Runtime Complexity of the query pattern
div(g,g,a,a)
w.r.t. the given Prolog program could be shown to be BOUNDS(O(1), O(n^2)).

(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) PrologToCdtProblemTransformerProof (UPPER BOUND (ID) transformation)

Built complexity over-approximating cdt problems from derivation graph.

digraph dp_graph {
node [outthreshold=100, inthreshold=100];
2 [label="2: div(T1, T2, T3, T4)\n\nT1 is ground\nT2 is ground", fontsize=16, style=filled, fillcolor=lightyellow, color=red];
4 [label="4: 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];
5 [label="5: failure(a) | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 1 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT11 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
8 [label="8: 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\nX12 is free\nX13 is free\nX14 is free\ndiv(T1, T2, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
10 [label="10: failure(a), SCOPE: 2, CLAUSE: 6 | ?_2 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 1 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT11 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
12 [label="12: ?_2 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 1 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT11 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
14 [label="14: div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 1 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT11 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
20 [label="20: 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];
21 [label="21: div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 2 | div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT11 is ground\nX17 is free\ndiv(T11, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
22 [label="22: 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];
23 [label="23: ','(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];
24 [label="24: ','(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];
28 [label="28: ','(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];
29 [label="29: ','(!_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];
30 [label="30: 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];
33 [label="33: 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];
35 [label="35: ?_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];
36 [label="36: 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];
39 [label="39: div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
40 [label="40: div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
44 [label="44: ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25)))))\n\nX43 is free", fontsize=16, style=filled, fillcolor=lightyellow];
45 [label="45: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
47 [label="47: ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25))))), SCOPE: 7, CLAUSE: 8 | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25))))), SCOPE: 7, CLAUSE: 9\n\nX43 is free", fontsize=16, style=filled, fillcolor=lightyellow];
50 [label="50: ','(','(call(zero(0)), ','(!_7, failure(a))), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25))))) | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25))))), SCOPE: 7, CLAUSE: 9\n\nX43 is free", fontsize=16, style=filled, fillcolor=lightyellow];
52 [label="52: ','(zero(0), ','(','(!_7, failure(a)), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25)))))) | ?_8 | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25))))), SCOPE: 7, CLAUSE: 9\n\nX43 is free", fontsize=16, style=filled, fillcolor=lightyellow];
54 [label="54: ','(zero(0), ','(','(!_7, failure(a)), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25)))))), SCOPE: 9, CLAUSE: 7 | ?_9 | ?_8 | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25))))), SCOPE: 7, CLAUSE: 9\n\nX43 is free", fontsize=16, style=filled, fillcolor=lightyellow];
57 [label="57: ','(','(!_7, failure(a)), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25))))) | ?_9 | ?_8 | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25))))), SCOPE: 7, CLAUSE: 9\n\nX43 is free", fontsize=16, style=filled, fillcolor=lightyellow];
58 [label="58: ','(failure(a), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25)))))\n\nX43 is free", fontsize=16, style=filled, fillcolor=lightyellow];
59 [label="59: ','(failure(a), ','(no(zero(0)), ','(minus(0, 0, X43), ','(!_1, div(X43, 0, T24, T25))))), SCOPE: 10, CLAUSE: 6\n\nX43 is free", fontsize=16, style=filled, fillcolor=lightyellow];
60 [label="60: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
64 [label="64: ','(no(zero(0)), no(zero(0)))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
66 [label="66: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
68 [label="68: ','(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];
74 [label="74: ','(','(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];
75 [label="75: ','(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];
76 [label="76: ','(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];
77 [label="77: ','(','(!_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];
78 [label="78: ','(failure(a), no(zero(0)))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
79 [label="79: ','(failure(a), no(zero(0))), SCOPE: 14, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
80 [label="80: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
83 [label="83: div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 2\n\nT11 is ground\nX17 is free\ndiv(T11, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
84 [label="84: div(T11, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT11 is ground\nX17 is free\ndiv(T11, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
87 [label="87: ','(no(zero(T41)), ','(no(zero(0)), ','(minus(T41, 0, X83), ','(!_1, div(X83, 0, T44, T45)))))\n\nT41 is ground\nX17 is free\nX83 is free\ndiv(T41, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
89 [label="89: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
90 [label="90: ','(no(zero(T41)), ','(no(zero(0)), ','(minus(T41, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 15, CLAUSE: 8 | ','(no(zero(T41)), ','(no(zero(0)), ','(minus(T41, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 15, CLAUSE: 9\n\nT41 is ground\nX17 is free\nX83 is free\ndiv(T41, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
94 [label="94: ','(','(call(zero(T49)), ','(!_15, failure(a))), ','(no(zero(0)), ','(minus(T49, 0, X83), ','(!_1, div(X83, 0, T44, T45))))) | ','(no(zero(T49)), ','(no(zero(0)), ','(minus(T49, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 15, CLAUSE: 9\n\nT49 is ground\nX17 is free\nX83 is free\ndiv(T49, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
95 [label="95: ','(zero(T49), ','(','(!_15, failure(a)), ','(no(zero(0)), ','(minus(T49, 0, X83), ','(!_1, div(X83, 0, T44, T45)))))) | ?_16 | ','(no(zero(T49)), ','(no(zero(0)), ','(minus(T49, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 15, CLAUSE: 9\n\nT49 is ground\nX17 is free\nX83 is free\ndiv(T49, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
98 [label="98: ','(zero(T49), ','(','(!_15, failure(a)), ','(no(zero(0)), ','(minus(T49, 0, X83), ','(!_1, div(X83, 0, T44, T45)))))), SCOPE: 17, CLAUSE: 7 | ?_17 | ?_16 | ','(no(zero(T49)), ','(no(zero(0)), ','(minus(T49, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 15, CLAUSE: 9\n\nT49 is ground\nX17 is free\nX83 is free\ndiv(T49, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
100 [label="100: ','(','(!_15, failure(a)), ','(no(zero(0)), ','(minus(0, 0, X83), ','(!_1, div(X83, 0, T44, T45))))) | ?_17 | ?_16 | ','(no(zero(0)), ','(no(zero(0)), ','(minus(0, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 15, CLAUSE: 9\n\nX83 is free", fontsize=16, style=filled, fillcolor=lightyellow];
104 [label="104: ?_17 | ?_16 | ','(no(zero(T49)), ','(no(zero(0)), ','(minus(T49, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 15, CLAUSE: 9\n\nT49 is ground\nX17 is free\nX83 is free\ndiv(T49, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T49) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
106 [label="106: ','(failure(a), ','(no(zero(0)), ','(minus(0, 0, X83), ','(!_1, div(X83, 0, T44, T45)))))\n\nX83 is free", fontsize=16, style=filled, fillcolor=lightyellow];
107 [label="107: ','(failure(a), ','(no(zero(0)), ','(minus(0, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 18, CLAUSE: 6\n\nX83 is free", fontsize=16, style=filled, fillcolor=lightyellow];
108 [label="108: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
109 [label="109: ?_16 | ','(no(zero(T49)), ','(no(zero(0)), ','(minus(T49, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 15, CLAUSE: 9\n\nT49 is ground\nX17 is free\nX83 is free\ndiv(T49, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T49) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
110 [label="110: ','(no(zero(T49)), ','(no(zero(0)), ','(minus(T49, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 15, CLAUSE: 9\n\nT49 is ground\nX17 is free\nX83 is free\ndiv(T49, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T49) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
113 [label="113: ','(no(zero(0)), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45))))\n\nT53 is ground\nX17 is free\nX83 is free\ndiv(T53, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T53) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
115 [label="115: ','(no(zero(0)), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45)))), SCOPE: 19, CLAUSE: 8 | ','(no(zero(0)), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45)))), SCOPE: 19, CLAUSE: 9\n\nT53 is ground\nX17 is free\nX83 is free\ndiv(T53, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T53) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
118 [label="118: ','(','(call(zero(0)), ','(!_19, failure(a))), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45)))) | ','(no(zero(0)), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45)))), SCOPE: 19, CLAUSE: 9\n\nT53 is ground\nX17 is free\nX83 is free\ndiv(T53, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T53) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
120 [label="120: ','(zero(0), ','(','(!_19, failure(a)), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45))))) | ?_20 | ','(no(zero(0)), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45)))), SCOPE: 19, CLAUSE: 9\n\nT53 is ground\nX17 is free\nX83 is free\ndiv(T53, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T53) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
122 [label="122: ','(zero(0), ','(','(!_19, failure(a)), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45))))), SCOPE: 21, CLAUSE: 7 | ?_21 | ?_20 | ','(no(zero(0)), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45)))), SCOPE: 19, CLAUSE: 9\n\nT53 is ground\nX17 is free\nX83 is free\ndiv(T53, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T53) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
125 [label="125: ','(','(!_19, failure(a)), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45)))) | ?_21 | ?_20 | ','(no(zero(0)), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45)))), SCOPE: 19, CLAUSE: 9\n\nT53 is ground\nX17 is free\nX83 is free\ndiv(T53, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T53) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
126 [label="126: ','(failure(a), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45))))\n\nT53 is ground\nX17 is free\nX83 is free\ndiv(T53, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T53) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
127 [label="127: ','(failure(a), ','(minus(T53, 0, X83), ','(!_1, div(X83, 0, T44, T45)))), SCOPE: 22, CLAUSE: 6\n\nT53 is ground\nX17 is free\nX83 is free\ndiv(T53, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T53) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
128 [label="128: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
132 [label="132: ','(no(zero(T60)), no(zero(0)))\n\nT60 is ground\nX17 is free\ndiv(T60, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
133 [label="133: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
135 [label="135: ','(no(zero(T60)), no(zero(0))), SCOPE: 23, CLAUSE: 8 | ','(no(zero(T60)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT60 is ground\nX17 is free\ndiv(T60, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
139 [label="139: ','(','(call(zero(T64)), ','(!_23, failure(a))), no(zero(0))) | ','(no(zero(T64)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT64 is ground\nX17 is free\ndiv(T64, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
142 [label="142: ','(zero(T64), ','(','(!_23, failure(a)), no(zero(0)))) | ?_24 | ','(no(zero(T64)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT64 is ground\nX17 is free\ndiv(T64, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
145 [label="145: ','(zero(T64), ','(','(!_23, failure(a)), no(zero(0)))), SCOPE: 25, CLAUSE: 7 | ?_25 | ?_24 | ','(no(zero(T64)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT64 is ground\nX17 is free\ndiv(T64, 0, T3, T4) !=? div(0, X17, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
147 [label="147: ','(','(!_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];
149 [label="149: ?_25 | ?_24 | ','(no(zero(T64)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT64 is ground\nX17 is free\ndiv(T64, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T64) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
150 [label="150: ','(failure(a), no(zero(0)))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
151 [label="151: ','(failure(a), no(zero(0))), SCOPE: 26, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
152 [label="152: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
155 [label="155: ?_24 | ','(no(zero(T64)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT64 is ground\nX17 is free\ndiv(T64, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T64) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
156 [label="156: ','(no(zero(T64)), no(zero(0))), SCOPE: 23, CLAUSE: 9\n\nT64 is ground\nX17 is free\ndiv(T64, 0, T3, T4) !=? div(0, X17, 0, 0)\nzero(T64) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
162 [label="162: no(zero(0))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
164 [label="164: no(zero(0)), SCOPE: 27, CLAUSE: 8 | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
166 [label="166: ','(call(zero(0)), ','(!_27, failure(a))) | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
167 [label="167: ','(zero(0), ','(!_27, failure(a))) | ?_28 | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
168 [label="168: ','(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];
170 [label="170: ','(!_27, failure(a)) | ?_29 | ?_28 | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
171 [label="171: failure(a)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
172 [label="172: failure(a), SCOPE: 30, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
173 [label="173: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
176 [label="176: no(zero(T70)) | div(0, T70, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T70, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT70 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T70, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
178 [label="178: 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\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T1, T2, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T1, T2, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
180 [label="180: no(zero(T70)), SCOPE: 31, CLAUSE: 8 | no(zero(T70)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T70, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T70, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT70 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T70, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
184 [label="184: ','(call(zero(T73)), ','(!_31, failure(a))) | no(zero(T73)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT73 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T73, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
186 [label="186: ','(zero(T73), ','(!_31, failure(a))) | ?_32 | no(zero(T73)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT73 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T73, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
187 [label="187: ','(zero(T73), ','(!_31, failure(a))), SCOPE: 33, CLAUSE: 7 | ?_33 | ?_32 | no(zero(T73)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT73 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T73, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
189 [label="189: ?_33 | ?_32 | no(zero(T73)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT73 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T73, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
191 [label="191: ?_32 | no(zero(T73)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT73 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T73, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
192 [label="192: no(zero(T73)), SCOPE: 31, CLAUSE: 9 | ?_31 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T73, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT73 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T73, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
194 [label="194: true | ?_31 | div(0, T76, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T76, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT76 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T76, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
195 [label="195: ?_31 | div(0, T76, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T76, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT76 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T76, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
196 [label="196: div(0, T76, T3, T4), SCOPE: 1, CLAUSE: 2 | div(0, T76, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT76 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T76, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
199 [label="199: div(0, T76, T3, T4), SCOPE: 1, CLAUSE: 2\n\nT76 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T76, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
200 [label="200: div(0, T76, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT76 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T76, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
203 [label="203: ','(no(zero(0)), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93)))))\n\nT89 is ground\nX12 is free\nX13 is free\nX14 is free\nX147 is free\ndiv(0, T89, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
205 [label="205: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
207 [label="207: ','(no(zero(0)), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93))))), SCOPE: 34, CLAUSE: 8 | ','(no(zero(0)), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93))))), SCOPE: 34, CLAUSE: 9\n\nT89 is ground\nX12 is free\nX13 is free\nX14 is free\nX147 is free\ndiv(0, T89, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
210 [label="210: ','(','(call(zero(0)), ','(!_34, failure(a))), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93))))) | ','(no(zero(0)), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93))))), SCOPE: 34, CLAUSE: 9\n\nT89 is ground\nX12 is free\nX13 is free\nX14 is free\nX147 is free\ndiv(0, T89, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
211 [label="211: ','(zero(0), ','(','(!_34, failure(a)), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93)))))) | ?_35 | ','(no(zero(0)), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93))))), SCOPE: 34, CLAUSE: 9\n\nT89 is ground\nX12 is free\nX13 is free\nX14 is free\nX147 is free\ndiv(0, T89, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
214 [label="214: ','(zero(0), ','(','(!_34, failure(a)), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93)))))), SCOPE: 36, CLAUSE: 7 | ?_36 | ?_35 | ','(no(zero(0)), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93))))), SCOPE: 34, CLAUSE: 9\n\nT89 is ground\nX12 is free\nX13 is free\nX14 is free\nX147 is free\ndiv(0, T89, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
215 [label="215: ','(','(!_34, failure(a)), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93))))) | ?_36 | ?_35 | ','(no(zero(0)), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93))))), SCOPE: 34, CLAUSE: 9\n\nT89 is ground\nX12 is free\nX13 is free\nX14 is free\nX147 is free\ndiv(0, T89, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
218 [label="218: ','(failure(a), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93)))))\n\nT89 is ground\nX12 is free\nX13 is free\nX14 is free\nX147 is free\ndiv(0, T89, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
219 [label="219: ','(failure(a), ','(no(zero(T89)), ','(minus(0, T89, X147), ','(!_1, div(X147, T89, T92, T93))))), SCOPE: 37, CLAUSE: 6\n\nT89 is ground\nX12 is free\nX13 is free\nX14 is free\nX147 is free\ndiv(0, T89, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
220 [label="220: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
224 [label="224: ','(no(zero(0)), no(zero(T98)))\n\nT98 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T98, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
225 [label="225: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
226 [label="226: ','(no(zero(0)), no(zero(T98))), SCOPE: 38, CLAUSE: 8 | ','(no(zero(0)), no(zero(T98))), SCOPE: 38, CLAUSE: 9\n\nT98 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T98, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
229 [label="229: ','(','(call(zero(0)), ','(!_38, failure(a))), no(zero(T98))) | ','(no(zero(0)), no(zero(T98))), SCOPE: 38, CLAUSE: 9\n\nT98 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T98, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
231 [label="231: ','(zero(0), ','(','(!_38, failure(a)), no(zero(T98)))) | ?_39 | ','(no(zero(0)), no(zero(T98))), SCOPE: 38, CLAUSE: 9\n\nT98 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T98, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
233 [label="233: ','(zero(0), ','(','(!_38, failure(a)), no(zero(T98)))), SCOPE: 40, CLAUSE: 7 | ?_40 | ?_39 | ','(no(zero(0)), no(zero(T98))), SCOPE: 38, CLAUSE: 9\n\nT98 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T98, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
236 [label="236: ','(','(!_38, failure(a)), no(zero(T98))) | ?_40 | ?_39 | ','(no(zero(0)), no(zero(T98))), SCOPE: 38, CLAUSE: 9\n\nT98 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T98, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
238 [label="238: ','(failure(a), no(zero(T98)))\n\nT98 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T98, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
239 [label="239: ','(failure(a), no(zero(T98))), SCOPE: 41, CLAUSE: 6\n\nT98 is ground\nX12 is free\nX13 is free\nX14 is free\ndiv(0, T98, T3, T4) !=? div(X12, 0, X13, X14)", fontsize=16, style=filled, fillcolor=lightyellow];
240 [label="240: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
241 [label="241: div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 2\n\nT1 is ground\nT2 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T1, T2, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T1, T2, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
243 [label="243: div(T1, T2, T3, T4), SCOPE: 1, CLAUSE: 3\n\nT1 is ground\nT2 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T1, T2, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T1, T2, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
246 [label="246: ','(no(zero(T116)), ','(no(zero(T117)), ','(minus(T116, T117, X195), ','(!_1, div(X195, T117, T120, T121)))))\n\nT116 is ground\nT117 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T116, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T116, T117, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
248 [label="248: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
252 [label="252: ','(no(zero(T116)), ','(no(zero(T117)), ','(minus(T116, T117, X195), ','(!_1, div(X195, T117, T120, T121))))), SCOPE: 42, CLAUSE: 8 | ','(no(zero(T116)), ','(no(zero(T117)), ','(minus(T116, T117, X195), ','(!_1, div(X195, T117, T120, T121))))), SCOPE: 42, CLAUSE: 9\n\nT116 is ground\nT117 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T116, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T116, T117, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
255 [label="255: ','(','(call(zero(T128)), ','(!_42, failure(a))), ','(no(zero(T117)), ','(minus(T128, T117, X195), ','(!_1, div(X195, T117, T120, T121))))) | ','(no(zero(T128)), ','(no(zero(T117)), ','(minus(T128, T117, X195), ','(!_1, div(X195, T117, T120, T121))))), SCOPE: 42, CLAUSE: 9\n\nT117 is ground\nT128 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T128, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T128, T117, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
257 [label="257: ','(zero(T128), ','(','(!_42, failure(a)), ','(no(zero(T117)), ','(minus(T128, T117, X195), ','(!_1, div(X195, T117, T120, T121)))))) | ?_43 | ','(no(zero(T128)), ','(no(zero(T117)), ','(minus(T128, T117, X195), ','(!_1, div(X195, T117, T120, T121))))), SCOPE: 42, CLAUSE: 9\n\nT117 is ground\nT128 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T128, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T128, T117, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
259 [label="259: ','(zero(T128), ','(','(!_42, failure(a)), ','(no(zero(T117)), ','(minus(T128, T117, X195), ','(!_1, div(X195, T117, T120, T121)))))), SCOPE: 44, CLAUSE: 7 | ?_44 | ?_43 | ','(no(zero(T128)), ','(no(zero(T117)), ','(minus(T128, T117, X195), ','(!_1, div(X195, T117, T120, T121))))), SCOPE: 42, CLAUSE: 9\n\nT117 is ground\nT128 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T128, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T128, T117, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
261 [label="261: ','(','(!_42, failure(a)), ','(no(zero(T117)), ','(minus(0, T117, X195), ','(!_1, div(X195, T117, T120, T121))))) | ?_44 | ?_43 | ','(no(zero(0)), ','(no(zero(T117)), ','(minus(0, T117, X195), ','(!_1, div(X195, T117, T120, T121))))), SCOPE: 42, CLAUSE: 9\n\nT117 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(0, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(0, T117, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
262 [label="262: ?_44 | ?_43 | ','(no(zero(T128)), ','(no(zero(T117)), ','(minus(T128, T117, X195), ','(!_1, div(X195, T117, T120, T121))))), SCOPE: 42, CLAUSE: 9\n\nT117 is ground\nT128 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T128, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T128, T117, T3, T4) !=? div(0, X118, 0, 0)\nzero(T128) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
263 [label="263: ','(failure(a), ','(no(zero(T117)), ','(minus(0, T117, X195), ','(!_1, div(X195, T117, T120, T121)))))\n\nT117 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(0, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(0, T117, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
266 [label="266: ','(failure(a), ','(no(zero(T117)), ','(minus(0, T117, X195), ','(!_1, div(X195, T117, T120, T121))))), SCOPE: 45, CLAUSE: 6\n\nT117 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(0, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(0, T117, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
267 [label="267: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
269 [label="269: ?_43 | ','(no(zero(T128)), ','(no(zero(T117)), ','(minus(T128, T117, X195), ','(!_1, div(X195, T117, T120, T121))))), SCOPE: 42, CLAUSE: 9\n\nT117 is ground\nT128 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T128, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T128, T117, T3, T4) !=? div(0, X118, 0, 0)\nzero(T128) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
270 [label="270: ','(no(zero(T128)), ','(no(zero(T117)), ','(minus(T128, T117, X195), ','(!_1, div(X195, T117, T120, T121))))), SCOPE: 42, CLAUSE: 9\n\nT117 is ground\nT128 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T128, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T128, T117, T3, T4) !=? div(0, X118, 0, 0)\nzero(T128) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
278 [label="278: ','(no(zero(T117)), ','(minus(T135, T117, X195), ','(!_1, div(X195, T117, T120, T121))))\n\nT117 is ground\nT135 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T117, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
281 [label="281: ','(no(zero(T117)), ','(minus(T135, T117, X195), ','(!_1, div(X195, T117, T120, T121)))), SCOPE: 46, CLAUSE: 8 | ','(no(zero(T117)), ','(minus(T135, T117, X195), ','(!_1, div(X195, T117, T120, T121)))), SCOPE: 46, CLAUSE: 9\n\nT117 is ground\nT135 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T117, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T117, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
283 [label="283: ','(','(call(zero(T142)), ','(!_46, failure(a))), ','(minus(T135, T142, X195), ','(!_1, div(X195, T142, T120, T121)))) | ','(no(zero(T142)), ','(minus(T135, T142, X195), ','(!_1, div(X195, T142, T120, T121)))), SCOPE: 46, CLAUSE: 9\n\nT135 is ground\nT142 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T142, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T142, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
284 [label="284: ','(zero(T142), ','(','(!_46, failure(a)), ','(minus(T135, T142, X195), ','(!_1, div(X195, T142, T120, T121))))) | ?_47 | ','(no(zero(T142)), ','(minus(T135, T142, X195), ','(!_1, div(X195, T142, T120, T121)))), SCOPE: 46, CLAUSE: 9\n\nT135 is ground\nT142 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T142, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T142, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
285 [label="285: ','(zero(T142), ','(','(!_46, failure(a)), ','(minus(T135, T142, X195), ','(!_1, div(X195, T142, T120, T121))))), SCOPE: 48, CLAUSE: 7 | ?_48 | ?_47 | ','(no(zero(T142)), ','(minus(T135, T142, X195), ','(!_1, div(X195, T142, T120, T121)))), SCOPE: 46, CLAUSE: 9\n\nT135 is ground\nT142 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T142, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T142, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
287 [label="287: ?_48 | ?_47 | ','(no(zero(T142)), ','(minus(T135, T142, X195), ','(!_1, div(X195, T142, T120, T121)))), SCOPE: 46, CLAUSE: 9\n\nT135 is ground\nT142 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T142, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T142, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
288 [label="288: ?_47 | ','(no(zero(T142)), ','(minus(T135, T142, X195), ','(!_1, div(X195, T142, T120, T121)))), SCOPE: 46, CLAUSE: 9\n\nT135 is ground\nT142 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T142, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T142, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
290 [label="290: ','(no(zero(T142)), ','(minus(T135, T142, X195), ','(!_1, div(X195, T142, T120, T121)))), SCOPE: 46, CLAUSE: 9\n\nT135 is ground\nT142 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T142, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T142, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
294 [label="294: ','(minus(T135, T149, X195), ','(!_1, div(X195, T149, T120, T121)))\n\nT135 is ground\nT149 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T149, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T149, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
300 [label="300: minus(T135, T149, X195)\n\nT135 is ground\nT149 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T149, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T149, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
301 [label="301: ','(!_1, div(T154, T149, T120, T121))\n\nT135 is ground\nT149 is ground\nT154 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T135, T149, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T149, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
304 [label="304: minus(T135, T149, X195), SCOPE: 49, CLAUSE: 4 | minus(T135, T149, X195), SCOPE: 49, CLAUSE: 5\n\nT135 is ground\nT149 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T149, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T149, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
306 [label="306: minus(T135, T149, X195), SCOPE: 49, CLAUSE: 5\n\nT135 is ground\nT149 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\nX195 is free\ndiv(T135, T149, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T149, T3, T4) !=? div(0, X118, 0, 0)\nzero(T135) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
308 [label="308: minus(T164, T165, X261)\n\nT164 is ground\nT165 is ground\nX261 is free", fontsize=16, style=filled, fillcolor=lightyellow];
310 [label="310: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
312 [label="312: minus(T164, T165, X261), SCOPE: 50, CLAUSE: 4 | minus(T164, T165, X261), SCOPE: 50, CLAUSE: 5\n\nT164 is ground\nT165 is ground\nX261 is free", fontsize=16, style=filled, fillcolor=lightyellow];
314 [label="314: true | minus(T170, 0, X261), SCOPE: 50, CLAUSE: 5\n\nT170 is ground\nX261 is free", fontsize=16, style=filled, fillcolor=lightyellow];
316 [label="316: minus(T164, T165, X261), SCOPE: 50, CLAUSE: 5\n\nT164 is ground\nT165 is ground\nX261 is free\nX266 is free\nminus(T164, T165, X261) !=? minus(X266, 0, X266)", fontsize=16, style=filled, fillcolor=lightyellow];
317 [label="317: minus(T170, 0, X261), SCOPE: 50, CLAUSE: 5\n\nT170 is ground\nX261 is free", fontsize=16, style=filled, fillcolor=lightyellow];
320 [label="320: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
322 [label="322: minus(T176, T177, X281)\n\nT176 is ground\nT177 is ground\nX281 is free", fontsize=16, style=filled, fillcolor=lightyellow];
324 [label="324: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
327 [label="327: div(T154, T149, T120, T121)\n\nT135 is ground\nT149 is ground\nT154 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T135, T149, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T135, T149, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
330 [label="330: ','(no(zero(T190)), no(zero(T191)))\n\nT190 is ground\nT191 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T190, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T190, T191, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
331 [label="331: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
333 [label="333: ','(no(zero(T190)), no(zero(T191))), SCOPE: 51, CLAUSE: 8 | ','(no(zero(T190)), no(zero(T191))), SCOPE: 51, CLAUSE: 9\n\nT190 is ground\nT191 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T190, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T190, T191, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
336 [label="336: ','(','(call(zero(T195)), ','(!_51, failure(a))), no(zero(T191))) | ','(no(zero(T195)), no(zero(T191))), SCOPE: 51, CLAUSE: 9\n\nT191 is ground\nT195 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T195, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T195, T191, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
337 [label="337: ','(zero(T195), ','(','(!_51, failure(a)), no(zero(T191)))) | ?_52 | ','(no(zero(T195)), no(zero(T191))), SCOPE: 51, CLAUSE: 9\n\nT191 is ground\nT195 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T195, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T195, T191, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
338 [label="338: ','(zero(T195), ','(','(!_51, failure(a)), no(zero(T191)))), SCOPE: 53, CLAUSE: 7 | ?_53 | ?_52 | ','(no(zero(T195)), no(zero(T191))), SCOPE: 51, CLAUSE: 9\n\nT191 is ground\nT195 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T195, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T195, T191, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
341 [label="341: ','(','(!_51, failure(a)), no(zero(T191))) | ?_53 | ?_52 | ','(no(zero(0)), no(zero(T191))), SCOPE: 51, CLAUSE: 9\n\nT191 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(0, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(0, T191, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
343 [label="343: ?_53 | ?_52 | ','(no(zero(T195)), no(zero(T191))), SCOPE: 51, CLAUSE: 9\n\nT191 is ground\nT195 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T195, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T195, T191, T3, T4) !=? div(0, X118, 0, 0)\nzero(T195) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
345 [label="345: ','(failure(a), no(zero(T191)))\n\nT191 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(0, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(0, T191, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
347 [label="347: ','(failure(a), no(zero(T191))), SCOPE: 54, CLAUSE: 6\n\nT191 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(0, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(0, T191, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
348 [label="348: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
350 [label="350: ?_52 | ','(no(zero(T195)), no(zero(T191))), SCOPE: 51, CLAUSE: 9\n\nT191 is ground\nT195 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T195, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T195, T191, T3, T4) !=? div(0, X118, 0, 0)\nzero(T195) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
351 [label="351: ','(no(zero(T195)), no(zero(T191))), SCOPE: 51, CLAUSE: 9\n\nT191 is ground\nT195 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T195, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T195, T191, T3, T4) !=? div(0, X118, 0, 0)\nzero(T195) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
354 [label="354: no(zero(T191))\n\nT191 is ground\nT198 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T198, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T198, T191, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
355 [label="355: no(zero(T191)), SCOPE: 55, CLAUSE: 8 | no(zero(T191)), SCOPE: 55, CLAUSE: 9\n\nT191 is ground\nT198 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T198, T191, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T198, T191, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
358 [label="358: ','(call(zero(T201)), ','(!_55, failure(a))) | no(zero(T201)), SCOPE: 55, CLAUSE: 9\n\nT198 is ground\nT201 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T198, T201, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T198, T201, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
360 [label="360: ','(zero(T201), ','(!_55, failure(a))) | ?_56 | no(zero(T201)), SCOPE: 55, CLAUSE: 9\n\nT198 is ground\nT201 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T198, T201, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T198, T201, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
362 [label="362: ','(zero(T201), ','(!_55, failure(a))), SCOPE: 57, CLAUSE: 7 | ?_57 | ?_56 | no(zero(T201)), SCOPE: 55, CLAUSE: 9\n\nT198 is ground\nT201 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T198, T201, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T198, T201, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
364 [label="364: ?_57 | ?_56 | no(zero(T201)), SCOPE: 55, CLAUSE: 9\n\nT198 is ground\nT201 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T198, T201, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T198, T201, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
366 [label="366: ?_56 | no(zero(T201)), SCOPE: 55, CLAUSE: 9\n\nT198 is ground\nT201 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T198, T201, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T198, T201, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
367 [label="367: no(zero(T201)), SCOPE: 55, CLAUSE: 9\n\nT198 is ground\nT201 is ground\nX12 is free\nX13 is free\nX14 is free\nX118 is free\ndiv(T198, T201, T3, T4) !=? div(X12, 0, X13, X14)\ndiv(T198, T201, T3, T4) !=? div(0, X118, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
370 [label="370: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
371 [label="371: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
372 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2 -> 372 [arrowhead = none ];
372 -> 4;

