = filled, fillcolor = lightblue];
1125 -> 2620 [arrowhead = none ];
2620 -> 1126;

2621 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1125 -> 2621 [arrowhead = none ];
2621 -> 1127;

2622 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1126 -> 2622 [arrowhead = none ];
2622 -> 1128;

2623 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1127 -> 2623 [arrowhead = none ];
2623 -> 1133;

2624 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1128 -> 2624 [arrowhead = none ];
2624 -> 1129;

2625 [label="EVAL with clause\neq(X3459, X3459).\nand substitutionT1011 -> 0,\nX3459 -> 0,\nT1014 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1129 -> 2625 [arrowhead = none ];
2625 -> 1130;

2626 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1129 -> 2626 [arrowhead = none ];
2626 -> 1131;

2627 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1130 -> 2627 [arrowhead = none ];
2627 -> 1132;

2628 [label="EVAL with clause\nquot(s(X3472), X3473, X3474, X3475) :- ','(p(X3473, X3476), quot(X3472, X3476, X3474, X3475)).\nand substitutionX3472 -> T1020,\nT1002 -> s(T1020),\nX3473 -> s(s(0)),\nX3474 -> s(s(s(s(s(s(s(0))))))),\nT1004 -> T1022,\nX3475 -> T1022,\nT1021 -> T1022", fontsize=14, style = filled, fillcolor = lightblue];
1133 -> 2628 [arrowhead = none ];
2628 -> 1134;

2629 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1133 -> 2629 [arrowhead = none ];
2629 -> 1135;

2630 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1134 -> 2630 [arrowhead = none ];
2630 -> 1136;

2631 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1136 -> 2631 [arrowhead = none ];
2631 -> 1137;

2632 [label="ONLY EVAL with clause\np(s(X3486), X3486).\nand substitutionX3486 -> s(0),\nX3476 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
1137 -> 2632 [arrowhead = none ];
2632 -> 1138;

2633 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1138 -> 2633 [arrowhead = none ];
2633 -> 1139;

2634 [label="EVAL with clause\nquot(0, s(X3496), s(X3497), X3498) :- ','(!_246, eq(X3498, 0)).\nand substitutionT1020 -> 0,\nX3496 -> 0,\nX3497 -> s(s(s(s(s(s(0)))))),\nT1022 -> T1029,\nX3498 -> T1029,\nT1028 -> T1029", fontsize=14, style = filled, fillcolor = lightblue];
1139 -> 2634 [arrowhead = none ];
2634 -> 1140;

2635 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1139 -> 2635 [arrowhead = none ];
2635 -> 1141;

2636 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1140 -> 2636 [arrowhead = none ];
2636 -> 1142;

2637 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1141 -> 2637 [arrowhead = none ];
2637 -> 1147;

2638 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1142 -> 2638 [arrowhead = none ];
2638 -> 1143;

2639 [label="EVAL with clause\neq(X3501, X3501).\nand substitutionT1029 -> 0,\nX3501 -> 0,\nT1032 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1143 -> 2639 [arrowhead = none ];
2639 -> 1144;

2640 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1143 -> 2640 [arrowhead = none ];
2640 -> 1145;

2641 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1144 -> 2641 [arrowhead = none ];
2641 -> 1146;

2642 [label="EVAL with clause\nquot(s(X3514), X3515, X3516, X3517) :- ','(p(X3515, X3518), quot(X3514, X3518, X3516, X3517)).\nand substitutionX3514 -> T1038,\nT1020 -> s(T1038),\nX3515 -> s(0),\nX3516 -> s(s(s(s(s(s(s(0))))))),\nT1022 -> T1040,\nX3517 -> T1040,\nT1039 -> T1040", fontsize=14, style = filled, fillcolor = lightblue];
1147 -> 2642 [arrowhead = none ];
2642 -> 1148;

2643 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1147 -> 2643 [arrowhead = none ];
2643 -> 1149;

2644 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1148 -> 2644 [arrowhead = none ];
2644 -> 1150;

2645 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1150 -> 2645 [arrowhead = none ];
2645 -> 1151;

2646 [label="ONLY EVAL with clause\np(s(X3528), X3528).\nand substitutionX3528 -> 0,\nX3518 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1151 -> 2646 [arrowhead = none ];
2646 -> 1152;

2647 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1152 -> 2647 [arrowhead = none ];
2647 -> 1153;

2648 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1153 -> 2648 [arrowhead = none ];
2648 -> 1154;

2649 [label="ONLY EVAL with clause\nquot(X3543, 0, X3544, X3545) :- ','(!_249, ','(eq(X3544, s(X3546)), ','(p(X3545, X3547), quot(X3543, X3544, X3544, X3547)))).\nand substitutionT1038 -> T1047,\nX3543 -> T1047,\nX3544 -> s(s(s(s(s(s(s(0))))))),\nT1040 -> T1049,\nX3545 -> T1049,\nT1048 -> T1049", fontsize=14, style = filled, fillcolor = lightblue];
1154 -> 2649 [arrowhead = none ];
2649 -> 1155;

2650 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1155 -> 2650 [arrowhead = none ];
2650 -> 1156;

2651 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1156 -> 2651 [arrowhead = none ];
2651 -> 1157;

2652 [label="ONLY EVAL with clause\neq(X3558, X3558).\nand substitutionX3558 -> s(s(s(s(s(s(s(0))))))),\nX3546 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
1157 -> 2652 [arrowhead = none ];
2652 -> 1158;

2653 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1158 -> 2653 [arrowhead = none ];
2653 -> 1159;

2654 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1159 -> 2654 [arrowhead = none ];
2654 -> 1160;

2655 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1159 -> 2655 [arrowhead = none ];
2655 -> 1161;

2656 [label="EVAL with clause\np(0, 0).\nand substitutionT1049 -> 0,\nX3547 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1160 -> 2656 [arrowhead = none ];
2656 -> 1162;

2657 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1160 -> 2657 [arrowhead = none ];
2657 -> 1163;

2658 [label="EVAL with clause\np(s(X3568), X3568).\nand substitutionX3568 -> T1053,\nT1049 -> s(T1053),\nX3547 -> T1053,\nT1052 -> T1053", fontsize=14, style = filled, fillcolor = lightblue];
1161 -> 2658 [arrowhead = none ];
2658 -> 1164;

2659 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1161 -> 2659 [arrowhead = none ];
2659 -> 1165;

2660 [label="INSTANCE with matching:\nT879 -> T1047", fontsize=14, style = filled, fillcolor = lightgrey];
1162 -> 2660 [arrowhead = none , style=dashed];
2660 -> 949[style=dashed];

2661 [label="INSTANCE with matching:\nT879 -> T1047\nT916 -> T1053", fontsize=14, style = filled, fillcolor = lightgrey];
1164 -> 2661 [arrowhead = none , style=dashed];
2661 -> 1053[style=dashed];

2662 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1166 -> 2662 [arrowhead = none ];
2662 -> 1168;

2663 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1168 -> 2663 [arrowhead = none ];
2663 -> 1169;

2664 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1168 -> 2664 [arrowhead = none ];
2664 -> 1170;

2665 [label="EVAL with clause\np(0, 0).\nand substitutionT1062 -> 0,\nX3585 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1169 -> 2665 [arrowhead = none ];
2665 -> 1171;

2666 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1169 -> 2666 [arrowhead = none ];
2666 -> 1172;

2667 [label="EVAL with clause\np(s(X3595), X3595).\nand substitutionX3595 -> T1069,\nT1062 -> s(T1069),\nX3585 -> T1069", fontsize=14, style = filled, fillcolor = lightblue];
1170 -> 2667 [arrowhead = none ];
2667 -> 1173;

2668 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1170 -> 2668 [arrowhead = none ];
2668 -> 1174;

2669 [label="INSTANCE with matching:\nT1038 -> T1061\nT1040 -> T1064", fontsize=14, style = filled, fillcolor = lightgrey];
1171 -> 2669 [arrowhead = none , style=dashed];
2669 -> 1152[style=dashed];

2670 [label="GENERALIZATION\nT1072 <-- s(s(s(s(s(s(s(T1069)))))))\n\nNew Knowledge:\nT1072 is ground", fontsize=14, style = filled, fillcolor = violet];
1173 -> 2670 [arrowhead = none ];
2670 -> 1175;

2671 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1175 -> 2671 [arrowhead = none ];
2671 -> 1176;

2672 [label="EVAL with clause\nquot(0, s(X3608), s(X3609), X3610) :- ','(!_253, eq(X3610, 0)).\nand substitutionT1061 -> 0,\nX3608 -> T1082,\nT1069 -> s(T1082),\nT1072 -> T1083,\nX3609 -> T1083,\nT1064 -> T1085,\nX3610 -> T1085,\nT1084 -> T1085", fontsize=14, style = filled, fillcolor = lightblue];
1176 -> 2672 [arrowhead = none ];
2672 -> 1177;

2673 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1176 -> 2673 [arrowhead = none ];
2673 -> 1178;

2674 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1177 -> 2674 [arrowhead = none ];
2674 -> 1179;

2675 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1178 -> 2675 [arrowhead = none ];
2675 -> 1184;

2676 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1178 -> 2676 [arrowhead = none ];
2676 -> 1185;

2677 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1179 -> 2677 [arrowhead = none ];
2677 -> 1180;

2678 [label="EVAL with clause\neq(X3613, X3613).\nand substitutionT1085 -> 0,\nX3613 -> 0,\nT1088 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1180 -> 2678 [arrowhead = none ];
2678 -> 1181;

2679 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1180 -> 2679 [arrowhead = none ];
2679 -> 1182;

2680 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1181 -> 2680 [arrowhead = none ];
2680 -> 1183;

2681 [label="EVAL with clause\nquot(X3630, 0, X3631, X3632) :- ','(!_253, ','(eq(X3631, s(X3633)), ','(p(X3632, X3634), quot(X3630, X3631, X3631, X3634)))).\nand substitutionT1061 -> T1101,\nX3630 -> T1101,\nT1069 -> 0,\nT1072 -> T1102,\nX3631 -> s(T1102),\nT1064 -> T1104,\nX3632 -> T1104,\nT1103 -> T1104", fontsize=14, style = filled, fillcolor = lightblue];
1184 -> 2681 [arrowhead = none ];
2681 -> 1186;

2682 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1184 -> 2682 [arrowhead = none ];
2682 -> 1187;

2683 [label="EVAL with clause\nquot(s(X4434), X4435, X4436, X4437) :- ','(p(X4435, X4438), quot(X4434, X4438, X4436, X4437)).\nand substitutionX4434 -> T1333,\nT1061 -> s(T1333),\nT1069 -> T1334,\nX4435 -> T1334,\nT1072 -> T1335,\nX4436 -> s(T1335),\nT1064 -> T1337,\nX4437 -> T1337,\nT1336 -> T1337", fontsize=14, style = filled, fillcolor = lightblue];
1185 -> 2683 [arrowhead = none ];
2683 -> 1447;

2684 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1185 -> 2684 [arrowhead = none ];
2684 -> 1448;

2685 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1186 -> 2685 [arrowhead = none ];
2685 -> 1188;

2686 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1188 -> 2686 [arrowhead = none ];
2686 -> 1189;

2687 [label="ONLY EVAL with clause\neq(X3645, X3645).\nand substitutionT1102 -> T1109,\nX3645 -> s(T1109),\nX3633 -> T1109", fontsize=14, style = filled, fillcolor = lightblue];
1189 -> 2687 [arrowhead = none ];
2687 -> 1190;

2688 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1190 -> 2688 [arrowhead = none ];
2688 -> 1191;

2689 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1191 -> 2689 [arrowhead = none ];
2689 -> 1192;

2690 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1191 -> 2690 [arrowhead = none ];
2690 -> 1193;

2691 [label="EVAL with clause\np(0, 0).\nand substitutionT1104 -> 0,\nX3634 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1192 -> 2691 [arrowhead = none ];
2691 -> 1194;

2692 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1192 -> 2692 [arrowhead = none ];
2692 -> 1195;

2693 [label="EVAL with clause\np(s(X4421), X4421).\nand substitutionX4421 -> T1322,\nT1104 -> s(T1322),\nX3634 -> T1322,\nT1321 -> T1322", fontsize=14, style = filled, fillcolor = lightblue];
1193 -> 2693 [arrowhead = none ];
2693 -> 1445;

2694 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1193 -> 2694 [arrowhead = none ];
2694 -> 1446;

2695 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1194 -> 2695 [arrowhead = none ];
2695 -> 1196;

2696 [label="EVAL with clause\nquot(0, s(X3659), s(X3660), X3661) :- ','(!_257, eq(X3661, 0)).\nand substitutionT1101 -> 0,\nT1109 -> T1114,\nX3659 -> T1114,\nX3660 -> T1114,\nX3661 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1196 -> 2696 [arrowhead = none ];
2696 -> 1197;

2697 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1196 -> 2697 [arrowhead = none ];
2697 -> 1198;

2698 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1197 -> 2698 [arrowhead = none ];
2698 -> 1199;

2699 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1198 -> 2699 [arrowhead = none ];
2699 -> 1203;

2700 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1199 -> 2700 [arrowhead = none ];
2700 -> 1200;

2701 [label="ONLY EVAL with clause\neq(X3664, X3664).\nand substitutionX3664 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1200 -> 2701 [arrowhead = none ];
2701 -> 1201;

2702 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1201 -> 2702 [arrowhead = none ];
2702 -> 1202;

2703 [label="EVAL with clause\nquot(s(X3677), X3678, X3679, X3680) :- ','(p(X3678, X3681), quot(X3677, X3681, X3679, X3680)).\nand substitutionX3677 -> T1120,\nT1101 -> s(T1120),\nT1109 -> T1121,\nX3678 -> s(T1121),\nX3679 -> s(T1121),\nX3680 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1203 -> 2703 [arrowhead = none ];
2703 -> 1204;

2704 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1203 -> 2704 [arrowhead = none ];
2704 -> 1205;

2705 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1204 -> 2705 [arrowhead = none ];
2705 -> 1206;

2706 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1206 -> 2706 [arrowhead = none ];
2706 -> 1207;

2707 [label="ONLY EVAL with clause\np(s(X3691), X3691).\nand substitutionT1121 -> T1126,\nX3691 -> T1126,\nX3681 -> T1126", fontsize=14, style = filled, fillcolor = lightblue];
1207 -> 2707 [arrowhead = none ];
2707 -> 1208;

2708 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1208 -> 2708 [arrowhead = none ];
2708 -> 1209;

2709 [label="EVAL with clause\nquot(0, s(X3701), s(X3702), X3703) :- ','(!_260, eq(X3703, 0)).\nand substitutionT1120 -> 0,\nX3701 -> T1130,\nT1126 -> s(T1130),\nX3702 -> s(T1130),\nX3703 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1209 -> 2709 [arrowhead = none ];
2709 -> 1210;

2710 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1209 -> 2710 [arrowhead = none ];
2710 -> 1211;

2711 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1210 -> 2711 [arrowhead = none ];
2711 -> 1212;

2712 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1211 -> 2712 [arrowhead = none ];
2712 -> 1216;

2713 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1211 -> 2713 [arrowhead = none ];
2713 -> 1217;

2714 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1212 -> 2714 [arrowhead = none ];
2714 -> 1213;

2715 [label="ONLY EVAL with clause\neq(X3706, X3706).\nand substitutionX3706 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1213 -> 2715 [arrowhead = none ];
2715 -> 1214;

2716 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1214 -> 2716 [arrowhead = none ];
2716 -> 1215;

2717 [label="EVAL with clause\nquot(X3723, 0, X3724, X3725) :- ','(!_260, ','(eq(X3724, s(X3726)), ','(p(X3725, X3727), quot(X3723, X3724, X3724, X3727)))).\nand substitutionT1120 -> T1135,\nX3723 -> T1135,\nT1126 -> 0,\nX3724 -> s(0),\nX3725 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1216 -> 2717 [arrowhead = none ];
2717 -> 1218;

2718 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1216 -> 2718 [arrowhead = none ];
2718 -> 1219;

2719 [label="EVAL with clause\nquot(s(X3762), X3763, X3764, X3765) :- ','(p(X3763, X3766), quot(X3762, X3766, X3764, X3765)).\nand substitutionX3762 -> T1140,\nT1120 -> s(T1140),\nT1126 -> T1141,\nX3763 -> T1141,\nX3764 -> s(T1141),\nX3765 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1217 -> 2719 [arrowhead = none ];
2719 -> 1228;

2720 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1217 -> 2720 [arrowhead = none ];
2720 -> 1229;

2721 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1218 -> 2721 [arrowhead = none ];
2721 -> 1220;

2722 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1220 -> 2722 [arrowhead = none ];
2722 -> 1221;

2723 [label="ONLY EVAL with clause\neq(X3738, X3738).\nand substitutionX3738 -> s(0),\nX3726 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1221 -> 2723 [arrowhead = none ];
2723 -> 1222;

2724 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1222 -> 2724 [arrowhead = none ];
2724 -> 1223;

2725 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1223 -> 2725 [arrowhead = none ];
2725 -> 1224;

2726 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1223 -> 2726 [arrowhead = none ];
2726 -> 1225;

2727 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX3727 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1224 -> 2727 [arrowhead = none ];
2727 -> 1226;

2728 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1225 -> 2728 [arrowhead = none ];
2728 -> 1227;

2729 [label="INSTANCE with matching:\nT75 -> T1135", fontsize=14, style = filled, fillcolor = lightgrey];
1226 -> 2729 [arrowhead = none , style=dashed];
2729 -> 52[style=dashed];

2730 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1228 -> 2730 [arrowhead = none ];
2730 -> 1230;

2731 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1230 -> 2731 [arrowhead = none ];
2731 -> 1231;

2732 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1230 -> 2732 [arrowhead = none ];
2732 -> 1232;

2733 [label="EVAL with clause\np(0, 0).\nand substitutionT1141 -> 0,\nX3766 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1231 -> 2733 [arrowhead = none ];
2733 -> 1233;

2734 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1231 -> 2734 [arrowhead = none ];
2734 -> 1234;

2735 [label="EVAL with clause\np(s(X3776), X3776).\nand substitutionX3776 -> T1145,\nT1141 -> s(T1145),\nX3766 -> T1145", fontsize=14, style = filled, fillcolor = lightblue];
1232 -> 2735 [arrowhead = none ];
2735 -> 1235;

2736 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1232 -> 2736 [arrowhead = none ];
2736 -> 1236;

2737 [label="INSTANCE with matching:\nT81 -> T1140", fontsize=14, style = filled, fillcolor = lightgrey];
1233 -> 2737 [arrowhead = none , style=dashed];
2737 -> 66[style=dashed];

2738 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1235 -> 2738 [arrowhead = none ];
2738 -> 1237;

2739 [label="EVAL with clause\nquot(0, s(X3786), s(X3787), X3788) :- ','(!_265, eq(X3788, 0)).\nand substitutionT1140 -> 0,\nX3786 -> T1149,\nT1145 -> s(T1149),\nX3787 -> s(s(T1149)),\nX3788 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1237 -> 2739 [arrowhead = none ];
2739 -> 1238;

2740 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1237 -> 2740 [arrowhead = none ];
2740 -> 1239;

2741 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1238 -> 2741 [arrowhead = none ];
2741 -> 1240;

2742 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1239 -> 2742 [arrowhead = none ];
2742 -> 1244;

2743 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1239 -> 2743 [arrowhead = none ];
2743 -> 1245;

2744 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1240 -> 2744 [arrowhead = none ];
2744 -> 1241;

