Left Termination proof of /tmp/tmpTt9fWI/divremain2.pl

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

0 Prolog

↳1 PrologToPrologProblemTransformerProof (⇒, 276 ms)

↳2 Prolog

↳3 PrologToPiTRSProof (⇒, 5 ms)

↳4 PiTRS

↳5 DependencyPairsProof (⇔, 0 ms)

↳6 PiDP

↳7 DependencyGraphProof (⇔, 0 ms)

↳8 AND

    ↳9 PiDP

        ↳10 UsableRulesProof (⇔, 0 ms)

        ↳11 PiDP

        ↳12 PiDPToQDPProof (⇒, 6 ms)

        ↳13 QDP

        ↳14 QDPSizeChangeProof (⇔, 0 ms)

        ↳15 YES

    ↳16 PiDP

        ↳17 UsableRulesProof (⇔, 0 ms)

        ↳18 PiDP

        ↳19 PiDPToQDPProof (⇒, 0 ms)

        ↳20 QDP

        ↳21 QDPOrderProof (⇔, 93 ms)

        ↳22 QDP

        ↳23 DependencyGraphProof (⇔, 0 ms)

        ↳24 TRUE

(0) Obligation:

Clauses:

div(X1, 0, X2, X3) :- failure(a).
div(0, Y, 0, 0) :- no(zero(Y)).
div(X, Y, s(Z), R) :- ','(no(zero(X)), ','(no(zero(Y)), ','(minus(X, Y, U), ','(!, div(U, Y, Z, R))))).
div(X, Y, X4, X) :- ','(no(zero(X)), no(zero(Y))).
minus(X, 0, X).
minus(s(X), s(Y), Z) :- minus(X, Y, Z).
failure(b).
zero(0).
no(X) :- ','(X, ','(!, failure(a))).
no(X5).

