Left Termination proof of /tmp/tmpeWeRpO/prime.pl

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

0 Prolog

↳1 PrologToDTProblemTransformerProof (⇒, 16.8 s)

↳2 TRIPLES

↳3 UndefinedPredicateInTriplesTransformerProof (⇒, 0 ms)

↳4 TRIPLES

↳5 TriplesToPiDPProof (⇒, 785 ms)

↳6 PiDP

↳7 DependencyGraphProof (⇔, 46 ms)

↳8 AND

    ↳9 PiDP

        ↳10 UsableRulesProof (⇔, 0 ms)

        ↳11 PiDP

        ↳12 PiDPToQDPProof (⇒, 30 ms)

        ↳13 QDP

        ↳14 QDPSizeChangeProof (⇔, 0 ms)

        ↳15 YES

    ↳16 PiDP

        ↳17 UsableRulesProof (⇔, 0 ms)

        ↳18 PiDP

        ↳19 PiDPToQDPProof (⇒, 0 ms)

        ↳20 QDP

        ↳21 QDPSizeChangeProof (⇔, 0 ms)

        ↳22 YES

    ↳23 PiDP

        ↳24 UsableRulesProof (⇔, 0 ms)

        ↳25 PiDP

        ↳26 PiDPToQDPProof (⇒, 0 ms)

        ↳27 QDP

        ↳28 QDPSizeChangeProof (⇔, 0 ms)

        ↳29 YES

    ↳30 PiDP

        ↳31 UsableRulesProof (⇔, 0 ms)

        ↳32 PiDP

        ↳33 PiDPToQDPProof (⇒, 0 ms)

        ↳34 QDP

        ↳35 QDPSizeChangeProof (⇔, 0 ms)

        ↳36 YES

    ↳37 PiDP

        ↳38 UsableRulesProof (⇔, 0 ms)

        ↳39 PiDP

        ↳40 PiDPToQDPProof (⇒, 0 ms)

        ↳41 QDP

        ↳42 QDPSizeChangeProof (⇔, 0 ms)

        ↳43 YES

    ↳44 PiDP

        ↳45 UsableRulesProof (⇔, 0 ms)

        ↳46 PiDP

        ↳47 PiDPToQDPProof (⇒, 0 ms)

        ↳48 QDP

        ↳49 QDPSizeChangeProof (⇔, 0 ms)

        ↳50 YES

    ↳51 PiDP

        ↳52 UsableRulesProof (⇔, 0 ms)

        ↳53 PiDP

        ↳54 PiDPToQDPProof (⇒, 0 ms)

        ↳55 QDP

        ↳56 QDPSizeChangeProof (⇔, 0 ms)

        ↳57 YES

    ↳58 PiDP

        ↳59 UsableRulesProof (⇔, 0 ms)

        ↳60 PiDP

        ↳61 PiDPToQDPProof (⇒, 0 ms)

        ↳62 QDP

        ↳63 QDPSizeChangeProof (⇔, 0 ms)

        ↳64 YES

    ↳65 PiDP

        ↳66 UsableRulesProof (⇔, 0 ms)

        ↳67 PiDP

        ↳68 PiDPToQDPProof (⇒, 0 ms)

        ↳69 QDP

        ↳70 QDPSizeChangeProof (⇔, 0 ms)

        ↳71 YES

    ↳72 PiDP

        ↳73 UsableRulesProof (⇔, 0 ms)

        ↳74 PiDP

        ↳75 PiDPToQDPProof (⇒, 0 ms)

        ↳76 QDP

        ↳77 QDPSizeChangeProof (⇔, 0 ms)

        ↳78 YES

    ↳79 PiDP

        ↳80 UsableRulesProof (⇔, 0 ms)

        ↳81 PiDP

        ↳82 PiDPToQDPProof (⇒, 0 ms)

        ↳83 QDP

        ↳84 QDPSizeChangeProof (⇔, 0 ms)

        ↳85 YES

    ↳86 PiDP

        ↳87 UsableRulesProof (⇔, 0 ms)

        ↳88 PiDP

        ↳89 PiDPToQDPProof (⇒, 0 ms)

        ↳90 QDP

        ↳91 QDPSizeChangeProof (⇔, 0 ms)

        ↳92 YES

    ↳93 PiDP

        ↳94 UsableRulesProof (⇔, 0 ms)

        ↳95 PiDP

        ↳96 PiDPToQDPProof (⇔, 0 ms)

        ↳97 QDP

        ↳98 QDPSizeChangeProof (⇔, 0 ms)

        ↳99 YES

    ↳100 PiDP

        ↳101 UsableRulesProof (⇔, 0 ms)

        ↳102 PiDP

        ↳103 PiDPToQDPProof (⇒, 0 ms)

        ↳104 QDP

        ↳105 QDPSizeChangeProof (⇔, 0 ms)

        ↳106 YES

    ↳107 PiDP

        ↳108 UsableRulesProof (⇔, 0 ms)

        ↳109 PiDP

        ↳110 PiDPToQDPProof (⇒, 0 ms)

        ↳111 QDP

        ↳112 QDPSizeChangeProof (⇔, 0 ms)

        ↳113 YES

    ↳114 PiDP

        ↳115 UsableRulesProof (⇔, 0 ms)

        ↳116 PiDP

        ↳117 PiDPToQDPProof (⇒, 39 ms)

        ↳118 QDP

        ↳119 QDPSizeChangeProof (⇔, 0 ms)

        ↳120 YES

    ↳121 PiDP

        ↳122 UsableRulesProof (⇔, 0 ms)

        ↳123 PiDP

        ↳124 PiDPToQDPProof (⇒, 0 ms)

        ↳125 QDP

        ↳126 QDPSizeChangeProof (⇔, 0 ms)

        ↳127 YES

(0) Obligation:

Clauses:

div(X, Y, Z) :- quot(X, Y, Y, Z).
quot(0, s(Y), s(Z), 0).
quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U).
quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U).
prime(s(s(X))) :- pr(s(s(X)), s(X)).
pr(X, s(0)).
pr(X, s(s(Y))) :- ','(not_divides(s(s(Y)), X), pr(X, s(Y))).
not_divides(Y, X) :- ','(div(X, Y, U), ','(times(U, Y, Z), neq(X, Z))).
neq(s(X), 0).
neq(0, s(X)).
neq(s(X), s(Y)) :- neq(X, Y).
times(0, Y, 0).
times(s(X), Y, Z) :- ','(times(X, Y, U), add(U, Y, Z)).
add(X, 0, X).
add(0, X, X).
add(s(X), Y, s(Z)) :- add(X, Y, Z).

Query: prime(g)

(1) PrologToDTProblemTransformerProof (SOUND transformation)

Built DT problem from termination graph DT10.