2745 [label="ONLY EVAL with clause\neq(X3791, X3791).\nand substitutionX3791 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1241 -> 2745 [arrowhead = none ];
2745 -> 1242;

2746 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1242 -> 2746 [arrowhead = none ];
2746 -> 1243;

2747 [label="EVAL with clause\nquot(X3808, 0, X3809, X3810) :- ','(!_265, ','(eq(X3809, s(X3811)), ','(p(X3810, X3812), quot(X3808, X3809, X3809, X3812)))).\nand substitutionT1140 -> T1154,\nX3808 -> T1154,\nT1145 -> 0,\nX3809 -> s(s(0)),\nX3810 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1244 -> 2747 [arrowhead = none ];
2747 -> 1246;

2748 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1244 -> 2748 [arrowhead = none ];
2748 -> 1247;

2749 [label="EVAL with clause\nquot(s(X3847), X3848, X3849, X3850) :- ','(p(X3848, X3851), quot(X3847, X3851, X3849, X3850)).\nand substitutionX3847 -> T1159,\nT1140 -> s(T1159),\nT1145 -> T1160,\nX3848 -> T1160,\nX3849 -> s(s(T1160)),\nX3850 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1245 -> 2749 [arrowhead = none ];
2749 -> 1256;

2750 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1245 -> 2750 [arrowhead = none ];
2750 -> 1257;

2751 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1246 -> 2751 [arrowhead = none ];
2751 -> 1248;

2752 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1248 -> 2752 [arrowhead = none ];
2752 -> 1249;

2753 [label="ONLY EVAL with clause\neq(X3823, X3823).\nand substitutionX3823 -> s(s(0)),\nX3811 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
1249 -> 2753 [arrowhead = none ];
2753 -> 1250;

2754 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1250 -> 2754 [arrowhead = none ];
2754 -> 1251;

2755 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1251 -> 2755 [arrowhead = none ];
2755 -> 1252;

2756 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1251 -> 2756 [arrowhead = none ];
2756 -> 1253;

2757 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX3812 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1252 -> 2757 [arrowhead = none ];
2757 -> 1254;

2758 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1253 -> 2758 [arrowhead = none ];
2758 -> 1255;

2759 [label="INSTANCE with matching:\nT154 -> T1154", fontsize=14, style = filled, fillcolor = lightgrey];
1254 -> 2759 [arrowhead = none , style=dashed];
2759 -> 134[style=dashed];

2760 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1256 -> 2760 [arrowhead = none ];
2760 -> 1258;

2761 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1258 -> 2761 [arrowhead = none ];
2761 -> 1259;

2762 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1258 -> 2762 [arrowhead = none ];
2762 -> 1260;

2763 [label="EVAL with clause\np(0, 0).\nand substitutionT1160 -> 0,\nX3851 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1259 -> 2763 [arrowhead = none ];
2763 -> 1261;

2764 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1259 -> 2764 [arrowhead = none ];
2764 -> 1262;

2765 [label="EVAL with clause\np(s(X3861), X3861).\nand substitutionX3861 -> T1164,\nT1160 -> s(T1164),\nX3851 -> T1164", fontsize=14, style = filled, fillcolor = lightblue];
1260 -> 2765 [arrowhead = none ];
2765 -> 1263;

2766 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1260 -> 2766 [arrowhead = none ];
2766 -> 1264;

2767 [label="INSTANCE with matching:\nT164 -> T1159", fontsize=14, style = filled, fillcolor = lightgrey];
1261 -> 2767 [arrowhead = none , style=dashed];
2767 -> 161[style=dashed];

2768 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1263 -> 2768 [arrowhead = none ];
2768 -> 1265;

2769 [label="EVAL with clause\nquot(0, s(X3871), s(X3872), X3873) :- ','(!_270, eq(X3873, 0)).\nand substitutionT1159 -> 0,\nX3871 -> T1168,\nT1164 -> s(T1168),\nX3872 -> s(s(s(T1168))),\nX3873 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1265 -> 2769 [arrowhead = none ];
2769 -> 1266;

2770 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1265 -> 2770 [arrowhead = none ];
2770 -> 1267;

2771 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1266 -> 2771 [arrowhead = none ];
2771 -> 1268;

2772 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1267 -> 2772 [arrowhead = none ];
2772 -> 1272;

2773 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1267 -> 2773 [arrowhead = none ];
2773 -> 1273;

2774 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1268 -> 2774 [arrowhead = none ];
2774 -> 1269;

2775 [label="ONLY EVAL with clause\neq(X3876, X3876).\nand substitutionX3876 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1269 -> 2775 [arrowhead = none ];
2775 -> 1270;

2776 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1270 -> 2776 [arrowhead = none ];
2776 -> 1271;

2777 [label="EVAL with clause\nquot(X3893, 0, X3894, X3895) :- ','(!_270, ','(eq(X3894, s(X3896)), ','(p(X3895, X3897), quot(X3893, X3894, X3894, X3897)))).\nand substitutionT1159 -> T1173,\nX3893 -> T1173,\nT1164 -> 0,\nX3894 -> s(s(s(0))),\nX3895 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1272 -> 2777 [arrowhead = none ];
2777 -> 1274;

2778 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1272 -> 2778 [arrowhead = none ];
2778 -> 1275;

2779 [label="EVAL with clause\nquot(s(X3932), X3933, X3934, X3935) :- ','(p(X3933, X3936), quot(X3932, X3936, X3934, X3935)).\nand substitutionX3932 -> T1178,\nT1159 -> s(T1178),\nT1164 -> T1179,\nX3933 -> T1179,\nX3934 -> s(s(s(T1179))),\nX3935 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1273 -> 2779 [arrowhead = none ];
2779 -> 1284;

2780 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1273 -> 2780 [arrowhead = none ];
2780 -> 1285;

2781 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1274 -> 2781 [arrowhead = none ];
2781 -> 1276;

2782 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1276 -> 2782 [arrowhead = none ];
2782 -> 1277;

2783 [label="ONLY EVAL with clause\neq(X3908, X3908).\nand substitutionX3908 -> s(s(s(0))),\nX3896 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
1277 -> 2783 [arrowhead = none ];
2783 -> 1278;

2784 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1278 -> 2784 [arrowhead = none ];
2784 -> 1279;

2785 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1279 -> 2785 [arrowhead = none ];
2785 -> 1280;

2786 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1279 -> 2786 [arrowhead = none ];
2786 -> 1281;

2787 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX3897 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1280 -> 2787 [arrowhead = none ];
2787 -> 1282;

2788 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1281 -> 2788 [arrowhead = none ];
2788 -> 1283;

2789 [label="INSTANCE with matching:\nT255 -> T1173", fontsize=14, style = filled, fillcolor = lightgrey];
1282 -> 2789 [arrowhead = none , style=dashed];
2789 -> 243[style=dashed];

2790 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1284 -> 2790 [arrowhead = none ];
2790 -> 1286;

2791 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1286 -> 2791 [arrowhead = none ];
2791 -> 1287;

2792 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1286 -> 2792 [arrowhead = none ];
2792 -> 1288;

2793 [label="EVAL with clause\np(0, 0).\nand substitutionT1179 -> 0,\nX3936 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1287 -> 2793 [arrowhead = none ];
2793 -> 1289;

2794 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1287 -> 2794 [arrowhead = none ];
2794 -> 1290;

2795 [label="EVAL with clause\np(s(X3946), X3946).\nand substitutionX3946 -> T1183,\nT1179 -> s(T1183),\nX3936 -> T1183", fontsize=14, style = filled, fillcolor = lightblue];
1288 -> 2795 [arrowhead = none ];
2795 -> 1291;

2796 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1288 -> 2796 [arrowhead = none ];
2796 -> 1292;

2797 [label="INSTANCE with matching:\nT269 -> T1178", fontsize=14, style = filled, fillcolor = lightgrey];
1289 -> 2797 [arrowhead = none , style=dashed];
2797 -> 283[style=dashed];

2798 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1291 -> 2798 [arrowhead = none ];
2798 -> 1293;

2799 [label="EVAL with clause\nquot(0, s(X3956), s(X3957), X3958) :- ','(!_275, eq(X3958, 0)).\nand substitutionT1178 -> 0,\nX3956 -> T1187,\nT1183 -> s(T1187),\nX3957 -> s(s(s(s(T1187)))),\nX3958 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1293 -> 2799 [arrowhead = none ];
2799 -> 1294;

2800 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1293 -> 2800 [arrowhead = none ];
2800 -> 1295;

2801 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1294 -> 2801 [arrowhead = none ];
2801 -> 1296;

2802 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1295 -> 2802 [arrowhead = none ];
2802 -> 1300;

2803 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1295 -> 2803 [arrowhead = none ];
2803 -> 1301;

2804 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1296 -> 2804 [arrowhead = none ];
2804 -> 1297;

2805 [label="ONLY EVAL with clause\neq(X3961, X3961).\nand substitutionX3961 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1297 -> 2805 [arrowhead = none ];
2805 -> 1298;

2806 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1298 -> 2806 [arrowhead = none ];
2806 -> 1299;

2807 [label="EVAL with clause\nquot(X3978, 0, X3979, X3980) :- ','(!_275, ','(eq(X3979, s(X3981)), ','(p(X3980, X3982), quot(X3978, X3979, X3979, X3982)))).\nand substitutionT1178 -> T1192,\nX3978 -> T1192,\nT1183 -> 0,\nX3979 -> s(s(s(s(0)))),\nX3980 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1300 -> 2807 [arrowhead = none ];
2807 -> 1302;

2808 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1300 -> 2808 [arrowhead = none ];
2808 -> 1303;

2809 [label="EVAL with clause\nquot(s(X4017), X4018, X4019, X4020) :- ','(p(X4018, X4021), quot(X4017, X4021, X4019, X4020)).\nand substitutionX4017 -> T1197,\nT1178 -> s(T1197),\nT1183 -> T1198,\nX4018 -> T1198,\nX4019 -> s(s(s(s(T1198)))),\nX4020 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1301 -> 2809 [arrowhead = none ];
2809 -> 1312;

2810 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1301 -> 2810 [arrowhead = none ];
2810 -> 1313;

2811 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1302 -> 2811 [arrowhead = none ];
2811 -> 1304;

2812 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1304 -> 2812 [arrowhead = none ];
2812 -> 1305;

2813 [label="ONLY EVAL with clause\neq(X3993, X3993).\nand substitutionX3993 -> s(s(s(s(0)))),\nX3981 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
1305 -> 2813 [arrowhead = none ];
2813 -> 1306;

2814 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1306 -> 2814 [arrowhead = none ];
2814 -> 1307;

2815 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1307 -> 2815 [arrowhead = none ];
2815 -> 1308;

2816 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1307 -> 2816 [arrowhead = none ];
2816 -> 1309;

2817 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX3982 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1308 -> 2817 [arrowhead = none ];
2817 -> 1310;

2818 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1309 -> 2818 [arrowhead = none ];
2818 -> 1311;

2819 [label="INSTANCE with matching:\nT378 -> T1192", fontsize=14, style = filled, fillcolor = lightgrey];
1310 -> 2819 [arrowhead = none , style=dashed];
2819 -> 379[style=dashed];

2820 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1312 -> 2820 [arrowhead = none ];
2820 -> 1314;

2821 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1314 -> 2821 [arrowhead = none ];
2821 -> 1315;

2822 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1314 -> 2822 [arrowhead = none ];
2822 -> 1316;

2823 [label="EVAL with clause\np(0, 0).\nand substitutionT1198 -> 0,\nX4021 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1315 -> 2823 [arrowhead = none ];
2823 -> 1317;

2824 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1315 -> 2824 [arrowhead = none ];
2824 -> 1318;

2825 [label="EVAL with clause\np(s(X4031), X4031).\nand substitutionX4031 -> T1202,\nT1198 -> s(T1202),\nX4021 -> T1202", fontsize=14, style = filled, fillcolor = lightblue];
1316 -> 2825 [arrowhead = none ];
2825 -> 1319;

2826 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1316 -> 2826 [arrowhead = none ];
2826 -> 1320;

2827 [label="INSTANCE with matching:\nT396 -> T1197", fontsize=14, style = filled, fillcolor = lightgrey];
1317 -> 2827 [arrowhead = none , style=dashed];
2827 -> 432[style=dashed];

2828 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1319 -> 2828 [arrowhead = none ];
2828 -> 1321;

2829 [label="EVAL with clause\nquot(0, s(X4041), s(X4042), X4043) :- ','(!_280, eq(X4043, 0)).\nand substitutionT1197 -> 0,\nX4041 -> T1206,\nT1202 -> s(T1206),\nX4042 -> s(s(s(s(s(T1206))))),\nX4043 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1321 -> 2829 [arrowhead = none ];
2829 -> 1322;

2830 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1321 -> 2830 [arrowhead = none ];
2830 -> 1323;

2831 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1322 -> 2831 [arrowhead = none ];
2831 -> 1324;

2832 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1323 -> 2832 [arrowhead = none ];
2832 -> 1328;

2833 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1323 -> 2833 [arrowhead = none ];
2833 -> 1329;

2834 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1324 -> 2834 [arrowhead = none ];
2834 -> 1325;

2835 [label="ONLY EVAL with clause\neq(X4046, X4046).\nand substitutionX4046 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1325 -> 2835 [arrowhead = none ];
2835 -> 1326;

2836 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1326 -> 2836 [arrowhead = none ];
2836 -> 1327;

2837 [label="EVAL with clause\nquot(X4063, 0, X4064, X4065) :- ','(!_280, ','(eq(X4064, s(X4066)), ','(p(X4065, X4067), quot(X4063, X4064, X4064, X4067)))).\nand substitutionT1197 -> T1211,\nX4063 -> T1211,\nT1202 -> 0,\nX4064 -> s(s(s(s(s(0))))),\nX4065 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1328 -> 2837 [arrowhead = none ];
2837 -> 1330;

2838 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1328 -> 2838 [arrowhead = none ];
2838 -> 1331;

2839 [label="EVAL with clause\nquot(s(X4102), X4103, X4104, X4105) :- ','(p(X4103, X4106), quot(X4102, X4106, X4104, X4105)).\nand substitutionX4102 -> T1216,\nT1197 -> s(T1216),\nT1202 -> T1217,\nX4103 -> T1217,\nX4104 -> s(s(s(s(s(T1217))))),\nX4105 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1329 -> 2839 [arrowhead = none ];
2839 -> 1340;

2840 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1329 -> 2840 [arrowhead = none ];
2840 -> 1341;

2841 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1330 -> 2841 [arrowhead = none ];
2841 -> 1332;

2842 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1332 -> 2842 [arrowhead = none ];
2842 -> 1333;

2843 [label="ONLY EVAL with clause\neq(X4078, X4078).\nand substitutionX4078 -> s(s(s(s(s(0))))),\nX4066 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
1333 -> 2843 [arrowhead = none ];
2843 -> 1334;

2844 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1334 -> 2844 [arrowhead = none ];
2844 -> 1335;

2845 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1335 -> 2845 [arrowhead = none ];
2845 -> 1336;

2846 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1335 -> 2846 [arrowhead = none ];
2846 -> 1337;

2847 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX4067 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1336 -> 2847 [arrowhead = none ];
2847 -> 1338;

2848 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1337 -> 2848 [arrowhead = none ];
2848 -> 1339;

2849 [label="INSTANCE with matching:\nT523 -> T1211", fontsize=14, style = filled, fillcolor = lightgrey];
1338 -> 2849 [arrowhead = none , style=dashed];
2849 -> 542[style=dashed];

2850 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1340 -> 2850 [arrowhead = none ];
2850 -> 1342;

2851 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1342 -> 2851 [arrowhead = none ];
2851 -> 1343;

2852 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1342 -> 2852 [arrowhead = none ];
2852 -> 1344;

2853 [label="EVAL with clause\np(0, 0).\nand substitutionT1217 -> 0,\nX4106 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1343 -> 2853 [arrowhead = none ];
2853 -> 1345;

2854 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1343 -> 2854 [arrowhead = none ];
2854 -> 1346;

2855 [label="EVAL with clause\np(s(X4116), X4116).\nand substitutionX4116 -> T1221,\nT1217 -> s(T1221),\nX4106 -> T1221", fontsize=14, style = filled, fillcolor = lightblue];
1344 -> 2855 [arrowhead = none ];
2855 -> 1347;

2856 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1344 -> 2856 [arrowhead = none ];
2856 -> 1348;

2857 [label="INSTANCE with matching:\nT545 -> T1216", fontsize=14, style = filled, fillcolor = lightgrey];
1345 -> 2857 [arrowhead = none , style=dashed];
2857 -> 608[style=dashed];

2858 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1347 -> 2858 [arrowhead = none ];
2858 -> 1349;

2859 [label="EVAL with clause\nquot(0, s(X4126), s(X4127), X4128) :- ','(!_285, eq(X4128, 0)).\nand substitutionT1216 -> 0,\nX4126 -> T1225,\nT1221 -> s(T1225),\nX4127 -> s(s(s(s(s(s(T1225)))))),\nX4128 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1349 -> 2859 [arrowhead = none ];
2859 -> 1350;

2860 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1349 -> 2860 [arrowhead = none ];
2860 -> 1351;

2861 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1350 -> 2861 [arrowhead = none ];
2861 -> 1352;

2862 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1351 -> 2862 [arrowhead = none ];
2862 -> 1356;

2863 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1351 -> 2863 [arrowhead = none ];
2863 -> 1357;

2864 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1352 -> 2864 [arrowhead = none ];
2864 -> 1353;

2865 [label="ONLY EVAL with clause\neq(X4131, X4131).\nand substitutionX4131 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1353 -> 2865 [arrowhead = none ];
2865 -> 1354;

2866 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1354 -> 2866 [arrowhead = none ];
2866 -> 1355;

2867 [label="EVAL with clause\nquot(X4148, 0, X4149, X4150) :- ','(!_285, ','(eq(X4149, s(X4151)), ','(p(X4150, X4152), quot(X4148, X4149, X4149, X4152)))).\nand substitutionT1216 -> T1230,\nX4148 -> T1230,\nT1221 -> 0,\nX4149 -> s(s(s(s(s(s(0)))))),\nX4150 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1356 -> 2867 [arrowhead = none ];
2867 -> 1358;

2868 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1356 -> 2868 [arrowhead = none ];
2868 -> 1359;

2869 [label="EVAL with clause\nquot(s(X4187), X4188, X4189, X4190) :- ','(p(X4188, X4191), quot(X4187, X4191, X4189, X4190)).\nand substitutionX4187 -> T1235,\nT1216 -> s(T1235),\nT1221 -> T1236,\nX4188 -> T1236,\nX4189 -> s(s(s(s(s(s(T1236)))))),\nX4190 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1357 -> 2869 [arrowhead = none ];
2869 -> 1368;

2870 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1357 -> 2870 [arrowhead = none ];
2870 -> 1369;

2871 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1358 -> 2871 [arrowhead = none ];
2871 -> 1360;

2872 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1360 -> 2872 [arrowhead = none ];
2872 -> 1361;

2873 [label="ONLY EVAL with clause\neq(X4163, X4163).\nand substitutionX4163 -> s(s(s(s(s(s(0)))))),\nX4151 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
1361 -> 2873 [arrowhead = none ];
2873 -> 1362;

2874 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1362 -> 2874 [arrowhead = none ];
2874 -> 1363;

2875 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1363 -> 2875 [arrowhead = none ];
2875 -> 1364;

2876 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1363 -> 2876 [arrowhead = none ];
2876 -> 1365;