Query: div(g,g,a,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, T4)\n\nT1 is ground\nT2 is ground", fontsize=16, style=filled, fillcolor=lightyellow, color=red];
2 [label="2: div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 0 | div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 1 | div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT1 is ground\nT2 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3 [label="3: failure(a) | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 1 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT8 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4 [label="4: div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 1 | div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT1 is ground\nT2 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(T1, T2, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
5 [label="5: failure(a), SCOPE: 2, CLAUSE: 6 | ?_2 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 1 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT8 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
6 [label="6: ?_2 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 1 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT8 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
7 [label="7: div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 1 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT8 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
8 [label="8: no(zero(0)) | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
9 [label="9: div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT8 is ground\nX14 is free\ndiv(T8, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
10 [label="10: no(zero(0)), SCOPE: 3, CLAUSE: 8 | no(zero(0)), SCOPE: 3, CLAUSE: 9 | ?_3 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
11 [label="11: ','(call(zero(0)), ','(!_3, failure(a))) | no(zero(0)), SCOPE: 3, CLAUSE: 9 | ?_3 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
12 [label="12: ','(zero(0), ','(!_3, failure(a))) | ?_4 | no(zero(0)), SCOPE: 3, CLAUSE: 9 | ?_3 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
13 [label="13: ','(zero(0), ','(!_3, failure(a))), SCOPE: 5, CLAUSE: 7 | ?_5 | ?_4 | no(zero(0)), SCOPE: 3, CLAUSE: 9 | ?_3 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
14 [label="14: ','(!_3, failure(a)) | ?_5 | ?_4 | no(zero(0)), SCOPE: 3, CLAUSE: 9 | ?_3 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
15 [label="15: failure(a) | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
16 [label="16: failure(a), SCOPE: 6, CLAUSE: 6 | ?_6 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
17 [label="17: ?_6 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
18 [label="18: div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
19 [label="19: div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
20 [label="20: div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
21 [label="21: ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22)))))\n\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
22 [label="22: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
23 [label="23: ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22))))), SCOPE: 7, CLAUSE: 8 | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22))))), SCOPE: 7, CLAUSE: 9\n\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
24 [label="24: ','(','(call(zero(0)), ','(!_7, failure(a))), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22))))) | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22))))), SCOPE: 7, CLAUSE: 9\n\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
25 [label="25: ','(zero(0), ','(','(!_7, failure(a)), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22)))))) | ?_8 | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22))))), SCOPE: 7, CLAUSE: 9\n\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
26 [label="26: ','(zero(0), ','(','(!_7, failure(a)), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22)))))), SCOPE: 9, CLAUSE: 7 | ?_9 | ?_8 | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22))))), SCOPE: 7, CLAUSE: 9\n\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
27 [label="27: ','(','(!_7, failure(a)), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22))))) | ?_9 | ?_8 | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22))))), SCOPE: 7, CLAUSE: 9\n\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
28 [label="28: ','(failure(a), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22)))))\n\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
29 [label="29: ','(failure(a), ','(no(zero(0)), ','(minus(0, 0, X40), ','(!_1, div(X40, 0, T21, T22))))), SCOPE: 10, CLAUSE: 6\n\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
30 [label="30: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
31 [label="31: ','(no(zero(0)), no(zero(0)))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
32 [label="32: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
33 [label="33: ','(no(zero(0)), no(zero(0))), SCOPE: 11, CLAUSE: 8 | ','(no(zero(0)), no(zero(0))), SCOPE: 11, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
34 [label="34: ','(','(call(zero(0)), ','(!_11, failure(a))), no(zero(0))) | ','(no(zero(0)), no(zero(0))), SCOPE: 11, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
35 [label="35: ','(zero(0), ','(','(!_11, failure(a)), no(zero(0)))) | ?_12 | ','(no(zero(0)), no(zero(0))), SCOPE: 11, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
36 [label="36: ','(zero(0), ','(','(!_11, failure(a)), no(zero(0)))), SCOPE: 13, CLAUSE: 7 | ?_13 | ?_12 | ','(no(zero(0)), no(zero(0))), SCOPE: 11, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
37 [label="37: ','(','(!_11, failure(a)), no(zero(0))) | ?_13 | ?_12 | ','(no(zero(0)), no(zero(0))), SCOPE: 11, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
38 [label="38: ','(failure(a), no(zero(0)))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
39 [label="39: ','(failure(a), no(zero(0))), SCOPE: 14, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
40 [label="40: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
41 [label="41: div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 2\n\nT8 is ground\nX14 is free\ndiv(T8, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
42 [label="42: div(T8, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT8 is ground\nX14 is free\ndiv(T8, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
43 [label="43: ','(no(zero(T38)), ','(no(zero(0)), ','(minus(T38, 0, X80), ','(!_1, div(X80, 0, T41, T42)))))\n\nT38 is ground\nX14 is free\nX80 is free\ndiv(T38, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
44 [label="44: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
45 [label="45: ','(no(zero(T38)), ','(no(zero(0)), ','(minus(T38, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 15, CLAUSE: 8 | ','(no(zero(T38)), ','(no(zero(0)), ','(minus(T38, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 15, CLAUSE: 9\n\nT38 is ground\nX14 is free\nX80 is free\ndiv(T38, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
46 [label="46: ','(','(call(zero(T46)), ','(!_15, failure(a))), ','(no(zero(0)), ','(minus(T46, 0, X80), ','(!_1, div(X80, 0, T41, T42))))) | ','(no(zero(T46)), ','(no(zero(0)), ','(minus(T46, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 15, CLAUSE: 9\n\nT46 is ground\nX14 is free\nX80 is free\ndiv(T46, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
47 [label="47: ','(zero(T46), ','(','(!_15, failure(a)), ','(no(zero(0)), ','(minus(T46, 0, X80), ','(!_1, div(X80, 0, T41, T42)))))) | ?_16 | ','(no(zero(T46)), ','(no(zero(0)), ','(minus(T46, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 15, CLAUSE: 9\n\nT46 is ground\nX14 is free\nX80 is free\ndiv(T46, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
48 [label="48: ','(zero(T46), ','(','(!_15, failure(a)), ','(no(zero(0)), ','(minus(T46, 0, X80), ','(!_1, div(X80, 0, T41, T42)))))), SCOPE: 17, CLAUSE: 7 | ?_17 | ?_16 | ','(no(zero(T46)), ','(no(zero(0)), ','(minus(T46, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 15, CLAUSE: 9\n\nT46 is ground\nX14 is free\nX80 is free\ndiv(T46, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
49 [label="49: ','(','(!_15, failure(a)), ','(no(zero(0)), ','(minus(0, 0, X80), ','(!_1, div(X80, 0, T41, T42))))) | ?_17 | ?_16 | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 15, CLAUSE: 9\n\nX80 is free", fontsize=16, style=filled, fillcolor=lightyellow];
50 [label="50: ?_17 | ?_16 | ','(no(zero(T46)), ','(no(zero(0)), ','(minus(T46, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 15, CLAUSE: 9\n\nT46 is ground\nX14 is free\nX80 is free\ndiv(T46, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T46) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
51 [label="51: ','(failure(a), ','(no(zero(0)), ','(minus(0, 0, X80), ','(!_1, div(X80, 0, T41, T42)))))\n\nX80 is free", fontsize=16, style=filled, fillcolor=lightyellow];
52 [label="52: ','(failure(a), ','(no(zero(0)), ','(minus(0, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 18, CLAUSE: 6\n\nX80 is free", fontsize=16, style=filled, fillcolor=lightyellow];
53 [label="53: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
54 [label="54: ?_16 | ','(no(zero(T46)), ','(no(zero(0)), ','(minus(T46, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 15, CLAUSE: 9\n\nT46 is ground\nX14 is free\nX80 is free\ndiv(T46, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T46) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
55 [label="55: ','(no(zero(T46)), ','(no(zero(0)), ','(minus(T46, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 15, CLAUSE: 9\n\nT46 is ground\nX14 is free\nX80 is free\ndiv(T46, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T46) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
56 [label="56: ','(no(zero(0)), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42))))\n\nT50 is ground\nX14 is free\nX80 is free\ndiv(T50, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T50) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
57 [label="57: ','(no(zero(0)), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42)))), SCOPE: 19, CLAUSE: 8 | ','(no(zero(0)), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42)))), SCOPE: 19, CLAUSE: 9\n\nT50 is ground\nX14 is free\nX80 is free\ndiv(T50, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T50) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
58 [label="58: ','(','(call(zero(0)), ','(!_19, failure(a))), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42)))) | ','(no(zero(0)), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42)))), SCOPE: 19, CLAUSE: 9\n\nT50 is ground\nX14 is free\nX80 is free\ndiv(T50, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T50) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
59 [label="59: ','(zero(0), ','(','(!_19, failure(a)), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42))))) | ?_20 | ','(no(zero(0)), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42)))), SCOPE: 19, CLAUSE: 9\n\nT50 is ground\nX14 is free\nX80 is free\ndiv(T50, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T50) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
60 [label="60: ','(zero(0), ','(','(!_19, failure(a)), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42))))), SCOPE: 21, CLAUSE: 7 | ?_21 | ?_20 | ','(no(zero(0)), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42)))), SCOPE: 19, CLAUSE: 9\n\nT50 is ground\nX14 is free\nX80 is free\ndiv(T50, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T50) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
61 [label="61: ','(','(!_19, failure(a)), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42)))) | ?_21 | ?_20 | ','(no(zero(0)), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42)))), SCOPE: 19, CLAUSE: 9\n\nT50 is ground\nX14 is free\nX80 is free\ndiv(T50, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T50) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
62 [label="62: ','(failure(a), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42))))\n\nT50 is ground\nX14 is free\nX80 is free\ndiv(T50, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T50) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
63 [label="63: ','(failure(a), ','(minus(T50, 0, X80), ','(!_1, div(X80, 0, T41, T42)))), SCOPE: 22, CLAUSE: 6\n\nT50 is ground\nX14 is free\nX80 is free\ndiv(T50, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T50) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
64 [label="64: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
65 [label="65: ','(no(zero(T57)), no(zero(0)))\n\nT57 is ground\nX14 is free\ndiv(T57, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
66 [label="66: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
67 [label="67: ','(no(zero(T57)), no(zero(0))), SCOPE: 23, CLAUSE: 8 | ','(no(zero(T57)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT57 is ground\nX14 is free\ndiv(T57, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
68 [label="68: ','(','(call(zero(T61)), ','(!_23, failure(a))), no(zero(0))) | ','(no(zero(T61)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT61 is ground\nX14 is free\ndiv(T61, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
69 [label="69: ','(zero(T61), ','(','(!_23, failure(a)), no(zero(0)))) | ?_24 | ','(no(zero(T61)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT61 is ground\nX14 is free\ndiv(T61, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
70 [label="70: ','(zero(T61), ','(','(!_23, failure(a)), no(zero(0)))), SCOPE: 25, CLAUSE: 7 | ?_25 | ?_24 | ','(no(zero(T61)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT61 is ground\nX14 is free\ndiv(T61, 0, T3, T4) !=? div(0, X14, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
71 [label="71: ','(','(!_23, failure(a)), no(zero(0))) | ?_25 | ?_24 | ','(no(zero(0)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
72 [label="72: ?_25 | ?_24 | ','(no(zero(T61)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT61 is ground\nX14 is free\ndiv(T61, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T61) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
73 [label="73: ','(failure(a), no(zero(0)))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
74 [label="74: ','(failure(a), no(zero(0))), SCOPE: 26, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
75 [label="75: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
76 [label="76: ?_24 | ','(no(zero(T61)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT61 is ground\nX14 is free\ndiv(T61, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T61) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
77 [label="77: ','(no(zero(T61)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT61 is ground\nX14 is free\ndiv(T61, 0, T3, T4) !=? div(0, X14, 0, 0)\nzero(T61) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
78 [label="78: no(zero(0))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
79 [label="79: no(zero(0)), SCOPE: 27, CLAUSE: 8 | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
80 [label="80: ','(call(zero(0)), ','(!_27, failure(a))) | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
81 [label="81: ','(zero(0), ','(!_27, failure(a))) | ?_28 | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
82 [label="82: ','(zero(0), ','(!_27, failure(a))), SCOPE: 29, CLAUSE: 7 | ?_29 | ?_28 | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
83 [label="83: ','(!_27, failure(a)) | ?_29 | ?_28 | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
84 [label="84: failure(a)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
85 [label="85: failure(a), SCOPE: 30, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
86 [label="86: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
87 [label="87: no(zero(T66)) | div(0, T66, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T66, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT66 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T66, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
88 [label="88: div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT1 is ground\nT2 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T1, T2, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T1, T2, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
89 [label="89: no(zero(T66)), SCOPE: 31, CLAUSE: 8 | no(zero(T66)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T66, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T66, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT66 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T66, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
90 [label="90: ','(call(zero(T69)), ','(!_31, failure(a))) | no(zero(T69)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT69 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T69, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
91 [label="91: ','(zero(T69), ','(!_31, failure(a))) | ?_32 | no(zero(T69)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT69 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T69, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
92 [label="92: ','(zero(T69), ','(!_31, failure(a))), SCOPE: 33, CLAUSE: 7 | ?_33 | ?_32 | no(zero(T69)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT69 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T69, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
93 [label="93: ?_33 | ?_32 | no(zero(T69)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT69 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T69, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
94 [label="94: ?_32 | no(zero(T69)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT69 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T69, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
95 [label="95: no(zero(T69)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T69, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT69 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T69, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
96 [label="96: true | ?_31 | div(0, T72, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T72, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT72 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T72, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
97 [label="97: ?_31 | div(0, T72, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T72, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT72 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T72, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
98 [label="98: div(0, T72, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T72, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT72 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T72, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
99 [label="99: div(0, T72, T3, T4), SCOPE: 1, CLAUSE: 2\n\nT72 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T72, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
100 [label="100: div(0, T72, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT72 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T72, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
101 [label="101: ','(no(zero(0)), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89)))))\n\nT85 is ground\nX9 is free\nX10 is free\nX11 is free\nX143 is free\ndiv(0, T85, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
102 [label="102: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
103 [label="103: ','(no(zero(0)), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89))))), SCOPE: 34, CLAUSE: 8 | ','(no(zero(0)), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89))))), SCOPE: 34, CLAUSE: 9\n\nT85 is ground\nX9 is free\nX10 is free\nX11 is free\nX143 is free\ndiv(0, T85, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
104 [label="104: ','(','(call(zero(0)), ','(!_34, failure(a))), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89))))) | ','(no(zero(0)), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89))))), SCOPE: 34, CLAUSE: 9\n\nT85 is ground\nX9 is free\nX10 is free\nX11 is free\nX143 is free\ndiv(0, T85, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
105 [label="105: ','(zero(0), ','(','(!_34, failure(a)), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89)))))) | ?_35 | ','(no(zero(0)), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89))))), SCOPE: 34, CLAUSE: 9\n\nT85 is ground\nX9 is free\nX10 is free\nX11 is free\nX143 is free\ndiv(0, T85, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
106 [label="106: ','(zero(0), ','(','(!_34, failure(a)), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89)))))), SCOPE: 36, CLAUSE: 7 | ?_36 | ?_35 | ','(no(zero(0)), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89))))), SCOPE: 34, CLAUSE: 9\n\nT85 is ground\nX9 is free\nX10 is free\nX11 is free\nX143 is free\ndiv(0, T85, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
107 [label="107: ','(','(!_34, failure(a)), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89))))) | ?_36 | ?_35 | ','(no(zero(0)), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89))))), SCOPE: 34, CLAUSE: 9\n\nT85 is ground\nX9 is free\nX10 is free\nX11 is free\nX143 is free\ndiv(0, T85, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
108 [label="108: ','(failure(a), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89)))))\n\nT85 is ground\nX9 is free\nX10 is free\nX11 is free\nX143 is free\ndiv(0, T85, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
109 [label="109: ','(failure(a), ','(no(zero(T85)), ','(minus(0, T85, X143), ','(!_1, div(X143, T85, T88, T89))))), SCOPE: 37, CLAUSE: 6\n\nT85 is ground\nX9 is free\nX10 is free\nX11 is free\nX143 is free\ndiv(0, T85, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
110 [label="110: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
111 [label="111: ','(no(zero(0)), no(zero(T94)))\n\nT94 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T94, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
112 [label="112: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
113 [label="113: ','(no(zero(0)), no(zero(T94))), SCOPE: 38, CLAUSE: 8 | ','(no(zero(0)), no(zero(T94))), SCOPE: 38, CLAUSE: 9\n\nT94 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T94, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
114 [label="114: ','(','(call(zero(0)), ','(!_38, failure(a))), no(zero(T94))) | ','(no(zero(0)), no(zero(T94))), SCOPE: 38, CLAUSE: 9\n\nT94 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T94, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
115 [label="115: ','(zero(0), ','(','(!_38, failure(a)), no(zero(T94)))) | ?_39 | ','(no(zero(0)), no(zero(T94))), SCOPE: 38, CLAUSE: 9\n\nT94 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T94, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
116 [label="116: ','(zero(0), ','(','(!_38, failure(a)), no(zero(T94)))), SCOPE: 40, CLAUSE: 7 | ?_40 | ?_39 | ','(no(zero(0)), no(zero(T94))), SCOPE: 38, CLAUSE: 9\n\nT94 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T94, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
117 [label="117: ','(','(!_38, failure(a)), no(zero(T94))) | ?_40 | ?_39 | ','(no(zero(0)), no(zero(T94))), SCOPE: 38, CLAUSE: 9\n\nT94 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T94, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
118 [label="118: ','(failure(a), no(zero(T94)))\n\nT94 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T94, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
119 [label="119: ','(failure(a), no(zero(T94))), SCOPE: 41, CLAUSE: 6\n\nT94 is ground\nX9 is free\nX10 is free\nX11 is free\ndiv(0, T94, T3, T4) !=? div(X9, 0, X10, X11)", fontsize=16, style=filled, fillcolor=lightyellow];
120 [label="120: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
121 [label="121: ','(no(zero(T100)), ','(no(zero(T101)), ','(minus(T100, T101, X177), ','(!_1, div(X177, T101, T104, T105))))) | div(T100, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT100 is ground\nT101 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T100, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T100, T101, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
122 [label="122: div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT1 is ground\nT2 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T1, T2, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T1, T2, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T1, T2, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
123 [label="123: ','(no(zero(T100)), ','(no(zero(T101)), ','(minus(T100, T101, X177), ','(!_1, div(X177, T101, T104, T105))))), SCOPE: 42, CLAUSE: 8 | ','(no(zero(T100)), ','(no(zero(T101)), ','(minus(T100, T101, X177), ','(!_1, div(X177, T101, T104, T105))))), SCOPE: 42, CLAUSE: 9 | ?_42 | div(T100, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT100 is ground\nT101 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T100, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T100, T101, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
124 [label="124: ','(','(call(zero(T108)), ','(!_42, failure(a))), ','(no(zero(T101)), ','(minus(T108, T101, X177), ','(!_1, div(X177, T101, T104, T105))))) | ','(no(zero(T108)), ','(no(zero(T101)), ','(minus(T108, T101, X177), ','(!_1, div(X177, T101, T104, T105))))), SCOPE: 42, CLAUSE: 9 | ?_42 | div(T108, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nT108 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T108, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T108, T101, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
125 [label="125: ','(zero(T108), ','(','(!_42, failure(a)), ','(no(zero(T101)), ','(minus(T108, T101, X177), ','(!_1, div(X177, T101, T104, T105)))))) | ?_43 | ','(no(zero(T108)), ','(no(zero(T101)), ','(minus(T108, T101, X177), ','(!_1, div(X177, T101, T104, T105))))), SCOPE: 42, CLAUSE: 9 | ?_42 | div(T108, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nT108 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T108, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T108, T101, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