digraph dp_graph {
node [outthreshold=100, inthreshold=100];
1 [label="N21: prime(T1)\n\nT1 is ground", fontsize=16, style=filled, fillcolor=lightyellow, color=red];
2 [label="2: prime(T1), SCOPE: 1, CLAUSE: 4\n\nT1 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3 [label="3: pr(s(s(T3)), s(T3))\n\nT3 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4 [label="4: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
5 [label="5: pr(s(s(T3)), s(T3)), SCOPE: 2, CLAUSE: 5 | pr(s(s(T3)), s(T3)), SCOPE: 2, CLAUSE: 6\n\nT3 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
6 [label="6: pr(s(s(T3)), s(T3)), SCOPE: 2, CLAUSE: 5\n\nT3 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
7 [label="7: pr(s(s(T3)), s(T3)), SCOPE: 2, CLAUSE: 6\n\nT3 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
8 [label="8: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
9 [label="9: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
10 [label="10: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
11 [label="11: ','(not_divides(s(s(T14)), s(s(s(T14)))), pr(s(s(s(T14))), s(T14)))\n\nT14 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
12 [label="12: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
13 [label="N10: not_divides(s(s(T14)), s(s(s(T14))))\n\nT14 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
14 [label="14: pr(s(s(s(T14))), s(T14))\n\nT14 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
15 [label="15: not_divides(s(s(T14)), s(s(s(T14)))), SCOPE: 3, CLAUSE: 7\n\nT14 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
16 [label="16: ','(div(s(s(s(T20))), s(s(T20)), X34), ','(times(X34, s(s(T20)), X35), neq(s(s(s(T20))), X35)))\n\nT20 is ground\nX34 is free\nX35 is free", fontsize=16, style=filled, fillcolor=lightyellow];
17 [label="N11: div(s(s(s(T20))), s(s(T20)), X34)\n\nT20 is ground\nX34 is free", fontsize=16, style=filled, fillcolor=lightyellow];
18 [label="18: ','(times(T22, s(s(T20)), X35), neq(s(s(s(T20))), X35))\n\nT20 is ground\nT22 is ground\nX35 is free", fontsize=16, style=filled, fillcolor=lightyellow];
19 [label="19: div(s(s(s(T20))), s(s(T20)), X34), SCOPE: 4, CLAUSE: 0\n\nT20 is ground\nX34 is free", fontsize=16, style=filled, fillcolor=lightyellow];
20 [label="20: quot(s(s(s(T26))), s(s(T26)), s(s(T26)), X59)\n\nT26 is ground\nX59 is free", fontsize=16, style=filled, fillcolor=lightyellow];
21 [label="21: quot(s(s(s(T26))), s(s(T26)), s(s(T26)), X59), SCOPE: 5, CLAUSE: 1 | quot(s(s(s(T26))), s(s(T26)), s(s(T26)), X59), SCOPE: 5, CLAUSE: 2 | quot(s(s(s(T26))), s(s(T26)), s(s(T26)), X59), SCOPE: 5, CLAUSE: 3\n\nT26 is ground\nX59 is free", fontsize=16, style=filled, fillcolor=lightyellow];
22 [label="22: quot(s(s(s(T26))), s(s(T26)), s(s(T26)), X59), SCOPE: 5, CLAUSE: 2 | quot(s(s(s(T26))), s(s(T26)), s(s(T26)), X59), SCOPE: 5, CLAUSE: 3\n\nT26 is ground\nX59 is free", fontsize=16, style=filled, fillcolor=lightyellow];
23 [label="23: quot(s(s(s(T26))), s(s(T26)), s(s(T26)), X59), SCOPE: 5, CLAUSE: 2\n\nT26 is ground\nX59 is free", fontsize=16, style=filled, fillcolor=lightyellow];
24 [label="24: quot(s(s(s(T26))), s(s(T26)), s(s(T26)), X59), SCOPE: 5, CLAUSE: 3\n\nT26 is ground\nX59 is free", fontsize=16, style=filled, fillcolor=lightyellow];
25 [label="25: quot(s(s(T31)), s(T31), s(s(T31)), X98)\n\nT31 is ground\nX98 is free", fontsize=16, style=filled, fillcolor=lightyellow];
26 [label="26: quot(s(s(T31)), s(T31), s(s(T31)), X98), SCOPE: 6, CLAUSE: 1 | quot(s(s(T31)), s(T31), s(s(T31)), X98), SCOPE: 6, CLAUSE: 2 | quot(s(s(T31)), s(T31), s(s(T31)), X98), SCOPE: 6, CLAUSE: 3\n\nT31 is ground\nX98 is free", fontsize=16, style=filled, fillcolor=lightyellow];
27 [label="27: quot(s(s(T31)), s(T31), s(s(T31)), X98), SCOPE: 6, CLAUSE: 2 | quot(s(s(T31)), s(T31), s(s(T31)), X98), SCOPE: 6, CLAUSE: 3\n\nT31 is ground\nX98 is free", fontsize=16, style=filled, fillcolor=lightyellow];
28 [label="28: quot(s(s(T31)), s(T31), s(s(T31)), X98), SCOPE: 6, CLAUSE: 2\n\nT31 is ground\nX98 is free", fontsize=16, style=filled, fillcolor=lightyellow];
29 [label="29: quot(s(s(T31)), s(T31), s(s(T31)), X98), SCOPE: 6, CLAUSE: 3\n\nT31 is ground\nX98 is free", fontsize=16, style=filled, fillcolor=lightyellow];
30 [label="30: quot(s(T36), T36, s(s(T36)), X137)\n\nT36 is ground\nX137 is free", fontsize=16, style=filled, fillcolor=lightyellow];
31 [label="31: quot(s(T36), T36, s(s(T36)), X137), SCOPE: 7, CLAUSE: 1 | quot(s(T36), T36, s(s(T36)), X137), SCOPE: 7, CLAUSE: 2 | quot(s(T36), T36, s(s(T36)), X137), SCOPE: 7, CLAUSE: 3\n\nT36 is ground\nX137 is free", fontsize=16, style=filled, fillcolor=lightyellow];
32 [label="32: quot(s(T36), T36, s(s(T36)), X137), SCOPE: 7, CLAUSE: 2 | quot(s(T36), T36, s(s(T36)), X137), SCOPE: 7, CLAUSE: 3\n\nT36 is ground\nX137 is free", fontsize=16, style=filled, fillcolor=lightyellow];
33 [label="33: quot(s(T36), T36, s(s(T36)), X137), SCOPE: 7, CLAUSE: 2\n\nT36 is ground\nX137 is free", fontsize=16, style=filled, fillcolor=lightyellow];
34 [label="34: quot(s(T36), T36, s(s(T36)), X137), SCOPE: 7, CLAUSE: 3\n\nT36 is ground\nX137 is free", fontsize=16, style=filled, fillcolor=lightyellow];
35 [label="35: quot(s(T46), T46, s(s(s(T46))), X168)\n\nT46 is ground\nX168 is free", fontsize=16, style=filled, fillcolor=lightyellow];
36 [label="36: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
37 [label="37: quot(s(T46), T46, s(s(s(T46))), X168), SCOPE: 8, CLAUSE: 1 | quot(s(T46), T46, s(s(s(T46))), X168), SCOPE: 8, CLAUSE: 2 | quot(s(T46), T46, s(s(s(T46))), X168), SCOPE: 8, CLAUSE: 3\n\nT46 is ground\nX168 is free", fontsize=16, style=filled, fillcolor=lightyellow];
38 [label="38: quot(s(T46), T46, s(s(s(T46))), X168), SCOPE: 8, CLAUSE: 2 | quot(s(T46), T46, s(s(s(T46))), X168), SCOPE: 8, CLAUSE: 3\n\nT46 is ground\nX168 is free", fontsize=16, style=filled, fillcolor=lightyellow];
39 [label="39: quot(s(T46), T46, s(s(s(T46))), X168), SCOPE: 8, CLAUSE: 2\n\nT46 is ground\nX168 is free", fontsize=16, style=filled, fillcolor=lightyellow];
40 [label="40: quot(s(T46), T46, s(s(s(T46))), X168), SCOPE: 8, CLAUSE: 3\n\nT46 is ground\nX168 is free", fontsize=16, style=filled, fillcolor=lightyellow];
41 [label="41: quot(s(T56), T56, s(s(s(s(T56)))), X199)\n\nT56 is ground\nX199 is free", fontsize=16, style=filled, fillcolor=lightyellow];
42 [label="42: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
43 [label="43: quot(s(T56), T56, s(s(s(s(T56)))), X199), SCOPE: 9, CLAUSE: 1 | quot(s(T56), T56, s(s(s(s(T56)))), X199), SCOPE: 9, CLAUSE: 2 | quot(s(T56), T56, s(s(s(s(T56)))), X199), SCOPE: 9, CLAUSE: 3\n\nT56 is ground\nX199 is free", fontsize=16, style=filled, fillcolor=lightyellow];
44 [label="44: quot(s(T56), T56, s(s(s(s(T56)))), X199), SCOPE: 9, CLAUSE: 2 | quot(s(T56), T56, s(s(s(s(T56)))), X199), SCOPE: 9, CLAUSE: 3\n\nT56 is ground\nX199 is free", fontsize=16, style=filled, fillcolor=lightyellow];
45 [label="45: quot(s(T56), T56, s(s(s(s(T56)))), X199), SCOPE: 9, CLAUSE: 2\n\nT56 is ground\nX199 is free", fontsize=16, style=filled, fillcolor=lightyellow];
46 [label="46: quot(s(T56), T56, s(s(s(s(T56)))), X199), SCOPE: 9, CLAUSE: 3\n\nT56 is ground\nX199 is free", fontsize=16, style=filled, fillcolor=lightyellow];
47 [label="47: quot(s(T66), T66, s(s(s(s(s(T66))))), X230)\n\nT66 is ground\nX230 is free", fontsize=16, style=filled, fillcolor=lightyellow];
48 [label="48: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
49 [label="49: quot(s(T66), T66, s(s(s(s(s(T66))))), X230), SCOPE: 10, CLAUSE: 1 | quot(s(T66), T66, s(s(s(s(s(T66))))), X230), SCOPE: 10, CLAUSE: 2 | quot(s(T66), T66, s(s(s(s(s(T66))))), X230), SCOPE: 10, CLAUSE: 3\n\nT66 is ground\nX230 is free", fontsize=16, style=filled, fillcolor=lightyellow];
50 [label="50: quot(s(T66), T66, s(s(s(s(s(T66))))), X230), SCOPE: 10, CLAUSE: 2 | quot(s(T66), T66, s(s(s(s(s(T66))))), X230), SCOPE: 10, CLAUSE: 3\n\nT66 is ground\nX230 is free", fontsize=16, style=filled, fillcolor=lightyellow];
51 [label="51: quot(s(T66), T66, s(s(s(s(s(T66))))), X230), SCOPE: 10, CLAUSE: 2\n\nT66 is ground\nX230 is free", fontsize=16, style=filled, fillcolor=lightyellow];
52 [label="52: quot(s(T66), T66, s(s(s(s(s(T66))))), X230), SCOPE: 10, CLAUSE: 3\n\nT66 is ground\nX230 is free", fontsize=16, style=filled, fillcolor=lightyellow];
53 [label="53: quot(s(T76), T76, s(s(s(s(s(s(T76)))))), X261)\n\nT76 is ground\nX261 is free", fontsize=16, style=filled, fillcolor=lightyellow];
54 [label="54: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
55 [label="55: quot(s(T76), T76, s(s(s(s(s(s(T76)))))), X261), SCOPE: 11, CLAUSE: 1 | quot(s(T76), T76, s(s(s(s(s(s(T76)))))), X261), SCOPE: 11, CLAUSE: 2 | quot(s(T76), T76, s(s(s(s(s(s(T76)))))), X261), SCOPE: 11, CLAUSE: 3\n\nT76 is ground\nX261 is free", fontsize=16, style=filled, fillcolor=lightyellow];
56 [label="56: quot(s(T76), T76, s(s(s(s(s(s(T76)))))), X261), SCOPE: 11, CLAUSE: 2 | quot(s(T76), T76, s(s(s(s(s(s(T76)))))), X261), SCOPE: 11, CLAUSE: 3\n\nT76 is ground\nX261 is free", fontsize=16, style=filled, fillcolor=lightyellow];
57 [label="57: quot(s(T76), T76, s(s(s(s(s(s(T76)))))), X261), SCOPE: 11, CLAUSE: 2\n\nT76 is ground\nX261 is free", fontsize=16, style=filled, fillcolor=lightyellow];
58 [label="58: quot(s(T76), T76, s(s(s(s(s(s(T76)))))), X261), SCOPE: 11, CLAUSE: 3\n\nT76 is ground\nX261 is free", fontsize=16, style=filled, fillcolor=lightyellow];
59 [label="59: quot(s(T86), T86, s(s(s(s(s(s(s(T86))))))), X292)\n\nT86 is ground\nX292 is free", fontsize=16, style=filled, fillcolor=lightyellow];
60 [label="60: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
61 [label="61: quot(s(T86), T86, s(s(s(s(s(s(s(T86))))))), X292), SCOPE: 12, CLAUSE: 1 | quot(s(T86), T86, s(s(s(s(s(s(s(T86))))))), X292), SCOPE: 12, CLAUSE: 2 | quot(s(T86), T86, s(s(s(s(s(s(s(T86))))))), X292), SCOPE: 12, CLAUSE: 3\n\nT86 is ground\nX292 is free", fontsize=16, style=filled, fillcolor=lightyellow];
62 [label="62: quot(s(T86), T86, s(s(s(s(s(s(s(T86))))))), X292), SCOPE: 12, CLAUSE: 2 | quot(s(T86), T86, s(s(s(s(s(s(s(T86))))))), X292), SCOPE: 12, CLAUSE: 3\n\nT86 is ground\nX292 is free", fontsize=16, style=filled, fillcolor=lightyellow];
63 [label="63: quot(s(T86), T86, s(s(s(s(s(s(s(T86))))))), X292), SCOPE: 12, CLAUSE: 2\n\nT86 is ground\nX292 is free", fontsize=16, style=filled, fillcolor=lightyellow];
64 [label="64: quot(s(T86), T86, s(s(s(s(s(s(s(T86))))))), X292), SCOPE: 12, CLAUSE: 3\n\nT86 is ground\nX292 is free", fontsize=16, style=filled, fillcolor=lightyellow];
65 [label="65: quot(s(T96), T96, s(s(s(s(s(s(s(s(T96)))))))), X323)\n\nT96 is ground\nX323 is free", fontsize=16, style=filled, fillcolor=lightyellow];
66 [label="66: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
67 [label="A: quot(s(T96), T96, s(T97), X323)\n\nT96 is ground\nT97 is ground\nX323 is free", fontsize=16, style=filled, fillcolor=lightyellow];
68 [label="68: quot(s(T96), T96, s(T97), X323), SCOPE: 13, CLAUSE: 1 | quot(s(T96), T96, s(T97), X323), SCOPE: 13, CLAUSE: 2 | quot(s(T96), T96, s(T97), X323), SCOPE: 13, CLAUSE: 3\n\nT96 is ground\nT97 is ground\nX323 is free", fontsize=16, style=filled, fillcolor=lightyellow];
69 [label="69: quot(s(T96), T96, s(T97), X323), SCOPE: 13, CLAUSE: 2 | quot(s(T96), T96, s(T97), X323), SCOPE: 13, CLAUSE: 3\n\nT96 is ground\nT97 is ground\nX323 is free", fontsize=16, style=filled, fillcolor=lightyellow];
70 [label="70: quot(s(T96), T96, s(T97), X323), SCOPE: 13, CLAUSE: 2\n\nT96 is ground\nT97 is ground\nX323 is free", fontsize=16, style=filled, fillcolor=lightyellow];
71 [label="71: quot(s(T96), T96, s(T97), X323), SCOPE: 13, CLAUSE: 3\n\nT96 is ground\nT97 is ground\nX323 is free", fontsize=16, style=filled, fillcolor=lightyellow];
72 [label="72: quot(s(T111), T111, s(T112), X358)\n\nT111 is ground\nT112 is ground\nX358 is free", fontsize=16, style=filled, fillcolor=lightyellow];
73 [label="73: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
74 [label="74: quot(s(0), s(T118), s(T118), X374)\n\nT118 is ground\nX374 is free", fontsize=16, style=filled, fillcolor=lightyellow];
75 [label="75: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
76 [label="76: quot(s(0), s(T118), s(T118), X374), SCOPE: 14, CLAUSE: 1 | quot(s(0), s(T118), s(T118), X374), SCOPE: 14, CLAUSE: 2 | quot(s(0), s(T118), s(T118), X374), SCOPE: 14, CLAUSE: 3\n\nT118 is ground\nX374 is free", fontsize=16, style=filled, fillcolor=lightyellow];
77 [label="77: quot(s(0), s(T118), s(T118), X374), SCOPE: 14, CLAUSE: 2 | quot(s(0), s(T118), s(T118), X374), SCOPE: 14, CLAUSE: 3\n\nT118 is ground\nX374 is free", fontsize=16, style=filled, fillcolor=lightyellow];
78 [label="78: quot(s(0), s(T118), s(T118), X374), SCOPE: 14, CLAUSE: 2\n\nT118 is ground\nX374 is free", fontsize=16, style=filled, fillcolor=lightyellow];
79 [label="79: quot(s(0), s(T118), s(T118), X374), SCOPE: 14, CLAUSE: 3\n\nT118 is ground\nX374 is free", fontsize=16, style=filled, fillcolor=lightyellow];
80 [label="80: quot(0, T127, s(T127), X413)\n\nT127 is ground\nX413 is free", fontsize=16, style=filled, fillcolor=lightyellow];
81 [label="81: quot(0, T127, s(T127), X413), SCOPE: 15, CLAUSE: 1 | quot(0, T127, s(T127), X413), SCOPE: 15, CLAUSE: 2 | quot(0, T127, s(T127), X413), SCOPE: 15, CLAUSE: 3\n\nT127 is ground\nX413 is free", fontsize=16, style=filled, fillcolor=lightyellow];
82 [label="82: quot(0, T127, s(T127), X413), SCOPE: 15, CLAUSE: 1\n\nT127 is ground\nX413 is free", fontsize=16, style=filled, fillcolor=lightyellow];
83 [label="83: quot(0, T127, s(T127), X413), SCOPE: 15, CLAUSE: 2 | quot(0, T127, s(T127), X413), SCOPE: 15, CLAUSE: 3\n\nT127 is ground\nX413 is free", fontsize=16, style=filled, fillcolor=lightyellow];
84 [label="84: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
85 [label="85: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
86 [label="86: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
87 [label="87: quot(0, T127, s(T127), X413), SCOPE: 15, CLAUSE: 3\n\nT127 is ground\nX413 is free", fontsize=16, style=filled, fillcolor=lightyellow];
88 [label="B: quot(0, s(0), s(0), X443)\n\nX443 is free", fontsize=16, style=filled, fillcolor=lightyellow];
89 [label="89: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
90 [label="90: quot(0, s(0), s(0), X443), SCOPE: 16, CLAUSE: 1 | quot(0, s(0), s(0), X443), SCOPE: 16, CLAUSE: 2 | quot(0, s(0), s(0), X443), SCOPE: 16, CLAUSE: 3\n\nX443 is free", fontsize=16, style=filled, fillcolor=lightyellow];
91 [label="91: quot(0, s(0), s(0), X443), SCOPE: 16, CLAUSE: 1\n\nX443 is free", fontsize=16, style=filled, fillcolor=lightyellow];
92 [label="92: quot(0, s(0), s(0), X443), SCOPE: 16, CLAUSE: 2 | quot(0, s(0), s(0), X443), SCOPE: 16, CLAUSE: 3\n\nX443 is free", fontsize=16, style=filled, fillcolor=lightyellow];
93 [label="93: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
94 [label="94: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
95 [label="95: quot(0, s(0), s(0), X443), SCOPE: 16, CLAUSE: 3\n\nX443 is free", fontsize=16, style=filled, fillcolor=lightyellow];
96 [label="96: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
97 [label="97: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
98 [label="98: quot(s(0), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X477)\n\nX477 is free", fontsize=16, style=filled, fillcolor=lightyellow];
99 [label="99: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
100 [label="100: quot(s(0), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X477), SCOPE: 17, CLAUSE: 1 | quot(s(0), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X477), SCOPE: 17, CLAUSE: 2 | quot(s(0), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X477), SCOPE: 17, CLAUSE: 3\n\nX477 is free", fontsize=16, style=filled, fillcolor=lightyellow];
101 [label="101: quot(s(0), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X477), SCOPE: 17, CLAUSE: 2 | quot(s(0), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X477), SCOPE: 17, CLAUSE: 3\n\nX477 is free", fontsize=16, style=filled, fillcolor=lightyellow];
102 [label="102: quot(s(0), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X477), SCOPE: 17, CLAUSE: 2\n\nX477 is free", fontsize=16, style=filled, fillcolor=lightyellow];
103 [label="103: quot(s(0), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X477), SCOPE: 17, CLAUSE: 3\n\nX477 is free", fontsize=16, style=filled, fillcolor=lightyellow];
104 [label="104: quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X512)\n\nX512 is free", fontsize=16, style=filled, fillcolor=lightyellow];
105 [label="105: quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X512), SCOPE: 18, CLAUSE: 1 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X512), SCOPE: 18, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X512), SCOPE: 18, CLAUSE: 3\n\nX512 is free", fontsize=16, style=filled, fillcolor=lightyellow];
106 [label="106: quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X512), SCOPE: 18, CLAUSE: 1\n\nX512 is free", fontsize=16, style=filled, fillcolor=lightyellow];
107 [label="107: quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X512), SCOPE: 18, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X512), SCOPE: 18, CLAUSE: 3\n\nX512 is free", fontsize=16, style=filled, fillcolor=lightyellow];
108 [label="108: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
109 [label="109: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
110 [label="110: quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X512), SCOPE: 18, CLAUSE: 3\n\nX512 is free", fontsize=16, style=filled, fillcolor=lightyellow];
111 [label="111: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
112 [label="112: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
113 [label="113: quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X546)\n\nX546 is free", fontsize=16, style=filled, fillcolor=lightyellow];
114 [label="114: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
115 [label="115: quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X546), SCOPE: 19, CLAUSE: 1 | quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X546), SCOPE: 19, CLAUSE: 2 | quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X546), SCOPE: 19, CLAUSE: 3\n\nX546 is free", fontsize=16, style=filled, fillcolor=lightyellow];
116 [label="116: quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X546), SCOPE: 19, CLAUSE: 2 | quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X546), SCOPE: 19, CLAUSE: 3\n\nX546 is free", fontsize=16, style=filled, fillcolor=lightyellow];
117 [label="117: quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X546), SCOPE: 19, CLAUSE: 2\n\nX546 is free", fontsize=16, style=filled, fillcolor=lightyellow];
118 [label="118: quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X546), SCOPE: 19, CLAUSE: 3\n\nX546 is free", fontsize=16, style=filled, fillcolor=lightyellow];
119 [label="119: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X581)\n\nX581 is free", fontsize=16, style=filled, fillcolor=lightyellow];
120 [label="120: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X581), SCOPE: 20, CLAUSE: 1 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X581), SCOPE: 20, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X581), SCOPE: 20, CLAUSE: 3\n\nX581 is free", fontsize=16, style=filled, fillcolor=lightyellow];
121 [label="121: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X581), SCOPE: 20, CLAUSE: 1\n\nX581 is free", fontsize=16, style=filled, fillcolor=lightyellow];
122 [label="122: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X581), SCOPE: 20, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X581), SCOPE: 20, CLAUSE: 3\n\nX581 is free", fontsize=16, style=filled, fillcolor=lightyellow];
123 [label="123: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
124 [label="124: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
125 [label="125: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X581), SCOPE: 20, CLAUSE: 3\n\nX581 is free", fontsize=16, style=filled, fillcolor=lightyellow];
126 [label="126: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
127 [label="127: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
128 [label="128: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X615)\n\nX615 is free", fontsize=16, style=filled, fillcolor=lightyellow];
129 [label="129: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
130 [label="130: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X615), SCOPE: 21, CLAUSE: 1 | quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X615), SCOPE: 21, CLAUSE: 2 | quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X615), SCOPE: 21, CLAUSE: 3\n\nX615 is free", fontsize=16, style=filled, fillcolor=lightyellow];
131 [label="131: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X615), SCOPE: 21, CLAUSE: 2 | quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X615), SCOPE: 21, CLAUSE: 3\n\nX615 is free", fontsize=16, style=filled, fillcolor=lightyellow];
132 [label="132: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X615), SCOPE: 21, CLAUSE: 2\n\nX615 is free", fontsize=16, style=filled, fillcolor=lightyellow];
133 [label="133: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X615), SCOPE: 21, CLAUSE: 3\n\nX615 is free", fontsize=16, style=filled, fillcolor=lightyellow];
134 [label="134: quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), X650)\n\nX650 is free", fontsize=16, style=filled, fillcolor=lightyellow];
135 [label="135: quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), X650), SCOPE: 22, CLAUSE: 1 | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), X650), SCOPE: 22, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), X650), SCOPE: 22, CLAUSE: 3\n\nX650 is free", fontsize=16, style=filled, fillcolor=lightyellow];
136 [label="136: quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), X650), SCOPE: 22, CLAUSE: 1\n\nX650 is free", fontsize=16, style=filled, fillcolor=lightyellow];
137 [label="137: quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), X650), SCOPE: 22, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), X650), SCOPE: 22, CLAUSE: 3\n\nX650 is free", fontsize=16, style=filled, fillcolor=lightyellow];
138 [label="138: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
139 [label="139: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
140 [label="140: quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), X650), SCOPE: 22, CLAUSE: 3\n\nX650 is free", fontsize=16, style=filled, fillcolor=lightyellow];
141 [label="141: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
142 [label="142: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
143 [label="V: quot(s(0), s(s(s(s(0)))), s(s(s(s(0)))), X684)\n\nX684 is free", fontsize=16, style=filled, fillcolor=lightyellow];
144 [label="144: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
145 [label="145: quot(s(0), s(s(s(s(0)))), s(s(s(s(0)))), X684), SCOPE: 23, CLAUSE: 1 | quot(s(0), s(s(s(s(0)))), s(s(s(s(0)))), X684), SCOPE: 23, CLAUSE: 2 | quot(s(0), s(s(s(s(0)))), s(s(s(s(0)))), X684), SCOPE: 23, CLAUSE: 3\n\nX684 is free", fontsize=16, style=filled, fillcolor=lightyellow];
146 [label="146: quot(s(0), s(s(s(s(0)))), s(s(s(s(0)))), X684), SCOPE: 23, CLAUSE: 2 | quot(s(0), s(s(s(s(0)))), s(s(s(s(0)))), X684), SCOPE: 23, CLAUSE: 3\n\nX684 is free", fontsize=16, style=filled, fillcolor=lightyellow];
147 [label="147: quot(s(0), s(s(s(s(0)))), s(s(s(s(0)))), X684), SCOPE: 23, CLAUSE: 2\n\nX684 is free", fontsize=16, style=filled, fillcolor=lightyellow];
148 [label="148: quot(s(0), s(s(s(s(0)))), s(s(s(s(0)))), X684), SCOPE: 23, CLAUSE: 3\n\nX684 is free", fontsize=16, style=filled, fillcolor=lightyellow];
149 [label="149: quot(0, s(s(s(0))), s(s(s(s(0)))), X719)\n\nX719 is free", fontsize=16, style=filled, fillcolor=lightyellow];
150 [label="150: quot(0, s(s(s(0))), s(s(s(s(0)))), X719), SCOPE: 24, CLAUSE: 1 | quot(0, s(s(s(0))), s(s(s(s(0)))), X719), SCOPE: 24, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(0)))), X719), SCOPE: 24, CLAUSE: 3\n\nX719 is free", fontsize=16, style=filled, fillcolor=lightyellow];
151 [label="151: quot(0, s(s(s(0))), s(s(s(s(0)))), X719), SCOPE: 24, CLAUSE: 1\n\nX719 is free", fontsize=16, style=filled, fillcolor=lightyellow];
152 [label="152: quot(0, s(s(s(0))), s(s(s(s(0)))), X719), SCOPE: 24, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(0)))), X719), SCOPE: 24, CLAUSE: 3\n\nX719 is free", fontsize=16, style=filled, fillcolor=lightyellow];
153 [label="153: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
154 [label="154: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
155 [label="155: quot(0, s(s(s(0))), s(s(s(s(0)))), X719), SCOPE: 24, CLAUSE: 3\n\nX719 is free", fontsize=16, style=filled, fillcolor=lightyellow];
156 [label="156: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
157 [label="157: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
158 [label="Q: quot(s(0), s(s(s(0))), s(s(s(0))), X753)\n\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
159 [label="159: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
160 [label="160: quot(s(0), s(s(s(0))), s(s(s(0))), X753), SCOPE: 25, CLAUSE: 1 | quot(s(0), s(s(s(0))), s(s(s(0))), X753), SCOPE: 25, CLAUSE: 2 | quot(s(0), s(s(s(0))), s(s(s(0))), X753), SCOPE: 25, CLAUSE: 3\n\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
161 [label="161: quot(s(0), s(s(s(0))), s(s(s(0))), X753), SCOPE: 25, CLAUSE: 2 | quot(s(0), s(s(s(0))), s(s(s(0))), X753), SCOPE: 25, CLAUSE: 3\n\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
162 [label="162: quot(s(0), s(s(s(0))), s(s(s(0))), X753), SCOPE: 25, CLAUSE: 2\n\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
163 [label="163: quot(s(0), s(s(s(0))), s(s(s(0))), X753), SCOPE: 25, CLAUSE: 3\n\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
164 [label="164: quot(0, s(s(0)), s(s(s(0))), X788)\n\nX788 is free", fontsize=16, style=filled, fillcolor=lightyellow];
165 [label="165: quot(0, s(s(0)), s(s(s(0))), X788), SCOPE: 26, CLAUSE: 1 | quot(0, s(s(0)), s(s(s(0))), X788), SCOPE: 26, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(0))), X788), SCOPE: 26, CLAUSE: 3\n\nX788 is free", fontsize=16, style=filled, fillcolor=lightyellow];
166 [label="166: quot(0, s(s(0)), s(s(s(0))), X788), SCOPE: 26, CLAUSE: 1\n\nX788 is free", fontsize=16, style=filled, fillcolor=lightyellow];
167 [label="167: quot(0, s(s(0)), s(s(s(0))), X788), SCOPE: 26, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(0))), X788), SCOPE: 26, CLAUSE: 3\n\nX788 is free", fontsize=16, style=filled, fillcolor=lightyellow];
168 [label="168: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
169 [label="169: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
170 [label="170: quot(0, s(s(0)), s(s(s(0))), X788), SCOPE: 26, CLAUSE: 3\n\nX788 is free", fontsize=16, style=filled, fillcolor=lightyellow];
171 [label="171: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
172 [label="172: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
173 [label="M: quot(s(0), s(s(0)), s(s(0)), X822)\n\nX822 is free", fontsize=16, style=filled, fillcolor=lightyellow];
174 [label="174: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
175 [label="175: quot(s(0), s(s(0)), s(s(0)), X822), SCOPE: 27, CLAUSE: 1 | quot(s(0), s(s(0)), s(s(0)), X822), SCOPE: 27, CLAUSE: 2 | quot(s(0), s(s(0)), s(s(0)), X822), SCOPE: 27, CLAUSE: 3\n\nX822 is free", fontsize=16, style=filled, fillcolor=lightyellow];
176 [label="176: quot(s(0), s(s(0)), s(s(0)), X822), SCOPE: 27, CLAUSE: 2 | quot(s(0), s(s(0)), s(s(0)), X822), SCOPE: 27, CLAUSE: 3\n\nX822 is free", fontsize=16, style=filled, fillcolor=lightyellow];
177 [label="177: quot(s(0), s(s(0)), s(s(0)), X822), SCOPE: 27, CLAUSE: 2\n\nX822 is free", fontsize=16, style=filled, fillcolor=lightyellow];
178 [label="178: quot(s(0), s(s(0)), s(s(0)), X822), SCOPE: 27, CLAUSE: 3\n\nX822 is free", fontsize=16, style=filled, fillcolor=lightyellow];
179 [label="179: quot(0, s(0), s(s(0)), X857)\n\nX857 is free", fontsize=16, style=filled, fillcolor=lightyellow];
180 [label="180: quot(0, s(0), s(s(0)), X857), SCOPE: 28, CLAUSE: 1 | quot(0, s(0), s(s(0)), X857), SCOPE: 28, CLAUSE: 2 | quot(0, s(0), s(s(0)), X857), SCOPE: 28, CLAUSE: 3\n\nX857 is free", fontsize=16, style=filled, fillcolor=lightyellow];
181 [label="181: quot(0, s(0), s(s(0)), X857), SCOPE: 28, CLAUSE: 1\n\nX857 is free", fontsize=16, style=filled, fillcolor=lightyellow];
182 [label="182: quot(0, s(0), s(s(0)), X857), SCOPE: 28, CLAUSE: 2 | quot(0, s(0), s(s(0)), X857), SCOPE: 28, CLAUSE: 3\n\nX857 is free", fontsize=16, style=filled, fillcolor=lightyellow];
183 [label="183: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
184 [label="184: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
185 [label="185: quot(0, s(0), s(s(0)), X857), SCOPE: 28, CLAUSE: 3\n\nX857 is free", fontsize=16, style=filled, fillcolor=lightyellow];
186 [label="186: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
187 [label="187: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
188 [label="188: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
189 [label="189: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
190 [label="C: times(T22, s(s(T20)), X35)\n\nT20 is ground\nT22 is ground\nX35 is free", fontsize=16, style=filled, fillcolor=lightyellow];
191 [label="I: neq(s(s(s(T20))), T157)\n\nT20 is ground\nT157 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
192 [label="192: times(T22, s(s(T20)), X35), SCOPE: 29, CLAUSE: 11 | times(T22, s(s(T20)), X35), SCOPE: 29, CLAUSE: 12\n\nT20 is ground\nT22 is ground\nX35 is free", fontsize=16, style=filled, fillcolor=lightyellow];
193 [label="193: times(T22, s(s(T20)), X35), SCOPE: 29, CLAUSE: 11\n\nT20 is ground\nT22 is ground\nX35 is free", fontsize=16, style=filled, fillcolor=lightyellow];
194 [label="194: times(T22, s(s(T20)), X35), SCOPE: 29, CLAUSE: 12\n\nT20 is ground\nT22 is ground\nX35 is free", fontsize=16, style=filled, fillcolor=lightyellow];
195 [label="195: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
196 [label="196: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
197 [label="197: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
198 [label="198: ','(times(T169, s(s(T170)), X907), add(X907, s(s(T170)), X908))\n\nT169 is ground\nT170 is ground\nX908 is free\nX907 is free", fontsize=16, style=filled, fillcolor=lightyellow];
199 [label="199: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
200 [label="200: times(T169, s(s(T170)), X907)\n\nT169 is ground\nT170 is ground\nX907 is free", fontsize=16, style=filled, fillcolor=lightyellow];
201 [label="D: add(T173, s(s(T170)), X908)\n\nT170 is ground\nT173 is ground\nX908 is free", fontsize=16, style=filled, fillcolor=lightyellow];
202 [label="202: add(T173, s(s(T170)), X908), SCOPE: 30, CLAUSE: 13 | add(T173, s(s(T170)), X908), SCOPE: 30, CLAUSE: 14 | add(T173, s(s(T170)), X908), SCOPE: 30, CLAUSE: 15\n\nT170 is ground\nT173 is ground\nX908 is free", fontsize=16, style=filled, fillcolor=lightyellow];
203 [label="203: add(T173, s(s(T170)), X908), SCOPE: 30, CLAUSE: 14 | add(T173, s(s(T170)), X908), SCOPE: 30, CLAUSE: 15\n\nT170 is ground\nT173 is ground\nX908 is free", fontsize=16, style=filled, fillcolor=lightyellow];
204 [label="204: add(T173, s(s(T170)), X908), SCOPE: 30, CLAUSE: 14\n\nT170 is ground\nT173 is ground\nX908 is free", fontsize=16, style=filled, fillcolor=lightyellow];
205 [label="205: add(T173, s(s(T170)), X908), SCOPE: 30, CLAUSE: 15\n\nT170 is ground\nT173 is ground\nX908 is free", fontsize=16, style=filled, fillcolor=lightyellow];
206 [label="206: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
207 [label="207: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
208 [label="208: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
209 [label="209: add(T188, s(s(T189)), X932)\n\nT188 is ground\nT189 is ground\nX932 is free", fontsize=16, style=filled, fillcolor=lightyellow];
210 [label="210: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
211 [label="211: neq(s(s(s(T20))), T157), SCOPE: 31, CLAUSE: 8 | neq(s(s(s(T20))), T157), SCOPE: 31, CLAUSE: 9 | neq(s(s(s(T20))), T157), SCOPE: 31, CLAUSE: 10\n\nT20 is ground\nT157 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
212 [label="212: neq(s(s(s(T20))), T157), SCOPE: 31, CLAUSE: 8\n\nT20 is ground\nT157 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
213 [label="213: neq(s(s(s(T20))), T157), SCOPE: 31, CLAUSE: 9 | neq(s(s(s(T20))), T157), SCOPE: 31, CLAUSE: 10\n\nT20 is ground\nT157 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
214 [label="214: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
215 [label="215: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
216 [label="216: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
217 [label="217: neq(s(s(s(T20))), T157), SCOPE: 31, CLAUSE: 10\n\nT20 is ground\nT157 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
218 [label="218: neq(s(s(T203)), T204)\n\nT203 is ground\nT204 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
219 [label="219: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
220 [label="220: neq(s(s(T203)), T204), SCOPE: 32, CLAUSE: 8 | neq(s(s(T203)), T204), SCOPE: 32, CLAUSE: 9 | neq(s(s(T203)), T204), SCOPE: 32, CLAUSE: 10\n\nT203 is ground\nT204 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
221 [label="221: neq(s(s(T203)), T204), SCOPE: 32, CLAUSE: 8\n\nT203 is ground\nT204 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
222 [label="222: neq(s(s(T203)), T204), SCOPE: 32, CLAUSE: 9 | neq(s(s(T203)), T204), SCOPE: 32, CLAUSE: 10\n\nT203 is ground\nT204 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
223 [label="223: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
224 [label="224: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
225 [label="225: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
226 [label="226: neq(s(s(T203)), T204), SCOPE: 32, CLAUSE: 10\n\nT203 is ground\nT204 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
227 [label="J: neq(s(T216), T217)\n\nT216 is ground\nT217 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
228 [label="228: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
229 [label="229: neq(s(T216), T217), SCOPE: 33, CLAUSE: 8 | neq(s(T216), T217), SCOPE: 33, CLAUSE: 9 | neq(s(T216), T217), SCOPE: 33, CLAUSE: 10\n\nT216 is ground\nT217 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
230 [label="230: neq(s(T216), T217), SCOPE: 33, CLAUSE: 8\n\nT216 is ground\nT217 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
231 [label="231: neq(s(T216), T217), SCOPE: 33, CLAUSE: 9 | neq(s(T216), T217), SCOPE: 33, CLAUSE: 10\n\nT216 is ground\nT217 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
232 [label="232: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
233 [label="233: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
234 [label="234: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
235 [label="235: neq(s(T216), T217), SCOPE: 33, CLAUSE: 10\n\nT216 is ground\nT217 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
236 [label="E: neq(T229, T230)\n\nT229 is ground\nT230 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
237 [label="237: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
238 [label="238: neq(T229, T230), SCOPE: 34, CLAUSE: 8 | neq(T229, T230), SCOPE: 34, CLAUSE: 9 | neq(T229, T230), SCOPE: 34, CLAUSE: 10\n\nT229 is ground\nT230 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
239 [label="239: neq(T229, T230), SCOPE: 34, CLAUSE: 8\n\nT229 is ground\nT230 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
240 [label="240: neq(T229, T230), SCOPE: 34, CLAUSE: 9 | neq(T229, T230), SCOPE: 34, CLAUSE: 10\n\nT229 is ground\nT230 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
241 [label="241: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
242 [label="242: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
243 [label="243: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
244 [label="244: neq(T229, T230), SCOPE: 34, CLAUSE: 9\n\nT229 is ground\nT230 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
245 [label="245: neq(T229, T230), SCOPE: 34, CLAUSE: 10\n\nT229 is ground\nT230 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
246 [label="246: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
247 [label="247: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
248 [label="248: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
249 [label="249: neq(T247, T248)\n\nT247 is ground\nT248 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
250 [label="250: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
251 [label="251: pr(s(s(s(T14))), s(T14)), SCOPE: 35, CLAUSE: 5 | pr(s(s(s(T14))), s(T14)), SCOPE: 35, CLAUSE: 6\n\nT14 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
252 [label="252: pr(s(s(s(T14))), s(T14)), SCOPE: 35, CLAUSE: 5\n\nT14 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
253 [label="253: pr(s(s(s(T14))), s(T14)), SCOPE: 35, CLAUSE: 6\n\nT14 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
254 [label="254: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
255 [label="255: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
256 [label="256: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
257 [label="257: ','(not_divides(s(s(T263)), s(s(s(s(T263))))), pr(s(s(s(s(T263)))), s(T263)))\n\nT263 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
258 [label="258: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
259 [label="N12: not_divides(s(s(T263)), s(s(s(s(T263)))))\n\nT263 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
260 [label="260: pr(s(s(s(s(T263)))), s(T263))\n\nT263 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
261 [label="261: not_divides(s(s(T263)), s(s(s(s(T263))))), SCOPE: 36, CLAUSE: 7\n\nT263 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
262 [label="262: ','(div(s(s(s(s(T269)))), s(s(T269)), X1030), ','(times(X1030, s(s(T269)), X1031), neq(s(s(s(s(T269)))), X1031)))\n\nT269 is ground\nX1030 is free\nX1031 is free", fontsize=16, style=filled, fillcolor=lightyellow];
263 [label="N13: div(s(s(s(s(T269)))), s(s(T269)), X1030)\n\nT269 is ground\nX1030 is free", fontsize=16, style=filled, fillcolor=lightyellow];
264 [label="264: ','(times(T271, s(s(T269)), X1031), neq(s(s(s(s(T269)))), X1031))\n\nT269 is ground\nT271 is ground\nX1031 is free", fontsize=16, style=filled, fillcolor=lightyellow];
265 [label="265: div(s(s(s(s(T269)))), s(s(T269)), X1030), SCOPE: 37, CLAUSE: 0\n\nT269 is ground\nX1030 is free", fontsize=16, style=filled, fillcolor=lightyellow];
266 [label="266: quot(s(s(s(s(T275)))), s(s(T275)), s(s(T275)), X1055)\n\nT275 is ground\nX1055 is free", fontsize=16, style=filled, fillcolor=lightyellow];
267 [label="267: quot(s(s(s(s(T275)))), s(s(T275)), s(s(T275)), X1055), SCOPE: 38, CLAUSE: 1 | quot(s(s(s(s(T275)))), s(s(T275)), s(s(T275)), X1055), SCOPE: 38, CLAUSE: 2 | quot(s(s(s(s(T275)))), s(s(T275)), s(s(T275)), X1055), SCOPE: 38, CLAUSE: 3\n\nT275 is ground\nX1055 is free", fontsize=16, style=filled, fillcolor=lightyellow];
268 [label="268: quot(s(s(s(s(T275)))), s(s(T275)), s(s(T275)), X1055), SCOPE: 38, CLAUSE: 2 | quot(s(s(s(s(T275)))), s(s(T275)), s(s(T275)), X1055), SCOPE: 38, CLAUSE: 3\n\nT275 is ground\nX1055 is free", fontsize=16, style=filled, fillcolor=lightyellow];
269 [label="269: quot(s(s(s(s(T275)))), s(s(T275)), s(s(T275)), X1055), SCOPE: 38, CLAUSE: 2\n\nT275 is ground\nX1055 is free", fontsize=16, style=filled, fillcolor=lightyellow];
270 [label="270: quot(s(s(s(s(T275)))), s(s(T275)), s(s(T275)), X1055), SCOPE: 38, CLAUSE: 3\n\nT275 is ground\nX1055 is free", fontsize=16, style=filled, fillcolor=lightyellow];
271 [label="271: quot(s(s(s(T280))), s(T280), s(s(T280)), X1094)\n\nT280 is ground\nX1094 is free", fontsize=16, style=filled, fillcolor=lightyellow];
272 [label="272: quot(s(s(s(T280))), s(T280), s(s(T280)), X1094), SCOPE: 39, CLAUSE: 1 | quot(s(s(s(T280))), s(T280), s(s(T280)), X1094), SCOPE: 39, CLAUSE: 2 | quot(s(s(s(T280))), s(T280), s(s(T280)), X1094), SCOPE: 39, CLAUSE: 3\n\nT280 is ground\nX1094 is free", fontsize=16, style=filled, fillcolor=lightyellow];
273 [label="273: quot(s(s(s(T280))), s(T280), s(s(T280)), X1094), SCOPE: 39, CLAUSE: 2 | quot(s(s(s(T280))), s(T280), s(s(T280)), X1094), SCOPE: 39, CLAUSE: 3\n\nT280 is ground\nX1094 is free", fontsize=16, style=filled, fillcolor=lightyellow];
274 [label="274: quot(s(s(s(T280))), s(T280), s(s(T280)), X1094), SCOPE: 39, CLAUSE: 2\n\nT280 is ground\nX1094 is free", fontsize=16, style=filled, fillcolor=lightyellow];
275 [label="275: quot(s(s(s(T280))), s(T280), s(s(T280)), X1094), SCOPE: 39, CLAUSE: 3\n\nT280 is ground\nX1094 is free", fontsize=16, style=filled, fillcolor=lightyellow];
276 [label="276: quot(s(s(T285)), T285, s(s(T285)), X1133)\n\nT285 is ground\nX1133 is free", fontsize=16, style=filled, fillcolor=lightyellow];
277 [label="277: quot(s(s(T285)), T285, s(s(T285)), X1133), SCOPE: 40, CLAUSE: 1 | quot(s(s(T285)), T285, s(s(T285)), X1133), SCOPE: 40, CLAUSE: 2 | quot(s(s(T285)), T285, s(s(T285)), X1133), SCOPE: 40, CLAUSE: 3\n\nT285 is ground\nX1133 is free", fontsize=16, style=filled, fillcolor=lightyellow];
278 [label="278: quot(s(s(T285)), T285, s(s(T285)), X1133), SCOPE: 40, CLAUSE: 2 | quot(s(s(T285)), T285, s(s(T285)), X1133), SCOPE: 40, CLAUSE: 3\n\nT285 is ground\nX1133 is free", fontsize=16, style=filled, fillcolor=lightyellow];
279 [label="279: quot(s(s(T285)), T285, s(s(T285)), X1133), SCOPE: 40, CLAUSE: 2\n\nT285 is ground\nX1133 is free", fontsize=16, style=filled, fillcolor=lightyellow];