2877 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX4152 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1364 -> 2877 [arrowhead = none ];
2877 -> 1366;

2878 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1365 -> 2878 [arrowhead = none ];
2878 -> 1367;

2879 [label="INSTANCE with matching:\nT690 -> T1230", fontsize=14, style = filled, fillcolor = lightgrey];
1366 -> 2879 [arrowhead = none , style=dashed];
2879 -> 732[style=dashed];

2880 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1368 -> 2880 [arrowhead = none ];
2880 -> 1370;

2881 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1370 -> 2881 [arrowhead = none ];
2881 -> 1371;

2882 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1370 -> 2882 [arrowhead = none ];
2882 -> 1372;

2883 [label="EVAL with clause\np(0, 0).\nand substitutionT1236 -> 0,\nX4191 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1371 -> 2883 [arrowhead = none ];
2883 -> 1373;

2884 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1371 -> 2884 [arrowhead = none ];
2884 -> 1374;

2885 [label="EVAL with clause\np(s(X4201), X4201).\nand substitutionX4201 -> T1240,\nT1236 -> s(T1240),\nX4191 -> T1240", fontsize=14, style = filled, fillcolor = lightblue];
1372 -> 2885 [arrowhead = none ];
2885 -> 1375;

2886 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1372 -> 2886 [arrowhead = none ];
2886 -> 1376;

2887 [label="INSTANCE with matching:\nT716 -> T1235", fontsize=14, style = filled, fillcolor = lightgrey];
1373 -> 2887 [arrowhead = none , style=dashed];
2887 -> 811[style=dashed];

2888 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1375 -> 2888 [arrowhead = none ];
2888 -> 1377;

2889 [label="EVAL with clause\nquot(0, s(X4211), s(X4212), X4213) :- ','(!_290, eq(X4213, 0)).\nand substitutionT1235 -> 0,\nX4211 -> T1244,\nT1240 -> s(T1244),\nX4212 -> s(s(s(s(s(s(s(T1244))))))),\nX4213 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1377 -> 2889 [arrowhead = none ];
2889 -> 1378;

2890 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1377 -> 2890 [arrowhead = none ];
2890 -> 1379;

2891 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1378 -> 2891 [arrowhead = none ];
2891 -> 1380;

2892 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1379 -> 2892 [arrowhead = none ];
2892 -> 1384;

2893 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1379 -> 2893 [arrowhead = none ];
2893 -> 1385;

2894 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1380 -> 2894 [arrowhead = none ];
2894 -> 1381;

2895 [label="ONLY EVAL with clause\neq(X4216, X4216).\nand substitutionX4216 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1381 -> 2895 [arrowhead = none ];
2895 -> 1382;

2896 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1382 -> 2896 [arrowhead = none ];
2896 -> 1383;

2897 [label="EVAL with clause\nquot(X4233, 0, X4234, X4235) :- ','(!_290, ','(eq(X4234, s(X4236)), ','(p(X4235, X4237), quot(X4233, X4234, X4234, X4237)))).\nand substitutionT1235 -> T1249,\nX4233 -> T1249,\nT1240 -> 0,\nX4234 -> s(s(s(s(s(s(s(0))))))),\nX4235 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1384 -> 2897 [arrowhead = none ];
2897 -> 1386;

2898 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1384 -> 2898 [arrowhead = none ];
2898 -> 1387;

2899 [label="EVAL with clause\nquot(s(X4272), X4273, X4274, X4275) :- ','(p(X4273, X4276), quot(X4272, X4276, X4274, X4275)).\nand substitutionX4272 -> T1254,\nT1235 -> s(T1254),\nT1240 -> T1255,\nX4273 -> T1255,\nX4274 -> s(s(s(s(s(s(s(T1255))))))),\nX4275 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1385 -> 2899 [arrowhead = none ];
2899 -> 1396;

2900 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1385 -> 2900 [arrowhead = none ];
2900 -> 1397;

2901 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1386 -> 2901 [arrowhead = none ];
2901 -> 1388;

2902 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1388 -> 2902 [arrowhead = none ];
2902 -> 1389;

2903 [label="ONLY EVAL with clause\neq(X4248, X4248).\nand substitutionX4248 -> s(s(s(s(s(s(s(0))))))),\nX4236 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
1389 -> 2903 [arrowhead = none ];
2903 -> 1390;

2904 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1390 -> 2904 [arrowhead = none ];
2904 -> 1391;

2905 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1391 -> 2905 [arrowhead = none ];
2905 -> 1392;

2906 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1391 -> 2906 [arrowhead = none ];
2906 -> 1393;

2907 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX4237 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1392 -> 2907 [arrowhead = none ];
2907 -> 1394;

2908 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1393 -> 2908 [arrowhead = none ];
2908 -> 1395;

2909 [label="INSTANCE with matching:\nT879 -> T1249", fontsize=14, style = filled, fillcolor = lightgrey];
1394 -> 2909 [arrowhead = none , style=dashed];
2909 -> 949[style=dashed];

2910 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1396 -> 2910 [arrowhead = none ];
2910 -> 1398;

2911 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1398 -> 2911 [arrowhead = none ];
2911 -> 1399;

2912 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1398 -> 2912 [arrowhead = none ];
2912 -> 1400;

2913 [label="EVAL with clause\np(0, 0).\nand substitutionT1255 -> 0,\nX4276 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1399 -> 2913 [arrowhead = none ];
2913 -> 1401;

2914 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1399 -> 2914 [arrowhead = none ];
2914 -> 1402;

2915 [label="EVAL with clause\np(s(X4286), X4286).\nand substitutionX4286 -> T1259,\nT1255 -> s(T1259),\nX4276 -> T1259", fontsize=14, style = filled, fillcolor = lightblue];
1400 -> 2915 [arrowhead = none ];
2915 -> 1403;

2916 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1400 -> 2916 [arrowhead = none ];
2916 -> 1404;

2917 [label="INSTANCE with matching:\nT909 -> T1254", fontsize=14, style = filled, fillcolor = lightgrey];
1401 -> 2917 [arrowhead = none , style=dashed];
2917 -> 1041[style=dashed];

2918 [label="GENERALIZATION\nT1261 <-- s(s(s(s(s(s(s(T1259)))))))\n\nNew Knowledge:\nT1261 is ground", fontsize=14, style = filled, fillcolor = violet];
1403 -> 2918 [arrowhead = none ];
2918 -> 1405;

2919 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1405 -> 2919 [arrowhead = none ];
2919 -> 1406;

2920 [label="EVAL with clause\nquot(0, s(X4299), s(X4300), X4301) :- ','(!_295, eq(X4301, 0)).\nand substitutionT1254 -> 0,\nX4299 -> T1268,\nT1259 -> s(T1268),\nT1261 -> T1269,\nX4300 -> T1269,\nX4301 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1406 -> 2920 [arrowhead = none ];
2920 -> 1407;

2921 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1406 -> 2921 [arrowhead = none ];
2921 -> 1408;

2922 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1407 -> 2922 [arrowhead = none ];
2922 -> 1409;

2923 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1408 -> 2923 [arrowhead = none ];
2923 -> 1413;

2924 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1408 -> 2924 [arrowhead = none ];
2924 -> 1414;

2925 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1409 -> 2925 [arrowhead = none ];
2925 -> 1410;

2926 [label="ONLY EVAL with clause\neq(X4304, X4304).\nand substitutionX4304 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1410 -> 2926 [arrowhead = none ];
2926 -> 1411;

2927 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1411 -> 2927 [arrowhead = none ];
2927 -> 1412;

2928 [label="EVAL with clause\nquot(X4321, 0, X4322, X4323) :- ','(!_295, ','(eq(X4322, s(X4324)), ','(p(X4323, X4325), quot(X4321, X4322, X4322, X4325)))).\nand substitutionT1254 -> T1278,\nX4321 -> T1278,\nT1259 -> 0,\nT1261 -> T1279,\nX4322 -> s(T1279),\nX4323 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1413 -> 2928 [arrowhead = none ];
2928 -> 1415;

2929 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1413 -> 2929 [arrowhead = none ];
2929 -> 1416;

2930 [label="EVAL with clause\nquot(s(X4360), X4361, X4362, X4363) :- ','(p(X4361, X4364), quot(X4360, X4364, X4362, X4363)).\nand substitutionX4360 -> T1295,\nT1254 -> s(T1295),\nT1259 -> T1296,\nX4361 -> T1296,\nT1261 -> T1297,\nX4362 -> s(T1297),\nX4363 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1414 -> 2930 [arrowhead = none ];
2930 -> 1425;

2931 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1414 -> 2931 [arrowhead = none ];
2931 -> 1426;

2932 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1415 -> 2932 [arrowhead = none ];
2932 -> 1417;

2933 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1417 -> 2933 [arrowhead = none ];
2933 -> 1418;

2934 [label="ONLY EVAL with clause\neq(X4336, X4336).\nand substitutionT1279 -> T1284,\nX4336 -> s(T1284),\nX4324 -> T1284", fontsize=14, style = filled, fillcolor = lightblue];
1418 -> 2934 [arrowhead = none ];
2934 -> 1419;

2935 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1419 -> 2935 [arrowhead = none ];
2935 -> 1420;

2936 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1420 -> 2936 [arrowhead = none ];
2936 -> 1421;

2937 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1420 -> 2937 [arrowhead = none ];
2937 -> 1422;

2938 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX4325 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1421 -> 2938 [arrowhead = none ];
2938 -> 1423;

2939 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1422 -> 2939 [arrowhead = none ];
2939 -> 1424;

2940 [label="INSTANCE with matching:\nT1101 -> T1278\nT1109 -> T1284", fontsize=14, style = filled, fillcolor = lightgrey];
1423 -> 2940 [arrowhead = none , style=dashed];
2940 -> 1194[style=dashed];

2941 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1425 -> 2941 [arrowhead = none ];
2941 -> 1427;

2942 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1427 -> 2942 [arrowhead = none ];
2942 -> 1428;

2943 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1427 -> 2943 [arrowhead = none ];
2943 -> 1429;

2944 [label="EVAL with clause\np(0, 0).\nand substitutionT1296 -> 0,\nX4364 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1428 -> 2944 [arrowhead = none ];
2944 -> 1430;

2945 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1428 -> 2945 [arrowhead = none ];
2945 -> 1431;

2946 [label="EVAL with clause\np(s(X4415), X4415).\nand substitutionX4415 -> T1316,\nT1296 -> s(T1316),\nX4364 -> T1316", fontsize=14, style = filled, fillcolor = lightblue];
1429 -> 2946 [arrowhead = none ];
2946 -> 1443;

2947 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1429 -> 2947 [arrowhead = none ];
2947 -> 1444;

2948 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1430 -> 2948 [arrowhead = none ];
2948 -> 1432;

2949 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1432 -> 2949 [arrowhead = none ];
2949 -> 1433;

2950 [label="ONLY EVAL with clause\nquot(X4383, 0, X4384, X4385) :- ','(!_300, ','(eq(X4384, s(X4386)), ','(p(X4385, X4387), quot(X4383, X4384, X4384, X4387)))).\nand substitutionT1295 -> T1303,\nX4383 -> T1303,\nT1297 -> T1304,\nX4384 -> s(T1304),\nX4385 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1433 -> 2950 [arrowhead = none ];
2950 -> 1434;

2951 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1434 -> 2951 [arrowhead = none ];
2951 -> 1435;

2952 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1435 -> 2952 [arrowhead = none ];
2952 -> 1436;

2953 [label="ONLY EVAL with clause\neq(X4398, X4398).\nand substitutionT1304 -> T1309,\nX4398 -> s(T1309),\nX4386 -> T1309", fontsize=14, style = filled, fillcolor = lightblue];
1436 -> 2953 [arrowhead = none ];
2953 -> 1437;

2954 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1437 -> 2954 [arrowhead = none ];
2954 -> 1438;

2955 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1438 -> 2955 [arrowhead = none ];
2955 -> 1439;

2956 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1438 -> 2956 [arrowhead = none ];
2956 -> 1440;

2957 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX4387 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1439 -> 2957 [arrowhead = none ];
2957 -> 1441;

2958 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1440 -> 2958 [arrowhead = none ];
2958 -> 1442;

2959 [label="INSTANCE with matching:\nT1101 -> T1303\nT1109 -> T1309", fontsize=14, style = filled, fillcolor = lightgrey];
1441 -> 2959 [arrowhead = none , style=dashed];
2959 -> 1194[style=dashed];

2960 [label="INSTANCE with matching:\nT1254 -> T1295\nT1259 -> T1316\nT1261 -> T1297", fontsize=14, style = filled, fillcolor = lightgrey];
1443 -> 2960 [arrowhead = none , style=dashed];
2960 -> 1405[style=dashed];

2961 [label="INSTANCE with matching:\nT7 -> T1101\nT8 -> s(T1109)\nT10 -> T1322", fontsize=14, style = filled, fillcolor = lightgrey];
1445 -> 2961 [arrowhead = none , style=dashed];
2961 -> 3[style=dashed];

2962 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1447 -> 2962 [arrowhead = none ];
2962 -> 1449;

2963 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1449 -> 2963 [arrowhead = none ];
2963 -> 1450;

2964 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1449 -> 2964 [arrowhead = none ];
2964 -> 1451;

2965 [label="EVAL with clause\np(0, 0).\nand substitutionT1334 -> 0,\nX4438 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1450 -> 2965 [arrowhead = none ];
2965 -> 1452;

2966 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1450 -> 2966 [arrowhead = none ];
2966 -> 1453;

2967 [label="EVAL with clause\np(s(X4488), X4488).\nand substitutionX4488 -> T1366,\nT1334 -> s(T1366),\nX4438 -> T1366", fontsize=14, style = filled, fillcolor = lightblue];
1451 -> 2967 [arrowhead = none ];
2967 -> 1467;

2968 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1451 -> 2968 [arrowhead = none ];
2968 -> 1468;

2969 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1452 -> 2969 [arrowhead = none ];
2969 -> 1454;

2970 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1454 -> 2970 [arrowhead = none ];
2970 -> 1455;

2971 [label="ONLY EVAL with clause\nquot(X4457, 0, X4458, X4459) :- ','(!_304, ','(eq(X4458, s(X4460)), ','(p(X4459, X4461), quot(X4457, X4458, X4458, X4461)))).\nand substitutionT1333 -> T1347,\nX4457 -> T1347,\nT1335 -> T1348,\nX4458 -> s(T1348),\nT1337 -> T1350,\nX4459 -> T1350,\nT1349 -> T1350", fontsize=14, style = filled, fillcolor = lightblue];
1455 -> 2971 [arrowhead = none ];
2971 -> 1456;

2972 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1456 -> 2972 [arrowhead = none ];
2972 -> 1457;

2973 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1457 -> 2973 [arrowhead = none ];
2973 -> 1458;

2974 [label="ONLY EVAL with clause\neq(X4472, X4472).\nand substitutionT1348 -> T1355,\nX4472 -> s(T1355),\nX4460 -> T1355", fontsize=14, style = filled, fillcolor = lightblue];
1458 -> 2974 [arrowhead = none ];
2974 -> 1459;

2975 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1459 -> 2975 [arrowhead = none ];
2975 -> 1460;

2976 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1460 -> 2976 [arrowhead = none ];
2976 -> 1461;

2977 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1460 -> 2977 [arrowhead = none ];
2977 -> 1462;

2978 [label="EVAL with clause\np(0, 0).\nand substitutionT1350 -> 0,\nX4461 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1461 -> 2978 [arrowhead = none ];
2978 -> 1463;

2979 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1461 -> 2979 [arrowhead = none ];
2979 -> 1464;

2980 [label="EVAL with clause\np(s(X4482), X4482).\nand substitutionX4482 -> T1361,\nT1350 -> s(T1361),\nX4461 -> T1361,\nT1360 -> T1361", fontsize=14, style = filled, fillcolor = lightblue];
1462 -> 2980 [arrowhead = none ];
2980 -> 1465;

2981 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1462 -> 2981 [arrowhead = none ];
2981 -> 1466;

2982 [label="INSTANCE with matching:\nT1101 -> T1347\nT1109 -> T1355", fontsize=14, style = filled, fillcolor = lightgrey];
1463 -> 2982 [arrowhead = none , style=dashed];
2982 -> 1194[style=dashed];

2983 [label="INSTANCE with matching:\nT7 -> T1347\nT8 -> s(T1355)\nT10 -> T1361", fontsize=14, style = filled, fillcolor = lightgrey];
1465 -> 2983 [arrowhead = none , style=dashed];
2983 -> 3[style=dashed];

2984 [label="INSTANCE with matching:\nT1061 -> T1333\nT1069 -> T1366\nT1072 -> T1335\nT1064 -> T1337", fontsize=14, style = filled, fillcolor = lightgrey];
1467 -> 2984 [arrowhead = none , style=dashed];
2984 -> 1175[style=dashed];

}

(2) Obligation:

Clauses:

quotA(0).
quotA(s(T81)) :- quotB(T81).
quotC(0, 0).
quotC(s(T102), T104) :- quotD(T102, T104).
quotD(T111, 0) :- quotA(T111).
quotD(T111, s(T117)) :- quotC(T111, T117).
quotE(0).
quotE(s(0)).
quotE(s(s(T164))) :- quotF(T164).
quotG(0, 0).
quotG(s(0), 0).
quotG(s(s(T203)), T205) :- quotH(T203, T205).
quotH(T212, 0) :- quotE(T212).
quotH(T212, s(T218)) :- quotG(T212, T218).
quotI(0).
quotI(s(0)).
quotI(s(s(0))).
quotI(s(s(s(T269)))) :- quotJ(T269).
quotK(0, 0).
quotK(s(0), 0).
quotK(s(s(0)), 0).
quotK(s(s(s(T326))), T328) :- quotL(T326, T328).
quotL(T335, 0) :- quotI(T335).
quotL(T335, s(T341)) :- quotK(T335, T341).
quotM(0).
quotM(s(0)).
quotM(s(s(0))).
quotM(s(s(s(0)))).
quotM(s(s(s(s(T396))))) :- quotN(T396).
quotO(0, 0).
quotO(s(0), 0).
quotO(s(s(0)), 0).
quotO(s(s(s(0))), 0).
quotO(s(s(s(s(T471)))), T473) :- quotP(T471, T473).
quotP(T480, 0) :- quotM(T480).
quotP(T480, s(T486)) :- quotO(T480, T486).
quotQ(0).
quotQ(s(0)).
quotQ(s(s(0))).
quotQ(s(s(s(0)))).
quotQ(s(s(s(s(0))))).
quotQ(s(s(s(s(s(T545)))))) :- quotR(T545).
quotS(0, 0).
quotS(s(0), 0).
quotS(s(s(0)), 0).
quotS(s(s(s(0))), 0).
quotS(s(s(s(s(0)))), 0).
quotS(s(s(s(s(s(T638))))), T640) :- quotT(T638, T640).
quotT(T647, 0) :- quotQ(T647).
quotT(T647, s(T653)) :- quotS(T647, T653).
quotU(0).
quotU(s(0)).
quotU(s(s(0))).
quotU(s(s(s(0)))).
quotU(s(s(s(s(0))))).
quotU(s(s(s(s(s(0)))))).
quotU(s(s(s(s(s(s(T716))))))) :- quotV(T716).
quotW(0, 0).
quotW(s(0), 0).
quotW(s(s(0)), 0).
quotW(s(s(s(0))), 0).
quotW(s(s(s(s(0)))), 0).
quotW(s(s(s(s(s(0))))), 0).
quotW(s(s(s(s(s(s(T827)))))), T829) :- quotX(T827, T829).
quotX(T836, 0) :- quotU(T836).
quotX(T836, s(T842)) :- quotW(T836, T842).
quotY(0).
quotY(s(0)).
quotY(s(s(0))).
quotY(s(s(s(0)))).
quotY(s(s(s(s(0))))).
quotY(s(s(s(s(s(0)))))).
quotY(s(s(s(s(s(s(0))))))).
quotY(s(s(s(s(s(s(s(T909)))))))) :- quotZ(T909).
quotN1(0, 0).
quotN1(s(0), 0).
quotN1(s(s(0)), 0).
quotN1(s(s(s(0))), 0).
quotN1(s(s(s(s(0)))), 0).
quotN1(s(s(s(s(s(0))))), 0).
quotN1(s(s(s(s(s(s(0)))))), 0).
quotN1(s(s(s(s(s(s(s(T1038))))))), T1040) :- quotN2(T1038, T1040).
quotN2(T1047, 0) :- quotY(T1047).
quotN2(T1047, s(T1053)) :- quotN1(T1047, T1053).
quotB(T84) :- quotA(T84).
quotF(T167) :- quotE(T167).
quotJ(T272) :- quotI(T272).
quotN(T399) :- quotM(T399).
quotR(T548) :- quotQ(T548).
quotV(T719) :- quotU(T719).
quotZ(T912) :- quotY(T912).
quotN3(0, T1114).
quotN3(s(0), s(T1130)).
quotN3(s(T1135), 0) :- quotA(T1135).
quotN3(s(s(T1140)), 0) :- quotB(T1140).
quotN3(s(s(0)), s(s(T1149))).
quotN3(s(s(T1154)), s(0)) :- quotE(T1154).
quotN3(s(s(s(T1159))), s(0)) :- quotF(T1159).
quotN3(s(s(s(0))), s(s(s(T1168)))).
quotN3(s(s(s(T1173))), s(s(0))) :- quotI(T1173).
quotN3(s(s(s(s(T1178)))), s(s(0))) :- quotJ(T1178).
quotN3(s(s(s(s(0)))), s(s(s(s(T1187))))).
quotN3(s(s(s(s(T1192)))), s(s(s(0)))) :- quotM(T1192).
quotN3(s(s(s(s(s(T1197))))), s(s(s(0)))) :- quotN(T1197).
quotN3(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))).
quotN3(s(s(s(s(s(T1211))))), s(s(s(s(0))))) :- quotQ(T1211).
quotN3(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) :- quotR(T1216).
quotN3(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))).
quotN3(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) :- quotU(T1230).
quotN3(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) :- quotV(T1235).
quotN3(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))).
quotN3(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) :- quotY(T1249).
quotN3(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) :- quotZ(T1254).
quotN3(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) :- quotN4(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))).
quotN4(0, s(T1268), T1269).
quotN4(T1278, 0, T1284) :- quotN3(T1278, T1284).
quotN4(s(T1303), 0, T1309) :- quotN3(T1303, T1309).
quotN4(s(T1295), s(T1316), T1297) :- quotN4(T1295, T1316, T1297).
quotN5(0, s(T15), 0).
quotN5(s(0), s(s(T61)), 0).
quotN5(s(T75), s(0), 0) :- quotA(T75).
quotN5(s(T75), s(0), s(T88)) :- quotC(T75, T88).
quotN5(s(s(T125)), s(0), T128) :- quotD(T125, T128).
quotN5(s(s(0)), s(s(s(T140))), 0).
quotN5(s(s(T154)), s(s(0)), 0) :- quotE(T154).
quotN5(s(s(T154)), s(s(0)), s(T171)) :- quotG(T154, T171).
quotN5(s(s(s(T226))), s(s(0)), T229) :- quotH(T226, T229).
quotN5(s(s(s(0))), s(s(s(s(T241)))), 0).
quotN5(s(s(s(T255))), s(s(s(0))), 0) :- quotI(T255).
quotN5(s(s(s(T255))), s(s(s(0))), s(T276)) :- quotK(T255, T276).
quotN5(s(s(s(s(T349)))), s(s(s(0))), T352) :- quotL(T349, T352).
quotN5(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0).
quotN5(s(s(s(s(T378)))), s(s(s(s(0)))), 0) :- quotM(T378).
quotN5(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) :- quotO(T378, T403).
quotN5(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) :- quotP(T494, T497).
quotN5(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0).
quotN5(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) :- quotQ(T523).
quotN5(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) :- quotS(T523, T552).
quotN5(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) :- quotT(T661, T664).
quotN5(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0).
quotN5(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) :- quotU(T690).
quotN5(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) :- quotW(T690, T723).
quotN5(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) :- quotX(T850, T853).
quotN5(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0).
quotN5(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) :- quotY(T879).
quotN5(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) :- quotN1(T879, T916).
quotN5(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) :- quotN2(T1061, T1064).
quotN5(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) :- quotN6(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064).
quotN6(0, s(T1082), T1083, 0).
quotN6(T1101, 0, T1109, 0) :- quotN3(T1101, T1109).
quotN6(T1101, 0, T1109, s(T1322)) :- quotN5(T1101, s(T1109), T1322).
quotN6(s(T1347), 0, T1355, 0) :- quotN3(T1347, T1355).
quotN6(s(T1347), 0, T1355, s(T1361)) :- quotN5(T1347, s(T1355), T1361).
quotN6(s(T1333), s(T1366), T1335, T1337) :- quotN6(T1333, T1366, T1335, T1337).
divN7(T7, T8, T10) :- quotN5(T7, T8, T10).

Query: divN7(g,g,a)

(3) PrologToPiTRSProof (SOUND transformation)

We use the technique of [TOCL09]. With regard to the inferred argument filtering the predicates were used in the following modes:
divN7_in: (b,b,f)
quotN5_in: (b,b,f)
quotA_in: (b)
quotB_in: (b)
quotC_in: (b,f)
quotD_in: (b,f)
quotE_in: (b)
quotF_in: (b)
quotG_in: (b,f)
quotH_in: (b,f)
quotI_in: (b)
quotJ_in: (b)
quotK_in: (b,f)
quotL_in: (b,f)
quotM_in: (b)
quotN_in: (b)
quotO_in: (b,f)
quotP_in: (b,f)
quotQ_in: (b)
quotR_in: (b)
quotS_in: (b,f)
quotT_in: (b,f)
quotU_in: (b)
quotV_in: (b)
quotW_in: (b,f)
quotX_in: (b,f)
quotY_in: (b)
quotZ_in: (b)
quotN1_in: (b,f)
quotN2_in: (b,f)
quotN6_in: (b,b,b,f)
quotN3_in: (b,b)
quotN4_in: (b,b,b)
Transforming Prolog into the following Term Rewriting System:
Pi-finite rewrite system:
The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

Infinitary Constructor Rewriting Termination of PiTRS implies Termination of Prolog

(4) Obligation:

Pi-finite rewrite system:
The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(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:

DIVN7_IN_GGA(T7, T8, T10) → U81_GGA(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
DIVN7_IN_GGA(T7, T8, T10) → QUOTN5_IN_GGA(T7, T8, T10)
QUOTN5_IN_GGA(s(T75), s(0), 0) → U54_GGA(T75, quotA_in_g(T75))
QUOTN5_IN_GGA(s(T75), s(0), 0) → QUOTA_IN_G(T75)
QUOTA_IN_G(s(T81)) → U1_G(T81, quotB_in_g(T81))
QUOTA_IN_G(s(T81)) → QUOTB_IN_G(T81)
QUOTB_IN_G(T84) → U29_G(T84, quotA_in_g(T84))
QUOTB_IN_G(T84) → QUOTA_IN_G(T84)
QUOTN5_IN_GGA(s(T75), s(0), s(T88)) → U55_GGA(T75, T88, quotC_in_ga(T75, T88))
QUOTN5_IN_GGA(s(T75), s(0), s(T88)) → QUOTC_IN_GA(T75, T88)
QUOTC_IN_GA(s(T102), T104) → U2_GA(T102, T104, quotD_in_ga(T102, T104))
QUOTC_IN_GA(s(T102), T104) → QUOTD_IN_GA(T102, T104)
QUOTD_IN_GA(T111, 0) → U3_GA(T111, quotA_in_g(T111))
QUOTD_IN_GA(T111, 0) → QUOTA_IN_G(T111)
QUOTD_IN_GA(T111, s(T117)) → U4_GA(T111, T117, quotC_in_ga(T111, T117))
QUOTD_IN_GA(T111, s(T117)) → QUOTC_IN_GA(T111, T117)
QUOTN5_IN_GGA(s(s(T125)), s(0), T128) → U56_GGA(T125, T128, quotD_in_ga(T125, T128))
QUOTN5_IN_GGA(s(s(T125)), s(0), T128) → QUOTD_IN_GA(T125, T128)
QUOTN5_IN_GGA(s(s(T154)), s(s(0)), 0) → U57_GGA(T154, quotE_in_g(T154))
QUOTN5_IN_GGA(s(s(T154)), s(s(0)), 0) → QUOTE_IN_G(T154)
QUOTE_IN_G(s(s(T164))) → U5_G(T164, quotF_in_g(T164))
QUOTE_IN_G(s(s(T164))) → QUOTF_IN_G(T164)
QUOTF_IN_G(T167) → U30_G(T167, quotE_in_g(T167))
QUOTF_IN_G(T167) → QUOTE_IN_G(T167)
QUOTN5_IN_GGA(s(s(T154)), s(s(0)), s(T171)) → U58_GGA(T154, T171, quotG_in_ga(T154, T171))
QUOTN5_IN_GGA(s(s(T154)), s(s(0)), s(T171)) → QUOTG_IN_GA(T154, T171)
QUOTG_IN_GA(s(s(T203)), T205) → U6_GA(T203, T205, quotH_in_ga(T203, T205))
QUOTG_IN_GA(s(s(T203)), T205) → QUOTH_IN_GA(T203, T205)
QUOTH_IN_GA(T212, 0) → U7_GA(T212, quotE_in_g(T212))
QUOTH_IN_GA(T212, 0) → QUOTE_IN_G(T212)
QUOTH_IN_GA(T212, s(T218)) → U8_GA(T212, T218, quotG_in_ga(T212, T218))
QUOTH_IN_GA(T212, s(T218)) → QUOTG_IN_GA(T212, T218)
QUOTN5_IN_GGA(s(s(s(T226))), s(s(0)), T229) → U59_GGA(T226, T229, quotH_in_ga(T226, T229))
QUOTN5_IN_GGA(s(s(s(T226))), s(s(0)), T229) → QUOTH_IN_GA(T226, T229)
QUOTN5_IN_GGA(s(s(s(T255))), s(s(s(0))), 0) → U60_GGA(T255, quotI_in_g(T255))
QUOTN5_IN_GGA(s(s(s(T255))), s(s(s(0))), 0) → QUOTI_IN_G(T255)
QUOTI_IN_G(s(s(s(T269)))) → U9_G(T269, quotJ_in_g(T269))
QUOTI_IN_G(s(s(s(T269)))) → QUOTJ_IN_G(T269)
QUOTJ_IN_G(T272) → U31_G(T272, quotI_in_g(T272))
QUOTJ_IN_G(T272) → QUOTI_IN_G(T272)
QUOTN5_IN_GGA(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_GGA(T255, T276, quotK_in_ga(T255, T276))
QUOTN5_IN_GGA(s(s(s(T255))), s(s(s(0))), s(T276)) → QUOTK_IN_GA(T255, T276)
QUOTK_IN_GA(s(s(s(T326))), T328) → U10_GA(T326, T328, quotL_in_ga(T326, T328))
QUOTK_IN_GA(s(s(s(T326))), T328) → QUOTL_IN_GA(T326, T328)
QUOTL_IN_GA(T335, 0) → U11_GA(T335, quotI_in_g(T335))
QUOTL_IN_GA(T335, 0) → QUOTI_IN_G(T335)
QUOTL_IN_GA(T335, s(T341)) → U12_GA(T335, T341, quotK_in_ga(T335, T341))
QUOTL_IN_GA(T335, s(T341)) → QUOTK_IN_GA(T335, T341)
QUOTN5_IN_GGA(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_GGA(T349, T352, quotL_in_ga(T349, T352))
QUOTN5_IN_GGA(s(s(s(s(T349)))), s(s(s(0))), T352) → QUOTL_IN_GA(T349, T352)
QUOTN5_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_GGA(T378, quotM_in_g(T378))
QUOTN5_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → QUOTM_IN_G(T378)
QUOTM_IN_G(s(s(s(s(T396))))) → U13_G(T396, quotN_in_g(T396))
QUOTM_IN_G(s(s(s(s(T396))))) → QUOTN_IN_G(T396)
QUOTN_IN_G(T399) → U32_G(T399, quotM_in_g(T399))
QUOTN_IN_G(T399) → QUOTM_IN_G(T399)
QUOTN5_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_GGA(T378, T403, quotO_in_ga(T378, T403))
QUOTN5_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → QUOTO_IN_GA(T378, T403)
QUOTO_IN_GA(s(s(s(s(T471)))), T473) → U14_GA(T471, T473, quotP_in_ga(T471, T473))
QUOTO_IN_GA(s(s(s(s(T471)))), T473) → QUOTP_IN_GA(T471, T473)
QUOTP_IN_GA(T480, 0) → U15_GA(T480, quotM_in_g(T480))
QUOTP_IN_GA(T480, 0) → QUOTM_IN_G(T480)
QUOTP_IN_GA(T480, s(T486)) → U16_GA(T480, T486, quotO_in_ga(T480, T486))
QUOTP_IN_GA(T480, s(T486)) → QUOTO_IN_GA(T480, T486)
QUOTN5_IN_GGA(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_GGA(T494, T497, quotP_in_ga(T494, T497))
QUOTN5_IN_GGA(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → QUOTP_IN_GA(T494, T497)
QUOTN5_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_GGA(T523, quotQ_in_g(T523))
QUOTN5_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → QUOTQ_IN_G(T523)
QUOTQ_IN_G(s(s(s(s(s(T545)))))) → U17_G(T545, quotR_in_g(T545))
QUOTQ_IN_G(s(s(s(s(s(T545)))))) → QUOTR_IN_G(T545)
QUOTR_IN_G(T548) → U33_G(T548, quotQ_in_g(T548))
QUOTR_IN_G(T548) → QUOTQ_IN_G(T548)
QUOTN5_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_GGA(T523, T552, quotS_in_ga(T523, T552))
QUOTN5_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → QUOTS_IN_GA(T523, T552)
QUOTS_IN_GA(s(s(s(s(s(T638))))), T640) → U18_GA(T638, T640, quotT_in_ga(T638, T640))
QUOTS_IN_GA(s(s(s(s(s(T638))))), T640) → QUOTT_IN_GA(T638, T640)
QUOTT_IN_GA(T647, 0) → U19_GA(T647, quotQ_in_g(T647))
QUOTT_IN_GA(T647, 0) → QUOTQ_IN_G(T647)
QUOTT_IN_GA(T647, s(T653)) → U20_GA(T647, T653, quotS_in_ga(T647, T653))
QUOTT_IN_GA(T647, s(T653)) → QUOTS_IN_GA(T647, T653)
QUOTN5_IN_GGA(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_GGA(T661, T664, quotT_in_ga(T661, T664))
QUOTN5_IN_GGA(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → QUOTT_IN_GA(T661, T664)
QUOTN5_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_GGA(T690, quotU_in_g(T690))
QUOTN5_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → QUOTU_IN_G(T690)
QUOTU_IN_G(s(s(s(s(s(s(T716))))))) → U21_G(T716, quotV_in_g(T716))
QUOTU_IN_G(s(s(s(s(s(s(T716))))))) → QUOTV_IN_G(T716)
QUOTV_IN_G(T719) → U34_G(T719, quotU_in_g(T719))
QUOTV_IN_G(T719) → QUOTU_IN_G(T719)
QUOTN5_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_GGA(T690, T723, quotW_in_ga(T690, T723))
QUOTN5_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → QUOTW_IN_GA(T690, T723)
QUOTW_IN_GA(s(s(s(s(s(s(T827)))))), T829) → U22_GA(T827, T829, quotX_in_ga(T827, T829))
QUOTW_IN_GA(s(s(s(s(s(s(T827)))))), T829) → QUOTX_IN_GA(T827, T829)
QUOTX_IN_GA(T836, 0) → U23_GA(T836, quotU_in_g(T836))
QUOTX_IN_GA(T836, 0) → QUOTU_IN_G(T836)
QUOTX_IN_GA(T836, s(T842)) → U24_GA(T836, T842, quotW_in_ga(T836, T842))
QUOTX_IN_GA(T836, s(T842)) → QUOTW_IN_GA(T836, T842)
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_GGA(T850, T853, quotX_in_ga(T850, T853))
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → QUOTX_IN_GA(T850, T853)
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_GGA(T879, quotY_in_g(T879))
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOTY_IN_G(T879)
QUOTY_IN_G(s(s(s(s(s(s(s(T909)))))))) → U25_G(T909, quotZ_in_g(T909))
QUOTY_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTZ_IN_G(T909)
QUOTZ_IN_G(T912) → U35_G(T912, quotY_in_g(T912))
QUOTZ_IN_G(T912) → QUOTY_IN_G(T912)
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_GGA(T879, T916, quotN1_in_ga(T879, T916))
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → QUOTN1_IN_GA(T879, T916)
QUOTN1_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_GA(T1038, T1040, quotN2_in_ga(T1038, T1040))
QUOTN1_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → QUOTN2_IN_GA(T1038, T1040)
QUOTN2_IN_GA(T1047, 0) → U27_GA(T1047, quotY_in_g(T1047))
QUOTN2_IN_GA(T1047, 0) → QUOTY_IN_G(T1047)
QUOTN2_IN_GA(T1047, s(T1053)) → U28_GA(T1047, T1053, quotN1_in_ga(T1047, T1053))
QUOTN2_IN_GA(T1047, s(T1053)) → QUOTN1_IN_GA(T1047, T1053)
QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_GGA(T1061, T1064, quotN2_in_ga(T1061, T1064))
QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → QUOTN2_IN_GA(T1061, T1064)
QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_GGA(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → QUOTN6_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)
QUOTN6_IN_GGGA(T1101, 0, T1109, 0) → U76_GGGA(T1101, T1109, quotN3_in_gg(T1101, T1109))
QUOTN6_IN_GGGA(T1101, 0, T1109, 0) → QUOTN3_IN_GG(T1101, T1109)
QUOTN3_IN_GG(s(T1135), 0) → U36_GG(T1135, quotA_in_g(T1135))
QUOTN3_IN_GG(s(T1135), 0) → QUOTA_IN_G(T1135)
QUOTN3_IN_GG(s(s(T1140)), 0) → U37_GG(T1140, quotB_in_g(T1140))
QUOTN3_IN_GG(s(s(T1140)), 0) → QUOTB_IN_G(T1140)
QUOTN3_IN_GG(s(s(T1154)), s(0)) → U38_GG(T1154, quotE_in_g(T1154))
QUOTN3_IN_GG(s(s(T1154)), s(0)) → QUOTE_IN_G(T1154)
QUOTN3_IN_GG(s(s(s(T1159))), s(0)) → U39_GG(T1159, quotF_in_g(T1159))
QUOTN3_IN_GG(s(s(s(T1159))), s(0)) → QUOTF_IN_G(T1159)
QUOTN3_IN_GG(s(s(s(T1173))), s(s(0))) → U40_GG(T1173, quotI_in_g(T1173))
QUOTN3_IN_GG(s(s(s(T1173))), s(s(0))) → QUOTI_IN_G(T1173)
QUOTN3_IN_GG(s(s(s(s(T1178)))), s(s(0))) → U41_GG(T1178, quotJ_in_g(T1178))
QUOTN3_IN_GG(s(s(s(s(T1178)))), s(s(0))) → QUOTJ_IN_G(T1178)
QUOTN3_IN_GG(s(s(s(s(T1192)))), s(s(s(0)))) → U42_GG(T1192, quotM_in_g(T1192))
QUOTN3_IN_GG(s(s(s(s(T1192)))), s(s(s(0)))) → QUOTM_IN_G(T1192)
QUOTN3_IN_GG(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_GG(T1197, quotN_in_g(T1197))
QUOTN3_IN_GG(s(s(s(s(s(T1197))))), s(s(s(0)))) → QUOTN_IN_G(T1197)
QUOTN3_IN_GG(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_GG(T1211, quotQ_in_g(T1211))
QUOTN3_IN_GG(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → QUOTQ_IN_G(T1211)
QUOTN3_IN_GG(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_GG(T1216, quotR_in_g(T1216))
QUOTN3_IN_GG(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → QUOTR_IN_G(T1216)
QUOTN3_IN_GG(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_GG(T1230, quotU_in_g(T1230))
QUOTN3_IN_GG(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → QUOTU_IN_G(T1230)
QUOTN3_IN_GG(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_GG(T1235, quotV_in_g(T1235))
QUOTN3_IN_GG(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → QUOTV_IN_G(T1235)
QUOTN3_IN_GG(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_GG(T1249, quotY_in_g(T1249))
QUOTN3_IN_GG(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → QUOTY_IN_G(T1249)
QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_GG(T1254, quotZ_in_g(T1254))
QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → QUOTZ_IN_G(T1254)
QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_GG(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN4_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
QUOTN4_IN_GGG(T1278, 0, T1284) → U51_GGG(T1278, T1284, quotN3_in_gg(T1278, T1284))
QUOTN4_IN_GGG(T1278, 0, T1284) → QUOTN3_IN_GG(T1278, T1284)
QUOTN4_IN_GGG(s(T1303), 0, T1309) → U52_GGG(T1303, T1309, quotN3_in_gg(T1303, T1309))
QUOTN4_IN_GGG(s(T1303), 0, T1309) → QUOTN3_IN_GG(T1303, T1309)
QUOTN4_IN_GGG(s(T1295), s(T1316), T1297) → U53_GGG(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
QUOTN4_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN4_IN_GGG(T1295, T1316, T1297)
QUOTN6_IN_GGGA(T1101, 0, T1109, s(T1322)) → U77_GGGA(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
QUOTN6_IN_GGGA(T1101, 0, T1109, s(T1322)) → QUOTN5_IN_GGA(T1101, s(T1109), T1322)
QUOTN6_IN_GGGA(s(T1347), 0, T1355, 0) → U78_GGGA(T1347, T1355, quotN3_in_gg(T1347, T1355))
QUOTN6_IN_GGGA(s(T1347), 0, T1355, 0) → QUOTN3_IN_GG(T1347, T1355)
QUOTN6_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → U79_GGGA(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
QUOTN6_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → QUOTN5_IN_GGA(T1347, s(T1355), T1361)
QUOTN6_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → U80_GGGA(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
QUOTN6_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → QUOTN6_IN_GGGA(T1333, T1366, T1335, T1337)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