126 [label="126: ','(zero(T108), ','(','(!_42, failure(a)), ','(no(zero(T101)), ','(minus(T108, T101, X177), ','(!_1, div(X177, T101, T104, T105)))))), SCOPE: 44, CLAUSE: 7 | ?_44 | ?_43 | ','(no(zero(T108)), ','(no(zero(T101)), ','(minus(T108, T101, X177), ','(!_1, div(X177, T101, T104, T105))))), SCOPE: 42, CLAUSE: 9 | ?_42 | div(T108, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nT108 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T108, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T108, T101, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
127 [label="127: ','(','(!_42, failure(a)), ','(no(zero(T101)), ','(minus(0, T101, X177), ','(!_1, div(X177, T101, T104, T105))))) | ?_44 | ?_43 | ','(no(zero(0)), ','(no(zero(T101)), ','(minus(0, T101, X177), ','(!_1, div(X177, T101, T104, T105))))), SCOPE: 42, CLAUSE: 9 | ?_42 | div(0, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(0, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T101, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
128 [label="128: ?_44 | ?_43 | ','(no(zero(T108)), ','(no(zero(T101)), ','(minus(T108, T101, X177), ','(!_1, div(X177, T101, T104, T105))))), SCOPE: 42, CLAUSE: 9 | ?_42 | div(T108, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nT108 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T108, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T108, T101, T3, T4) !=? div(0, X114, 0, 0)\nzero(T108) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
129 [label="129: ','(failure(a), ','(no(zero(T101)), ','(minus(0, T101, X177), ','(!_1, div(X177, T101, T104, T105))))) | div(0, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(0, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T101, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
130 [label="130: ','(failure(a), ','(no(zero(T101)), ','(minus(0, T101, X177), ','(!_1, div(X177, T101, T104, T105))))), SCOPE: 45, CLAUSE: 6 | ?_45 | div(0, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(0, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T101, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
131 [label="131: ?_45 | div(0, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(0, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T101, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
132 [label="132: div(0, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(0, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T101, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
133 [label="133: ','(no(zero(0)), no(zero(T113)))\n\nT113 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(0, T113, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T113, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
134 [label="134: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
135 [label="135: ','(no(zero(0)), no(zero(T113))), SCOPE: 46, CLAUSE: 8 | ','(no(zero(0)), no(zero(T113))), SCOPE: 46, CLAUSE: 9\n\nT113 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(0, T113, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T113, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
136 [label="136: ','(','(call(zero(0)), ','(!_46, failure(a))), no(zero(T113))) | ','(no(zero(0)), no(zero(T113))), SCOPE: 46, CLAUSE: 9\n\nT113 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(0, T113, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T113, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
137 [label="137: ','(zero(0), ','(','(!_46, failure(a)), no(zero(T113)))) | ?_47 | ','(no(zero(0)), no(zero(T113))), SCOPE: 46, CLAUSE: 9\n\nT113 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(0, T113, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T113, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
138 [label="138: ','(zero(0), ','(','(!_46, failure(a)), no(zero(T113)))), SCOPE: 48, CLAUSE: 7 | ?_48 | ?_47 | ','(no(zero(0)), no(zero(T113))), SCOPE: 46, CLAUSE: 9\n\nT113 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(0, T113, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T113, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
139 [label="139: ','(','(!_46, failure(a)), no(zero(T113))) | ?_48 | ?_47 | ','(no(zero(0)), no(zero(T113))), SCOPE: 46, CLAUSE: 9\n\nT113 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(0, T113, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T113, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
140 [label="140: ','(failure(a), no(zero(T113)))\n\nT113 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(0, T113, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T113, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
141 [label="141: ','(failure(a), no(zero(T113))), SCOPE: 49, CLAUSE: 6\n\nT113 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(0, T113, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T113, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
142 [label="142: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
143 [label="143: ?_43 | ','(no(zero(T108)), ','(no(zero(T101)), ','(minus(T108, T101, X177), ','(!_1, div(X177, T101, T104, T105))))), SCOPE: 42, CLAUSE: 9 | ?_42 | div(T108, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nT108 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T108, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T108, T101, T3, T4) !=? div(0, X114, 0, 0)\nzero(T108) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
144 [label="144: ','(no(zero(T108)), ','(no(zero(T101)), ','(minus(T108, T101, X177), ','(!_1, div(X177, T101, T104, T105))))), SCOPE: 42, CLAUSE: 9 | ?_42 | div(T108, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nT108 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T108, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T108, T101, T3, T4) !=? div(0, X114, 0, 0)\nzero(T108) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
145 [label="145: ','(no(zero(T101)), ','(minus(T121, T101, X177), ','(!_1, div(X177, T101, T104, T105)))) | ?_42 | div(T121, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nT121 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T101, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
146 [label="146: ','(no(zero(T101)), ','(minus(T121, T101, X177), ','(!_1, div(X177, T101, T104, T105)))), SCOPE: 50, CLAUSE: 8 | ','(no(zero(T101)), ','(minus(T121, T101, X177), ','(!_1, div(X177, T101, T104, T105)))), SCOPE: 50, CLAUSE: 9 | ?_50 | ?_42 | div(T121, T101, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT101 is ground\nT121 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T101, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T101, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
147 [label="147: ','(','(call(zero(T128)), ','(!_50, failure(a))), ','(minus(T121, T128, X177), ','(!_1, div(X177, T128, T104, T105)))) | ','(no(zero(T128)), ','(minus(T121, T128, X177), ','(!_1, div(X177, T128, T104, T105)))), SCOPE: 50, CLAUSE: 9 | ?_50 | ?_42 | div(T121, T128, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT121 is ground\nT128 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T128, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T128, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
148 [label="148: ','(zero(T128), ','(','(!_50, failure(a)), ','(minus(T121, T128, X177), ','(!_1, div(X177, T128, T104, T105))))) | ?_51 | ','(no(zero(T128)), ','(minus(T121, T128, X177), ','(!_1, div(X177, T128, T104, T105)))), SCOPE: 50, CLAUSE: 9 | ?_50 | ?_42 | div(T121, T128, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT121 is ground\nT128 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T128, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T128, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
149 [label="149: ','(zero(T128), ','(','(!_50, failure(a)), ','(minus(T121, T128, X177), ','(!_1, div(X177, T128, T104, T105))))), SCOPE: 52, CLAUSE: 7 | ?_52 | ?_51 | ','(no(zero(T128)), ','(minus(T121, T128, X177), ','(!_1, div(X177, T128, T104, T105)))), SCOPE: 50, CLAUSE: 9 | ?_50 | ?_42 | div(T121, T128, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT121 is ground\nT128 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T128, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T128, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
150 [label="150: ?_52 | ?_51 | ','(no(zero(T128)), ','(minus(T121, T128, X177), ','(!_1, div(X177, T128, T104, T105)))), SCOPE: 50, CLAUSE: 9 | ?_50 | ?_42 | div(T121, T128, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT121 is ground\nT128 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T128, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T128, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
151 [label="151: ?_51 | ','(no(zero(T128)), ','(minus(T121, T128, X177), ','(!_1, div(X177, T128, T104, T105)))), SCOPE: 50, CLAUSE: 9 | ?_50 | ?_42 | div(T121, T128, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT121 is ground\nT128 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T128, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T128, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
152 [label="152: ','(no(zero(T128)), ','(minus(T121, T128, X177), ','(!_1, div(X177, T128, T104, T105)))), SCOPE: 50, CLAUSE: 9 | ?_50 | ?_42 | div(T121, T128, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT121 is ground\nT128 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T128, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T128, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
153 [label="153: ','(minus(T121, T135, X177), ','(!_1, div(X177, T135, T104, T105))) | ?_50 | ?_42 | div(T121, T135, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT121 is ground\nT135 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T135, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T135, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
154 [label="154: ','(minus(T121, T135, X177), ','(!_1, div(X177, T135, T104, T105)))\n\nT121 is ground\nT135 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T135, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T135, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
155 [label="155: ?_50 | ?_42 | div(T121, T135, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT121 is ground\nT135 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T121, T135, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T135, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
156 [label="156: minus(T121, T135, X177)\n\nT121 is ground\nT135 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T135, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T135, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
157 [label="157: ','(!_1, div(T144, T135, T104, T105))\n\nT121 is ground\nT135 is ground\nT144 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T121, T135, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T135, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
158 [label="158: minus(T121, T135, X177), SCOPE: 53, CLAUSE: 4 | minus(T121, T135, X177), SCOPE: 53, CLAUSE: 5\n\nT121 is ground\nT135 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T135, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T135, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
159 [label="159: minus(T121, T135, X177), SCOPE: 53, CLAUSE: 5\n\nT121 is ground\nT135 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX177 is free\ndiv(T121, T135, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T135, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
160 [label="160: minus(T154, T155, X255)\n\nT154 is ground\nT155 is ground\nX255 is free", fontsize=16, style=filled, fillcolor=lightyellow];
161 [label="161: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
162 [label="162: minus(T154, T155, X255), SCOPE: 54, CLAUSE: 4 | minus(T154, T155, X255), SCOPE: 54, CLAUSE: 5\n\nT154 is ground\nT155 is ground\nX255 is free", fontsize=16, style=filled, fillcolor=lightyellow];
163 [label="163: minus(T154, T155, X255), SCOPE: 54, CLAUSE: 4\n\nT154 is ground\nT155 is ground\nX255 is free", fontsize=16, style=filled, fillcolor=lightyellow];
164 [label="164: minus(T154, T155, X255), SCOPE: 54, CLAUSE: 5\n\nT154 is ground\nT155 is ground\nX255 is free", fontsize=16, style=filled, fillcolor=lightyellow];
165 [label="165: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
166 [label="166: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
167 [label="167: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
168 [label="168: minus(T167, T168, X274)\n\nT167 is ground\nT168 is ground\nX274 is free", fontsize=16, style=filled, fillcolor=lightyellow];
169 [label="169: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
170 [label="170: div(T144, T135, T104, T105)\n\nT121 is ground\nT135 is ground\nT144 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T121, T135, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T135, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
171 [label="171: ?_42 | div(T121, T135, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT121 is ground\nT135 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T121, T135, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T135, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
172 [label="172: div(T121, T135, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT121 is ground\nT135 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T121, T135, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T121, T135, T3, T4) !=? div(0, X114, 0, 0)\nzero(T121) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
173 [label="173: ','(no(zero(T181)), no(zero(T182)))\n\nT181 is ground\nT182 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T181, T182, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T181, T182, T3, T4) !=? div(0, X114, 0, 0)\nzero(T181) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
174 [label="174: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
175 [label="175: ','(no(zero(T181)), no(zero(T182))), SCOPE: 55, CLAUSE: 8 | ','(no(zero(T181)), no(zero(T182))), SCOPE: 55, CLAUSE: 9\n\nT181 is ground\nT182 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T181, T182, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T181, T182, T3, T4) !=? div(0, X114, 0, 0)\nzero(T181) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
176 [label="176: ','(','(call(zero(T186)), ','(!_55, failure(a))), no(zero(T182))) | ','(no(zero(T186)), no(zero(T182))), SCOPE: 55, CLAUSE: 9\n\nT182 is ground\nT186 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T186, T182, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T186, T182, T3, T4) !=? div(0, X114, 0, 0)\nzero(T186) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
177 [label="177: ','(zero(T186), ','(','(!_55, failure(a)), no(zero(T182)))) | ?_56 | ','(no(zero(T186)), no(zero(T182))), SCOPE: 55, CLAUSE: 9\n\nT182 is ground\nT186 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T186, T182, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T186, T182, T3, T4) !=? div(0, X114, 0, 0)\nzero(T186) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
178 [label="178: ','(zero(T186), ','(','(!_55, failure(a)), no(zero(T182)))), SCOPE: 57, CLAUSE: 7 | ?_57 | ?_56 | ','(no(zero(T186)), no(zero(T182))), SCOPE: 55, CLAUSE: 9\n\nT182 is ground\nT186 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T186, T182, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T186, T182, T3, T4) !=? div(0, X114, 0, 0)\nzero(T186) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
179 [label="179: ?_57 | ?_56 | ','(no(zero(T186)), no(zero(T182))), SCOPE: 55, CLAUSE: 9\n\nT182 is ground\nT186 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T186, T182, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T186, T182, T3, T4) !=? div(0, X114, 0, 0)\nzero(T186) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
180 [label="180: ?_56 | ','(no(zero(T186)), no(zero(T182))), SCOPE: 55, CLAUSE: 9\n\nT182 is ground\nT186 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T186, T182, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T186, T182, T3, T4) !=? div(0, X114, 0, 0)\nzero(T186) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
181 [label="181: ','(no(zero(T186)), no(zero(T182))), SCOPE: 55, CLAUSE: 9\n\nT182 is ground\nT186 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T186, T182, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T186, T182, T3, T4) !=? div(0, X114, 0, 0)\nzero(T186) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
182 [label="182: no(zero(T182))\n\nT182 is ground\nT189 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T189, T182, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T189, T182, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
183 [label="183: no(zero(T182)), SCOPE: 58, CLAUSE: 8 | no(zero(T182)), SCOPE: 58, CLAUSE: 9\n\nT182 is ground\nT189 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T189, T182, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T189, T182, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
184 [label="184: ','(call(zero(T192)), ','(!_58, failure(a))) | no(zero(T192)), SCOPE: 58, CLAUSE: 9\n\nT189 is ground\nT192 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T189, T192, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T189, T192, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
185 [label="185: ','(zero(T192), ','(!_58, failure(a))) | ?_59 | no(zero(T192)), SCOPE: 58, CLAUSE: 9\n\nT189 is ground\nT192 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T189, T192, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T189, T192, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
186 [label="186: ','(zero(T192), ','(!_58, failure(a))), SCOPE: 60, CLAUSE: 7 | ?_60 | ?_59 | no(zero(T192)), SCOPE: 58, CLAUSE: 9\n\nT189 is ground\nT192 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T189, T192, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T189, T192, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
187 [label="187: ?_60 | ?_59 | no(zero(T192)), SCOPE: 58, CLAUSE: 9\n\nT189 is ground\nT192 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T189, T192, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T189, T192, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
188 [label="188: ?_59 | no(zero(T192)), SCOPE: 58, CLAUSE: 9\n\nT189 is ground\nT192 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T189, T192, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T189, T192, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
189 [label="189: no(zero(T192)), SCOPE: 58, CLAUSE: 9\n\nT189 is ground\nT192 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T189, T192, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T189, T192, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
190 [label="190: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
191 [label="191: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
192 [label="192: ','(no(zero(T199)), no(zero(T200)))\n\nT199 is ground\nT200 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T199, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T199, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T199, T200, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
193 [label="193: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
194 [label="194: ','(no(zero(T199)), no(zero(T200))), SCOPE: 61, CLAUSE: 8 | ','(no(zero(T199)), no(zero(T200))), SCOPE: 61, CLAUSE: 9\n\nT199 is ground\nT200 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T199, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T199, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T199, T200, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
195 [label="195: ','(','(call(zero(T204)), ','(!_61, failure(a))), no(zero(T200))) | ','(no(zero(T204)), no(zero(T200))), SCOPE: 61, CLAUSE: 9\n\nT200 is ground\nT204 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T204, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T204, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T204, T200, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
196 [label="196: ','(zero(T204), ','(','(!_61, failure(a)), no(zero(T200)))) | ?_62 | ','(no(zero(T204)), no(zero(T200))), SCOPE: 61, CLAUSE: 9\n\nT200 is ground\nT204 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T204, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T204, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T204, T200, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
197 [label="197: ','(zero(T204), ','(','(!_61, failure(a)), no(zero(T200)))), SCOPE: 63, CLAUSE: 7 | ?_63 | ?_62 | ','(no(zero(T204)), no(zero(T200))), SCOPE: 61, CLAUSE: 9\n\nT200 is ground\nT204 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T204, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T204, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T204, T200, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
198 [label="198: ','(','(!_61, failure(a)), no(zero(T200))) | ?_63 | ?_62 | ','(no(zero(0)), no(zero(T200))), SCOPE: 61, CLAUSE: 9\n\nT200 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(0, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(0, T200, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
199 [label="199: ?_63 | ?_62 | ','(no(zero(T204)), no(zero(T200))), SCOPE: 61, CLAUSE: 9\n\nT200 is ground\nT204 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T204, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T204, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T204, T200, T3, T4) !=? div(X173, X174, s(X175), X176)\nzero(T204) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
200 [label="200: ','(failure(a), no(zero(T200)))\n\nT200 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(0, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(0, T200, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
201 [label="201: ','(failure(a), no(zero(T200))), SCOPE: 64, CLAUSE: 6\n\nT200 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(0, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(0, T200, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
202 [label="202: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
203 [label="203: ?_62 | ','(no(zero(T204)), no(zero(T200))), SCOPE: 61, CLAUSE: 9\n\nT200 is ground\nT204 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T204, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T204, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T204, T200, T3, T4) !=? div(X173, X174, s(X175), X176)\nzero(T204) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
204 [label="204: ','(no(zero(T204)), no(zero(T200))), SCOPE: 61, CLAUSE: 9\n\nT200 is ground\nT204 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T204, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T204, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T204, T200, T3, T4) !=? div(X173, X174, s(X175), X176)\nzero(T204) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
205 [label="205: no(zero(T200))\n\nT200 is ground\nT207 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T207, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T207, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T207, T200, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
206 [label="206: no(zero(T200)), SCOPE: 65, CLAUSE: 8 | no(zero(T200)), SCOPE: 65, CLAUSE: 9\n\nT200 is ground\nT207 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T207, T200, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T207, T200, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T207, T200, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
207 [label="207: ','(call(zero(T210)), ','(!_65, failure(a))) | no(zero(T210)), SCOPE: 65, CLAUSE: 9\n\nT207 is ground\nT210 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T207, T210, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T207, T210, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T207, T210, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
208 [label="208: ','(zero(T210), ','(!_65, failure(a))) | ?_66 | no(zero(T210)), SCOPE: 65, CLAUSE: 9\n\nT207 is ground\nT210 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T207, T210, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T207, T210, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T207, T210, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
209 [label="209: ','(zero(T210), ','(!_65, failure(a))), SCOPE: 67, CLAUSE: 7 | ?_67 | ?_66 | no(zero(T210)), SCOPE: 65, CLAUSE: 9\n\nT207 is ground\nT210 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T207, T210, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T207, T210, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T207, T210, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
210 [label="210: ?_67 | ?_66 | no(zero(T210)), SCOPE: 65, CLAUSE: 9\n\nT207 is ground\nT210 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T207, T210, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T207, T210, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T207, T210, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
211 [label="211: ?_66 | no(zero(T210)), SCOPE: 65, CLAUSE: 9\n\nT207 is ground\nT210 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T207, T210, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T207, T210, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T207, T210, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
212 [label="212: no(zero(T210)), SCOPE: 65, CLAUSE: 9\n\nT207 is ground\nT210 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\nX173 is free\nX174 is free\nX175 is free\nX176 is free\ndiv(T207, T210, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T207, T210, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T207, T210, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
213 [label="213: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
214 [label="214: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
215 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1 -> 215 [arrowhead = none ];
215 -> 2;