373 [label="EVAL with clause\ndiv(X12, 0, X13, X14) :- failure(a).\nand substitutionT1 -> T11,\nX12 -> T11,\nT2 -> 0,\nT3 -> T12,\nX13 -> T12,\nT4 -> T13,\nX14 -> T13", fontsize=14, style = filled, fillcolor = lightblue];
4 -> 373 [arrowhead = none ];
373 -> 5;

374 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4 -> 374 [arrowhead = none ];
374 -> 8;

375 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
5 -> 375 [arrowhead = none ];
375 -> 10;

376 [label="EVAL with clause\ndiv(0, X118, 0, 0) :- no(zero(X118)).\nand substitutionT1 -> 0,\nT2 -> T70,\nX118 -> T70,\nT3 -> 0,\nT4 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
8 -> 376 [arrowhead = none ];
376 -> 176;

377 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
8 -> 377 [arrowhead = none ];
377 -> 178;

378 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
10 -> 378 [arrowhead = none ];
378 -> 12;

379 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
12 -> 379 [arrowhead = none ];
379 -> 14;

380 [label="EVAL with clause\ndiv(0, X17, 0, 0) :- no(zero(X17)).\nand substitutionT11 -> 0,\nX17 -> 0,\nT3 -> 0,\nT4 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
14 -> 380 [arrowhead = none ];
380 -> 20;

381 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
14 -> 381 [arrowhead = none ];
381 -> 21;

382 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
20 -> 382 [arrowhead = none ];
382 -> 22;

383 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
21 -> 383 [arrowhead = none ];
383 -> 83;

384 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
21 -> 384 [arrowhead = none ];
384 -> 84;

385 [label="ONLY EVAL with clause\nno(X20) :- ','(call(X20), ','(!_3, failure(a))).\nand substitutionX20 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
22 -> 385 [arrowhead = none ];
385 -> 23;

386 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
23 -> 386 [arrowhead = none ];
386 -> 24;

387 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
24 -> 387 [arrowhead = none ];
387 -> 28;

388 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
28 -> 388 [arrowhead = none ];
388 -> 29;

389 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
29 -> 389 [arrowhead = none ];
389 -> 30;

390 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
30 -> 390 [arrowhead = none ];
390 -> 33;

391 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
33 -> 391 [arrowhead = none ];
391 -> 35;

392 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
35 -> 392 [arrowhead = none ];
392 -> 36;

393 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
36 -> 393 [arrowhead = none ];
393 -> 39;

394 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
36 -> 394 [arrowhead = none ];
394 -> 40;

395 [label="EVAL with clause\ndiv(X39, X40, s(X41), X42) :- ','(no(zero(X39)), ','(no(zero(X40)), ','(minus(X39, X40, X43), ','(!_1, div(X43, X40, X41, X42))))).\nand substitutionX39 -> 0,\nX40 -> 0,\nX41 -> T24,\nT3 -> s(T24),\nT4 -> T25,\nX42 -> T25,\nT22 -> T24,\nT23 -> T25", fontsize=14, style = filled, fillcolor = lightblue];
39 -> 395 [arrowhead = none ];
395 -> 44;

396 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
39 -> 396 [arrowhead = none ];
396 -> 45;

397 [label="EVAL with clause\ndiv(X55, X56, X57, X55) :- ','(no(zero(X55)), no(zero(X56))).\nand substitutionX55 -> 0,\nX56 -> 0,\nT3 -> T28,\nX57 -> T28,\nT4 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
40 -> 397 [arrowhead = none ];
397 -> 64;

398 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
40 -> 398 [arrowhead = none ];
398 -> 66;

399 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
44 -> 399 [arrowhead = none ];
399 -> 47;

400 [label="ONLY EVAL with clause\nno(X47) :- ','(call(X47), ','(!_7, failure(a))).\nand substitutionX47 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
47 -> 400 [arrowhead = none ];
400 -> 50;

401 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
50 -> 401 [arrowhead = none ];
401 -> 52;

402 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
52 -> 402 [arrowhead = none ];
402 -> 54;

403 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
54 -> 403 [arrowhead = none ];
403 -> 57;

404 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
57 -> 404 [arrowhead = none ];
404 -> 58;

405 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
58 -> 405 [arrowhead = none ];
405 -> 59;

406 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
59 -> 406 [arrowhead = none ];
406 -> 60;

407 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
64 -> 407 [arrowhead = none ];
407 -> 68;

408 [label="ONLY EVAL with clause\nno(X60) :- ','(call(X60), ','(!_11, failure(a))).\nand substitutionX60 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
68 -> 408 [arrowhead = none ];
408 -> 74;

409 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
74 -> 409 [arrowhead = none ];
409 -> 75;

410 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
75 -> 410 [arrowhead = none ];
410 -> 76;

411 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
76 -> 411 [arrowhead = none ];
411 -> 77;

412 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
77 -> 412 [arrowhead = none ];
412 -> 78;

413 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
78 -> 413 [arrowhead = none ];
413 -> 79;

414 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
79 -> 414 [arrowhead = none ];
414 -> 80;

415 [label="EVAL with clause\ndiv(X79, X80, s(X81), X82) :- ','(no(zero(X79)), ','(no(zero(X80)), ','(minus(X79, X80, X83), ','(!_1, div(X83, X80, X81, X82))))).\nand substitutionT11 -> T41,\nX79 -> T41,\nX80 -> 0,\nX81 -> T44,\nT3 -> s(T44),\nT4 -> T45,\nX82 -> T45,\nT42 -> T44,\nT43 -> T45", fontsize=14, style = filled, fillcolor = lightblue];
83 -> 415 [arrowhead = none ];
415 -> 87;

416 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
83 -> 416 [arrowhead = none ];
416 -> 89;

417 [label="EVAL with clause\ndiv(X104, X105, X106, X104) :- ','(no(zero(X104)), no(zero(X105))).\nand substitutionT11 -> T60,\nX104 -> T60,\nX105 -> 0,\nT3 -> T61,\nX106 -> T61,\nT4 -> T60", fontsize=14, style = filled, fillcolor = lightblue];
84 -> 417 [arrowhead = none ];
417 -> 132;

418 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
84 -> 418 [arrowhead = none ];
418 -> 133;

419 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
87 -> 419 [arrowhead = none ];
419 -> 90;

420 [label="ONLY EVAL with clause\nno(X87) :- ','(call(X87), ','(!_15, failure(a))).\nand substitutionT41 -> T49,\nX87 -> zero(T49)", fontsize=14, style = filled, fillcolor = lightblue];
90 -> 420 [arrowhead = none ];
420 -> 94;

421 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
94 -> 421 [arrowhead = none ];
421 -> 95;

422 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
95 -> 422 [arrowhead = none ];
422 -> 98;

423 [label="EVAL with clause\nzero(0).\nand substitutionT49 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
98 -> 423 [arrowhead = none ];
423 -> 100;

424 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
98 -> 424 [arrowhead = none ];
424 -> 104;

425 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
100 -> 425 [arrowhead = none ];
425 -> 106;

426 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
104 -> 426 [arrowhead = none ];
426 -> 109;

427 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
106 -> 427 [arrowhead = none ];
427 -> 107;

428 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
107 -> 428 [arrowhead = none ];
428 -> 108;

429 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
109 -> 429 [arrowhead = none ];
429 -> 110;

430 [label="ONLY EVAL with clause\nno(X92).\nand substitutionT49 -> T53,\nX92 -> zero(T53)", fontsize=14, style = filled, fillcolor = lightblue];
110 -> 430 [arrowhead = none ];
430 -> 113;

431 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
113 -> 431 [arrowhead = none ];
431 -> 115;

432 [label="ONLY EVAL with clause\nno(X96) :- ','(call(X96), ','(!_19, failure(a))).\nand substitutionX96 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
115 -> 432 [arrowhead = none ];
432 -> 118;

433 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
118 -> 433 [arrowhead = none ];
433 -> 120;

434 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
120 -> 434 [arrowhead = none ];
434 -> 122;

435 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
122 -> 435 [arrowhead = none ];
435 -> 125;

436 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
125 -> 436 [arrowhead = none ];
436 -> 126;

437 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
126 -> 437 [arrowhead = none ];
437 -> 127;

438 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
127 -> 438 [arrowhead = none ];
438 -> 128;

439 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
132 -> 439 [arrowhead = none ];
439 -> 135;

440 [label="ONLY EVAL with clause\nno(X109) :- ','(call(X109), ','(!_23, failure(a))).\nand substitutionT60 -> T64,\nX109 -> zero(T64)", fontsize=14, style = filled, fillcolor = lightblue];
135 -> 440 [arrowhead = none ];
440 -> 139;

441 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
139 -> 441 [arrowhead = none ];
441 -> 142;

442 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
142 -> 442 [arrowhead = none ];
442 -> 145;

443 [label="EVAL with clause\nzero(0).\nand substitutionT64 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
145 -> 443 [arrowhead = none ];
443 -> 147;

444 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
145 -> 444 [arrowhead = none ];
444 -> 149;

445 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
147 -> 445 [arrowhead = none ];
445 -> 150;

446 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
149 -> 446 [arrowhead = none ];
446 -> 155;

447 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
150 -> 447 [arrowhead = none ];
447 -> 151;

448 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
151 -> 448 [arrowhead = none ];
448 -> 152;

449 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
155 -> 449 [arrowhead = none ];
449 -> 156;

450 [label="ONLY EVAL with clause\nno(X112).\nand substitutionT64 -> T67,\nX112 -> zero(T67)", fontsize=14, style = filled, fillcolor = lightblue];
156 -> 450 [arrowhead = none ];
450 -> 162;

451 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
162 -> 451 [arrowhead = none ];
451 -> 164;

452 [label="ONLY EVAL with clause\nno(X115) :- ','(call(X115), ','(!_27, failure(a))).\nand substitutionX115 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
164 -> 452 [arrowhead = none ];
452 -> 166;

453 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
166 -> 453 [arrowhead = none ];
453 -> 167;

454 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
167 -> 454 [arrowhead = none ];
454 -> 168;

455 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
168 -> 455 [arrowhead = none ];
455 -> 170;

456 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
170 -> 456 [arrowhead = none ];
456 -> 171;

457 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
171 -> 457 [arrowhead = none ];
457 -> 172;

458 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
172 -> 458 [arrowhead = none ];
458 -> 173;

459 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
176 -> 459 [arrowhead = none ];
459 -> 180;

460 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
178 -> 460 [arrowhead = none ];
460 -> 241;

461 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
178 -> 461 [arrowhead = none ];
461 -> 243;

462 [label="ONLY EVAL with clause\nno(X121) :- ','(call(X121), ','(!_31, failure(a))).\nand substitutionT70 -> T73,\nX121 -> zero(T73)", fontsize=14, style = filled, fillcolor = lightblue];
180 -> 462 [arrowhead = none ];
462 -> 184;

463 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
184 -> 463 [arrowhead = none ];
463 -> 186;

464 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
186 -> 464 [arrowhead = none ];
464 -> 187;

465 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(0, T73, T3, T4), div(X12, 0, X13, X14))", fontsize=14, style = filled, fillcolor = lightgreen];
187 -> 465 [arrowhead = none ];
465 -> 189;

466 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
189 -> 466 [arrowhead = none ];
466 -> 191;

467 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
191 -> 467 [arrowhead = none ];
467 -> 192;

468 [label="ONLY EVAL with clause\nno(X124).\nand substitutionT73 -> T76,\nX124 -> zero(T76)", fontsize=14, style = filled, fillcolor = lightblue];
192 -> 468 [arrowhead = none ];
468 -> 194;