The argument filtering Pi contains the following mapping:
divN7_in_gga(x1, x2, x3) = divN7_in_gga(x1, x2)
U81_gga(x1, x2, x3, x4) = U81_gga(x1, x2, x4)
quotN5_in_gga(x1, x2, x3) = quotN5_in_gga(x1, x2)
0 = 0
s(x1) = s(x1)
quotN5_out_gga(x1, x2, x3) = quotN5_out_gga(x1, x2, x3)
U54_gga(x1, x2) = U54_gga(x1, x2)
quotA_in_g(x1) = quotA_in_g(x1)
quotA_out_g(x1) = quotA_out_g(x1)
U1_g(x1, x2) = U1_g(x1, x2)
quotB_in_g(x1) = quotB_in_g(x1)
U29_g(x1, x2) = U29_g(x1, x2)
quotB_out_g(x1) = quotB_out_g(x1)
U55_gga(x1, x2, x3) = U55_gga(x1, x3)
quotC_in_ga(x1, x2) = quotC_in_ga(x1)
quotC_out_ga(x1, x2) = quotC_out_ga(x1, x2)
U2_ga(x1, x2, x3) = U2_ga(x1, x3)
quotD_in_ga(x1, x2) = quotD_in_ga(x1)
U3_ga(x1, x2) = U3_ga(x1, x2)
quotD_out_ga(x1, x2) = quotD_out_ga(x1, x2)
U4_ga(x1, x2, x3) = U4_ga(x1, x3)
U56_gga(x1, x2, x3) = U56_gga(x1, x3)
U57_gga(x1, x2) = U57_gga(x1, x2)
quotE_in_g(x1) = quotE_in_g(x1)
quotE_out_g(x1) = quotE_out_g(x1)
U5_g(x1, x2) = U5_g(x1, x2)
quotF_in_g(x1) = quotF_in_g(x1)
U30_g(x1, x2) = U30_g(x1, x2)
quotF_out_g(x1) = quotF_out_g(x1)
U58_gga(x1, x2, x3) = U58_gga(x1, x3)
quotG_in_ga(x1, x2) = quotG_in_ga(x1)
quotG_out_ga(x1, x2) = quotG_out_ga(x1, x2)
U6_ga(x1, x2, x3) = U6_ga(x1, x3)
quotH_in_ga(x1, x2) = quotH_in_ga(x1)
U7_ga(x1, x2) = U7_ga(x1, x2)
quotH_out_ga(x1, x2) = quotH_out_ga(x1, x2)
U8_ga(x1, x2, x3) = U8_ga(x1, x3)
U59_gga(x1, x2, x3) = U59_gga(x1, x3)
U60_gga(x1, x2) = U60_gga(x1, x2)
quotI_in_g(x1) = quotI_in_g(x1)
quotI_out_g(x1) = quotI_out_g(x1)
U9_g(x1, x2) = U9_g(x1, x2)
quotJ_in_g(x1) = quotJ_in_g(x1)
U31_g(x1, x2) = U31_g(x1, x2)
quotJ_out_g(x1) = quotJ_out_g(x1)
U61_gga(x1, x2, x3) = U61_gga(x1, x3)
quotK_in_ga(x1, x2) = quotK_in_ga(x1)
quotK_out_ga(x1, x2) = quotK_out_ga(x1, x2)
U10_ga(x1, x2, x3) = U10_ga(x1, x3)
quotL_in_ga(x1, x2) = quotL_in_ga(x1)
U11_ga(x1, x2) = U11_ga(x1, x2)
quotL_out_ga(x1, x2) = quotL_out_ga(x1, x2)
U12_ga(x1, x2, x3) = U12_ga(x1, x3)
U62_gga(x1, x2, x3) = U62_gga(x1, x3)
U63_gga(x1, x2) = U63_gga(x1, x2)
quotM_in_g(x1) = quotM_in_g(x1)
quotM_out_g(x1) = quotM_out_g(x1)
U13_g(x1, x2) = U13_g(x1, x2)
quotN_in_g(x1) = quotN_in_g(x1)
U32_g(x1, x2) = U32_g(x1, x2)
quotN_out_g(x1) = quotN_out_g(x1)
U64_gga(x1, x2, x3) = U64_gga(x1, x3)
quotO_in_ga(x1, x2) = quotO_in_ga(x1)
quotO_out_ga(x1, x2) = quotO_out_ga(x1, x2)
U14_ga(x1, x2, x3) = U14_ga(x1, x3)
quotP_in_ga(x1, x2) = quotP_in_ga(x1)
U15_ga(x1, x2) = U15_ga(x1, x2)
quotP_out_ga(x1, x2) = quotP_out_ga(x1, x2)
U16_ga(x1, x2, x3) = U16_ga(x1, x3)
U65_gga(x1, x2, x3) = U65_gga(x1, x3)
U66_gga(x1, x2) = U66_gga(x1, x2)
quotQ_in_g(x1) = quotQ_in_g(x1)
quotQ_out_g(x1) = quotQ_out_g(x1)
U17_g(x1, x2) = U17_g(x1, x2)
quotR_in_g(x1) = quotR_in_g(x1)
U33_g(x1, x2) = U33_g(x1, x2)
quotR_out_g(x1) = quotR_out_g(x1)
U67_gga(x1, x2, x3) = U67_gga(x1, x3)
quotS_in_ga(x1, x2) = quotS_in_ga(x1)
quotS_out_ga(x1, x2) = quotS_out_ga(x1, x2)
U18_ga(x1, x2, x3) = U18_ga(x1, x3)
quotT_in_ga(x1, x2) = quotT_in_ga(x1)
U19_ga(x1, x2) = U19_ga(x1, x2)
quotT_out_ga(x1, x2) = quotT_out_ga(x1, x2)
U20_ga(x1, x2, x3) = U20_ga(x1, x3)
U68_gga(x1, x2, x3) = U68_gga(x1, x3)
U69_gga(x1, x2) = U69_gga(x1, x2)
quotU_in_g(x1) = quotU_in_g(x1)
quotU_out_g(x1) = quotU_out_g(x1)
U21_g(x1, x2) = U21_g(x1, x2)
quotV_in_g(x1) = quotV_in_g(x1)
U34_g(x1, x2) = U34_g(x1, x2)
quotV_out_g(x1) = quotV_out_g(x1)
U70_gga(x1, x2, x3) = U70_gga(x1, x3)
quotW_in_ga(x1, x2) = quotW_in_ga(x1)
quotW_out_ga(x1, x2) = quotW_out_ga(x1, x2)
U22_ga(x1, x2, x3) = U22_ga(x1, x3)
quotX_in_ga(x1, x2) = quotX_in_ga(x1)
U23_ga(x1, x2) = U23_ga(x1, x2)
quotX_out_ga(x1, x2) = quotX_out_ga(x1, x2)
U24_ga(x1, x2, x3) = U24_ga(x1, x3)
U71_gga(x1, x2, x3) = U71_gga(x1, x3)
U72_gga(x1, x2) = U72_gga(x1, x2)
quotY_in_g(x1) = quotY_in_g(x1)
quotY_out_g(x1) = quotY_out_g(x1)
U25_g(x1, x2) = U25_g(x1, x2)
quotZ_in_g(x1) = quotZ_in_g(x1)
U35_g(x1, x2) = U35_g(x1, x2)
quotZ_out_g(x1) = quotZ_out_g(x1)
U73_gga(x1, x2, x3) = U73_gga(x1, x3)
quotN1_in_ga(x1, x2) = quotN1_in_ga(x1)
quotN1_out_ga(x1, x2) = quotN1_out_ga(x1, x2)
U26_ga(x1, x2, x3) = U26_ga(x1, x3)
quotN2_in_ga(x1, x2) = quotN2_in_ga(x1)
U27_ga(x1, x2) = U27_ga(x1, x2)
quotN2_out_ga(x1, x2) = quotN2_out_ga(x1, x2)
U28_ga(x1, x2, x3) = U28_ga(x1, x3)
U74_gga(x1, x2, x3) = U74_gga(x1, x3)
U75_gga(x1, x2, x3, x4) = U75_gga(x1, x2, x4)
quotN6_in_ggga(x1, x2, x3, x4) = quotN6_in_ggga(x1, x2, x3)
quotN6_out_ggga(x1, x2, x3, x4) = quotN6_out_ggga(x1, x2, x3, x4)
U76_ggga(x1, x2, x3) = U76_ggga(x1, x2, x3)
quotN3_in_gg(x1, x2) = quotN3_in_gg(x1, x2)
quotN3_out_gg(x1, x2) = quotN3_out_gg(x1, x2)
U36_gg(x1, x2) = U36_gg(x1, x2)
U37_gg(x1, x2) = U37_gg(x1, x2)
U38_gg(x1, x2) = U38_gg(x1, x2)
U39_gg(x1, x2) = U39_gg(x1, x2)
U40_gg(x1, x2) = U40_gg(x1, x2)
U41_gg(x1, x2) = U41_gg(x1, x2)
U42_gg(x1, x2) = U42_gg(x1, x2)
U43_gg(x1, x2) = U43_gg(x1, x2)
U44_gg(x1, x2) = U44_gg(x1, x2)
U45_gg(x1, x2) = U45_gg(x1, x2)
U46_gg(x1, x2) = U46_gg(x1, x2)
U47_gg(x1, x2) = U47_gg(x1, x2)
U48_gg(x1, x2) = U48_gg(x1, x2)
U49_gg(x1, x2) = U49_gg(x1, x2)
U50_gg(x1, x2, x3) = U50_gg(x1, x2, x3)
quotN4_in_ggg(x1, x2, x3) = quotN4_in_ggg(x1, x2, x3)
quotN4_out_ggg(x1, x2, x3) = quotN4_out_ggg(x1, x2, x3)
U51_ggg(x1, x2, x3) = U51_ggg(x1, x2, x3)
U52_ggg(x1, x2, x3) = U52_ggg(x1, x2, x3)
U53_ggg(x1, x2, x3, x4) = U53_ggg(x1, x2, x3, x4)
U77_ggga(x1, x2, x3, x4) = U77_ggga(x1, x2, x4)
U78_ggga(x1, x2, x3) = U78_ggga(x1, x2, x3)
U79_ggga(x1, x2, x3, x4) = U79_ggga(x1, x2, x4)
U80_ggga(x1, x2, x3, x4, x5) = U80_ggga(x1, x2, x3, x5)
divN7_out_gga(x1, x2, x3) = divN7_out_gga(x1, x2, x3)
DIVN7_IN_GGA(x1, x2, x3) = DIVN7_IN_GGA(x1, x2)
U81_GGA(x1, x2, x3, x4) = U81_GGA(x1, x2, x4)
QUOTN5_IN_GGA(x1, x2, x3) = QUOTN5_IN_GGA(x1, x2)
U54_GGA(x1, x2) = U54_GGA(x1, x2)
QUOTA_IN_G(x1) = QUOTA_IN_G(x1)
U1_G(x1, x2) = U1_G(x1, x2)
QUOTB_IN_G(x1) = QUOTB_IN_G(x1)
U29_G(x1, x2) = U29_G(x1, x2)
U55_GGA(x1, x2, x3) = U55_GGA(x1, x3)
QUOTC_IN_GA(x1, x2) = QUOTC_IN_GA(x1)
U2_GA(x1, x2, x3) = U2_GA(x1, x3)
QUOTD_IN_GA(x1, x2) = QUOTD_IN_GA(x1)
U3_GA(x1, x2) = U3_GA(x1, x2)
U4_GA(x1, x2, x3) = U4_GA(x1, x3)
U56_GGA(x1, x2, x3) = U56_GGA(x1, x3)
U57_GGA(x1, x2) = U57_GGA(x1, x2)
QUOTE_IN_G(x1) = QUOTE_IN_G(x1)
U5_G(x1, x2) = U5_G(x1, x2)
QUOTF_IN_G(x1) = QUOTF_IN_G(x1)
U30_G(x1, x2) = U30_G(x1, x2)
U58_GGA(x1, x2, x3) = U58_GGA(x1, x3)
QUOTG_IN_GA(x1, x2) = QUOTG_IN_GA(x1)
U6_GA(x1, x2, x3) = U6_GA(x1, x3)
QUOTH_IN_GA(x1, x2) = QUOTH_IN_GA(x1)
U7_GA(x1, x2) = U7_GA(x1, x2)
U8_GA(x1, x2, x3) = U8_GA(x1, x3)
U59_GGA(x1, x2, x3) = U59_GGA(x1, x3)
U60_GGA(x1, x2) = U60_GGA(x1, x2)
QUOTI_IN_G(x1) = QUOTI_IN_G(x1)
U9_G(x1, x2) = U9_G(x1, x2)
QUOTJ_IN_G(x1) = QUOTJ_IN_G(x1)
U31_G(x1, x2) = U31_G(x1, x2)
U61_GGA(x1, x2, x3) = U61_GGA(x1, x3)
QUOTK_IN_GA(x1, x2) = QUOTK_IN_GA(x1)
U10_GA(x1, x2, x3) = U10_GA(x1, x3)
QUOTL_IN_GA(x1, x2) = QUOTL_IN_GA(x1)
U11_GA(x1, x2) = U11_GA(x1, x2)
U12_GA(x1, x2, x3) = U12_GA(x1, x3)
U62_GGA(x1, x2, x3) = U62_GGA(x1, x3)
U63_GGA(x1, x2) = U63_GGA(x1, x2)
QUOTM_IN_G(x1) = QUOTM_IN_G(x1)
U13_G(x1, x2) = U13_G(x1, x2)
QUOTN_IN_G(x1) = QUOTN_IN_G(x1)
U32_G(x1, x2) = U32_G(x1, x2)
U64_GGA(x1, x2, x3) = U64_GGA(x1, x3)
QUOTO_IN_GA(x1, x2) = QUOTO_IN_GA(x1)
U14_GA(x1, x2, x3) = U14_GA(x1, x3)
QUOTP_IN_GA(x1, x2) = QUOTP_IN_GA(x1)
U15_GA(x1, x2) = U15_GA(x1, x2)
U16_GA(x1, x2, x3) = U16_GA(x1, x3)
U65_GGA(x1, x2, x3) = U65_GGA(x1, x3)
U66_GGA(x1, x2) = U66_GGA(x1, x2)
QUOTQ_IN_G(x1) = QUOTQ_IN_G(x1)
U17_G(x1, x2) = U17_G(x1, x2)
QUOTR_IN_G(x1) = QUOTR_IN_G(x1)
U33_G(x1, x2) = U33_G(x1, x2)
U67_GGA(x1, x2, x3) = U67_GGA(x1, x3)
QUOTS_IN_GA(x1, x2) = QUOTS_IN_GA(x1)
U18_GA(x1, x2, x3) = U18_GA(x1, x3)
QUOTT_IN_GA(x1, x2) = QUOTT_IN_GA(x1)
U19_GA(x1, x2) = U19_GA(x1, x2)
U20_GA(x1, x2, x3) = U20_GA(x1, x3)
U68_GGA(x1, x2, x3) = U68_GGA(x1, x3)
U69_GGA(x1, x2) = U69_GGA(x1, x2)
QUOTU_IN_G(x1) = QUOTU_IN_G(x1)
U21_G(x1, x2) = U21_G(x1, x2)
QUOTV_IN_G(x1) = QUOTV_IN_G(x1)
U34_G(x1, x2) = U34_G(x1, x2)
U70_GGA(x1, x2, x3) = U70_GGA(x1, x3)
QUOTW_IN_GA(x1, x2) = QUOTW_IN_GA(x1)
U22_GA(x1, x2, x3) = U22_GA(x1, x3)
QUOTX_IN_GA(x1, x2) = QUOTX_IN_GA(x1)
U23_GA(x1, x2) = U23_GA(x1, x2)
U24_GA(x1, x2, x3) = U24_GA(x1, x3)
U71_GGA(x1, x2, x3) = U71_GGA(x1, x3)
U72_GGA(x1, x2) = U72_GGA(x1, x2)
QUOTY_IN_G(x1) = QUOTY_IN_G(x1)
U25_G(x1, x2) = U25_G(x1, x2)
QUOTZ_IN_G(x1) = QUOTZ_IN_G(x1)
U35_G(x1, x2) = U35_G(x1, x2)
U73_GGA(x1, x2, x3) = U73_GGA(x1, x3)
QUOTN1_IN_GA(x1, x2) = QUOTN1_IN_GA(x1)
U26_GA(x1, x2, x3) = U26_GA(x1, x3)
QUOTN2_IN_GA(x1, x2) = QUOTN2_IN_GA(x1)
U27_GA(x1, x2) = U27_GA(x1, x2)
U28_GA(x1, x2, x3) = U28_GA(x1, x3)
U74_GGA(x1, x2, x3) = U74_GGA(x1, x3)
U75_GGA(x1, x2, x3, x4) = U75_GGA(x1, x2, x4)
QUOTN6_IN_GGGA(x1, x2, x3, x4) = QUOTN6_IN_GGGA(x1, x2, x3)
U76_GGGA(x1, x2, x3) = U76_GGGA(x1, x2, x3)
QUOTN3_IN_GG(x1, x2) = QUOTN3_IN_GG(x1, x2)
U36_GG(x1, x2) = U36_GG(x1, x2)
U37_GG(x1, x2) = U37_GG(x1, x2)
U38_GG(x1, x2) = U38_GG(x1, x2)
U39_GG(x1, x2) = U39_GG(x1, x2)
U40_GG(x1, x2) = U40_GG(x1, x2)
U41_GG(x1, x2) = U41_GG(x1, x2)
U42_GG(x1, x2) = U42_GG(x1, x2)
U43_GG(x1, x2) = U43_GG(x1, x2)
U44_GG(x1, x2) = U44_GG(x1, x2)
U45_GG(x1, x2) = U45_GG(x1, x2)
U46_GG(x1, x2) = U46_GG(x1, x2)
U47_GG(x1, x2) = U47_GG(x1, x2)
U48_GG(x1, x2) = U48_GG(x1, x2)
U49_GG(x1, x2) = U49_GG(x1, x2)
U50_GG(x1, x2, x3) = U50_GG(x1, x2, x3)
QUOTN4_IN_GGG(x1, x2, x3) = QUOTN4_IN_GGG(x1, x2, x3)
U51_GGG(x1, x2, x3) = U51_GGG(x1, x2, x3)
U52_GGG(x1, x2, x3) = U52_GGG(x1, x2, x3)
U53_GGG(x1, x2, x3, x4) = U53_GGG(x1, x2, x3, x4)
U77_GGGA(x1, x2, x3, x4) = U77_GGGA(x1, x2, x4)
U78_GGGA(x1, x2, x3) = U78_GGGA(x1, x2, x3)
U79_GGGA(x1, x2, x3, x4) = U79_GGGA(x1, x2, x4)
U80_GGGA(x1, x2, x3, x4, x5) = U80_GGGA(x1, x2, x3, x5)