216 [label="EVAL with clause\ndiv(X9, 0, X10, X11) :- failure(a).\nand substitutionT1 -> T8,\nX9 -> T8,\nT2 -> 0,\nT3 -> T9,\nX10 -> T9,\nT4 -> T10,\nX11 -> T10", fontsize=14, style = filled, fillcolor = lightblue];
2 -> 216 [arrowhead = none ];
216 -> 3;

217 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2 -> 217 [arrowhead = none ];
217 -> 4;

218 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3 -> 218 [arrowhead = none ];
218 -> 5;

219 [label="EVAL with clause\ndiv(0, X114, 0, 0) :- no(zero(X114)).\nand substitutionT1 -> 0,\nT2 -> T66,\nX114 -> T66,\nT3 -> 0,\nT4 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4 -> 219 [arrowhead = none ];
219 -> 87;

220 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4 -> 220 [arrowhead = none ];
220 -> 88;

221 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
5 -> 221 [arrowhead = none ];
221 -> 6;

222 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
6 -> 222 [arrowhead = none ];
222 -> 7;

223 [label="EVAL with clause\ndiv(0, X14, 0, 0) :- no(zero(X14)).\nand substitutionT8 -> 0,\nX14 -> 0,\nT3 -> 0,\nT4 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
7 -> 223 [arrowhead = none ];
223 -> 8;

224 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
7 -> 224 [arrowhead = none ];
224 -> 9;

225 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
8 -> 225 [arrowhead = none ];
225 -> 10;

226 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
9 -> 226 [arrowhead = none ];
226 -> 41;

227 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
9 -> 227 [arrowhead = none ];
227 -> 42;

228 [label="ONLY EVAL with clause\nno(X17) :- ','(call(X17), ','(!_3, failure(a))).\nand substitutionX17 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
10 -> 228 [arrowhead = none ];
228 -> 11;

229 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
11 -> 229 [arrowhead = none ];
229 -> 12;

230 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
12 -> 230 [arrowhead = none ];
230 -> 13;

231 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
13 -> 231 [arrowhead = none ];
231 -> 14;

232 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
14 -> 232 [arrowhead = none ];
232 -> 15;

233 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
15 -> 233 [arrowhead = none ];
233 -> 16;

234 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
16 -> 234 [arrowhead = none ];
234 -> 17;

235 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
17 -> 235 [arrowhead = none ];
235 -> 18;

236 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
18 -> 236 [arrowhead = none ];
236 -> 19;

237 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
18 -> 237 [arrowhead = none ];
237 -> 20;

238 [label="EVAL with clause\ndiv(X36, X37, s(X38), X39) :- ','(no(zero(X36)), ','(no(zero(X37)), ','(minus(X36, X37, X40), ','(!_1, div(X40, X37, X38, X39))))).\nand substitutionX36 -> 0,\nX37 -> 0,\nX38 -> T21,\nT3 -> s(T21),\nT4 -> T22,\nX39 -> T22,\nT19 -> T21,\nT20 -> T22", fontsize=14, style = filled, fillcolor = lightblue];
19 -> 238 [arrowhead = none ];
238 -> 21;

239 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
19 -> 239 [arrowhead = none ];
239 -> 22;

240 [label="EVAL with clause\ndiv(X52, X53, X54, X52) :- ','(no(zero(X52)), no(zero(X53))).\nand substitutionX52 -> 0,\nX53 -> 0,\nT3 -> T25,\nX54 -> T25,\nT4 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
20 -> 240 [arrowhead = none ];
240 -> 31;

241 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
20 -> 241 [arrowhead = none ];
241 -> 32;

242 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
21 -> 242 [arrowhead = none ];
242 -> 23;

243 [label="ONLY EVAL with clause\nno(X44) :- ','(call(X44), ','(!_7, failure(a))).\nand substitutionX44 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
23 -> 243 [arrowhead = none ];
243 -> 24;

244 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
24 -> 244 [arrowhead = none ];
244 -> 25;

245 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
25 -> 245 [arrowhead = none ];
245 -> 26;

246 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
26 -> 246 [arrowhead = none ];
246 -> 27;

247 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
27 -> 247 [arrowhead = none ];
247 -> 28;

248 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
28 -> 248 [arrowhead = none ];
248 -> 29;

249 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
29 -> 249 [arrowhead = none ];
249 -> 30;

250 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
31 -> 250 [arrowhead = none ];
250 -> 33;

251 [label="ONLY EVAL with clause\nno(X57) :- ','(call(X57), ','(!_11, failure(a))).\nand substitutionX57 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
33 -> 251 [arrowhead = none ];
251 -> 34;

252 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
34 -> 252 [arrowhead = none ];
252 -> 35;

253 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
35 -> 253 [arrowhead = none ];
253 -> 36;