469 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
194 -> 469 [arrowhead = none ];
469 -> 195;

470 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
195 -> 470 [arrowhead = none ];
470 -> 196;

471 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
196 -> 471 [arrowhead = none ];
471 -> 199;

472 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
196 -> 472 [arrowhead = none ];
472 -> 200;

473 [label="EVAL with clause\ndiv(X143, X144, s(X145), X146) :- ','(no(zero(X143)), ','(no(zero(X144)), ','(minus(X143, X144, X147), ','(!_1, div(X147, X144, X145, X146))))).\nand substitutionX143 -> 0,\nT76 -> T89,\nX144 -> T89,\nX145 -> T92,\nT3 -> s(T92),\nT4 -> T93,\nX146 -> T93,\nT90 -> T92,\nT91 -> T93", fontsize=14, style = filled, fillcolor = lightblue];
199 -> 473 [arrowhead = none ];
473 -> 203;

474 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
199 -> 474 [arrowhead = none ];
474 -> 205;

475 [label="EVAL with clause\ndiv(X167, X168, X169, X167) :- ','(no(zero(X167)), no(zero(X168))).\nand substitutionX167 -> 0,\nT76 -> T98,\nX168 -> T98,\nT3 -> T99,\nX169 -> T99,\nT4 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
200 -> 475 [arrowhead = none ];
475 -> 224;

476 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
200 -> 476 [arrowhead = none ];
476 -> 225;

477 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
203 -> 477 [arrowhead = none ];
477 -> 207;

478 [label="ONLY EVAL with clause\nno(X155) :- ','(call(X155), ','(!_34, failure(a))).\nand substitutionX155 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
207 -> 478 [arrowhead = none ];
478 -> 210;

479 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
210 -> 479 [arrowhead = none ];
479 -> 211;

480 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
211 -> 480 [arrowhead = none ];
480 -> 214;

481 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
214 -> 481 [arrowhead = none ];
481 -> 215;

482 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
215 -> 482 [arrowhead = none ];
482 -> 218;

483 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
218 -> 483 [arrowhead = none ];
483 -> 219;

484 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
219 -> 484 [arrowhead = none ];
484 -> 220;

485 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
224 -> 485 [arrowhead = none ];
485 -> 226;

486 [label="ONLY EVAL with clause\nno(X172) :- ','(call(X172), ','(!_38, failure(a))).\nand substitutionX172 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
226 -> 486 [arrowhead = none ];
486 -> 229;

487 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
229 -> 487 [arrowhead = none ];
487 -> 231;

488 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
231 -> 488 [arrowhead = none ];
488 -> 233;

489 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
233 -> 489 [arrowhead = none ];
489 -> 236;

490 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
236 -> 490 [arrowhead = none ];
490 -> 238;

491 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
238 -> 491 [arrowhead = none ];
491 -> 239;

492 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
239 -> 492 [arrowhead = none ];
492 -> 240;

493 [label="EVAL with clause\ndiv(X191, X192, s(X193), X194) :- ','(no(zero(X191)), ','(no(zero(X192)), ','(minus(X191, X192, X195), ','(!_1, div(X195, X192, X193, X194))))).\nand substitutionT1 -> T116,\nX191 -> T116,\nT2 -> T117,\nX192 -> T117,\nX193 -> T120,\nT3 -> s(T120),\nT4 -> T121,\nX194 -> T121,\nT118 -> T120,\nT119 -> T121", fontsize=14, style = filled, fillcolor = lightblue];
241 -> 493 [arrowhead = none ];
493 -> 246;

494 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
241 -> 494 [arrowhead = none ];
494 -> 248;

495 [label="EVAL with clause\ndiv(X294, X295, X296, X294) :- ','(no(zero(X294)), no(zero(X295))).\nand substitutionT1 -> T190,\nX294 -> T190,\nT2 -> T191,\nX295 -> T191,\nT3 -> T192,\nX296 -> T192,\nT4 -> T190", fontsize=14, style = filled, fillcolor = lightblue];
243 -> 495 [arrowhead = none ];
495 -> 330;

496 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
243 -> 496 [arrowhead = none ];
496 -> 331;

497 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
246 -> 497 [arrowhead = none ];
497 -> 252;

498 [label="ONLY EVAL with clause\nno(X204) :- ','(call(X204), ','(!_42, failure(a))).\nand substitutionT116 -> T128,\nX204 -> zero(T128)", fontsize=14, style = filled, fillcolor = lightblue];
252 -> 498 [arrowhead = none ];
498 -> 255;

499 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
255 -> 499 [arrowhead = none ];
499 -> 257;

500 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
257 -> 500 [arrowhead = none ];
500 -> 259;

501 [label="EVAL with clause\nzero(0).\nand substitutionT128 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
259 -> 501 [arrowhead = none ];
501 -> 261;

502 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
259 -> 502 [arrowhead = none ];
502 -> 262;

503 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
261 -> 503 [arrowhead = none ];
503 -> 263;

504 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
262 -> 504 [arrowhead = none ];
504 -> 269;

505 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
263 -> 505 [arrowhead = none ];
505 -> 266;

506 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
266 -> 506 [arrowhead = none ];
506 -> 267;

507 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
269 -> 507 [arrowhead = none ];
507 -> 270;

508 [label="ONLY EVAL with clause\nno(X218).\nand substitutionT128 -> T135,\nX218 -> zero(T135)", fontsize=14, style = filled, fillcolor = lightblue];
270 -> 508 [arrowhead = none ];
508 -> 278;

509 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
278 -> 509 [arrowhead = none ];
509 -> 281;

510 [label="ONLY EVAL with clause\nno(X227) :- ','(call(X227), ','(!_46, failure(a))).\nand substitutionT117 -> T142,\nX227 -> zero(T142)", fontsize=14, style = filled, fillcolor = lightblue];
281 -> 510 [arrowhead = none ];
510 -> 283;

511 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
283 -> 511 [arrowhead = none ];
511 -> 284;

512 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
284 -> 512 [arrowhead = none ];
512 -> 285;

513 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(T135, T142, T3, T4), div(X12, 0, X13, X14))", fontsize=14, style = filled, fillcolor = lightgreen];
285 -> 513 [arrowhead = none ];
513 -> 287;

514 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
287 -> 514 [arrowhead = none ];
514 -> 288;

515 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
288 -> 515 [arrowhead = none ];
515 -> 290;

516 [label="ONLY EVAL with clause\nno(X236).\nand substitutionT142 -> T149,\nX236 -> zero(T149)", fontsize=14, style = filled, fillcolor = lightblue];
290 -> 516 [arrowhead = none ];
516 -> 294;

517 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
294 -> 517 [arrowhead = none ];
517 -> 300;

518 [label="SPLIT 2\nnew knowledge:\nT135 is ground\nT149 is ground\nT154 is ground\nreplacements:X195 -> T154", fontsize=14, style = filled, fillcolor = violet];
294 -> 518 [arrowhead = none ];
518 -> 301;

519 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
300 -> 519 [arrowhead = none ];
519 -> 304;

520 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
301 -> 520 [arrowhead = none ];
520 -> 327;

521 [label="BACKTRACK\nfor clause: minus(X, 0, X)\nwith clash: (div(T135, T149, T3, T4), div(X12, 0, X13, X14))", fontsize=14, style = filled, fillcolor = lightgreen];
304 -> 521 [arrowhead = none ];
521 -> 306;

522 [label="EVAL with clause\nminus(s(X258), s(X259), X260) :- minus(X258, X259, X260).\nand substitutionX258 -> T164,\nT135 -> s(T164),\nX259 -> T165,\nT149 -> s(T165),\nX195 -> X261,\nX260 -> X261", fontsize=14, style = filled, fillcolor = lightblue];
306 -> 522 [arrowhead = none ];
522 -> 308;

523 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
306 -> 523 [arrowhead = none ];
523 -> 310;

524 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
308 -> 524 [arrowhead = none ];
524 -> 312;

525 [label="EVAL with clause\nminus(X266, 0, X266).\nand substitutionT164 -> T170,\nX266 -> T170,\nT165 -> 0,\nX261 -> T170", fontsize=14, style = filled, fillcolor = lightblue];
312 -> 525 [arrowhead = none ];
525 -> 314;

526 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
312 -> 526 [arrowhead = none ];
526 -> 316;

527 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
314 -> 527 [arrowhead = none ];
527 -> 317;

528 [label="EVAL with clause\nminus(s(X278), s(X279), X280) :- minus(X278, X279, X280).\nand substitutionX278 -> T176,\nT164 -> s(T176),\nX279 -> T177,\nT165 -> s(T177),\nX261 -> X281,\nX280 -> X281", fontsize=14, style = filled, fillcolor = lightblue];
316 -> 528 [arrowhead = none ];
528 -> 322;

529 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
316 -> 529 [arrowhead = none ];
529 -> 324;

530 [label="BACKTRACK\nfor clause: minus(s(X), s(Y), Z) :- minus(X, Y, Z)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
317 -> 530 [arrowhead = none ];
530 -> 320;

531 [label="INSTANCE with matching:\nT164 -> T176\nT165 -> T177\nX261 -> X281", fontsize=14, style = filled, fillcolor = lightgrey];
322 -> 531 [arrowhead = none , style=dashed];
531 -> 308[style=dashed];

532 [label="INSTANCE with matching:\nT1 -> T154\nT2 -> T149\nT3 -> T120\nT4 -> T121", fontsize=14, style = filled, fillcolor = lightgrey];
327 -> 532 [arrowhead = none , style=dashed];
532 -> 2[style=dashed];

533 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
330 -> 533 [arrowhead = none ];
533 -> 333;

534 [label="ONLY EVAL with clause\nno(X299) :- ','(call(X299), ','(!_51, failure(a))).\nand substitutionT190 -> T195,\nX299 -> zero(T195)", fontsize=14, style = filled, fillcolor = lightblue];
333 -> 534 [arrowhead = none ];
534 -> 336;

535 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
336 -> 535 [arrowhead = none ];
535 -> 337;

536 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
337 -> 536 [arrowhead = none ];
536 -> 338;

537 [label="EVAL with clause\nzero(0).\nand substitutionT195 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
338 -> 537 [arrowhead = none ];
537 -> 341;

538 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
338 -> 538 [arrowhead = none ];
538 -> 343;

539 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
341 -> 539 [arrowhead = none ];
539 -> 345;

540 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
343 -> 540 [arrowhead = none ];
540 -> 350;

541 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
345 -> 541 [arrowhead = none ];
541 -> 347;

542 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
347 -> 542 [arrowhead = none ];
542 -> 348;

543 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
350 -> 543 [arrowhead = none ];
543 -> 351;

544 [label="ONLY EVAL with clause\nno(X302).\nand substitutionT195 -> T198,\nX302 -> zero(T198)", fontsize=14, style = filled, fillcolor = lightblue];
351 -> 544 [arrowhead = none ];
544 -> 354;

545 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
354 -> 545 [arrowhead = none ];
545 -> 355;

546 [label="ONLY EVAL with clause\nno(X305) :- ','(call(X305), ','(!_55, failure(a))).\nand substitutionT191 -> T201,\nX305 -> zero(T201)", fontsize=14, style = filled, fillcolor = lightblue];
355 -> 546 [arrowhead = none ];
546 -> 358;

547 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
358 -> 547 [arrowhead = none ];
547 -> 360;

548 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
360 -> 548 [arrowhead = none ];
548 -> 362;

549 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(T198, T201, T3, T4), div(X12, 0, X13, X14))", fontsize=14, style = filled, fillcolor = lightgreen];
362 -> 549 [arrowhead = none ];
549 -> 364;

550 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
364 -> 550 [arrowhead = none ];
550 -> 366;

551 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
366 -> 551 [arrowhead = none ];
551 -> 367;

552 [label="ONLY EVAL with clause\nno(X308).\nand substitutionT201 -> T204,\nX308 -> zero(T204)", fontsize=14, style = filled, fillcolor = lightblue];
367 -> 552 [arrowhead = none ];
552 -> 370;

553 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
370 -> 553 [arrowhead = none ];
553 -> 371;

}

(2) Obligation:

Complexity Dependency Tuples Problem
Rules:

f2_in(0, 0) → U1(f36_in, 0, 0)
f2_in(z0, 0) → U2(f21_in(z0), z0, 0)
f2_in(0, z0) → f2_out1
f2_in(0, z0) → U3(f196_in(z0), 0, z0)
f2_in(z0, z1) → U4(f178_in(z0, z1), z0, z1)
U1(f36_out1, 0, 0) → f2_out1
U1(f36_out2, 0, 0) → f2_out1
U2(f21_out1, z0, 0) → f2_out1
U2(f21_out2, z0, 0) → f2_out1
U3(f196_out1, 0, z0) → f2_out1
U3(f196_out2, 0, z0) → f2_out1
U4(f178_out1, z0, z1) → f2_out1
U4(f178_out2, z0, z1) → f2_out1
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)
f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
f301_in(z0, z1) → U7(f2_in(z0, z1), z0, z1)
U7(f2_out1, z0, z1) → f301_out1
f241_in(z0, z1) → U8(f294_in(z0, z1), z0, z1)
U8(f294_out1(z0), z1, z2) → f241_out1
f243_in(z0, z1) → f243_out1
f294_in(z0, z1) → U9(f300_in(z0, z1), z0, z1)
U9(f300_out1(z0), z1, z2) → U10(f301_in(z0, z2), z1, z2, z0)
U10(f301_out1, z0, z1, z2) → f294_out1(z2)
f21_in(z0) → U11(f83_in(z0), f84_in(z0), z0)
U11(f83_out1, z0, z1) → f21_out1
U11(z0, f84_out1, z1) → f21_out2
f36_in → U12(f39_in, f40_in)
U12(f39_out1, z0) → f36_out1
U12(z0, f40_out1) → f36_out2
f178_in(z0, z1) → U13(f241_in(z0, z1), f243_in(z0, z1), z0, z1)
U13(f241_out1, z0, z1, z2) → f178_out1
U13(z0, f243_out1, z1, z2) → f178_out2
f196_in(z0) → U14(f199_in(z0), f200_in(z0), z0)
U14(f199_out1, z0, z1) → f196_out1
U14(z0, f200_out1, z1) → f196_out2

Tuples:

F2_IN(0, 0) → c(U1'(f36_in, 0, 0), F36_IN)
F2_IN(z0, 0) → c1(U2'(f21_in(z0), z0, 0), F21_IN(z0))
F2_IN(0, z0) → c3(U3'(f196_in(z0), 0, z0), F196_IN(z0))
F2_IN(z0, z1) → c4(U4'(f178_in(z0, z1), z0, z1), F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(U5'(f308_in(z0, z1), s(z0), s(z1)), F308_IN(z0, z1))
F300_IN(s(z0), s(z1)) → c16(U6'(f308_in(z0, z1), s(z0), s(z1)), F308_IN(z0, z1))
F301_IN(z0, z1) → c18(U7'(f2_in(z0, z1), z0, z1), F2_IN(z0, z1))
F241_IN(z0, z1) → c20(U8'(f294_in(z0, z1), z0, z1), F294_IN(z0, z1))
F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(U10'(f301_in(z0, z2), z1, z2, z0), F301_IN(z0, z2))
F21_IN(z0) → c26(U11'(f83_in(z0), f84_in(z0), z0))
F36_IN → c29(U12'(f39_in, f40_in))
F178_IN(z0, z1) → c32(U13'(f241_in(z0, z1), f243_in(z0, z1), z0, z1), F241_IN(z0, z1), F243_IN(z0, z1))
F196_IN(z0) → c35(U14'(f199_in(z0), f200_in(z0), z0))

S tuples:

F2_IN(0, 0) → c(U1'(f36_in, 0, 0), F36_IN)
F2_IN(z0, 0) → c1(U2'(f21_in(z0), z0, 0), F21_IN(z0))
F2_IN(0, z0) → c3(U3'(f196_in(z0), 0, z0), F196_IN(z0))
F2_IN(z0, z1) → c4(U4'(f178_in(z0, z1), z0, z1), F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(U5'(f308_in(z0, z1), s(z0), s(z1)), F308_IN(z0, z1))
F300_IN(s(z0), s(z1)) → c16(U6'(f308_in(z0, z1), s(z0), s(z1)), F308_IN(z0, z1))
F301_IN(z0, z1) → c18(U7'(f2_in(z0, z1), z0, z1), F2_IN(z0, z1))
F241_IN(z0, z1) → c20(U8'(f294_in(z0, z1), z0, z1), F294_IN(z0, z1))
F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(U10'(f301_in(z0, z2), z1, z2, z0), F301_IN(z0, z2))
F21_IN(z0) → c26(U11'(f83_in(z0), f84_in(z0), z0))
F36_IN → c29(U12'(f39_in, f40_in))
F178_IN(z0, z1) → c32(U13'(f241_in(z0, z1), f243_in(z0, z1), z0, z1), F241_IN(z0, z1), F243_IN(z0, z1))
F196_IN(z0) → c35(U14'(f199_in(z0), f200_in(z0), z0))

K tuples:none
Defined Rule Symbols:

f2_in, U1, U2, U3, U4, f308_in, U5, f300_in, U6, f301_in, U7, f241_in, U8, f243_in, f294_in, U9, U10, f21_in, U11, f36_in, U12, f178_in, U13, f196_in, U14

Defined Pair Symbols:

F2_IN, F308_IN, F300_IN, F301_IN, F241_IN, F294_IN, U9', F21_IN, F36_IN, F178_IN, F196_IN

Compound Symbols:

c, c1, c3, c4, c14, c16, c18, c20, c23, c24, c26, c29, c32, c35

(3) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID) transformation)

Split RHS of tuples not part of any SCC

(4) Obligation:

Complexity Dependency Tuples Problem
Rules:

f2_in(0, 0) → U1(f36_in, 0, 0)
f2_in(z0, 0) → U2(f21_in(z0), z0, 0)
f2_in(0, z0) → f2_out1
f2_in(0, z0) → U3(f196_in(z0), 0, z0)
f2_in(z0, z1) → U4(f178_in(z0, z1), z0, z1)
U1(f36_out1, 0, 0) → f2_out1
U1(f36_out2, 0, 0) → f2_out1
U2(f21_out1, z0, 0) → f2_out1
U2(f21_out2, z0, 0) → f2_out1
U3(f196_out1, 0, z0) → f2_out1
U3(f196_out2, 0, z0) → f2_out1
U4(f178_out1, z0, z1) → f2_out1
U4(f178_out2, z0, z1) → f2_out1
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)
f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
f301_in(z0, z1) → U7(f2_in(z0, z1), z0, z1)
U7(f2_out1, z0, z1) → f301_out1
f241_in(z0, z1) → U8(f294_in(z0, z1), z0, z1)
U8(f294_out1(z0), z1, z2) → f241_out1
f243_in(z0, z1) → f243_out1
f294_in(z0, z1) → U9(f300_in(z0, z1), z0, z1)
U9(f300_out1(z0), z1, z2) → U10(f301_in(z0, z2), z1, z2, z0)
U10(f301_out1, z0, z1, z2) → f294_out1(z2)
f21_in(z0) → U11(f83_in(z0), f84_in(z0), z0)
U11(f83_out1, z0, z1) → f21_out1
U11(z0, f84_out1, z1) → f21_out2
f36_in → U12(f39_in, f40_in)
U12(f39_out1, z0) → f36_out1
U12(z0, f40_out1) → f36_out2
f178_in(z0, z1) → U13(f241_in(z0, z1), f243_in(z0, z1), z0, z1)
U13(f241_out1, z0, z1, z2) → f178_out1
U13(z0, f243_out1, z1, z2) → f178_out2
f196_in(z0) → U14(f199_in(z0), f200_in(z0), z0)
U14(f199_out1, z0, z1) → f196_out1
U14(z0, f200_out1, z1) → f196_out2

Tuples:

F2_IN(z0, z1) → c4(U4'(f178_in(z0, z1), z0, z1), F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(U5'(f308_in(z0, z1), s(z0), s(z1)), F308_IN(z0, z1))
F301_IN(z0, z1) → c18(U7'(f2_in(z0, z1), z0, z1), F2_IN(z0, z1))
F241_IN(z0, z1) → c20(U8'(f294_in(z0, z1), z0, z1), F294_IN(z0, z1))
F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(U10'(f301_in(z0, z2), z1, z2, z0), F301_IN(z0, z2))
F21_IN(z0) → c26(U11'(f83_in(z0), f84_in(z0), z0))
F36_IN → c29(U12'(f39_in, f40_in))
F178_IN(z0, z1) → c32(U13'(f241_in(z0, z1), f243_in(z0, z1), z0, z1), F241_IN(z0, z1), F243_IN(z0, z1))
F196_IN(z0) → c35(U14'(f199_in(z0), f200_in(z0), z0))
F2_IN(0, 0) → c2(U1'(f36_in, 0, 0))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(U2'(f21_in(z0), z0, 0))
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(U3'(f196_in(z0), 0, z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(U6'(f308_in(z0, z1), s(z0), s(z1)))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))

S tuples:

F2_IN(z0, z1) → c4(U4'(f178_in(z0, z1), z0, z1), F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(U5'(f308_in(z0, z1), s(z0), s(z1)), F308_IN(z0, z1))
F301_IN(z0, z1) → c18(U7'(f2_in(z0, z1), z0, z1), F2_IN(z0, z1))
F241_IN(z0, z1) → c20(U8'(f294_in(z0, z1), z0, z1), F294_IN(z0, z1))
F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(U10'(f301_in(z0, z2), z1, z2, z0), F301_IN(z0, z2))
F21_IN(z0) → c26(U11'(f83_in(z0), f84_in(z0), z0))
F36_IN → c29(U12'(f39_in, f40_in))
F178_IN(z0, z1) → c32(U13'(f241_in(z0, z1), f243_in(z0, z1), z0, z1), F241_IN(z0, z1), F243_IN(z0, z1))
F196_IN(z0) → c35(U14'(f199_in(z0), f200_in(z0), z0))
F2_IN(0, 0) → c2(U1'(f36_in, 0, 0))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(U2'(f21_in(z0), z0, 0))
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(U3'(f196_in(z0), 0, z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(U6'(f308_in(z0, z1), s(z0), s(z1)))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))

K tuples:none
Defined Rule Symbols:

f2_in, U1, U2, U3, U4, f308_in, U5, f300_in, U6, f301_in, U7, f241_in, U8, f243_in, f294_in, U9, U10, f21_in, U11, f36_in, U12, f178_in, U13, f196_in, U14

Defined Pair Symbols:

F2_IN, F308_IN, F301_IN, F241_IN, F294_IN, U9', F21_IN, F36_IN, F178_IN, F196_IN, F300_IN

Compound Symbols:

c4, c14, c18, c20, c23, c24, c26, c29, c32, c35, c2

(5) CdtGraphRemoveTrailingTuplepartsProof (BOTH BOUNDS(ID, ID) transformation)

Removed 14 trailing tuple parts

(6) Obligation:

Complexity Dependency Tuples Problem
Rules:

f2_in(0, 0) → U1(f36_in, 0, 0)
f2_in(z0, 0) → U2(f21_in(z0), z0, 0)
f2_in(0, z0) → f2_out1
f2_in(0, z0) → U3(f196_in(z0), 0, z0)
f2_in(z0, z1) → U4(f178_in(z0, z1), z0, z1)
U1(f36_out1, 0, 0) → f2_out1
U1(f36_out2, 0, 0) → f2_out1
U2(f21_out1, z0, 0) → f2_out1
U2(f21_out2, z0, 0) → f2_out1
U3(f196_out1, 0, z0) → f2_out1
U3(f196_out2, 0, z0) → f2_out1
U4(f178_out1, z0, z1) → f2_out1
U4(f178_out2, z0, z1) → f2_out1
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)
f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
f301_in(z0, z1) → U7(f2_in(z0, z1), z0, z1)
U7(f2_out1, z0, z1) → f301_out1
f241_in(z0, z1) → U8(f294_in(z0, z1), z0, z1)
U8(f294_out1(z0), z1, z2) → f241_out1
f243_in(z0, z1) → f243_out1
f294_in(z0, z1) → U9(f300_in(z0, z1), z0, z1)
U9(f300_out1(z0), z1, z2) → U10(f301_in(z0, z2), z1, z2, z0)
U10(f301_out1, z0, z1, z2) → f294_out1(z2)
f21_in(z0) → U11(f83_in(z0), f84_in(z0), z0)
U11(f83_out1, z0, z1) → f21_out1
U11(z0, f84_out1, z1) → f21_out2
f36_in → U12(f39_in, f40_in)
U12(f39_out1, z0) → f36_out1
U12(z0, f40_out1) → f36_out2
f178_in(z0, z1) → U13(f241_in(z0, z1), f243_in(z0, z1), z0, z1)
U13(f241_out1, z0, z1, z2) → f178_out1
U13(z0, f243_out1, z1, z2) → f178_out2
f196_in(z0) → U14(f199_in(z0), f200_in(z0), z0)
U14(f199_out1, z0, z1) → f196_out1
U14(z0, f200_out1, z1) → f196_out2

Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

S tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

K tuples:none
Defined Rule Symbols:

f2_in, U1, U2, U3, U4, f308_in, U5, f300_in, U6, f301_in, U7, f241_in, U8, f243_in, f294_in, U9, U10, f21_in, U11, f36_in, U12, f178_in, U13, f196_in, U14

Defined Pair Symbols:

F294_IN, F2_IN, F300_IN, F308_IN, F301_IN, F241_IN, U9', F21_IN, F36_IN, F178_IN, F196_IN

Compound Symbols:

c23, c2, c4, c14, c18, c20, c24, c26, c29, c32, c35, c2

(7) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)

Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.

F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2

We considered the (Usable) Rules:

f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)

And the Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

The order we found is given by the following interpretation:
Polynomial interpretation :

POL(0) = [2]   
POL(F178_IN(x₁, x₂)) = x₂   
POL(F196_IN(x₁)) = x₁   
POL(F21_IN(x₁)) = 0   
POL(F241_IN(x₁, x₂)) = x₂   
POL(F294_IN(x₁, x₂)) = x₂   
POL(F2_IN(x₁, x₂)) = x₂   
POL(F300_IN(x₁, x₂)) = 0   
POL(F301_IN(x₁, x₂)) = x₂   
POL(F308_IN(x₁, x₂)) = 0   
POL(F36_IN) = 0   
POL(U5(x₁, x₂, x₃)) = 0   
POL(U6(x₁, x₂, x₃)) = 0   
POL(U9'(x₁, x₂, x₃)) = x₃   
POL(c14(x₁)) = x₁   
POL(c18(x₁)) = x₁   
POL(c2) = 0   
POL(c2(x₁)) = x₁   
POL(c20(x₁)) = x₁   
POL(c23(x₁, x₂)) = x₁ + x₂   
POL(c24(x₁)) = x₁   
POL(c26) = 0   
POL(c29) = 0   
POL(c32(x₁)) = x₁   
POL(c35) = 0   
POL(c4(x₁)) = x₁   
POL(f300_in(x₁, x₂)) = 0   
POL(f300_out1(x₁)) = 0   
POL(f308_in(x₁, x₂)) = 0   
POL(f308_out1(x₁)) = 0   
POL(s(x₁)) = 0   

(8) Obligation:

Complexity Dependency Tuples Problem
Rules:

f2_in(0, 0) → U1(f36_in, 0, 0)
f2_in(z0, 0) → U2(f21_in(z0), z0, 0)
f2_in(0, z0) → f2_out1
f2_in(0, z0) → U3(f196_in(z0), 0, z0)
f2_in(z0, z1) → U4(f178_in(z0, z1), z0, z1)
U1(f36_out1, 0, 0) → f2_out1
U1(f36_out2, 0, 0) → f2_out1
U2(f21_out1, z0, 0) → f2_out1
U2(f21_out2, z0, 0) → f2_out1
U3(f196_out1, 0, z0) → f2_out1
U3(f196_out2, 0, z0) → f2_out1
U4(f178_out1, z0, z1) → f2_out1
U4(f178_out2, z0, z1) → f2_out1
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)
f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
f301_in(z0, z1) → U7(f2_in(z0, z1), z0, z1)
U7(f2_out1, z0, z1) → f301_out1
f241_in(z0, z1) → U8(f294_in(z0, z1), z0, z1)
U8(f294_out1(z0), z1, z2) → f241_out1
f243_in(z0, z1) → f243_out1
f294_in(z0, z1) → U9(f300_in(z0, z1), z0, z1)
U9(f300_out1(z0), z1, z2) → U10(f301_in(z0, z2), z1, z2, z0)
U10(f301_out1, z0, z1, z2) → f294_out1(z2)
f21_in(z0) → U11(f83_in(z0), f84_in(z0), z0)
U11(f83_out1, z0, z1) → f21_out1
U11(z0, f84_out1, z1) → f21_out2
f36_in → U12(f39_in, f40_in)
U12(f39_out1, z0) → f36_out1
U12(z0, f40_out1) → f36_out2
f178_in(z0, z1) → U13(f241_in(z0, z1), f243_in(z0, z1), z0, z1)
U13(f241_out1, z0, z1, z2) → f178_out1
U13(z0, f243_out1, z1, z2) → f178_out2
f196_in(z0) → U14(f199_in(z0), f200_in(z0), z0)
U14(f199_out1, z0, z1) → f196_out1
U14(z0, f200_out1, z1) → f196_out2

Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

S tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

K tuples:

F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2

Defined Rule Symbols:

f2_in, U1, U2, U3, U4, f308_in, U5, f300_in, U6, f301_in, U7, f241_in, U8, f243_in, f294_in, U9, U10, f21_in, U11, f36_in, U12, f178_in, U13, f196_in, U14

Defined Pair Symbols:

F294_IN, F2_IN, F300_IN, F308_IN, F301_IN, F241_IN, U9', F21_IN, F36_IN, F178_IN, F196_IN

Compound Symbols:

c23, c2, c4, c14, c18, c20, c24, c26, c29, c32, c35, c2

(9) CdtKnowledgeProof (EQUIVALENT transformation)

The following tuples could be moved from S to K by knowledge propagation:

F21_IN(z0) → c26
F36_IN → c29

(10) Obligation:

Complexity Dependency Tuples Problem
Rules:

f2_in(0, 0) → U1(f36_in, 0, 0)
f2_in(z0, 0) → U2(f21_in(z0), z0, 0)
f2_in(0, z0) → f2_out1
f2_in(0, z0) → U3(f196_in(z0), 0, z0)
f2_in(z0, z1) → U4(f178_in(z0, z1), z0, z1)
U1(f36_out1, 0, 0) → f2_out1
U1(f36_out2, 0, 0) → f2_out1
U2(f21_out1, z0, 0) → f2_out1
U2(f21_out2, z0, 0) → f2_out1
U3(f196_out1, 0, z0) → f2_out1
U3(f196_out2, 0, z0) → f2_out1
U4(f178_out1, z0, z1) → f2_out1
U4(f178_out2, z0, z1) → f2_out1
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)
f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
f301_in(z0, z1) → U7(f2_in(z0, z1), z0, z1)
U7(f2_out1, z0, z1) → f301_out1
f241_in(z0, z1) → U8(f294_in(z0, z1), z0, z1)
U8(f294_out1(z0), z1, z2) → f241_out1
f243_in(z0, z1) → f243_out1
f294_in(z0, z1) → U9(f300_in(z0, z1), z0, z1)
U9(f300_out1(z0), z1, z2) → U10(f301_in(z0, z2), z1, z2, z0)
U10(f301_out1, z0, z1, z2) → f294_out1(z2)
f21_in(z0) → U11(f83_in(z0), f84_in(z0), z0)
U11(f83_out1, z0, z1) → f21_out1
U11(z0, f84_out1, z1) → f21_out2
f36_in → U12(f39_in, f40_in)
U12(f39_out1, z0) → f36_out1
U12(z0, f40_out1) → f36_out2
f178_in(z0, z1) → U13(f241_in(z0, z1), f243_in(z0, z1), z0, z1)
U13(f241_out1, z0, z1, z2) → f178_out1
U13(z0, f243_out1, z1, z2) → f178_out2
f196_in(z0) → U14(f199_in(z0), f200_in(z0), z0)
U14(f199_out1, z0, z1) → f196_out1
U14(z0, f200_out1, z1) → f196_out2

Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

S tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

K tuples:

F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F21_IN(z0) → c26
F36_IN → c29

Defined Rule Symbols:

f2_in, U1, U2, U3, U4, f308_in, U5, f300_in, U6, f301_in, U7, f241_in, U8, f243_in, f294_in, U9, U10, f21_in, U11, f36_in, U12, f178_in, U13, f196_in, U14

Defined Pair Symbols:

F294_IN, F2_IN, F300_IN, F308_IN, F301_IN, F241_IN, U9', F21_IN, F36_IN, F178_IN, F196_IN

Compound Symbols:

c23, c2, c4, c14, c18, c20, c24, c26, c29, c32, c35, c2

(11) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)

Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.

F196_IN(z0) → c35
F2_IN(0, z0) → c2

We considered the (Usable) Rules:

f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)

And the Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

The order we found is given by the following interpretation:
Polynomial interpretation :

POL(0) = 0   
POL(F178_IN(x₁, x₂)) = [1]   
POL(F196_IN(x₁)) = [1]   
POL(F21_IN(x₁)) = [1]   
POL(F241_IN(x₁, x₂)) = [1]   
POL(F294_IN(x₁, x₂)) = [1]   
POL(F2_IN(x₁, x₂)) = [1]   
POL(F300_IN(x₁, x₂)) = 0   
POL(F301_IN(x₁, x₂)) = [1]   
POL(F308_IN(x₁, x₂)) = 0   
POL(F36_IN) = [1]   
POL(U5(x₁, x₂, x₃)) = 0   
POL(U6(x₁, x₂, x₃)) = 0   
POL(U9'(x₁, x₂, x₃)) = [1]   
POL(c14(x₁)) = x₁   
POL(c18(x₁)) = x₁   
POL(c2) = 0   
POL(c2(x₁)) = x₁   
POL(c20(x₁)) = x₁   
POL(c23(x₁, x₂)) = x₁ + x₂   
POL(c24(x₁)) = x₁   
POL(c26) = 0   
POL(c29) = 0   
POL(c32(x₁)) = x₁   
POL(c35) = 0   
POL(c4(x₁)) = x₁   
POL(f300_in(x₁, x₂)) = 0   
POL(f300_out1(x₁)) = 0   
POL(f308_in(x₁, x₂)) = 0   
POL(f308_out1(x₁)) = 0   
POL(s(x₁)) = 0   

(12) Obligation:

Complexity Dependency Tuples Problem
Rules:

f2_in(0, 0) → U1(f36_in, 0, 0)
f2_in(z0, 0) → U2(f21_in(z0), z0, 0)
f2_in(0, z0) → f2_out1
f2_in(0, z0) → U3(f196_in(z0), 0, z0)
f2_in(z0, z1) → U4(f178_in(z0, z1), z0, z1)
U1(f36_out1, 0, 0) → f2_out1
U1(f36_out2, 0, 0) → f2_out1
U2(f21_out1, z0, 0) → f2_out1
U2(f21_out2, z0, 0) → f2_out1
U3(f196_out1, 0, z0) → f2_out1
U3(f196_out2, 0, z0) → f2_out1
U4(f178_out1, z0, z1) → f2_out1
U4(f178_out2, z0, z1) → f2_out1
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)
f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
f301_in(z0, z1) → U7(f2_in(z0, z1), z0, z1)
U7(f2_out1, z0, z1) → f301_out1
f241_in(z0, z1) → U8(f294_in(z0, z1), z0, z1)
U8(f294_out1(z0), z1, z2) → f241_out1
f243_in(z0, z1) → f243_out1
f294_in(z0, z1) → U9(f300_in(z0, z1), z0, z1)
U9(f300_out1(z0), z1, z2) → U10(f301_in(z0, z2), z1, z2, z0)
U10(f301_out1, z0, z1, z2) → f294_out1(z2)
f21_in(z0) → U11(f83_in(z0), f84_in(z0), z0)
U11(f83_out1, z0, z1) → f21_out1
U11(z0, f84_out1, z1) → f21_out2
f36_in → U12(f39_in, f40_in)
U12(f39_out1, z0) → f36_out1
U12(z0, f40_out1) → f36_out2
f178_in(z0, z1) → U13(f241_in(z0, z1), f243_in(z0, z1), z0, z1)
U13(f241_out1, z0, z1, z2) → f178_out1
U13(z0, f243_out1, z1, z2) → f178_out2
f196_in(z0) → U14(f199_in(z0), f200_in(z0), z0)
U14(f199_out1, z0, z1) → f196_out1
U14(z0, f200_out1, z1) → f196_out2

Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

S tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F300_IN(s(z0), s(z1)) → c2

K tuples:

F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F21_IN(z0) → c26
F36_IN → c29
F196_IN(z0) → c35
F2_IN(0, z0) → c2

Defined Rule Symbols:

f2_in, U1, U2, U3, U4, f308_in, U5, f300_in, U6, f301_in, U7, f241_in, U8, f243_in, f294_in, U9, U10, f21_in, U11, f36_in, U12, f178_in, U13, f196_in, U14

Defined Pair Symbols:

F294_IN, F2_IN, F300_IN, F308_IN, F301_IN, F241_IN, U9', F21_IN, F36_IN, F178_IN, F196_IN

Compound Symbols:

c23, c2, c4, c14, c18, c20, c24, c26, c29, c32, c35, c2

(13) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)

Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.

F2_IN(0, z0) → c2(F196_IN(z0))

We considered the (Usable) Rules:

f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)

And the Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

The order we found is given by the following interpretation:
Polynomial interpretation :

POL(0) = 0   
POL(F178_IN(x₁, x₂)) = [1]   
POL(F196_IN(x₁)) = 0   
POL(F21_IN(x₁)) = 0   
POL(F241_IN(x₁, x₂)) = [1]   
POL(F294_IN(x₁, x₂)) = [1]   
POL(F2_IN(x₁, x₂)) = [1]   
POL(F300_IN(x₁, x₂)) = 0   
POL(F301_IN(x₁, x₂)) = [1]   
POL(F308_IN(x₁, x₂)) = 0   
POL(F36_IN) = 0   
POL(U5(x₁, x₂, x₃)) = 0   
POL(U6(x₁, x₂, x₃)) = 0   
POL(U9'(x₁, x₂, x₃)) = [1]   
POL(c14(x₁)) = x₁   
POL(c18(x₁)) = x₁   
POL(c2) = 0   
POL(c2(x₁)) = x₁   
POL(c20(x₁)) = x₁   
POL(c23(x₁, x₂)) = x₁ + x₂   
POL(c24(x₁)) = x₁   
POL(c26) = 0   
POL(c29) = 0   
POL(c32(x₁)) = x₁   
POL(c35) = 0   
POL(c4(x₁)) = x₁   
POL(f300_in(x₁, x₂)) = 0   
POL(f300_out1(x₁)) = 0   
POL(f308_in(x₁, x₂)) = 0   
POL(f308_out1(x₁)) = 0   
POL(s(x₁)) = 0   

(14) Obligation:

Complexity Dependency Tuples Problem
Rules:

f2_in(0, 0) → U1(f36_in, 0, 0)
f2_in(z0, 0) → U2(f21_in(z0), z0, 0)
f2_in(0, z0) → f2_out1
f2_in(0, z0) → U3(f196_in(z0), 0, z0)
f2_in(z0, z1) → U4(f178_in(z0, z1), z0, z1)
U1(f36_out1, 0, 0) → f2_out1
U1(f36_out2, 0, 0) → f2_out1
U2(f21_out1, z0, 0) → f2_out1
U2(f21_out2, z0, 0) → f2_out1
U3(f196_out1, 0, z0) → f2_out1
U3(f196_out2, 0, z0) → f2_out1
U4(f178_out1, z0, z1) → f2_out1
U4(f178_out2, z0, z1) → f2_out1
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)
f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
f301_in(z0, z1) → U7(f2_in(z0, z1), z0, z1)
U7(f2_out1, z0, z1) → f301_out1
f241_in(z0, z1) → U8(f294_in(z0, z1), z0, z1)
U8(f294_out1(z0), z1, z2) → f241_out1
f243_in(z0, z1) → f243_out1
f294_in(z0, z1) → U9(f300_in(z0, z1), z0, z1)
U9(f300_out1(z0), z1, z2) → U10(f301_in(z0, z2), z1, z2, z0)
U10(f301_out1, z0, z1, z2) → f294_out1(z2)
f21_in(z0) → U11(f83_in(z0), f84_in(z0), z0)
U11(f83_out1, z0, z1) → f21_out1
U11(z0, f84_out1, z1) → f21_out2
f36_in → U12(f39_in, f40_in)
U12(f39_out1, z0) → f36_out1
U12(z0, f40_out1) → f36_out2
f178_in(z0, z1) → U13(f241_in(z0, z1), f243_in(z0, z1), z0, z1)
U13(f241_out1, z0, z1, z2) → f178_out1
U13(z0, f243_out1, z1, z2) → f178_out2
f196_in(z0) → U14(f199_in(z0), f200_in(z0), z0)
U14(f199_out1, z0, z1) → f196_out1
U14(z0, f200_out1, z1) → f196_out2

Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

S tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F300_IN(s(z0), s(z1)) → c2

K tuples:

F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F21_IN(z0) → c26
F36_IN → c29
F196_IN(z0) → c35
F2_IN(0, z0) → c2
F2_IN(0, z0) → c2(F196_IN(z0))

Defined Rule Symbols:

f2_in, U1, U2, U3, U4, f308_in, U5, f300_in, U6, f301_in, U7, f241_in, U8, f243_in, f294_in, U9, U10, f21_in, U11, f36_in, U12, f178_in, U13, f196_in, U14

Defined Pair Symbols:

F294_IN, F2_IN, F300_IN, F308_IN, F301_IN, F241_IN, U9', F21_IN, F36_IN, F178_IN, F196_IN

Compound Symbols:

c23, c2, c4, c14, c18, c20, c24, c26, c29, c32, c35, c2

(15) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)

Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.