We have to consider all (P,R,Pi)-chains

(6) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

DIVN7_IN_GGA(T7, T8, T10) → U81_GGA(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
DIVN7_IN_GGA(T7, T8, T10) → QUOTN5_IN_GGA(T7, T8, T10)
QUOTN5_IN_GGA(s(T75), s(0), 0) → U54_GGA(T75, quotA_in_g(T75))
QUOTN5_IN_GGA(s(T75), s(0), 0) → QUOTA_IN_G(T75)
QUOTA_IN_G(s(T81)) → U1_G(T81, quotB_in_g(T81))
QUOTA_IN_G(s(T81)) → QUOTB_IN_G(T81)
QUOTB_IN_G(T84) → U29_G(T84, quotA_in_g(T84))
QUOTB_IN_G(T84) → QUOTA_IN_G(T84)
QUOTN5_IN_GGA(s(T75), s(0), s(T88)) → U55_GGA(T75, T88, quotC_in_ga(T75, T88))
QUOTN5_IN_GGA(s(T75), s(0), s(T88)) → QUOTC_IN_GA(T75, T88)
QUOTC_IN_GA(s(T102), T104) → U2_GA(T102, T104, quotD_in_ga(T102, T104))
QUOTC_IN_GA(s(T102), T104) → QUOTD_IN_GA(T102, T104)
QUOTD_IN_GA(T111, 0) → U3_GA(T111, quotA_in_g(T111))
QUOTD_IN_GA(T111, 0) → QUOTA_IN_G(T111)
QUOTD_IN_GA(T111, s(T117)) → U4_GA(T111, T117, quotC_in_ga(T111, T117))
QUOTD_IN_GA(T111, s(T117)) → QUOTC_IN_GA(T111, T117)
QUOTN5_IN_GGA(s(s(T125)), s(0), T128) → U56_GGA(T125, T128, quotD_in_ga(T125, T128))
QUOTN5_IN_GGA(s(s(T125)), s(0), T128) → QUOTD_IN_GA(T125, T128)
QUOTN5_IN_GGA(s(s(T154)), s(s(0)), 0) → U57_GGA(T154, quotE_in_g(T154))
QUOTN5_IN_GGA(s(s(T154)), s(s(0)), 0) → QUOTE_IN_G(T154)
QUOTE_IN_G(s(s(T164))) → U5_G(T164, quotF_in_g(T164))
QUOTE_IN_G(s(s(T164))) → QUOTF_IN_G(T164)
QUOTF_IN_G(T167) → U30_G(T167, quotE_in_g(T167))
QUOTF_IN_G(T167) → QUOTE_IN_G(T167)
QUOTN5_IN_GGA(s(s(T154)), s(s(0)), s(T171)) → U58_GGA(T154, T171, quotG_in_ga(T154, T171))
QUOTN5_IN_GGA(s(s(T154)), s(s(0)), s(T171)) → QUOTG_IN_GA(T154, T171)
QUOTG_IN_GA(s(s(T203)), T205) → U6_GA(T203, T205, quotH_in_ga(T203, T205))
QUOTG_IN_GA(s(s(T203)), T205) → QUOTH_IN_GA(T203, T205)
QUOTH_IN_GA(T212, 0) → U7_GA(T212, quotE_in_g(T212))
QUOTH_IN_GA(T212, 0) → QUOTE_IN_G(T212)
QUOTH_IN_GA(T212, s(T218)) → U8_GA(T212, T218, quotG_in_ga(T212, T218))
QUOTH_IN_GA(T212, s(T218)) → QUOTG_IN_GA(T212, T218)
QUOTN5_IN_GGA(s(s(s(T226))), s(s(0)), T229) → U59_GGA(T226, T229, quotH_in_ga(T226, T229))
QUOTN5_IN_GGA(s(s(s(T226))), s(s(0)), T229) → QUOTH_IN_GA(T226, T229)
QUOTN5_IN_GGA(s(s(s(T255))), s(s(s(0))), 0) → U60_GGA(T255, quotI_in_g(T255))
QUOTN5_IN_GGA(s(s(s(T255))), s(s(s(0))), 0) → QUOTI_IN_G(T255)
QUOTI_IN_G(s(s(s(T269)))) → U9_G(T269, quotJ_in_g(T269))
QUOTI_IN_G(s(s(s(T269)))) → QUOTJ_IN_G(T269)
QUOTJ_IN_G(T272) → U31_G(T272, quotI_in_g(T272))
QUOTJ_IN_G(T272) → QUOTI_IN_G(T272)
QUOTN5_IN_GGA(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_GGA(T255, T276, quotK_in_ga(T255, T276))
QUOTN5_IN_GGA(s(s(s(T255))), s(s(s(0))), s(T276)) → QUOTK_IN_GA(T255, T276)
QUOTK_IN_GA(s(s(s(T326))), T328) → U10_GA(T326, T328, quotL_in_ga(T326, T328))
QUOTK_IN_GA(s(s(s(T326))), T328) → QUOTL_IN_GA(T326, T328)
QUOTL_IN_GA(T335, 0) → U11_GA(T335, quotI_in_g(T335))
QUOTL_IN_GA(T335, 0) → QUOTI_IN_G(T335)
QUOTL_IN_GA(T335, s(T341)) → U12_GA(T335, T341, quotK_in_ga(T335, T341))
QUOTL_IN_GA(T335, s(T341)) → QUOTK_IN_GA(T335, T341)
QUOTN5_IN_GGA(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_GGA(T349, T352, quotL_in_ga(T349, T352))
QUOTN5_IN_GGA(s(s(s(s(T349)))), s(s(s(0))), T352) → QUOTL_IN_GA(T349, T352)
QUOTN5_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_GGA(T378, quotM_in_g(T378))
QUOTN5_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → QUOTM_IN_G(T378)
QUOTM_IN_G(s(s(s(s(T396))))) → U13_G(T396, quotN_in_g(T396))
QUOTM_IN_G(s(s(s(s(T396))))) → QUOTN_IN_G(T396)
QUOTN_IN_G(T399) → U32_G(T399, quotM_in_g(T399))
QUOTN_IN_G(T399) → QUOTM_IN_G(T399)
QUOTN5_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_GGA(T378, T403, quotO_in_ga(T378, T403))
QUOTN5_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → QUOTO_IN_GA(T378, T403)
QUOTO_IN_GA(s(s(s(s(T471)))), T473) → U14_GA(T471, T473, quotP_in_ga(T471, T473))
QUOTO_IN_GA(s(s(s(s(T471)))), T473) → QUOTP_IN_GA(T471, T473)
QUOTP_IN_GA(T480, 0) → U15_GA(T480, quotM_in_g(T480))
QUOTP_IN_GA(T480, 0) → QUOTM_IN_G(T480)
QUOTP_IN_GA(T480, s(T486)) → U16_GA(T480, T486, quotO_in_ga(T480, T486))
QUOTP_IN_GA(T480, s(T486)) → QUOTO_IN_GA(T480, T486)
QUOTN5_IN_GGA(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_GGA(T494, T497, quotP_in_ga(T494, T497))
QUOTN5_IN_GGA(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → QUOTP_IN_GA(T494, T497)
QUOTN5_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_GGA(T523, quotQ_in_g(T523))
QUOTN5_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → QUOTQ_IN_G(T523)
QUOTQ_IN_G(s(s(s(s(s(T545)))))) → U17_G(T545, quotR_in_g(T545))
QUOTQ_IN_G(s(s(s(s(s(T545)))))) → QUOTR_IN_G(T545)
QUOTR_IN_G(T548) → U33_G(T548, quotQ_in_g(T548))
QUOTR_IN_G(T548) → QUOTQ_IN_G(T548)
QUOTN5_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_GGA(T523, T552, quotS_in_ga(T523, T552))
QUOTN5_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → QUOTS_IN_GA(T523, T552)
QUOTS_IN_GA(s(s(s(s(s(T638))))), T640) → U18_GA(T638, T640, quotT_in_ga(T638, T640))
QUOTS_IN_GA(s(s(s(s(s(T638))))), T640) → QUOTT_IN_GA(T638, T640)
QUOTT_IN_GA(T647, 0) → U19_GA(T647, quotQ_in_g(T647))
QUOTT_IN_GA(T647, 0) → QUOTQ_IN_G(T647)
QUOTT_IN_GA(T647, s(T653)) → U20_GA(T647, T653, quotS_in_ga(T647, T653))
QUOTT_IN_GA(T647, s(T653)) → QUOTS_IN_GA(T647, T653)
QUOTN5_IN_GGA(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_GGA(T661, T664, quotT_in_ga(T661, T664))
QUOTN5_IN_GGA(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → QUOTT_IN_GA(T661, T664)
QUOTN5_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_GGA(T690, quotU_in_g(T690))
QUOTN5_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → QUOTU_IN_G(T690)
QUOTU_IN_G(s(s(s(s(s(s(T716))))))) → U21_G(T716, quotV_in_g(T716))
QUOTU_IN_G(s(s(s(s(s(s(T716))))))) → QUOTV_IN_G(T716)
QUOTV_IN_G(T719) → U34_G(T719, quotU_in_g(T719))
QUOTV_IN_G(T719) → QUOTU_IN_G(T719)
QUOTN5_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_GGA(T690, T723, quotW_in_ga(T690, T723))
QUOTN5_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → QUOTW_IN_GA(T690, T723)
QUOTW_IN_GA(s(s(s(s(s(s(T827)))))), T829) → U22_GA(T827, T829, quotX_in_ga(T827, T829))
QUOTW_IN_GA(s(s(s(s(s(s(T827)))))), T829) → QUOTX_IN_GA(T827, T829)
QUOTX_IN_GA(T836, 0) → U23_GA(T836, quotU_in_g(T836))
QUOTX_IN_GA(T836, 0) → QUOTU_IN_G(T836)
QUOTX_IN_GA(T836, s(T842)) → U24_GA(T836, T842, quotW_in_ga(T836, T842))
QUOTX_IN_GA(T836, s(T842)) → QUOTW_IN_GA(T836, T842)
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_GGA(T850, T853, quotX_in_ga(T850, T853))
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → QUOTX_IN_GA(T850, T853)
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_GGA(T879, quotY_in_g(T879))
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOTY_IN_G(T879)
QUOTY_IN_G(s(s(s(s(s(s(s(T909)))))))) → U25_G(T909, quotZ_in_g(T909))
QUOTY_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTZ_IN_G(T909)
QUOTZ_IN_G(T912) → U35_G(T912, quotY_in_g(T912))
QUOTZ_IN_G(T912) → QUOTY_IN_G(T912)
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_GGA(T879, T916, quotN1_in_ga(T879, T916))
QUOTN5_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → QUOTN1_IN_GA(T879, T916)
QUOTN1_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_GA(T1038, T1040, quotN2_in_ga(T1038, T1040))
QUOTN1_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → QUOTN2_IN_GA(T1038, T1040)
QUOTN2_IN_GA(T1047, 0) → U27_GA(T1047, quotY_in_g(T1047))
QUOTN2_IN_GA(T1047, 0) → QUOTY_IN_G(T1047)
QUOTN2_IN_GA(T1047, s(T1053)) → U28_GA(T1047, T1053, quotN1_in_ga(T1047, T1053))
QUOTN2_IN_GA(T1047, s(T1053)) → QUOTN1_IN_GA(T1047, T1053)
QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_GGA(T1061, T1064, quotN2_in_ga(T1061, T1064))
QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → QUOTN2_IN_GA(T1061, T1064)
QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_GGA(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → QUOTN6_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)
QUOTN6_IN_GGGA(T1101, 0, T1109, 0) → U76_GGGA(T1101, T1109, quotN3_in_gg(T1101, T1109))
QUOTN6_IN_GGGA(T1101, 0, T1109, 0) → QUOTN3_IN_GG(T1101, T1109)
QUOTN3_IN_GG(s(T1135), 0) → U36_GG(T1135, quotA_in_g(T1135))
QUOTN3_IN_GG(s(T1135), 0) → QUOTA_IN_G(T1135)
QUOTN3_IN_GG(s(s(T1140)), 0) → U37_GG(T1140, quotB_in_g(T1140))
QUOTN3_IN_GG(s(s(T1140)), 0) → QUOTB_IN_G(T1140)
QUOTN3_IN_GG(s(s(T1154)), s(0)) → U38_GG(T1154, quotE_in_g(T1154))
QUOTN3_IN_GG(s(s(T1154)), s(0)) → QUOTE_IN_G(T1154)
QUOTN3_IN_GG(s(s(s(T1159))), s(0)) → U39_GG(T1159, quotF_in_g(T1159))
QUOTN3_IN_GG(s(s(s(T1159))), s(0)) → QUOTF_IN_G(T1159)
QUOTN3_IN_GG(s(s(s(T1173))), s(s(0))) → U40_GG(T1173, quotI_in_g(T1173))
QUOTN3_IN_GG(s(s(s(T1173))), s(s(0))) → QUOTI_IN_G(T1173)
QUOTN3_IN_GG(s(s(s(s(T1178)))), s(s(0))) → U41_GG(T1178, quotJ_in_g(T1178))
QUOTN3_IN_GG(s(s(s(s(T1178)))), s(s(0))) → QUOTJ_IN_G(T1178)
QUOTN3_IN_GG(s(s(s(s(T1192)))), s(s(s(0)))) → U42_GG(T1192, quotM_in_g(T1192))
QUOTN3_IN_GG(s(s(s(s(T1192)))), s(s(s(0)))) → QUOTM_IN_G(T1192)
QUOTN3_IN_GG(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_GG(T1197, quotN_in_g(T1197))
QUOTN3_IN_GG(s(s(s(s(s(T1197))))), s(s(s(0)))) → QUOTN_IN_G(T1197)
QUOTN3_IN_GG(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_GG(T1211, quotQ_in_g(T1211))
QUOTN3_IN_GG(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → QUOTQ_IN_G(T1211)
QUOTN3_IN_GG(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_GG(T1216, quotR_in_g(T1216))
QUOTN3_IN_GG(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → QUOTR_IN_G(T1216)
QUOTN3_IN_GG(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_GG(T1230, quotU_in_g(T1230))
QUOTN3_IN_GG(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → QUOTU_IN_G(T1230)
QUOTN3_IN_GG(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_GG(T1235, quotV_in_g(T1235))
QUOTN3_IN_GG(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → QUOTV_IN_G(T1235)
QUOTN3_IN_GG(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_GG(T1249, quotY_in_g(T1249))
QUOTN3_IN_GG(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → QUOTY_IN_G(T1249)
QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_GG(T1254, quotZ_in_g(T1254))
QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → QUOTZ_IN_G(T1254)
QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_GG(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN4_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
QUOTN4_IN_GGG(T1278, 0, T1284) → U51_GGG(T1278, T1284, quotN3_in_gg(T1278, T1284))
QUOTN4_IN_GGG(T1278, 0, T1284) → QUOTN3_IN_GG(T1278, T1284)
QUOTN4_IN_GGG(s(T1303), 0, T1309) → U52_GGG(T1303, T1309, quotN3_in_gg(T1303, T1309))
QUOTN4_IN_GGG(s(T1303), 0, T1309) → QUOTN3_IN_GG(T1303, T1309)
QUOTN4_IN_GGG(s(T1295), s(T1316), T1297) → U53_GGG(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
QUOTN4_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN4_IN_GGG(T1295, T1316, T1297)
QUOTN6_IN_GGGA(T1101, 0, T1109, s(T1322)) → U77_GGGA(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
QUOTN6_IN_GGGA(T1101, 0, T1109, s(T1322)) → QUOTN5_IN_GGA(T1101, s(T1109), T1322)
QUOTN6_IN_GGGA(s(T1347), 0, T1355, 0) → U78_GGGA(T1347, T1355, quotN3_in_gg(T1347, T1355))
QUOTN6_IN_GGGA(s(T1347), 0, T1355, 0) → QUOTN3_IN_GG(T1347, T1355)
QUOTN6_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → U79_GGGA(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
QUOTN6_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → QUOTN5_IN_GGA(T1347, s(T1355), T1361)
QUOTN6_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → U80_GGGA(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
QUOTN6_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → QUOTN6_IN_GGGA(T1333, T1366, T1335, T1337)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(7) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 16 SCCs with 126 less nodes.