254 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
36 -> 254 [arrowhead = none ];
254 -> 37;

255 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
37 -> 255 [arrowhead = none ];
255 -> 38;

256 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
38 -> 256 [arrowhead = none ];
256 -> 39;

257 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
39 -> 257 [arrowhead = none ];
257 -> 40;

258 [label="EVAL with clause\ndiv(X76, X77, s(X78), X79) :- ','(no(zero(X76)), ','(no(zero(X77)), ','(minus(X76, X77, X80), ','(!_1, div(X80, X77, X78, X79))))).\nand substitutionT8 -> T38,\nX76 -> T38,\nX77 -> 0,\nX78 -> T41,\nT3 -> s(T41),\nT4 -> T42,\nX79 -> T42,\nT39 -> T41,\nT40 -> T42", fontsize=14, style = filled, fillcolor = lightblue];
41 -> 258 [arrowhead = none ];
258 -> 43;

259 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
41 -> 259 [arrowhead = none ];
259 -> 44;

260 [label="EVAL with clause\ndiv(X101, X102, X103, X101) :- ','(no(zero(X101)), no(zero(X102))).\nand substitutionT8 -> T57,\nX101 -> T57,\nX102 -> 0,\nT3 -> T58,\nX103 -> T58,\nT4 -> T57", fontsize=14, style = filled, fillcolor = lightblue];
42 -> 260 [arrowhead = none ];
260 -> 65;

261 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
42 -> 261 [arrowhead = none ];
261 -> 66;

262 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
43 -> 262 [arrowhead = none ];
262 -> 45;

263 [label="ONLY EVAL with clause\nno(X84) :- ','(call(X84), ','(!_15, failure(a))).\nand substitutionT38 -> T46,\nX84 -> zero(T46)", fontsize=14, style = filled, fillcolor = lightblue];
45 -> 263 [arrowhead = none ];
263 -> 46;

264 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
46 -> 264 [arrowhead = none ];
264 -> 47;

265 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
47 -> 265 [arrowhead = none ];
265 -> 48;

266 [label="EVAL with clause\nzero(0).\nand substitutionT46 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
48 -> 266 [arrowhead = none ];
266 -> 49;

267 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
48 -> 267 [arrowhead = none ];
267 -> 50;

268 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
49 -> 268 [arrowhead = none ];
268 -> 51;

269 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
50 -> 269 [arrowhead = none ];
269 -> 54;

270 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
51 -> 270 [arrowhead = none ];
270 -> 52;

271 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
52 -> 271 [arrowhead = none ];
271 -> 53;

272 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
54 -> 272 [arrowhead = none ];
272 -> 55;

273 [label="ONLY EVAL with clause\nno(X89).\nand substitutionT46 -> T50,\nX89 -> zero(T50)", fontsize=14, style = filled, fillcolor = lightblue];
55 -> 273 [arrowhead = none ];
273 -> 56;

274 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
56 -> 274 [arrowhead = none ];
274 -> 57;

275 [label="ONLY EVAL with clause\nno(X93) :- ','(call(X93), ','(!_19, failure(a))).\nand substitutionX93 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
57 -> 275 [arrowhead = none ];
275 -> 58;

276 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
58 -> 276 [arrowhead = none ];
276 -> 59;

277 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
59 -> 277 [arrowhead = none ];
277 -> 60;

278 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
60 -> 278 [arrowhead = none ];
278 -> 61;

279 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
61 -> 279 [arrowhead = none ];
279 -> 62;

280 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
62 -> 280 [arrowhead = none ];
280 -> 63;

281 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
63 -> 281 [arrowhead = none ];
281 -> 64;

282 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
65 -> 282 [arrowhead = none ];
282 -> 67;

283 [label="ONLY EVAL with clause\nno(X106) :- ','(call(X106), ','(!_23, failure(a))).\nand substitutionT57 -> T61,\nX106 -> zero(T61)", fontsize=14, style = filled, fillcolor = lightblue];
67 -> 283 [arrowhead = none ];
283 -> 68;

284 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
68 -> 284 [arrowhead = none ];
284 -> 69;

285 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
69 -> 285 [arrowhead = none ];
285 -> 70;

286 [label="EVAL with clause\nzero(0).\nand substitutionT61 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
70 -> 286 [arrowhead = none ];
286 -> 71;

287 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
70 -> 287 [arrowhead = none ];
287 -> 72;

288 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
71 -> 288 [arrowhead = none ];
288 -> 73;

289 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
72 -> 289 [arrowhead = none ];
289 -> 76;

290 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
73 -> 290 [arrowhead = none ];
290 -> 74;

291 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
74 -> 291 [arrowhead = none ];
291 -> 75;

292 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
76 -> 292 [arrowhead = none ];
292 -> 77;

293 [label="ONLY EVAL with clause\nno(X109).\nand substitutionT61 -> T64,\nX109 -> zero(T64)", fontsize=14, style = filled, fillcolor = lightblue];
77 -> 293 [arrowhead = none ];
293 -> 78;

294 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
78 -> 294 [arrowhead = none ];
294 -> 79;

295 [label="ONLY EVAL with clause\nno(X112) :- ','(call(X112), ','(!_27, failure(a))).\nand substitutionX112 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
79 -> 295 [arrowhead = none ];
295 -> 80;

296 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
80 -> 296 [arrowhead = none ];
296 -> 81;

297 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
81 -> 297 [arrowhead = none ];
297 -> 82;

298 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
82 -> 298 [arrowhead = none ];
298 -> 83;

299 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
83 -> 299 [arrowhead = none ];
299 -> 84;

300 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
84 -> 300 [arrowhead = none ];
300 -> 85;

301 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
85 -> 301 [arrowhead = none ];
301 -> 86;

302 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
87 -> 302 [arrowhead = none ];
302 -> 89;

303 [label="EVAL with clause\ndiv(X173, X174, s(X175), X176) :- ','(no(zero(X173)), ','(no(zero(X174)), ','(minus(X173, X174, X177), ','(!_1, div(X177, X174, X175, X176))))).\nand substitutionT1 -> T100,\nX173 -> T100,\nT2 -> T101,\nX174 -> T101,\nX175 -> T104,\nT3 -> s(T104),\nT4 -> T105,\nX176 -> T105,\nT102 -> T104,\nT103 -> T105", fontsize=14, style = filled, fillcolor = lightblue];
88 -> 303 [arrowhead = none ];
303 -> 121;

304 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
88 -> 304 [arrowhead = none ];
304 -> 122;

305 [label="ONLY EVAL with clause\nno(X117) :- ','(call(X117), ','(!_31, failure(a))).\nand substitutionT66 -> T69,\nX117 -> zero(T69)", fontsize=14, style = filled, fillcolor = lightblue];
89 -> 305 [arrowhead = none ];
305 -> 90;

306 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
90 -> 306 [arrowhead = none ];
306 -> 91;

307 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
91 -> 307 [arrowhead = none ];
307 -> 92;

308 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(0, T69, T3, T4), div(X9, 0, X10, X11))", fontsize=14, style = filled, fillcolor = lightgreen];
92 -> 308 [arrowhead = none ];
308 -> 93;

309 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
93 -> 309 [arrowhead = none ];
309 -> 94;

310 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
94 -> 310 [arrowhead = none ];
310 -> 95;

311 [label="ONLY EVAL with clause\nno(X120).\nand substitutionT69 -> T72,\nX120 -> zero(T72)", fontsize=14, style = filled, fillcolor = lightblue];
95 -> 311 [arrowhead = none ];
311 -> 96;

312 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
96 -> 312 [arrowhead = none ];
312 -> 97;

313 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
97 -> 313 [arrowhead = none ];
313 -> 98;

314 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
98 -> 314 [arrowhead = none ];
314 -> 99;

315 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
98 -> 315 [arrowhead = none ];
315 -> 100;

316 [label="EVAL with clause\ndiv(X139, X140, s(X141), X142) :- ','(no(zero(X139)), ','(no(zero(X140)), ','(minus(X139, X140, X143), ','(!_1, div(X143, X140, X141, X142))))).\nand substitutionX139 -> 0,\nT72 -> T85,\nX140 -> T85,\nX141 -> T88,\nT3 -> s(T88),\nT4 -> T89,\nX142 -> T89,\nT86 -> T88,\nT87 -> T89", fontsize=14, style = filled, fillcolor = lightblue];
99 -> 316 [arrowhead = none ];
316 -> 101;

317 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
99 -> 317 [arrowhead = none ];
317 -> 102;

318 [label="EVAL with clause\ndiv(X163, X164, X165, X163) :- ','(no(zero(X163)), no(zero(X164))).\nand substitutionX163 -> 0,\nT72 -> T94,\nX164 -> T94,\nT3 -> T95,\nX165 -> T95,\nT4 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
100 -> 318 [arrowhead = none ];
318 -> 111;

319 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
100 -> 319 [arrowhead = none ];
319 -> 112;

320 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
101 -> 320 [arrowhead = none ];
320 -> 103;

321 [label="ONLY EVAL with clause\nno(X151) :- ','(call(X151), ','(!_34, failure(a))).\nand substitutionX151 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
103 -> 321 [arrowhead = none ];
321 -> 104;

322 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
104 -> 322 [arrowhead = none ];
322 -> 105;

323 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
105 -> 323 [arrowhead = none ];
323 -> 106;

324 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
106 -> 324 [arrowhead = none ];
324 -> 107;

325 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
107 -> 325 [arrowhead = none ];
325 -> 108;

326 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
108 -> 326 [arrowhead = none ];
326 -> 109;

327 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
109 -> 327 [arrowhead = none ];
327 -> 110;

328 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
111 -> 328 [arrowhead = none ];
328 -> 113;

329 [label="ONLY EVAL with clause\nno(X168) :- ','(call(X168), ','(!_38, failure(a))).\nand substitutionX168 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
113 -> 329 [arrowhead = none ];
329 -> 114;

330 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
114 -> 330 [arrowhead = none ];
330 -> 115;

331 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
115 -> 331 [arrowhead = none ];
331 -> 116;

332 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
116 -> 332 [arrowhead = none ];
332 -> 117;

333 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
117 -> 333 [arrowhead = none ];
333 -> 118;

334 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
118 -> 334 [arrowhead = none ];
334 -> 119;

335 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
119 -> 335 [arrowhead = none ];
335 -> 120;

336 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
121 -> 336 [arrowhead = none ];
336 -> 123;

337 [label="EVAL with clause\ndiv(X305, X306, X307, X305) :- ','(no(zero(X305)), no(zero(X306))).\nand substitutionT1 -> T199,\nX305 -> T199,\nT2 -> T200,\nX306 -> T200,\nT3 -> T201,\nX307 -> T201,\nT4 -> T199", fontsize=14, style = filled, fillcolor = lightblue];
122 -> 337 [arrowhead = none ];
337 -> 192;

338 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
122 -> 338 [arrowhead = none ];
338 -> 193;

339 [label="ONLY EVAL with clause\nno(X180) :- ','(call(X180), ','(!_42, failure(a))).\nand substitutionT100 -> T108,\nX180 -> zero(T108)", fontsize=14, style = filled, fillcolor = lightblue];
123 -> 339 [arrowhead = none ];
339 -> 124;

340 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
124 -> 340 [arrowhead = none ];
340 -> 125;

341 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
125 -> 341 [arrowhead = none ];
341 -> 126;

342 [label="EVAL with clause\nzero(0).\nand substitutionT108 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
126 -> 342 [arrowhead = none ];
342 -> 127;