F301_IN(z0, z1) → c18(F2_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F178_IN(z0, z1) → c32(F241_IN(z0, z1))

We considered the (Usable) Rules:

f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)

And the Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

The order we found is given by the following interpretation:
Polynomial interpretation :

POL(0) = [1]   
POL(F178_IN(x₁, x₂)) = [2] + [2]x₁   
POL(F196_IN(x₁)) = [1]   
POL(F21_IN(x₁)) = [2] + x₁   
POL(F241_IN(x₁, x₂)) = [2]x₁   
POL(F294_IN(x₁, x₂)) = [2]x₁   
POL(F2_IN(x₁, x₂)) = [2] + [2]x₁   
POL(F300_IN(x₁, x₂)) = 0   
POL(F301_IN(x₁, x₂)) = [3] + [2]x₁   
POL(F308_IN(x₁, x₂)) = 0   
POL(F36_IN) = [3]   
POL(U5(x₁, x₂, x₃)) = x₁   
POL(U6(x₁, x₂, x₃)) = [2] + x₁   
POL(U9'(x₁, x₂, x₃)) = [2]x₁   
POL(c14(x₁)) = x₁   
POL(c18(x₁)) = x₁   
POL(c2) = 0   
POL(c2(x₁)) = x₁   
POL(c20(x₁)) = x₁   
POL(c23(x₁, x₂)) = x₁ + x₂   
POL(c24(x₁)) = x₁   
POL(c26) = 0   
POL(c29) = 0   
POL(c32(x₁)) = x₁   
POL(c35) = 0   
POL(c4(x₁)) = x₁   
POL(f300_in(x₁, x₂)) = x₁   
POL(f300_out1(x₁)) = [2] + x₁   
POL(f308_in(x₁, x₂)) = x₁   
POL(f308_out1(x₁)) = x₁   
POL(s(x₁)) = [2] + x₁   

(16) Obligation:

Complexity Dependency Tuples Problem
Rules:

f2_in(0, 0) → U1(f36_in, 0, 0)
f2_in(z0, 0) → U2(f21_in(z0), z0, 0)
f2_in(0, z0) → f2_out1
f2_in(0, z0) → U3(f196_in(z0), 0, z0)
f2_in(z0, z1) → U4(f178_in(z0, z1), z0, z1)
U1(f36_out1, 0, 0) → f2_out1
U1(f36_out2, 0, 0) → f2_out1
U2(f21_out1, z0, 0) → f2_out1
U2(f21_out2, z0, 0) → f2_out1
U3(f196_out1, 0, z0) → f2_out1
U3(f196_out2, 0, z0) → f2_out1
U4(f178_out1, z0, z1) → f2_out1
U4(f178_out2, z0, z1) → f2_out1
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)
f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
f301_in(z0, z1) → U7(f2_in(z0, z1), z0, z1)
U7(f2_out1, z0, z1) → f301_out1
f241_in(z0, z1) → U8(f294_in(z0, z1), z0, z1)
U8(f294_out1(z0), z1, z2) → f241_out1
f243_in(z0, z1) → f243_out1
f294_in(z0, z1) → U9(f300_in(z0, z1), z0, z1)
U9(f300_out1(z0), z1, z2) → U10(f301_in(z0, z2), z1, z2, z0)
U10(f301_out1, z0, z1, z2) → f294_out1(z2)
f21_in(z0) → U11(f83_in(z0), f84_in(z0), z0)
U11(f83_out1, z0, z1) → f21_out1
U11(z0, f84_out1, z1) → f21_out2
f36_in → U12(f39_in, f40_in)
U12(f39_out1, z0) → f36_out1
U12(z0, f40_out1) → f36_out2
f178_in(z0, z1) → U13(f241_in(z0, z1), f243_in(z0, z1), z0, z1)
U13(f241_out1, z0, z1, z2) → f178_out1
U13(z0, f243_out1, z1, z2) → f178_out2
f196_in(z0) → U14(f199_in(z0), f200_in(z0), z0)
U14(f199_out1, z0, z1) → f196_out1
U14(z0, f200_out1, z1) → f196_out2

Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

S tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
F300_IN(s(z0), s(z1)) → c2

K tuples:

F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F21_IN(z0) → c26
F36_IN → c29
F196_IN(z0) → c35
F2_IN(0, z0) → c2
F2_IN(0, z0) → c2(F196_IN(z0))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F178_IN(z0, z1) → c32(F241_IN(z0, z1))

Defined Rule Symbols:

f2_in, U1, U2, U3, U4, f308_in, U5, f300_in, U6, f301_in, U7, f241_in, U8, f243_in, f294_in, U9, U10, f21_in, U11, f36_in, U12, f178_in, U13, f196_in, U14

Defined Pair Symbols:

F294_IN, F2_IN, F300_IN, F308_IN, F301_IN, F241_IN, U9', F21_IN, F36_IN, F178_IN, F196_IN

Compound Symbols:

c23, c2, c4, c14, c18, c20, c24, c26, c29, c32, c35, c2

(17) CdtKnowledgeProof (EQUIVALENT transformation)

The following tuples could be moved from S to K by knowledge propagation:

F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F300_IN(s(z0), s(z1)) → c2

(18) Obligation:

Complexity Dependency Tuples Problem
Rules:

f2_in(0, 0) → U1(f36_in, 0, 0)
f2_in(z0, 0) → U2(f21_in(z0), z0, 0)
f2_in(0, z0) → f2_out1
f2_in(0, z0) → U3(f196_in(z0), 0, z0)
f2_in(z0, z1) → U4(f178_in(z0, z1), z0, z1)
U1(f36_out1, 0, 0) → f2_out1
U1(f36_out2, 0, 0) → f2_out1
U2(f21_out1, z0, 0) → f2_out1
U2(f21_out2, z0, 0) → f2_out1
U3(f196_out1, 0, z0) → f2_out1
U3(f196_out2, 0, z0) → f2_out1
U4(f178_out1, z0, z1) → f2_out1
U4(f178_out2, z0, z1) → f2_out1
f308_in(z0, 0) → f308_out1(z0)
f308_in(s(z0), s(z1)) → U5(f308_in(z0, z1), s(z0), s(z1))
U5(f308_out1(z0), s(z1), s(z2)) → f308_out1(z0)
f300_in(s(z0), s(z1)) → U6(f308_in(z0, z1), s(z0), s(z1))
U6(f308_out1(z0), s(z1), s(z2)) → f300_out1(z0)
f301_in(z0, z1) → U7(f2_in(z0, z1), z0, z1)
U7(f2_out1, z0, z1) → f301_out1
f241_in(z0, z1) → U8(f294_in(z0, z1), z0, z1)
U8(f294_out1(z0), z1, z2) → f241_out1
f243_in(z0, z1) → f243_out1
f294_in(z0, z1) → U9(f300_in(z0, z1), z0, z1)
U9(f300_out1(z0), z1, z2) → U10(f301_in(z0, z2), z1, z2, z0)
U10(f301_out1, z0, z1, z2) → f294_out1(z2)
f21_in(z0) → U11(f83_in(z0), f84_in(z0), z0)
U11(f83_out1, z0, z1) → f21_out1
U11(z0, f84_out1, z1) → f21_out2
f36_in → U12(f39_in, f40_in)
U12(f39_out1, z0) → f36_out1
U12(z0, f40_out1) → f36_out2
f178_in(z0, z1) → U13(f241_in(z0, z1), f243_in(z0, z1), z0, z1)
U13(f241_out1, z0, z1, z2) → f178_out1
U13(z0, f243_out1, z1, z2) → f178_out2
f196_in(z0) → U14(f199_in(z0), f200_in(z0), z0)
U14(f199_out1, z0, z1) → f196_out1
U14(z0, f200_out1, z1) → f196_out2

Tuples:

F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, z0) → c2(F196_IN(z0))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F21_IN(z0) → c26
F36_IN → c29
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F196_IN(z0) → c35
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F2_IN(0, z0) → c2
F300_IN(s(z0), s(z1)) → c2

S tuples:

F308_IN(s(z0), s(z1)) → c14(F308_IN(z0, z1))

K tuples:

F2_IN(0, 0) → c2(F36_IN)
F2_IN(z0, 0) → c2(F21_IN(z0))
F2_IN(0, 0) → c2
F2_IN(z0, 0) → c2
F21_IN(z0) → c26
F36_IN → c29
F196_IN(z0) → c35
F2_IN(0, z0) → c2
F2_IN(0, z0) → c2(F196_IN(z0))
F301_IN(z0, z1) → c18(F2_IN(z0, z1))
U9'(f300_out1(z0), z1, z2) → c24(F301_IN(z0, z2))
F178_IN(z0, z1) → c32(F241_IN(z0, z1))
F2_IN(z0, z1) → c4(F178_IN(z0, z1))
F241_IN(z0, z1) → c20(F294_IN(z0, z1))
F294_IN(z0, z1) → c23(U9'(f300_in(z0, z1), z0, z1), F300_IN(z0, z1))
F300_IN(s(z0), s(z1)) → c2(F308_IN(z0, z1))
F300_IN(s(z0), s(z1)) → c2

Defined Rule Symbols:

f2_in, U1, U2, U3, U4, f308_in, U5, f300_in, U6, f301_in, U7, f241_in, U8, f243_in, f294_in, U9, U10, f21_in, U11, f36_in, U12, f178_in, U13, f196_in, U14

Defined Pair Symbols:

F294_IN, F2_IN, F300_IN, F308_IN, F301_IN, F241_IN, U9', F21_IN, F36_IN, F178_IN, F196_IN

Compound Symbols:

c23, c2, c4, c14, c18, c20, c24, c26, c29, c32, c35, c2

(19) PrologToCdtProblemTransformerProof (UPPER BOUND (ID) transformation)

Built complexity over-approximating cdt problems from derivation graph.

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];
3 [label="3: 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];
6 [label="6: 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];
7 [label="7: 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];
9 [label="9: 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];
11 [label="11: ?_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];
13 [label="13: 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];
15 [label="15: 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];
16 [label="16: 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];
17 [label="17: 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];
18 [label="18: ','(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];
19 [label="19: ','(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];
25 [label="25: ','(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];
26 [label="26: ','(!_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];
27 [label="27: 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];
31 [label="31: 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];
32 [label="32: ?_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];
34 [label="34: 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];
37 [label="37: div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 2\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
38 [label="38: div(0, 0, T3, T4), SCOPE: 1, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
41 [label="41: ','(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];
42 [label="42: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
43 [label="43: ','(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];
46 [label="46: ','(','(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];
48 [label="48: ','(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];
49 [label="49: ','(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];
51 [label="51: ','(','(!_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];
53 [label="53: ','(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];
55 [label="55: ','(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];
56 [label="56: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
61 [label="61: ','(no(zero(0)), no(zero(0)))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
62 [label="62: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
63 [label="63: ','(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];
65 [label="65: ','(','(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];
67 [label="67: ','(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];
69 [label="69: ','(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];
70 [label="70: ','(','(!_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];
71 [label="71: ','(failure(a), no(zero(0)))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
72 [label="72: ','(failure(a), no(zero(0))), SCOPE: 14, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
73 [label="73: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
81 [label="81: 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];
82 [label="82: 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];
85 [label="85: ','(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];
86 [label="86: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
88 [label="88: ','(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];
91 [label="91: ','(','(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];
92 [label="92: ','(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];
93 [label="93: ','(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];
96 [label="96: ','(','(!_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];
97 [label="97: ?_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];
99 [label="99: ','(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];
101 [label="101: ','(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];
102 [label="102: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
103 [label="103: ?_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];
105 [label="105: ','(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];
111 [label="111: ','(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];
112 [label="112: ','(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];
114 [label="114: ','(','(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];
116 [label="116: ','(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];
117 [label="117: ','(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];
119 [label="119: ','(','(!_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];
121 [label="121: ','(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];
123 [label="123: ','(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];
124 [label="124: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
129 [label="129: ','(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];
130 [label="130: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
131 [label="131: ','(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];
134 [label="134: ','(','(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];
136 [label="136: ','(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];
137 [label="137: ','(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];
138 [label="138: ','(','(!_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];
140 [label="140: ?_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];
141 [label="141: ','(failure(a), no(zero(0)))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
143 [label="143: ','(failure(a), no(zero(0))), SCOPE: 26, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
144 [label="144: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
146 [label="146: ?_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];
148 [label="148: ','(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];
153 [label="153: no(zero(0))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
154 [label="154: no(zero(0)), SCOPE: 27, CLAUSE: 8 | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
157 [label="157: ','(call(zero(0)), ','(!_27, failure(a))) | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
158 [label="158: ','(zero(0), ','(!_27, failure(a))) | ?_28 | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
159 [label="159: ','(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];
160 [label="160: ','(!_27, failure(a)) | ?_29 | ?_28 | no(zero(0)), SCOPE: 27, CLAUSE: 9\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
161 [label="161: failure(a)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
163 [label="163: failure(a), SCOPE: 30, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
165 [label="165: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
169 [label="169: 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];
174 [label="174: 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];
175 [label="175: 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];
177 [label="177: ','(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];
179 [label="179: ','(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];
181 [label="181: ','(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];
182 [label="182: ?_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];
183 [label="183: ?_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];
185 [label="185: 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];
188 [label="188: 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];
190 [label="190: ?_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];
193 [label="193: 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];
197 [label="197: 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];
198 [label="198: 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];
201 [label="201: ','(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];
202 [label="202: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
204 [label="204: ','(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];
206 [label="206: ','(','(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];
208 [label="208: ','(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];
209 [label="209: ','(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];
212 [label="212: ','(','(!_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];
213 [label="213: ','(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];
216 [label="216: ','(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];
217 [label="217: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
221 [label="221: ','(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];
222 [label="222: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
223 [label="223: ','(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];
227 [label="227: ','(','(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];
228 [label="228: ','(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];
230 [label="230: ','(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];
232 [label="232: ','(','(!_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];
234 [label="234: ','(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];
235 [label="235: ','(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];
237 [label="237: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
242 [label="242: ','(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];
244 [label="244: 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];
245 [label="245: ','(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];
247 [label="247: ','(','(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];
249 [label="249: ','(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];
250 [label="250: ','(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];
251 [label="251: ','(','(!_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];
253 [label="253: ?_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];
254 [label="254: ','(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];
256 [label="256: ','(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];
258 [label="258: ?_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];
260 [label="260: 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];
264 [label="264: ','(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];
265 [label="265: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
268 [label="268: ','(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];
271 [label="271: ','(','(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];
272 [label="272: ','(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];
273 [label="273: ','(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];
274 [label="274: ','(','(!_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];
275 [label="275: ','(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];
276 [label="276: ','(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];
277 [label="277: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
279 [label="279: ?_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];
280 [label="280: ','(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];
282 [label="282: ','(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];
286 [label="286: ','(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];
289 [label="289: ','(','(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];
291 [label="291: ','(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];
292 [label="292: ','(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];
293 [label="293: ?_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];
295 [label="295: ?_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];
296 [label="296: ','(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];
297 [label="297: ','(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];
298 [label="298: ','(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];
299 [label="299: ?_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];
302 [label="302: 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];
303 [label="303: ','(!_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];
305 [label="305: 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];
307 [label="307: 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];
309 [label="309: minus(T154, T155, X255)\n\nT154 is ground\nT155 is ground\nX255 is free", fontsize=16, style=filled, fillcolor=lightyellow];
311 [label="311: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
313 [label="313: 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];
315 [label="315: true | minus(T160, 0, X255), SCOPE: 54, CLAUSE: 5\n\nT160 is ground\nX255 is free", fontsize=16, style=filled, fillcolor=lightyellow];
318 [label="318: minus(T154, T155, X255), SCOPE: 54, CLAUSE: 5\n\nT154 is ground\nT155 is ground\nX255 is free\nX260 is free\nminus(T154, T155, X255) !=? minus(X260, 0, X260)", fontsize=16, style=filled, fillcolor=lightyellow];
319 [label="319: minus(T160, 0, X255), SCOPE: 54, CLAUSE: 5\n\nT160 is ground\nX255 is free", fontsize=16, style=filled, fillcolor=lightyellow];
321 [label="321: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
323 [label="323: minus(T166, T167, X275)\n\nT166 is ground\nT167 is ground\nX275 is free", fontsize=16, style=filled, fillcolor=lightyellow];
325 [label="325: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
326 [label="326: 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];
328 [label="328: ?_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];
329 [label="329: 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];
332 [label="332: ','(no(zero(T180)), no(zero(T181)))\n\nT180 is ground\nT181 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T180, T181, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T180, T181, T3, T4) !=? div(0, X114, 0, 0)\nzero(T180) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
334 [label="334: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
335 [label="335: ','(no(zero(T180)), no(zero(T181))), SCOPE: 55, CLAUSE: 8 | ','(no(zero(T180)), no(zero(T181))), SCOPE: 55, CLAUSE: 9\n\nT180 is ground\nT181 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T180, T181, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T180, T181, T3, T4) !=? div(0, X114, 0, 0)\nzero(T180) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
339 [label="339: ','(','(call(zero(T185)), ','(!_55, failure(a))), no(zero(T181))) | ','(no(zero(T185)), no(zero(T181))), SCOPE: 55, CLAUSE: 9\n\nT181 is ground\nT185 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T185, T181, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T185, T181, T3, T4) !=? div(0, X114, 0, 0)\nzero(T185) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
340 [label="340: ','(zero(T185), ','(','(!_55, failure(a)), no(zero(T181)))) | ?_56 | ','(no(zero(T185)), no(zero(T181))), SCOPE: 55, CLAUSE: 9\n\nT181 is ground\nT185 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T185, T181, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T185, T181, T3, T4) !=? div(0, X114, 0, 0)\nzero(T185) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
342 [label="342: ','(zero(T185), ','(','(!_55, failure(a)), no(zero(T181)))), SCOPE: 57, CLAUSE: 7 | ?_57 | ?_56 | ','(no(zero(T185)), no(zero(T181))), SCOPE: 55, CLAUSE: 9\n\nT181 is ground\nT185 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T185, T181, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T185, T181, T3, T4) !=? div(0, X114, 0, 0)\nzero(T185) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
344 [label="344: ?_57 | ?_56 | ','(no(zero(T185)), no(zero(T181))), SCOPE: 55, CLAUSE: 9\n\nT181 is ground\nT185 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T185, T181, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T185, T181, T3, T4) !=? div(0, X114, 0, 0)\nzero(T185) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
346 [label="346: ?_56 | ','(no(zero(T185)), no(zero(T181))), SCOPE: 55, CLAUSE: 9\n\nT181 is ground\nT185 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T185, T181, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T185, T181, T3, T4) !=? div(0, X114, 0, 0)\nzero(T185) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
349 [label="349: ','(no(zero(T185)), no(zero(T181))), SCOPE: 55, CLAUSE: 9\n\nT181 is ground\nT185 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T185, T181, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T185, T181, T3, T4) !=? div(0, X114, 0, 0)\nzero(T185) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
352 [label="352: no(zero(T181))\n\nT181 is ground\nT188 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T188, T181, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T188, T181, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
353 [label="353: no(zero(T181)), SCOPE: 58, CLAUSE: 8 | no(zero(T181)), SCOPE: 58, CLAUSE: 9\n\nT181 is ground\nT188 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T188, T181, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T188, T181, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
356 [label="356: ','(call(zero(T191)), ','(!_58, failure(a))) | no(zero(T191)), SCOPE: 58, CLAUSE: 9\n\nT188 is ground\nT191 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T188, T191, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T188, T191, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
357 [label="357: ','(zero(T191), ','(!_58, failure(a))) | ?_59 | no(zero(T191)), SCOPE: 58, CLAUSE: 9\n\nT188 is ground\nT191 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T188, T191, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T188, T191, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
359 [label="359: ','(zero(T191), ','(!_58, failure(a))), SCOPE: 60, CLAUSE: 7 | ?_60 | ?_59 | no(zero(T191)), SCOPE: 58, CLAUSE: 9\n\nT188 is ground\nT191 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T188, T191, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T188, T191, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
361 [label="361: ?_60 | ?_59 | no(zero(T191)), SCOPE: 58, CLAUSE: 9\n\nT188 is ground\nT191 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T188, T191, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T188, T191, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
363 [label="363: ?_59 | no(zero(T191)), SCOPE: 58, CLAUSE: 9\n\nT188 is ground\nT191 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T188, T191, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T188, T191, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
365 [label="365: no(zero(T191)), SCOPE: 58, CLAUSE: 9\n\nT188 is ground\nT191 is ground\nX9 is free\nX10 is free\nX11 is free\nX114 is free\ndiv(T188, T191, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T188, T191, T3, T4) !=? div(0, X114, 0, 0)", fontsize=16, style=filled, fillcolor=lightyellow];
368 [label="368: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
369 [label="369: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
372 [label="372: ','(no(zero(T198)), no(zero(T199)))\n\nT198 is ground\nT199 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(T198, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T198, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T198, T199, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
373 [label="373: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
374 [label="374: ','(no(zero(T198)), no(zero(T199))), SCOPE: 61, CLAUSE: 8 | ','(no(zero(T198)), no(zero(T199))), SCOPE: 61, CLAUSE: 9\n\nT198 is ground\nT199 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(T198, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T198, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T198, T199, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
375 [label="375: ','(','(call(zero(T203)), ','(!_61, failure(a))), no(zero(T199))) | ','(no(zero(T203)), no(zero(T199))), SCOPE: 61, CLAUSE: 9\n\nT199 is ground\nT203 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(T203, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T203, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T203, T199, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
376 [label="376: ','(zero(T203), ','(','(!_61, failure(a)), no(zero(T199)))) | ?_62 | ','(no(zero(T203)), no(zero(T199))), SCOPE: 61, CLAUSE: 9\n\nT199 is ground\nT203 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(T203, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T203, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T203, T199, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
377 [label="377: ','(zero(T203), ','(','(!_61, failure(a)), no(zero(T199)))), SCOPE: 63, CLAUSE: 7 | ?_63 | ?_62 | ','(no(zero(T203)), no(zero(T199))), SCOPE: 61, CLAUSE: 9\n\nT199 is ground\nT203 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(T203, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T203, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T203, T199, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
378 [label="378: ','(','(!_61, failure(a)), no(zero(T199))) | ?_63 | ?_62 | ','(no(zero(0)), no(zero(T199))), SCOPE: 61, CLAUSE: 9\n\nT199 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, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(0, T199, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
379 [label="379: ?_63 | ?_62 | ','(no(zero(T203)), no(zero(T199))), SCOPE: 61, CLAUSE: 9\n\nT199 is ground\nT203 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(T203, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T203, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T203, T199, T3, T4) !=? div(X173, X174, s(X175), X176)\nzero(T203) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
380 [label="380: ','(failure(a), no(zero(T199)))\n\nT199 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, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(0, T199, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
381 [label="381: ','(failure(a), no(zero(T199))), SCOPE: 64, CLAUSE: 6\n\nT199 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, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(0, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(0, T199, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
382 [label="382: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
383 [label="383: ?_62 | ','(no(zero(T203)), no(zero(T199))), SCOPE: 61, CLAUSE: 9\n\nT199 is ground\nT203 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(T203, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T203, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T203, T199, T3, T4) !=? div(X173, X174, s(X175), X176)\nzero(T203) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
384 [label="384: ','(no(zero(T203)), no(zero(T199))), SCOPE: 61, CLAUSE: 9\n\nT199 is ground\nT203 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(T203, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T203, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T203, T199, T3, T4) !=? div(X173, X174, s(X175), X176)\nzero(T203) !=? zero(0)", fontsize=16, style=filled, fillcolor=lightyellow];
385 [label="385: no(zero(T199))\n\nT199 is ground\nT206 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(T206, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T206, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T206, T199, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
386 [label="386: no(zero(T199)), SCOPE: 65, CLAUSE: 8 | no(zero(T199)), SCOPE: 65, CLAUSE: 9\n\nT199 is ground\nT206 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(T206, T199, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T206, T199, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T206, T199, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
387 [label="387: ','(call(zero(T209)), ','(!_65, failure(a))) | no(zero(T209)), SCOPE: 65, CLAUSE: 9\n\nT206 is ground\nT209 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(T206, T209, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T206, T209, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T206, T209, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
388 [label="388: ','(zero(T209), ','(!_65, failure(a))) | ?_66 | no(zero(T209)), SCOPE: 65, CLAUSE: 9\n\nT206 is ground\nT209 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(T206, T209, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T206, T209, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T206, T209, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
389 [label="389: ','(zero(T209), ','(!_65, failure(a))), SCOPE: 67, CLAUSE: 7 | ?_67 | ?_66 | no(zero(T209)), SCOPE: 65, CLAUSE: 9\n\nT206 is ground\nT209 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(T206, T209, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T206, T209, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T206, T209, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
390 [label="390: ?_67 | ?_66 | no(zero(T209)), SCOPE: 65, CLAUSE: 9\n\nT206 is ground\nT209 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(T206, T209, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T206, T209, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T206, T209, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
391 [label="391: ?_66 | no(zero(T209)), SCOPE: 65, CLAUSE: 9\n\nT206 is ground\nT209 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(T206, T209, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T206, T209, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T206, T209, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
392 [label="392: no(zero(T209)), SCOPE: 65, CLAUSE: 9\n\nT206 is ground\nT209 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(T206, T209, T3, T4) !=? div(X9, 0, X10, X11)\ndiv(T206, T209, T3, T4) !=? div(0, X114, 0, 0)\ndiv(T206, T209, T3, T4) !=? div(X173, X174, s(X175), X176)", fontsize=16, style=filled, fillcolor=lightyellow];
393 [label="393: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
394 [label="394: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
395 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1 -> 395 [arrowhead = none ];
395 -> 3;