(8) Complex Obligation (AND)

(9) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTY_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTZ_IN_G(T909)
QUOTZ_IN_G(T912) → QUOTY_IN_G(T912)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(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:

QUOTY_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTZ_IN_G(T909)
QUOTZ_IN_G(T912) → QUOTY_IN_G(T912)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(12) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(13) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTY_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTZ_IN_G(T909)
QUOTZ_IN_G(T912) → QUOTY_IN_G(T912)

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:

QUOTZ_IN_G(T912) → QUOTY_IN_G(T912)
The graph contains the following edges 1 >= 1
QUOTY_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTZ_IN_G(T909)
The graph contains the following edges 1 > 1

(15) YES

(16) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTN2_IN_GA(T1047, s(T1053)) → QUOTN1_IN_GA(T1047, T1053)
QUOTN1_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → QUOTN2_IN_GA(T1038, T1040)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(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:

QUOTN2_IN_GA(T1047, s(T1053)) → QUOTN1_IN_GA(T1047, T1053)
QUOTN1_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → QUOTN2_IN_GA(T1038, T1040)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTN1_IN_GA(x1, x2) = QUOTN1_IN_GA(x1)
QUOTN2_IN_GA(x1, x2) = QUOTN2_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:

QUOTN2_IN_GA(T1047) → QUOTN1_IN_GA(T1047)
QUOTN1_IN_GA(s(s(s(s(s(s(s(T1038)))))))) → QUOTN2_IN_GA(T1038)

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:

QUOTN1_IN_GA(s(s(s(s(s(s(s(T1038)))))))) → QUOTN2_IN_GA(T1038)
The graph contains the following edges 1 > 1
QUOTN2_IN_GA(T1047) → QUOTN1_IN_GA(T1047)
The graph contains the following edges 1 >= 1

(22) YES

(23) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTU_IN_G(s(s(s(s(s(s(T716))))))) → QUOTV_IN_G(T716)
QUOTV_IN_G(T719) → QUOTU_IN_G(T719)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(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:

QUOTU_IN_G(s(s(s(s(s(s(T716))))))) → QUOTV_IN_G(T716)
QUOTV_IN_G(T719) → QUOTU_IN_G(T719)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(26) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(27) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTU_IN_G(s(s(s(s(s(s(T716))))))) → QUOTV_IN_G(T716)
QUOTV_IN_G(T719) → QUOTU_IN_G(T719)

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:

QUOTV_IN_G(T719) → QUOTU_IN_G(T719)
The graph contains the following edges 1 >= 1
QUOTU_IN_G(s(s(s(s(s(s(T716))))))) → QUOTV_IN_G(T716)
The graph contains the following edges 1 > 1

(29) YES

(30) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTX_IN_GA(T836, s(T842)) → QUOTW_IN_GA(T836, T842)
QUOTW_IN_GA(s(s(s(s(s(s(T827)))))), T829) → QUOTX_IN_GA(T827, T829)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(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:

QUOTX_IN_GA(T836, s(T842)) → QUOTW_IN_GA(T836, T842)
QUOTW_IN_GA(s(s(s(s(s(s(T827)))))), T829) → QUOTX_IN_GA(T827, T829)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTW_IN_GA(x1, x2) = QUOTW_IN_GA(x1)
QUOTX_IN_GA(x1, x2) = QUOTX_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:

QUOTX_IN_GA(T836) → QUOTW_IN_GA(T836)
QUOTW_IN_GA(s(s(s(s(s(s(T827))))))) → QUOTX_IN_GA(T827)

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:

QUOTW_IN_GA(s(s(s(s(s(s(T827))))))) → QUOTX_IN_GA(T827)
The graph contains the following edges 1 > 1
QUOTX_IN_GA(T836) → QUOTW_IN_GA(T836)
The graph contains the following edges 1 >= 1

(36) YES

(37) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTQ_IN_G(s(s(s(s(s(T545)))))) → QUOTR_IN_G(T545)
QUOTR_IN_G(T548) → QUOTQ_IN_G(T548)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(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:

QUOTQ_IN_G(s(s(s(s(s(T545)))))) → QUOTR_IN_G(T545)
QUOTR_IN_G(T548) → QUOTQ_IN_G(T548)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(40) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(41) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTQ_IN_G(s(s(s(s(s(T545)))))) → QUOTR_IN_G(T545)
QUOTR_IN_G(T548) → QUOTQ_IN_G(T548)

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:

QUOTR_IN_G(T548) → QUOTQ_IN_G(T548)
The graph contains the following edges 1 >= 1
QUOTQ_IN_G(s(s(s(s(s(T545)))))) → QUOTR_IN_G(T545)
The graph contains the following edges 1 > 1

(43) YES

(44) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTT_IN_GA(T647, s(T653)) → QUOTS_IN_GA(T647, T653)
QUOTS_IN_GA(s(s(s(s(s(T638))))), T640) → QUOTT_IN_GA(T638, T640)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(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:

QUOTT_IN_GA(T647, s(T653)) → QUOTS_IN_GA(T647, T653)
QUOTS_IN_GA(s(s(s(s(s(T638))))), T640) → QUOTT_IN_GA(T638, T640)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTS_IN_GA(x1, x2) = QUOTS_IN_GA(x1)
QUOTT_IN_GA(x1, x2) = QUOTT_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:

QUOTT_IN_GA(T647) → QUOTS_IN_GA(T647)
QUOTS_IN_GA(s(s(s(s(s(T638)))))) → QUOTT_IN_GA(T638)

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:

QUOTS_IN_GA(s(s(s(s(s(T638)))))) → QUOTT_IN_GA(T638)
The graph contains the following edges 1 > 1
QUOTT_IN_GA(T647) → QUOTS_IN_GA(T647)
The graph contains the following edges 1 >= 1

(50) YES

(51) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTM_IN_G(s(s(s(s(T396))))) → QUOTN_IN_G(T396)
QUOTN_IN_G(T399) → QUOTM_IN_G(T399)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(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:

QUOTM_IN_G(s(s(s(s(T396))))) → QUOTN_IN_G(T396)
QUOTN_IN_G(T399) → QUOTM_IN_G(T399)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(54) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(55) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTM_IN_G(s(s(s(s(T396))))) → QUOTN_IN_G(T396)
QUOTN_IN_G(T399) → QUOTM_IN_G(T399)

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:

QUOTN_IN_G(T399) → QUOTM_IN_G(T399)
The graph contains the following edges 1 >= 1
QUOTM_IN_G(s(s(s(s(T396))))) → QUOTN_IN_G(T396)
The graph contains the following edges 1 > 1

(57) YES

(58) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTP_IN_GA(T480, s(T486)) → QUOTO_IN_GA(T480, T486)
QUOTO_IN_GA(s(s(s(s(T471)))), T473) → QUOTP_IN_GA(T471, T473)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(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:

QUOTP_IN_GA(T480, s(T486)) → QUOTO_IN_GA(T480, T486)
QUOTO_IN_GA(s(s(s(s(T471)))), T473) → QUOTP_IN_GA(T471, T473)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTO_IN_GA(x1, x2) = QUOTO_IN_GA(x1)
QUOTP_IN_GA(x1, x2) = QUOTP_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(61) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(62) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTP_IN_GA(T480) → QUOTO_IN_GA(T480)
QUOTO_IN_GA(s(s(s(s(T471))))) → QUOTP_IN_GA(T471)

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:

QUOTO_IN_GA(s(s(s(s(T471))))) → QUOTP_IN_GA(T471)
The graph contains the following edges 1 > 1
QUOTP_IN_GA(T480) → QUOTO_IN_GA(T480)
The graph contains the following edges 1 >= 1

(64) YES

(65) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTI_IN_G(s(s(s(T269)))) → QUOTJ_IN_G(T269)
QUOTJ_IN_G(T272) → QUOTI_IN_G(T272)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(66) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(67) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTI_IN_G(s(s(s(T269)))) → QUOTJ_IN_G(T269)
QUOTJ_IN_G(T272) → QUOTI_IN_G(T272)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(68) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(69) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTI_IN_G(s(s(s(T269)))) → QUOTJ_IN_G(T269)
QUOTJ_IN_G(T272) → QUOTI_IN_G(T272)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(70) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTJ_IN_G(T272) → QUOTI_IN_G(T272)
The graph contains the following edges 1 >= 1
QUOTI_IN_G(s(s(s(T269)))) → QUOTJ_IN_G(T269)
The graph contains the following edges 1 > 1

(71) YES

(72) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTL_IN_GA(T335, s(T341)) → QUOTK_IN_GA(T335, T341)
QUOTK_IN_GA(s(s(s(T326))), T328) → QUOTL_IN_GA(T326, T328)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(73) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(74) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTL_IN_GA(T335, s(T341)) → QUOTK_IN_GA(T335, T341)
QUOTK_IN_GA(s(s(s(T326))), T328) → QUOTL_IN_GA(T326, T328)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTK_IN_GA(x1, x2) = QUOTK_IN_GA(x1)
QUOTL_IN_GA(x1, x2) = QUOTL_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(75) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(76) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTL_IN_GA(T335) → QUOTK_IN_GA(T335)
QUOTK_IN_GA(s(s(s(T326)))) → QUOTL_IN_GA(T326)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(77) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTK_IN_GA(s(s(s(T326)))) → QUOTL_IN_GA(T326)
The graph contains the following edges 1 > 1
QUOTL_IN_GA(T335) → QUOTK_IN_GA(T335)
The graph contains the following edges 1 >= 1

(78) YES

(79) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTE_IN_G(s(s(T164))) → QUOTF_IN_G(T164)
QUOTF_IN_G(T167) → QUOTE_IN_G(T167)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(80) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(81) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTE_IN_G(s(s(T164))) → QUOTF_IN_G(T164)
QUOTF_IN_G(T167) → QUOTE_IN_G(T167)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(82) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(83) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTE_IN_G(s(s(T164))) → QUOTF_IN_G(T164)
QUOTF_IN_G(T167) → QUOTE_IN_G(T167)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(84) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTF_IN_G(T167) → QUOTE_IN_G(T167)
The graph contains the following edges 1 >= 1
QUOTE_IN_G(s(s(T164))) → QUOTF_IN_G(T164)
The graph contains the following edges 1 > 1

(85) YES

(86) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTH_IN_GA(T212, s(T218)) → QUOTG_IN_GA(T212, T218)
QUOTG_IN_GA(s(s(T203)), T205) → QUOTH_IN_GA(T203, T205)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(87) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(88) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTH_IN_GA(T212, s(T218)) → QUOTG_IN_GA(T212, T218)
QUOTG_IN_GA(s(s(T203)), T205) → QUOTH_IN_GA(T203, T205)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTG_IN_GA(x1, x2) = QUOTG_IN_GA(x1)
QUOTH_IN_GA(x1, x2) = QUOTH_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(89) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(90) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTH_IN_GA(T212) → QUOTG_IN_GA(T212)
QUOTG_IN_GA(s(s(T203))) → QUOTH_IN_GA(T203)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(91) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTG_IN_GA(s(s(T203))) → QUOTH_IN_GA(T203)
The graph contains the following edges 1 > 1
QUOTH_IN_GA(T212) → QUOTG_IN_GA(T212)
The graph contains the following edges 1 >= 1

(92) YES

(93) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTA_IN_G(s(T81)) → QUOTB_IN_G(T81)
QUOTB_IN_G(T84) → QUOTA_IN_G(T84)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(94) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(95) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTA_IN_G(s(T81)) → QUOTB_IN_G(T81)
QUOTB_IN_G(T84) → QUOTA_IN_G(T84)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(96) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(97) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTA_IN_G(s(T81)) → QUOTB_IN_G(T81)
QUOTB_IN_G(T84) → QUOTA_IN_G(T84)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(98) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTB_IN_G(T84) → QUOTA_IN_G(T84)
The graph contains the following edges 1 >= 1
QUOTA_IN_G(s(T81)) → QUOTB_IN_G(T81)
The graph contains the following edges 1 > 1

(99) YES

(100) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN4_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
QUOTN4_IN_GGG(T1278, 0, T1284) → QUOTN3_IN_GG(T1278, T1284)
QUOTN4_IN_GGG(s(T1303), 0, T1309) → QUOTN3_IN_GG(T1303, T1309)
QUOTN4_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN4_IN_GGG(T1295, T1316, T1297)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(101) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(102) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN4_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
QUOTN4_IN_GGG(T1278, 0, T1284) → QUOTN3_IN_GG(T1278, T1284)
QUOTN4_IN_GGG(s(T1303), 0, T1309) → QUOTN3_IN_GG(T1303, T1309)
QUOTN4_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN4_IN_GGG(T1295, T1316, T1297)

R is empty.
Pi is empty.
We have to consider all (P,R,Pi)-chains

(103) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(104) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN4_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
QUOTN4_IN_GGG(T1278, 0, T1284) → QUOTN3_IN_GG(T1278, T1284)
QUOTN4_IN_GGG(s(T1303), 0, T1309) → QUOTN3_IN_GG(T1303, T1309)
QUOTN4_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN4_IN_GGG(T1295, T1316, T1297)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(105) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTN4_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN4_IN_GGG(T1295, T1316, T1297)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
QUOTN3_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN4_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
The graph contains the following edges 1 > 1, 2 > 2, 2 >= 3
QUOTN4_IN_GGG(T1278, 0, T1284) → QUOTN3_IN_GG(T1278, T1284)
The graph contains the following edges 1 >= 1, 3 >= 2
QUOTN4_IN_GGG(s(T1303), 0, T1309) → QUOTN3_IN_GG(T1303, T1309)
The graph contains the following edges 1 > 1, 3 >= 2

(106) YES

(107) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTD_IN_GA(T111, s(T117)) → QUOTC_IN_GA(T111, T117)
QUOTC_IN_GA(s(T102), T104) → QUOTD_IN_GA(T102, T104)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(108) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(109) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTD_IN_GA(T111, s(T117)) → QUOTC_IN_GA(T111, T117)
QUOTC_IN_GA(s(T102), T104) → QUOTD_IN_GA(T102, T104)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTC_IN_GA(x1, x2) = QUOTC_IN_GA(x1)
QUOTD_IN_GA(x1, x2) = QUOTD_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(110) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(111) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTD_IN_GA(T111) → QUOTC_IN_GA(T111)
QUOTC_IN_GA(s(T102)) → QUOTD_IN_GA(T102)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(112) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTC_IN_GA(s(T102)) → QUOTD_IN_GA(T102)
The graph contains the following edges 1 > 1
QUOTD_IN_GA(T111) → QUOTC_IN_GA(T111)
The graph contains the following edges 1 >= 1

(113) YES

(114) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → QUOTN6_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)
QUOTN6_IN_GGGA(T1101, 0, T1109, s(T1322)) → QUOTN5_IN_GGA(T1101, s(T1109), T1322)
QUOTN6_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → QUOTN5_IN_GGA(T1347, s(T1355), T1361)
QUOTN6_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → QUOTN6_IN_GGGA(T1333, T1366, T1335, T1337)

The TRS R consists of the following rules:

divN7_in_gga(T7, T8, T10) → U81_gga(T7, T8, T10, quotN5_in_gga(T7, T8, T10))
quotN5_in_gga(0, s(T15), 0) → quotN5_out_gga(0, s(T15), 0)
quotN5_in_gga(s(0), s(s(T61)), 0) → quotN5_out_gga(s(0), s(s(T61)), 0)
quotN5_in_gga(s(T75), s(0), 0) → U54_gga(T75, quotA_in_g(T75))
quotA_in_g(0) → quotA_out_g(0)
quotA_in_g(s(T81)) → U1_g(T81, quotB_in_g(T81))
quotB_in_g(T84) → U29_g(T84, quotA_in_g(T84))
U29_g(T84, quotA_out_g(T84)) → quotB_out_g(T84)
U1_g(T81, quotB_out_g(T81)) → quotA_out_g(s(T81))
U54_gga(T75, quotA_out_g(T75)) → quotN5_out_gga(s(T75), s(0), 0)
quotN5_in_gga(s(T75), s(0), s(T88)) → U55_gga(T75, T88, quotC_in_ga(T75, T88))
quotC_in_ga(0, 0) → quotC_out_ga(0, 0)
quotC_in_ga(s(T102), T104) → U2_ga(T102, T104, quotD_in_ga(T102, T104))
quotD_in_ga(T111, 0) → U3_ga(T111, quotA_in_g(T111))
U3_ga(T111, quotA_out_g(T111)) → quotD_out_ga(T111, 0)
quotD_in_ga(T111, s(T117)) → U4_ga(T111, T117, quotC_in_ga(T111, T117))
U4_ga(T111, T117, quotC_out_ga(T111, T117)) → quotD_out_ga(T111, s(T117))
U2_ga(T102, T104, quotD_out_ga(T102, T104)) → quotC_out_ga(s(T102), T104)
U55_gga(T75, T88, quotC_out_ga(T75, T88)) → quotN5_out_gga(s(T75), s(0), s(T88))
quotN5_in_gga(s(s(T125)), s(0), T128) → U56_gga(T125, T128, quotD_in_ga(T125, T128))
U56_gga(T125, T128, quotD_out_ga(T125, T128)) → quotN5_out_gga(s(s(T125)), s(0), T128)
quotN5_in_gga(s(s(0)), s(s(s(T140))), 0) → quotN5_out_gga(s(s(0)), s(s(s(T140))), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), 0) → U57_gga(T154, quotE_in_g(T154))
quotE_in_g(0) → quotE_out_g(0)
quotE_in_g(s(0)) → quotE_out_g(s(0))
quotE_in_g(s(s(T164))) → U5_g(T164, quotF_in_g(T164))
quotF_in_g(T167) → U30_g(T167, quotE_in_g(T167))
U30_g(T167, quotE_out_g(T167)) → quotF_out_g(T167)
U5_g(T164, quotF_out_g(T164)) → quotE_out_g(s(s(T164)))
U57_gga(T154, quotE_out_g(T154)) → quotN5_out_gga(s(s(T154)), s(s(0)), 0)
quotN5_in_gga(s(s(T154)), s(s(0)), s(T171)) → U58_gga(T154, T171, quotG_in_ga(T154, T171))
quotG_in_ga(0, 0) → quotG_out_ga(0, 0)
quotG_in_ga(s(0), 0) → quotG_out_ga(s(0), 0)
quotG_in_ga(s(s(T203)), T205) → U6_ga(T203, T205, quotH_in_ga(T203, T205))
quotH_in_ga(T212, 0) → U7_ga(T212, quotE_in_g(T212))
U7_ga(T212, quotE_out_g(T212)) → quotH_out_ga(T212, 0)
quotH_in_ga(T212, s(T218)) → U8_ga(T212, T218, quotG_in_ga(T212, T218))
U8_ga(T212, T218, quotG_out_ga(T212, T218)) → quotH_out_ga(T212, s(T218))
U6_ga(T203, T205, quotH_out_ga(T203, T205)) → quotG_out_ga(s(s(T203)), T205)
U58_gga(T154, T171, quotG_out_ga(T154, T171)) → quotN5_out_gga(s(s(T154)), s(s(0)), s(T171))
quotN5_in_gga(s(s(s(T226))), s(s(0)), T229) → U59_gga(T226, T229, quotH_in_ga(T226, T229))
U59_gga(T226, T229, quotH_out_ga(T226, T229)) → quotN5_out_gga(s(s(s(T226))), s(s(0)), T229)
quotN5_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotN5_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U60_gga(T255, quotI_in_g(T255))
quotI_in_g(0) → quotI_out_g(0)
quotI_in_g(s(0)) → quotI_out_g(s(0))
quotI_in_g(s(s(0))) → quotI_out_g(s(s(0)))
quotI_in_g(s(s(s(T269)))) → U9_g(T269, quotJ_in_g(T269))
quotJ_in_g(T272) → U31_g(T272, quotI_in_g(T272))
U31_g(T272, quotI_out_g(T272)) → quotJ_out_g(T272)
U9_g(T269, quotJ_out_g(T269)) → quotI_out_g(s(s(s(T269))))
U60_gga(T255, quotI_out_g(T255)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotN5_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U61_gga(T255, T276, quotK_in_ga(T255, T276))
quotK_in_ga(0, 0) → quotK_out_ga(0, 0)
quotK_in_ga(s(0), 0) → quotK_out_ga(s(0), 0)
quotK_in_ga(s(s(0)), 0) → quotK_out_ga(s(s(0)), 0)
quotK_in_ga(s(s(s(T326))), T328) → U10_ga(T326, T328, quotL_in_ga(T326, T328))
quotL_in_ga(T335, 0) → U11_ga(T335, quotI_in_g(T335))
U11_ga(T335, quotI_out_g(T335)) → quotL_out_ga(T335, 0)
quotL_in_ga(T335, s(T341)) → U12_ga(T335, T341, quotK_in_ga(T335, T341))
U12_ga(T335, T341, quotK_out_ga(T335, T341)) → quotL_out_ga(T335, s(T341))
U10_ga(T326, T328, quotL_out_ga(T326, T328)) → quotK_out_ga(s(s(s(T326))), T328)
U61_gga(T255, T276, quotK_out_ga(T255, T276)) → quotN5_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotN5_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U62_gga(T349, T352, quotL_in_ga(T349, T352))
U62_gga(T349, T352, quotL_out_ga(T349, T352)) → quotN5_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotN5_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotN5_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U63_gga(T378, quotM_in_g(T378))
quotM_in_g(0) → quotM_out_g(0)
quotM_in_g(s(0)) → quotM_out_g(s(0))
quotM_in_g(s(s(0))) → quotM_out_g(s(s(0)))
quotM_in_g(s(s(s(0)))) → quotM_out_g(s(s(s(0))))
quotM_in_g(s(s(s(s(T396))))) → U13_g(T396, quotN_in_g(T396))
quotN_in_g(T399) → U32_g(T399, quotM_in_g(T399))
U32_g(T399, quotM_out_g(T399)) → quotN_out_g(T399)
U13_g(T396, quotN_out_g(T396)) → quotM_out_g(s(s(s(s(T396)))))
U63_gga(T378, quotM_out_g(T378)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotN5_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U64_gga(T378, T403, quotO_in_ga(T378, T403))
quotO_in_ga(0, 0) → quotO_out_ga(0, 0)
quotO_in_ga(s(0), 0) → quotO_out_ga(s(0), 0)
quotO_in_ga(s(s(0)), 0) → quotO_out_ga(s(s(0)), 0)
quotO_in_ga(s(s(s(0))), 0) → quotO_out_ga(s(s(s(0))), 0)
quotO_in_ga(s(s(s(s(T471)))), T473) → U14_ga(T471, T473, quotP_in_ga(T471, T473))
quotP_in_ga(T480, 0) → U15_ga(T480, quotM_in_g(T480))
U15_ga(T480, quotM_out_g(T480)) → quotP_out_ga(T480, 0)
quotP_in_ga(T480, s(T486)) → U16_ga(T480, T486, quotO_in_ga(T480, T486))
U16_ga(T480, T486, quotO_out_ga(T480, T486)) → quotP_out_ga(T480, s(T486))
U14_ga(T471, T473, quotP_out_ga(T471, T473)) → quotO_out_ga(s(s(s(s(T471)))), T473)
U64_gga(T378, T403, quotO_out_ga(T378, T403)) → quotN5_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotN5_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U65_gga(T494, T497, quotP_in_ga(T494, T497))
U65_gga(T494, T497, quotP_out_ga(T494, T497)) → quotN5_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotN5_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotN5_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U66_gga(T523, quotQ_in_g(T523))
quotQ_in_g(0) → quotQ_out_g(0)
quotQ_in_g(s(0)) → quotQ_out_g(s(0))
quotQ_in_g(s(s(0))) → quotQ_out_g(s(s(0)))
quotQ_in_g(s(s(s(0)))) → quotQ_out_g(s(s(s(0))))
quotQ_in_g(s(s(s(s(0))))) → quotQ_out_g(s(s(s(s(0)))))
quotQ_in_g(s(s(s(s(s(T545)))))) → U17_g(T545, quotR_in_g(T545))
quotR_in_g(T548) → U33_g(T548, quotQ_in_g(T548))
U33_g(T548, quotQ_out_g(T548)) → quotR_out_g(T548)
U17_g(T545, quotR_out_g(T545)) → quotQ_out_g(s(s(s(s(s(T545))))))
U66_gga(T523, quotQ_out_g(T523)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotN5_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U67_gga(T523, T552, quotS_in_ga(T523, T552))
quotS_in_ga(0, 0) → quotS_out_ga(0, 0)
quotS_in_ga(s(0), 0) → quotS_out_ga(s(0), 0)
quotS_in_ga(s(s(0)), 0) → quotS_out_ga(s(s(0)), 0)
quotS_in_ga(s(s(s(0))), 0) → quotS_out_ga(s(s(s(0))), 0)
quotS_in_ga(s(s(s(s(0)))), 0) → quotS_out_ga(s(s(s(s(0)))), 0)
quotS_in_ga(s(s(s(s(s(T638))))), T640) → U18_ga(T638, T640, quotT_in_ga(T638, T640))
quotT_in_ga(T647, 0) → U19_ga(T647, quotQ_in_g(T647))
U19_ga(T647, quotQ_out_g(T647)) → quotT_out_ga(T647, 0)
quotT_in_ga(T647, s(T653)) → U20_ga(T647, T653, quotS_in_ga(T647, T653))
U20_ga(T647, T653, quotS_out_ga(T647, T653)) → quotT_out_ga(T647, s(T653))
U18_ga(T638, T640, quotT_out_ga(T638, T640)) → quotS_out_ga(s(s(s(s(s(T638))))), T640)
U67_gga(T523, T552, quotS_out_ga(T523, T552)) → quotN5_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotN5_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U68_gga(T661, T664, quotT_in_ga(T661, T664))
U68_gga(T661, T664, quotT_out_ga(T661, T664)) → quotN5_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotN5_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U69_gga(T690, quotU_in_g(T690))
quotU_in_g(0) → quotU_out_g(0)
quotU_in_g(s(0)) → quotU_out_g(s(0))
quotU_in_g(s(s(0))) → quotU_out_g(s(s(0)))
quotU_in_g(s(s(s(0)))) → quotU_out_g(s(s(s(0))))
quotU_in_g(s(s(s(s(0))))) → quotU_out_g(s(s(s(s(0)))))
quotU_in_g(s(s(s(s(s(0)))))) → quotU_out_g(s(s(s(s(s(0))))))
quotU_in_g(s(s(s(s(s(s(T716))))))) → U21_g(T716, quotV_in_g(T716))
quotV_in_g(T719) → U34_g(T719, quotU_in_g(T719))
U34_g(T719, quotU_out_g(T719)) → quotV_out_g(T719)
U21_g(T716, quotV_out_g(T716)) → quotU_out_g(s(s(s(s(s(s(T716)))))))
U69_gga(T690, quotU_out_g(T690)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotN5_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U70_gga(T690, T723, quotW_in_ga(T690, T723))
quotW_in_ga(0, 0) → quotW_out_ga(0, 0)
quotW_in_ga(s(0), 0) → quotW_out_ga(s(0), 0)
quotW_in_ga(s(s(0)), 0) → quotW_out_ga(s(s(0)), 0)
quotW_in_ga(s(s(s(0))), 0) → quotW_out_ga(s(s(s(0))), 0)
quotW_in_ga(s(s(s(s(0)))), 0) → quotW_out_ga(s(s(s(s(0)))), 0)
quotW_in_ga(s(s(s(s(s(0))))), 0) → quotW_out_ga(s(s(s(s(s(0))))), 0)
quotW_in_ga(s(s(s(s(s(s(T827)))))), T829) → U22_ga(T827, T829, quotX_in_ga(T827, T829))
quotX_in_ga(T836, 0) → U23_ga(T836, quotU_in_g(T836))
U23_ga(T836, quotU_out_g(T836)) → quotX_out_ga(T836, 0)
quotX_in_ga(T836, s(T842)) → U24_ga(T836, T842, quotW_in_ga(T836, T842))
U24_ga(T836, T842, quotW_out_ga(T836, T842)) → quotX_out_ga(T836, s(T842))
U22_ga(T827, T829, quotX_out_ga(T827, T829)) → quotW_out_ga(s(s(s(s(s(s(T827)))))), T829)
U70_gga(T690, T723, quotW_out_ga(T690, T723)) → quotN5_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotN5_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U71_gga(T850, T853, quotX_in_ga(T850, T853))
U71_gga(T850, T853, quotX_out_ga(T850, T853)) → quotN5_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotN5_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotN5_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U72_gga(T879, quotY_in_g(T879))
quotY_in_g(0) → quotY_out_g(0)
quotY_in_g(s(0)) → quotY_out_g(s(0))
quotY_in_g(s(s(0))) → quotY_out_g(s(s(0)))
quotY_in_g(s(s(s(0)))) → quotY_out_g(s(s(s(0))))
quotY_in_g(s(s(s(s(0))))) → quotY_out_g(s(s(s(s(0)))))
quotY_in_g(s(s(s(s(s(0)))))) → quotY_out_g(s(s(s(s(s(0))))))
quotY_in_g(s(s(s(s(s(s(0))))))) → quotY_out_g(s(s(s(s(s(s(0)))))))
quotY_in_g(s(s(s(s(s(s(s(T909)))))))) → U25_g(T909, quotZ_in_g(T909))
quotZ_in_g(T912) → U35_g(T912, quotY_in_g(T912))
U35_g(T912, quotY_out_g(T912)) → quotZ_out_g(T912)
U25_g(T909, quotZ_out_g(T909)) → quotY_out_g(s(s(s(s(s(s(s(T909))))))))
U72_gga(T879, quotY_out_g(T879)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotN5_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U73_gga(T879, T916, quotN1_in_ga(T879, T916))
quotN1_in_ga(0, 0) → quotN1_out_ga(0, 0)
quotN1_in_ga(s(0), 0) → quotN1_out_ga(s(0), 0)
quotN1_in_ga(s(s(0)), 0) → quotN1_out_ga(s(s(0)), 0)
quotN1_in_ga(s(s(s(0))), 0) → quotN1_out_ga(s(s(s(0))), 0)
quotN1_in_ga(s(s(s(s(0)))), 0) → quotN1_out_ga(s(s(s(s(0)))), 0)
quotN1_in_ga(s(s(s(s(s(0))))), 0) → quotN1_out_ga(s(s(s(s(s(0))))), 0)
quotN1_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN1_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN1_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U26_ga(T1038, T1040, quotN2_in_ga(T1038, T1040))
quotN2_in_ga(T1047, 0) → U27_ga(T1047, quotY_in_g(T1047))
U27_ga(T1047, quotY_out_g(T1047)) → quotN2_out_ga(T1047, 0)
quotN2_in_ga(T1047, s(T1053)) → U28_ga(T1047, T1053, quotN1_in_ga(T1047, T1053))
U28_ga(T1047, T1053, quotN1_out_ga(T1047, T1053)) → quotN2_out_ga(T1047, s(T1053))
U26_ga(T1038, T1040, quotN2_out_ga(T1038, T1040)) → quotN1_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U73_gga(T879, T916, quotN1_out_ga(T879, T916)) → quotN5_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U74_gga(T1061, T1064, quotN2_in_ga(T1061, T1064))
U74_gga(T1061, T1064, quotN2_out_ga(T1061, T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotN5_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U75_gga(T1061, T1069, T1064, quotN6_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN6_in_ggga(0, s(T1082), T1083, 0) → quotN6_out_ggga(0, s(T1082), T1083, 0)
quotN6_in_ggga(T1101, 0, T1109, 0) → U76_ggga(T1101, T1109, quotN3_in_gg(T1101, T1109))
quotN3_in_gg(0, T1114) → quotN3_out_gg(0, T1114)
quotN3_in_gg(s(0), s(T1130)) → quotN3_out_gg(s(0), s(T1130))
quotN3_in_gg(s(T1135), 0) → U36_gg(T1135, quotA_in_g(T1135))
U36_gg(T1135, quotA_out_g(T1135)) → quotN3_out_gg(s(T1135), 0)
quotN3_in_gg(s(s(T1140)), 0) → U37_gg(T1140, quotB_in_g(T1140))
U37_gg(T1140, quotB_out_g(T1140)) → quotN3_out_gg(s(s(T1140)), 0)
quotN3_in_gg(s(s(0)), s(s(T1149))) → quotN3_out_gg(s(s(0)), s(s(T1149)))
quotN3_in_gg(s(s(T1154)), s(0)) → U38_gg(T1154, quotE_in_g(T1154))
U38_gg(T1154, quotE_out_g(T1154)) → quotN3_out_gg(s(s(T1154)), s(0))
quotN3_in_gg(s(s(s(T1159))), s(0)) → U39_gg(T1159, quotF_in_g(T1159))
U39_gg(T1159, quotF_out_g(T1159)) → quotN3_out_gg(s(s(s(T1159))), s(0))
quotN3_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN3_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN3_in_gg(s(s(s(T1173))), s(s(0))) → U40_gg(T1173, quotI_in_g(T1173))
U40_gg(T1173, quotI_out_g(T1173)) → quotN3_out_gg(s(s(s(T1173))), s(s(0)))
quotN3_in_gg(s(s(s(s(T1178)))), s(s(0))) → U41_gg(T1178, quotJ_in_g(T1178))
U41_gg(T1178, quotJ_out_g(T1178)) → quotN3_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN3_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN3_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN3_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U42_gg(T1192, quotM_in_g(T1192))
U42_gg(T1192, quotM_out_g(T1192)) → quotN3_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U43_gg(T1197, quotN_in_g(T1197))
U43_gg(T1197, quotN_out_g(T1197)) → quotN3_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN3_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN3_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN3_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U44_gg(T1211, quotQ_in_g(T1211))
U44_gg(T1211, quotQ_out_g(T1211)) → quotN3_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U45_gg(T1216, quotR_in_g(T1216))
U45_gg(T1216, quotR_out_g(T1216)) → quotN3_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN3_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN3_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN3_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U46_gg(T1230, quotU_in_g(T1230))
U46_gg(T1230, quotU_out_g(T1230)) → quotN3_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U47_gg(T1235, quotV_in_g(T1235))
U47_gg(T1235, quotV_out_g(T1235)) → quotN3_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN3_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN3_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN3_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U48_gg(T1249, quotY_in_g(T1249))
U48_gg(T1249, quotY_out_g(T1249)) → quotN3_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U49_gg(T1254, quotZ_in_g(T1254))
U49_gg(T1254, quotZ_out_g(T1254)) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN3_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U50_gg(T1254, T1259, quotN4_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN4_in_ggg(0, s(T1268), T1269) → quotN4_out_ggg(0, s(T1268), T1269)
quotN4_in_ggg(T1278, 0, T1284) → U51_ggg(T1278, T1284, quotN3_in_gg(T1278, T1284))
U51_ggg(T1278, T1284, quotN3_out_gg(T1278, T1284)) → quotN4_out_ggg(T1278, 0, T1284)
quotN4_in_ggg(s(T1303), 0, T1309) → U52_ggg(T1303, T1309, quotN3_in_gg(T1303, T1309))
U52_ggg(T1303, T1309, quotN3_out_gg(T1303, T1309)) → quotN4_out_ggg(s(T1303), 0, T1309)
quotN4_in_ggg(s(T1295), s(T1316), T1297) → U53_ggg(T1295, T1316, T1297, quotN4_in_ggg(T1295, T1316, T1297))
U53_ggg(T1295, T1316, T1297, quotN4_out_ggg(T1295, T1316, T1297)) → quotN4_out_ggg(s(T1295), s(T1316), T1297)
U50_gg(T1254, T1259, quotN4_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN3_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U76_ggga(T1101, T1109, quotN3_out_gg(T1101, T1109)) → quotN6_out_ggga(T1101, 0, T1109, 0)
quotN6_in_ggga(T1101, 0, T1109, s(T1322)) → U77_ggga(T1101, T1109, T1322, quotN5_in_gga(T1101, s(T1109), T1322))
U77_ggga(T1101, T1109, T1322, quotN5_out_gga(T1101, s(T1109), T1322)) → quotN6_out_ggga(T1101, 0, T1109, s(T1322))
quotN6_in_ggga(s(T1347), 0, T1355, 0) → U78_ggga(T1347, T1355, quotN3_in_gg(T1347, T1355))
U78_ggga(T1347, T1355, quotN3_out_gg(T1347, T1355)) → quotN6_out_ggga(s(T1347), 0, T1355, 0)
quotN6_in_ggga(s(T1347), 0, T1355, s(T1361)) → U79_ggga(T1347, T1355, T1361, quotN5_in_gga(T1347, s(T1355), T1361))
U79_ggga(T1347, T1355, T1361, quotN5_out_gga(T1347, s(T1355), T1361)) → quotN6_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN6_in_ggga(s(T1333), s(T1366), T1335, T1337) → U80_ggga(T1333, T1366, T1335, T1337, quotN6_in_ggga(T1333, T1366, T1335, T1337))
U80_ggga(T1333, T1366, T1335, T1337, quotN6_out_ggga(T1333, T1366, T1335, T1337)) → quotN6_out_ggga(s(T1333), s(T1366), T1335, T1337)
U75_gga(T1061, T1069, T1064, quotN6_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotN5_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U81_gga(T7, T8, T10, quotN5_out_gga(T7, T8, T10)) → divN7_out_gga(T7, T8, T10)

(115) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(116) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → QUOTN6_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)
QUOTN6_IN_GGGA(T1101, 0, T1109, s(T1322)) → QUOTN5_IN_GGA(T1101, s(T1109), T1322)
QUOTN6_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → QUOTN5_IN_GGA(T1347, s(T1355), T1361)
QUOTN6_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → QUOTN6_IN_GGGA(T1333, T1366, T1335, T1337)

R is empty.
The argument filtering Pi contains the following mapping:
0 = 0
s(x1) = s(x1)
QUOTN5_IN_GGA(x1, x2, x3) = QUOTN5_IN_GGA(x1, x2)
QUOTN6_IN_GGGA(x1, x2, x3, x4) = QUOTN6_IN_GGGA(x1, x2, x3)

We have to consider all (P,R,Pi)-chains

(117) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(118) Obligation:

Q DP problem:
The TRS P consists of the following rules:

QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069))))))))) → QUOTN6_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))))
QUOTN6_IN_GGGA(T1101, 0, T1109) → QUOTN5_IN_GGA(T1101, s(T1109))
QUOTN6_IN_GGGA(s(T1347), 0, T1355) → QUOTN5_IN_GGA(T1347, s(T1355))
QUOTN6_IN_GGGA(s(T1333), s(T1366), T1335) → QUOTN6_IN_GGGA(T1333, T1366, T1335)

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(119) 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:

QUOTN6_IN_GGGA(s(T1333), s(T1366), T1335) → QUOTN6_IN_GGGA(T1333, T1366, T1335)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
QUOTN5_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069))))))))) → QUOTN6_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))))
The graph contains the following edges 1 > 1, 2 > 2, 2 > 3
QUOTN6_IN_GGGA(T1101, 0, T1109) → QUOTN5_IN_GGA(T1101, s(T1109))
The graph contains the following edges 1 >= 1
QUOTN6_IN_GGGA(s(T1347), 0, T1355) → QUOTN5_IN_GGA(T1347, s(T1355))
The graph contains the following edges 1 > 1