280 [label="280: quot(s(s(T285)), T285, s(s(T285)), X1133), SCOPE: 40, CLAUSE: 3\n\nT285 is ground\nX1133 is free", fontsize=16, style=filled, fillcolor=lightyellow];
281 [label="281: quot(s(s(T295)), T295, s(s(s(T295))), X1164)\n\nT295 is ground\nX1164 is free", fontsize=16, style=filled, fillcolor=lightyellow];
282 [label="282: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
283 [label="283: quot(s(s(T295)), T295, s(s(s(T295))), X1164), SCOPE: 41, CLAUSE: 1 | quot(s(s(T295)), T295, s(s(s(T295))), X1164), SCOPE: 41, CLAUSE: 2 | quot(s(s(T295)), T295, s(s(s(T295))), X1164), SCOPE: 41, CLAUSE: 3\n\nT295 is ground\nX1164 is free", fontsize=16, style=filled, fillcolor=lightyellow];
284 [label="284: quot(s(s(T295)), T295, s(s(s(T295))), X1164), SCOPE: 41, CLAUSE: 2 | quot(s(s(T295)), T295, s(s(s(T295))), X1164), SCOPE: 41, CLAUSE: 3\n\nT295 is ground\nX1164 is free", fontsize=16, style=filled, fillcolor=lightyellow];
285 [label="285: quot(s(s(T295)), T295, s(s(s(T295))), X1164), SCOPE: 41, CLAUSE: 2\n\nT295 is ground\nX1164 is free", fontsize=16, style=filled, fillcolor=lightyellow];
286 [label="286: quot(s(s(T295)), T295, s(s(s(T295))), X1164), SCOPE: 41, CLAUSE: 3\n\nT295 is ground\nX1164 is free", fontsize=16, style=filled, fillcolor=lightyellow];
287 [label="287: quot(s(s(T305)), T305, s(s(s(s(T305)))), X1195)\n\nT305 is ground\nX1195 is free", fontsize=16, style=filled, fillcolor=lightyellow];
288 [label="288: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
289 [label="289: quot(s(s(T305)), T305, s(s(s(s(T305)))), X1195), SCOPE: 42, CLAUSE: 1 | quot(s(s(T305)), T305, s(s(s(s(T305)))), X1195), SCOPE: 42, CLAUSE: 2 | quot(s(s(T305)), T305, s(s(s(s(T305)))), X1195), SCOPE: 42, CLAUSE: 3\n\nT305 is ground\nX1195 is free", fontsize=16, style=filled, fillcolor=lightyellow];
290 [label="290: quot(s(s(T305)), T305, s(s(s(s(T305)))), X1195), SCOPE: 42, CLAUSE: 2 | quot(s(s(T305)), T305, s(s(s(s(T305)))), X1195), SCOPE: 42, CLAUSE: 3\n\nT305 is ground\nX1195 is free", fontsize=16, style=filled, fillcolor=lightyellow];
291 [label="291: quot(s(s(T305)), T305, s(s(s(s(T305)))), X1195), SCOPE: 42, CLAUSE: 2\n\nT305 is ground\nX1195 is free", fontsize=16, style=filled, fillcolor=lightyellow];
292 [label="292: quot(s(s(T305)), T305, s(s(s(s(T305)))), X1195), SCOPE: 42, CLAUSE: 3\n\nT305 is ground\nX1195 is free", fontsize=16, style=filled, fillcolor=lightyellow];
293 [label="293: quot(s(s(T315)), T315, s(s(s(s(s(T315))))), X1226)\n\nT315 is ground\nX1226 is free", fontsize=16, style=filled, fillcolor=lightyellow];
294 [label="294: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
295 [label="295: quot(s(s(T315)), T315, s(s(s(s(s(T315))))), X1226), SCOPE: 43, CLAUSE: 1 | quot(s(s(T315)), T315, s(s(s(s(s(T315))))), X1226), SCOPE: 43, CLAUSE: 2 | quot(s(s(T315)), T315, s(s(s(s(s(T315))))), X1226), SCOPE: 43, CLAUSE: 3\n\nT315 is ground\nX1226 is free", fontsize=16, style=filled, fillcolor=lightyellow];
296 [label="296: quot(s(s(T315)), T315, s(s(s(s(s(T315))))), X1226), SCOPE: 43, CLAUSE: 2 | quot(s(s(T315)), T315, s(s(s(s(s(T315))))), X1226), SCOPE: 43, CLAUSE: 3\n\nT315 is ground\nX1226 is free", fontsize=16, style=filled, fillcolor=lightyellow];
297 [label="297: quot(s(s(T315)), T315, s(s(s(s(s(T315))))), X1226), SCOPE: 43, CLAUSE: 2\n\nT315 is ground\nX1226 is free", fontsize=16, style=filled, fillcolor=lightyellow];
298 [label="298: quot(s(s(T315)), T315, s(s(s(s(s(T315))))), X1226), SCOPE: 43, CLAUSE: 3\n\nT315 is ground\nX1226 is free", fontsize=16, style=filled, fillcolor=lightyellow];
299 [label="299: quot(s(s(T325)), T325, s(s(s(s(s(s(T325)))))), X1257)\n\nT325 is ground\nX1257 is free", fontsize=16, style=filled, fillcolor=lightyellow];
300 [label="300: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
301 [label="301: quot(s(s(T325)), T325, s(s(s(s(s(s(T325)))))), X1257), SCOPE: 44, CLAUSE: 1 | quot(s(s(T325)), T325, s(s(s(s(s(s(T325)))))), X1257), SCOPE: 44, CLAUSE: 2 | quot(s(s(T325)), T325, s(s(s(s(s(s(T325)))))), X1257), SCOPE: 44, CLAUSE: 3\n\nT325 is ground\nX1257 is free", fontsize=16, style=filled, fillcolor=lightyellow];
302 [label="302: quot(s(s(T325)), T325, s(s(s(s(s(s(T325)))))), X1257), SCOPE: 44, CLAUSE: 2 | quot(s(s(T325)), T325, s(s(s(s(s(s(T325)))))), X1257), SCOPE: 44, CLAUSE: 3\n\nT325 is ground\nX1257 is free", fontsize=16, style=filled, fillcolor=lightyellow];
303 [label="303: quot(s(s(T325)), T325, s(s(s(s(s(s(T325)))))), X1257), SCOPE: 44, CLAUSE: 2\n\nT325 is ground\nX1257 is free", fontsize=16, style=filled, fillcolor=lightyellow];
304 [label="304: quot(s(s(T325)), T325, s(s(s(s(s(s(T325)))))), X1257), SCOPE: 44, CLAUSE: 3\n\nT325 is ground\nX1257 is free", fontsize=16, style=filled, fillcolor=lightyellow];
305 [label="305: quot(s(s(T335)), T335, s(s(s(s(s(s(s(T335))))))), X1288)\n\nT335 is ground\nX1288 is free", fontsize=16, style=filled, fillcolor=lightyellow];
306 [label="306: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
307 [label="307: quot(s(s(T335)), T335, s(s(s(s(s(s(s(T335))))))), X1288), SCOPE: 45, CLAUSE: 1 | quot(s(s(T335)), T335, s(s(s(s(s(s(s(T335))))))), X1288), SCOPE: 45, CLAUSE: 2 | quot(s(s(T335)), T335, s(s(s(s(s(s(s(T335))))))), X1288), SCOPE: 45, CLAUSE: 3\n\nT335 is ground\nX1288 is free", fontsize=16, style=filled, fillcolor=lightyellow];
308 [label="308: quot(s(s(T335)), T335, s(s(s(s(s(s(s(T335))))))), X1288), SCOPE: 45, CLAUSE: 2 | quot(s(s(T335)), T335, s(s(s(s(s(s(s(T335))))))), X1288), SCOPE: 45, CLAUSE: 3\n\nT335 is ground\nX1288 is free", fontsize=16, style=filled, fillcolor=lightyellow];
309 [label="309: quot(s(s(T335)), T335, s(s(s(s(s(s(s(T335))))))), X1288), SCOPE: 45, CLAUSE: 2\n\nT335 is ground\nX1288 is free", fontsize=16, style=filled, fillcolor=lightyellow];
310 [label="310: quot(s(s(T335)), T335, s(s(s(s(s(s(s(T335))))))), X1288), SCOPE: 45, CLAUSE: 3\n\nT335 is ground\nX1288 is free", fontsize=16, style=filled, fillcolor=lightyellow];
311 [label="311: quot(s(s(T345)), T345, s(s(s(s(s(s(s(s(T345)))))))), X1319)\n\nT345 is ground\nX1319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
312 [label="312: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
313 [label="F: quot(s(s(T345)), T345, s(T346), X1319)\n\nT345 is ground\nT346 is ground\nX1319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
314 [label="314: quot(s(s(T345)), T345, s(T346), X1319), SCOPE: 46, CLAUSE: 1 | quot(s(s(T345)), T345, s(T346), X1319), SCOPE: 46, CLAUSE: 2 | quot(s(s(T345)), T345, s(T346), X1319), SCOPE: 46, CLAUSE: 3\n\nT345 is ground\nT346 is ground\nX1319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
315 [label="315: quot(s(s(T345)), T345, s(T346), X1319), SCOPE: 46, CLAUSE: 2 | quot(s(s(T345)), T345, s(T346), X1319), SCOPE: 46, CLAUSE: 3\n\nT345 is ground\nT346 is ground\nX1319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
316 [label="316: quot(s(s(T345)), T345, s(T346), X1319), SCOPE: 46, CLAUSE: 2\n\nT345 is ground\nT346 is ground\nX1319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
317 [label="317: quot(s(s(T345)), T345, s(T346), X1319), SCOPE: 46, CLAUSE: 3\n\nT345 is ground\nT346 is ground\nX1319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
318 [label="318: quot(s(s(T360)), T360, s(T361), X1354)\n\nT360 is ground\nT361 is ground\nX1354 is free", fontsize=16, style=filled, fillcolor=lightyellow];
319 [label="319: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
320 [label="320: quot(s(s(0)), s(T367), s(T367), X1370)\n\nT367 is ground\nX1370 is free", fontsize=16, style=filled, fillcolor=lightyellow];
321 [label="321: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
322 [label="322: quot(s(s(0)), s(T367), s(T367), X1370), SCOPE: 47, CLAUSE: 1 | quot(s(s(0)), s(T367), s(T367), X1370), SCOPE: 47, CLAUSE: 2 | quot(s(s(0)), s(T367), s(T367), X1370), SCOPE: 47, CLAUSE: 3\n\nT367 is ground\nX1370 is free", fontsize=16, style=filled, fillcolor=lightyellow];
323 [label="323: quot(s(s(0)), s(T367), s(T367), X1370), SCOPE: 47, CLAUSE: 2 | quot(s(s(0)), s(T367), s(T367), X1370), SCOPE: 47, CLAUSE: 3\n\nT367 is ground\nX1370 is free", fontsize=16, style=filled, fillcolor=lightyellow];
324 [label="324: quot(s(s(0)), s(T367), s(T367), X1370), SCOPE: 47, CLAUSE: 2\n\nT367 is ground\nX1370 is free", fontsize=16, style=filled, fillcolor=lightyellow];
325 [label="325: quot(s(s(0)), s(T367), s(T367), X1370), SCOPE: 47, CLAUSE: 3\n\nT367 is ground\nX1370 is free", fontsize=16, style=filled, fillcolor=lightyellow];
326 [label="326: quot(s(0), T372, s(T372), X1409)\n\nT372 is ground\nX1409 is free", fontsize=16, style=filled, fillcolor=lightyellow];
327 [label="327: quot(s(0), T372, s(T372), X1409), SCOPE: 48, CLAUSE: 1 | quot(s(0), T372, s(T372), X1409), SCOPE: 48, CLAUSE: 2 | quot(s(0), T372, s(T372), X1409), SCOPE: 48, CLAUSE: 3\n\nT372 is ground\nX1409 is free", fontsize=16, style=filled, fillcolor=lightyellow];
328 [label="328: quot(s(0), T372, s(T372), X1409), SCOPE: 48, CLAUSE: 2 | quot(s(0), T372, s(T372), X1409), SCOPE: 48, CLAUSE: 3\n\nT372 is ground\nX1409 is free", fontsize=16, style=filled, fillcolor=lightyellow];
329 [label="329: quot(s(0), T372, s(T372), X1409), SCOPE: 48, CLAUSE: 2\n\nT372 is ground\nX1409 is free", fontsize=16, style=filled, fillcolor=lightyellow];
330 [label="330: quot(s(0), T372, s(T372), X1409), SCOPE: 48, CLAUSE: 3\n\nT372 is ground\nX1409 is free", fontsize=16, style=filled, fillcolor=lightyellow];
331 [label="331: quot(0, T377, s(s(T377)), X1440)\n\nT377 is ground\nX1440 is free", fontsize=16, style=filled, fillcolor=lightyellow];
332 [label="332: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
333 [label="333: quot(0, T377, s(s(T377)), X1440), SCOPE: 49, CLAUSE: 1 | quot(0, T377, s(s(T377)), X1440), SCOPE: 49, CLAUSE: 2 | quot(0, T377, s(s(T377)), X1440), SCOPE: 49, CLAUSE: 3\n\nT377 is ground\nX1440 is free", fontsize=16, style=filled, fillcolor=lightyellow];
334 [label="334: quot(0, T377, s(s(T377)), X1440), SCOPE: 49, CLAUSE: 1\n\nT377 is ground\nX1440 is free", fontsize=16, style=filled, fillcolor=lightyellow];
335 [label="335: quot(0, T377, s(s(T377)), X1440), SCOPE: 49, CLAUSE: 2 | quot(0, T377, s(s(T377)), X1440), SCOPE: 49, CLAUSE: 3\n\nT377 is ground\nX1440 is free", fontsize=16, style=filled, fillcolor=lightyellow];
336 [label="336: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
337 [label="337: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
338 [label="338: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
339 [label="339: quot(0, T377, s(s(T377)), X1440), SCOPE: 49, CLAUSE: 3\n\nT377 is ground\nX1440 is free", fontsize=16, style=filled, fillcolor=lightyellow];
340 [label="G: quot(0, s(s(0)), s(s(0)), X1470)\n\nX1470 is free", fontsize=16, style=filled, fillcolor=lightyellow];
341 [label="341: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
342 [label="342: quot(0, s(s(0)), s(s(0)), X1470), SCOPE: 50, CLAUSE: 1 | quot(0, s(s(0)), s(s(0)), X1470), SCOPE: 50, CLAUSE: 2 | quot(0, s(s(0)), s(s(0)), X1470), SCOPE: 50, CLAUSE: 3\n\nX1470 is free", fontsize=16, style=filled, fillcolor=lightyellow];
343 [label="343: quot(0, s(s(0)), s(s(0)), X1470), SCOPE: 50, CLAUSE: 1\n\nX1470 is free", fontsize=16, style=filled, fillcolor=lightyellow];
344 [label="344: quot(0, s(s(0)), s(s(0)), X1470), SCOPE: 50, CLAUSE: 2 | quot(0, s(s(0)), s(s(0)), X1470), SCOPE: 50, CLAUSE: 3\n\nX1470 is free", fontsize=16, style=filled, fillcolor=lightyellow];
345 [label="345: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
346 [label="346: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
347 [label="347: quot(0, s(s(0)), s(s(0)), X1470), SCOPE: 50, CLAUSE: 3\n\nX1470 is free", fontsize=16, style=filled, fillcolor=lightyellow];
348 [label="348: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
349 [label="H: quot(s(0), s(0), s(0), X1501)\n\nX1501 is free", fontsize=16, style=filled, fillcolor=lightyellow];
350 [label="350: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
351 [label="351: quot(s(0), s(0), s(0), X1501), SCOPE: 51, CLAUSE: 1 | quot(s(0), s(0), s(0), X1501), SCOPE: 51, CLAUSE: 2 | quot(s(0), s(0), s(0), X1501), SCOPE: 51, CLAUSE: 3\n\nX1501 is free", fontsize=16, style=filled, fillcolor=lightyellow];
352 [label="352: quot(s(0), s(0), s(0), X1501), SCOPE: 51, CLAUSE: 2 | quot(s(0), s(0), s(0), X1501), SCOPE: 51, CLAUSE: 3\n\nX1501 is free", fontsize=16, style=filled, fillcolor=lightyellow];
353 [label="353: quot(s(0), s(0), s(0), X1501), SCOPE: 51, CLAUSE: 2\n\nX1501 is free", fontsize=16, style=filled, fillcolor=lightyellow];
354 [label="354: quot(s(0), s(0), s(0), X1501), SCOPE: 51, CLAUSE: 3\n\nX1501 is free", fontsize=16, style=filled, fillcolor=lightyellow];
355 [label="355: quot(0, 0, s(0), X1540)\n\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
356 [label="356: quot(0, 0, s(0), X1540), SCOPE: 52, CLAUSE: 1 | quot(0, 0, s(0), X1540), SCOPE: 52, CLAUSE: 2 | quot(0, 0, s(0), X1540), SCOPE: 52, CLAUSE: 3\n\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
357 [label="357: quot(0, 0, s(0), X1540), SCOPE: 52, CLAUSE: 2 | quot(0, 0, s(0), X1540), SCOPE: 52, CLAUSE: 3\n\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
358 [label="358: quot(0, 0, s(0), X1540), SCOPE: 52, CLAUSE: 3\n\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
359 [label="359: quot(0, s(0), s(0), X1564)\n\nX1564 is free", fontsize=16, style=filled, fillcolor=lightyellow];
360 [label="360: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
361 [label="361: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
362 [label="362: quot(s(s(0)), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X1584)\n\nX1584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
363 [label="363: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
364 [label="364: quot(s(s(0)), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X1584), SCOPE: 53, CLAUSE: 1 | quot(s(s(0)), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X1584), SCOPE: 53, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X1584), SCOPE: 53, CLAUSE: 3\n\nX1584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
365 [label="365: quot(s(s(0)), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X1584), SCOPE: 53, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X1584), SCOPE: 53, CLAUSE: 3\n\nX1584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
366 [label="366: quot(s(s(0)), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X1584), SCOPE: 53, CLAUSE: 2\n\nX1584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
367 [label="367: quot(s(s(0)), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X1584), SCOPE: 53, CLAUSE: 3\n\nX1584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
368 [label="368: quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X1623)\n\nX1623 is free", fontsize=16, style=filled, fillcolor=lightyellow];
369 [label="369: quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X1623), SCOPE: 54, CLAUSE: 1 | quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X1623), SCOPE: 54, CLAUSE: 2 | quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X1623), SCOPE: 54, CLAUSE: 3\n\nX1623 is free", fontsize=16, style=filled, fillcolor=lightyellow];
370 [label="370: quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X1623), SCOPE: 54, CLAUSE: 2 | quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X1623), SCOPE: 54, CLAUSE: 3\n\nX1623 is free", fontsize=16, style=filled, fillcolor=lightyellow];
371 [label="371: quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X1623), SCOPE: 54, CLAUSE: 2\n\nX1623 is free", fontsize=16, style=filled, fillcolor=lightyellow];
372 [label="372: quot(s(0), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X1623), SCOPE: 54, CLAUSE: 3\n\nX1623 is free", fontsize=16, style=filled, fillcolor=lightyellow];
373 [label="373: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X1658)\n\nX1658 is free", fontsize=16, style=filled, fillcolor=lightyellow];
374 [label="374: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X1658), SCOPE: 55, CLAUSE: 1 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X1658), SCOPE: 55, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X1658), SCOPE: 55, CLAUSE: 3\n\nX1658 is free", fontsize=16, style=filled, fillcolor=lightyellow];
375 [label="375: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X1658), SCOPE: 55, CLAUSE: 1\n\nX1658 is free", fontsize=16, style=filled, fillcolor=lightyellow];
376 [label="376: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X1658), SCOPE: 55, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X1658), SCOPE: 55, CLAUSE: 3\n\nX1658 is free", fontsize=16, style=filled, fillcolor=lightyellow];
377 [label="377: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
378 [label="378: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
379 [label="379: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X1658), SCOPE: 55, CLAUSE: 3\n\nX1658 is free", fontsize=16, style=filled, fillcolor=lightyellow];
380 [label="380: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
381 [label="381: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
382 [label="382: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
383 [label="383: quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1695)\n\nX1695 is free", fontsize=16, style=filled, fillcolor=lightyellow];
384 [label="384: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
385 [label="385: quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1695), SCOPE: 56, CLAUSE: 1 | quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1695), SCOPE: 56, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1695), SCOPE: 56, CLAUSE: 3\n\nX1695 is free", fontsize=16, style=filled, fillcolor=lightyellow];
386 [label="386: quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1695), SCOPE: 56, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1695), SCOPE: 56, CLAUSE: 3\n\nX1695 is free", fontsize=16, style=filled, fillcolor=lightyellow];
387 [label="387: quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1695), SCOPE: 56, CLAUSE: 2\n\nX1695 is free", fontsize=16, style=filled, fillcolor=lightyellow];
388 [label="388: quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X1695), SCOPE: 56, CLAUSE: 3\n\nX1695 is free", fontsize=16, style=filled, fillcolor=lightyellow];
389 [label="389: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X1734)\n\nX1734 is free", fontsize=16, style=filled, fillcolor=lightyellow];
390 [label="390: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X1734), SCOPE: 57, CLAUSE: 1 | quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X1734), SCOPE: 57, CLAUSE: 2 | quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X1734), SCOPE: 57, CLAUSE: 3\n\nX1734 is free", fontsize=16, style=filled, fillcolor=lightyellow];
391 [label="391: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X1734), SCOPE: 57, CLAUSE: 2 | quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X1734), SCOPE: 57, CLAUSE: 3\n\nX1734 is free", fontsize=16, style=filled, fillcolor=lightyellow];
392 [label="392: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X1734), SCOPE: 57, CLAUSE: 2\n\nX1734 is free", fontsize=16, style=filled, fillcolor=lightyellow];
393 [label="393: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X1734), SCOPE: 57, CLAUSE: 3\n\nX1734 is free", fontsize=16, style=filled, fillcolor=lightyellow];
394 [label="394: quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X1769)\n\nX1769 is free", fontsize=16, style=filled, fillcolor=lightyellow];
395 [label="395: quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X1769), SCOPE: 58, CLAUSE: 1 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X1769), SCOPE: 58, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X1769), SCOPE: 58, CLAUSE: 3\n\nX1769 is free", fontsize=16, style=filled, fillcolor=lightyellow];
396 [label="396: quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X1769), SCOPE: 58, CLAUSE: 1\n\nX1769 is free", fontsize=16, style=filled, fillcolor=lightyellow];
397 [label="397: quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X1769), SCOPE: 58, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X1769), SCOPE: 58, CLAUSE: 3\n\nX1769 is free", fontsize=16, style=filled, fillcolor=lightyellow];
398 [label="398: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
399 [label="399: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
400 [label="400: quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X1769), SCOPE: 58, CLAUSE: 3\n\nX1769 is free", fontsize=16, style=filled, fillcolor=lightyellow];
401 [label="401: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
402 [label="402: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
403 [label="403: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
404 [label="404: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1806)\n\nX1806 is free", fontsize=16, style=filled, fillcolor=lightyellow];
405 [label="405: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
406 [label="406: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1806), SCOPE: 59, CLAUSE: 1 | quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1806), SCOPE: 59, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1806), SCOPE: 59, CLAUSE: 3\n\nX1806 is free", fontsize=16, style=filled, fillcolor=lightyellow];
407 [label="407: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1806), SCOPE: 59, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1806), SCOPE: 59, CLAUSE: 3\n\nX1806 is free", fontsize=16, style=filled, fillcolor=lightyellow];
408 [label="408: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1806), SCOPE: 59, CLAUSE: 2\n\nX1806 is free", fontsize=16, style=filled, fillcolor=lightyellow];
409 [label="409: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1806), SCOPE: 59, CLAUSE: 3\n\nX1806 is free", fontsize=16, style=filled, fillcolor=lightyellow];
410 [label="410: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(0))))), X1845)\n\nX1845 is free", fontsize=16, style=filled, fillcolor=lightyellow];
411 [label="411: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(0))))), X1845), SCOPE: 60, CLAUSE: 1 | quot(s(0), s(s(s(s(0)))), s(s(s(s(s(0))))), X1845), SCOPE: 60, CLAUSE: 2 | quot(s(0), s(s(s(s(0)))), s(s(s(s(s(0))))), X1845), SCOPE: 60, CLAUSE: 3\n\nX1845 is free", fontsize=16, style=filled, fillcolor=lightyellow];
412 [label="412: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(0))))), X1845), SCOPE: 60, CLAUSE: 2 | quot(s(0), s(s(s(s(0)))), s(s(s(s(s(0))))), X1845), SCOPE: 60, CLAUSE: 3\n\nX1845 is free", fontsize=16, style=filled, fillcolor=lightyellow];
413 [label="413: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(0))))), X1845), SCOPE: 60, CLAUSE: 2\n\nX1845 is free", fontsize=16, style=filled, fillcolor=lightyellow];
414 [label="414: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(0))))), X1845), SCOPE: 60, CLAUSE: 3\n\nX1845 is free", fontsize=16, style=filled, fillcolor=lightyellow];
415 [label="415: quot(0, s(s(s(0))), s(s(s(s(s(0))))), X1880)\n\nX1880 is free", fontsize=16, style=filled, fillcolor=lightyellow];
416 [label="416: quot(0, s(s(s(0))), s(s(s(s(s(0))))), X1880), SCOPE: 61, CLAUSE: 1 | quot(0, s(s(s(0))), s(s(s(s(s(0))))), X1880), SCOPE: 61, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(0))))), X1880), SCOPE: 61, CLAUSE: 3\n\nX1880 is free", fontsize=16, style=filled, fillcolor=lightyellow];
417 [label="417: quot(0, s(s(s(0))), s(s(s(s(s(0))))), X1880), SCOPE: 61, CLAUSE: 1\n\nX1880 is free", fontsize=16, style=filled, fillcolor=lightyellow];
418 [label="418: quot(0, s(s(s(0))), s(s(s(s(s(0))))), X1880), SCOPE: 61, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(0))))), X1880), SCOPE: 61, CLAUSE: 3\n\nX1880 is free", fontsize=16, style=filled, fillcolor=lightyellow];
419 [label="419: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
420 [label="420: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
421 [label="421: quot(0, s(s(s(0))), s(s(s(s(s(0))))), X1880), SCOPE: 61, CLAUSE: 3\n\nX1880 is free", fontsize=16, style=filled, fillcolor=lightyellow];
422 [label="422: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
423 [label="423: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
424 [label="424: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
425 [label="425: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(0)))), X1917)\n\nX1917 is free", fontsize=16, style=filled, fillcolor=lightyellow];
426 [label="426: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
427 [label="427: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(0)))), X1917), SCOPE: 62, CLAUSE: 1 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(0)))), X1917), SCOPE: 62, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(0)))), X1917), SCOPE: 62, CLAUSE: 3\n\nX1917 is free", fontsize=16, style=filled, fillcolor=lightyellow];
428 [label="428: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(0)))), X1917), SCOPE: 62, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(0)))), X1917), SCOPE: 62, CLAUSE: 3\n\nX1917 is free", fontsize=16, style=filled, fillcolor=lightyellow];
429 [label="429: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(0)))), X1917), SCOPE: 62, CLAUSE: 2\n\nX1917 is free", fontsize=16, style=filled, fillcolor=lightyellow];
430 [label="430: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(0)))), X1917), SCOPE: 62, CLAUSE: 3\n\nX1917 is free", fontsize=16, style=filled, fillcolor=lightyellow];
431 [label="431: quot(s(0), s(s(s(0))), s(s(s(s(0)))), X1956)\n\nX1956 is free", fontsize=16, style=filled, fillcolor=lightyellow];
432 [label="432: quot(s(0), s(s(s(0))), s(s(s(s(0)))), X1956), SCOPE: 63, CLAUSE: 1 | quot(s(0), s(s(s(0))), s(s(s(s(0)))), X1956), SCOPE: 63, CLAUSE: 2 | quot(s(0), s(s(s(0))), s(s(s(s(0)))), X1956), SCOPE: 63, CLAUSE: 3\n\nX1956 is free", fontsize=16, style=filled, fillcolor=lightyellow];
433 [label="433: quot(s(0), s(s(s(0))), s(s(s(s(0)))), X1956), SCOPE: 63, CLAUSE: 2 | quot(s(0), s(s(s(0))), s(s(s(s(0)))), X1956), SCOPE: 63, CLAUSE: 3\n\nX1956 is free", fontsize=16, style=filled, fillcolor=lightyellow];
434 [label="434: quot(s(0), s(s(s(0))), s(s(s(s(0)))), X1956), SCOPE: 63, CLAUSE: 2\n\nX1956 is free", fontsize=16, style=filled, fillcolor=lightyellow];
435 [label="435: quot(s(0), s(s(s(0))), s(s(s(s(0)))), X1956), SCOPE: 63, CLAUSE: 3\n\nX1956 is free", fontsize=16, style=filled, fillcolor=lightyellow];
436 [label="436: quot(0, s(s(0)), s(s(s(s(0)))), X1991)\n\nX1991 is free", fontsize=16, style=filled, fillcolor=lightyellow];
437 [label="437: quot(0, s(s(0)), s(s(s(s(0)))), X1991), SCOPE: 64, CLAUSE: 1 | quot(0, s(s(0)), s(s(s(s(0)))), X1991), SCOPE: 64, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(0)))), X1991), SCOPE: 64, CLAUSE: 3\n\nX1991 is free", fontsize=16, style=filled, fillcolor=lightyellow];
438 [label="438: quot(0, s(s(0)), s(s(s(s(0)))), X1991), SCOPE: 64, CLAUSE: 1\n\nX1991 is free", fontsize=16, style=filled, fillcolor=lightyellow];
439 [label="439: quot(0, s(s(0)), s(s(s(s(0)))), X1991), SCOPE: 64, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(0)))), X1991), SCOPE: 64, CLAUSE: 3\n\nX1991 is free", fontsize=16, style=filled, fillcolor=lightyellow];
440 [label="440: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
441 [label="441: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
442 [label="442: quot(0, s(s(0)), s(s(s(s(0)))), X1991), SCOPE: 64, CLAUSE: 3\n\nX1991 is free", fontsize=16, style=filled, fillcolor=lightyellow];
443 [label="443: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
444 [label="444: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
445 [label="445: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
446 [label="W: quot(s(s(0)), s(s(s(0))), s(s(s(0))), X2028)\n\nX2028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
447 [label="447: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
448 [label="448: quot(s(s(0)), s(s(s(0))), s(s(s(0))), X2028), SCOPE: 65, CLAUSE: 1 | quot(s(s(0)), s(s(s(0))), s(s(s(0))), X2028), SCOPE: 65, CLAUSE: 2 | quot(s(s(0)), s(s(s(0))), s(s(s(0))), X2028), SCOPE: 65, CLAUSE: 3\n\nX2028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
449 [label="449: quot(s(s(0)), s(s(s(0))), s(s(s(0))), X2028), SCOPE: 65, CLAUSE: 2 | quot(s(s(0)), s(s(s(0))), s(s(s(0))), X2028), SCOPE: 65, CLAUSE: 3\n\nX2028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
450 [label="450: quot(s(s(0)), s(s(s(0))), s(s(s(0))), X2028), SCOPE: 65, CLAUSE: 2\n\nX2028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
451 [label="451: quot(s(s(0)), s(s(s(0))), s(s(s(0))), X2028), SCOPE: 65, CLAUSE: 3\n\nX2028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
452 [label="452: quot(s(0), s(s(0)), s(s(s(0))), X2067)\n\nX2067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
453 [label="453: quot(s(0), s(s(0)), s(s(s(0))), X2067), SCOPE: 66, CLAUSE: 1 | quot(s(0), s(s(0)), s(s(s(0))), X2067), SCOPE: 66, CLAUSE: 2 | quot(s(0), s(s(0)), s(s(s(0))), X2067), SCOPE: 66, CLAUSE: 3\n\nX2067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
454 [label="454: quot(s(0), s(s(0)), s(s(s(0))), X2067), SCOPE: 66, CLAUSE: 2 | quot(s(0), s(s(0)), s(s(s(0))), X2067), SCOPE: 66, CLAUSE: 3\n\nX2067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
455 [label="455: quot(s(0), s(s(0)), s(s(s(0))), X2067), SCOPE: 66, CLAUSE: 2\n\nX2067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
456 [label="456: quot(s(0), s(s(0)), s(s(s(0))), X2067), SCOPE: 66, CLAUSE: 3\n\nX2067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
457 [label="457: quot(0, s(0), s(s(s(0))), X2102)\n\nX2102 is free", fontsize=16, style=filled, fillcolor=lightyellow];
458 [label="458: quot(0, s(0), s(s(s(0))), X2102), SCOPE: 67, CLAUSE: 1 | quot(0, s(0), s(s(s(0))), X2102), SCOPE: 67, CLAUSE: 2 | quot(0, s(0), s(s(s(0))), X2102), SCOPE: 67, CLAUSE: 3\n\nX2102 is free", fontsize=16, style=filled, fillcolor=lightyellow];
459 [label="459: quot(0, s(0), s(s(s(0))), X2102), SCOPE: 67, CLAUSE: 1\n\nX2102 is free", fontsize=16, style=filled, fillcolor=lightyellow];
460 [label="460: quot(0, s(0), s(s(s(0))), X2102), SCOPE: 67, CLAUSE: 2 | quot(0, s(0), s(s(s(0))), X2102), SCOPE: 67, CLAUSE: 3\n\nX2102 is free", fontsize=16, style=filled, fillcolor=lightyellow];
461 [label="461: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
462 [label="462: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
463 [label="463: quot(0, s(0), s(s(s(0))), X2102), SCOPE: 67, CLAUSE: 3\n\nX2102 is free", fontsize=16, style=filled, fillcolor=lightyellow];
464 [label="464: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
465 [label="465: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
466 [label="466: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
467 [label="R: quot(s(s(0)), s(s(0)), s(s(0)), X2139)\n\nX2139 is free", fontsize=16, style=filled, fillcolor=lightyellow];
468 [label="468: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
469 [label="469: quot(s(s(0)), s(s(0)), s(s(0)), X2139), SCOPE: 68, CLAUSE: 1 | quot(s(s(0)), s(s(0)), s(s(0)), X2139), SCOPE: 68, CLAUSE: 2 | quot(s(s(0)), s(s(0)), s(s(0)), X2139), SCOPE: 68, CLAUSE: 3\n\nX2139 is free", fontsize=16, style=filled, fillcolor=lightyellow];
470 [label="470: quot(s(s(0)), s(s(0)), s(s(0)), X2139), SCOPE: 68, CLAUSE: 2 | quot(s(s(0)), s(s(0)), s(s(0)), X2139), SCOPE: 68, CLAUSE: 3\n\nX2139 is free", fontsize=16, style=filled, fillcolor=lightyellow];
471 [label="471: quot(s(s(0)), s(s(0)), s(s(0)), X2139), SCOPE: 68, CLAUSE: 2\n\nX2139 is free", fontsize=16, style=filled, fillcolor=lightyellow];
472 [label="472: quot(s(s(0)), s(s(0)), s(s(0)), X2139), SCOPE: 68, CLAUSE: 3\n\nX2139 is free", fontsize=16, style=filled, fillcolor=lightyellow];
473 [label="473: quot(s(0), s(0), s(s(0)), X2178)\n\nX2178 is free", fontsize=16, style=filled, fillcolor=lightyellow];
474 [label="474: quot(s(0), s(0), s(s(0)), X2178), SCOPE: 69, CLAUSE: 1 | quot(s(0), s(0), s(s(0)), X2178), SCOPE: 69, CLAUSE: 2 | quot(s(0), s(0), s(s(0)), X2178), SCOPE: 69, CLAUSE: 3\n\nX2178 is free", fontsize=16, style=filled, fillcolor=lightyellow];
475 [label="475: quot(s(0), s(0), s(s(0)), X2178), SCOPE: 69, CLAUSE: 2 | quot(s(0), s(0), s(s(0)), X2178), SCOPE: 69, CLAUSE: 3\n\nX2178 is free", fontsize=16, style=filled, fillcolor=lightyellow];
476 [label="476: quot(s(0), s(0), s(s(0)), X2178), SCOPE: 69, CLAUSE: 2\n\nX2178 is free", fontsize=16, style=filled, fillcolor=lightyellow];
477 [label="477: quot(s(0), s(0), s(s(0)), X2178), SCOPE: 69, CLAUSE: 3\n\nX2178 is free", fontsize=16, style=filled, fillcolor=lightyellow];
478 [label="478: quot(0, 0, s(s(0)), X2217)\n\nX2217 is free", fontsize=16, style=filled, fillcolor=lightyellow];
479 [label="479: quot(0, 0, s(s(0)), X2217), SCOPE: 70, CLAUSE: 1 | quot(0, 0, s(s(0)), X2217), SCOPE: 70, CLAUSE: 2 | quot(0, 0, s(s(0)), X2217), SCOPE: 70, CLAUSE: 3\n\nX2217 is free", fontsize=16, style=filled, fillcolor=lightyellow];
480 [label="480: quot(0, 0, s(s(0)), X2217), SCOPE: 70, CLAUSE: 2 | quot(0, 0, s(s(0)), X2217), SCOPE: 70, CLAUSE: 3\n\nX2217 is free", fontsize=16, style=filled, fillcolor=lightyellow];
481 [label="481: quot(0, 0, s(s(0)), X2217), SCOPE: 70, CLAUSE: 3\n\nX2217 is free", fontsize=16, style=filled, fillcolor=lightyellow];
482 [label="482: quot(0, s(s(0)), s(s(0)), X2241)\n\nX2241 is free", fontsize=16, style=filled, fillcolor=lightyellow];
483 [label="483: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
484 [label="484: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
485 [label="485: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
486 [label="486: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
487 [label="487: times(T271, s(s(T269)), X1031)\n\nT269 is ground\nT271 is ground\nX1031 is free", fontsize=16, style=filled, fillcolor=lightyellow];
488 [label="488: neq(s(s(s(s(T269)))), T407)\n\nT269 is ground\nT407 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
489 [label="489: pr(s(s(s(s(T263)))), s(T263)), SCOPE: 71, CLAUSE: 5 | pr(s(s(s(s(T263)))), s(T263)), SCOPE: 71, CLAUSE: 6\n\nT263 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
490 [label="490: pr(s(s(s(s(T263)))), s(T263)), SCOPE: 71, CLAUSE: 5\n\nT263 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
491 [label="491: pr(s(s(s(s(T263)))), s(T263)), SCOPE: 71, CLAUSE: 6\n\nT263 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
492 [label="492: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
493 [label="493: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
494 [label="494: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
495 [label="495: ','(not_divides(s(s(T424)), s(s(s(s(s(T424)))))), pr(s(s(s(s(s(T424))))), s(T424)))\n\nT424 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
496 [label="496: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
497 [label="N14: not_divides(s(s(T424)), s(s(s(s(s(T424))))))\n\nT424 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
498 [label="498: pr(s(s(s(s(s(T424))))), s(T424))\n\nT424 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
499 [label="499: not_divides(s(s(T424)), s(s(s(s(s(T424)))))), SCOPE: 72, CLAUSE: 7\n\nT424 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
500 [label="500: ','(div(s(s(s(s(s(T430))))), s(s(T430)), X2295), ','(times(X2295, s(s(T430)), X2296), neq(s(s(s(s(s(T430))))), X2296)))\n\nT430 is ground\nX2295 is free\nX2296 is free", fontsize=16, style=filled, fillcolor=lightyellow];
501 [label="N15: div(s(s(s(s(s(T430))))), s(s(T430)), X2295)\n\nT430 is ground\nX2295 is free", fontsize=16, style=filled, fillcolor=lightyellow];
502 [label="502: ','(times(T432, s(s(T430)), X2296), neq(s(s(s(s(s(T430))))), X2296))\n\nT430 is ground\nT432 is ground\nX2296 is free", fontsize=16, style=filled, fillcolor=lightyellow];
503 [label="503: div(s(s(s(s(s(T430))))), s(s(T430)), X2295), SCOPE: 73, CLAUSE: 0\n\nT430 is ground\nX2295 is free", fontsize=16, style=filled, fillcolor=lightyellow];
504 [label="504: quot(s(s(s(s(s(T436))))), s(s(T436)), s(s(T436)), X2320)\n\nT436 is ground\nX2320 is free", fontsize=16, style=filled, fillcolor=lightyellow];
505 [label="505: quot(s(s(s(s(s(T436))))), s(s(T436)), s(s(T436)), X2320), SCOPE: 74, CLAUSE: 1 | quot(s(s(s(s(s(T436))))), s(s(T436)), s(s(T436)), X2320), SCOPE: 74, CLAUSE: 2 | quot(s(s(s(s(s(T436))))), s(s(T436)), s(s(T436)), X2320), SCOPE: 74, CLAUSE: 3\n\nT436 is ground\nX2320 is free", fontsize=16, style=filled, fillcolor=lightyellow];
506 [label="506: quot(s(s(s(s(s(T436))))), s(s(T436)), s(s(T436)), X2320), SCOPE: 74, CLAUSE: 2 | quot(s(s(s(s(s(T436))))), s(s(T436)), s(s(T436)), X2320), SCOPE: 74, CLAUSE: 3\n\nT436 is ground\nX2320 is free", fontsize=16, style=filled, fillcolor=lightyellow];
507 [label="507: quot(s(s(s(s(s(T436))))), s(s(T436)), s(s(T436)), X2320), SCOPE: 74, CLAUSE: 2\n\nT436 is ground\nX2320 is free", fontsize=16, style=filled, fillcolor=lightyellow];
508 [label="508: quot(s(s(s(s(s(T436))))), s(s(T436)), s(s(T436)), X2320), SCOPE: 74, CLAUSE: 3\n\nT436 is ground\nX2320 is free", fontsize=16, style=filled, fillcolor=lightyellow];
509 [label="509: quot(s(s(s(s(T441)))), s(T441), s(s(T441)), X2359)\n\nT441 is ground\nX2359 is free", fontsize=16, style=filled, fillcolor=lightyellow];
510 [label="510: quot(s(s(s(s(T441)))), s(T441), s(s(T441)), X2359), SCOPE: 75, CLAUSE: 1 | quot(s(s(s(s(T441)))), s(T441), s(s(T441)), X2359), SCOPE: 75, CLAUSE: 2 | quot(s(s(s(s(T441)))), s(T441), s(s(T441)), X2359), SCOPE: 75, CLAUSE: 3\n\nT441 is ground\nX2359 is free", fontsize=16, style=filled, fillcolor=lightyellow];
511 [label="511: quot(s(s(s(s(T441)))), s(T441), s(s(T441)), X2359), SCOPE: 75, CLAUSE: 2 | quot(s(s(s(s(T441)))), s(T441), s(s(T441)), X2359), SCOPE: 75, CLAUSE: 3\n\nT441 is ground\nX2359 is free", fontsize=16, style=filled, fillcolor=lightyellow];
512 [label="512: quot(s(s(s(s(T441)))), s(T441), s(s(T441)), X2359), SCOPE: 75, CLAUSE: 2\n\nT441 is ground\nX2359 is free", fontsize=16, style=filled, fillcolor=lightyellow];
513 [label="513: quot(s(s(s(s(T441)))), s(T441), s(s(T441)), X2359), SCOPE: 75, CLAUSE: 3\n\nT441 is ground\nX2359 is free", fontsize=16, style=filled, fillcolor=lightyellow];
514 [label="514: quot(s(s(s(T446))), T446, s(s(T446)), X2398)\n\nT446 is ground\nX2398 is free", fontsize=16, style=filled, fillcolor=lightyellow];
515 [label="515: quot(s(s(s(T446))), T446, s(s(T446)), X2398), SCOPE: 76, CLAUSE: 1 | quot(s(s(s(T446))), T446, s(s(T446)), X2398), SCOPE: 76, CLAUSE: 2 | quot(s(s(s(T446))), T446, s(s(T446)), X2398), SCOPE: 76, CLAUSE: 3\n\nT446 is ground\nX2398 is free", fontsize=16, style=filled, fillcolor=lightyellow];
516 [label="516: quot(s(s(s(T446))), T446, s(s(T446)), X2398), SCOPE: 76, CLAUSE: 2 | quot(s(s(s(T446))), T446, s(s(T446)), X2398), SCOPE: 76, CLAUSE: 3\n\nT446 is ground\nX2398 is free", fontsize=16, style=filled, fillcolor=lightyellow];
517 [label="517: quot(s(s(s(T446))), T446, s(s(T446)), X2398), SCOPE: 76, CLAUSE: 2\n\nT446 is ground\nX2398 is free", fontsize=16, style=filled, fillcolor=lightyellow];
518 [label="518: quot(s(s(s(T446))), T446, s(s(T446)), X2398), SCOPE: 76, CLAUSE: 3\n\nT446 is ground\nX2398 is free", fontsize=16, style=filled, fillcolor=lightyellow];
519 [label="519: quot(s(s(s(T456))), T456, s(s(s(T456))), X2429)\n\nT456 is ground\nX2429 is free", fontsize=16, style=filled, fillcolor=lightyellow];
520 [label="520: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
521 [label="521: quot(s(s(s(T456))), T456, s(s(s(T456))), X2429), SCOPE: 77, CLAUSE: 1 | quot(s(s(s(T456))), T456, s(s(s(T456))), X2429), SCOPE: 77, CLAUSE: 2 | quot(s(s(s(T456))), T456, s(s(s(T456))), X2429), SCOPE: 77, CLAUSE: 3\n\nT456 is ground\nX2429 is free", fontsize=16, style=filled, fillcolor=lightyellow];
522 [label="522: quot(s(s(s(T456))), T456, s(s(s(T456))), X2429), SCOPE: 77, CLAUSE: 2 | quot(s(s(s(T456))), T456, s(s(s(T456))), X2429), SCOPE: 77, CLAUSE: 3\n\nT456 is ground\nX2429 is free", fontsize=16, style=filled, fillcolor=lightyellow];
523 [label="523: quot(s(s(s(T456))), T456, s(s(s(T456))), X2429), SCOPE: 77, CLAUSE: 2\n\nT456 is ground\nX2429 is free", fontsize=16, style=filled, fillcolor=lightyellow];
524 [label="524: quot(s(s(s(T456))), T456, s(s(s(T456))), X2429), SCOPE: 77, CLAUSE: 3\n\nT456 is ground\nX2429 is free", fontsize=16, style=filled, fillcolor=lightyellow];
525 [label="525: quot(s(s(s(T466))), T466, s(s(s(s(T466)))), X2460)\n\nT466 is ground\nX2460 is free", fontsize=16, style=filled, fillcolor=lightyellow];
526 [label="526: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
527 [label="527: quot(s(s(s(T466))), T466, s(s(s(s(T466)))), X2460), SCOPE: 78, CLAUSE: 1 | quot(s(s(s(T466))), T466, s(s(s(s(T466)))), X2460), SCOPE: 78, CLAUSE: 2 | quot(s(s(s(T466))), T466, s(s(s(s(T466)))), X2460), SCOPE: 78, CLAUSE: 3\n\nT466 is ground\nX2460 is free", fontsize=16, style=filled, fillcolor=lightyellow];
528 [label="528: quot(s(s(s(T466))), T466, s(s(s(s(T466)))), X2460), SCOPE: 78, CLAUSE: 2 | quot(s(s(s(T466))), T466, s(s(s(s(T466)))), X2460), SCOPE: 78, CLAUSE: 3\n\nT466 is ground\nX2460 is free", fontsize=16, style=filled, fillcolor=lightyellow];
529 [label="529: quot(s(s(s(T466))), T466, s(s(s(s(T466)))), X2460), SCOPE: 78, CLAUSE: 2\n\nT466 is ground\nX2460 is free", fontsize=16, style=filled, fillcolor=lightyellow];
530 [label="530: quot(s(s(s(T466))), T466, s(s(s(s(T466)))), X2460), SCOPE: 78, CLAUSE: 3\n\nT466 is ground\nX2460 is free", fontsize=16, style=filled, fillcolor=lightyellow];
531 [label="531: quot(s(s(s(T476))), T476, s(s(s(s(s(T476))))), X2491)\n\nT476 is ground\nX2491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
532 [label="532: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