343 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
126 -> 343 [arrowhead = none ];
343 -> 128;

344 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
127 -> 344 [arrowhead = none ];
344 -> 129;

345 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
128 -> 345 [arrowhead = none ];
345 -> 143;

346 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
129 -> 346 [arrowhead = none ];
346 -> 130;

347 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
130 -> 347 [arrowhead = none ];
347 -> 131;

348 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
131 -> 348 [arrowhead = none ];
348 -> 132;

349 [label="EVAL with clause\ndiv(X192, X193, X194, X192) :- ','(no(zero(X192)), no(zero(X193))).\nand substitutionX192 -> 0,\nT101 -> T113,\nX193 -> T113,\nT3 -> T114,\nX194 -> T114,\nT4 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
132 -> 349 [arrowhead = none ];
349 -> 133;

350 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
132 -> 350 [arrowhead = none ];
350 -> 134;

351 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
133 -> 351 [arrowhead = none ];
351 -> 135;

352 [label="ONLY EVAL with clause\nno(X197) :- ','(call(X197), ','(!_46, failure(a))).\nand substitutionX197 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
135 -> 352 [arrowhead = none ];
352 -> 136;

353 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
136 -> 353 [arrowhead = none ];
353 -> 137;

354 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
137 -> 354 [arrowhead = none ];
354 -> 138;

355 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
138 -> 355 [arrowhead = none ];
355 -> 139;

356 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
139 -> 356 [arrowhead = none ];
356 -> 140;

357 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
140 -> 357 [arrowhead = none ];
357 -> 141;

358 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
141 -> 358 [arrowhead = none ];
358 -> 142;

359 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
143 -> 359 [arrowhead = none ];
359 -> 144;

360 [label="ONLY EVAL with clause\nno(X206).\nand substitutionT108 -> T121,\nX206 -> zero(T121)", fontsize=14, style = filled, fillcolor = lightblue];
144 -> 360 [arrowhead = none ];
360 -> 145;

361 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
145 -> 361 [arrowhead = none ];
361 -> 146;

362 [label="ONLY EVAL with clause\nno(X215) :- ','(call(X215), ','(!_50, failure(a))).\nand substitutionT101 -> T128,\nX215 -> zero(T128)", fontsize=14, style = filled, fillcolor = lightblue];
146 -> 362 [arrowhead = none ];
362 -> 147;

363 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
147 -> 363 [arrowhead = none ];
363 -> 148;

364 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
148 -> 364 [arrowhead = none ];
364 -> 149;

365 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(T121, T128, T3, T4), div(X9, 0, X10, X11))", fontsize=14, style = filled, fillcolor = lightgreen];
149 -> 365 [arrowhead = none ];
365 -> 150;

366 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
150 -> 366 [arrowhead = none ];
366 -> 151;

367 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
151 -> 367 [arrowhead = none ];
367 -> 152;

368 [label="ONLY EVAL with clause\nno(X224).\nand substitutionT128 -> T135,\nX224 -> zero(T135)", fontsize=14, style = filled, fillcolor = lightblue];
152 -> 368 [arrowhead = none ];
368 -> 153;

369 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
153 -> 369 [arrowhead = none ];
369 -> 154;

370 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
153 -> 370 [arrowhead = none ];
370 -> 155;

371 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
154 -> 371 [arrowhead = none ];
371 -> 156;

372 [label="SPLIT 2\nnew knowledge:\nT121 is ground\nT135 is ground\nT144 is ground\nreplacements:X177 -> T144", fontsize=14, style = filled, fillcolor = violet];
154 -> 372 [arrowhead = none ];
372 -> 157;

373 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
155 -> 373 [arrowhead = none ];
373 -> 171;

374 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
156 -> 374 [arrowhead = none ];
374 -> 158;

375 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
157 -> 375 [arrowhead = none ];
375 -> 170;

376 [label="BACKTRACK\nfor clause: minus(X, 0, X)\nwith clash: (div(T121, T135, T3, T4), div(X9, 0, X10, X11))", fontsize=14, style = filled, fillcolor = lightgreen];
158 -> 376 [arrowhead = none ];
376 -> 159;

377 [label="EVAL with clause\nminus(s(X252), s(X253), X254) :- minus(X252, X253, X254).\nand substitutionX252 -> T154,\nT121 -> s(T154),\nX253 -> T155,\nT135 -> s(T155),\nX177 -> X255,\nX254 -> X255", fontsize=14, style = filled, fillcolor = lightblue];
159 -> 377 [arrowhead = none ];
377 -> 160;

378 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
159 -> 378 [arrowhead = none ];
378 -> 161;

379 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
160 -> 379 [arrowhead = none ];
379 -> 162;

380 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
162 -> 380 [arrowhead = none ];
380 -> 163;

381 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
162 -> 381 [arrowhead = none ];
381 -> 164;

382 [label="EVAL with clause\nminus(X262, 0, X262).\nand substitutionT154 -> T162,\nX262 -> T162,\nT155 -> 0,\nX255 -> T162", fontsize=14, style = filled, fillcolor = lightblue];
163 -> 382 [arrowhead = none ];
382 -> 165;

383 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
163 -> 383 [arrowhead = none ];
383 -> 166;

384 [label="EVAL with clause\nminus(s(X271), s(X272), X273) :- minus(X271, X272, X273).\nand substitutionX271 -> T167,\nT154 -> s(T167),\nX272 -> T168,\nT155 -> s(T168),\nX255 -> X274,\nX273 -> X274", fontsize=14, style = filled, fillcolor = lightblue];
164 -> 384 [arrowhead = none ];
384 -> 168;

385 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
164 -> 385 [arrowhead = none ];
385 -> 169;

386 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
165 -> 386 [arrowhead = none ];
386 -> 167;

387 [label="INSTANCE with matching:\nT154 -> T167\nT155 -> T168\nX255 -> X274", fontsize=14, style = filled, fillcolor = lightgrey];
168 -> 387 [arrowhead = none , style=dashed];
387 -> 160[style=dashed];

388 [label="INSTANCE with matching:\nT1 -> T144\nT2 -> T135\nT3 -> T104\nT4 -> T105", fontsize=14, style = filled, fillcolor = lightgrey];
170 -> 388 [arrowhead = none , style=dashed];
388 -> 1[style=dashed];

389 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
171 -> 389 [arrowhead = none ];
389 -> 172;

390 [label="EVAL with clause\ndiv(X287, X288, X289, X287) :- ','(no(zero(X287)), no(zero(X288))).\nand substitutionT121 -> T181,\nX287 -> T181,\nT135 -> T182,\nX288 -> T182,\nT3 -> T183,\nX289 -> T183,\nT4 -> T181", fontsize=14, style = filled, fillcolor = lightblue];
172 -> 390 [arrowhead = none ];
390 -> 173;

391 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
172 -> 391 [arrowhead = none ];
391 -> 174;

392 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
173 -> 392 [arrowhead = none ];
392 -> 175;

393 [label="ONLY EVAL with clause\nno(X292) :- ','(call(X292), ','(!_55, failure(a))).\nand substitutionT181 -> T186,\nX292 -> zero(T186)", fontsize=14, style = filled, fillcolor = lightblue];
175 -> 393 [arrowhead = none ];
393 -> 176;

394 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
176 -> 394 [arrowhead = none ];
394 -> 177;

395 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
177 -> 395 [arrowhead = none ];
395 -> 178;

396 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (zero(T186), zero(0))", fontsize=14, style = filled, fillcolor = lightgreen];
178 -> 396 [arrowhead = none ];
396 -> 179;

397 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
179 -> 397 [arrowhead = none ];
397 -> 180;

398 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
180 -> 398 [arrowhead = none ];
398 -> 181;

399 [label="ONLY EVAL with clause\nno(X295).\nand substitutionT186 -> T189,\nX295 -> zero(T189)", fontsize=14, style = filled, fillcolor = lightblue];
181 -> 399 [arrowhead = none ];
399 -> 182;

400 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
182 -> 400 [arrowhead = none ];
400 -> 183;

401 [label="ONLY EVAL with clause\nno(X298) :- ','(call(X298), ','(!_58, failure(a))).\nand substitutionT182 -> T192,\nX298 -> zero(T192)", fontsize=14, style = filled, fillcolor = lightblue];
183 -> 401 [arrowhead = none ];
401 -> 184;

402 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
184 -> 402 [arrowhead = none ];
402 -> 185;

403 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
185 -> 403 [arrowhead = none ];
403 -> 186;

404 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(T189, T192, T3, T4), div(X9, 0, X10, X11))", fontsize=14, style = filled, fillcolor = lightgreen];
186 -> 404 [arrowhead = none ];
404 -> 187;

405 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
187 -> 405 [arrowhead = none ];
405 -> 188;

406 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
188 -> 406 [arrowhead = none ];
406 -> 189;

407 [label="ONLY EVAL with clause\nno(X301).\nand substitutionT192 -> T195,\nX301 -> zero(T195)", fontsize=14, style = filled, fillcolor = lightblue];
189 -> 407 [arrowhead = none ];
407 -> 190;

408 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
190 -> 408 [arrowhead = none ];
408 -> 191;

409 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
192 -> 409 [arrowhead = none ];
409 -> 194;

410 [label="ONLY EVAL with clause\nno(X310) :- ','(call(X310), ','(!_61, failure(a))).\nand substitutionT199 -> T204,\nX310 -> zero(T204)", fontsize=14, style = filled, fillcolor = lightblue];
194 -> 410 [arrowhead = none ];
410 -> 195;

411 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
195 -> 411 [arrowhead = none ];
411 -> 196;

412 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
196 -> 412 [arrowhead = none ];
412 -> 197;

413 [label="EVAL with clause\nzero(0).\nand substitutionT204 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
197 -> 413 [arrowhead = none ];
413 -> 198;

414 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
197 -> 414 [arrowhead = none ];
414 -> 199;

415 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
198 -> 415 [arrowhead = none ];
415 -> 200;

416 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
199 -> 416 [arrowhead = none ];
416 -> 203;

417 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
200 -> 417 [arrowhead = none ];
417 -> 201;

418 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
201 -> 418 [arrowhead = none ];
418 -> 202;

419 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
203 -> 419 [arrowhead = none ];
419 -> 204;

420 [label="ONLY EVAL with clause\nno(X313).\nand substitutionT204 -> T207,\nX313 -> zero(T207)", fontsize=14, style = filled, fillcolor = lightblue];
204 -> 420 [arrowhead = none ];
420 -> 205;

421 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
205 -> 421 [arrowhead = none ];
421 -> 206;

422 [label="ONLY EVAL with clause\nno(X316) :- ','(call(X316), ','(!_65, failure(a))).\nand substitutionT200 -> T210,\nX316 -> zero(T210)", fontsize=14, style = filled, fillcolor = lightblue];
206 -> 422 [arrowhead = none ];
422 -> 207;

423 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
207 -> 423 [arrowhead = none ];
423 -> 208;

424 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
208 -> 424 [arrowhead = none ];
424 -> 209;

425 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(T207, T210, T3, T4), div(X9, 0, X10, X11))", fontsize=14, style = filled, fillcolor = lightgreen];
209 -> 425 [arrowhead = none ];
425 -> 210;

426 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
210 -> 426 [arrowhead = none ];
426 -> 211;

427 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
211 -> 427 [arrowhead = none ];
427 -> 212;

428 [label="ONLY EVAL with clause\nno(X319).\nand substitutionT210 -> T213,\nX319 -> zero(T213)", fontsize=14, style = filled, fillcolor = lightblue];
212 -> 428 [arrowhead = none ];
428 -> 213;

429 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
213 -> 429 [arrowhead = none ];
429 -> 214;

}

(2) Obligation:

Clauses:

minusA(T162, 0, T162).
minusA(s(T167), s(T168), X274) :- minusA(T167, T168, X274).
minusB(s(T154), s(T155), X255) :- minusA(T154, T155, X255).
divC(0, T72, 0, 0).
divC(T121, T135, s(T104), T105) :- minusB(T121, T135, X177).
divC(T121, T135, s(T104), T105) :- ','(minusB(T121, T135, T144), divC(T144, T135, T104, T105)).
divC(T189, T195, T183, T189).
divC(T207, T213, T201, T207).