396 [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];
3 -> 396 [arrowhead = none ];
396 -> 6;

397 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3 -> 397 [arrowhead = none ];
397 -> 7;

398 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
6 -> 398 [arrowhead = none ];
398 -> 9;

399 [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];
7 -> 399 [arrowhead = none ];
399 -> 169;

400 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
7 -> 400 [arrowhead = none ];
400 -> 174;

401 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
9 -> 401 [arrowhead = none ];
401 -> 11;

402 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
11 -> 402 [arrowhead = none ];
402 -> 13;

403 [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];
13 -> 403 [arrowhead = none ];
403 -> 15;

404 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
13 -> 404 [arrowhead = none ];
404 -> 16;

405 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
15 -> 405 [arrowhead = none ];
405 -> 17;

406 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
16 -> 406 [arrowhead = none ];
406 -> 81;

407 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
16 -> 407 [arrowhead = none ];
407 -> 82;

408 [label="ONLY EVAL with clause\nno(X17) :- ','(call(X17), ','(!_3, failure(a))).\nand substitutionX17 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
17 -> 408 [arrowhead = none ];
408 -> 18;

409 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
18 -> 409 [arrowhead = none ];
409 -> 19;

410 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
19 -> 410 [arrowhead = none ];
410 -> 25;

411 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
25 -> 411 [arrowhead = none ];
411 -> 26;

412 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
26 -> 412 [arrowhead = none ];
412 -> 27;

413 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
27 -> 413 [arrowhead = none ];
413 -> 31;

414 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
31 -> 414 [arrowhead = none ];
414 -> 32;

415 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
32 -> 415 [arrowhead = none ];
415 -> 34;

416 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
34 -> 416 [arrowhead = none ];
416 -> 37;

417 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
34 -> 417 [arrowhead = none ];
417 -> 38;

418 [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];
37 -> 418 [arrowhead = none ];
418 -> 41;

419 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
37 -> 419 [arrowhead = none ];
419 -> 42;

420 [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];
38 -> 420 [arrowhead = none ];
420 -> 61;

421 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
38 -> 421 [arrowhead = none ];
421 -> 62;

422 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
41 -> 422 [arrowhead = none ];
422 -> 43;

423 [label="ONLY EVAL with clause\nno(X44) :- ','(call(X44), ','(!_7, failure(a))).\nand substitutionX44 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
43 -> 423 [arrowhead = none ];
423 -> 46;

424 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
46 -> 424 [arrowhead = none ];
424 -> 48;

425 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
48 -> 425 [arrowhead = none ];
425 -> 49;

426 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
49 -> 426 [arrowhead = none ];
426 -> 51;

427 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
51 -> 427 [arrowhead = none ];
427 -> 53;

428 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
53 -> 428 [arrowhead = none ];
428 -> 55;

429 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
55 -> 429 [arrowhead = none ];
429 -> 56;

430 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
61 -> 430 [arrowhead = none ];
430 -> 63;

431 [label="ONLY EVAL with clause\nno(X57) :- ','(call(X57), ','(!_11, failure(a))).\nand substitutionX57 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
63 -> 431 [arrowhead = none ];
431 -> 65;

432 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
65 -> 432 [arrowhead = none ];
432 -> 67;

433 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
67 -> 433 [arrowhead = none ];
433 -> 69;

434 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
69 -> 434 [arrowhead = none ];
434 -> 70;

435 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
70 -> 435 [arrowhead = none ];
435 -> 71;

436 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
71 -> 436 [arrowhead = none ];
436 -> 72;

437 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
72 -> 437 [arrowhead = none ];
437 -> 73;

438 [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];
81 -> 438 [arrowhead = none ];
438 -> 85;

439 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
81 -> 439 [arrowhead = none ];
439 -> 86;

440 [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];
82 -> 440 [arrowhead = none ];
440 -> 129;

441 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
82 -> 441 [arrowhead = none ];
441 -> 130;

442 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
85 -> 442 [arrowhead = none ];
442 -> 88;

443 [label="ONLY EVAL with clause\nno(X84) :- ','(call(X84), ','(!_15, failure(a))).\nand substitutionT38 -> T46,\nX84 -> zero(T46)", fontsize=14, style = filled, fillcolor = lightblue];
88 -> 443 [arrowhead = none ];
443 -> 91;

444 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
91 -> 444 [arrowhead = none ];
444 -> 92;

445 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
92 -> 445 [arrowhead = none ];
445 -> 93;

446 [label="EVAL with clause\nzero(0).\nand substitutionT46 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
93 -> 446 [arrowhead = none ];
446 -> 96;

447 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
93 -> 447 [arrowhead = none ];
447 -> 97;

448 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
96 -> 448 [arrowhead = none ];
448 -> 99;

449 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
97 -> 449 [arrowhead = none ];
449 -> 103;

450 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
99 -> 450 [arrowhead = none ];
450 -> 101;

451 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
101 -> 451 [arrowhead = none ];
451 -> 102;

452 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
103 -> 452 [arrowhead = none ];
452 -> 105;

453 [label="ONLY EVAL with clause\nno(X89).\nand substitutionT46 -> T50,\nX89 -> zero(T50)", fontsize=14, style = filled, fillcolor = lightblue];
105 -> 453 [arrowhead = none ];
453 -> 111;

454 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
111 -> 454 [arrowhead = none ];
454 -> 112;

455 [label="ONLY EVAL with clause\nno(X93) :- ','(call(X93), ','(!_19, failure(a))).\nand substitutionX93 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
112 -> 455 [arrowhead = none ];
455 -> 114;

456 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
114 -> 456 [arrowhead = none ];
456 -> 116;

457 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
116 -> 457 [arrowhead = none ];
457 -> 117;

458 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
117 -> 458 [arrowhead = none ];
458 -> 119;

459 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
119 -> 459 [arrowhead = none ];
459 -> 121;

460 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
121 -> 460 [arrowhead = none ];
460 -> 123;

461 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
123 -> 461 [arrowhead = none ];
461 -> 124;

462 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
129 -> 462 [arrowhead = none ];
462 -> 131;

463 [label="ONLY EVAL with clause\nno(X106) :- ','(call(X106), ','(!_23, failure(a))).\nand substitutionT57 -> T61,\nX106 -> zero(T61)", fontsize=14, style = filled, fillcolor = lightblue];
131 -> 463 [arrowhead = none ];
463 -> 134;

464 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
134 -> 464 [arrowhead = none ];
464 -> 136;

465 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
136 -> 465 [arrowhead = none ];
465 -> 137;

466 [label="EVAL with clause\nzero(0).\nand substitutionT61 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
137 -> 466 [arrowhead = none ];
466 -> 138;

467 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
137 -> 467 [arrowhead = none ];
467 -> 140;

468 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
138 -> 468 [arrowhead = none ];
468 -> 141;

469 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
140 -> 469 [arrowhead = none ];
469 -> 146;

470 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
141 -> 470 [arrowhead = none ];
470 -> 143;

471 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
143 -> 471 [arrowhead = none ];
471 -> 144;

472 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
146 -> 472 [arrowhead = none ];
472 -> 148;

473 [label="ONLY EVAL with clause\nno(X109).\nand substitutionT61 -> T64,\nX109 -> zero(T64)", fontsize=14, style = filled, fillcolor = lightblue];
148 -> 473 [arrowhead = none ];
473 -> 153;

474 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
153 -> 474 [arrowhead = none ];
474 -> 154;

475 [label="ONLY EVAL with clause\nno(X112) :- ','(call(X112), ','(!_27, failure(a))).\nand substitutionX112 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
154 -> 475 [arrowhead = none ];
475 -> 157;

476 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
157 -> 476 [arrowhead = none ];
476 -> 158;

477 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
158 -> 477 [arrowhead = none ];
477 -> 159;

478 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
159 -> 478 [arrowhead = none ];
478 -> 160;

479 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
160 -> 479 [arrowhead = none ];
479 -> 161;

480 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
161 -> 480 [arrowhead = none ];
480 -> 163;

481 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
163 -> 481 [arrowhead = none ];
481 -> 165;

482 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
169 -> 482 [arrowhead = none ];
482 -> 175;

483 [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];
174 -> 483 [arrowhead = none ];
483 -> 242;

484 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
174 -> 484 [arrowhead = none ];
484 -> 244;

485 [label="ONLY EVAL with clause\nno(X117) :- ','(call(X117), ','(!_31, failure(a))).\nand substitutionT66 -> T69,\nX117 -> zero(T69)", fontsize=14, style = filled, fillcolor = lightblue];
175 -> 485 [arrowhead = none ];
485 -> 177;

486 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
177 -> 486 [arrowhead = none ];
486 -> 179;

487 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
179 -> 487 [arrowhead = none ];
487 -> 181;

488 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(0, T69, T3, T4), div(X9, 0, X10, X11))", fontsize=14, style = filled, fillcolor = lightgreen];
181 -> 488 [arrowhead = none ];
488 -> 182;

489 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
182 -> 489 [arrowhead = none ];
489 -> 183;

490 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
183 -> 490 [arrowhead = none ];
490 -> 185;

491 [label="ONLY EVAL with clause\nno(X120).\nand substitutionT69 -> T72,\nX120 -> zero(T72)", fontsize=14, style = filled, fillcolor = lightblue];
185 -> 491 [arrowhead = none ];
491 -> 188;

492 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
188 -> 492 [arrowhead = none ];
492 -> 190;

493 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
190 -> 493 [arrowhead = none ];
493 -> 193;

494 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
193 -> 494 [arrowhead = none ];
494 -> 197;

495 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
193 -> 495 [arrowhead = none ];
495 -> 198;

496 [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];
197 -> 496 [arrowhead = none ];
496 -> 201;

497 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
197 -> 497 [arrowhead = none ];
497 -> 202;

498 [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];
198 -> 498 [arrowhead = none ];
498 -> 221;

499 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
198 -> 499 [arrowhead = none ];
499 -> 222;

500 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
201 -> 500 [arrowhead = none ];
500 -> 204;

501 [label="ONLY EVAL with clause\nno(X151) :- ','(call(X151), ','(!_34, failure(a))).\nand substitutionX151 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
204 -> 501 [arrowhead = none ];
501 -> 206;

502 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
206 -> 502 [arrowhead = none ];
502 -> 208;

503 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
208 -> 503 [arrowhead = none ];
503 -> 209;

504 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
209 -> 504 [arrowhead = none ];
504 -> 212;

505 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
212 -> 505 [arrowhead = none ];
505 -> 213;

506 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
213 -> 506 [arrowhead = none ];
506 -> 216;

507 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
216 -> 507 [arrowhead = none ];
507 -> 217;

508 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
221 -> 508 [arrowhead = none ];
508 -> 223;

509 [label="ONLY EVAL with clause\nno(X168) :- ','(call(X168), ','(!_38, failure(a))).\nand substitutionX168 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
223 -> 509 [arrowhead = none ];
509 -> 227;

510 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
227 -> 510 [arrowhead = none ];
510 -> 228;

511 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
228 -> 511 [arrowhead = none ];
511 -> 230;

512 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
230 -> 512 [arrowhead = none ];
512 -> 232;

513 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
232 -> 513 [arrowhead = none ];
513 -> 234;

514 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
234 -> 514 [arrowhead = none ];
514 -> 235;

515 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
235 -> 515 [arrowhead = none ];
515 -> 237;

516 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
242 -> 516 [arrowhead = none ];
516 -> 245;

517 [label="EVAL with clause\ndiv(X306, X307, X308, X306) :- ','(no(zero(X306)), no(zero(X307))).\nand substitutionT1 -> T198,\nX306 -> T198,\nT2 -> T199,\nX307 -> T199,\nT3 -> T200,\nX308 -> T200,\nT4 -> T198", fontsize=14, style = filled, fillcolor = lightblue];
244 -> 517 [arrowhead = none ];
517 -> 372;

518 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
244 -> 518 [arrowhead = none ];
518 -> 373;

519 [label="ONLY EVAL with clause\nno(X180) :- ','(call(X180), ','(!_42, failure(a))).\nand substitutionT100 -> T108,\nX180 -> zero(T108)", fontsize=14, style = filled, fillcolor = lightblue];
245 -> 519 [arrowhead = none ];
519 -> 247;

520 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
247 -> 520 [arrowhead = none ];
520 -> 249;

521 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
249 -> 521 [arrowhead = none ];
521 -> 250;

522 [label="EVAL with clause\nzero(0).\nand substitutionT108 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
250 -> 522 [arrowhead = none ];
522 -> 251;

523 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
250 -> 523 [arrowhead = none ];
523 -> 253;

524 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
251 -> 524 [arrowhead = none ];
524 -> 254;

525 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
253 -> 525 [arrowhead = none ];
525 -> 279;

526 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
254 -> 526 [arrowhead = none ];
526 -> 256;

527 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
256 -> 527 [arrowhead = none ];
527 -> 258;

528 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
258 -> 528 [arrowhead = none ];
528 -> 260;

529 [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];
260 -> 529 [arrowhead = none ];
529 -> 264;

530 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
260 -> 530 [arrowhead = none ];
530 -> 265;

531 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
264 -> 531 [arrowhead = none ];
531 -> 268;

532 [label="ONLY EVAL with clause\nno(X197) :- ','(call(X197), ','(!_46, failure(a))).\nand substitutionX197 -> zero(0)", fontsize=14, style = filled, fillcolor = lightblue];
268 -> 532 [arrowhead = none ];
532 -> 271;

533 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
271 -> 533 [arrowhead = none ];
533 -> 272;

534 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
272 -> 534 [arrowhead = none ];
534 -> 273;

535 [label="ONLY EVAL with clause\nzero(0).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
273 -> 535 [arrowhead = none ];
535 -> 274;

536 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
274 -> 536 [arrowhead = none ];
536 -> 275;

537 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
275 -> 537 [arrowhead = none ];
537 -> 276;

538 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
276 -> 538 [arrowhead = none ];
538 -> 277;

539 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
279 -> 539 [arrowhead = none ];
539 -> 280;

540 [label="ONLY EVAL with clause\nno(X206).\nand substitutionT108 -> T121,\nX206 -> zero(T121)", fontsize=14, style = filled, fillcolor = lightblue];
280 -> 540 [arrowhead = none ];
540 -> 282;

541 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
282 -> 541 [arrowhead = none ];
541 -> 286;

542 [label="ONLY EVAL with clause\nno(X215) :- ','(call(X215), ','(!_50, failure(a))).\nand substitutionT101 -> T128,\nX215 -> zero(T128)", fontsize=14, style = filled, fillcolor = lightblue];
286 -> 542 [arrowhead = none ];
542 -> 289;

543 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
289 -> 543 [arrowhead = none ];
543 -> 291;

544 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
291 -> 544 [arrowhead = none ];
544 -> 292;

545 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(T121, T128, T3, T4), div(X9, 0, X10, X11))", fontsize=14, style = filled, fillcolor = lightgreen];
292 -> 545 [arrowhead = none ];
545 -> 293;

546 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
293 -> 546 [arrowhead = none ];
546 -> 295;

547 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
295 -> 547 [arrowhead = none ];
547 -> 296;

548 [label="ONLY EVAL with clause\nno(X224).\nand substitutionT128 -> T135,\nX224 -> zero(T135)", fontsize=14, style = filled, fillcolor = lightblue];
296 -> 548 [arrowhead = none ];
548 -> 297;

549 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
297 -> 549 [arrowhead = none ];
549 -> 298;

550 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
297 -> 550 [arrowhead = none ];
550 -> 299;

551 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
298 -> 551 [arrowhead = none ];
551 -> 302;

552 [label="SPLIT 2\nnew knowledge:\nT121 is ground\nT135 is ground\nT144 is ground\nreplacements:X177 -> T144", fontsize=14, style = filled, fillcolor = violet];
298 -> 552 [arrowhead = none ];
552 -> 303;

553 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
299 -> 553 [arrowhead = none ];
553 -> 328;

554 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
302 -> 554 [arrowhead = none ];
554 -> 305;

555 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
303 -> 555 [arrowhead = none ];
555 -> 326;

556 [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];
305 -> 556 [arrowhead = none ];
556 -> 307;

557 [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];
307 -> 557 [arrowhead = none ];
557 -> 309;

558 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
307 -> 558 [arrowhead = none ];
558 -> 311;

559 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
309 -> 559 [arrowhead = none ];
559 -> 313;

560 [label="EVAL with clause\nminus(X260, 0, X260).\nand substitutionT154 -> T160,\nX260 -> T160,\nT155 -> 0,\nX255 -> T160", fontsize=14, style = filled, fillcolor = lightblue];
313 -> 560 [arrowhead = none ];
560 -> 315;

561 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
313 -> 561 [arrowhead = none ];
561 -> 318;

562 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
315 -> 562 [arrowhead = none ];
562 -> 319;

563 [label="EVAL with clause\nminus(s(X272), s(X273), X274) :- minus(X272, X273, X274).\nand substitutionX272 -> T166,\nT154 -> s(T166),\nX273 -> T167,\nT155 -> s(T167),\nX255 -> X275,\nX274 -> X275", fontsize=14, style = filled, fillcolor = lightblue];
318 -> 563 [arrowhead = none ];
563 -> 323;

564 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
318 -> 564 [arrowhead = none ];
564 -> 325;

565 [label="BACKTRACK\nfor clause: minus(s(X), s(Y), Z) :- minus(X, Y, Z)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
319 -> 565 [arrowhead = none ];
565 -> 321;

566 [label="INSTANCE with matching:\nT154 -> T166\nT155 -> T167\nX255 -> X275", fontsize=14, style = filled, fillcolor = lightgrey];
323 -> 566 [arrowhead = none , style=dashed];
566 -> 309[style=dashed];

567 [label="INSTANCE with matching:\nT1 -> T144\nT2 -> T135\nT3 -> T104\nT4 -> T105", fontsize=14, style = filled, fillcolor = lightgrey];
326 -> 567 [arrowhead = none , style=dashed];
567 -> 1[style=dashed];

568 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
328 -> 568 [arrowhead = none ];
568 -> 329;

569 [label="EVAL with clause\ndiv(X288, X289, X290, X288) :- ','(no(zero(X288)), no(zero(X289))).\nand substitutionT121 -> T180,\nX288 -> T180,\nT135 -> T181,\nX289 -> T181,\nT3 -> T182,\nX290 -> T182,\nT4 -> T180", fontsize=14, style = filled, fillcolor = lightblue];
329 -> 569 [arrowhead = none ];
569 -> 332;