533 [label="533: quot(s(s(s(T476))), T476, s(s(s(s(s(T476))))), X2491), SCOPE: 79, CLAUSE: 1 | quot(s(s(s(T476))), T476, s(s(s(s(s(T476))))), X2491), SCOPE: 79, CLAUSE: 2 | quot(s(s(s(T476))), T476, s(s(s(s(s(T476))))), X2491), SCOPE: 79, CLAUSE: 3\n\nT476 is ground\nX2491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
534 [label="534: quot(s(s(s(T476))), T476, s(s(s(s(s(T476))))), X2491), SCOPE: 79, CLAUSE: 2 | quot(s(s(s(T476))), T476, s(s(s(s(s(T476))))), X2491), SCOPE: 79, CLAUSE: 3\n\nT476 is ground\nX2491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
535 [label="535: quot(s(s(s(T476))), T476, s(s(s(s(s(T476))))), X2491), SCOPE: 79, CLAUSE: 2\n\nT476 is ground\nX2491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
536 [label="536: quot(s(s(s(T476))), T476, s(s(s(s(s(T476))))), X2491), SCOPE: 79, CLAUSE: 3\n\nT476 is ground\nX2491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
537 [label="537: quot(s(s(s(T486))), T486, s(s(s(s(s(s(T486)))))), X2522)\n\nT486 is ground\nX2522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
538 [label="538: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
539 [label="539: quot(s(s(s(T486))), T486, s(s(s(s(s(s(T486)))))), X2522), SCOPE: 80, CLAUSE: 1 | quot(s(s(s(T486))), T486, s(s(s(s(s(s(T486)))))), X2522), SCOPE: 80, CLAUSE: 2 | quot(s(s(s(T486))), T486, s(s(s(s(s(s(T486)))))), X2522), SCOPE: 80, CLAUSE: 3\n\nT486 is ground\nX2522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
540 [label="540: quot(s(s(s(T486))), T486, s(s(s(s(s(s(T486)))))), X2522), SCOPE: 80, CLAUSE: 2 | quot(s(s(s(T486))), T486, s(s(s(s(s(s(T486)))))), X2522), SCOPE: 80, CLAUSE: 3\n\nT486 is ground\nX2522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
541 [label="541: quot(s(s(s(T486))), T486, s(s(s(s(s(s(T486)))))), X2522), SCOPE: 80, CLAUSE: 2\n\nT486 is ground\nX2522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
542 [label="542: quot(s(s(s(T486))), T486, s(s(s(s(s(s(T486)))))), X2522), SCOPE: 80, CLAUSE: 3\n\nT486 is ground\nX2522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
543 [label="543: quot(s(s(s(T496))), T496, s(s(s(s(s(s(s(T496))))))), X2553)\n\nT496 is ground\nX2553 is free", fontsize=16, style=filled, fillcolor=lightyellow];
544 [label="544: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
545 [label="545: quot(s(s(s(T496))), T496, s(s(s(s(s(s(s(T496))))))), X2553), SCOPE: 81, CLAUSE: 1 | quot(s(s(s(T496))), T496, s(s(s(s(s(s(s(T496))))))), X2553), SCOPE: 81, CLAUSE: 2 | quot(s(s(s(T496))), T496, s(s(s(s(s(s(s(T496))))))), X2553), SCOPE: 81, CLAUSE: 3\n\nT496 is ground\nX2553 is free", fontsize=16, style=filled, fillcolor=lightyellow];
546 [label="546: quot(s(s(s(T496))), T496, s(s(s(s(s(s(s(T496))))))), X2553), SCOPE: 81, CLAUSE: 2 | quot(s(s(s(T496))), T496, s(s(s(s(s(s(s(T496))))))), X2553), SCOPE: 81, CLAUSE: 3\n\nT496 is ground\nX2553 is free", fontsize=16, style=filled, fillcolor=lightyellow];
547 [label="547: quot(s(s(s(T496))), T496, s(s(s(s(s(s(s(T496))))))), X2553), SCOPE: 81, CLAUSE: 2\n\nT496 is ground\nX2553 is free", fontsize=16, style=filled, fillcolor=lightyellow];
548 [label="548: quot(s(s(s(T496))), T496, s(s(s(s(s(s(s(T496))))))), X2553), SCOPE: 81, CLAUSE: 3\n\nT496 is ground\nX2553 is free", fontsize=16, style=filled, fillcolor=lightyellow];
549 [label="549: quot(s(s(s(T506))), T506, s(s(s(s(s(s(s(s(T506)))))))), X2584)\n\nT506 is ground\nX2584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
550 [label="550: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
551 [label="K: quot(s(s(s(T506))), T506, s(T507), X2584)\n\nT506 is ground\nT507 is ground\nX2584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
552 [label="552: quot(s(s(s(T506))), T506, s(T507), X2584), SCOPE: 82, CLAUSE: 1 | quot(s(s(s(T506))), T506, s(T507), X2584), SCOPE: 82, CLAUSE: 2 | quot(s(s(s(T506))), T506, s(T507), X2584), SCOPE: 82, CLAUSE: 3\n\nT506 is ground\nT507 is ground\nX2584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
553 [label="553: quot(s(s(s(T506))), T506, s(T507), X2584), SCOPE: 82, CLAUSE: 2 | quot(s(s(s(T506))), T506, s(T507), X2584), SCOPE: 82, CLAUSE: 3\n\nT506 is ground\nT507 is ground\nX2584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
554 [label="554: quot(s(s(s(T506))), T506, s(T507), X2584), SCOPE: 82, CLAUSE: 2\n\nT506 is ground\nT507 is ground\nX2584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
555 [label="555: quot(s(s(s(T506))), T506, s(T507), X2584), SCOPE: 82, CLAUSE: 3\n\nT506 is ground\nT507 is ground\nX2584 is free", fontsize=16, style=filled, fillcolor=lightyellow];
556 [label="556: quot(s(s(s(T521))), T521, s(T522), X2619)\n\nT521 is ground\nT522 is ground\nX2619 is free", fontsize=16, style=filled, fillcolor=lightyellow];
557 [label="557: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
558 [label="558: quot(s(s(s(0))), s(T528), s(T528), X2635)\n\nT528 is ground\nX2635 is free", fontsize=16, style=filled, fillcolor=lightyellow];
559 [label="559: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
560 [label="560: quot(s(s(s(0))), s(T528), s(T528), X2635), SCOPE: 83, CLAUSE: 1 | quot(s(s(s(0))), s(T528), s(T528), X2635), SCOPE: 83, CLAUSE: 2 | quot(s(s(s(0))), s(T528), s(T528), X2635), SCOPE: 83, CLAUSE: 3\n\nT528 is ground\nX2635 is free", fontsize=16, style=filled, fillcolor=lightyellow];
561 [label="561: quot(s(s(s(0))), s(T528), s(T528), X2635), SCOPE: 83, CLAUSE: 2 | quot(s(s(s(0))), s(T528), s(T528), X2635), SCOPE: 83, CLAUSE: 3\n\nT528 is ground\nX2635 is free", fontsize=16, style=filled, fillcolor=lightyellow];
562 [label="562: quot(s(s(s(0))), s(T528), s(T528), X2635), SCOPE: 83, CLAUSE: 2\n\nT528 is ground\nX2635 is free", fontsize=16, style=filled, fillcolor=lightyellow];
563 [label="563: quot(s(s(s(0))), s(T528), s(T528), X2635), SCOPE: 83, CLAUSE: 3\n\nT528 is ground\nX2635 is free", fontsize=16, style=filled, fillcolor=lightyellow];
564 [label="564: quot(s(s(0)), T533, s(T533), X2674)\n\nT533 is ground\nX2674 is free", fontsize=16, style=filled, fillcolor=lightyellow];
565 [label="565: quot(s(s(0)), T533, s(T533), X2674), SCOPE: 84, CLAUSE: 1 | quot(s(s(0)), T533, s(T533), X2674), SCOPE: 84, CLAUSE: 2 | quot(s(s(0)), T533, s(T533), X2674), SCOPE: 84, CLAUSE: 3\n\nT533 is ground\nX2674 is free", fontsize=16, style=filled, fillcolor=lightyellow];
566 [label="566: quot(s(s(0)), T533, s(T533), X2674), SCOPE: 84, CLAUSE: 2 | quot(s(s(0)), T533, s(T533), X2674), SCOPE: 84, CLAUSE: 3\n\nT533 is ground\nX2674 is free", fontsize=16, style=filled, fillcolor=lightyellow];
567 [label="567: quot(s(s(0)), T533, s(T533), X2674), SCOPE: 84, CLAUSE: 2\n\nT533 is ground\nX2674 is free", fontsize=16, style=filled, fillcolor=lightyellow];
568 [label="568: quot(s(s(0)), T533, s(T533), X2674), SCOPE: 84, CLAUSE: 3\n\nT533 is ground\nX2674 is free", fontsize=16, style=filled, fillcolor=lightyellow];
569 [label="569: quot(s(0), T538, s(s(T538)), X2705)\n\nT538 is ground\nX2705 is free", fontsize=16, style=filled, fillcolor=lightyellow];
570 [label="570: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
571 [label="571: quot(s(0), T538, s(s(T538)), X2705), SCOPE: 85, CLAUSE: 1 | quot(s(0), T538, s(s(T538)), X2705), SCOPE: 85, CLAUSE: 2 | quot(s(0), T538, s(s(T538)), X2705), SCOPE: 85, CLAUSE: 3\n\nT538 is ground\nX2705 is free", fontsize=16, style=filled, fillcolor=lightyellow];
572 [label="572: quot(s(0), T538, s(s(T538)), X2705), SCOPE: 85, CLAUSE: 2 | quot(s(0), T538, s(s(T538)), X2705), SCOPE: 85, CLAUSE: 3\n\nT538 is ground\nX2705 is free", fontsize=16, style=filled, fillcolor=lightyellow];
573 [label="573: quot(s(0), T538, s(s(T538)), X2705), SCOPE: 85, CLAUSE: 2\n\nT538 is ground\nX2705 is free", fontsize=16, style=filled, fillcolor=lightyellow];
574 [label="574: quot(s(0), T538, s(s(T538)), X2705), SCOPE: 85, CLAUSE: 3\n\nT538 is ground\nX2705 is free", fontsize=16, style=filled, fillcolor=lightyellow];
575 [label="575: quot(0, T543, s(s(s(T543))), X2736)\n\nT543 is ground\nX2736 is free", fontsize=16, style=filled, fillcolor=lightyellow];
576 [label="576: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
577 [label="577: quot(0, T543, s(s(s(T543))), X2736), SCOPE: 86, CLAUSE: 1 | quot(0, T543, s(s(s(T543))), X2736), SCOPE: 86, CLAUSE: 2 | quot(0, T543, s(s(s(T543))), X2736), SCOPE: 86, CLAUSE: 3\n\nT543 is ground\nX2736 is free", fontsize=16, style=filled, fillcolor=lightyellow];
578 [label="578: quot(0, T543, s(s(s(T543))), X2736), SCOPE: 86, CLAUSE: 1\n\nT543 is ground\nX2736 is free", fontsize=16, style=filled, fillcolor=lightyellow];
579 [label="579: quot(0, T543, s(s(s(T543))), X2736), SCOPE: 86, CLAUSE: 2 | quot(0, T543, s(s(s(T543))), X2736), SCOPE: 86, CLAUSE: 3\n\nT543 is ground\nX2736 is free", fontsize=16, style=filled, fillcolor=lightyellow];
580 [label="580: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
581 [label="581: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
582 [label="582: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
583 [label="583: quot(0, T543, s(s(s(T543))), X2736), SCOPE: 86, CLAUSE: 3\n\nT543 is ground\nX2736 is free", fontsize=16, style=filled, fillcolor=lightyellow];
584 [label="L: quot(0, s(s(s(0))), s(s(s(0))), X2766)\n\nX2766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
585 [label="585: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
586 [label="586: quot(0, s(s(s(0))), s(s(s(0))), X2766), SCOPE: 87, CLAUSE: 1 | quot(0, s(s(s(0))), s(s(s(0))), X2766), SCOPE: 87, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(0))), X2766), SCOPE: 87, CLAUSE: 3\n\nX2766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
587 [label="587: quot(0, s(s(s(0))), s(s(s(0))), X2766), SCOPE: 87, CLAUSE: 1\n\nX2766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
588 [label="588: quot(0, s(s(s(0))), s(s(s(0))), X2766), SCOPE: 87, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(0))), X2766), SCOPE: 87, CLAUSE: 3\n\nX2766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
589 [label="589: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
590 [label="590: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
591 [label="591: quot(0, s(s(s(0))), s(s(s(0))), X2766), SCOPE: 87, CLAUSE: 3\n\nX2766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
592 [label="592: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
593 [label="593: quot(s(0), s(s(0)), s(s(0)), X2797)\n\nX2797 is free", fontsize=16, style=filled, fillcolor=lightyellow];
594 [label="594: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
595 [label="N: quot(s(s(0)), s(0), s(0), X2813)\n\nX2813 is free", fontsize=16, style=filled, fillcolor=lightyellow];
596 [label="596: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
597 [label="597: quot(s(s(0)), s(0), s(0), X2813), SCOPE: 88, CLAUSE: 1 | quot(s(s(0)), s(0), s(0), X2813), SCOPE: 88, CLAUSE: 2 | quot(s(s(0)), s(0), s(0), X2813), SCOPE: 88, CLAUSE: 3\n\nX2813 is free", fontsize=16, style=filled, fillcolor=lightyellow];
598 [label="598: quot(s(s(0)), s(0), s(0), X2813), SCOPE: 88, CLAUSE: 2 | quot(s(s(0)), s(0), s(0), X2813), SCOPE: 88, CLAUSE: 3\n\nX2813 is free", fontsize=16, style=filled, fillcolor=lightyellow];
599 [label="599: quot(s(s(0)), s(0), s(0), X2813), SCOPE: 88, CLAUSE: 2\n\nX2813 is free", fontsize=16, style=filled, fillcolor=lightyellow];
600 [label="600: quot(s(s(0)), s(0), s(0), X2813), SCOPE: 88, CLAUSE: 3\n\nX2813 is free", fontsize=16, style=filled, fillcolor=lightyellow];
601 [label="601: quot(s(0), 0, s(0), X2852)\n\nX2852 is free", fontsize=16, style=filled, fillcolor=lightyellow];
602 [label="602: quot(s(0), 0, s(0), X2852), SCOPE: 89, CLAUSE: 1 | quot(s(0), 0, s(0), X2852), SCOPE: 89, CLAUSE: 2 | quot(s(0), 0, s(0), X2852), SCOPE: 89, CLAUSE: 3\n\nX2852 is free", fontsize=16, style=filled, fillcolor=lightyellow];
603 [label="603: quot(s(0), 0, s(0), X2852), SCOPE: 89, CLAUSE: 2 | quot(s(0), 0, s(0), X2852), SCOPE: 89, CLAUSE: 3\n\nX2852 is free", fontsize=16, style=filled, fillcolor=lightyellow];
604 [label="604: quot(s(0), 0, s(0), X2852), SCOPE: 89, CLAUSE: 3\n\nX2852 is free", fontsize=16, style=filled, fillcolor=lightyellow];
605 [label="605: quot(s(0), s(0), s(0), X2878)\n\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
606 [label="606: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
607 [label="607: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
608 [label="608: quot(s(s(s(0))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2900)\n\nX2900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
609 [label="609: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
610 [label="610: quot(s(s(s(0))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2900), SCOPE: 90, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2900), SCOPE: 90, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2900), SCOPE: 90, CLAUSE: 3\n\nX2900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
611 [label="611: quot(s(s(s(0))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2900), SCOPE: 90, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2900), SCOPE: 90, CLAUSE: 3\n\nX2900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
612 [label="612: quot(s(s(s(0))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2900), SCOPE: 90, CLAUSE: 2\n\nX2900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
613 [label="613: quot(s(s(s(0))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2900), SCOPE: 90, CLAUSE: 3\n\nX2900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
614 [label="614: quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X2939)\n\nX2939 is free", fontsize=16, style=filled, fillcolor=lightyellow];
615 [label="615: quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X2939), SCOPE: 91, CLAUSE: 1 | quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X2939), SCOPE: 91, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X2939), SCOPE: 91, CLAUSE: 3\n\nX2939 is free", fontsize=16, style=filled, fillcolor=lightyellow];
616 [label="616: quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X2939), SCOPE: 91, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X2939), SCOPE: 91, CLAUSE: 3\n\nX2939 is free", fontsize=16, style=filled, fillcolor=lightyellow];
617 [label="617: quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X2939), SCOPE: 91, CLAUSE: 2\n\nX2939 is free", fontsize=16, style=filled, fillcolor=lightyellow];
618 [label="618: quot(s(s(0)), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X2939), SCOPE: 91, CLAUSE: 3\n\nX2939 is free", fontsize=16, style=filled, fillcolor=lightyellow];
619 [label="619: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X2978)\n\nX2978 is free", fontsize=16, style=filled, fillcolor=lightyellow];
620 [label="620: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X2978), SCOPE: 92, CLAUSE: 1 | quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X2978), SCOPE: 92, CLAUSE: 2 | quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X2978), SCOPE: 92, CLAUSE: 3\n\nX2978 is free", fontsize=16, style=filled, fillcolor=lightyellow];
621 [label="621: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X2978), SCOPE: 92, CLAUSE: 2 | quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X2978), SCOPE: 92, CLAUSE: 3\n\nX2978 is free", fontsize=16, style=filled, fillcolor=lightyellow];
622 [label="622: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X2978), SCOPE: 92, CLAUSE: 2\n\nX2978 is free", fontsize=16, style=filled, fillcolor=lightyellow];
623 [label="623: quot(s(0), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X2978), SCOPE: 92, CLAUSE: 3\n\nX2978 is free", fontsize=16, style=filled, fillcolor=lightyellow];
624 [label="624: quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X3013)\n\nX3013 is free", fontsize=16, style=filled, fillcolor=lightyellow];
625 [label="625: quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X3013), SCOPE: 93, CLAUSE: 1 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X3013), SCOPE: 93, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X3013), SCOPE: 93, CLAUSE: 3\n\nX3013 is free", fontsize=16, style=filled, fillcolor=lightyellow];
626 [label="626: quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X3013), SCOPE: 93, CLAUSE: 1\n\nX3013 is free", fontsize=16, style=filled, fillcolor=lightyellow];
627 [label="627: quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X3013), SCOPE: 93, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X3013), SCOPE: 93, CLAUSE: 3\n\nX3013 is free", fontsize=16, style=filled, fillcolor=lightyellow];
628 [label="628: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
629 [label="629: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
630 [label="630: quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X3013), SCOPE: 93, CLAUSE: 3\n\nX3013 is free", fontsize=16, style=filled, fillcolor=lightyellow];
631 [label="631: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
632 [label="632: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
633 [label="633: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
634 [label="634: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
635 [label="635: quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X3053)\n\nX3053 is free", fontsize=16, style=filled, fillcolor=lightyellow];
636 [label="636: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
637 [label="637: quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X3053), SCOPE: 94, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X3053), SCOPE: 94, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X3053), SCOPE: 94, CLAUSE: 3\n\nX3053 is free", fontsize=16, style=filled, fillcolor=lightyellow];
638 [label="638: quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X3053), SCOPE: 94, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X3053), SCOPE: 94, CLAUSE: 3\n\nX3053 is free", fontsize=16, style=filled, fillcolor=lightyellow];
639 [label="639: quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X3053), SCOPE: 94, CLAUSE: 2\n\nX3053 is free", fontsize=16, style=filled, fillcolor=lightyellow];
640 [label="640: quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X3053), SCOPE: 94, CLAUSE: 3\n\nX3053 is free", fontsize=16, style=filled, fillcolor=lightyellow];
641 [label="641: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X3092)\n\nX3092 is free", fontsize=16, style=filled, fillcolor=lightyellow];
642 [label="642: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X3092), SCOPE: 95, CLAUSE: 1 | quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X3092), SCOPE: 95, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X3092), SCOPE: 95, CLAUSE: 3\n\nX3092 is free", fontsize=16, style=filled, fillcolor=lightyellow];
643 [label="643: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X3092), SCOPE: 95, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X3092), SCOPE: 95, CLAUSE: 3\n\nX3092 is free", fontsize=16, style=filled, fillcolor=lightyellow];
644 [label="644: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X3092), SCOPE: 95, CLAUSE: 2\n\nX3092 is free", fontsize=16, style=filled, fillcolor=lightyellow];
645 [label="645: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X3092), SCOPE: 95, CLAUSE: 3\n\nX3092 is free", fontsize=16, style=filled, fillcolor=lightyellow];
646 [label="646: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X3131)\n\nX3131 is free", fontsize=16, style=filled, fillcolor=lightyellow];
647 [label="647: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X3131), SCOPE: 96, CLAUSE: 1 | quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X3131), SCOPE: 96, CLAUSE: 2 | quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X3131), SCOPE: 96, CLAUSE: 3\n\nX3131 is free", fontsize=16, style=filled, fillcolor=lightyellow];
648 [label="648: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X3131), SCOPE: 96, CLAUSE: 2 | quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X3131), SCOPE: 96, CLAUSE: 3\n\nX3131 is free", fontsize=16, style=filled, fillcolor=lightyellow];
649 [label="649: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X3131), SCOPE: 96, CLAUSE: 2\n\nX3131 is free", fontsize=16, style=filled, fillcolor=lightyellow];
650 [label="650: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X3131), SCOPE: 96, CLAUSE: 3\n\nX3131 is free", fontsize=16, style=filled, fillcolor=lightyellow];
651 [label="651: quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), X3166)\n\nX3166 is free", fontsize=16, style=filled, fillcolor=lightyellow];
652 [label="652: quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), X3166), SCOPE: 97, CLAUSE: 1 | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), X3166), SCOPE: 97, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), X3166), SCOPE: 97, CLAUSE: 3\n\nX3166 is free", fontsize=16, style=filled, fillcolor=lightyellow];
653 [label="653: quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), X3166), SCOPE: 97, CLAUSE: 1\n\nX3166 is free", fontsize=16, style=filled, fillcolor=lightyellow];
654 [label="654: quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), X3166), SCOPE: 97, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), X3166), SCOPE: 97, CLAUSE: 3\n\nX3166 is free", fontsize=16, style=filled, fillcolor=lightyellow];
655 [label="655: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
656 [label="656: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
657 [label="657: quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), X3166), SCOPE: 97, CLAUSE: 3\n\nX3166 is free", fontsize=16, style=filled, fillcolor=lightyellow];
658 [label="658: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
659 [label="659: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
660 [label="660: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
661 [label="661: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
662 [label="662: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X3206)\n\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
663 [label="663: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
664 [label="664: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X3206), SCOPE: 98, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X3206), SCOPE: 98, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X3206), SCOPE: 98, CLAUSE: 3\n\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
665 [label="665: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X3206), SCOPE: 98, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X3206), SCOPE: 98, CLAUSE: 3\n\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
666 [label="666: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X3206), SCOPE: 98, CLAUSE: 2\n\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
667 [label="667: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X3206), SCOPE: 98, CLAUSE: 3\n\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
668 [label="668: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(0))))), X3245)\n\nX3245 is free", fontsize=16, style=filled, fillcolor=lightyellow];
669 [label="669: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(0))))), X3245), SCOPE: 99, CLAUSE: 1 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(0))))), X3245), SCOPE: 99, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(0))))), X3245), SCOPE: 99, CLAUSE: 3\n\nX3245 is free", fontsize=16, style=filled, fillcolor=lightyellow];
670 [label="670: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(0))))), X3245), SCOPE: 99, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(0))))), X3245), SCOPE: 99, CLAUSE: 3\n\nX3245 is free", fontsize=16, style=filled, fillcolor=lightyellow];
671 [label="671: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(0))))), X3245), SCOPE: 99, CLAUSE: 2\n\nX3245 is free", fontsize=16, style=filled, fillcolor=lightyellow];
672 [label="672: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(0))))), X3245), SCOPE: 99, CLAUSE: 3\n\nX3245 is free", fontsize=16, style=filled, fillcolor=lightyellow];
673 [label="673: quot(s(0), s(s(s(0))), s(s(s(s(s(0))))), X3284)\n\nX3284 is free", fontsize=16, style=filled, fillcolor=lightyellow];
674 [label="674: quot(s(0), s(s(s(0))), s(s(s(s(s(0))))), X3284), SCOPE: 100, CLAUSE: 1 | quot(s(0), s(s(s(0))), s(s(s(s(s(0))))), X3284), SCOPE: 100, CLAUSE: 2 | quot(s(0), s(s(s(0))), s(s(s(s(s(0))))), X3284), SCOPE: 100, CLAUSE: 3\n\nX3284 is free", fontsize=16, style=filled, fillcolor=lightyellow];
675 [label="675: quot(s(0), s(s(s(0))), s(s(s(s(s(0))))), X3284), SCOPE: 100, CLAUSE: 2 | quot(s(0), s(s(s(0))), s(s(s(s(s(0))))), X3284), SCOPE: 100, CLAUSE: 3\n\nX3284 is free", fontsize=16, style=filled, fillcolor=lightyellow];
676 [label="676: quot(s(0), s(s(s(0))), s(s(s(s(s(0))))), X3284), SCOPE: 100, CLAUSE: 2\n\nX3284 is free", fontsize=16, style=filled, fillcolor=lightyellow];
677 [label="677: quot(s(0), s(s(s(0))), s(s(s(s(s(0))))), X3284), SCOPE: 100, CLAUSE: 3\n\nX3284 is free", fontsize=16, style=filled, fillcolor=lightyellow];
678 [label="678: quot(0, s(s(0)), s(s(s(s(s(0))))), X3319)\n\nX3319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
679 [label="679: quot(0, s(s(0)), s(s(s(s(s(0))))), X3319), SCOPE: 101, CLAUSE: 1 | quot(0, s(s(0)), s(s(s(s(s(0))))), X3319), SCOPE: 101, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(0))))), X3319), SCOPE: 101, CLAUSE: 3\n\nX3319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
680 [label="680: quot(0, s(s(0)), s(s(s(s(s(0))))), X3319), SCOPE: 101, CLAUSE: 1\n\nX3319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
681 [label="681: quot(0, s(s(0)), s(s(s(s(s(0))))), X3319), SCOPE: 101, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(0))))), X3319), SCOPE: 101, CLAUSE: 3\n\nX3319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
682 [label="682: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
683 [label="683: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
684 [label="684: quot(0, s(s(0)), s(s(s(s(s(0))))), X3319), SCOPE: 101, CLAUSE: 3\n\nX3319 is free", fontsize=16, style=filled, fillcolor=lightyellow];
685 [label="685: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
686 [label="686: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
687 [label="687: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
688 [label="688: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
689 [label="689: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(0)))), X3359)\n\nX3359 is free", fontsize=16, style=filled, fillcolor=lightyellow];
690 [label="690: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
691 [label="691: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(0)))), X3359), SCOPE: 102, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(0)))), X3359), SCOPE: 102, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(0)))), X3359), SCOPE: 102, CLAUSE: 3\n\nX3359 is free", fontsize=16, style=filled, fillcolor=lightyellow];
692 [label="692: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(0)))), X3359), SCOPE: 102, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(0)))), X3359), SCOPE: 102, CLAUSE: 3\n\nX3359 is free", fontsize=16, style=filled, fillcolor=lightyellow];
693 [label="693: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(0)))), X3359), SCOPE: 102, CLAUSE: 2\n\nX3359 is free", fontsize=16, style=filled, fillcolor=lightyellow];
694 [label="694: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(0)))), X3359), SCOPE: 102, CLAUSE: 3\n\nX3359 is free", fontsize=16, style=filled, fillcolor=lightyellow];
695 [label="695: quot(s(s(0)), s(s(s(0))), s(s(s(s(0)))), X3398)\n\nX3398 is free", fontsize=16, style=filled, fillcolor=lightyellow];
696 [label="696: quot(s(s(0)), s(s(s(0))), s(s(s(s(0)))), X3398), SCOPE: 103, CLAUSE: 1 | quot(s(s(0)), s(s(s(0))), s(s(s(s(0)))), X3398), SCOPE: 103, CLAUSE: 2 | quot(s(s(0)), s(s(s(0))), s(s(s(s(0)))), X3398), SCOPE: 103, CLAUSE: 3\n\nX3398 is free", fontsize=16, style=filled, fillcolor=lightyellow];
697 [label="697: quot(s(s(0)), s(s(s(0))), s(s(s(s(0)))), X3398), SCOPE: 103, CLAUSE: 2 | quot(s(s(0)), s(s(s(0))), s(s(s(s(0)))), X3398), SCOPE: 103, CLAUSE: 3\n\nX3398 is free", fontsize=16, style=filled, fillcolor=lightyellow];
698 [label="698: quot(s(s(0)), s(s(s(0))), s(s(s(s(0)))), X3398), SCOPE: 103, CLAUSE: 2\n\nX3398 is free", fontsize=16, style=filled, fillcolor=lightyellow];
699 [label="699: quot(s(s(0)), s(s(s(0))), s(s(s(s(0)))), X3398), SCOPE: 103, CLAUSE: 3\n\nX3398 is free", fontsize=16, style=filled, fillcolor=lightyellow];
700 [label="700: quot(s(0), s(s(0)), s(s(s(s(0)))), X3437)\n\nX3437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
701 [label="701: quot(s(0), s(s(0)), s(s(s(s(0)))), X3437), SCOPE: 104, CLAUSE: 1 | quot(s(0), s(s(0)), s(s(s(s(0)))), X3437), SCOPE: 104, CLAUSE: 2 | quot(s(0), s(s(0)), s(s(s(s(0)))), X3437), SCOPE: 104, CLAUSE: 3\n\nX3437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
702 [label="702: quot(s(0), s(s(0)), s(s(s(s(0)))), X3437), SCOPE: 104, CLAUSE: 2 | quot(s(0), s(s(0)), s(s(s(s(0)))), X3437), SCOPE: 104, CLAUSE: 3\n\nX3437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
703 [label="703: quot(s(0), s(s(0)), s(s(s(s(0)))), X3437), SCOPE: 104, CLAUSE: 2\n\nX3437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
704 [label="704: quot(s(0), s(s(0)), s(s(s(s(0)))), X3437), SCOPE: 104, CLAUSE: 3\n\nX3437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
705 [label="705: quot(0, s(0), s(s(s(s(0)))), X3472)\n\nX3472 is free", fontsize=16, style=filled, fillcolor=lightyellow];
706 [label="706: quot(0, s(0), s(s(s(s(0)))), X3472), SCOPE: 105, CLAUSE: 1 | quot(0, s(0), s(s(s(s(0)))), X3472), SCOPE: 105, CLAUSE: 2 | quot(0, s(0), s(s(s(s(0)))), X3472), SCOPE: 105, CLAUSE: 3\n\nX3472 is free", fontsize=16, style=filled, fillcolor=lightyellow];
707 [label="707: quot(0, s(0), s(s(s(s(0)))), X3472), SCOPE: 105, CLAUSE: 1\n\nX3472 is free", fontsize=16, style=filled, fillcolor=lightyellow];
708 [label="708: quot(0, s(0), s(s(s(s(0)))), X3472), SCOPE: 105, CLAUSE: 2 | quot(0, s(0), s(s(s(s(0)))), X3472), SCOPE: 105, CLAUSE: 3\n\nX3472 is free", fontsize=16, style=filled, fillcolor=lightyellow];
709 [label="709: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
710 [label="710: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
711 [label="711: quot(0, s(0), s(s(s(s(0)))), X3472), SCOPE: 105, CLAUSE: 3\n\nX3472 is free", fontsize=16, style=filled, fillcolor=lightyellow];
712 [label="712: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
713 [label="713: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
714 [label="714: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
715 [label="715: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
716 [label="716: quot(s(s(s(0))), s(s(s(0))), s(s(s(0))), X3512)\n\nX3512 is free", fontsize=16, style=filled, fillcolor=lightyellow];
717 [label="717: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
718 [label="718: quot(s(s(s(0))), s(s(s(0))), s(s(s(0))), X3512), SCOPE: 106, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(0))), s(s(s(0))), X3512), SCOPE: 106, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(0))), s(s(s(0))), X3512), SCOPE: 106, CLAUSE: 3\n\nX3512 is free", fontsize=16, style=filled, fillcolor=lightyellow];
719 [label="719: quot(s(s(s(0))), s(s(s(0))), s(s(s(0))), X3512), SCOPE: 106, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(0))), s(s(s(0))), X3512), SCOPE: 106, CLAUSE: 3\n\nX3512 is free", fontsize=16, style=filled, fillcolor=lightyellow];
720 [label="720: quot(s(s(s(0))), s(s(s(0))), s(s(s(0))), X3512), SCOPE: 106, CLAUSE: 2\n\nX3512 is free", fontsize=16, style=filled, fillcolor=lightyellow];
721 [label="721: quot(s(s(s(0))), s(s(s(0))), s(s(s(0))), X3512), SCOPE: 106, CLAUSE: 3\n\nX3512 is free", fontsize=16, style=filled, fillcolor=lightyellow];
722 [label="722: quot(s(s(0)), s(s(0)), s(s(s(0))), X3551)\n\nX3551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
723 [label="723: quot(s(s(0)), s(s(0)), s(s(s(0))), X3551), SCOPE: 107, CLAUSE: 1 | quot(s(s(0)), s(s(0)), s(s(s(0))), X3551), SCOPE: 107, CLAUSE: 2 | quot(s(s(0)), s(s(0)), s(s(s(0))), X3551), SCOPE: 107, CLAUSE: 3\n\nX3551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
724 [label="724: quot(s(s(0)), s(s(0)), s(s(s(0))), X3551), SCOPE: 107, CLAUSE: 2 | quot(s(s(0)), s(s(0)), s(s(s(0))), X3551), SCOPE: 107, CLAUSE: 3\n\nX3551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
725 [label="725: quot(s(s(0)), s(s(0)), s(s(s(0))), X3551), SCOPE: 107, CLAUSE: 2\n\nX3551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
726 [label="726: quot(s(s(0)), s(s(0)), s(s(s(0))), X3551), SCOPE: 107, CLAUSE: 3\n\nX3551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
727 [label="727: quot(s(0), s(0), s(s(s(0))), X3590)\n\nX3590 is free", fontsize=16, style=filled, fillcolor=lightyellow];
728 [label="728: quot(s(0), s(0), s(s(s(0))), X3590), SCOPE: 108, CLAUSE: 1 | quot(s(0), s(0), s(s(s(0))), X3590), SCOPE: 108, CLAUSE: 2 | quot(s(0), s(0), s(s(s(0))), X3590), SCOPE: 108, CLAUSE: 3\n\nX3590 is free", fontsize=16, style=filled, fillcolor=lightyellow];
729 [label="729: quot(s(0), s(0), s(s(s(0))), X3590), SCOPE: 108, CLAUSE: 2 | quot(s(0), s(0), s(s(s(0))), X3590), SCOPE: 108, CLAUSE: 3\n\nX3590 is free", fontsize=16, style=filled, fillcolor=lightyellow];
730 [label="730: quot(s(0), s(0), s(s(s(0))), X3590), SCOPE: 108, CLAUSE: 2\n\nX3590 is free", fontsize=16, style=filled, fillcolor=lightyellow];
731 [label="731: quot(s(0), s(0), s(s(s(0))), X3590), SCOPE: 108, CLAUSE: 3\n\nX3590 is free", fontsize=16, style=filled, fillcolor=lightyellow];
732 [label="732: quot(0, 0, s(s(s(0))), X3629)\n\nX3629 is free", fontsize=16, style=filled, fillcolor=lightyellow];
733 [label="733: quot(0, 0, s(s(s(0))), X3629), SCOPE: 109, CLAUSE: 1 | quot(0, 0, s(s(s(0))), X3629), SCOPE: 109, CLAUSE: 2 | quot(0, 0, s(s(s(0))), X3629), SCOPE: 109, CLAUSE: 3\n\nX3629 is free", fontsize=16, style=filled, fillcolor=lightyellow];
734 [label="734: quot(0, 0, s(s(s(0))), X3629), SCOPE: 109, CLAUSE: 2 | quot(0, 0, s(s(s(0))), X3629), SCOPE: 109, CLAUSE: 3\n\nX3629 is free", fontsize=16, style=filled, fillcolor=lightyellow];
735 [label="735: quot(0, 0, s(s(s(0))), X3629), SCOPE: 109, CLAUSE: 3\n\nX3629 is free", fontsize=16, style=filled, fillcolor=lightyellow];
736 [label="736: quot(0, s(s(s(0))), s(s(s(0))), X3653)\n\nX3653 is free", fontsize=16, style=filled, fillcolor=lightyellow];
737 [label="737: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
738 [label="738: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
739 [label="739: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
740 [label="X: quot(s(s(s(0))), s(s(0)), s(s(0)), X3676)\n\nX3676 is free", fontsize=16, style=filled, fillcolor=lightyellow];
741 [label="741: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
742 [label="742: quot(s(s(s(0))), s(s(0)), s(s(0)), X3676), SCOPE: 110, CLAUSE: 1 | quot(s(s(s(0))), s(s(0)), s(s(0)), X3676), SCOPE: 110, CLAUSE: 2 | quot(s(s(s(0))), s(s(0)), s(s(0)), X3676), SCOPE: 110, CLAUSE: 3\n\nX3676 is free", fontsize=16, style=filled, fillcolor=lightyellow];
743 [label="743: quot(s(s(s(0))), s(s(0)), s(s(0)), X3676), SCOPE: 110, CLAUSE: 2 | quot(s(s(s(0))), s(s(0)), s(s(0)), X3676), SCOPE: 110, CLAUSE: 3\n\nX3676 is free", fontsize=16, style=filled, fillcolor=lightyellow];
744 [label="744: quot(s(s(s(0))), s(s(0)), s(s(0)), X3676), SCOPE: 110, CLAUSE: 2\n\nX3676 is free", fontsize=16, style=filled, fillcolor=lightyellow];
745 [label="745: quot(s(s(s(0))), s(s(0)), s(s(0)), X3676), SCOPE: 110, CLAUSE: 3\n\nX3676 is free", fontsize=16, style=filled, fillcolor=lightyellow];
746 [label="746: quot(s(s(0)), s(0), s(s(0)), X3715)\n\nX3715 is free", fontsize=16, style=filled, fillcolor=lightyellow];
747 [label="747: quot(s(s(0)), s(0), s(s(0)), X3715), SCOPE: 111, CLAUSE: 1 | quot(s(s(0)), s(0), s(s(0)), X3715), SCOPE: 111, CLAUSE: 2 | quot(s(s(0)), s(0), s(s(0)), X3715), SCOPE: 111, CLAUSE: 3\n\nX3715 is free", fontsize=16, style=filled, fillcolor=lightyellow];
748 [label="748: quot(s(s(0)), s(0), s(s(0)), X3715), SCOPE: 111, CLAUSE: 2 | quot(s(s(0)), s(0), s(s(0)), X3715), SCOPE: 111, CLAUSE: 3\n\nX3715 is free", fontsize=16, style=filled, fillcolor=lightyellow];
749 [label="749: quot(s(s(0)), s(0), s(s(0)), X3715), SCOPE: 111, CLAUSE: 2\n\nX3715 is free", fontsize=16, style=filled, fillcolor=lightyellow];
750 [label="750: quot(s(s(0)), s(0), s(s(0)), X3715), SCOPE: 111, CLAUSE: 3\n\nX3715 is free", fontsize=16, style=filled, fillcolor=lightyellow];
751 [label="751: quot(s(0), 0, s(s(0)), X3754)\n\nX3754 is free", fontsize=16, style=filled, fillcolor=lightyellow];
752 [label="752: quot(s(0), 0, s(s(0)), X3754), SCOPE: 112, CLAUSE: 1 | quot(s(0), 0, s(s(0)), X3754), SCOPE: 112, CLAUSE: 2 | quot(s(0), 0, s(s(0)), X3754), SCOPE: 112, CLAUSE: 3\n\nX3754 is free", fontsize=16, style=filled, fillcolor=lightyellow];
753 [label="753: quot(s(0), 0, s(s(0)), X3754), SCOPE: 112, CLAUSE: 2 | quot(s(0), 0, s(s(0)), X3754), SCOPE: 112, CLAUSE: 3\n\nX3754 is free", fontsize=16, style=filled, fillcolor=lightyellow];
754 [label="754: quot(s(0), 0, s(s(0)), X3754), SCOPE: 112, CLAUSE: 3\n\nX3754 is free", fontsize=16, style=filled, fillcolor=lightyellow];
755 [label="755: quot(s(0), s(s(0)), s(s(0)), X3780)\n\nX3780 is free", fontsize=16, style=filled, fillcolor=lightyellow];
756 [label="756: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
757 [label="757: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
758 [label="758: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
759 [label="759: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
760 [label="760: times(T432, s(s(T430)), X2296)\n\nT430 is ground\nT432 is ground\nX2296 is free", fontsize=16, style=filled, fillcolor=lightyellow];
761 [label="761: neq(s(s(s(s(s(T430))))), T573)\n\nT430 is ground\nT573 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
762 [label="762: pr(s(s(s(s(s(T424))))), s(T424)), SCOPE: 113, CLAUSE: 5 | pr(s(s(s(s(s(T424))))), s(T424)), SCOPE: 113, CLAUSE: 6\n\nT424 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
763 [label="763: pr(s(s(s(s(s(T424))))), s(T424)), SCOPE: 113, CLAUSE: 5\n\nT424 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
764 [label="764: pr(s(s(s(s(s(T424))))), s(T424)), SCOPE: 113, CLAUSE: 6\n\nT424 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
765 [label="765: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
766 [label="766: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
767 [label="767: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
768 [label="768: ','(not_divides(s(s(T590)), s(s(s(s(s(s(T590))))))), pr(s(s(s(s(s(s(T590)))))), s(T590)))\n\nT590 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
769 [label="769: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
770 [label="N16: not_divides(s(s(T590)), s(s(s(s(s(s(T590)))))))\n\nT590 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
771 [label="771: pr(s(s(s(s(s(s(T590)))))), s(T590))\n\nT590 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
772 [label="772: not_divides(s(s(T590)), s(s(s(s(s(s(T590))))))), SCOPE: 114, CLAUSE: 7\n\nT590 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
773 [label="773: ','(div(s(s(s(s(s(s(T596)))))), s(s(T596)), X3836), ','(times(X3836, s(s(T596)), X3837), neq(s(s(s(s(s(s(T596)))))), X3837)))\n\nT596 is ground\nX3836 is free\nX3837 is free", fontsize=16, style=filled, fillcolor=lightyellow];
774 [label="N17: div(s(s(s(s(s(s(T596)))))), s(s(T596)), X3836)\n\nT596 is ground\nX3836 is free", fontsize=16, style=filled, fillcolor=lightyellow];
775 [label="775: ','(times(T598, s(s(T596)), X3837), neq(s(s(s(s(s(s(T596)))))), X3837))\n\nT596 is ground\nT598 is ground\nX3837 is free", fontsize=16, style=filled, fillcolor=lightyellow];
776 [label="776: div(s(s(s(s(s(s(T596)))))), s(s(T596)), X3836), SCOPE: 115, CLAUSE: 0\n\nT596 is ground\nX3836 is free", fontsize=16, style=filled, fillcolor=lightyellow];
777 [label="777: quot(s(s(s(s(s(s(T602)))))), s(s(T602)), s(s(T602)), X3861)\n\nT602 is ground\nX3861 is free", fontsize=16, style=filled, fillcolor=lightyellow];
778 [label="778: quot(s(s(s(s(s(s(T602)))))), s(s(T602)), s(s(T602)), X3861), SCOPE: 116, CLAUSE: 1 | quot(s(s(s(s(s(s(T602)))))), s(s(T602)), s(s(T602)), X3861), SCOPE: 116, CLAUSE: 2 | quot(s(s(s(s(s(s(T602)))))), s(s(T602)), s(s(T602)), X3861), SCOPE: 116, CLAUSE: 3\n\nT602 is ground\nX3861 is free", fontsize=16, style=filled, fillcolor=lightyellow];
779 [label="779: quot(s(s(s(s(s(s(T602)))))), s(s(T602)), s(s(T602)), X3861), SCOPE: 116, CLAUSE: 2 | quot(s(s(s(s(s(s(T602)))))), s(s(T602)), s(s(T602)), X3861), SCOPE: 116, CLAUSE: 3\n\nT602 is ground\nX3861 is free", fontsize=16, style=filled, fillcolor=lightyellow];
780 [label="780: quot(s(s(s(s(s(s(T602)))))), s(s(T602)), s(s(T602)), X3861), SCOPE: 116, CLAUSE: 2\n\nT602 is ground\nX3861 is free", fontsize=16, style=filled, fillcolor=lightyellow];
781 [label="781: quot(s(s(s(s(s(s(T602)))))), s(s(T602)), s(s(T602)), X3861), SCOPE: 116, CLAUSE: 3\n\nT602 is ground\nX3861 is free", fontsize=16, style=filled, fillcolor=lightyellow];
782 [label="782: quot(s(s(s(s(s(T607))))), s(T607), s(s(T607)), X3900)\n\nT607 is ground\nX3900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
783 [label="783: quot(s(s(s(s(s(T607))))), s(T607), s(s(T607)), X3900), SCOPE: 117, CLAUSE: 1 | quot(s(s(s(s(s(T607))))), s(T607), s(s(T607)), X3900), SCOPE: 117, CLAUSE: 2 | quot(s(s(s(s(s(T607))))), s(T607), s(s(T607)), X3900), SCOPE: 117, CLAUSE: 3\n\nT607 is ground\nX3900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