Query: divC(g,g,a,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:
divC_in: (b,b,f,f)
minusB_in: (b,b,f)
minusA_in: (b,b,f)
Transforming Prolog into the following Term Rewriting System:
Pi-finite rewrite system:
The TRS R consists of the following rules:

divC_in_ggaa(0, T72, 0, 0) → divC_out_ggaa(0, T72, 0, 0)
divC_in_ggaa(T121, T135, s(T104), T105) → U3_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, X177))
minusB_in_gga(s(T154), s(T155), X255) → U2_gga(T154, T155, X255, minusA_in_gga(T154, T155, X255))
minusA_in_gga(T162, 0, T162) → minusA_out_gga(T162, 0, T162)
minusA_in_gga(s(T167), s(T168), X274) → U1_gga(T167, T168, X274, minusA_in_gga(T167, T168, X274))
U1_gga(T167, T168, X274, minusA_out_gga(T167, T168, X274)) → minusA_out_gga(s(T167), s(T168), X274)
U2_gga(T154, T155, X255, minusA_out_gga(T154, T155, X255)) → minusB_out_gga(s(T154), s(T155), X255)
U3_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, X177)) → divC_out_ggaa(T121, T135, s(T104), T105)
divC_in_ggaa(T121, T135, s(T104), T105) → U4_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, T144))
U4_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → U5_ggaa(T121, T135, T104, T105, divC_in_ggaa(T144, T135, T104, T105))
divC_in_ggaa(T189, T195, T183, T189) → divC_out_ggaa(T189, T195, T183, T189)
U5_ggaa(T121, T135, T104, T105, divC_out_ggaa(T144, T135, T104, T105)) → divC_out_ggaa(T121, T135, s(T104), T105)

Infinitary Constructor Rewriting Termination of PiTRS implies Termination of Prolog

(4) Obligation:

Pi-finite rewrite system:
The TRS R consists of the following rules:

divC_in_ggaa(0, T72, 0, 0) → divC_out_ggaa(0, T72, 0, 0)
divC_in_ggaa(T121, T135, s(T104), T105) → U3_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, X177))
minusB_in_gga(s(T154), s(T155), X255) → U2_gga(T154, T155, X255, minusA_in_gga(T154, T155, X255))
minusA_in_gga(T162, 0, T162) → minusA_out_gga(T162, 0, T162)
minusA_in_gga(s(T167), s(T168), X274) → U1_gga(T167, T168, X274, minusA_in_gga(T167, T168, X274))
U1_gga(T167, T168, X274, minusA_out_gga(T167, T168, X274)) → minusA_out_gga(s(T167), s(T168), X274)
U2_gga(T154, T155, X255, minusA_out_gga(T154, T155, X255)) → minusB_out_gga(s(T154), s(T155), X255)
U3_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, X177)) → divC_out_ggaa(T121, T135, s(T104), T105)
divC_in_ggaa(T121, T135, s(T104), T105) → U4_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, T144))
U4_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → U5_ggaa(T121, T135, T104, T105, divC_in_ggaa(T144, T135, T104, T105))
divC_in_ggaa(T189, T195, T183, T189) → divC_out_ggaa(T189, T195, T183, T189)
U5_ggaa(T121, T135, T104, T105, divC_out_ggaa(T144, T135, T104, T105)) → divC_out_ggaa(T121, T135, s(T104), T105)

(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:

DIVC_IN_GGAA(T121, T135, s(T104), T105) → U3_GGAA(T121, T135, T104, T105, minusB_in_gga(T121, T135, X177))
DIVC_IN_GGAA(T121, T135, s(T104), T105) → MINUSB_IN_GGA(T121, T135, X177)
MINUSB_IN_GGA(s(T154), s(T155), X255) → U2_GGA(T154, T155, X255, minusA_in_gga(T154, T155, X255))
MINUSB_IN_GGA(s(T154), s(T155), X255) → MINUSA_IN_GGA(T154, T155, X255)
MINUSA_IN_GGA(s(T167), s(T168), X274) → U1_GGA(T167, T168, X274, minusA_in_gga(T167, T168, X274))
MINUSA_IN_GGA(s(T167), s(T168), X274) → MINUSA_IN_GGA(T167, T168, X274)
DIVC_IN_GGAA(T121, T135, s(T104), T105) → U4_GGAA(T121, T135, T104, T105, minusB_in_gga(T121, T135, T144))
U4_GGAA(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → U5_GGAA(T121, T135, T104, T105, divC_in_ggaa(T144, T135, T104, T105))
U4_GGAA(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → DIVC_IN_GGAA(T144, T135, T104, T105)

The TRS R consists of the following rules:

divC_in_ggaa(0, T72, 0, 0) → divC_out_ggaa(0, T72, 0, 0)
divC_in_ggaa(T121, T135, s(T104), T105) → U3_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, X177))
minusB_in_gga(s(T154), s(T155), X255) → U2_gga(T154, T155, X255, minusA_in_gga(T154, T155, X255))
minusA_in_gga(T162, 0, T162) → minusA_out_gga(T162, 0, T162)
minusA_in_gga(s(T167), s(T168), X274) → U1_gga(T167, T168, X274, minusA_in_gga(T167, T168, X274))
U1_gga(T167, T168, X274, minusA_out_gga(T167, T168, X274)) → minusA_out_gga(s(T167), s(T168), X274)
U2_gga(T154, T155, X255, minusA_out_gga(T154, T155, X255)) → minusB_out_gga(s(T154), s(T155), X255)
U3_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, X177)) → divC_out_ggaa(T121, T135, s(T104), T105)
divC_in_ggaa(T121, T135, s(T104), T105) → U4_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, T144))
U4_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → U5_ggaa(T121, T135, T104, T105, divC_in_ggaa(T144, T135, T104, T105))
divC_in_ggaa(T189, T195, T183, T189) → divC_out_ggaa(T189, T195, T183, T189)
U5_ggaa(T121, T135, T104, T105, divC_out_ggaa(T144, T135, T104, T105)) → divC_out_ggaa(T121, T135, s(T104), T105)

The argument filtering Pi contains the following mapping:
divC_in_ggaa(x1, x2, x3, x4) = divC_in_ggaa(x1, x2)
0 = 0
divC_out_ggaa(x1, x2, x3, x4) = divC_out_ggaa
U3_ggaa(x1, x2, x3, x4, x5) = U3_ggaa(x5)
minusB_in_gga(x1, x2, x3) = minusB_in_gga(x1, x2)
s(x1) = s(x1)
U2_gga(x1, x2, x3, x4) = U2_gga(x4)
minusA_in_gga(x1, x2, x3) = minusA_in_gga(x1, x2)
minusA_out_gga(x1, x2, x3) = minusA_out_gga(x3)
U1_gga(x1, x2, x3, x4) = U1_gga(x4)
minusB_out_gga(x1, x2, x3) = minusB_out_gga(x3)
U4_ggaa(x1, x2, x3, x4, x5) = U4_ggaa(x2, x5)
U5_ggaa(x1, x2, x3, x4, x5) = U5_ggaa(x5)
DIVC_IN_GGAA(x1, x2, x3, x4) = DIVC_IN_GGAA(x1, x2)
U3_GGAA(x1, x2, x3, x4, x5) = U3_GGAA(x5)
MINUSB_IN_GGA(x1, x2, x3) = MINUSB_IN_GGA(x1, x2)
U2_GGA(x1, x2, x3, x4) = U2_GGA(x4)
MINUSA_IN_GGA(x1, x2, x3) = MINUSA_IN_GGA(x1, x2)
U1_GGA(x1, x2, x3, x4) = U1_GGA(x4)
U4_GGAA(x1, x2, x3, x4, x5) = U4_GGAA(x2, x5)
U5_GGAA(x1, x2, x3, x4, x5) = U5_GGAA(x5)

We have to consider all (P,R,Pi)-chains

(6) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

DIVC_IN_GGAA(T121, T135, s(T104), T105) → U3_GGAA(T121, T135, T104, T105, minusB_in_gga(T121, T135, X177))
DIVC_IN_GGAA(T121, T135, s(T104), T105) → MINUSB_IN_GGA(T121, T135, X177)
MINUSB_IN_GGA(s(T154), s(T155), X255) → U2_GGA(T154, T155, X255, minusA_in_gga(T154, T155, X255))
MINUSB_IN_GGA(s(T154), s(T155), X255) → MINUSA_IN_GGA(T154, T155, X255)
MINUSA_IN_GGA(s(T167), s(T168), X274) → U1_GGA(T167, T168, X274, minusA_in_gga(T167, T168, X274))
MINUSA_IN_GGA(s(T167), s(T168), X274) → MINUSA_IN_GGA(T167, T168, X274)
DIVC_IN_GGAA(T121, T135, s(T104), T105) → U4_GGAA(T121, T135, T104, T105, minusB_in_gga(T121, T135, T144))
U4_GGAA(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → U5_GGAA(T121, T135, T104, T105, divC_in_ggaa(T144, T135, T104, T105))
U4_GGAA(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → DIVC_IN_GGAA(T144, T135, T104, T105)

The TRS R consists of the following rules:

divC_in_ggaa(0, T72, 0, 0) → divC_out_ggaa(0, T72, 0, 0)
divC_in_ggaa(T121, T135, s(T104), T105) → U3_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, X177))
minusB_in_gga(s(T154), s(T155), X255) → U2_gga(T154, T155, X255, minusA_in_gga(T154, T155, X255))
minusA_in_gga(T162, 0, T162) → minusA_out_gga(T162, 0, T162)
minusA_in_gga(s(T167), s(T168), X274) → U1_gga(T167, T168, X274, minusA_in_gga(T167, T168, X274))
U1_gga(T167, T168, X274, minusA_out_gga(T167, T168, X274)) → minusA_out_gga(s(T167), s(T168), X274)
U2_gga(T154, T155, X255, minusA_out_gga(T154, T155, X255)) → minusB_out_gga(s(T154), s(T155), X255)
U3_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, X177)) → divC_out_ggaa(T121, T135, s(T104), T105)
divC_in_ggaa(T121, T135, s(T104), T105) → U4_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, T144))
U4_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → U5_ggaa(T121, T135, T104, T105, divC_in_ggaa(T144, T135, T104, T105))
divC_in_ggaa(T189, T195, T183, T189) → divC_out_ggaa(T189, T195, T183, T189)
U5_ggaa(T121, T135, T104, T105, divC_out_ggaa(T144, T135, T104, T105)) → divC_out_ggaa(T121, T135, s(T104), T105)

(7) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 2 SCCs with 6 less nodes.