570 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
329 -> 570 [arrowhead = none ];
570 -> 334;

571 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
332 -> 571 [arrowhead = none ];
571 -> 335;

572 [label="ONLY EVAL with clause\nno(X293) :- ','(call(X293), ','(!_55, failure(a))).\nand substitutionT180 -> T185,\nX293 -> zero(T185)", fontsize=14, style = filled, fillcolor = lightblue];
335 -> 572 [arrowhead = none ];
572 -> 339;

573 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
339 -> 573 [arrowhead = none ];
573 -> 340;

574 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
340 -> 574 [arrowhead = none ];
574 -> 342;

575 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (zero(T185), zero(0))", fontsize=14, style = filled, fillcolor = lightgreen];
342 -> 575 [arrowhead = none ];
575 -> 344;

576 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
344 -> 576 [arrowhead = none ];
576 -> 346;

577 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
346 -> 577 [arrowhead = none ];
577 -> 349;

578 [label="ONLY EVAL with clause\nno(X296).\nand substitutionT185 -> T188,\nX296 -> zero(T188)", fontsize=14, style = filled, fillcolor = lightblue];
349 -> 578 [arrowhead = none ];
578 -> 352;

579 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
352 -> 579 [arrowhead = none ];
579 -> 353;

580 [label="ONLY EVAL with clause\nno(X299) :- ','(call(X299), ','(!_58, failure(a))).\nand substitutionT181 -> T191,\nX299 -> zero(T191)", fontsize=14, style = filled, fillcolor = lightblue];
353 -> 580 [arrowhead = none ];
580 -> 356;

581 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
356 -> 581 [arrowhead = none ];
581 -> 357;

582 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
357 -> 582 [arrowhead = none ];
582 -> 359;

583 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(T188, T191, T3, T4), div(X9, 0, X10, X11))", fontsize=14, style = filled, fillcolor = lightgreen];
359 -> 583 [arrowhead = none ];
583 -> 361;

584 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
361 -> 584 [arrowhead = none ];
584 -> 363;

585 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
363 -> 585 [arrowhead = none ];
585 -> 365;

586 [label="ONLY EVAL with clause\nno(X302).\nand substitutionT191 -> T194,\nX302 -> zero(T194)", fontsize=14, style = filled, fillcolor = lightblue];
365 -> 586 [arrowhead = none ];
586 -> 368;

587 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
368 -> 587 [arrowhead = none ];
587 -> 369;

588 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
372 -> 588 [arrowhead = none ];
588 -> 374;

589 [label="ONLY EVAL with clause\nno(X311) :- ','(call(X311), ','(!_61, failure(a))).\nand substitutionT198 -> T203,\nX311 -> zero(T203)", fontsize=14, style = filled, fillcolor = lightblue];
374 -> 589 [arrowhead = none ];
589 -> 375;

590 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
375 -> 590 [arrowhead = none ];
590 -> 376;

591 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
376 -> 591 [arrowhead = none ];
591 -> 377;

592 [label="EVAL with clause\nzero(0).\nand substitutionT203 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
377 -> 592 [arrowhead = none ];
592 -> 378;

593 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
377 -> 593 [arrowhead = none ];
593 -> 379;

594 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
378 -> 594 [arrowhead = none ];
594 -> 380;

595 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
379 -> 595 [arrowhead = none ];
595 -> 383;

596 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
380 -> 596 [arrowhead = none ];
596 -> 381;

597 [label="BACKTRACK\nfor clause: failure(b)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
381 -> 597 [arrowhead = none ];
597 -> 382;

598 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
383 -> 598 [arrowhead = none ];
598 -> 384;

599 [label="ONLY EVAL with clause\nno(X314).\nand substitutionT203 -> T206,\nX314 -> zero(T206)", fontsize=14, style = filled, fillcolor = lightblue];
384 -> 599 [arrowhead = none ];
599 -> 385;

600 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
385 -> 600 [arrowhead = none ];
600 -> 386;

601 [label="ONLY EVAL with clause\nno(X317) :- ','(call(X317), ','(!_65, failure(a))).\nand substitutionT199 -> T209,\nX317 -> zero(T209)", fontsize=14, style = filled, fillcolor = lightblue];
386 -> 601 [arrowhead = none ];
601 -> 387;

602 [label="CALL", fontsize=14, style = filled, fillcolor = lightcyan];
387 -> 602 [arrowhead = none ];
602 -> 388;

603 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
388 -> 603 [arrowhead = none ];
603 -> 389;

604 [label="BACKTRACK\nfor clause: zero(0)\nwith clash: (div(T206, T209, T3, T4), div(X9, 0, X10, X11))", fontsize=14, style = filled, fillcolor = lightgreen];
389 -> 604 [arrowhead = none ];
604 -> 390;

605 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
390 -> 605 [arrowhead = none ];
605 -> 391;

606 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
391 -> 606 [arrowhead = none ];
606 -> 392;

607 [label="ONLY EVAL with clause\nno(X320).\nand substitutionT209 -> T212,\nX320 -> zero(T212)", fontsize=14, style = filled, fillcolor = lightblue];
392 -> 607 [arrowhead = none ];
607 -> 393;

608 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
393 -> 608 [arrowhead = none ];
608 -> 394;

}

(20) Obligation:

Complexity Dependency Tuples Problem
Rules:

f1_in(0, 0) → U1(f34_in, 0, 0)
f1_in(z0, 0) → U2(f16_in(z0), z0, 0)
f1_in(0, z0) → f1_out1
f1_in(0, z0) → U3(f193_in(z0), 0, z0)
f1_in(z0, z1) → U4(f297_in(z0, z1), z0, z1)
f1_in(z0, z1) → f1_out1
U1(f34_out1, 0, 0) → f1_out1
U1(f34_out2, 0, 0) → f1_out1
U2(f16_out1, z0, 0) → f1_out1
U2(f16_out2, z0, 0) → f1_out1
U3(f193_out1, 0, z0) → f1_out1
U3(f193_out2, 0, z0) → f1_out1
U4(f297_out1(z0), z1, z2) → f1_out1
U4(f297_out4, z0, z1) → f1_out1
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)
f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
f303_in(z0, z1) → U7(f1_in(z0, z1), z0, z1)
U7(f1_out1, z0, z1) → f303_out1
f299_in(z0, z1) → f299_out3
f298_in(z0, z1) → U8(f302_in(z0, z1), z0, z1)
U8(f302_out1(z0), z1, z2) → U9(f303_in(z0, z2), z1, z2, z0)
U9(f303_out1, z0, z1, z2) → f298_out1(z2)
f16_in(z0) → U10(f81_in(z0), f82_in(z0), z0)
U10(f81_out1, z0, z1) → f16_out1
U10(z0, f82_out1, z1) → f16_out2
f34_in → U11(f37_in, f38_in)
U11(f37_out1, z0) → f34_out1
U11(z0, f38_out1) → f34_out2
f193_in(z0) → U12(f197_in(z0), f198_in(z0), z0)
U12(f197_out1, z0, z1) → f193_out1
U12(z0, f198_out1, z1) → f193_out2
f297_in(z0, z1) → U13(f298_in(z0, z1), f299_in(z0, z1), z0, z1)
U13(f298_out1(z0), z1, z2, z3) → f297_out1(z0)
U13(z0, f299_out3, z1, z2) → f297_out4

Tuples:

F1_IN(0, 0) → c(U1'(f34_in, 0, 0), F34_IN)
F1_IN(z0, 0) → c1(U2'(f16_in(z0), z0, 0), F16_IN(z0))
F1_IN(0, z0) → c3(U3'(f193_in(z0), 0, z0), F193_IN(z0))
F1_IN(z0, z1) → c4(U4'(f297_in(z0, z1), z0, z1), F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(U5'(f309_in(z0, z1), s(z0), s(z1)), F309_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c17(U6'(f309_in(z0, z1), s(z0), s(z1)), F309_IN(z0, z1))
F303_IN(z0, z1) → c19(U7'(f1_in(z0, z1), z0, z1), F1_IN(z0, z1))
F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(U9'(f303_in(z0, z2), z1, z2, z0), F303_IN(z0, z2))
F16_IN(z0) → c25(U10'(f81_in(z0), f82_in(z0), z0))
F34_IN → c28(U11'(f37_in, f38_in))
F193_IN(z0) → c31(U12'(f197_in(z0), f198_in(z0), z0))
F297_IN(z0, z1) → c34(U13'(f298_in(z0, z1), f299_in(z0, z1), z0, z1), F298_IN(z0, z1), F299_IN(z0, z1))

S tuples:

F1_IN(0, 0) → c(U1'(f34_in, 0, 0), F34_IN)
F1_IN(z0, 0) → c1(U2'(f16_in(z0), z0, 0), F16_IN(z0))
F1_IN(0, z0) → c3(U3'(f193_in(z0), 0, z0), F193_IN(z0))
F1_IN(z0, z1) → c4(U4'(f297_in(z0, z1), z0, z1), F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(U5'(f309_in(z0, z1), s(z0), s(z1)), F309_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c17(U6'(f309_in(z0, z1), s(z0), s(z1)), F309_IN(z0, z1))
F303_IN(z0, z1) → c19(U7'(f1_in(z0, z1), z0, z1), F1_IN(z0, z1))
F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(U9'(f303_in(z0, z2), z1, z2, z0), F303_IN(z0, z2))
F16_IN(z0) → c25(U10'(f81_in(z0), f82_in(z0), z0))
F34_IN → c28(U11'(f37_in, f38_in))
F193_IN(z0) → c31(U12'(f197_in(z0), f198_in(z0), z0))
F297_IN(z0, z1) → c34(U13'(f298_in(z0, z1), f299_in(z0, z1), z0, z1), F298_IN(z0, z1), F299_IN(z0, z1))

K tuples:none
Defined Rule Symbols:

f1_in, U1, U2, U3, U4, f309_in, U5, f302_in, U6, f303_in, U7, f299_in, f298_in, U8, U9, f16_in, U10, f34_in, U11, f193_in, U12, f297_in, U13

Defined Pair Symbols:

F1_IN, F309_IN, F302_IN, F303_IN, F298_IN, U8', F16_IN, F34_IN, F193_IN, F297_IN

Compound Symbols:

c, c1, c3, c4, c15, c17, c19, c22, c23, c25, c28, c31, c34

(21) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID) transformation)

Split RHS of tuples not part of any SCC

(22) Obligation:

Complexity Dependency Tuples Problem
Rules:

f1_in(0, 0) → U1(f34_in, 0, 0)
f1_in(z0, 0) → U2(f16_in(z0), z0, 0)
f1_in(0, z0) → f1_out1
f1_in(0, z0) → U3(f193_in(z0), 0, z0)
f1_in(z0, z1) → U4(f297_in(z0, z1), z0, z1)
f1_in(z0, z1) → f1_out1
U1(f34_out1, 0, 0) → f1_out1
U1(f34_out2, 0, 0) → f1_out1
U2(f16_out1, z0, 0) → f1_out1
U2(f16_out2, z0, 0) → f1_out1
U3(f193_out1, 0, z0) → f1_out1
U3(f193_out2, 0, z0) → f1_out1
U4(f297_out1(z0), z1, z2) → f1_out1
U4(f297_out4, z0, z1) → f1_out1
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)
f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
f303_in(z0, z1) → U7(f1_in(z0, z1), z0, z1)
U7(f1_out1, z0, z1) → f303_out1
f299_in(z0, z1) → f299_out3
f298_in(z0, z1) → U8(f302_in(z0, z1), z0, z1)
U8(f302_out1(z0), z1, z2) → U9(f303_in(z0, z2), z1, z2, z0)
U9(f303_out1, z0, z1, z2) → f298_out1(z2)
f16_in(z0) → U10(f81_in(z0), f82_in(z0), z0)
U10(f81_out1, z0, z1) → f16_out1
U10(z0, f82_out1, z1) → f16_out2
f34_in → U11(f37_in, f38_in)
U11(f37_out1, z0) → f34_out1
U11(z0, f38_out1) → f34_out2
f193_in(z0) → U12(f197_in(z0), f198_in(z0), z0)
U12(f197_out1, z0, z1) → f193_out1
U12(z0, f198_out1, z1) → f193_out2
f297_in(z0, z1) → U13(f298_in(z0, z1), f299_in(z0, z1), z0, z1)
U13(f298_out1(z0), z1, z2, z3) → f297_out1(z0)
U13(z0, f299_out3, z1, z2) → f297_out4

Tuples:

F1_IN(z0, z1) → c4(U4'(f297_in(z0, z1), z0, z1), F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(U5'(f309_in(z0, z1), s(z0), s(z1)), F309_IN(z0, z1))
F303_IN(z0, z1) → c19(U7'(f1_in(z0, z1), z0, z1), F1_IN(z0, z1))
F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(U9'(f303_in(z0, z2), z1, z2, z0), F303_IN(z0, z2))
F16_IN(z0) → c25(U10'(f81_in(z0), f82_in(z0), z0))
F34_IN → c28(U11'(f37_in, f38_in))
F193_IN(z0) → c31(U12'(f197_in(z0), f198_in(z0), z0))
F297_IN(z0, z1) → c34(U13'(f298_in(z0, z1), f299_in(z0, z1), z0, z1), F298_IN(z0, z1), F299_IN(z0, z1))
F1_IN(0, 0) → c2(U1'(f34_in, 0, 0))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(U2'(f16_in(z0), z0, 0))
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(U3'(f193_in(z0), 0, z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(U6'(f309_in(z0, z1), s(z0), s(z1)))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))

S tuples:

F1_IN(z0, z1) → c4(U4'(f297_in(z0, z1), z0, z1), F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(U5'(f309_in(z0, z1), s(z0), s(z1)), F309_IN(z0, z1))
F303_IN(z0, z1) → c19(U7'(f1_in(z0, z1), z0, z1), F1_IN(z0, z1))
F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(U9'(f303_in(z0, z2), z1, z2, z0), F303_IN(z0, z2))
F16_IN(z0) → c25(U10'(f81_in(z0), f82_in(z0), z0))
F34_IN → c28(U11'(f37_in, f38_in))
F193_IN(z0) → c31(U12'(f197_in(z0), f198_in(z0), z0))
F297_IN(z0, z1) → c34(U13'(f298_in(z0, z1), f299_in(z0, z1), z0, z1), F298_IN(z0, z1), F299_IN(z0, z1))
F1_IN(0, 0) → c2(U1'(f34_in, 0, 0))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(U2'(f16_in(z0), z0, 0))
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(U3'(f193_in(z0), 0, z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(U6'(f309_in(z0, z1), s(z0), s(z1)))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))

K tuples:none
Defined Rule Symbols:

f1_in, U1, U2, U3, U4, f309_in, U5, f302_in, U6, f303_in, U7, f299_in, f298_in, U8, U9, f16_in, U10, f34_in, U11, f193_in, U12, f297_in, U13

Defined Pair Symbols:

F1_IN, F309_IN, F303_IN, F298_IN, U8', F16_IN, F34_IN, F193_IN, F297_IN, F302_IN

Compound Symbols:

c4, c15, c19, c22, c23, c25, c28, c31, c34, c2

(23) CdtGraphRemoveTrailingTuplepartsProof (BOTH BOUNDS(ID, ID) transformation)

Removed 13 trailing tuple parts

(24) Obligation:

Complexity Dependency Tuples Problem
Rules:

f1_in(0, 0) → U1(f34_in, 0, 0)
f1_in(z0, 0) → U2(f16_in(z0), z0, 0)
f1_in(0, z0) → f1_out1
f1_in(0, z0) → U3(f193_in(z0), 0, z0)
f1_in(z0, z1) → U4(f297_in(z0, z1), z0, z1)
f1_in(z0, z1) → f1_out1
U1(f34_out1, 0, 0) → f1_out1
U1(f34_out2, 0, 0) → f1_out1
U2(f16_out1, z0, 0) → f1_out1
U2(f16_out2, z0, 0) → f1_out1
U3(f193_out1, 0, z0) → f1_out1
U3(f193_out2, 0, z0) → f1_out1
U4(f297_out1(z0), z1, z2) → f1_out1
U4(f297_out4, z0, z1) → f1_out1
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)
f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
f303_in(z0, z1) → U7(f1_in(z0, z1), z0, z1)
U7(f1_out1, z0, z1) → f303_out1
f299_in(z0, z1) → f299_out3
f298_in(z0, z1) → U8(f302_in(z0, z1), z0, z1)
U8(f302_out1(z0), z1, z2) → U9(f303_in(z0, z2), z1, z2, z0)
U9(f303_out1, z0, z1, z2) → f298_out1(z2)
f16_in(z0) → U10(f81_in(z0), f82_in(z0), z0)
U10(f81_out1, z0, z1) → f16_out1
U10(z0, f82_out1, z1) → f16_out2
f34_in → U11(f37_in, f38_in)
U11(f37_out1, z0) → f34_out1
U11(z0, f38_out1) → f34_out2
f193_in(z0) → U12(f197_in(z0), f198_in(z0), z0)
U12(f197_out1, z0, z1) → f193_out1
U12(z0, f198_out1, z1) → f193_out2
f297_in(z0, z1) → U13(f298_in(z0, z1), f299_in(z0, z1), z0, z1)
U13(f298_out1(z0), z1, z2, z3) → f297_out1(z0)
U13(z0, f299_out3, z1, z2) → f297_out4

Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

S tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

K tuples:none
Defined Rule Symbols:

f1_in, U1, U2, U3, U4, f309_in, U5, f302_in, U6, f303_in, U7, f299_in, f298_in, U8, U9, f16_in, U10, f34_in, U11, f193_in, U12, f297_in, U13

Defined Pair Symbols:

F298_IN, F1_IN, F302_IN, F309_IN, F303_IN, U8', F16_IN, F34_IN, F193_IN, F297_IN

Compound Symbols:

c22, c2, c4, c15, c19, c23, c25, c28, c31, c34, c2

(25) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)

Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.

F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F16_IN(z0) → c25
F34_IN → c28
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2

We considered the (Usable) Rules:

f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)

And the Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

The order we found is given by the following interpretation:
Polynomial interpretation :

POL(0) = [2]   
POL(F16_IN(x₁)) = [1]   
POL(F193_IN(x₁)) = x₁   
POL(F1_IN(x₁, x₂)) = x₂   
POL(F297_IN(x₁, x₂)) = x₂   
POL(F298_IN(x₁, x₂)) = x₂   
POL(F302_IN(x₁, x₂)) = 0   
POL(F303_IN(x₁, x₂)) = x₂   
POL(F309_IN(x₁, x₂)) = 0   
POL(F34_IN) = [1]   
POL(U5(x₁, x₂, x₃)) = 0   
POL(U6(x₁, x₂, x₃)) = 0   
POL(U8'(x₁, x₂, x₃)) = x₃   
POL(c15(x₁)) = x₁   
POL(c19(x₁)) = x₁   
POL(c2) = 0   
POL(c2(x₁)) = x₁   
POL(c22(x₁, x₂)) = x₁ + x₂   
POL(c23(x₁)) = x₁   
POL(c25) = 0   
POL(c28) = 0   
POL(c31) = 0   
POL(c34(x₁)) = x₁   
POL(c4(x₁)) = x₁   
POL(f302_in(x₁, x₂)) = 0   
POL(f302_out1(x₁)) = 0   
POL(f309_in(x₁, x₂)) = 0   
POL(f309_out1(x₁)) = 0   
POL(s(x₁)) = 0   

(26) Obligation:

Complexity Dependency Tuples Problem
Rules:

f1_in(0, 0) → U1(f34_in, 0, 0)
f1_in(z0, 0) → U2(f16_in(z0), z0, 0)
f1_in(0, z0) → f1_out1
f1_in(0, z0) → U3(f193_in(z0), 0, z0)
f1_in(z0, z1) → U4(f297_in(z0, z1), z0, z1)
f1_in(z0, z1) → f1_out1
U1(f34_out1, 0, 0) → f1_out1
U1(f34_out2, 0, 0) → f1_out1
U2(f16_out1, z0, 0) → f1_out1
U2(f16_out2, z0, 0) → f1_out1
U3(f193_out1, 0, z0) → f1_out1
U3(f193_out2, 0, z0) → f1_out1
U4(f297_out1(z0), z1, z2) → f1_out1
U4(f297_out4, z0, z1) → f1_out1
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)
f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
f303_in(z0, z1) → U7(f1_in(z0, z1), z0, z1)
U7(f1_out1, z0, z1) → f303_out1
f299_in(z0, z1) → f299_out3
f298_in(z0, z1) → U8(f302_in(z0, z1), z0, z1)
U8(f302_out1(z0), z1, z2) → U9(f303_in(z0, z2), z1, z2, z0)
U9(f303_out1, z0, z1, z2) → f298_out1(z2)
f16_in(z0) → U10(f81_in(z0), f82_in(z0), z0)
U10(f81_out1, z0, z1) → f16_out1
U10(z0, f82_out1, z1) → f16_out2
f34_in → U11(f37_in, f38_in)
U11(f37_out1, z0) → f34_out1
U11(z0, f38_out1) → f34_out2
f193_in(z0) → U12(f197_in(z0), f198_in(z0), z0)
U12(f197_out1, z0, z1) → f193_out1
U12(z0, f198_out1, z1) → f193_out2
f297_in(z0, z1) → U13(f298_in(z0, z1), f299_in(z0, z1), z0, z1)
U13(f298_out1(z0), z1, z2, z3) → f297_out1(z0)
U13(z0, f299_out3, z1, z2) → f297_out4

Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

S tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

K tuples:

F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F16_IN(z0) → c25
F34_IN → c28
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2

Defined Rule Symbols:

f1_in, U1, U2, U3, U4, f309_in, U5, f302_in, U6, f303_in, U7, f299_in, f298_in, U8, U9, f16_in, U10, f34_in, U11, f193_in, U12, f297_in, U13

Defined Pair Symbols:

F298_IN, F1_IN, F302_IN, F309_IN, F303_IN, U8', F16_IN, F34_IN, F193_IN, F297_IN

Compound Symbols:

c22, c2, c4, c15, c19, c23, c25, c28, c31, c34, c2

(27) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)

Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.