784 [label="784: quot(s(s(s(s(s(T607))))), s(T607), s(s(T607)), X3900), SCOPE: 117, CLAUSE: 2 | quot(s(s(s(s(s(T607))))), s(T607), s(s(T607)), X3900), SCOPE: 117, CLAUSE: 3\n\nT607 is ground\nX3900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
785 [label="785: quot(s(s(s(s(s(T607))))), s(T607), s(s(T607)), X3900), SCOPE: 117, CLAUSE: 2\n\nT607 is ground\nX3900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
786 [label="786: quot(s(s(s(s(s(T607))))), s(T607), s(s(T607)), X3900), SCOPE: 117, CLAUSE: 3\n\nT607 is ground\nX3900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
787 [label="787: quot(s(s(s(s(T612)))), T612, s(s(T612)), X3939)\n\nT612 is ground\nX3939 is free", fontsize=16, style=filled, fillcolor=lightyellow];
788 [label="788: quot(s(s(s(s(T612)))), T612, s(s(T612)), X3939), SCOPE: 118, CLAUSE: 1 | quot(s(s(s(s(T612)))), T612, s(s(T612)), X3939), SCOPE: 118, CLAUSE: 2 | quot(s(s(s(s(T612)))), T612, s(s(T612)), X3939), SCOPE: 118, CLAUSE: 3\n\nT612 is ground\nX3939 is free", fontsize=16, style=filled, fillcolor=lightyellow];
789 [label="789: quot(s(s(s(s(T612)))), T612, s(s(T612)), X3939), SCOPE: 118, CLAUSE: 2 | quot(s(s(s(s(T612)))), T612, s(s(T612)), X3939), SCOPE: 118, CLAUSE: 3\n\nT612 is ground\nX3939 is free", fontsize=16, style=filled, fillcolor=lightyellow];
790 [label="790: quot(s(s(s(s(T612)))), T612, s(s(T612)), X3939), SCOPE: 118, CLAUSE: 2\n\nT612 is ground\nX3939 is free", fontsize=16, style=filled, fillcolor=lightyellow];
791 [label="791: quot(s(s(s(s(T612)))), T612, s(s(T612)), X3939), SCOPE: 118, CLAUSE: 3\n\nT612 is ground\nX3939 is free", fontsize=16, style=filled, fillcolor=lightyellow];
792 [label="792: quot(s(s(s(s(T622)))), T622, s(s(s(T622))), X3970)\n\nT622 is ground\nX3970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
793 [label="793: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
794 [label="794: quot(s(s(s(s(T622)))), T622, s(s(s(T622))), X3970), SCOPE: 119, CLAUSE: 1 | quot(s(s(s(s(T622)))), T622, s(s(s(T622))), X3970), SCOPE: 119, CLAUSE: 2 | quot(s(s(s(s(T622)))), T622, s(s(s(T622))), X3970), SCOPE: 119, CLAUSE: 3\n\nT622 is ground\nX3970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
795 [label="795: quot(s(s(s(s(T622)))), T622, s(s(s(T622))), X3970), SCOPE: 119, CLAUSE: 2 | quot(s(s(s(s(T622)))), T622, s(s(s(T622))), X3970), SCOPE: 119, CLAUSE: 3\n\nT622 is ground\nX3970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
796 [label="796: quot(s(s(s(s(T622)))), T622, s(s(s(T622))), X3970), SCOPE: 119, CLAUSE: 2\n\nT622 is ground\nX3970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
797 [label="797: quot(s(s(s(s(T622)))), T622, s(s(s(T622))), X3970), SCOPE: 119, CLAUSE: 3\n\nT622 is ground\nX3970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
798 [label="798: quot(s(s(s(s(T632)))), T632, s(s(s(s(T632)))), X4001)\n\nT632 is ground\nX4001 is free", fontsize=16, style=filled, fillcolor=lightyellow];
799 [label="799: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
800 [label="800: quot(s(s(s(s(T632)))), T632, s(s(s(s(T632)))), X4001), SCOPE: 120, CLAUSE: 1 | quot(s(s(s(s(T632)))), T632, s(s(s(s(T632)))), X4001), SCOPE: 120, CLAUSE: 2 | quot(s(s(s(s(T632)))), T632, s(s(s(s(T632)))), X4001), SCOPE: 120, CLAUSE: 3\n\nT632 is ground\nX4001 is free", fontsize=16, style=filled, fillcolor=lightyellow];
801 [label="801: quot(s(s(s(s(T632)))), T632, s(s(s(s(T632)))), X4001), SCOPE: 120, CLAUSE: 2 | quot(s(s(s(s(T632)))), T632, s(s(s(s(T632)))), X4001), SCOPE: 120, CLAUSE: 3\n\nT632 is ground\nX4001 is free", fontsize=16, style=filled, fillcolor=lightyellow];
802 [label="802: quot(s(s(s(s(T632)))), T632, s(s(s(s(T632)))), X4001), SCOPE: 120, CLAUSE: 2\n\nT632 is ground\nX4001 is free", fontsize=16, style=filled, fillcolor=lightyellow];
803 [label="803: quot(s(s(s(s(T632)))), T632, s(s(s(s(T632)))), X4001), SCOPE: 120, CLAUSE: 3\n\nT632 is ground\nX4001 is free", fontsize=16, style=filled, fillcolor=lightyellow];
804 [label="804: quot(s(s(s(s(T642)))), T642, s(s(s(s(s(T642))))), X4032)\n\nT642 is ground\nX4032 is free", fontsize=16, style=filled, fillcolor=lightyellow];
805 [label="805: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
806 [label="806: quot(s(s(s(s(T642)))), T642, s(s(s(s(s(T642))))), X4032), SCOPE: 121, CLAUSE: 1 | quot(s(s(s(s(T642)))), T642, s(s(s(s(s(T642))))), X4032), SCOPE: 121, CLAUSE: 2 | quot(s(s(s(s(T642)))), T642, s(s(s(s(s(T642))))), X4032), SCOPE: 121, CLAUSE: 3\n\nT642 is ground\nX4032 is free", fontsize=16, style=filled, fillcolor=lightyellow];
807 [label="807: quot(s(s(s(s(T642)))), T642, s(s(s(s(s(T642))))), X4032), SCOPE: 121, CLAUSE: 2 | quot(s(s(s(s(T642)))), T642, s(s(s(s(s(T642))))), X4032), SCOPE: 121, CLAUSE: 3\n\nT642 is ground\nX4032 is free", fontsize=16, style=filled, fillcolor=lightyellow];
808 [label="808: quot(s(s(s(s(T642)))), T642, s(s(s(s(s(T642))))), X4032), SCOPE: 121, CLAUSE: 2\n\nT642 is ground\nX4032 is free", fontsize=16, style=filled, fillcolor=lightyellow];
809 [label="809: quot(s(s(s(s(T642)))), T642, s(s(s(s(s(T642))))), X4032), SCOPE: 121, CLAUSE: 3\n\nT642 is ground\nX4032 is free", fontsize=16, style=filled, fillcolor=lightyellow];
810 [label="810: quot(s(s(s(s(T652)))), T652, s(s(s(s(s(s(T652)))))), X4063)\n\nT652 is ground\nX4063 is free", fontsize=16, style=filled, fillcolor=lightyellow];
811 [label="811: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
812 [label="812: quot(s(s(s(s(T652)))), T652, s(s(s(s(s(s(T652)))))), X4063), SCOPE: 122, CLAUSE: 1 | quot(s(s(s(s(T652)))), T652, s(s(s(s(s(s(T652)))))), X4063), SCOPE: 122, CLAUSE: 2 | quot(s(s(s(s(T652)))), T652, s(s(s(s(s(s(T652)))))), X4063), SCOPE: 122, CLAUSE: 3\n\nT652 is ground\nX4063 is free", fontsize=16, style=filled, fillcolor=lightyellow];
813 [label="813: quot(s(s(s(s(T652)))), T652, s(s(s(s(s(s(T652)))))), X4063), SCOPE: 122, CLAUSE: 2 | quot(s(s(s(s(T652)))), T652, s(s(s(s(s(s(T652)))))), X4063), SCOPE: 122, CLAUSE: 3\n\nT652 is ground\nX4063 is free", fontsize=16, style=filled, fillcolor=lightyellow];
814 [label="814: quot(s(s(s(s(T652)))), T652, s(s(s(s(s(s(T652)))))), X4063), SCOPE: 122, CLAUSE: 2\n\nT652 is ground\nX4063 is free", fontsize=16, style=filled, fillcolor=lightyellow];
815 [label="815: quot(s(s(s(s(T652)))), T652, s(s(s(s(s(s(T652)))))), X4063), SCOPE: 122, CLAUSE: 3\n\nT652 is ground\nX4063 is free", fontsize=16, style=filled, fillcolor=lightyellow];
816 [label="816: quot(s(s(s(s(T662)))), T662, s(s(s(s(s(s(s(T662))))))), X4094)\n\nT662 is ground\nX4094 is free", fontsize=16, style=filled, fillcolor=lightyellow];
817 [label="817: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
818 [label="818: quot(s(s(s(s(T662)))), T662, s(s(s(s(s(s(s(T662))))))), X4094), SCOPE: 123, CLAUSE: 1 | quot(s(s(s(s(T662)))), T662, s(s(s(s(s(s(s(T662))))))), X4094), SCOPE: 123, CLAUSE: 2 | quot(s(s(s(s(T662)))), T662, s(s(s(s(s(s(s(T662))))))), X4094), SCOPE: 123, CLAUSE: 3\n\nT662 is ground\nX4094 is free", fontsize=16, style=filled, fillcolor=lightyellow];
819 [label="819: quot(s(s(s(s(T662)))), T662, s(s(s(s(s(s(s(T662))))))), X4094), SCOPE: 123, CLAUSE: 2 | quot(s(s(s(s(T662)))), T662, s(s(s(s(s(s(s(T662))))))), X4094), SCOPE: 123, CLAUSE: 3\n\nT662 is ground\nX4094 is free", fontsize=16, style=filled, fillcolor=lightyellow];
820 [label="820: quot(s(s(s(s(T662)))), T662, s(s(s(s(s(s(s(T662))))))), X4094), SCOPE: 123, CLAUSE: 2\n\nT662 is ground\nX4094 is free", fontsize=16, style=filled, fillcolor=lightyellow];
821 [label="821: quot(s(s(s(s(T662)))), T662, s(s(s(s(s(s(s(T662))))))), X4094), SCOPE: 123, CLAUSE: 3\n\nT662 is ground\nX4094 is free", fontsize=16, style=filled, fillcolor=lightyellow];
822 [label="822: quot(s(s(s(s(T672)))), T672, s(s(s(s(s(s(s(s(T672)))))))), X4125)\n\nT672 is ground\nX4125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
823 [label="823: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
824 [label="O: quot(s(s(s(s(T672)))), T672, s(T673), X4125)\n\nT672 is ground\nT673 is ground\nX4125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
825 [label="825: quot(s(s(s(s(T672)))), T672, s(T673), X4125), SCOPE: 124, CLAUSE: 1 | quot(s(s(s(s(T672)))), T672, s(T673), X4125), SCOPE: 124, CLAUSE: 2 | quot(s(s(s(s(T672)))), T672, s(T673), X4125), SCOPE: 124, CLAUSE: 3\n\nT672 is ground\nT673 is ground\nX4125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
826 [label="826: quot(s(s(s(s(T672)))), T672, s(T673), X4125), SCOPE: 124, CLAUSE: 2 | quot(s(s(s(s(T672)))), T672, s(T673), X4125), SCOPE: 124, CLAUSE: 3\n\nT672 is ground\nT673 is ground\nX4125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
827 [label="827: quot(s(s(s(s(T672)))), T672, s(T673), X4125), SCOPE: 124, CLAUSE: 2\n\nT672 is ground\nT673 is ground\nX4125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
828 [label="828: quot(s(s(s(s(T672)))), T672, s(T673), X4125), SCOPE: 124, CLAUSE: 3\n\nT672 is ground\nT673 is ground\nX4125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
829 [label="829: quot(s(s(s(s(T687)))), T687, s(T688), X4160)\n\nT687 is ground\nT688 is ground\nX4160 is free", fontsize=16, style=filled, fillcolor=lightyellow];
830 [label="830: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
831 [label="831: quot(s(s(s(s(0)))), s(T694), s(T694), X4176)\n\nT694 is ground\nX4176 is free", fontsize=16, style=filled, fillcolor=lightyellow];
832 [label="832: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
833 [label="833: quot(s(s(s(s(0)))), s(T694), s(T694), X4176), SCOPE: 125, CLAUSE: 1 | quot(s(s(s(s(0)))), s(T694), s(T694), X4176), SCOPE: 125, CLAUSE: 2 | quot(s(s(s(s(0)))), s(T694), s(T694), X4176), SCOPE: 125, CLAUSE: 3\n\nT694 is ground\nX4176 is free", fontsize=16, style=filled, fillcolor=lightyellow];
834 [label="834: quot(s(s(s(s(0)))), s(T694), s(T694), X4176), SCOPE: 125, CLAUSE: 2 | quot(s(s(s(s(0)))), s(T694), s(T694), X4176), SCOPE: 125, CLAUSE: 3\n\nT694 is ground\nX4176 is free", fontsize=16, style=filled, fillcolor=lightyellow];
835 [label="835: quot(s(s(s(s(0)))), s(T694), s(T694), X4176), SCOPE: 125, CLAUSE: 2\n\nT694 is ground\nX4176 is free", fontsize=16, style=filled, fillcolor=lightyellow];
836 [label="836: quot(s(s(s(s(0)))), s(T694), s(T694), X4176), SCOPE: 125, CLAUSE: 3\n\nT694 is ground\nX4176 is free", fontsize=16, style=filled, fillcolor=lightyellow];
837 [label="837: quot(s(s(s(0))), T699, s(T699), X4215)\n\nT699 is ground\nX4215 is free", fontsize=16, style=filled, fillcolor=lightyellow];
838 [label="838: quot(s(s(s(0))), T699, s(T699), X4215), SCOPE: 126, CLAUSE: 1 | quot(s(s(s(0))), T699, s(T699), X4215), SCOPE: 126, CLAUSE: 2 | quot(s(s(s(0))), T699, s(T699), X4215), SCOPE: 126, CLAUSE: 3\n\nT699 is ground\nX4215 is free", fontsize=16, style=filled, fillcolor=lightyellow];
839 [label="839: quot(s(s(s(0))), T699, s(T699), X4215), SCOPE: 126, CLAUSE: 2 | quot(s(s(s(0))), T699, s(T699), X4215), SCOPE: 126, CLAUSE: 3\n\nT699 is ground\nX4215 is free", fontsize=16, style=filled, fillcolor=lightyellow];
840 [label="840: quot(s(s(s(0))), T699, s(T699), X4215), SCOPE: 126, CLAUSE: 2\n\nT699 is ground\nX4215 is free", fontsize=16, style=filled, fillcolor=lightyellow];
841 [label="841: quot(s(s(s(0))), T699, s(T699), X4215), SCOPE: 126, CLAUSE: 3\n\nT699 is ground\nX4215 is free", fontsize=16, style=filled, fillcolor=lightyellow];
842 [label="842: quot(s(s(0)), T704, s(s(T704)), X4246)\n\nT704 is ground\nX4246 is free", fontsize=16, style=filled, fillcolor=lightyellow];
843 [label="843: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
844 [label="844: quot(s(s(0)), T704, s(s(T704)), X4246), SCOPE: 127, CLAUSE: 1 | quot(s(s(0)), T704, s(s(T704)), X4246), SCOPE: 127, CLAUSE: 2 | quot(s(s(0)), T704, s(s(T704)), X4246), SCOPE: 127, CLAUSE: 3\n\nT704 is ground\nX4246 is free", fontsize=16, style=filled, fillcolor=lightyellow];
845 [label="845: quot(s(s(0)), T704, s(s(T704)), X4246), SCOPE: 127, CLAUSE: 2 | quot(s(s(0)), T704, s(s(T704)), X4246), SCOPE: 127, CLAUSE: 3\n\nT704 is ground\nX4246 is free", fontsize=16, style=filled, fillcolor=lightyellow];
846 [label="846: quot(s(s(0)), T704, s(s(T704)), X4246), SCOPE: 127, CLAUSE: 2\n\nT704 is ground\nX4246 is free", fontsize=16, style=filled, fillcolor=lightyellow];
847 [label="847: quot(s(s(0)), T704, s(s(T704)), X4246), SCOPE: 127, CLAUSE: 3\n\nT704 is ground\nX4246 is free", fontsize=16, style=filled, fillcolor=lightyellow];
848 [label="848: quot(s(0), T709, s(s(s(T709))), X4277)\n\nT709 is ground\nX4277 is free", fontsize=16, style=filled, fillcolor=lightyellow];
849 [label="849: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
850 [label="850: quot(s(0), T709, s(s(s(T709))), X4277), SCOPE: 128, CLAUSE: 1 | quot(s(0), T709, s(s(s(T709))), X4277), SCOPE: 128, CLAUSE: 2 | quot(s(0), T709, s(s(s(T709))), X4277), SCOPE: 128, CLAUSE: 3\n\nT709 is ground\nX4277 is free", fontsize=16, style=filled, fillcolor=lightyellow];
851 [label="851: quot(s(0), T709, s(s(s(T709))), X4277), SCOPE: 128, CLAUSE: 2 | quot(s(0), T709, s(s(s(T709))), X4277), SCOPE: 128, CLAUSE: 3\n\nT709 is ground\nX4277 is free", fontsize=16, style=filled, fillcolor=lightyellow];
852 [label="852: quot(s(0), T709, s(s(s(T709))), X4277), SCOPE: 128, CLAUSE: 2\n\nT709 is ground\nX4277 is free", fontsize=16, style=filled, fillcolor=lightyellow];
853 [label="853: quot(s(0), T709, s(s(s(T709))), X4277), SCOPE: 128, CLAUSE: 3\n\nT709 is ground\nX4277 is free", fontsize=16, style=filled, fillcolor=lightyellow];
854 [label="854: quot(0, T714, s(s(s(s(T714)))), X4308)\n\nT714 is ground\nX4308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
855 [label="855: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
856 [label="856: quot(0, T714, s(s(s(s(T714)))), X4308), SCOPE: 129, CLAUSE: 1 | quot(0, T714, s(s(s(s(T714)))), X4308), SCOPE: 129, CLAUSE: 2 | quot(0, T714, s(s(s(s(T714)))), X4308), SCOPE: 129, CLAUSE: 3\n\nT714 is ground\nX4308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
857 [label="857: quot(0, T714, s(s(s(s(T714)))), X4308), SCOPE: 129, CLAUSE: 1\n\nT714 is ground\nX4308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
858 [label="858: quot(0, T714, s(s(s(s(T714)))), X4308), SCOPE: 129, CLAUSE: 2 | quot(0, T714, s(s(s(s(T714)))), X4308), SCOPE: 129, CLAUSE: 3\n\nT714 is ground\nX4308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
859 [label="859: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
860 [label="860: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
861 [label="861: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
862 [label="862: quot(0, T714, s(s(s(s(T714)))), X4308), SCOPE: 129, CLAUSE: 3\n\nT714 is ground\nX4308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
863 [label="P: quot(0, s(s(s(s(0)))), s(s(s(s(0)))), X4338)\n\nX4338 is free", fontsize=16, style=filled, fillcolor=lightyellow];
864 [label="864: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
865 [label="865: quot(0, s(s(s(s(0)))), s(s(s(s(0)))), X4338), SCOPE: 130, CLAUSE: 1 | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), X4338), SCOPE: 130, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), X4338), SCOPE: 130, CLAUSE: 3\n\nX4338 is free", fontsize=16, style=filled, fillcolor=lightyellow];
866 [label="866: quot(0, s(s(s(s(0)))), s(s(s(s(0)))), X4338), SCOPE: 130, CLAUSE: 1\n\nX4338 is free", fontsize=16, style=filled, fillcolor=lightyellow];
867 [label="867: quot(0, s(s(s(s(0)))), s(s(s(s(0)))), X4338), SCOPE: 130, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), X4338), SCOPE: 130, CLAUSE: 3\n\nX4338 is free", fontsize=16, style=filled, fillcolor=lightyellow];
868 [label="868: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
869 [label="869: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
870 [label="870: quot(0, s(s(s(s(0)))), s(s(s(s(0)))), X4338), SCOPE: 130, CLAUSE: 3\n\nX4338 is free", fontsize=16, style=filled, fillcolor=lightyellow];
871 [label="871: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
872 [label="872: quot(s(0), s(s(s(0))), s(s(s(0))), X4369)\n\nX4369 is free", fontsize=16, style=filled, fillcolor=lightyellow];
873 [label="873: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
874 [label="874: quot(s(s(0)), s(s(0)), s(s(0)), X4385)\n\nX4385 is free", fontsize=16, style=filled, fillcolor=lightyellow];
875 [label="875: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
876 [label="S: quot(s(s(s(0))), s(0), s(0), X4401)\n\nX4401 is free", fontsize=16, style=filled, fillcolor=lightyellow];
877 [label="877: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
878 [label="878: quot(s(s(s(0))), s(0), s(0), X4401), SCOPE: 131, CLAUSE: 1 | quot(s(s(s(0))), s(0), s(0), X4401), SCOPE: 131, CLAUSE: 2 | quot(s(s(s(0))), s(0), s(0), X4401), SCOPE: 131, CLAUSE: 3\n\nX4401 is free", fontsize=16, style=filled, fillcolor=lightyellow];
879 [label="879: quot(s(s(s(0))), s(0), s(0), X4401), SCOPE: 131, CLAUSE: 2 | quot(s(s(s(0))), s(0), s(0), X4401), SCOPE: 131, CLAUSE: 3\n\nX4401 is free", fontsize=16, style=filled, fillcolor=lightyellow];
880 [label="880: quot(s(s(s(0))), s(0), s(0), X4401), SCOPE: 131, CLAUSE: 2\n\nX4401 is free", fontsize=16, style=filled, fillcolor=lightyellow];
881 [label="881: quot(s(s(s(0))), s(0), s(0), X4401), SCOPE: 131, CLAUSE: 3\n\nX4401 is free", fontsize=16, style=filled, fillcolor=lightyellow];
882 [label="882: quot(s(s(0)), 0, s(0), X4440)\n\nX4440 is free", fontsize=16, style=filled, fillcolor=lightyellow];
883 [label="883: quot(s(s(0)), 0, s(0), X4440), SCOPE: 132, CLAUSE: 1 | quot(s(s(0)), 0, s(0), X4440), SCOPE: 132, CLAUSE: 2 | quot(s(s(0)), 0, s(0), X4440), SCOPE: 132, CLAUSE: 3\n\nX4440 is free", fontsize=16, style=filled, fillcolor=lightyellow];
884 [label="884: quot(s(s(0)), 0, s(0), X4440), SCOPE: 132, CLAUSE: 2 | quot(s(s(0)), 0, s(0), X4440), SCOPE: 132, CLAUSE: 3\n\nX4440 is free", fontsize=16, style=filled, fillcolor=lightyellow];
885 [label="885: quot(s(s(0)), 0, s(0), X4440), SCOPE: 132, CLAUSE: 3\n\nX4440 is free", fontsize=16, style=filled, fillcolor=lightyellow];
886 [label="886: quot(s(s(0)), s(0), s(0), X4466)\n\nX4466 is free", fontsize=16, style=filled, fillcolor=lightyellow];
887 [label="887: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
888 [label="888: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
889 [label="889: quot(s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4488)\n\nX4488 is free", fontsize=16, style=filled, fillcolor=lightyellow];
890 [label="890: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
891 [label="891: quot(s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4488), SCOPE: 133, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4488), SCOPE: 133, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4488), SCOPE: 133, CLAUSE: 3\n\nX4488 is free", fontsize=16, style=filled, fillcolor=lightyellow];
892 [label="892: quot(s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4488), SCOPE: 133, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4488), SCOPE: 133, CLAUSE: 3\n\nX4488 is free", fontsize=16, style=filled, fillcolor=lightyellow];
893 [label="893: quot(s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4488), SCOPE: 133, CLAUSE: 2\n\nX4488 is free", fontsize=16, style=filled, fillcolor=lightyellow];
894 [label="894: quot(s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4488), SCOPE: 133, CLAUSE: 3\n\nX4488 is free", fontsize=16, style=filled, fillcolor=lightyellow];
895 [label="895: quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X4527)\n\nX4527 is free", fontsize=16, style=filled, fillcolor=lightyellow];
896 [label="896: quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X4527), SCOPE: 134, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X4527), SCOPE: 134, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X4527), SCOPE: 134, CLAUSE: 3\n\nX4527 is free", fontsize=16, style=filled, fillcolor=lightyellow];
897 [label="897: quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X4527), SCOPE: 134, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X4527), SCOPE: 134, CLAUSE: 3\n\nX4527 is free", fontsize=16, style=filled, fillcolor=lightyellow];
898 [label="898: quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X4527), SCOPE: 134, CLAUSE: 2\n\nX4527 is free", fontsize=16, style=filled, fillcolor=lightyellow];
899 [label="899: quot(s(s(s(0))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X4527), SCOPE: 134, CLAUSE: 3\n\nX4527 is free", fontsize=16, style=filled, fillcolor=lightyellow];
900 [label="900: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X4566)\n\nX4566 is free", fontsize=16, style=filled, fillcolor=lightyellow];
901 [label="901: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X4566), SCOPE: 135, CLAUSE: 1 | quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X4566), SCOPE: 135, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X4566), SCOPE: 135, CLAUSE: 3\n\nX4566 is free", fontsize=16, style=filled, fillcolor=lightyellow];
902 [label="902: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X4566), SCOPE: 135, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X4566), SCOPE: 135, CLAUSE: 3\n\nX4566 is free", fontsize=16, style=filled, fillcolor=lightyellow];
903 [label="903: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X4566), SCOPE: 135, CLAUSE: 2\n\nX4566 is free", fontsize=16, style=filled, fillcolor=lightyellow];
904 [label="904: quot(s(s(0)), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X4566), SCOPE: 135, CLAUSE: 3\n\nX4566 is free", fontsize=16, style=filled, fillcolor=lightyellow];
905 [label="905: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X4605)\n\nX4605 is free", fontsize=16, style=filled, fillcolor=lightyellow];
906 [label="906: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X4605), SCOPE: 136, CLAUSE: 1 | quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X4605), SCOPE: 136, CLAUSE: 2 | quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X4605), SCOPE: 136, CLAUSE: 3\n\nX4605 is free", fontsize=16, style=filled, fillcolor=lightyellow];
907 [label="907: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X4605), SCOPE: 136, CLAUSE: 2 | quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X4605), SCOPE: 136, CLAUSE: 3\n\nX4605 is free", fontsize=16, style=filled, fillcolor=lightyellow];
908 [label="908: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X4605), SCOPE: 136, CLAUSE: 2\n\nX4605 is free", fontsize=16, style=filled, fillcolor=lightyellow];
909 [label="909: quot(s(0), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X4605), SCOPE: 136, CLAUSE: 3\n\nX4605 is free", fontsize=16, style=filled, fillcolor=lightyellow];
910 [label="910: quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X4640)\n\nX4640 is free", fontsize=16, style=filled, fillcolor=lightyellow];
911 [label="911: quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X4640), SCOPE: 137, CLAUSE: 1 | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X4640), SCOPE: 137, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X4640), SCOPE: 137, CLAUSE: 3\n\nX4640 is free", fontsize=16, style=filled, fillcolor=lightyellow];
912 [label="912: quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X4640), SCOPE: 137, CLAUSE: 1\n\nX4640 is free", fontsize=16, style=filled, fillcolor=lightyellow];
913 [label="913: quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X4640), SCOPE: 137, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X4640), SCOPE: 137, CLAUSE: 3\n\nX4640 is free", fontsize=16, style=filled, fillcolor=lightyellow];
914 [label="914: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
915 [label="915: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
916 [label="916: quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X4640), SCOPE: 137, CLAUSE: 3\n\nX4640 is free", fontsize=16, style=filled, fillcolor=lightyellow];
917 [label="917: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
918 [label="918: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
919 [label="919: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
920 [label="920: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
921 [label="921: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
922 [label="922: quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4683)\n\nX4683 is free", fontsize=16, style=filled, fillcolor=lightyellow];
923 [label="923: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
924 [label="924: quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4683), SCOPE: 138, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4683), SCOPE: 138, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4683), SCOPE: 138, CLAUSE: 3\n\nX4683 is free", fontsize=16, style=filled, fillcolor=lightyellow];
925 [label="925: quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4683), SCOPE: 138, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4683), SCOPE: 138, CLAUSE: 3\n\nX4683 is free", fontsize=16, style=filled, fillcolor=lightyellow];
926 [label="926: quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4683), SCOPE: 138, CLAUSE: 2\n\nX4683 is free", fontsize=16, style=filled, fillcolor=lightyellow];
927 [label="927: quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4683), SCOPE: 138, CLAUSE: 3\n\nX4683 is free", fontsize=16, style=filled, fillcolor=lightyellow];
928 [label="928: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X4722)\n\nX4722 is free", fontsize=16, style=filled, fillcolor=lightyellow];
929 [label="929: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X4722), SCOPE: 139, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X4722), SCOPE: 139, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X4722), SCOPE: 139, CLAUSE: 3\n\nX4722 is free", fontsize=16, style=filled, fillcolor=lightyellow];
930 [label="930: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X4722), SCOPE: 139, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X4722), SCOPE: 139, CLAUSE: 3\n\nX4722 is free", fontsize=16, style=filled, fillcolor=lightyellow];
931 [label="931: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X4722), SCOPE: 139, CLAUSE: 2\n\nX4722 is free", fontsize=16, style=filled, fillcolor=lightyellow];
932 [label="932: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X4722), SCOPE: 139, CLAUSE: 3\n\nX4722 is free", fontsize=16, style=filled, fillcolor=lightyellow];
933 [label="933: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X4761)\n\nX4761 is free", fontsize=16, style=filled, fillcolor=lightyellow];
934 [label="934: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X4761), SCOPE: 140, CLAUSE: 1 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X4761), SCOPE: 140, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X4761), SCOPE: 140, CLAUSE: 3\n\nX4761 is free", fontsize=16, style=filled, fillcolor=lightyellow];
935 [label="935: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X4761), SCOPE: 140, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X4761), SCOPE: 140, CLAUSE: 3\n\nX4761 is free", fontsize=16, style=filled, fillcolor=lightyellow];
936 [label="936: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X4761), SCOPE: 140, CLAUSE: 2\n\nX4761 is free", fontsize=16, style=filled, fillcolor=lightyellow];
937 [label="937: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X4761), SCOPE: 140, CLAUSE: 3\n\nX4761 is free", fontsize=16, style=filled, fillcolor=lightyellow];
938 [label="938: quot(s(0), s(s(s(0))), s(s(s(s(s(s(0)))))), X4800)\n\nX4800 is free", fontsize=16, style=filled, fillcolor=lightyellow];
939 [label="939: quot(s(0), s(s(s(0))), s(s(s(s(s(s(0)))))), X4800), SCOPE: 141, CLAUSE: 1 | quot(s(0), s(s(s(0))), s(s(s(s(s(s(0)))))), X4800), SCOPE: 141, CLAUSE: 2 | quot(s(0), s(s(s(0))), s(s(s(s(s(s(0)))))), X4800), SCOPE: 141, CLAUSE: 3\n\nX4800 is free", fontsize=16, style=filled, fillcolor=lightyellow];
940 [label="940: quot(s(0), s(s(s(0))), s(s(s(s(s(s(0)))))), X4800), SCOPE: 141, CLAUSE: 2 | quot(s(0), s(s(s(0))), s(s(s(s(s(s(0)))))), X4800), SCOPE: 141, CLAUSE: 3\n\nX4800 is free", fontsize=16, style=filled, fillcolor=lightyellow];
941 [label="941: quot(s(0), s(s(s(0))), s(s(s(s(s(s(0)))))), X4800), SCOPE: 141, CLAUSE: 2\n\nX4800 is free", fontsize=16, style=filled, fillcolor=lightyellow];
942 [label="942: quot(s(0), s(s(s(0))), s(s(s(s(s(s(0)))))), X4800), SCOPE: 141, CLAUSE: 3\n\nX4800 is free", fontsize=16, style=filled, fillcolor=lightyellow];
943 [label="943: quot(0, s(s(0)), s(s(s(s(s(s(0)))))), X4835)\n\nX4835 is free", fontsize=16, style=filled, fillcolor=lightyellow];
944 [label="944: quot(0, s(s(0)), s(s(s(s(s(s(0)))))), X4835), SCOPE: 142, CLAUSE: 1 | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), X4835), SCOPE: 142, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), X4835), SCOPE: 142, CLAUSE: 3\n\nX4835 is free", fontsize=16, style=filled, fillcolor=lightyellow];
945 [label="945: quot(0, s(s(0)), s(s(s(s(s(s(0)))))), X4835), SCOPE: 142, CLAUSE: 1\n\nX4835 is free", fontsize=16, style=filled, fillcolor=lightyellow];
946 [label="946: quot(0, s(s(0)), s(s(s(s(s(s(0)))))), X4835), SCOPE: 142, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), X4835), SCOPE: 142, CLAUSE: 3\n\nX4835 is free", fontsize=16, style=filled, fillcolor=lightyellow];
947 [label="947: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
948 [label="948: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
949 [label="949: quot(0, s(s(0)), s(s(s(s(s(s(0)))))), X4835), SCOPE: 142, CLAUSE: 3\n\nX4835 is free", fontsize=16, style=filled, fillcolor=lightyellow];
950 [label="950: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
951 [label="951: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
952 [label="952: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
953 [label="953: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
954 [label="954: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
955 [label="955: quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4878)\n\nX4878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
956 [label="956: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
957 [label="957: quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4878), SCOPE: 143, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4878), SCOPE: 143, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4878), SCOPE: 143, CLAUSE: 3\n\nX4878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
958 [label="958: quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4878), SCOPE: 143, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4878), SCOPE: 143, CLAUSE: 3\n\nX4878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
959 [label="959: quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4878), SCOPE: 143, CLAUSE: 2\n\nX4878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
960 [label="960: quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4878), SCOPE: 143, CLAUSE: 3\n\nX4878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
961 [label="961: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(0))))), X4917)\n\nX4917 is free", fontsize=16, style=filled, fillcolor=lightyellow];
962 [label="962: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(0))))), X4917), SCOPE: 144, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(0))))), X4917), SCOPE: 144, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(0))))), X4917), SCOPE: 144, CLAUSE: 3\n\nX4917 is free", fontsize=16, style=filled, fillcolor=lightyellow];
963 [label="963: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(0))))), X4917), SCOPE: 144, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(0))))), X4917), SCOPE: 144, CLAUSE: 3\n\nX4917 is free", fontsize=16, style=filled, fillcolor=lightyellow];
964 [label="964: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(0))))), X4917), SCOPE: 144, CLAUSE: 2\n\nX4917 is free", fontsize=16, style=filled, fillcolor=lightyellow];
965 [label="965: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(0))))), X4917), SCOPE: 144, CLAUSE: 3\n\nX4917 is free", fontsize=16, style=filled, fillcolor=lightyellow];
966 [label="966: quot(s(s(0)), s(s(s(0))), s(s(s(s(s(0))))), X4956)\n\nX4956 is free", fontsize=16, style=filled, fillcolor=lightyellow];
967 [label="967: quot(s(s(0)), s(s(s(0))), s(s(s(s(s(0))))), X4956), SCOPE: 145, CLAUSE: 1 | quot(s(s(0)), s(s(s(0))), s(s(s(s(s(0))))), X4956), SCOPE: 145, CLAUSE: 2 | quot(s(s(0)), s(s(s(0))), s(s(s(s(s(0))))), X4956), SCOPE: 145, CLAUSE: 3\n\nX4956 is free", fontsize=16, style=filled, fillcolor=lightyellow];
968 [label="968: quot(s(s(0)), s(s(s(0))), s(s(s(s(s(0))))), X4956), SCOPE: 145, CLAUSE: 2 | quot(s(s(0)), s(s(s(0))), s(s(s(s(s(0))))), X4956), SCOPE: 145, CLAUSE: 3\n\nX4956 is free", fontsize=16, style=filled, fillcolor=lightyellow];
969 [label="969: quot(s(s(0)), s(s(s(0))), s(s(s(s(s(0))))), X4956), SCOPE: 145, CLAUSE: 2\n\nX4956 is free", fontsize=16, style=filled, fillcolor=lightyellow];
970 [label="970: quot(s(s(0)), s(s(s(0))), s(s(s(s(s(0))))), X4956), SCOPE: 145, CLAUSE: 3\n\nX4956 is free", fontsize=16, style=filled, fillcolor=lightyellow];
971 [label="971: quot(s(0), s(s(0)), s(s(s(s(s(0))))), X4995)\n\nX4995 is free", fontsize=16, style=filled, fillcolor=lightyellow];
972 [label="972: quot(s(0), s(s(0)), s(s(s(s(s(0))))), X4995), SCOPE: 146, CLAUSE: 1 | quot(s(0), s(s(0)), s(s(s(s(s(0))))), X4995), SCOPE: 146, CLAUSE: 2 | quot(s(0), s(s(0)), s(s(s(s(s(0))))), X4995), SCOPE: 146, CLAUSE: 3\n\nX4995 is free", fontsize=16, style=filled, fillcolor=lightyellow];
973 [label="973: quot(s(0), s(s(0)), s(s(s(s(s(0))))), X4995), SCOPE: 146, CLAUSE: 2 | quot(s(0), s(s(0)), s(s(s(s(s(0))))), X4995), SCOPE: 146, CLAUSE: 3\n\nX4995 is free", fontsize=16, style=filled, fillcolor=lightyellow];
974 [label="974: quot(s(0), s(s(0)), s(s(s(s(s(0))))), X4995), SCOPE: 146, CLAUSE: 2\n\nX4995 is free", fontsize=16, style=filled, fillcolor=lightyellow];
975 [label="975: quot(s(0), s(s(0)), s(s(s(s(s(0))))), X4995), SCOPE: 146, CLAUSE: 3\n\nX4995 is free", fontsize=16, style=filled, fillcolor=lightyellow];
976 [label="976: quot(0, s(0), s(s(s(s(s(0))))), X5030)\n\nX5030 is free", fontsize=16, style=filled, fillcolor=lightyellow];
977 [label="977: quot(0, s(0), s(s(s(s(s(0))))), X5030), SCOPE: 147, CLAUSE: 1 | quot(0, s(0), s(s(s(s(s(0))))), X5030), SCOPE: 147, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(0))))), X5030), SCOPE: 147, CLAUSE: 3\n\nX5030 is free", fontsize=16, style=filled, fillcolor=lightyellow];
978 [label="978: quot(0, s(0), s(s(s(s(s(0))))), X5030), SCOPE: 147, CLAUSE: 1\n\nX5030 is free", fontsize=16, style=filled, fillcolor=lightyellow];
979 [label="979: quot(0, s(0), s(s(s(s(s(0))))), X5030), SCOPE: 147, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(0))))), X5030), SCOPE: 147, CLAUSE: 3\n\nX5030 is free", fontsize=16, style=filled, fillcolor=lightyellow];
980 [label="980: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
981 [label="981: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
982 [label="982: quot(0, s(0), s(s(s(s(s(0))))), X5030), SCOPE: 147, CLAUSE: 3\n\nX5030 is free", fontsize=16, style=filled, fillcolor=lightyellow];
983 [label="983: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
984 [label="984: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
985 [label="985: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
986 [label="986: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
987 [label="987: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
988 [label="988: quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(0)))), X5073)\n\nX5073 is free", fontsize=16, style=filled, fillcolor=lightyellow];
989 [label="989: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
990 [label="990: quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(0)))), X5073), SCOPE: 148, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(0)))), X5073), SCOPE: 148, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(0)))), X5073), SCOPE: 148, CLAUSE: 3\n\nX5073 is free", fontsize=16, style=filled, fillcolor=lightyellow];
991 [label="991: quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(0)))), X5073), SCOPE: 148, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(0)))), X5073), SCOPE: 148, CLAUSE: 3\n\nX5073 is free", fontsize=16, style=filled, fillcolor=lightyellow];
992 [label="992: quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(0)))), X5073), SCOPE: 148, CLAUSE: 2\n\nX5073 is free", fontsize=16, style=filled, fillcolor=lightyellow];
993 [label="993: quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(0)))), X5073), SCOPE: 148, CLAUSE: 3\n\nX5073 is free", fontsize=16, style=filled, fillcolor=lightyellow];
994 [label="994: quot(s(s(s(0))), s(s(s(0))), s(s(s(s(0)))), X5112)\n\nX5112 is free", fontsize=16, style=filled, fillcolor=lightyellow];
995 [label="995: quot(s(s(s(0))), s(s(s(0))), s(s(s(s(0)))), X5112), SCOPE: 149, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(0))), s(s(s(s(0)))), X5112), SCOPE: 149, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(0))), s(s(s(s(0)))), X5112), SCOPE: 149, CLAUSE: 3\n\nX5112 is free", fontsize=16, style=filled, fillcolor=lightyellow];
996 [label="996: quot(s(s(s(0))), s(s(s(0))), s(s(s(s(0)))), X5112), SCOPE: 149, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(0))), s(s(s(s(0)))), X5112), SCOPE: 149, CLAUSE: 3\n\nX5112 is free", fontsize=16, style=filled, fillcolor=lightyellow];
997 [label="997: quot(s(s(s(0))), s(s(s(0))), s(s(s(s(0)))), X5112), SCOPE: 149, CLAUSE: 2\n\nX5112 is free", fontsize=16, style=filled, fillcolor=lightyellow];
998 [label="998: quot(s(s(s(0))), s(s(s(0))), s(s(s(s(0)))), X5112), SCOPE: 149, CLAUSE: 3\n\nX5112 is free", fontsize=16, style=filled, fillcolor=lightyellow];