(8) Complex Obligation (AND)

(9) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

MINUSA_IN_GGA(s(T167), s(T168), X274) → MINUSA_IN_GGA(T167, T168, X274)

The TRS R consists of the following rules:

divC_in_ggaa(0, T72, 0, 0) → divC_out_ggaa(0, T72, 0, 0)
divC_in_ggaa(T121, T135, s(T104), T105) → U3_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, X177))
minusB_in_gga(s(T154), s(T155), X255) → U2_gga(T154, T155, X255, minusA_in_gga(T154, T155, X255))
minusA_in_gga(T162, 0, T162) → minusA_out_gga(T162, 0, T162)
minusA_in_gga(s(T167), s(T168), X274) → U1_gga(T167, T168, X274, minusA_in_gga(T167, T168, X274))
U1_gga(T167, T168, X274, minusA_out_gga(T167, T168, X274)) → minusA_out_gga(s(T167), s(T168), X274)
U2_gga(T154, T155, X255, minusA_out_gga(T154, T155, X255)) → minusB_out_gga(s(T154), s(T155), X255)
U3_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, X177)) → divC_out_ggaa(T121, T135, s(T104), T105)
divC_in_ggaa(T121, T135, s(T104), T105) → U4_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, T144))
U4_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → U5_ggaa(T121, T135, T104, T105, divC_in_ggaa(T144, T135, T104, T105))
divC_in_ggaa(T189, T195, T183, T189) → divC_out_ggaa(T189, T195, T183, T189)
U5_ggaa(T121, T135, T104, T105, divC_out_ggaa(T144, T135, T104, T105)) → divC_out_ggaa(T121, T135, s(T104), T105)

(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:

MINUSA_IN_GGA(s(T167), s(T168), X274) → MINUSA_IN_GGA(T167, T168, X274)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
MINUSA_IN_GGA(x1, x2, x3) = MINUSA_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(12) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(13) Obligation:

Q DP problem:
The TRS P consists of the following rules:

MINUSA_IN_GGA(s(T167), s(T168)) → MINUSA_IN_GGA(T167, T168)

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:

MINUSA_IN_GGA(s(T167), s(T168)) → MINUSA_IN_GGA(T167, T168)
The graph contains the following edges 1 > 1, 2 > 2

(15) YES

(16) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

DIVC_IN_GGAA(T121, T135, s(T104), T105) → U4_GGAA(T121, T135, T104, T105, minusB_in_gga(T121, T135, T144))
U4_GGAA(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → DIVC_IN_GGAA(T144, T135, T104, T105)

The TRS R consists of the following rules:

divC_in_ggaa(0, T72, 0, 0) → divC_out_ggaa(0, T72, 0, 0)
divC_in_ggaa(T121, T135, s(T104), T105) → U3_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, X177))
minusB_in_gga(s(T154), s(T155), X255) → U2_gga(T154, T155, X255, minusA_in_gga(T154, T155, X255))
minusA_in_gga(T162, 0, T162) → minusA_out_gga(T162, 0, T162)
minusA_in_gga(s(T167), s(T168), X274) → U1_gga(T167, T168, X274, minusA_in_gga(T167, T168, X274))
U1_gga(T167, T168, X274, minusA_out_gga(T167, T168, X274)) → minusA_out_gga(s(T167), s(T168), X274)
U2_gga(T154, T155, X255, minusA_out_gga(T154, T155, X255)) → minusB_out_gga(s(T154), s(T155), X255)
U3_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, X177)) → divC_out_ggaa(T121, T135, s(T104), T105)
divC_in_ggaa(T121, T135, s(T104), T105) → U4_ggaa(T121, T135, T104, T105, minusB_in_gga(T121, T135, T144))
U4_ggaa(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → U5_ggaa(T121, T135, T104, T105, divC_in_ggaa(T144, T135, T104, T105))
divC_in_ggaa(T189, T195, T183, T189) → divC_out_ggaa(T189, T195, T183, T189)
U5_ggaa(T121, T135, T104, T105, divC_out_ggaa(T144, T135, T104, T105)) → divC_out_ggaa(T121, T135, s(T104), T105)

The argument filtering Pi contains the following mapping:
divC_in_ggaa(x1, x2, x3, x4) = divC_in_ggaa(x1, x2)
0 = 0
divC_out_ggaa(x1, x2, x3, x4) = divC_out_ggaa
U3_ggaa(x1, x2, x3, x4, x5) = U3_ggaa(x5)
minusB_in_gga(x1, x2, x3) = minusB_in_gga(x1, x2)
s(x1) = s(x1)
U2_gga(x1, x2, x3, x4) = U2_gga(x4)
minusA_in_gga(x1, x2, x3) = minusA_in_gga(x1, x2)
minusA_out_gga(x1, x2, x3) = minusA_out_gga(x3)
U1_gga(x1, x2, x3, x4) = U1_gga(x4)
minusB_out_gga(x1, x2, x3) = minusB_out_gga(x3)
U4_ggaa(x1, x2, x3, x4, x5) = U4_ggaa(x2, x5)
U5_ggaa(x1, x2, x3, x4, x5) = U5_ggaa(x5)
DIVC_IN_GGAA(x1, x2, x3, x4) = DIVC_IN_GGAA(x1, x2)
U4_GGAA(x1, x2, x3, x4, x5) = U4_GGAA(x2, x5)

We have to consider all (P,R,Pi)-chains

(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:

DIVC_IN_GGAA(T121, T135, s(T104), T105) → U4_GGAA(T121, T135, T104, T105, minusB_in_gga(T121, T135, T144))
U4_GGAA(T121, T135, T104, T105, minusB_out_gga(T121, T135, T144)) → DIVC_IN_GGAA(T144, T135, T104, T105)

The TRS R consists of the following rules:

minusB_in_gga(s(T154), s(T155), X255) → U2_gga(T154, T155, X255, minusA_in_gga(T154, T155, X255))
U2_gga(T154, T155, X255, minusA_out_gga(T154, T155, X255)) → minusB_out_gga(s(T154), s(T155), X255)
minusA_in_gga(T162, 0, T162) → minusA_out_gga(T162, 0, T162)
minusA_in_gga(s(T167), s(T168), X274) → U1_gga(T167, T168, X274, minusA_in_gga(T167, T168, X274))
U1_gga(T167, T168, X274, minusA_out_gga(T167, T168, X274)) → minusA_out_gga(s(T167), s(T168), X274)

The argument filtering Pi contains the following mapping:
0 = 0
minusB_in_gga(x1, x2, x3) = minusB_in_gga(x1, x2)
s(x1) = s(x1)
U2_gga(x1, x2, x3, x4) = U2_gga(x4)
minusA_in_gga(x1, x2, x3) = minusA_in_gga(x1, x2)
minusA_out_gga(x1, x2, x3) = minusA_out_gga(x3)
U1_gga(x1, x2, x3, x4) = U1_gga(x4)
minusB_out_gga(x1, x2, x3) = minusB_out_gga(x3)
DIVC_IN_GGAA(x1, x2, x3, x4) = DIVC_IN_GGAA(x1, x2)
U4_GGAA(x1, x2, x3, x4, x5) = U4_GGAA(x2, x5)

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:

DIVC_IN_GGAA(T121, T135) → U4_GGAA(T135, minusB_in_gga(T121, T135))
U4_GGAA(T135, minusB_out_gga(T144)) → DIVC_IN_GGAA(T144, T135)

The TRS R consists of the following rules:

minusB_in_gga(s(T154), s(T155)) → U2_gga(minusA_in_gga(T154, T155))
U2_gga(minusA_out_gga(X255)) → minusB_out_gga(X255)
minusA_in_gga(T162, 0) → minusA_out_gga(T162)
minusA_in_gga(s(T167), s(T168)) → U1_gga(minusA_in_gga(T167, T168))
U1_gga(minusA_out_gga(X274)) → minusA_out_gga(X274)

The set Q consists of the following terms:

minusB_in_gga(x0, x1)
U2_gga(x0)
minusA_in_gga(x0, x1)
U1_gga(x0)

We have to consider all (P,Q,R)-chains.

(21) QDPOrderProof (EQUIVALENT transformation)

We use the reduction pair processor [LPAR04,JAR06].

The following pairs can be oriented strictly and are deleted.

U4_GGAA(T135, minusB_out_gga(T144)) → DIVC_IN_GGAA(T144, T135)

The remaining pairs can at least be oriented weakly.
Used ordering: Polynomial Order [NEGPOLO,POLO] with Interpretation:

POL( U4_GGAA(x₁, x₂) ) = 2x₂ + 2

POL( minusB_in_gga(x₁, x₂) ) = x₁

POL( s(x₁) ) = x₁ + 2

POL( U2_gga(x₁) ) = x₁

POL( minusA_in_gga(x₁, x₂) ) = x₁ + 2

POL( 0 ) = 2

POL( minusA_out_gga(x₁) ) = x₁ + 2

POL( U1_gga(x₁) ) = x₁ + 1

POL( minusB_out_gga(x₁) ) = x₁ + 2

POL( DIVC_IN_GGAA(x₁, x₂) ) = 2x₁ + 2

The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented:

minusB_in_gga(s(T154), s(T155)) → U2_gga(minusA_in_gga(T154, T155))
minusA_in_gga(T162, 0) → minusA_out_gga(T162)
minusA_in_gga(s(T167), s(T168)) → U1_gga(minusA_in_gga(T167, T168))
U2_gga(minusA_out_gga(X255)) → minusB_out_gga(X255)
U1_gga(minusA_out_gga(X274)) → minusA_out_gga(X274)

(22) Obligation:

Q DP problem:
The TRS P consists of the following rules:

DIVC_IN_GGAA(T121, T135) → U4_GGAA(T135, minusB_in_gga(T121, T135))

The TRS R consists of the following rules:

minusB_in_gga(s(T154), s(T155)) → U2_gga(minusA_in_gga(T154, T155))
U2_gga(minusA_out_gga(X255)) → minusB_out_gga(X255)
minusA_in_gga(T162, 0) → minusA_out_gga(T162)
minusA_in_gga(s(T167), s(T168)) → U1_gga(minusA_in_gga(T167, T168))
U1_gga(minusA_out_gga(X274)) → minusA_out_gga(X274)

The set Q consists of the following terms:

minusB_in_gga(x0, x1)
U2_gga(x0)
minusA_in_gga(x0, x1)
U1_gga(x0)

We have to consider all (P,Q,R)-chains.

(23) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(0) Obligation:

(1) PrologToPrologProblemTransformerProof (SOUND transformation)

(2) Obligation:

(3) PrologToPiTRSProof (SOUND transformation)

(4) Obligation:

(5) DependencyPairsProof (EQUIVALENT transformation)

(6) Obligation:

(7) DependencyGraphProof (EQUIVALENT transformation)

(8) Complex Obligation (AND)

(9) Obligation:

(10) UsableRulesProof (EQUIVALENT transformation)

(11) Obligation:

(12) PiDPToQDPProof (SOUND transformation)

(13) Obligation:

(14) QDPSizeChangeProof (EQUIVALENT transformation)

(15) YES

(16) Obligation:

(17) UsableRulesProof (EQUIVALENT transformation)

(18) Obligation:

(19) PiDPToQDPProof (SOUND transformation)

(20) Obligation:

(21) QDPOrderProof (EQUIVALENT transformation)

(22) Obligation:

(23) DependencyGraphProof (EQUIVALENT transformation)

(24) TRUE