F1_IN(0, z0) → c2(F193_IN(z0))
F1_IN(0, z0) → c2

We considered the (Usable) Rules:

f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)

And the Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

The order we found is given by the following interpretation:
Polynomial interpretation :

POL(0) = 0   
POL(F16_IN(x₁)) = [2]   
POL(F193_IN(x₁)) = 0   
POL(F1_IN(x₁, x₂)) = [2]   
POL(F297_IN(x₁, x₂)) = [2]   
POL(F298_IN(x₁, x₂)) = [2]   
POL(F302_IN(x₁, x₂)) = 0   
POL(F303_IN(x₁, x₂)) = [2]   
POL(F309_IN(x₁, x₂)) = 0   
POL(F34_IN) = [1]   
POL(U5(x₁, x₂, x₃)) = 0   
POL(U6(x₁, x₂, x₃)) = 0   
POL(U8'(x₁, x₂, x₃)) = [2]   
POL(c15(x₁)) = x₁   
POL(c19(x₁)) = x₁   
POL(c2) = 0   
POL(c2(x₁)) = x₁   
POL(c22(x₁, x₂)) = x₁ + x₂   
POL(c23(x₁)) = x₁   
POL(c25) = 0   
POL(c28) = 0   
POL(c31) = 0   
POL(c34(x₁)) = x₁   
POL(c4(x₁)) = x₁   
POL(f302_in(x₁, x₂)) = 0   
POL(f302_out1(x₁)) = 0   
POL(f309_in(x₁, x₂)) = 0   
POL(f309_out1(x₁)) = 0   
POL(s(x₁)) = 0   

(28) Obligation:

Complexity Dependency Tuples Problem
Rules:

f1_in(0, 0) → U1(f34_in, 0, 0)
f1_in(z0, 0) → U2(f16_in(z0), z0, 0)
f1_in(0, z0) → f1_out1
f1_in(0, z0) → U3(f193_in(z0), 0, z0)
f1_in(z0, z1) → U4(f297_in(z0, z1), z0, z1)
f1_in(z0, z1) → f1_out1
U1(f34_out1, 0, 0) → f1_out1
U1(f34_out2, 0, 0) → f1_out1
U2(f16_out1, z0, 0) → f1_out1
U2(f16_out2, z0, 0) → f1_out1
U3(f193_out1, 0, z0) → f1_out1
U3(f193_out2, 0, z0) → f1_out1
U4(f297_out1(z0), z1, z2) → f1_out1
U4(f297_out4, z0, z1) → f1_out1
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)
f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
f303_in(z0, z1) → U7(f1_in(z0, z1), z0, z1)
U7(f1_out1, z0, z1) → f303_out1
f299_in(z0, z1) → f299_out3
f298_in(z0, z1) → U8(f302_in(z0, z1), z0, z1)
U8(f302_out1(z0), z1, z2) → U9(f303_in(z0, z2), z1, z2, z0)
U9(f303_out1, z0, z1, z2) → f298_out1(z2)
f16_in(z0) → U10(f81_in(z0), f82_in(z0), z0)
U10(f81_out1, z0, z1) → f16_out1
U10(z0, f82_out1, z1) → f16_out2
f34_in → U11(f37_in, f38_in)
U11(f37_out1, z0) → f34_out1
U11(z0, f38_out1) → f34_out2
f193_in(z0) → U12(f197_in(z0), f198_in(z0), z0)
U12(f197_out1, z0, z1) → f193_out1
U12(z0, f198_out1, z1) → f193_out2
f297_in(z0, z1) → U13(f298_in(z0, z1), f299_in(z0, z1), z0, z1)
U13(f298_out1(z0), z1, z2, z3) → f297_out1(z0)
U13(z0, f299_out3, z1, z2) → f297_out4

Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

S tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2

K tuples:

F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F16_IN(z0) → c25
F34_IN → c28
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2(F193_IN(z0))
F1_IN(0, z0) → c2

Defined Rule Symbols:

f1_in, U1, U2, U3, U4, f309_in, U5, f302_in, U6, f303_in, U7, f299_in, f298_in, U8, U9, f16_in, U10, f34_in, U11, f193_in, U12, f297_in, U13

Defined Pair Symbols:

F298_IN, F1_IN, F302_IN, F309_IN, F303_IN, U8', F16_IN, F34_IN, F193_IN, F297_IN

Compound Symbols:

c22, c2, c4, c15, c19, c23, c25, c28, c31, c34, c2

(29) CdtKnowledgeProof (EQUIVALENT transformation)

The following tuples could be moved from S to K by knowledge propagation:

F193_IN(z0) → c31

(30) Obligation:

Complexity Dependency Tuples Problem
Rules:

f1_in(0, 0) → U1(f34_in, 0, 0)
f1_in(z0, 0) → U2(f16_in(z0), z0, 0)
f1_in(0, z0) → f1_out1
f1_in(0, z0) → U3(f193_in(z0), 0, z0)
f1_in(z0, z1) → U4(f297_in(z0, z1), z0, z1)
f1_in(z0, z1) → f1_out1
U1(f34_out1, 0, 0) → f1_out1
U1(f34_out2, 0, 0) → f1_out1
U2(f16_out1, z0, 0) → f1_out1
U2(f16_out2, z0, 0) → f1_out1
U3(f193_out1, 0, z0) → f1_out1
U3(f193_out2, 0, z0) → f1_out1
U4(f297_out1(z0), z1, z2) → f1_out1
U4(f297_out4, z0, z1) → f1_out1
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)
f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
f303_in(z0, z1) → U7(f1_in(z0, z1), z0, z1)
U7(f1_out1, z0, z1) → f303_out1
f299_in(z0, z1) → f299_out3
f298_in(z0, z1) → U8(f302_in(z0, z1), z0, z1)
U8(f302_out1(z0), z1, z2) → U9(f303_in(z0, z2), z1, z2, z0)
U9(f303_out1, z0, z1, z2) → f298_out1(z2)
f16_in(z0) → U10(f81_in(z0), f82_in(z0), z0)
U10(f81_out1, z0, z1) → f16_out1
U10(z0, f82_out1, z1) → f16_out2
f34_in → U11(f37_in, f38_in)
U11(f37_out1, z0) → f34_out1
U11(z0, f38_out1) → f34_out2
f193_in(z0) → U12(f197_in(z0), f198_in(z0), z0)
U12(f197_out1, z0, z1) → f193_out1
U12(z0, f198_out1, z1) → f193_out2
f297_in(z0, z1) → U13(f298_in(z0, z1), f299_in(z0, z1), z0, z1)
U13(f298_out1(z0), z1, z2, z3) → f297_out1(z0)
U13(z0, f299_out3, z1, z2) → f297_out4

Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

S tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2

K tuples:

F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F16_IN(z0) → c25
F34_IN → c28
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2(F193_IN(z0))
F1_IN(0, z0) → c2
F193_IN(z0) → c31

Defined Rule Symbols:

f1_in, U1, U2, U3, U4, f309_in, U5, f302_in, U6, f303_in, U7, f299_in, f298_in, U8, U9, f16_in, U10, f34_in, U11, f193_in, U12, f297_in, U13

Defined Pair Symbols:

F298_IN, F1_IN, F302_IN, F309_IN, F303_IN, U8', F16_IN, F34_IN, F193_IN, F297_IN

Compound Symbols:

c22, c2, c4, c15, c19, c23, c25, c28, c31, c34, c2

(31) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)

Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.

U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))

We considered the (Usable) Rules:

f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)

And the Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

The order we found is given by the following interpretation:
Polynomial interpretation :

POL(0) = 0   
POL(F16_IN(x₁)) = [2]x₁   
POL(F193_IN(x₁)) = 0   
POL(F1_IN(x₁, x₂)) = [2]x₁   
POL(F297_IN(x₁, x₂)) = [2]x₁   
POL(F298_IN(x₁, x₂)) = [2]x₁   
POL(F302_IN(x₁, x₂)) = 0   
POL(F303_IN(x₁, x₂)) = [2]x₁   
POL(F309_IN(x₁, x₂)) = 0   
POL(F34_IN) = 0   
POL(U5(x₁, x₂, x₃)) = x₁   
POL(U6(x₁, x₂, x₃)) = [1] + x₁   
POL(U8'(x₁, x₂, x₃)) = [2]x₁   
POL(c15(x₁)) = x₁   
POL(c19(x₁)) = x₁   
POL(c2) = 0   
POL(c2(x₁)) = x₁   
POL(c22(x₁, x₂)) = x₁ + x₂   
POL(c23(x₁)) = x₁   
POL(c25) = 0   
POL(c28) = 0   
POL(c31) = 0   
POL(c34(x₁)) = x₁   
POL(c4(x₁)) = x₁   
POL(f302_in(x₁, x₂)) = x₁   
POL(f302_out1(x₁)) = [1] + x₁   
POL(f309_in(x₁, x₂)) = x₁   
POL(f309_out1(x₁)) = x₁   
POL(s(x₁)) = [1] + x₁   

(32) Obligation:

Complexity Dependency Tuples Problem
Rules:

f1_in(0, 0) → U1(f34_in, 0, 0)
f1_in(z0, 0) → U2(f16_in(z0), z0, 0)
f1_in(0, z0) → f1_out1
f1_in(0, z0) → U3(f193_in(z0), 0, z0)
f1_in(z0, z1) → U4(f297_in(z0, z1), z0, z1)
f1_in(z0, z1) → f1_out1
U1(f34_out1, 0, 0) → f1_out1
U1(f34_out2, 0, 0) → f1_out1
U2(f16_out1, z0, 0) → f1_out1
U2(f16_out2, z0, 0) → f1_out1
U3(f193_out1, 0, z0) → f1_out1
U3(f193_out2, 0, z0) → f1_out1
U4(f297_out1(z0), z1, z2) → f1_out1
U4(f297_out4, z0, z1) → f1_out1
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)
f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
f303_in(z0, z1) → U7(f1_in(z0, z1), z0, z1)
U7(f1_out1, z0, z1) → f303_out1
f299_in(z0, z1) → f299_out3
f298_in(z0, z1) → U8(f302_in(z0, z1), z0, z1)
U8(f302_out1(z0), z1, z2) → U9(f303_in(z0, z2), z1, z2, z0)
U9(f303_out1, z0, z1, z2) → f298_out1(z2)
f16_in(z0) → U10(f81_in(z0), f82_in(z0), z0)
U10(f81_out1, z0, z1) → f16_out1
U10(z0, f82_out1, z1) → f16_out2
f34_in → U11(f37_in, f38_in)
U11(f37_out1, z0) → f34_out1
U11(z0, f38_out1) → f34_out2
f193_in(z0) → U12(f197_in(z0), f198_in(z0), z0)
U12(f197_out1, z0, z1) → f193_out1
U12(z0, f198_out1, z1) → f193_out2
f297_in(z0, z1) → U13(f298_in(z0, z1), f299_in(z0, z1), z0, z1)
U13(f298_out1(z0), z1, z2, z3) → f297_out1(z0)
U13(z0, f299_out3, z1, z2) → f297_out4

Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

S tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2

K tuples:

F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F16_IN(z0) → c25
F34_IN → c28
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2(F193_IN(z0))
F1_IN(0, z0) → c2
F193_IN(z0) → c31
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))

Defined Rule Symbols:

f1_in, U1, U2, U3, U4, f309_in, U5, f302_in, U6, f303_in, U7, f299_in, f298_in, U8, U9, f16_in, U10, f34_in, U11, f193_in, U12, f297_in, U13

Defined Pair Symbols:

F298_IN, F1_IN, F302_IN, F309_IN, F303_IN, U8', F16_IN, F34_IN, F193_IN, F297_IN

Compound Symbols:

c22, c2, c4, c15, c19, c23, c25, c28, c31, c34, c2

(33) CdtKnowledgeProof (EQUIVALENT transformation)

The following tuples could be moved from S to K by knowledge propagation:

F303_IN(z0, z1) → c19(F1_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F302_IN(s(z0), s(z1)) → c2

(34) Obligation:

Complexity Dependency Tuples Problem
Rules:

f1_in(0, 0) → U1(f34_in, 0, 0)
f1_in(z0, 0) → U2(f16_in(z0), z0, 0)
f1_in(0, z0) → f1_out1
f1_in(0, z0) → U3(f193_in(z0), 0, z0)
f1_in(z0, z1) → U4(f297_in(z0, z1), z0, z1)
f1_in(z0, z1) → f1_out1
U1(f34_out1, 0, 0) → f1_out1
U1(f34_out2, 0, 0) → f1_out1
U2(f16_out1, z0, 0) → f1_out1
U2(f16_out2, z0, 0) → f1_out1
U3(f193_out1, 0, z0) → f1_out1
U3(f193_out2, 0, z0) → f1_out1
U4(f297_out1(z0), z1, z2) → f1_out1
U4(f297_out4, z0, z1) → f1_out1
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)
f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
f303_in(z0, z1) → U7(f1_in(z0, z1), z0, z1)
U7(f1_out1, z0, z1) → f303_out1
f299_in(z0, z1) → f299_out3
f298_in(z0, z1) → U8(f302_in(z0, z1), z0, z1)
U8(f302_out1(z0), z1, z2) → U9(f303_in(z0, z2), z1, z2, z0)
U9(f303_out1, z0, z1, z2) → f298_out1(z2)
f16_in(z0) → U10(f81_in(z0), f82_in(z0), z0)
U10(f81_out1, z0, z1) → f16_out1
U10(z0, f82_out1, z1) → f16_out2
f34_in → U11(f37_in, f38_in)
U11(f37_out1, z0) → f34_out1
U11(z0, f38_out1) → f34_out2
f193_in(z0) → U12(f197_in(z0), f198_in(z0), z0)
U12(f197_out1, z0, z1) → f193_out1
U12(z0, f198_out1, z1) → f193_out2
f297_in(z0, z1) → U13(f298_in(z0, z1), f299_in(z0, z1), z0, z1)
U13(f298_out1(z0), z1, z2, z3) → f297_out1(z0)
U13(z0, f299_out3, z1, z2) → f297_out4

Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

S tuples:

F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))

K tuples:

F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F16_IN(z0) → c25
F34_IN → c28
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2(F193_IN(z0))
F1_IN(0, z0) → c2
F193_IN(z0) → c31
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2

Defined Rule Symbols:

f1_in, U1, U2, U3, U4, f309_in, U5, f302_in, U6, f303_in, U7, f299_in, f298_in, U8, U9, f16_in, U10, f34_in, U11, f193_in, U12, f297_in, U13

Defined Pair Symbols:

F298_IN, F1_IN, F302_IN, F309_IN, F303_IN, U8', F16_IN, F34_IN, F193_IN, F297_IN

Compound Symbols:

c22, c2, c4, c15, c19, c23, c25, c28, c31, c34, c2

(35) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^2))) transformation)

Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.

F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))

We considered the (Usable) Rules:

f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)

And the Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

The order we found is given by the following interpretation:
Polynomial interpretation :

POL(0) = 0   
POL(F16_IN(x₁)) = 0   
POL(F193_IN(x₁)) = x₁ + x₁²   
POL(F1_IN(x₁, x₂)) = x₂ + x₂² + x₁·x₂   
POL(F297_IN(x₁, x₂)) = x₂ + x₂² + x₁·x₂   
POL(F298_IN(x₁, x₂)) = x₂ + x₂² + x₁·x₂   
POL(F302_IN(x₁, x₂)) = x₂   
POL(F303_IN(x₁, x₂)) = x₂ + x₂² + x₁·x₂   
POL(F309_IN(x₁, x₂)) = [1] + x₂   
POL(F34_IN) = 0   
POL(U5(x₁, x₂, x₃)) = x₁   
POL(U6(x₁, x₂, x₃)) = [1] + x₁   
POL(U8'(x₁, x₂, x₃)) = x₃² + x₁·x₃   
POL(c15(x₁)) = x₁   
POL(c19(x₁)) = x₁   
POL(c2) = 0   
POL(c2(x₁)) = x₁   
POL(c22(x₁, x₂)) = x₁ + x₂   
POL(c23(x₁)) = x₁   
POL(c25) = 0   
POL(c28) = 0   
POL(c31) = 0   
POL(c34(x₁)) = x₁   
POL(c4(x₁)) = x₁   
POL(f302_in(x₁, x₂)) = x₁   
POL(f302_out1(x₁)) = [1] + x₁   
POL(f309_in(x₁, x₂)) = x₁   
POL(f309_out1(x₁)) = x₁   
POL(s(x₁)) = [1] + x₁   

(36) Obligation:

Complexity Dependency Tuples Problem
Rules:

f1_in(0, 0) → U1(f34_in, 0, 0)
f1_in(z0, 0) → U2(f16_in(z0), z0, 0)
f1_in(0, z0) → f1_out1
f1_in(0, z0) → U3(f193_in(z0), 0, z0)
f1_in(z0, z1) → U4(f297_in(z0, z1), z0, z1)
f1_in(z0, z1) → f1_out1
U1(f34_out1, 0, 0) → f1_out1
U1(f34_out2, 0, 0) → f1_out1
U2(f16_out1, z0, 0) → f1_out1
U2(f16_out2, z0, 0) → f1_out1
U3(f193_out1, 0, z0) → f1_out1
U3(f193_out2, 0, z0) → f1_out1
U4(f297_out1(z0), z1, z2) → f1_out1
U4(f297_out4, z0, z1) → f1_out1
f309_in(z0, 0) → f309_out1(z0)
f309_in(s(z0), s(z1)) → U5(f309_in(z0, z1), s(z0), s(z1))
U5(f309_out1(z0), s(z1), s(z2)) → f309_out1(z0)
f302_in(s(z0), s(z1)) → U6(f309_in(z0, z1), s(z0), s(z1))
U6(f309_out1(z0), s(z1), s(z2)) → f302_out1(z0)
f303_in(z0, z1) → U7(f1_in(z0, z1), z0, z1)
U7(f1_out1, z0, z1) → f303_out1
f299_in(z0, z1) → f299_out3
f298_in(z0, z1) → U8(f302_in(z0, z1), z0, z1)
U8(f302_out1(z0), z1, z2) → U9(f303_in(z0, z2), z1, z2, z0)
U9(f303_out1, z0, z1, z2) → f298_out1(z2)
f16_in(z0) → U10(f81_in(z0), f82_in(z0), z0)
U10(f81_out1, z0, z1) → f16_out1
U10(z0, f82_out1, z1) → f16_out2
f34_in → U11(f37_in, f38_in)
U11(f37_out1, z0) → f34_out1
U11(z0, f38_out1) → f34_out2
f193_in(z0) → U12(f197_in(z0), f198_in(z0), z0)
U12(f197_out1, z0, z1) → f193_out1
U12(z0, f198_out1, z1) → f193_out2
f297_in(z0, z1) → U13(f298_in(z0, z1), f299_in(z0, z1), z0, z1)
U13(f298_out1(z0), z1, z2, z3) → f297_out1(z0)
U13(z0, f299_out3, z1, z2) → f297_out4

Tuples:

F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F1_IN(0, z0) → c2(F193_IN(z0))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F16_IN(z0) → c25
F34_IN → c28
F193_IN(z0) → c31
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2
F302_IN(s(z0), s(z1)) → c2

S tuples:none
K tuples:

F1_IN(0, 0) → c2(F34_IN)
F1_IN(z0, 0) → c2(F16_IN(z0))
F16_IN(z0) → c25
F34_IN → c28
F1_IN(0, 0) → c2
F1_IN(z0, 0) → c2
F1_IN(0, z0) → c2(F193_IN(z0))
F1_IN(0, z0) → c2
F193_IN(z0) → c31
U8'(f302_out1(z0), z1, z2) → c23(F303_IN(z0, z2))
F303_IN(z0, z1) → c19(F1_IN(z0, z1))
F1_IN(z0, z1) → c4(F297_IN(z0, z1))
F297_IN(z0, z1) → c34(F298_IN(z0, z1))
F298_IN(z0, z1) → c22(U8'(f302_in(z0, z1), z0, z1), F302_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2(F309_IN(z0, z1))
F302_IN(s(z0), s(z1)) → c2
F309_IN(s(z0), s(z1)) → c15(F309_IN(z0, z1))

Defined Rule Symbols:

f1_in, U1, U2, U3, U4, f309_in, U5, f302_in, U6, f303_in, U7, f299_in, f298_in, U8, U9, f16_in, U10, f34_in, U11, f193_in, U12, f297_in, U13

Defined Pair Symbols:

F298_IN, F1_IN, F302_IN, F309_IN, F303_IN, U8', F16_IN, F34_IN, F193_IN, F297_IN

Compound Symbols:

c22, c2, c4, c15, c19, c23, c25, c28, c31, c34, c2

(37) SIsEmptyProof (EQUIVALENT transformation)

The set S is empty

(38) BOUNDS(O(1), O(1))