999 [label="999: quot(s(s(0)), s(s(0)), s(s(s(s(0)))), X5151)\n\nX5151 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1000 [label="1000: quot(s(s(0)), s(s(0)), s(s(s(s(0)))), X5151), SCOPE: 150, CLAUSE: 1 | quot(s(s(0)), s(s(0)), s(s(s(s(0)))), X5151), SCOPE: 150, CLAUSE: 2 | quot(s(s(0)), s(s(0)), s(s(s(s(0)))), X5151), SCOPE: 150, CLAUSE: 3\n\nX5151 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1001 [label="1001: quot(s(s(0)), s(s(0)), s(s(s(s(0)))), X5151), SCOPE: 150, CLAUSE: 2 | quot(s(s(0)), s(s(0)), s(s(s(s(0)))), X5151), SCOPE: 150, CLAUSE: 3\n\nX5151 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1002 [label="1002: quot(s(s(0)), s(s(0)), s(s(s(s(0)))), X5151), SCOPE: 150, CLAUSE: 2\n\nX5151 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1003 [label="1003: quot(s(s(0)), s(s(0)), s(s(s(s(0)))), X5151), SCOPE: 150, CLAUSE: 3\n\nX5151 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1004 [label="1004: quot(s(0), s(0), s(s(s(s(0)))), X5190)\n\nX5190 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1005 [label="1005: quot(s(0), s(0), s(s(s(s(0)))), X5190), SCOPE: 151, CLAUSE: 1 | quot(s(0), s(0), s(s(s(s(0)))), X5190), SCOPE: 151, CLAUSE: 2 | quot(s(0), s(0), s(s(s(s(0)))), X5190), SCOPE: 151, CLAUSE: 3\n\nX5190 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1006 [label="1006: quot(s(0), s(0), s(s(s(s(0)))), X5190), SCOPE: 151, CLAUSE: 2 | quot(s(0), s(0), s(s(s(s(0)))), X5190), SCOPE: 151, CLAUSE: 3\n\nX5190 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1007 [label="1007: quot(s(0), s(0), s(s(s(s(0)))), X5190), SCOPE: 151, CLAUSE: 2\n\nX5190 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1008 [label="1008: quot(s(0), s(0), s(s(s(s(0)))), X5190), SCOPE: 151, CLAUSE: 3\n\nX5190 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1009 [label="1009: quot(0, 0, s(s(s(s(0)))), X5229)\n\nX5229 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1010 [label="1010: quot(0, 0, s(s(s(s(0)))), X5229), SCOPE: 152, CLAUSE: 1 | quot(0, 0, s(s(s(s(0)))), X5229), SCOPE: 152, CLAUSE: 2 | quot(0, 0, s(s(s(s(0)))), X5229), SCOPE: 152, CLAUSE: 3\n\nX5229 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1011 [label="1011: quot(0, 0, s(s(s(s(0)))), X5229), SCOPE: 152, CLAUSE: 2 | quot(0, 0, s(s(s(s(0)))), X5229), SCOPE: 152, CLAUSE: 3\n\nX5229 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1012 [label="1012: quot(0, 0, s(s(s(s(0)))), X5229), SCOPE: 152, CLAUSE: 3\n\nX5229 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1013 [label="1013: quot(0, s(s(s(s(0)))), s(s(s(s(0)))), X5253)\n\nX5253 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1014 [label="1014: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1015 [label="1015: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1016 [label="1016: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1017 [label="1017: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1018 [label="1018: quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(0))), X5279)\n\nX5279 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1019 [label="1019: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1020 [label="1020: quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(0))), X5279), SCOPE: 153, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(0))), X5279), SCOPE: 153, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(0))), X5279), SCOPE: 153, CLAUSE: 3\n\nX5279 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1021 [label="1021: quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(0))), X5279), SCOPE: 153, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(0))), X5279), SCOPE: 153, CLAUSE: 3\n\nX5279 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1022 [label="1022: quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(0))), X5279), SCOPE: 153, CLAUSE: 2\n\nX5279 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1023 [label="1023: quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(0))), X5279), SCOPE: 153, CLAUSE: 3\n\nX5279 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1024 [label="1024: quot(s(s(s(0))), s(s(0)), s(s(s(0))), X5318)\n\nX5318 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1025 [label="1025: quot(s(s(s(0))), s(s(0)), s(s(s(0))), X5318), SCOPE: 154, CLAUSE: 1 | quot(s(s(s(0))), s(s(0)), s(s(s(0))), X5318), SCOPE: 154, CLAUSE: 2 | quot(s(s(s(0))), s(s(0)), s(s(s(0))), X5318), SCOPE: 154, CLAUSE: 3\n\nX5318 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1026 [label="1026: quot(s(s(s(0))), s(s(0)), s(s(s(0))), X5318), SCOPE: 154, CLAUSE: 2 | quot(s(s(s(0))), s(s(0)), s(s(s(0))), X5318), SCOPE: 154, CLAUSE: 3\n\nX5318 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1027 [label="1027: quot(s(s(s(0))), s(s(0)), s(s(s(0))), X5318), SCOPE: 154, CLAUSE: 2\n\nX5318 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1028 [label="1028: quot(s(s(s(0))), s(s(0)), s(s(s(0))), X5318), SCOPE: 154, CLAUSE: 3\n\nX5318 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1029 [label="1029: quot(s(s(0)), s(0), s(s(s(0))), X5357)\n\nX5357 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1030 [label="1030: quot(s(s(0)), s(0), s(s(s(0))), X5357), SCOPE: 155, CLAUSE: 1 | quot(s(s(0)), s(0), s(s(s(0))), X5357), SCOPE: 155, CLAUSE: 2 | quot(s(s(0)), s(0), s(s(s(0))), X5357), SCOPE: 155, CLAUSE: 3\n\nX5357 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1031 [label="1031: quot(s(s(0)), s(0), s(s(s(0))), X5357), SCOPE: 155, CLAUSE: 2 | quot(s(s(0)), s(0), s(s(s(0))), X5357), SCOPE: 155, CLAUSE: 3\n\nX5357 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1032 [label="1032: quot(s(s(0)), s(0), s(s(s(0))), X5357), SCOPE: 155, CLAUSE: 2\n\nX5357 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1033 [label="1033: quot(s(s(0)), s(0), s(s(s(0))), X5357), SCOPE: 155, CLAUSE: 3\n\nX5357 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1034 [label="1034: quot(s(0), 0, s(s(s(0))), X5396)\n\nX5396 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1035 [label="1035: quot(s(0), 0, s(s(s(0))), X5396), SCOPE: 156, CLAUSE: 1 | quot(s(0), 0, s(s(s(0))), X5396), SCOPE: 156, CLAUSE: 2 | quot(s(0), 0, s(s(s(0))), X5396), SCOPE: 156, CLAUSE: 3\n\nX5396 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1036 [label="1036: quot(s(0), 0, s(s(s(0))), X5396), SCOPE: 156, CLAUSE: 2 | quot(s(0), 0, s(s(s(0))), X5396), SCOPE: 156, CLAUSE: 3\n\nX5396 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1037 [label="1037: quot(s(0), 0, s(s(s(0))), X5396), SCOPE: 156, CLAUSE: 3\n\nX5396 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1038 [label="1038: quot(s(0), s(s(s(0))), s(s(s(0))), X5422)\n\nX5422 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1039 [label="1039: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1040 [label="1040: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1041 [label="1041: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1042 [label="1042: quot(s(s(s(s(0)))), s(s(0)), s(s(0)), X5447)\n\nX5447 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1043 [label="1043: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1044 [label="1044: quot(s(s(s(s(0)))), s(s(0)), s(s(0)), X5447), SCOPE: 157, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(0)), s(s(0)), X5447), SCOPE: 157, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(0)), s(s(0)), X5447), SCOPE: 157, CLAUSE: 3\n\nX5447 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1045 [label="1045: quot(s(s(s(s(0)))), s(s(0)), s(s(0)), X5447), SCOPE: 157, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(0)), s(s(0)), X5447), SCOPE: 157, CLAUSE: 3\n\nX5447 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1046 [label="1046: quot(s(s(s(s(0)))), s(s(0)), s(s(0)), X5447), SCOPE: 157, CLAUSE: 2\n\nX5447 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1047 [label="1047: quot(s(s(s(s(0)))), s(s(0)), s(s(0)), X5447), SCOPE: 157, CLAUSE: 3\n\nX5447 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1048 [label="1048: quot(s(s(s(0))), s(0), s(s(0)), X5486)\n\nX5486 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1049 [label="1049: quot(s(s(s(0))), s(0), s(s(0)), X5486), SCOPE: 158, CLAUSE: 1 | quot(s(s(s(0))), s(0), s(s(0)), X5486), SCOPE: 158, CLAUSE: 2 | quot(s(s(s(0))), s(0), s(s(0)), X5486), SCOPE: 158, CLAUSE: 3\n\nX5486 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1050 [label="1050: quot(s(s(s(0))), s(0), s(s(0)), X5486), SCOPE: 158, CLAUSE: 2 | quot(s(s(s(0))), s(0), s(s(0)), X5486), SCOPE: 158, CLAUSE: 3\n\nX5486 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1051 [label="1051: quot(s(s(s(0))), s(0), s(s(0)), X5486), SCOPE: 158, CLAUSE: 2\n\nX5486 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1052 [label="1052: quot(s(s(s(0))), s(0), s(s(0)), X5486), SCOPE: 158, CLAUSE: 3\n\nX5486 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1053 [label="1053: quot(s(s(0)), 0, s(s(0)), X5525)\n\nX5525 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1054 [label="1054: quot(s(s(0)), 0, s(s(0)), X5525), SCOPE: 159, CLAUSE: 1 | quot(s(s(0)), 0, s(s(0)), X5525), SCOPE: 159, CLAUSE: 2 | quot(s(s(0)), 0, s(s(0)), X5525), SCOPE: 159, CLAUSE: 3\n\nX5525 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1055 [label="1055: quot(s(s(0)), 0, s(s(0)), X5525), SCOPE: 159, CLAUSE: 2 | quot(s(s(0)), 0, s(s(0)), X5525), SCOPE: 159, CLAUSE: 3\n\nX5525 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1056 [label="1056: quot(s(s(0)), 0, s(s(0)), X5525), SCOPE: 159, CLAUSE: 3\n\nX5525 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1057 [label="1057: quot(s(s(0)), s(s(0)), s(s(0)), X5551)\n\nX5551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1058 [label="1058: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1059 [label="1059: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1060 [label="1060: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1061 [label="1061: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1062 [label="1062: times(T598, s(s(T596)), X3837)\n\nT596 is ground\nT598 is ground\nX3837 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1063 [label="1063: neq(s(s(s(s(s(s(T596)))))), T744)\n\nT596 is ground\nT744 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1064 [label="1064: pr(s(s(s(s(s(s(T590)))))), s(T590)), SCOPE: 160, CLAUSE: 5 | pr(s(s(s(s(s(s(T590)))))), s(T590)), SCOPE: 160, CLAUSE: 6\n\nT590 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1065 [label="1065: pr(s(s(s(s(s(s(T590)))))), s(T590)), SCOPE: 160, CLAUSE: 5\n\nT590 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1066 [label="1066: pr(s(s(s(s(s(s(T590)))))), s(T590)), SCOPE: 160, CLAUSE: 6\n\nT590 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1067 [label="1067: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1068 [label="1068: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1069 [label="1069: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1070 [label="1070: ','(not_divides(s(s(T761)), s(s(s(s(s(s(s(T761)))))))), pr(s(s(s(s(s(s(s(T761))))))), s(T761)))\n\nT761 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1071 [label="1071: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1072 [label="N18: not_divides(s(s(T761)), s(s(s(s(s(s(s(T761))))))))\n\nT761 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1073 [label="1073: pr(s(s(s(s(s(s(s(T761))))))), s(T761))\n\nT761 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1074 [label="1074: not_divides(s(s(T761)), s(s(s(s(s(s(s(T761)))))))), SCOPE: 161, CLAUSE: 7\n\nT761 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1075 [label="1075: ','(div(s(s(s(s(s(s(s(T767))))))), s(s(T767)), X5607), ','(times(X5607, s(s(T767)), X5608), neq(s(s(s(s(s(s(s(T767))))))), X5608)))\n\nT767 is ground\nX5607 is free\nX5608 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1076 [label="N19: div(s(s(s(s(s(s(s(T767))))))), s(s(T767)), X5607)\n\nT767 is ground\nX5607 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1077 [label="1077: ','(times(T769, s(s(T767)), X5608), neq(s(s(s(s(s(s(s(T767))))))), X5608))\n\nT767 is ground\nT769 is ground\nX5608 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1078 [label="1078: div(s(s(s(s(s(s(s(T767))))))), s(s(T767)), X5607), SCOPE: 162, CLAUSE: 0\n\nT767 is ground\nX5607 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1079 [label="1079: quot(s(s(s(s(s(s(s(T773))))))), s(s(T773)), s(s(T773)), X5632)\n\nT773 is ground\nX5632 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1080 [label="1080: quot(s(s(s(s(s(s(s(T773))))))), s(s(T773)), s(s(T773)), X5632), SCOPE: 163, CLAUSE: 1 | quot(s(s(s(s(s(s(s(T773))))))), s(s(T773)), s(s(T773)), X5632), SCOPE: 163, CLAUSE: 2 | quot(s(s(s(s(s(s(s(T773))))))), s(s(T773)), s(s(T773)), X5632), SCOPE: 163, CLAUSE: 3\n\nT773 is ground\nX5632 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1081 [label="1081: quot(s(s(s(s(s(s(s(T773))))))), s(s(T773)), s(s(T773)), X5632), SCOPE: 163, CLAUSE: 2 | quot(s(s(s(s(s(s(s(T773))))))), s(s(T773)), s(s(T773)), X5632), SCOPE: 163, CLAUSE: 3\n\nT773 is ground\nX5632 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1082 [label="1082: quot(s(s(s(s(s(s(s(T773))))))), s(s(T773)), s(s(T773)), X5632), SCOPE: 163, CLAUSE: 2\n\nT773 is ground\nX5632 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1083 [label="1083: quot(s(s(s(s(s(s(s(T773))))))), s(s(T773)), s(s(T773)), X5632), SCOPE: 163, CLAUSE: 3\n\nT773 is ground\nX5632 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1084 [label="1084: quot(s(s(s(s(s(s(T778)))))), s(T778), s(s(T778)), X5671)\n\nT778 is ground\nX5671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1085 [label="1085: quot(s(s(s(s(s(s(T778)))))), s(T778), s(s(T778)), X5671), SCOPE: 164, CLAUSE: 1 | quot(s(s(s(s(s(s(T778)))))), s(T778), s(s(T778)), X5671), SCOPE: 164, CLAUSE: 2 | quot(s(s(s(s(s(s(T778)))))), s(T778), s(s(T778)), X5671), SCOPE: 164, CLAUSE: 3\n\nT778 is ground\nX5671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1086 [label="1086: quot(s(s(s(s(s(s(T778)))))), s(T778), s(s(T778)), X5671), SCOPE: 164, CLAUSE: 2 | quot(s(s(s(s(s(s(T778)))))), s(T778), s(s(T778)), X5671), SCOPE: 164, CLAUSE: 3\n\nT778 is ground\nX5671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1087 [label="1087: quot(s(s(s(s(s(s(T778)))))), s(T778), s(s(T778)), X5671), SCOPE: 164, CLAUSE: 2\n\nT778 is ground\nX5671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1088 [label="1088: quot(s(s(s(s(s(s(T778)))))), s(T778), s(s(T778)), X5671), SCOPE: 164, CLAUSE: 3\n\nT778 is ground\nX5671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1089 [label="1089: quot(s(s(s(s(s(T783))))), T783, s(s(T783)), X5710)\n\nT783 is ground\nX5710 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1090 [label="1090: quot(s(s(s(s(s(T783))))), T783, s(s(T783)), X5710), SCOPE: 165, CLAUSE: 1 | quot(s(s(s(s(s(T783))))), T783, s(s(T783)), X5710), SCOPE: 165, CLAUSE: 2 | quot(s(s(s(s(s(T783))))), T783, s(s(T783)), X5710), SCOPE: 165, CLAUSE: 3\n\nT783 is ground\nX5710 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1091 [label="1091: quot(s(s(s(s(s(T783))))), T783, s(s(T783)), X5710), SCOPE: 165, CLAUSE: 2 | quot(s(s(s(s(s(T783))))), T783, s(s(T783)), X5710), SCOPE: 165, CLAUSE: 3\n\nT783 is ground\nX5710 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1092 [label="1092: quot(s(s(s(s(s(T783))))), T783, s(s(T783)), X5710), SCOPE: 165, CLAUSE: 2\n\nT783 is ground\nX5710 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1093 [label="1093: quot(s(s(s(s(s(T783))))), T783, s(s(T783)), X5710), SCOPE: 165, CLAUSE: 3\n\nT783 is ground\nX5710 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1094 [label="1094: quot(s(s(s(s(s(T793))))), T793, s(s(s(T793))), X5741)\n\nT793 is ground\nX5741 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1095 [label="1095: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1096 [label="1096: quot(s(s(s(s(s(T793))))), T793, s(s(s(T793))), X5741), SCOPE: 166, CLAUSE: 1 | quot(s(s(s(s(s(T793))))), T793, s(s(s(T793))), X5741), SCOPE: 166, CLAUSE: 2 | quot(s(s(s(s(s(T793))))), T793, s(s(s(T793))), X5741), SCOPE: 166, CLAUSE: 3\n\nT793 is ground\nX5741 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1097 [label="1097: quot(s(s(s(s(s(T793))))), T793, s(s(s(T793))), X5741), SCOPE: 166, CLAUSE: 2 | quot(s(s(s(s(s(T793))))), T793, s(s(s(T793))), X5741), SCOPE: 166, CLAUSE: 3\n\nT793 is ground\nX5741 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1098 [label="1098: quot(s(s(s(s(s(T793))))), T793, s(s(s(T793))), X5741), SCOPE: 166, CLAUSE: 2\n\nT793 is ground\nX5741 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1099 [label="1099: quot(s(s(s(s(s(T793))))), T793, s(s(s(T793))), X5741), SCOPE: 166, CLAUSE: 3\n\nT793 is ground\nX5741 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1100 [label="1100: quot(s(s(s(s(s(T803))))), T803, s(s(s(s(T803)))), X5772)\n\nT803 is ground\nX5772 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1101 [label="1101: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1102 [label="1102: quot(s(s(s(s(s(T803))))), T803, s(s(s(s(T803)))), X5772), SCOPE: 167, CLAUSE: 1 | quot(s(s(s(s(s(T803))))), T803, s(s(s(s(T803)))), X5772), SCOPE: 167, CLAUSE: 2 | quot(s(s(s(s(s(T803))))), T803, s(s(s(s(T803)))), X5772), SCOPE: 167, CLAUSE: 3\n\nT803 is ground\nX5772 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1103 [label="1103: quot(s(s(s(s(s(T803))))), T803, s(s(s(s(T803)))), X5772), SCOPE: 167, CLAUSE: 2 | quot(s(s(s(s(s(T803))))), T803, s(s(s(s(T803)))), X5772), SCOPE: 167, CLAUSE: 3\n\nT803 is ground\nX5772 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1104 [label="1104: quot(s(s(s(s(s(T803))))), T803, s(s(s(s(T803)))), X5772), SCOPE: 167, CLAUSE: 2\n\nT803 is ground\nX5772 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1105 [label="1105: quot(s(s(s(s(s(T803))))), T803, s(s(s(s(T803)))), X5772), SCOPE: 167, CLAUSE: 3\n\nT803 is ground\nX5772 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1106 [label="1106: quot(s(s(s(s(s(T813))))), T813, s(s(s(s(s(T813))))), X5803)\n\nT813 is ground\nX5803 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1107 [label="1107: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1108 [label="1108: quot(s(s(s(s(s(T813))))), T813, s(s(s(s(s(T813))))), X5803), SCOPE: 168, CLAUSE: 1 | quot(s(s(s(s(s(T813))))), T813, s(s(s(s(s(T813))))), X5803), SCOPE: 168, CLAUSE: 2 | quot(s(s(s(s(s(T813))))), T813, s(s(s(s(s(T813))))), X5803), SCOPE: 168, CLAUSE: 3\n\nT813 is ground\nX5803 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1109 [label="1109: quot(s(s(s(s(s(T813))))), T813, s(s(s(s(s(T813))))), X5803), SCOPE: 168, CLAUSE: 2 | quot(s(s(s(s(s(T813))))), T813, s(s(s(s(s(T813))))), X5803), SCOPE: 168, CLAUSE: 3\n\nT813 is ground\nX5803 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1110 [label="1110: quot(s(s(s(s(s(T813))))), T813, s(s(s(s(s(T813))))), X5803), SCOPE: 168, CLAUSE: 2\n\nT813 is ground\nX5803 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1111 [label="1111: quot(s(s(s(s(s(T813))))), T813, s(s(s(s(s(T813))))), X5803), SCOPE: 168, CLAUSE: 3\n\nT813 is ground\nX5803 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1112 [label="1112: quot(s(s(s(s(s(T823))))), T823, s(s(s(s(s(s(T823)))))), X5834)\n\nT823 is ground\nX5834 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1113 [label="1113: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1114 [label="1114: quot(s(s(s(s(s(T823))))), T823, s(s(s(s(s(s(T823)))))), X5834), SCOPE: 169, CLAUSE: 1 | quot(s(s(s(s(s(T823))))), T823, s(s(s(s(s(s(T823)))))), X5834), SCOPE: 169, CLAUSE: 2 | quot(s(s(s(s(s(T823))))), T823, s(s(s(s(s(s(T823)))))), X5834), SCOPE: 169, CLAUSE: 3\n\nT823 is ground\nX5834 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1115 [label="1115: quot(s(s(s(s(s(T823))))), T823, s(s(s(s(s(s(T823)))))), X5834), SCOPE: 169, CLAUSE: 2 | quot(s(s(s(s(s(T823))))), T823, s(s(s(s(s(s(T823)))))), X5834), SCOPE: 169, CLAUSE: 3\n\nT823 is ground\nX5834 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1116 [label="1116: quot(s(s(s(s(s(T823))))), T823, s(s(s(s(s(s(T823)))))), X5834), SCOPE: 169, CLAUSE: 2\n\nT823 is ground\nX5834 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1117 [label="1117: quot(s(s(s(s(s(T823))))), T823, s(s(s(s(s(s(T823)))))), X5834), SCOPE: 169, CLAUSE: 3\n\nT823 is ground\nX5834 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1118 [label="1118: quot(s(s(s(s(s(T833))))), T833, s(s(s(s(s(s(s(T833))))))), X5865)\n\nT833 is ground\nX5865 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1119 [label="1119: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1120 [label="1120: quot(s(s(s(s(s(T833))))), T833, s(s(s(s(s(s(s(T833))))))), X5865), SCOPE: 170, CLAUSE: 1 | quot(s(s(s(s(s(T833))))), T833, s(s(s(s(s(s(s(T833))))))), X5865), SCOPE: 170, CLAUSE: 2 | quot(s(s(s(s(s(T833))))), T833, s(s(s(s(s(s(s(T833))))))), X5865), SCOPE: 170, CLAUSE: 3\n\nT833 is ground\nX5865 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1121 [label="1121: quot(s(s(s(s(s(T833))))), T833, s(s(s(s(s(s(s(T833))))))), X5865), SCOPE: 170, CLAUSE: 2 | quot(s(s(s(s(s(T833))))), T833, s(s(s(s(s(s(s(T833))))))), X5865), SCOPE: 170, CLAUSE: 3\n\nT833 is ground\nX5865 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1122 [label="1122: quot(s(s(s(s(s(T833))))), T833, s(s(s(s(s(s(s(T833))))))), X5865), SCOPE: 170, CLAUSE: 2\n\nT833 is ground\nX5865 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1123 [label="1123: quot(s(s(s(s(s(T833))))), T833, s(s(s(s(s(s(s(T833))))))), X5865), SCOPE: 170, CLAUSE: 3\n\nT833 is ground\nX5865 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1124 [label="1124: quot(s(s(s(s(s(T843))))), T843, s(s(s(s(s(s(s(s(T843)))))))), X5896)\n\nT843 is ground\nX5896 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1125 [label="1125: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1126 [label="T: quot(s(s(s(s(s(T843))))), T843, s(T844), X5896)\n\nT843 is ground\nT844 is ground\nX5896 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1127 [label="1127: quot(s(s(s(s(s(T843))))), T843, s(T844), X5896), SCOPE: 171, CLAUSE: 1 | quot(s(s(s(s(s(T843))))), T843, s(T844), X5896), SCOPE: 171, CLAUSE: 2 | quot(s(s(s(s(s(T843))))), T843, s(T844), X5896), SCOPE: 171, CLAUSE: 3\n\nT843 is ground\nT844 is ground\nX5896 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1128 [label="1128: quot(s(s(s(s(s(T843))))), T843, s(T844), X5896), SCOPE: 171, CLAUSE: 2 | quot(s(s(s(s(s(T843))))), T843, s(T844), X5896), SCOPE: 171, CLAUSE: 3\n\nT843 is ground\nT844 is ground\nX5896 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1129 [label="1129: quot(s(s(s(s(s(T843))))), T843, s(T844), X5896), SCOPE: 171, CLAUSE: 2\n\nT843 is ground\nT844 is ground\nX5896 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1130 [label="1130: quot(s(s(s(s(s(T843))))), T843, s(T844), X5896), SCOPE: 171, CLAUSE: 3\n\nT843 is ground\nT844 is ground\nX5896 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1131 [label="1131: quot(s(s(s(s(s(T858))))), T858, s(T859), X5931)\n\nT858 is ground\nT859 is ground\nX5931 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1132 [label="1132: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1133 [label="1133: quot(s(s(s(s(s(0))))), s(T865), s(T865), X5947)\n\nT865 is ground\nX5947 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1134 [label="1134: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1135 [label="1135: quot(s(s(s(s(s(0))))), s(T865), s(T865), X5947), SCOPE: 172, CLAUSE: 1 | quot(s(s(s(s(s(0))))), s(T865), s(T865), X5947), SCOPE: 172, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(T865), s(T865), X5947), SCOPE: 172, CLAUSE: 3\n\nT865 is ground\nX5947 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1136 [label="1136: quot(s(s(s(s(s(0))))), s(T865), s(T865), X5947), SCOPE: 172, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(T865), s(T865), X5947), SCOPE: 172, CLAUSE: 3\n\nT865 is ground\nX5947 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1137 [label="1137: quot(s(s(s(s(s(0))))), s(T865), s(T865), X5947), SCOPE: 172, CLAUSE: 2\n\nT865 is ground\nX5947 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1138 [label="1138: quot(s(s(s(s(s(0))))), s(T865), s(T865), X5947), SCOPE: 172, CLAUSE: 3\n\nT865 is ground\nX5947 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1139 [label="1139: quot(s(s(s(s(0)))), T870, s(T870), X5986)\n\nT870 is ground\nX5986 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1140 [label="1140: quot(s(s(s(s(0)))), T870, s(T870), X5986), SCOPE: 173, CLAUSE: 1 | quot(s(s(s(s(0)))), T870, s(T870), X5986), SCOPE: 173, CLAUSE: 2 | quot(s(s(s(s(0)))), T870, s(T870), X5986), SCOPE: 173, CLAUSE: 3\n\nT870 is ground\nX5986 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1141 [label="1141: quot(s(s(s(s(0)))), T870, s(T870), X5986), SCOPE: 173, CLAUSE: 2 | quot(s(s(s(s(0)))), T870, s(T870), X5986), SCOPE: 173, CLAUSE: 3\n\nT870 is ground\nX5986 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1142 [label="1142: quot(s(s(s(s(0)))), T870, s(T870), X5986), SCOPE: 173, CLAUSE: 2\n\nT870 is ground\nX5986 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1143 [label="1143: quot(s(s(s(s(0)))), T870, s(T870), X5986), SCOPE: 173, CLAUSE: 3\n\nT870 is ground\nX5986 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1144 [label="1144: quot(s(s(s(0))), T875, s(s(T875)), X6017)\n\nT875 is ground\nX6017 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1145 [label="1145: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1146 [label="1146: quot(s(s(s(0))), T875, s(s(T875)), X6017), SCOPE: 174, CLAUSE: 1 | quot(s(s(s(0))), T875, s(s(T875)), X6017), SCOPE: 174, CLAUSE: 2 | quot(s(s(s(0))), T875, s(s(T875)), X6017), SCOPE: 174, CLAUSE: 3\n\nT875 is ground\nX6017 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1147 [label="1147: quot(s(s(s(0))), T875, s(s(T875)), X6017), SCOPE: 174, CLAUSE: 2 | quot(s(s(s(0))), T875, s(s(T875)), X6017), SCOPE: 174, CLAUSE: 3\n\nT875 is ground\nX6017 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1148 [label="1148: quot(s(s(s(0))), T875, s(s(T875)), X6017), SCOPE: 174, CLAUSE: 2\n\nT875 is ground\nX6017 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1149 [label="1149: quot(s(s(s(0))), T875, s(s(T875)), X6017), SCOPE: 174, CLAUSE: 3\n\nT875 is ground\nX6017 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1150 [label="1150: quot(s(s(0)), T880, s(s(s(T880))), X6048)\n\nT880 is ground\nX6048 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1151 [label="1151: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1152 [label="1152: quot(s(s(0)), T880, s(s(s(T880))), X6048), SCOPE: 175, CLAUSE: 1 | quot(s(s(0)), T880, s(s(s(T880))), X6048), SCOPE: 175, CLAUSE: 2 | quot(s(s(0)), T880, s(s(s(T880))), X6048), SCOPE: 175, CLAUSE: 3\n\nT880 is ground\nX6048 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1153 [label="1153: quot(s(s(0)), T880, s(s(s(T880))), X6048), SCOPE: 175, CLAUSE: 2 | quot(s(s(0)), T880, s(s(s(T880))), X6048), SCOPE: 175, CLAUSE: 3\n\nT880 is ground\nX6048 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1154 [label="1154: quot(s(s(0)), T880, s(s(s(T880))), X6048), SCOPE: 175, CLAUSE: 2\n\nT880 is ground\nX6048 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1155 [label="1155: quot(s(s(0)), T880, s(s(s(T880))), X6048), SCOPE: 175, CLAUSE: 3\n\nT880 is ground\nX6048 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1156 [label="1156: quot(s(0), T885, s(s(s(s(T885)))), X6079)\n\nT885 is ground\nX6079 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1157 [label="1157: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1158 [label="1158: quot(s(0), T885, s(s(s(s(T885)))), X6079), SCOPE: 176, CLAUSE: 1 | quot(s(0), T885, s(s(s(s(T885)))), X6079), SCOPE: 176, CLAUSE: 2 | quot(s(0), T885, s(s(s(s(T885)))), X6079), SCOPE: 176, CLAUSE: 3\n\nT885 is ground\nX6079 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1159 [label="1159: quot(s(0), T885, s(s(s(s(T885)))), X6079), SCOPE: 176, CLAUSE: 2 | quot(s(0), T885, s(s(s(s(T885)))), X6079), SCOPE: 176, CLAUSE: 3\n\nT885 is ground\nX6079 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1160 [label="1160: quot(s(0), T885, s(s(s(s(T885)))), X6079), SCOPE: 176, CLAUSE: 2\n\nT885 is ground\nX6079 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1161 [label="1161: quot(s(0), T885, s(s(s(s(T885)))), X6079), SCOPE: 176, CLAUSE: 3\n\nT885 is ground\nX6079 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1162 [label="1162: quot(0, T890, s(s(s(s(s(T890))))), X6110)\n\nT890 is ground\nX6110 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1163 [label="1163: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1164 [label="1164: quot(0, T890, s(s(s(s(s(T890))))), X6110), SCOPE: 177, CLAUSE: 1 | quot(0, T890, s(s(s(s(s(T890))))), X6110), SCOPE: 177, CLAUSE: 2 | quot(0, T890, s(s(s(s(s(T890))))), X6110), SCOPE: 177, CLAUSE: 3\n\nT890 is ground\nX6110 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1165 [label="1165: quot(0, T890, s(s(s(s(s(T890))))), X6110), SCOPE: 177, CLAUSE: 1\n\nT890 is ground\nX6110 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1166 [label="1166: quot(0, T890, s(s(s(s(s(T890))))), X6110), SCOPE: 177, CLAUSE: 2 | quot(0, T890, s(s(s(s(s(T890))))), X6110), SCOPE: 177, CLAUSE: 3\n\nT890 is ground\nX6110 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1167 [label="1167: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1168 [label="1168: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1169 [label="1169: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1170 [label="1170: quot(0, T890, s(s(s(s(s(T890))))), X6110), SCOPE: 177, CLAUSE: 3\n\nT890 is ground\nX6110 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1171 [label="U: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6140)\n\nX6140 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1172 [label="1172: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1173 [label="1173: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6140), SCOPE: 178, CLAUSE: 1 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6140), SCOPE: 178, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6140), SCOPE: 178, CLAUSE: 3\n\nX6140 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1174 [label="1174: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6140), SCOPE: 178, CLAUSE: 1\n\nX6140 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1175 [label="1175: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6140), SCOPE: 178, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6140), SCOPE: 178, CLAUSE: 3\n\nX6140 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1176 [label="1176: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1177 [label="1177: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1178 [label="1178: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6140), SCOPE: 178, CLAUSE: 3\n\nX6140 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1179 [label="1179: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1180 [label="1180: quot(s(0), s(s(s(s(0)))), s(s(s(s(0)))), X6171)\n\nX6171 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1181 [label="1181: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1182 [label="1182: quot(s(s(0)), s(s(s(0))), s(s(s(0))), X6187)\n\nX6187 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1183 [label="1183: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1184 [label="1184: quot(s(s(s(0))), s(s(0)), s(s(0)), X6203)\n\nX6203 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1185 [label="1185: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1186 [label="1186: quot(s(s(s(s(0)))), s(0), s(0), X6219)\n\nX6219 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1187 [label="1187: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1188 [label="1188: quot(s(s(s(s(0)))), s(0), s(0), X6219), SCOPE: 179, CLAUSE: 1 | quot(s(s(s(s(0)))), s(0), s(0), X6219), SCOPE: 179, CLAUSE: 2 | quot(s(s(s(s(0)))), s(0), s(0), X6219), SCOPE: 179, CLAUSE: 3\n\nX6219 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1189 [label="1189: quot(s(s(s(s(0)))), s(0), s(0), X6219), SCOPE: 179, CLAUSE: 2 | quot(s(s(s(s(0)))), s(0), s(0), X6219), SCOPE: 179, CLAUSE: 3\n\nX6219 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1190 [label="1190: quot(s(s(s(s(0)))), s(0), s(0), X6219), SCOPE: 179, CLAUSE: 2\n\nX6219 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1191 [label="1191: quot(s(s(s(s(0)))), s(0), s(0), X6219), SCOPE: 179, CLAUSE: 3\n\nX6219 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1192 [label="1192: quot(s(s(s(0))), 0, s(0), X6258)\n\nX6258 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1193 [label="1193: quot(s(s(s(0))), 0, s(0), X6258), SCOPE: 180, CLAUSE: 1 | quot(s(s(s(0))), 0, s(0), X6258), SCOPE: 180, CLAUSE: 2 | quot(s(s(s(0))), 0, s(0), X6258), SCOPE: 180, CLAUSE: 3\n\nX6258 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1194 [label="1194: quot(s(s(s(0))), 0, s(0), X6258), SCOPE: 180, CLAUSE: 2 | quot(s(s(s(0))), 0, s(0), X6258), SCOPE: 180, CLAUSE: 3\n\nX6258 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1195 [label="1195: quot(s(s(s(0))), 0, s(0), X6258), SCOPE: 180, CLAUSE: 3\n\nX6258 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1196 [label="1196: quot(s(s(s(0))), s(0), s(0), X6284)\n\nX6284 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1197 [label="1197: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1198 [label="1198: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1199 [label="1199: quot(s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X6306)\n\nX6306 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1200 [label="1200: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1201 [label="1201: quot(s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X6306), SCOPE: 181, CLAUSE: 1 | quot(s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X6306), SCOPE: 181, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X6306), SCOPE: 181, CLAUSE: 3\n\nX6306 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1202 [label="1202: quot(s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X6306), SCOPE: 181, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X6306), SCOPE: 181, CLAUSE: 3\n\nX6306 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1203 [label="1203: quot(s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X6306), SCOPE: 181, CLAUSE: 2\n\nX6306 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1204 [label="1204: quot(s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X6306), SCOPE: 181, CLAUSE: 3\n\nX6306 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1205 [label="1205: quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X6345)\n\nX6345 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1206 [label="1206: quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X6345), SCOPE: 182, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X6345), SCOPE: 182, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X6345), SCOPE: 182, CLAUSE: 3\n\nX6345 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1207 [label="1207: quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X6345), SCOPE: 182, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X6345), SCOPE: 182, CLAUSE: 3\n\nX6345 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1208 [label="1208: quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X6345), SCOPE: 182, CLAUSE: 2\n\nX6345 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1209 [label="1209: quot(s(s(s(s(0)))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X6345), SCOPE: 182, CLAUSE: 3\n\nX6345 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1210 [label="1210: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X6384)\n\nX6384 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1211 [label="1211: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X6384), SCOPE: 183, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X6384), SCOPE: 183, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X6384), SCOPE: 183, CLAUSE: 3\n\nX6384 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1212 [label="1212: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X6384), SCOPE: 183, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X6384), SCOPE: 183, CLAUSE: 3\n\nX6384 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1213 [label="1213: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X6384), SCOPE: 183, CLAUSE: 2\n\nX6384 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1214 [label="1214: quot(s(s(s(0))), s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X6384), SCOPE: 183, CLAUSE: 3\n\nX6384 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1215 [label="1215: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X6423)\n\nX6423 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1216 [label="1216: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X6423), SCOPE: 184, CLAUSE: 1 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X6423), SCOPE: 184, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X6423), SCOPE: 184, CLAUSE: 3\n\nX6423 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1217 [label="1217: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X6423), SCOPE: 184, CLAUSE: 2 | quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X6423), SCOPE: 184, CLAUSE: 3\n\nX6423 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1218 [label="1218: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X6423), SCOPE: 184, CLAUSE: 2\n\nX6423 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1219 [label="1219: quot(s(s(0)), s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X6423), SCOPE: 184, CLAUSE: 3\n\nX6423 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1220 [label="1220: quot(s(0), s(s(s(0))), s(s(s(s(s(s(s(0))))))), X6462)\n\nX6462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1221 [label="1221: quot(s(0), s(s(s(0))), s(s(s(s(s(s(s(0))))))), X6462), SCOPE: 185, CLAUSE: 1 | quot(s(0), s(s(s(0))), s(s(s(s(s(s(s(0))))))), X6462), SCOPE: 185, CLAUSE: 2 | quot(s(0), s(s(s(0))), s(s(s(s(s(s(s(0))))))), X6462), SCOPE: 185, CLAUSE: 3\n\nX6462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1222 [label="1222: quot(s(0), s(s(s(0))), s(s(s(s(s(s(s(0))))))), X6462), SCOPE: 185, CLAUSE: 2 | quot(s(0), s(s(s(0))), s(s(s(s(s(s(s(0))))))), X6462), SCOPE: 185, CLAUSE: 3\n\nX6462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1223 [label="1223: quot(s(0), s(s(s(0))), s(s(s(s(s(s(s(0))))))), X6462), SCOPE: 185, CLAUSE: 2\n\nX6462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1224 [label="1224: quot(s(0), s(s(s(0))), s(s(s(s(s(s(s(0))))))), X6462), SCOPE: 185, CLAUSE: 3\n\nX6462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1225 [label="1225: quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), X6497)\n\nX6497 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1226 [label="1226: quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), X6497), SCOPE: 186, CLAUSE: 1 | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), X6497), SCOPE: 186, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), X6497), SCOPE: 186, CLAUSE: 3\n\nX6497 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1227 [label="1227: quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), X6497), SCOPE: 186, CLAUSE: 1\n\nX6497 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1228 [label="1228: quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), X6497), SCOPE: 186, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), X6497), SCOPE: 186, CLAUSE: 3\n\nX6497 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1229 [label="1229: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1230 [label="1230: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1231 [label="1231: quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), X6497), SCOPE: 186, CLAUSE: 3\n\nX6497 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1232 [label="1232: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1233 [label="1233: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1234 [label="1234: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1235 [label="1235: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1236 [label="1236: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1237 [label="1237: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1238 [label="1238: quot(s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X6543)\n\nX6543 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1239 [label="1239: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1240 [label="1240: quot(s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X6543), SCOPE: 187, CLAUSE: 1 | quot(s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X6543), SCOPE: 187, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X6543), SCOPE: 187, CLAUSE: 3\n\nX6543 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1241 [label="1241: quot(s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X6543), SCOPE: 187, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X6543), SCOPE: 187, CLAUSE: 3\n\nX6543 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1242 [label="1242: quot(s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X6543), SCOPE: 187, CLAUSE: 2\n\nX6543 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1243 [label="1243: quot(s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X6543), SCOPE: 187, CLAUSE: 3\n\nX6543 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1244 [label="1244: quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X6582)\n\nX6582 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1245 [label="1245: quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X6582), SCOPE: 188, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X6582), SCOPE: 188, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X6582), SCOPE: 188, CLAUSE: 3\n\nX6582 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1246 [label="1246: quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X6582), SCOPE: 188, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X6582), SCOPE: 188, CLAUSE: 3\n\nX6582 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1247 [label="1247: quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X6582), SCOPE: 188, CLAUSE: 2\n\nX6582 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1248 [label="1248: quot(s(s(s(s(0)))), s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X6582), SCOPE: 188, CLAUSE: 3\n\nX6582 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1249 [label="1249: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X6621)\n\nX6621 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1250 [label="1250: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X6621), SCOPE: 189, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X6621), SCOPE: 189, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X6621), SCOPE: 189, CLAUSE: 3\n\nX6621 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1251 [label="1251: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X6621), SCOPE: 189, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X6621), SCOPE: 189, CLAUSE: 3\n\nX6621 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1252 [label="1252: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X6621), SCOPE: 189, CLAUSE: 2\n\nX6621 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1253 [label="1253: quot(s(s(s(0))), s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X6621), SCOPE: 189, CLAUSE: 3\n\nX6621 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1254 [label="1254: quot(s(s(0)), s(s(s(0))), s(s(s(s(s(s(0)))))), X6660)\n\nX6660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1255 [label="1255: quot(s(s(0)), s(s(s(0))), s(s(s(s(s(s(0)))))), X6660), SCOPE: 190, CLAUSE: 1 | quot(s(s(0)), s(s(s(0))), s(s(s(s(s(s(0)))))), X6660), SCOPE: 190, CLAUSE: 2 | quot(s(s(0)), s(s(s(0))), s(s(s(s(s(s(0)))))), X6660), SCOPE: 190, CLAUSE: 3\n\nX6660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1256 [label="1256: quot(s(s(0)), s(s(s(0))), s(s(s(s(s(s(0)))))), X6660), SCOPE: 190, CLAUSE: 2 | quot(s(s(0)), s(s(s(0))), s(s(s(s(s(s(0)))))), X6660), SCOPE: 190, CLAUSE: 3\n\nX6660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1257 [label="1257: quot(s(s(0)), s(s(s(0))), s(s(s(s(s(s(0)))))), X6660), SCOPE: 190, CLAUSE: 2\n\nX6660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1258 [label="1258: quot(s(s(0)), s(s(s(0))), s(s(s(s(s(s(0)))))), X6660), SCOPE: 190, CLAUSE: 3\n\nX6660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1259 [label="1259: quot(s(0), s(s(0)), s(s(s(s(s(s(0)))))), X6699)\n\nX6699 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1260 [label="1260: quot(s(0), s(s(0)), s(s(s(s(s(s(0)))))), X6699), SCOPE: 191, CLAUSE: 1 | quot(s(0), s(s(0)), s(s(s(s(s(s(0)))))), X6699), SCOPE: 191, CLAUSE: 2 | quot(s(0), s(s(0)), s(s(s(s(s(s(0)))))), X6699), SCOPE: 191, CLAUSE: 3\n\nX6699 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1261 [label="1261: quot(s(0), s(s(0)), s(s(s(s(s(s(0)))))), X6699), SCOPE: 191, CLAUSE: 2 | quot(s(0), s(s(0)), s(s(s(s(s(s(0)))))), X6699), SCOPE: 191, CLAUSE: 3\n\nX6699 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1262 [label="1262: quot(s(0), s(s(0)), s(s(s(s(s(s(0)))))), X6699), SCOPE: 191, CLAUSE: 2\n\nX6699 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1263 [label="1263: quot(s(0), s(s(0)), s(s(s(s(s(s(0)))))), X6699), SCOPE: 191, CLAUSE: 3\n\nX6699 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1264 [label="1264: quot(0, s(0), s(s(s(s(s(s(0)))))), X6734)\n\nX6734 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1265 [label="1265: quot(0, s(0), s(s(s(s(s(s(0)))))), X6734), SCOPE: 192, CLAUSE: 1 | quot(0, s(0), s(s(s(s(s(s(0)))))), X6734), SCOPE: 192, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(0)))))), X6734), SCOPE: 192, CLAUSE: 3\n\nX6734 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1266 [label="1266: quot(0, s(0), s(s(s(s(s(s(0)))))), X6734), SCOPE: 192, CLAUSE: 1\n\nX6734 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1267 [label="1267: quot(0, s(0), s(s(s(s(s(s(0)))))), X6734), SCOPE: 192, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(0)))))), X6734), SCOPE: 192, CLAUSE: 3\n\nX6734 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1268 [label="1268: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1269 [label="1269: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1270 [label="1270: quot(0, s(0), s(s(s(s(s(s(0)))))), X6734), SCOPE: 192, CLAUSE: 3\n\nX6734 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1271 [label="1271: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1272 [label="1272: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1273 [label="1273: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1274 [label="1274: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1275 [label="1275: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1276 [label="1276: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1277 [label="1277: quot(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6780)\n\nX6780 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1278 [label="1278: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1279 [label="1279: quot(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6780), SCOPE: 193, CLAUSE: 1 | quot(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6780), SCOPE: 193, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6780), SCOPE: 193, CLAUSE: 3\n\nX6780 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1280 [label="1280: quot(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6780), SCOPE: 193, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6780), SCOPE: 193, CLAUSE: 3\n\nX6780 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1281 [label="1281: quot(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6780), SCOPE: 193, CLAUSE: 2\n\nX6780 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1282 [label="1282: quot(s(s(s(s(s(0))))), s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6780), SCOPE: 193, CLAUSE: 3\n\nX6780 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1283 [label="1283: quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(s(0))))), X6819)\n\nX6819 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1284 [label="1284: quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(s(0))))), X6819), SCOPE: 194, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(s(0))))), X6819), SCOPE: 194, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(s(0))))), X6819), SCOPE: 194, CLAUSE: 3\n\nX6819 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1285 [label="1285: quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(s(0))))), X6819), SCOPE: 194, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(s(0))))), X6819), SCOPE: 194, CLAUSE: 3\n\nX6819 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1286 [label="1286: quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(s(0))))), X6819), SCOPE: 194, CLAUSE: 2\n\nX6819 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1287 [label="1287: quot(s(s(s(s(0)))), s(s(s(s(0)))), s(s(s(s(s(0))))), X6819), SCOPE: 194, CLAUSE: 3\n\nX6819 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1288 [label="1288: quot(s(s(s(0))), s(s(s(0))), s(s(s(s(s(0))))), X6858)\n\nX6858 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1289 [label="1289: quot(s(s(s(0))), s(s(s(0))), s(s(s(s(s(0))))), X6858), SCOPE: 195, CLAUSE: 1 | quot(s(s(s(0))), s(s(s(0))), s(s(s(s(s(0))))), X6858), SCOPE: 195, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(0))), s(s(s(s(s(0))))), X6858), SCOPE: 195, CLAUSE: 3\n\nX6858 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1290 [label="1290: quot(s(s(s(0))), s(s(s(0))), s(s(s(s(s(0))))), X6858), SCOPE: 195, CLAUSE: 2 | quot(s(s(s(0))), s(s(s(0))), s(s(s(s(s(0))))), X6858), SCOPE: 195, CLAUSE: 3\n\nX6858 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1291 [label="1291: quot(s(s(s(0))), s(s(s(0))), s(s(s(s(s(0))))), X6858), SCOPE: 195, CLAUSE: 2\n\nX6858 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1292 [label="1292: quot(s(s(s(0))), s(s(s(0))), s(s(s(s(s(0))))), X6858), SCOPE: 195, CLAUSE: 3\n\nX6858 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1293 [label="1293: quot(s(s(0)), s(s(0)), s(s(s(s(s(0))))), X6897)\n\nX6897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1294 [label="1294: quot(s(s(0)), s(s(0)), s(s(s(s(s(0))))), X6897), SCOPE: 196, CLAUSE: 1 | quot(s(s(0)), s(s(0)), s(s(s(s(s(0))))), X6897), SCOPE: 196, CLAUSE: 2 | quot(s(s(0)), s(s(0)), s(s(s(s(s(0))))), X6897), SCOPE: 196, CLAUSE: 3\n\nX6897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1295 [label="1295: quot(s(s(0)), s(s(0)), s(s(s(s(s(0))))), X6897), SCOPE: 196, CLAUSE: 2 | quot(s(s(0)), s(s(0)), s(s(s(s(s(0))))), X6897), SCOPE: 196, CLAUSE: 3\n\nX6897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1296 [label="1296: quot(s(s(0)), s(s(0)), s(s(s(s(s(0))))), X6897), SCOPE: 196, CLAUSE: 2\n\nX6897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1297 [label="1297: quot(s(s(0)), s(s(0)), s(s(s(s(s(0))))), X6897), SCOPE: 196, CLAUSE: 3\n\nX6897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1298 [label="1298: quot(s(0), s(0), s(s(s(s(s(0))))), X6936)\n\nX6936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1299 [label="1299: quot(s(0), s(0), s(s(s(s(s(0))))), X6936), SCOPE: 197, CLAUSE: 1 | quot(s(0), s(0), s(s(s(s(s(0))))), X6936), SCOPE: 197, CLAUSE: 2 | quot(s(0), s(0), s(s(s(s(s(0))))), X6936), SCOPE: 197, CLAUSE: 3\n\nX6936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1300 [label="1300: quot(s(0), s(0), s(s(s(s(s(0))))), X6936), SCOPE: 197, CLAUSE: 2 | quot(s(0), s(0), s(s(s(s(s(0))))), X6936), SCOPE: 197, CLAUSE: 3\n\nX6936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1301 [label="1301: quot(s(0), s(0), s(s(s(s(s(0))))), X6936), SCOPE: 197, CLAUSE: 2\n\nX6936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1302 [label="1302: quot(s(0), s(0), s(s(s(s(s(0))))), X6936), SCOPE: 197, CLAUSE: 3\n\nX6936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1303 [label="1303: quot(0, 0, s(s(s(s(s(0))))), X6975)\n\nX6975 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1304 [label="1304: quot(0, 0, s(s(s(s(s(0))))), X6975), SCOPE: 198, CLAUSE: 1 | quot(0, 0, s(s(s(s(s(0))))), X6975), SCOPE: 198, CLAUSE: 2 | quot(0, 0, s(s(s(s(s(0))))), X6975), SCOPE: 198, CLAUSE: 3\n\nX6975 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1305 [label="1305: quot(0, 0, s(s(s(s(s(0))))), X6975), SCOPE: 198, CLAUSE: 2 | quot(0, 0, s(s(s(s(s(0))))), X6975), SCOPE: 198, CLAUSE: 3\n\nX6975 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1306 [label="1306: quot(0, 0, s(s(s(s(s(0))))), X6975), SCOPE: 198, CLAUSE: 3\n\nX6975 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1307 [label="1307: quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X6999)\n\nX6999 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1308 [label="1308: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1309 [label="1309: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1310 [label="1310: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1311 [label="1311: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1312 [label="1312: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1313 [label="1313: quot(s(s(s(s(s(0))))), s(s(s(s(0)))), s(s(s(s(0)))), X7028)\n\nX7028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1314 [label="1314: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1315 [label="1315: quot(s(s(s(s(s(0))))), s(s(s(s(0)))), s(s(s(s(0)))), X7028), SCOPE: 199, CLAUSE: 1 | quot(s(s(s(s(s(0))))), s(s(s(s(0)))), s(s(s(s(0)))), X7028), SCOPE: 199, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(s(s(0)))), s(s(s(s(0)))), X7028), SCOPE: 199, CLAUSE: 3\n\nX7028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1316 [label="1316: quot(s(s(s(s(s(0))))), s(s(s(s(0)))), s(s(s(s(0)))), X7028), SCOPE: 199, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(s(s(0)))), s(s(s(s(0)))), X7028), SCOPE: 199, CLAUSE: 3\n\nX7028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1317 [label="1317: quot(s(s(s(s(s(0))))), s(s(s(s(0)))), s(s(s(s(0)))), X7028), SCOPE: 199, CLAUSE: 2\n\nX7028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1318 [label="1318: quot(s(s(s(s(s(0))))), s(s(s(s(0)))), s(s(s(s(0)))), X7028), SCOPE: 199, CLAUSE: 3\n\nX7028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1319 [label="1319: quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(s(0)))), X7067)\n\nX7067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1320 [label="1320: quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(s(0)))), X7067), SCOPE: 200, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(s(0)))), X7067), SCOPE: 200, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(s(0)))), X7067), SCOPE: 200, CLAUSE: 3\n\nX7067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1321 [label="1321: quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(s(0)))), X7067), SCOPE: 200, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(s(0)))), X7067), SCOPE: 200, CLAUSE: 3\n\nX7067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1322 [label="1322: quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(s(0)))), X7067), SCOPE: 200, CLAUSE: 2\n\nX7067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1323 [label="1323: quot(s(s(s(s(0)))), s(s(s(0))), s(s(s(s(0)))), X7067), SCOPE: 200, CLAUSE: 3\n\nX7067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1324 [label="1324: quot(s(s(s(0))), s(s(0)), s(s(s(s(0)))), X7106)\n\nX7106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1325 [label="1325: quot(s(s(s(0))), s(s(0)), s(s(s(s(0)))), X7106), SCOPE: 201, CLAUSE: 1 | quot(s(s(s(0))), s(s(0)), s(s(s(s(0)))), X7106), SCOPE: 201, CLAUSE: 2 | quot(s(s(s(0))), s(s(0)), s(s(s(s(0)))), X7106), SCOPE: 201, CLAUSE: 3\n\nX7106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1326 [label="1326: quot(s(s(s(0))), s(s(0)), s(s(s(s(0)))), X7106), SCOPE: 201, CLAUSE: 2 | quot(s(s(s(0))), s(s(0)), s(s(s(s(0)))), X7106), SCOPE: 201, CLAUSE: 3\n\nX7106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1327 [label="1327: quot(s(s(s(0))), s(s(0)), s(s(s(s(0)))), X7106), SCOPE: 201, CLAUSE: 2\n\nX7106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1328 [label="1328: quot(s(s(s(0))), s(s(0)), s(s(s(s(0)))), X7106), SCOPE: 201, CLAUSE: 3\n\nX7106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1329 [label="1329: quot(s(s(0)), s(0), s(s(s(s(0)))), X7145)\n\nX7145 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1330 [label="1330: quot(s(s(0)), s(0), s(s(s(s(0)))), X7145), SCOPE: 202, CLAUSE: 1 | quot(s(s(0)), s(0), s(s(s(s(0)))), X7145), SCOPE: 202, CLAUSE: 2 | quot(s(s(0)), s(0), s(s(s(s(0)))), X7145), SCOPE: 202, CLAUSE: 3\n\nX7145 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1331 [label="1331: quot(s(s(0)), s(0), s(s(s(s(0)))), X7145), SCOPE: 202, CLAUSE: 2 | quot(s(s(0)), s(0), s(s(s(s(0)))), X7145), SCOPE: 202, CLAUSE: 3\n\nX7145 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1332 [label="1332: quot(s(s(0)), s(0), s(s(s(s(0)))), X7145), SCOPE: 202, CLAUSE: 2\n\nX7145 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1333 [label="1333: quot(s(s(0)), s(0), s(s(s(s(0)))), X7145), SCOPE: 202, CLAUSE: 3\n\nX7145 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1334 [label="1334: quot(s(0), 0, s(s(s(s(0)))), X7184)\n\nX7184 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1335 [label="1335: quot(s(0), 0, s(s(s(s(0)))), X7184), SCOPE: 203, CLAUSE: 1 | quot(s(0), 0, s(s(s(s(0)))), X7184), SCOPE: 203, CLAUSE: 2 | quot(s(0), 0, s(s(s(s(0)))), X7184), SCOPE: 203, CLAUSE: 3\n\nX7184 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1336 [label="1336: quot(s(0), 0, s(s(s(s(0)))), X7184), SCOPE: 203, CLAUSE: 2 | quot(s(0), 0, s(s(s(s(0)))), X7184), SCOPE: 203, CLAUSE: 3\n\nX7184 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1337 [label="1337: quot(s(0), 0, s(s(s(s(0)))), X7184), SCOPE: 203, CLAUSE: 3\n\nX7184 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1338 [label="1338: quot(s(0), s(s(s(s(0)))), s(s(s(s(0)))), X7210)\n\nX7210 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1339 [label="1339: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1340 [label="1340: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1341 [label="1341: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1342 [label="1342: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1343 [label="1343: quot(s(s(s(s(s(0))))), s(s(s(0))), s(s(s(0))), X7238)\n\nX7238 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1344 [label="1344: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1345 [label="1345: quot(s(s(s(s(s(0))))), s(s(s(0))), s(s(s(0))), X7238), SCOPE: 204, CLAUSE: 1 | quot(s(s(s(s(s(0))))), s(s(s(0))), s(s(s(0))), X7238), SCOPE: 204, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(s(0))), s(s(s(0))), X7238), SCOPE: 204, CLAUSE: 3\n\nX7238 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1346 [label="1346: quot(s(s(s(s(s(0))))), s(s(s(0))), s(s(s(0))), X7238), SCOPE: 204, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(s(0))), s(s(s(0))), X7238), SCOPE: 204, CLAUSE: 3\n\nX7238 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1347 [label="1347: quot(s(s(s(s(s(0))))), s(s(s(0))), s(s(s(0))), X7238), SCOPE: 204, CLAUSE: 2\n\nX7238 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1348 [label="1348: quot(s(s(s(s(s(0))))), s(s(s(0))), s(s(s(0))), X7238), SCOPE: 204, CLAUSE: 3\n\nX7238 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1349 [label="1349: quot(s(s(s(s(0)))), s(s(0)), s(s(s(0))), X7277)\n\nX7277 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1350 [label="1350: quot(s(s(s(s(0)))), s(s(0)), s(s(s(0))), X7277), SCOPE: 205, CLAUSE: 1 | quot(s(s(s(s(0)))), s(s(0)), s(s(s(0))), X7277), SCOPE: 205, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(0)), s(s(s(0))), X7277), SCOPE: 205, CLAUSE: 3\n\nX7277 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1351 [label="1351: quot(s(s(s(s(0)))), s(s(0)), s(s(s(0))), X7277), SCOPE: 205, CLAUSE: 2 | quot(s(s(s(s(0)))), s(s(0)), s(s(s(0))), X7277), SCOPE: 205, CLAUSE: 3\n\nX7277 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1352 [label="1352: quot(s(s(s(s(0)))), s(s(0)), s(s(s(0))), X7277), SCOPE: 205, CLAUSE: 2\n\nX7277 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1353 [label="1353: quot(s(s(s(s(0)))), s(s(0)), s(s(s(0))), X7277), SCOPE: 205, CLAUSE: 3\n\nX7277 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1354 [label="1354: quot(s(s(s(0))), s(0), s(s(s(0))), X7316)\n\nX7316 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1355 [label="1355: quot(s(s(s(0))), s(0), s(s(s(0))), X7316), SCOPE: 206, CLAUSE: 1 | quot(s(s(s(0))), s(0), s(s(s(0))), X7316), SCOPE: 206, CLAUSE: 2 | quot(s(s(s(0))), s(0), s(s(s(0))), X7316), SCOPE: 206, CLAUSE: 3\n\nX7316 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1356 [label="1356: quot(s(s(s(0))), s(0), s(s(s(0))), X7316), SCOPE: 206, CLAUSE: 2 | quot(s(s(s(0))), s(0), s(s(s(0))), X7316), SCOPE: 206, CLAUSE: 3\n\nX7316 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1357 [label="1357: quot(s(s(s(0))), s(0), s(s(s(0))), X7316), SCOPE: 206, CLAUSE: 2\n\nX7316 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1358 [label="1358: quot(s(s(s(0))), s(0), s(s(s(0))), X7316), SCOPE: 206, CLAUSE: 3\n\nX7316 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1359 [label="1359: quot(s(s(0)), 0, s(s(s(0))), X7355)\n\nX7355 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1360 [label="1360: quot(s(s(0)), 0, s(s(s(0))), X7355), SCOPE: 207, CLAUSE: 1 | quot(s(s(0)), 0, s(s(s(0))), X7355), SCOPE: 207, CLAUSE: 2 | quot(s(s(0)), 0, s(s(s(0))), X7355), SCOPE: 207, CLAUSE: 3\n\nX7355 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1361 [label="1361: quot(s(s(0)), 0, s(s(s(0))), X7355), SCOPE: 207, CLAUSE: 2 | quot(s(s(0)), 0, s(s(s(0))), X7355), SCOPE: 207, CLAUSE: 3\n\nX7355 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1362 [label="1362: quot(s(s(0)), 0, s(s(s(0))), X7355), SCOPE: 207, CLAUSE: 3\n\nX7355 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1363 [label="1363: quot(s(s(0)), s(s(s(0))), s(s(s(0))), X7381)\n\nX7381 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1364 [label="1364: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1365 [label="1365: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1366 [label="1366: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1367 [label="1367: quot(s(s(s(s(s(0))))), s(s(0)), s(s(0)), X7406)\n\nX7406 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1368 [label="1368: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1369 [label="1369: quot(s(s(s(s(s(0))))), s(s(0)), s(s(0)), X7406), SCOPE: 208, CLAUSE: 1 | quot(s(s(s(s(s(0))))), s(s(0)), s(s(0)), X7406), SCOPE: 208, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(0)), s(s(0)), X7406), SCOPE: 208, CLAUSE: 3\n\nX7406 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1370 [label="1370: quot(s(s(s(s(s(0))))), s(s(0)), s(s(0)), X7406), SCOPE: 208, CLAUSE: 2 | quot(s(s(s(s(s(0))))), s(s(0)), s(s(0)), X7406), SCOPE: 208, CLAUSE: 3\n\nX7406 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1371 [label="1371: quot(s(s(s(s(s(0))))), s(s(0)), s(s(0)), X7406), SCOPE: 208, CLAUSE: 2\n\nX7406 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1372 [label="1372: quot(s(s(s(s(s(0))))), s(s(0)), s(s(0)), X7406), SCOPE: 208, CLAUSE: 3\n\nX7406 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1373 [label="1373: quot(s(s(s(s(0)))), s(0), s(s(0)), X7445)\n\nX7445 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1374 [label="1374: quot(s(s(s(s(0)))), s(0), s(s(0)), X7445), SCOPE: 209, CLAUSE: 1 | quot(s(s(s(s(0)))), s(0), s(s(0)), X7445), SCOPE: 209, CLAUSE: 2 | quot(s(s(s(s(0)))), s(0), s(s(0)), X7445), SCOPE: 209, CLAUSE: 3\n\nX7445 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1375 [label="1375: quot(s(s(s(s(0)))), s(0), s(s(0)), X7445), SCOPE: 209, CLAUSE: 2 | quot(s(s(s(s(0)))), s(0), s(s(0)), X7445), SCOPE: 209, CLAUSE: 3\n\nX7445 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1376 [label="1376: quot(s(s(s(s(0)))), s(0), s(s(0)), X7445), SCOPE: 209, CLAUSE: 2\n\nX7445 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1377 [label="1377: quot(s(s(s(s(0)))), s(0), s(s(0)), X7445), SCOPE: 209, CLAUSE: 3\n\nX7445 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1378 [label="1378: quot(s(s(s(0))), 0, s(s(0)), X7484)\n\nX7484 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1379 [label="1379: quot(s(s(s(0))), 0, s(s(0)), X7484), SCOPE: 210, CLAUSE: 1 | quot(s(s(s(0))), 0, s(s(0)), X7484), SCOPE: 210, CLAUSE: 2 | quot(s(s(s(0))), 0, s(s(0)), X7484), SCOPE: 210, CLAUSE: 3\n\nX7484 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1380 [label="1380: quot(s(s(s(0))), 0, s(s(0)), X7484), SCOPE: 210, CLAUSE: 2 | quot(s(s(s(0))), 0, s(s(0)), X7484), SCOPE: 210, CLAUSE: 3\n\nX7484 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1381 [label="1381: quot(s(s(s(0))), 0, s(s(0)), X7484), SCOPE: 210, CLAUSE: 3\n\nX7484 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1382 [label="1382: quot(s(s(s(0))), s(s(0)), s(s(0)), X7510)\n\nX7510 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1383 [label="1383: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1384 [label="1384: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1385 [label="1385: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1386 [label="1386: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1387 [label="1387: times(T769, s(s(T767)), X5608)\n\nT767 is ground\nT769 is ground\nX5608 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1388 [label="1388: neq(s(s(s(s(s(s(s(T767))))))), T920)\n\nT767 is ground\nT920 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1389 [label="1389: pr(s(s(s(s(s(s(s(T761))))))), s(T761)), SCOPE: 211, CLAUSE: 5 | pr(s(s(s(s(s(s(s(T761))))))), s(T761)), SCOPE: 211, CLAUSE: 6\n\nT761 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1390 [label="1390: pr(s(s(s(s(s(s(s(T761))))))), s(T761)), SCOPE: 211, CLAUSE: 5\n\nT761 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1391 [label="1391: pr(s(s(s(s(s(s(s(T761))))))), s(T761)), SCOPE: 211, CLAUSE: 6\n\nT761 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1392 [label="1392: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1393 [label="1393: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1394 [label="1394: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1395 [label="1395: ','(not_divides(s(s(T937)), s(s(s(s(s(s(s(s(T937))))))))), pr(s(s(s(s(s(s(s(s(T937)))))))), s(T937)))\n\nT937 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1396 [label="1396: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1397 [label="N8: ','(not_divides(s(s(T937)), s(T939)), pr(s(T939), s(T937)))\n\nT937 is ground\nT939 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1398 [label="N9: not_divides(s(s(T937)), s(T939))\n\nT937 is ground\nT939 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1399 [label="1399: pr(s(T939), s(T937))\n\nT937 is ground\nT939 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1400 [label="1400: not_divides(s(s(T937)), s(T939)), SCOPE: 212, CLAUSE: 7\n\nT937 is ground\nT939 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1401 [label="1401: ','(div(s(T951), s(s(T950)), X7570), ','(times(X7570, s(s(T950)), X7571), neq(s(T951), X7571)))\n\nT950 is ground\nT951 is ground\nX7570 is free\nX7571 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1402 [label="N20: div(s(T951), s(s(T950)), X7570)\n\nT950 is ground\nT951 is ground\nX7570 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1403 [label="1403: ','(times(T954, s(s(T950)), X7571), neq(s(T951), X7571))\n\nT950 is ground\nT951 is ground\nT954 is ground\nX7571 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1404 [label="1404: div(s(T951), s(s(T950)), X7570), SCOPE: 213, CLAUSE: 0\n\nT950 is ground\nT951 is ground\nX7570 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1405 [label="1405: quot(s(T961), s(s(T962)), s(s(T962)), X7595)\n\nT961 is ground\nT962 is ground\nX7595 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1406 [label="1406: quot(s(T961), s(s(T962)), s(s(T962)), X7595), SCOPE: 214, CLAUSE: 1 | quot(s(T961), s(s(T962)), s(s(T962)), X7595), SCOPE: 214, CLAUSE: 2 | quot(s(T961), s(s(T962)), s(s(T962)), X7595), SCOPE: 214, CLAUSE: 3\n\nT961 is ground\nT962 is ground\nX7595 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1407 [label="1407: quot(s(T961), s(s(T962)), s(s(T962)), X7595), SCOPE: 214, CLAUSE: 2 | quot(s(T961), s(s(T962)), s(s(T962)), X7595), SCOPE: 214, CLAUSE: 3\n\nT961 is ground\nT962 is ground\nX7595 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1408 [label="1408: quot(s(T961), s(s(T962)), s(s(T962)), X7595), SCOPE: 214, CLAUSE: 2\n\nT961 is ground\nT962 is ground\nX7595 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1409 [label="1409: quot(s(T961), s(s(T962)), s(s(T962)), X7595), SCOPE: 214, CLAUSE: 3\n\nT961 is ground\nT962 is ground\nX7595 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1410 [label="1410: quot(T975, s(T976), s(s(T976)), X7634)\n\nT975 is ground\nT976 is ground\nX7634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1411 [label="1411: quot(T975, s(T976), s(s(T976)), X7634), SCOPE: 215, CLAUSE: 1 | quot(T975, s(T976), s(s(T976)), X7634), SCOPE: 215, CLAUSE: 2 | quot(T975, s(T976), s(s(T976)), X7634), SCOPE: 215, CLAUSE: 3\n\nT975 is ground\nT976 is ground\nX7634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1412 [label="1412: quot(T975, s(T976), s(s(T976)), X7634), SCOPE: 215, CLAUSE: 1\n\nT975 is ground\nT976 is ground\nX7634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1413 [label="1413: quot(T975, s(T976), s(s(T976)), X7634), SCOPE: 215, CLAUSE: 2 | quot(T975, s(T976), s(s(T976)), X7634), SCOPE: 215, CLAUSE: 3\n\nT975 is ground\nT976 is ground\nX7634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1414 [label="1414: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1415 [label="1415: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1416 [label="1416: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1417 [label="1417: quot(T975, s(T976), s(s(T976)), X7634), SCOPE: 215, CLAUSE: 2\n\nT975 is ground\nT976 is ground\nX7634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1418 [label="1418: quot(T975, s(T976), s(s(T976)), X7634), SCOPE: 215, CLAUSE: 3\n\nT975 is ground\nT976 is ground\nX7634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1419 [label="Z: quot(T992, T993, s(s(T993)), X7673)\n\nT992 is ground\nT993 is ground\nX7673 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1420 [label="1420: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1421 [label="1421: quot(T992, T993, s(s(T993)), X7673), SCOPE: 216, CLAUSE: 1 | quot(T992, T993, s(s(T993)), X7673), SCOPE: 216, CLAUSE: 2 | quot(T992, T993, s(s(T993)), X7673), SCOPE: 216, CLAUSE: 3\n\nT992 is ground\nT993 is ground\nX7673 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1422 [label="1422: quot(T992, T993, s(s(T993)), X7673), SCOPE: 216, CLAUSE: 1\n\nT992 is ground\nT993 is ground\nX7673 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1423 [label="1423: quot(T992, T993, s(s(T993)), X7673), SCOPE: 216, CLAUSE: 2 | quot(T992, T993, s(s(T993)), X7673), SCOPE: 216, CLAUSE: 3\n\nT992 is ground\nT993 is ground\nX7673 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1424 [label="1424: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1425 [label="1425: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1426 [label="1426: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1427 [label="1427: quot(T992, T993, s(s(T993)), X7673), SCOPE: 216, CLAUSE: 2\n\nT992 is ground\nT993 is ground\nX7673 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1428 [label="1428: quot(T992, T993, s(s(T993)), X7673), SCOPE: 216, CLAUSE: 3\n\nT992 is ground\nT993 is ground\nX7673 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1429 [label="1429: quot(T1009, T1010, s(s(s(T1010))), X7712)\n\nT1009 is ground\nT1010 is ground\nX7712 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1430 [label="1430: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1431 [label="1431: quot(T1009, T1010, s(s(s(T1010))), X7712), SCOPE: 217, CLAUSE: 1 | quot(T1009, T1010, s(s(s(T1010))), X7712), SCOPE: 217, CLAUSE: 2 | quot(T1009, T1010, s(s(s(T1010))), X7712), SCOPE: 217, CLAUSE: 3\n\nT1009 is ground\nT1010 is ground\nX7712 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1432 [label="1432: quot(T1009, T1010, s(s(s(T1010))), X7712), SCOPE: 217, CLAUSE: 1\n\nT1009 is ground\nT1010 is ground\nX7712 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1433 [label="1433: quot(T1009, T1010, s(s(s(T1010))), X7712), SCOPE: 217, CLAUSE: 2 | quot(T1009, T1010, s(s(s(T1010))), X7712), SCOPE: 217, CLAUSE: 3\n\nT1009 is ground\nT1010 is ground\nX7712 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1434 [label="1434: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1435 [label="1435: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1436 [label="1436: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1437 [label="1437: quot(T1009, T1010, s(s(s(T1010))), X7712), SCOPE: 217, CLAUSE: 2\n\nT1009 is ground\nT1010 is ground\nX7712 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1438 [label="1438: quot(T1009, T1010, s(s(s(T1010))), X7712), SCOPE: 217, CLAUSE: 3\n\nT1009 is ground\nT1010 is ground\nX7712 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1439 [label="1439: quot(T1026, T1027, s(s(s(s(T1027)))), X7751)\n\nT1026 is ground\nT1027 is ground\nX7751 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1440 [label="1440: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1441 [label="1441: quot(T1026, T1027, s(s(s(s(T1027)))), X7751), SCOPE: 218, CLAUSE: 1 | quot(T1026, T1027, s(s(s(s(T1027)))), X7751), SCOPE: 218, CLAUSE: 2 | quot(T1026, T1027, s(s(s(s(T1027)))), X7751), SCOPE: 218, CLAUSE: 3\n\nT1026 is ground\nT1027 is ground\nX7751 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1442 [label="1442: quot(T1026, T1027, s(s(s(s(T1027)))), X7751), SCOPE: 218, CLAUSE: 1\n\nT1026 is ground\nT1027 is ground\nX7751 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1443 [label="1443: quot(T1026, T1027, s(s(s(s(T1027)))), X7751), SCOPE: 218, CLAUSE: 2 | quot(T1026, T1027, s(s(s(s(T1027)))), X7751), SCOPE: 218, CLAUSE: 3\n\nT1026 is ground\nT1027 is ground\nX7751 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1444 [label="1444: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1445 [label="1445: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1446 [label="1446: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1447 [label="1447: quot(T1026, T1027, s(s(s(s(T1027)))), X7751), SCOPE: 218, CLAUSE: 2\n\nT1026 is ground\nT1027 is ground\nX7751 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1448 [label="1448: quot(T1026, T1027, s(s(s(s(T1027)))), X7751), SCOPE: 218, CLAUSE: 3\n\nT1026 is ground\nT1027 is ground\nX7751 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1449 [label="1449: quot(T1043, T1044, s(s(s(s(s(T1044))))), X7790)\n\nT1043 is ground\nT1044 is ground\nX7790 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1450 [label="1450: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1451 [label="1451: quot(T1043, T1044, s(s(s(s(s(T1044))))), X7790), SCOPE: 219, CLAUSE: 1 | quot(T1043, T1044, s(s(s(s(s(T1044))))), X7790), SCOPE: 219, CLAUSE: 2 | quot(T1043, T1044, s(s(s(s(s(T1044))))), X7790), SCOPE: 219, CLAUSE: 3\n\nT1043 is ground\nT1044 is ground\nX7790 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1452 [label="1452: quot(T1043, T1044, s(s(s(s(s(T1044))))), X7790), SCOPE: 219, CLAUSE: 1\n\nT1043 is ground\nT1044 is ground\nX7790 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1453 [label="1453: quot(T1043, T1044, s(s(s(s(s(T1044))))), X7790), SCOPE: 219, CLAUSE: 2 | quot(T1043, T1044, s(s(s(s(s(T1044))))), X7790), SCOPE: 219, CLAUSE: 3\n\nT1043 is ground\nT1044 is ground\nX7790 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1454 [label="1454: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1455 [label="1455: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1456 [label="1456: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1457 [label="1457: quot(T1043, T1044, s(s(s(s(s(T1044))))), X7790), SCOPE: 219, CLAUSE: 2\n\nT1043 is ground\nT1044 is ground\nX7790 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1458 [label="1458: quot(T1043, T1044, s(s(s(s(s(T1044))))), X7790), SCOPE: 219, CLAUSE: 3\n\nT1043 is ground\nT1044 is ground\nX7790 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1459 [label="1459: quot(T1060, T1061, s(s(s(s(s(s(T1061)))))), X7829)\n\nT1060 is ground\nT1061 is ground\nX7829 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1460 [label="1460: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1461 [label="1461: quot(T1060, T1061, s(s(s(s(s(s(T1061)))))), X7829), SCOPE: 220, CLAUSE: 1 | quot(T1060, T1061, s(s(s(s(s(s(T1061)))))), X7829), SCOPE: 220, CLAUSE: 2 | quot(T1060, T1061, s(s(s(s(s(s(T1061)))))), X7829), SCOPE: 220, CLAUSE: 3\n\nT1060 is ground\nT1061 is ground\nX7829 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1462 [label="1462: quot(T1060, T1061, s(s(s(s(s(s(T1061)))))), X7829), SCOPE: 220, CLAUSE: 1\n\nT1060 is ground\nT1061 is ground\nX7829 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1463 [label="1463: quot(T1060, T1061, s(s(s(s(s(s(T1061)))))), X7829), SCOPE: 220, CLAUSE: 2 | quot(T1060, T1061, s(s(s(s(s(s(T1061)))))), X7829), SCOPE: 220, CLAUSE: 3\n\nT1060 is ground\nT1061 is ground\nX7829 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1464 [label="1464: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1465 [label="1465: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1466 [label="1466: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1467 [label="1467: quot(T1060, T1061, s(s(s(s(s(s(T1061)))))), X7829), SCOPE: 220, CLAUSE: 2\n\nT1060 is ground\nT1061 is ground\nX7829 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1468 [label="1468: quot(T1060, T1061, s(s(s(s(s(s(T1061)))))), X7829), SCOPE: 220, CLAUSE: 3\n\nT1060 is ground\nT1061 is ground\nX7829 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1469 [label="1469: quot(T1077, T1078, s(s(s(s(s(s(s(T1078))))))), X7868)\n\nT1077 is ground\nT1078 is ground\nX7868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1470 [label="1470: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1471 [label="1471: quot(T1077, T1078, s(s(s(s(s(s(s(T1078))))))), X7868), SCOPE: 221, CLAUSE: 1 | quot(T1077, T1078, s(s(s(s(s(s(s(T1078))))))), X7868), SCOPE: 221, CLAUSE: 2 | quot(T1077, T1078, s(s(s(s(s(s(s(T1078))))))), X7868), SCOPE: 221, CLAUSE: 3\n\nT1077 is ground\nT1078 is ground\nX7868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1472 [label="1472: quot(T1077, T1078, s(s(s(s(s(s(s(T1078))))))), X7868), SCOPE: 221, CLAUSE: 1\n\nT1077 is ground\nT1078 is ground\nX7868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1473 [label="1473: quot(T1077, T1078, s(s(s(s(s(s(s(T1078))))))), X7868), SCOPE: 221, CLAUSE: 2 | quot(T1077, T1078, s(s(s(s(s(s(s(T1078))))))), X7868), SCOPE: 221, CLAUSE: 3\n\nT1077 is ground\nT1078 is ground\nX7868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1474 [label="1474: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1475 [label="1475: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1476 [label="1476: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1477 [label="1477: quot(T1077, T1078, s(s(s(s(s(s(s(T1078))))))), X7868), SCOPE: 221, CLAUSE: 2\n\nT1077 is ground\nT1078 is ground\nX7868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1478 [label="1478: quot(T1077, T1078, s(s(s(s(s(s(s(T1078))))))), X7868), SCOPE: 221, CLAUSE: 3\n\nT1077 is ground\nT1078 is ground\nX7868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1479 [label="1479: quot(T1094, T1095, s(s(s(s(s(s(s(s(T1095)))))))), X7907)\n\nT1094 is ground\nT1095 is ground\nX7907 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1480 [label="1480: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1481 [label="Y: quot(T1094, T1095, s(T1098), X7907)\n\nT1094 is ground\nT1095 is ground\nT1098 is ground\nX7907 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1482 [label="1482: quot(T1094, T1095, s(T1098), X7907), SCOPE: 222, CLAUSE: 1 | quot(T1094, T1095, s(T1098), X7907), SCOPE: 222, CLAUSE: 2 | quot(T1094, T1095, s(T1098), X7907), SCOPE: 222, CLAUSE: 3\n\nT1094 is ground\nT1095 is ground\nT1098 is ground\nX7907 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1483 [label="1483: quot(T1094, T1095, s(T1098), X7907), SCOPE: 222, CLAUSE: 1\n\nT1094 is ground\nT1095 is ground\nT1098 is ground\nX7907 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1484 [label="1484: quot(T1094, T1095, s(T1098), X7907), SCOPE: 222, CLAUSE: 2 | quot(T1094, T1095, s(T1098), X7907), SCOPE: 222, CLAUSE: 3\n\nT1094 is ground\nT1095 is ground\nT1098 is ground\nX7907 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1485 [label="1485: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1486 [label="1486: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1487 [label="1487: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1488 [label="1488: quot(T1094, T1095, s(T1098), X7907), SCOPE: 222, CLAUSE: 2\n\nT1094 is ground\nT1095 is ground\nT1098 is ground\nX7907 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1489 [label="1489: quot(T1094, T1095, s(T1098), X7907), SCOPE: 222, CLAUSE: 3\n\nT1094 is ground\nT1095 is ground\nT1098 is ground\nX7907 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1490 [label="1490: quot(T1125, T1126, s(T1127), X7950)\n\nT1125 is ground\nT1126 is ground\nT1127 is ground\nX7950 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1491 [label="1491: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1492 [label="1492: quot(T1136, s(T1137), s(T1137), X7966)\n\nT1136 is ground\nT1137 is ground\nX7966 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1493 [label="1493: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1494 [label="1494: quot(T1136, s(T1137), s(T1137), X7966), SCOPE: 223, CLAUSE: 1 | quot(T1136, s(T1137), s(T1137), X7966), SCOPE: 223, CLAUSE: 2 | quot(T1136, s(T1137), s(T1137), X7966), SCOPE: 223, CLAUSE: 3\n\nT1136 is ground\nT1137 is ground\nX7966 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1495 [label="1495: quot(T1136, s(T1137), s(T1137), X7966), SCOPE: 223, CLAUSE: 1\n\nT1136 is ground\nT1137 is ground\nX7966 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1496 [label="1496: quot(T1136, s(T1137), s(T1137), X7966), SCOPE: 223, CLAUSE: 2 | quot(T1136, s(T1137), s(T1137), X7966), SCOPE: 223, CLAUSE: 3\n\nT1136 is ground\nT1137 is ground\nX7966 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1497 [label="1497: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1498 [label="1498: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1499 [label="1499: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1500 [label="1500: quot(T1136, s(T1137), s(T1137), X7966), SCOPE: 223, CLAUSE: 2\n\nT1136 is ground\nT1137 is ground\nX7966 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1501 [label="1501: quot(T1136, s(T1137), s(T1137), X7966), SCOPE: 223, CLAUSE: 3\n\nT1136 is ground\nT1137 is ground\nX7966 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1502 [label="1502: quot(T1153, T1154, s(T1154), X8005)\n\nT1153 is ground\nT1154 is ground\nX8005 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1503 [label="1503: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1504 [label="1504: quot(T1153, T1154, s(T1154), X8005), SCOPE: 224, CLAUSE: 1 | quot(T1153, T1154, s(T1154), X8005), SCOPE: 224, CLAUSE: 2 | quot(T1153, T1154, s(T1154), X8005), SCOPE: 224, CLAUSE: 3\n\nT1153 is ground\nT1154 is ground\nX8005 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1505 [label="1505: quot(T1153, T1154, s(T1154), X8005), SCOPE: 224, CLAUSE: 1\n\nT1153 is ground\nT1154 is ground\nX8005 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1506 [label="1506: quot(T1153, T1154, s(T1154), X8005), SCOPE: 224, CLAUSE: 2 | quot(T1153, T1154, s(T1154), X8005), SCOPE: 224, CLAUSE: 3\n\nT1153 is ground\nT1154 is ground\nX8005 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1507 [label="1507: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1508 [label="1508: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1509 [label="1509: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1510 [label="1510: quot(T1153, T1154, s(T1154), X8005), SCOPE: 224, CLAUSE: 2\n\nT1153 is ground\nT1154 is ground\nX8005 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1511 [label="1511: quot(T1153, T1154, s(T1154), X8005), SCOPE: 224, CLAUSE: 3\n\nT1153 is ground\nT1154 is ground\nX8005 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1512 [label="1512: quot(T1170, T1171, s(s(T1171)), X8044)\n\nT1170 is ground\nT1171 is ground\nX8044 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1513 [label="1513: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1514 [label="N1: quot(T1176, s(0), s(0), X8060)\n\nT1176 is ground\nX8060 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1515 [label="1515: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1516 [label="1516: quot(T1176, s(0), s(0), X8060), SCOPE: 225, CLAUSE: 1 | quot(T1176, s(0), s(0), X8060), SCOPE: 225, CLAUSE: 2 | quot(T1176, s(0), s(0), X8060), SCOPE: 225, CLAUSE: 3\n\nT1176 is ground\nX8060 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1517 [label="1517: quot(T1176, s(0), s(0), X8060), SCOPE: 225, CLAUSE: 1\n\nT1176 is ground\nX8060 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1518 [label="1518: quot(T1176, s(0), s(0), X8060), SCOPE: 225, CLAUSE: 2 | quot(T1176, s(0), s(0), X8060), SCOPE: 225, CLAUSE: 3\n\nT1176 is ground\nX8060 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1519 [label="1519: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1520 [label="1520: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1521 [label="1521: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1522 [label="1522: quot(T1176, s(0), s(0), X8060), SCOPE: 225, CLAUSE: 2\n\nT1176 is ground\nX8060 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1523 [label="1523: quot(T1176, s(0), s(0), X8060), SCOPE: 225, CLAUSE: 3\n\nT1176 is ground\nX8060 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1524 [label="1524: quot(T1181, 0, s(0), X8099)\n\nT1181 is ground\nX8099 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1525 [label="1525: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1526 [label="1526: quot(T1181, 0, s(0), X8099), SCOPE: 226, CLAUSE: 1 | quot(T1181, 0, s(0), X8099), SCOPE: 226, CLAUSE: 2 | quot(T1181, 0, s(0), X8099), SCOPE: 226, CLAUSE: 3\n\nT1181 is ground\nX8099 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1527 [label="1527: quot(T1181, 0, s(0), X8099), SCOPE: 226, CLAUSE: 2 | quot(T1181, 0, s(0), X8099), SCOPE: 226, CLAUSE: 3\n\nT1181 is ground\nX8099 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1528 [label="1528: quot(T1181, 0, s(0), X8099), SCOPE: 226, CLAUSE: 3\n\nT1181 is ground\nX8099 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1529 [label="1529: quot(T1185, s(0), s(0), X8125)\n\nT1185 is ground\nX8125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1530 [label="1530: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1531 [label="1531: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1532 [label="N2: quot(T1190, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X8147)\n\nT1190 is ground\nX8147 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1533 [label="1533: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1534 [label="1534: quot(T1190, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X8147), SCOPE: 227, CLAUSE: 1 | quot(T1190, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X8147), SCOPE: 227, CLAUSE: 2 | quot(T1190, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X8147), SCOPE: 227, CLAUSE: 3\n\nT1190 is ground\nX8147 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1535 [label="1535: quot(T1190, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X8147), SCOPE: 227, CLAUSE: 1\n\nT1190 is ground\nX8147 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1536 [label="1536: quot(T1190, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X8147), SCOPE: 227, CLAUSE: 2 | quot(T1190, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X8147), SCOPE: 227, CLAUSE: 3\n\nT1190 is ground\nX8147 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1537 [label="1537: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1538 [label="1538: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1539 [label="1539: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1540 [label="1540: quot(T1190, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X8147), SCOPE: 227, CLAUSE: 2\n\nT1190 is ground\nX8147 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1541 [label="1541: quot(T1190, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X8147), SCOPE: 227, CLAUSE: 3\n\nT1190 is ground\nX8147 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1542 [label="1542: quot(T1195, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X8186)\n\nT1195 is ground\nX8186 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1543 [label="1543: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1544 [label="1544: quot(T1195, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X8186), SCOPE: 228, CLAUSE: 1 | quot(T1195, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X8186), SCOPE: 228, CLAUSE: 2 | quot(T1195, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X8186), SCOPE: 228, CLAUSE: 3\n\nT1195 is ground\nX8186 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1545 [label="1545: quot(T1195, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X8186), SCOPE: 228, CLAUSE: 1\n\nT1195 is ground\nX8186 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1546 [label="1546: quot(T1195, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X8186), SCOPE: 228, CLAUSE: 2 | quot(T1195, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X8186), SCOPE: 228, CLAUSE: 3\n\nT1195 is ground\nX8186 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1547 [label="1547: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1548 [label="1548: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1549 [label="1549: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1550 [label="1550: quot(T1195, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X8186), SCOPE: 228, CLAUSE: 2\n\nT1195 is ground\nX8186 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1551 [label="1551: quot(T1195, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), X8186), SCOPE: 228, CLAUSE: 3\n\nT1195 is ground\nX8186 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1552 [label="1552: quot(T1200, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X8225)\n\nT1200 is ground\nX8225 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1553 [label="1553: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1554 [label="1554: quot(T1200, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X8225), SCOPE: 229, CLAUSE: 1 | quot(T1200, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X8225), SCOPE: 229, CLAUSE: 2 | quot(T1200, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X8225), SCOPE: 229, CLAUSE: 3\n\nT1200 is ground\nX8225 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1555 [label="1555: quot(T1200, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X8225), SCOPE: 229, CLAUSE: 1\n\nT1200 is ground\nX8225 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1556 [label="1556: quot(T1200, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X8225), SCOPE: 229, CLAUSE: 2 | quot(T1200, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X8225), SCOPE: 229, CLAUSE: 3\n\nT1200 is ground\nX8225 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1557 [label="1557: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1558 [label="1558: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1559 [label="1559: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1560 [label="1560: quot(T1200, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X8225), SCOPE: 229, CLAUSE: 2\n\nT1200 is ground\nX8225 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1561 [label="1561: quot(T1200, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), X8225), SCOPE: 229, CLAUSE: 3\n\nT1200 is ground\nX8225 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1562 [label="1562: quot(T1205, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X8264)\n\nT1205 is ground\nX8264 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1563 [label="1563: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1564 [label="1564: quot(T1205, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X8264), SCOPE: 230, CLAUSE: 1 | quot(T1205, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X8264), SCOPE: 230, CLAUSE: 2 | quot(T1205, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X8264), SCOPE: 230, CLAUSE: 3\n\nT1205 is ground\nX8264 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1565 [label="1565: quot(T1205, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X8264), SCOPE: 230, CLAUSE: 1\n\nT1205 is ground\nX8264 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1566 [label="1566: quot(T1205, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X8264), SCOPE: 230, CLAUSE: 2 | quot(T1205, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X8264), SCOPE: 230, CLAUSE: 3\n\nT1205 is ground\nX8264 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1567 [label="1567: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1568 [label="1568: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1569 [label="1569: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1570 [label="1570: quot(T1205, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X8264), SCOPE: 230, CLAUSE: 2\n\nT1205 is ground\nX8264 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1571 [label="1571: quot(T1205, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), X8264), SCOPE: 230, CLAUSE: 3\n\nT1205 is ground\nX8264 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1572 [label="1572: quot(T1210, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X8303)\n\nT1210 is ground\nX8303 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1573 [label="1573: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1574 [label="1574: quot(T1210, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X8303), SCOPE: 231, CLAUSE: 1 | quot(T1210, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X8303), SCOPE: 231, CLAUSE: 2 | quot(T1210, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X8303), SCOPE: 231, CLAUSE: 3\n\nT1210 is ground\nX8303 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1575 [label="1575: quot(T1210, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X8303), SCOPE: 231, CLAUSE: 1\n\nT1210 is ground\nX8303 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1576 [label="1576: quot(T1210, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X8303), SCOPE: 231, CLAUSE: 2 | quot(T1210, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X8303), SCOPE: 231, CLAUSE: 3\n\nT1210 is ground\nX8303 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1577 [label="1577: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1578 [label="1578: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1579 [label="1579: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1580 [label="1580: quot(T1210, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X8303), SCOPE: 231, CLAUSE: 2\n\nT1210 is ground\nX8303 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1581 [label="1581: quot(T1210, s(s(s(0))), s(s(s(s(s(s(s(0))))))), X8303), SCOPE: 231, CLAUSE: 3\n\nT1210 is ground\nX8303 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1582 [label="1582: quot(T1215, s(s(0)), s(s(s(s(s(s(s(0))))))), X8342)\n\nT1215 is ground\nX8342 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1583 [label="1583: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1584 [label="1584: quot(T1215, s(s(0)), s(s(s(s(s(s(s(0))))))), X8342), SCOPE: 232, CLAUSE: 1 | quot(T1215, s(s(0)), s(s(s(s(s(s(s(0))))))), X8342), SCOPE: 232, CLAUSE: 2 | quot(T1215, s(s(0)), s(s(s(s(s(s(s(0))))))), X8342), SCOPE: 232, CLAUSE: 3\n\nT1215 is ground\nX8342 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1585 [label="1585: quot(T1215, s(s(0)), s(s(s(s(s(s(s(0))))))), X8342), SCOPE: 232, CLAUSE: 1\n\nT1215 is ground\nX8342 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1586 [label="1586: quot(T1215, s(s(0)), s(s(s(s(s(s(s(0))))))), X8342), SCOPE: 232, CLAUSE: 2 | quot(T1215, s(s(0)), s(s(s(s(s(s(s(0))))))), X8342), SCOPE: 232, CLAUSE: 3\n\nT1215 is ground\nX8342 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1587 [label="1587: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1588 [label="1588: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1589 [label="1589: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1590 [label="1590: quot(T1215, s(s(0)), s(s(s(s(s(s(s(0))))))), X8342), SCOPE: 232, CLAUSE: 2\n\nT1215 is ground\nX8342 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1591 [label="1591: quot(T1215, s(s(0)), s(s(s(s(s(s(s(0))))))), X8342), SCOPE: 232, CLAUSE: 3\n\nT1215 is ground\nX8342 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1592 [label="1592: quot(T1220, s(0), s(s(s(s(s(s(s(0))))))), X8381)\n\nT1220 is ground\nX8381 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1593 [label="1593: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1594 [label="1594: quot(T1220, s(0), s(s(s(s(s(s(s(0))))))), X8381), SCOPE: 233, CLAUSE: 1 | quot(T1220, s(0), s(s(s(s(s(s(s(0))))))), X8381), SCOPE: 233, CLAUSE: 2 | quot(T1220, s(0), s(s(s(s(s(s(s(0))))))), X8381), SCOPE: 233, CLAUSE: 3\n\nT1220 is ground\nX8381 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1595 [label="1595: quot(T1220, s(0), s(s(s(s(s(s(s(0))))))), X8381), SCOPE: 233, CLAUSE: 1\n\nT1220 is ground\nX8381 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1596 [label="1596: quot(T1220, s(0), s(s(s(s(s(s(s(0))))))), X8381), SCOPE: 233, CLAUSE: 2 | quot(T1220, s(0), s(s(s(s(s(s(s(0))))))), X8381), SCOPE: 233, CLAUSE: 3\n\nT1220 is ground\nX8381 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1597 [label="1597: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1598 [label="1598: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1599 [label="1599: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1600 [label="1600: quot(T1220, s(0), s(s(s(s(s(s(s(0))))))), X8381), SCOPE: 233, CLAUSE: 2\n\nT1220 is ground\nX8381 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1601 [label="1601: quot(T1220, s(0), s(s(s(s(s(s(s(0))))))), X8381), SCOPE: 233, CLAUSE: 3\n\nT1220 is ground\nX8381 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1602 [label="1602: quot(T1225, 0, s(s(s(s(s(s(s(0))))))), X8420)\n\nT1225 is ground\nX8420 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1603 [label="1603: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1604 [label="1604: quot(T1225, 0, s(s(s(s(s(s(s(0))))))), X8420), SCOPE: 234, CLAUSE: 1 | quot(T1225, 0, s(s(s(s(s(s(s(0))))))), X8420), SCOPE: 234, CLAUSE: 2 | quot(T1225, 0, s(s(s(s(s(s(s(0))))))), X8420), SCOPE: 234, CLAUSE: 3\n\nT1225 is ground\nX8420 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1605 [label="1605: quot(T1225, 0, s(s(s(s(s(s(s(0))))))), X8420), SCOPE: 234, CLAUSE: 2 | quot(T1225, 0, s(s(s(s(s(s(s(0))))))), X8420), SCOPE: 234, CLAUSE: 3\n\nT1225 is ground\nX8420 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1606 [label="1606: quot(T1225, 0, s(s(s(s(s(s(s(0))))))), X8420), SCOPE: 234, CLAUSE: 3\n\nT1225 is ground\nX8420 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1607 [label="1607: quot(T1229, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X8446)\n\nT1229 is ground\nX8446 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1608 [label="1608: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1609 [label="1609: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1610 [label="1610: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1611 [label="1611: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1612 [label="1612: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1613 [label="1613: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1614 [label="1614: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1615 [label="N3: quot(T1239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X8483)\n\nT1239 is ground\nX8483 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1616 [label="1616: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1617 [label="1617: quot(T1239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X8483), SCOPE: 235, CLAUSE: 1 | quot(T1239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X8483), SCOPE: 235, CLAUSE: 2 | quot(T1239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X8483), SCOPE: 235, CLAUSE: 3\n\nT1239 is ground\nX8483 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1618 [label="1618: quot(T1239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X8483), SCOPE: 235, CLAUSE: 1\n\nT1239 is ground\nX8483 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1619 [label="1619: quot(T1239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X8483), SCOPE: 235, CLAUSE: 2 | quot(T1239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X8483), SCOPE: 235, CLAUSE: 3\n\nT1239 is ground\nX8483 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1620 [label="1620: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1621 [label="1621: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1622 [label="1622: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1623 [label="1623: quot(T1239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X8483), SCOPE: 235, CLAUSE: 2\n\nT1239 is ground\nX8483 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1624 [label="1624: quot(T1239, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X8483), SCOPE: 235, CLAUSE: 3\n\nT1239 is ground\nX8483 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1625 [label="1625: quot(T1244, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X8522)\n\nT1244 is ground\nX8522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1626 [label="1626: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1627 [label="1627: quot(T1244, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X8522), SCOPE: 236, CLAUSE: 1 | quot(T1244, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X8522), SCOPE: 236, CLAUSE: 2 | quot(T1244, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X8522), SCOPE: 236, CLAUSE: 3\n\nT1244 is ground\nX8522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1628 [label="1628: quot(T1244, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X8522), SCOPE: 236, CLAUSE: 1\n\nT1244 is ground\nX8522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1629 [label="1629: quot(T1244, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X8522), SCOPE: 236, CLAUSE: 2 | quot(T1244, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X8522), SCOPE: 236, CLAUSE: 3\n\nT1244 is ground\nX8522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1630 [label="1630: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1631 [label="1631: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1632 [label="1632: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1633 [label="1633: quot(T1244, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X8522), SCOPE: 236, CLAUSE: 2\n\nT1244 is ground\nX8522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1634 [label="1634: quot(T1244, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), X8522), SCOPE: 236, CLAUSE: 3\n\nT1244 is ground\nX8522 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1635 [label="1635: quot(T1249, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X8561)\n\nT1249 is ground\nX8561 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1636 [label="1636: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1637 [label="1637: quot(T1249, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X8561), SCOPE: 237, CLAUSE: 1 | quot(T1249, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X8561), SCOPE: 237, CLAUSE: 2 | quot(T1249, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X8561), SCOPE: 237, CLAUSE: 3\n\nT1249 is ground\nX8561 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1638 [label="1638: quot(T1249, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X8561), SCOPE: 237, CLAUSE: 1\n\nT1249 is ground\nX8561 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1639 [label="1639: quot(T1249, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X8561), SCOPE: 237, CLAUSE: 2 | quot(T1249, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X8561), SCOPE: 237, CLAUSE: 3\n\nT1249 is ground\nX8561 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1640 [label="1640: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1641 [label="1641: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1642 [label="1642: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1643 [label="1643: quot(T1249, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X8561), SCOPE: 237, CLAUSE: 2\n\nT1249 is ground\nX8561 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1644 [label="1644: quot(T1249, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), X8561), SCOPE: 237, CLAUSE: 3\n\nT1249 is ground\nX8561 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1645 [label="1645: quot(T1254, s(s(s(0))), s(s(s(s(s(s(0)))))), X8600)\n\nT1254 is ground\nX8600 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1646 [label="1646: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1647 [label="1647: quot(T1254, s(s(s(0))), s(s(s(s(s(s(0)))))), X8600), SCOPE: 238, CLAUSE: 1 | quot(T1254, s(s(s(0))), s(s(s(s(s(s(0)))))), X8600), SCOPE: 238, CLAUSE: 2 | quot(T1254, s(s(s(0))), s(s(s(s(s(s(0)))))), X8600), SCOPE: 238, CLAUSE: 3\n\nT1254 is ground\nX8600 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1648 [label="1648: quot(T1254, s(s(s(0))), s(s(s(s(s(s(0)))))), X8600), SCOPE: 238, CLAUSE: 1\n\nT1254 is ground\nX8600 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1649 [label="1649: quot(T1254, s(s(s(0))), s(s(s(s(s(s(0)))))), X8600), SCOPE: 238, CLAUSE: 2 | quot(T1254, s(s(s(0))), s(s(s(s(s(s(0)))))), X8600), SCOPE: 238, CLAUSE: 3\n\nT1254 is ground\nX8600 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1650 [label="1650: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1651 [label="1651: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1652 [label="1652: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1653 [label="1653: quot(T1254, s(s(s(0))), s(s(s(s(s(s(0)))))), X8600), SCOPE: 238, CLAUSE: 2\n\nT1254 is ground\nX8600 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1654 [label="1654: quot(T1254, s(s(s(0))), s(s(s(s(s(s(0)))))), X8600), SCOPE: 238, CLAUSE: 3\n\nT1254 is ground\nX8600 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1655 [label="1655: quot(T1259, s(s(0)), s(s(s(s(s(s(0)))))), X8639)\n\nT1259 is ground\nX8639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1656 [label="1656: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1657 [label="1657: quot(T1259, s(s(0)), s(s(s(s(s(s(0)))))), X8639), SCOPE: 239, CLAUSE: 1 | quot(T1259, s(s(0)), s(s(s(s(s(s(0)))))), X8639), SCOPE: 239, CLAUSE: 2 | quot(T1259, s(s(0)), s(s(s(s(s(s(0)))))), X8639), SCOPE: 239, CLAUSE: 3\n\nT1259 is ground\nX8639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1658 [label="1658: quot(T1259, s(s(0)), s(s(s(s(s(s(0)))))), X8639), SCOPE: 239, CLAUSE: 1\n\nT1259 is ground\nX8639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1659 [label="1659: quot(T1259, s(s(0)), s(s(s(s(s(s(0)))))), X8639), SCOPE: 239, CLAUSE: 2 | quot(T1259, s(s(0)), s(s(s(s(s(s(0)))))), X8639), SCOPE: 239, CLAUSE: 3\n\nT1259 is ground\nX8639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1660 [label="1660: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1661 [label="1661: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1662 [label="1662: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1663 [label="1663: quot(T1259, s(s(0)), s(s(s(s(s(s(0)))))), X8639), SCOPE: 239, CLAUSE: 2\n\nT1259 is ground\nX8639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1664 [label="1664: quot(T1259, s(s(0)), s(s(s(s(s(s(0)))))), X8639), SCOPE: 239, CLAUSE: 3\n\nT1259 is ground\nX8639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1665 [label="1665: quot(T1264, s(0), s(s(s(s(s(s(0)))))), X8678)\n\nT1264 is ground\nX8678 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1666 [label="1666: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1667 [label="1667: quot(T1264, s(0), s(s(s(s(s(s(0)))))), X8678), SCOPE: 240, CLAUSE: 1 | quot(T1264, s(0), s(s(s(s(s(s(0)))))), X8678), SCOPE: 240, CLAUSE: 2 | quot(T1264, s(0), s(s(s(s(s(s(0)))))), X8678), SCOPE: 240, CLAUSE: 3\n\nT1264 is ground\nX8678 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1668 [label="1668: quot(T1264, s(0), s(s(s(s(s(s(0)))))), X8678), SCOPE: 240, CLAUSE: 1\n\nT1264 is ground\nX8678 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1669 [label="1669: quot(T1264, s(0), s(s(s(s(s(s(0)))))), X8678), SCOPE: 240, CLAUSE: 2 | quot(T1264, s(0), s(s(s(s(s(s(0)))))), X8678), SCOPE: 240, CLAUSE: 3\n\nT1264 is ground\nX8678 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1670 [label="1670: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1671 [label="1671: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1672 [label="1672: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1673 [label="1673: quot(T1264, s(0), s(s(s(s(s(s(0)))))), X8678), SCOPE: 240, CLAUSE: 2\n\nT1264 is ground\nX8678 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1674 [label="1674: quot(T1264, s(0), s(s(s(s(s(s(0)))))), X8678), SCOPE: 240, CLAUSE: 3\n\nT1264 is ground\nX8678 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1675 [label="1675: quot(T1269, 0, s(s(s(s(s(s(0)))))), X8717)\n\nT1269 is ground\nX8717 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1676 [label="1676: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1677 [label="1677: quot(T1269, 0, s(s(s(s(s(s(0)))))), X8717), SCOPE: 241, CLAUSE: 1 | quot(T1269, 0, s(s(s(s(s(s(0)))))), X8717), SCOPE: 241, CLAUSE: 2 | quot(T1269, 0, s(s(s(s(s(s(0)))))), X8717), SCOPE: 241, CLAUSE: 3\n\nT1269 is ground\nX8717 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1678 [label="1678: quot(T1269, 0, s(s(s(s(s(s(0)))))), X8717), SCOPE: 241, CLAUSE: 2 | quot(T1269, 0, s(s(s(s(s(s(0)))))), X8717), SCOPE: 241, CLAUSE: 3\n\nT1269 is ground\nX8717 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1679 [label="1679: quot(T1269, 0, s(s(s(s(s(s(0)))))), X8717), SCOPE: 241, CLAUSE: 3\n\nT1269 is ground\nX8717 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1680 [label="1680: quot(T1273, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X8743)\n\nT1273 is ground\nX8743 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1681 [label="1681: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1682 [label="1682: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1683 [label="1683: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1684 [label="1684: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1685 [label="1685: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1686 [label="1686: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1687 [label="N4: quot(T1282, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X8777)\n\nT1282 is ground\nX8777 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1688 [label="1688: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1689 [label="1689: quot(T1282, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X8777), SCOPE: 242, CLAUSE: 1 | quot(T1282, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X8777), SCOPE: 242, CLAUSE: 2 | quot(T1282, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X8777), SCOPE: 242, CLAUSE: 3\n\nT1282 is ground\nX8777 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1690 [label="1690: quot(T1282, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X8777), SCOPE: 242, CLAUSE: 1\n\nT1282 is ground\nX8777 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1691 [label="1691: quot(T1282, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X8777), SCOPE: 242, CLAUSE: 2 | quot(T1282, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X8777), SCOPE: 242, CLAUSE: 3\n\nT1282 is ground\nX8777 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1692 [label="1692: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1693 [label="1693: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1694 [label="1694: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1695 [label="1695: quot(T1282, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X8777), SCOPE: 242, CLAUSE: 2\n\nT1282 is ground\nX8777 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1696 [label="1696: quot(T1282, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X8777), SCOPE: 242, CLAUSE: 3\n\nT1282 is ground\nX8777 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1697 [label="1697: quot(T1287, s(s(s(s(0)))), s(s(s(s(s(0))))), X8816)\n\nT1287 is ground\nX8816 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1698 [label="1698: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1699 [label="1699: quot(T1287, s(s(s(s(0)))), s(s(s(s(s(0))))), X8816), SCOPE: 243, CLAUSE: 1 | quot(T1287, s(s(s(s(0)))), s(s(s(s(s(0))))), X8816), SCOPE: 243, CLAUSE: 2 | quot(T1287, s(s(s(s(0)))), s(s(s(s(s(0))))), X8816), SCOPE: 243, CLAUSE: 3\n\nT1287 is ground\nX8816 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1700 [label="1700: quot(T1287, s(s(s(s(0)))), s(s(s(s(s(0))))), X8816), SCOPE: 243, CLAUSE: 1\n\nT1287 is ground\nX8816 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1701 [label="1701: quot(T1287, s(s(s(s(0)))), s(s(s(s(s(0))))), X8816), SCOPE: 243, CLAUSE: 2 | quot(T1287, s(s(s(s(0)))), s(s(s(s(s(0))))), X8816), SCOPE: 243, CLAUSE: 3\n\nT1287 is ground\nX8816 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1702 [label="1702: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1703 [label="1703: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1704 [label="1704: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1705 [label="1705: quot(T1287, s(s(s(s(0)))), s(s(s(s(s(0))))), X8816), SCOPE: 243, CLAUSE: 2\n\nT1287 is ground\nX8816 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1706 [label="1706: quot(T1287, s(s(s(s(0)))), s(s(s(s(s(0))))), X8816), SCOPE: 243, CLAUSE: 3\n\nT1287 is ground\nX8816 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1707 [label="1707: quot(T1292, s(s(s(0))), s(s(s(s(s(0))))), X8855)\n\nT1292 is ground\nX8855 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1708 [label="1708: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1709 [label="1709: quot(T1292, s(s(s(0))), s(s(s(s(s(0))))), X8855), SCOPE: 244, CLAUSE: 1 | quot(T1292, s(s(s(0))), s(s(s(s(s(0))))), X8855), SCOPE: 244, CLAUSE: 2 | quot(T1292, s(s(s(0))), s(s(s(s(s(0))))), X8855), SCOPE: 244, CLAUSE: 3\n\nT1292 is ground\nX8855 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1710 [label="1710: quot(T1292, s(s(s(0))), s(s(s(s(s(0))))), X8855), SCOPE: 244, CLAUSE: 1\n\nT1292 is ground\nX8855 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1711 [label="1711: quot(T1292, s(s(s(0))), s(s(s(s(s(0))))), X8855), SCOPE: 244, CLAUSE: 2 | quot(T1292, s(s(s(0))), s(s(s(s(s(0))))), X8855), SCOPE: 244, CLAUSE: 3\n\nT1292 is ground\nX8855 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1712 [label="1712: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1713 [label="1713: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1714 [label="1714: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1715 [label="1715: quot(T1292, s(s(s(0))), s(s(s(s(s(0))))), X8855), SCOPE: 244, CLAUSE: 2\n\nT1292 is ground\nX8855 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1716 [label="1716: quot(T1292, s(s(s(0))), s(s(s(s(s(0))))), X8855), SCOPE: 244, CLAUSE: 3\n\nT1292 is ground\nX8855 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1717 [label="1717: quot(T1297, s(s(0)), s(s(s(s(s(0))))), X8894)\n\nT1297 is ground\nX8894 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1718 [label="1718: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1719 [label="1719: quot(T1297, s(s(0)), s(s(s(s(s(0))))), X8894), SCOPE: 245, CLAUSE: 1 | quot(T1297, s(s(0)), s(s(s(s(s(0))))), X8894), SCOPE: 245, CLAUSE: 2 | quot(T1297, s(s(0)), s(s(s(s(s(0))))), X8894), SCOPE: 245, CLAUSE: 3\n\nT1297 is ground\nX8894 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1720 [label="1720: quot(T1297, s(s(0)), s(s(s(s(s(0))))), X8894), SCOPE: 245, CLAUSE: 1\n\nT1297 is ground\nX8894 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1721 [label="1721: quot(T1297, s(s(0)), s(s(s(s(s(0))))), X8894), SCOPE: 245, CLAUSE: 2 | quot(T1297, s(s(0)), s(s(s(s(s(0))))), X8894), SCOPE: 245, CLAUSE: 3\n\nT1297 is ground\nX8894 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1722 [label="1722: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1723 [label="1723: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1724 [label="1724: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1725 [label="1725: quot(T1297, s(s(0)), s(s(s(s(s(0))))), X8894), SCOPE: 245, CLAUSE: 2\n\nT1297 is ground\nX8894 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1726 [label="1726: quot(T1297, s(s(0)), s(s(s(s(s(0))))), X8894), SCOPE: 245, CLAUSE: 3\n\nT1297 is ground\nX8894 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1727 [label="1727: quot(T1302, s(0), s(s(s(s(s(0))))), X8933)\n\nT1302 is ground\nX8933 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1728 [label="1728: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1729 [label="1729: quot(T1302, s(0), s(s(s(s(s(0))))), X8933), SCOPE: 246, CLAUSE: 1 | quot(T1302, s(0), s(s(s(s(s(0))))), X8933), SCOPE: 246, CLAUSE: 2 | quot(T1302, s(0), s(s(s(s(s(0))))), X8933), SCOPE: 246, CLAUSE: 3\n\nT1302 is ground\nX8933 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1730 [label="1730: quot(T1302, s(0), s(s(s(s(s(0))))), X8933), SCOPE: 246, CLAUSE: 1\n\nT1302 is ground\nX8933 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1731 [label="1731: quot(T1302, s(0), s(s(s(s(s(0))))), X8933), SCOPE: 246, CLAUSE: 2 | quot(T1302, s(0), s(s(s(s(s(0))))), X8933), SCOPE: 246, CLAUSE: 3\n\nT1302 is ground\nX8933 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1732 [label="1732: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1733 [label="1733: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1734 [label="1734: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1735 [label="1735: quot(T1302, s(0), s(s(s(s(s(0))))), X8933), SCOPE: 246, CLAUSE: 2\n\nT1302 is ground\nX8933 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1736 [label="1736: quot(T1302, s(0), s(s(s(s(s(0))))), X8933), SCOPE: 246, CLAUSE: 3\n\nT1302 is ground\nX8933 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1737 [label="1737: quot(T1307, 0, s(s(s(s(s(0))))), X8972)\n\nT1307 is ground\nX8972 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1738 [label="1738: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1739 [label="1739: quot(T1307, 0, s(s(s(s(s(0))))), X8972), SCOPE: 247, CLAUSE: 1 | quot(T1307, 0, s(s(s(s(s(0))))), X8972), SCOPE: 247, CLAUSE: 2 | quot(T1307, 0, s(s(s(s(s(0))))), X8972), SCOPE: 247, CLAUSE: 3\n\nT1307 is ground\nX8972 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1740 [label="1740: quot(T1307, 0, s(s(s(s(s(0))))), X8972), SCOPE: 247, CLAUSE: 2 | quot(T1307, 0, s(s(s(s(s(0))))), X8972), SCOPE: 247, CLAUSE: 3\n\nT1307 is ground\nX8972 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1741 [label="1741: quot(T1307, 0, s(s(s(s(s(0))))), X8972), SCOPE: 247, CLAUSE: 3\n\nT1307 is ground\nX8972 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1742 [label="1742: quot(T1311, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X8998)\n\nT1311 is ground\nX8998 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1743 [label="1743: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1744 [label="1744: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1745 [label="1745: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1746 [label="1746: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1747 [label="1747: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1748 [label="N5: quot(T1319, s(s(s(s(0)))), s(s(s(s(0)))), X9029)\n\nT1319 is ground\nX9029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1749 [label="1749: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1750 [label="1750: quot(T1319, s(s(s(s(0)))), s(s(s(s(0)))), X9029), SCOPE: 248, CLAUSE: 1 | quot(T1319, s(s(s(s(0)))), s(s(s(s(0)))), X9029), SCOPE: 248, CLAUSE: 2 | quot(T1319, s(s(s(s(0)))), s(s(s(s(0)))), X9029), SCOPE: 248, CLAUSE: 3\n\nT1319 is ground\nX9029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1751 [label="1751: quot(T1319, s(s(s(s(0)))), s(s(s(s(0)))), X9029), SCOPE: 248, CLAUSE: 1\n\nT1319 is ground\nX9029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1752 [label="1752: quot(T1319, s(s(s(s(0)))), s(s(s(s(0)))), X9029), SCOPE: 248, CLAUSE: 2 | quot(T1319, s(s(s(s(0)))), s(s(s(s(0)))), X9029), SCOPE: 248, CLAUSE: 3\n\nT1319 is ground\nX9029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1753 [label="1753: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1754 [label="1754: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1755 [label="1755: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1756 [label="1756: quot(T1319, s(s(s(s(0)))), s(s(s(s(0)))), X9029), SCOPE: 248, CLAUSE: 2\n\nT1319 is ground\nX9029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1757 [label="1757: quot(T1319, s(s(s(s(0)))), s(s(s(s(0)))), X9029), SCOPE: 248, CLAUSE: 3\n\nT1319 is ground\nX9029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1758 [label="1758: quot(T1324, s(s(s(0))), s(s(s(s(0)))), X9068)\n\nT1324 is ground\nX9068 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1759 [label="1759: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1760 [label="1760: quot(T1324, s(s(s(0))), s(s(s(s(0)))), X9068), SCOPE: 249, CLAUSE: 1 | quot(T1324, s(s(s(0))), s(s(s(s(0)))), X9068), SCOPE: 249, CLAUSE: 2 | quot(T1324, s(s(s(0))), s(s(s(s(0)))), X9068), SCOPE: 249, CLAUSE: 3\n\nT1324 is ground\nX9068 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1761 [label="1761: quot(T1324, s(s(s(0))), s(s(s(s(0)))), X9068), SCOPE: 249, CLAUSE: 1\n\nT1324 is ground\nX9068 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1762 [label="1762: quot(T1324, s(s(s(0))), s(s(s(s(0)))), X9068), SCOPE: 249, CLAUSE: 2 | quot(T1324, s(s(s(0))), s(s(s(s(0)))), X9068), SCOPE: 249, CLAUSE: 3\n\nT1324 is ground\nX9068 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1763 [label="1763: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1764 [label="1764: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1765 [label="1765: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1766 [label="1766: quot(T1324, s(s(s(0))), s(s(s(s(0)))), X9068), SCOPE: 249, CLAUSE: 2\n\nT1324 is ground\nX9068 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1767 [label="1767: quot(T1324, s(s(s(0))), s(s(s(s(0)))), X9068), SCOPE: 249, CLAUSE: 3\n\nT1324 is ground\nX9068 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1768 [label="1768: quot(T1329, s(s(0)), s(s(s(s(0)))), X9107)\n\nT1329 is ground\nX9107 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1769 [label="1769: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1770 [label="1770: quot(T1329, s(s(0)), s(s(s(s(0)))), X9107), SCOPE: 250, CLAUSE: 1 | quot(T1329, s(s(0)), s(s(s(s(0)))), X9107), SCOPE: 250, CLAUSE: 2 | quot(T1329, s(s(0)), s(s(s(s(0)))), X9107), SCOPE: 250, CLAUSE: 3\n\nT1329 is ground\nX9107 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1771 [label="1771: quot(T1329, s(s(0)), s(s(s(s(0)))), X9107), SCOPE: 250, CLAUSE: 1\n\nT1329 is ground\nX9107 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1772 [label="1772: quot(T1329, s(s(0)), s(s(s(s(0)))), X9107), SCOPE: 250, CLAUSE: 2 | quot(T1329, s(s(0)), s(s(s(s(0)))), X9107), SCOPE: 250, CLAUSE: 3\n\nT1329 is ground\nX9107 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1773 [label="1773: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1774 [label="1774: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1775 [label="1775: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1776 [label="1776: quot(T1329, s(s(0)), s(s(s(s(0)))), X9107), SCOPE: 250, CLAUSE: 2\n\nT1329 is ground\nX9107 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1777 [label="1777: quot(T1329, s(s(0)), s(s(s(s(0)))), X9107), SCOPE: 250, CLAUSE: 3\n\nT1329 is ground\nX9107 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1778 [label="1778: quot(T1334, s(0), s(s(s(s(0)))), X9146)\n\nT1334 is ground\nX9146 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1779 [label="1779: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1780 [label="1780: quot(T1334, s(0), s(s(s(s(0)))), X9146), SCOPE: 251, CLAUSE: 1 | quot(T1334, s(0), s(s(s(s(0)))), X9146), SCOPE: 251, CLAUSE: 2 | quot(T1334, s(0), s(s(s(s(0)))), X9146), SCOPE: 251, CLAUSE: 3\n\nT1334 is ground\nX9146 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1781 [label="1781: quot(T1334, s(0), s(s(s(s(0)))), X9146), SCOPE: 251, CLAUSE: 1\n\nT1334 is ground\nX9146 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1782 [label="1782: quot(T1334, s(0), s(s(s(s(0)))), X9146), SCOPE: 251, CLAUSE: 2 | quot(T1334, s(0), s(s(s(s(0)))), X9146), SCOPE: 251, CLAUSE: 3\n\nT1334 is ground\nX9146 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1783 [label="1783: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1784 [label="1784: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1785 [label="1785: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1786 [label="1786: quot(T1334, s(0), s(s(s(s(0)))), X9146), SCOPE: 251, CLAUSE: 2\n\nT1334 is ground\nX9146 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1787 [label="1787: quot(T1334, s(0), s(s(s(s(0)))), X9146), SCOPE: 251, CLAUSE: 3\n\nT1334 is ground\nX9146 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1788 [label="1788: quot(T1339, 0, s(s(s(s(0)))), X9185)\n\nT1339 is ground\nX9185 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1789 [label="1789: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1790 [label="1790: quot(T1339, 0, s(s(s(s(0)))), X9185), SCOPE: 252, CLAUSE: 1 | quot(T1339, 0, s(s(s(s(0)))), X9185), SCOPE: 252, CLAUSE: 2 | quot(T1339, 0, s(s(s(s(0)))), X9185), SCOPE: 252, CLAUSE: 3\n\nT1339 is ground\nX9185 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1791 [label="1791: quot(T1339, 0, s(s(s(s(0)))), X9185), SCOPE: 252, CLAUSE: 2 | quot(T1339, 0, s(s(s(s(0)))), X9185), SCOPE: 252, CLAUSE: 3\n\nT1339 is ground\nX9185 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1792 [label="1792: quot(T1339, 0, s(s(s(s(0)))), X9185), SCOPE: 252, CLAUSE: 3\n\nT1339 is ground\nX9185 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1793 [label="1793: quot(T1343, s(s(s(s(0)))), s(s(s(s(0)))), X9211)\n\nT1343 is ground\nX9211 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1794 [label="1794: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1795 [label="1795: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1796 [label="1796: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1797 [label="1797: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1798 [label="N6: quot(T1350, s(s(s(0))), s(s(s(0))), X9239)\n\nT1350 is ground\nX9239 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1799 [label="1799: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1800 [label="1800: quot(T1350, s(s(s(0))), s(s(s(0))), X9239), SCOPE: 253, CLAUSE: 1 | quot(T1350, s(s(s(0))), s(s(s(0))), X9239), SCOPE: 253, CLAUSE: 2 | quot(T1350, s(s(s(0))), s(s(s(0))), X9239), SCOPE: 253, CLAUSE: 3\n\nT1350 is ground\nX9239 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1801 [label="1801: quot(T1350, s(s(s(0))), s(s(s(0))), X9239), SCOPE: 253, CLAUSE: 1\n\nT1350 is ground\nX9239 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1802 [label="1802: quot(T1350, s(s(s(0))), s(s(s(0))), X9239), SCOPE: 253, CLAUSE: 2 | quot(T1350, s(s(s(0))), s(s(s(0))), X9239), SCOPE: 253, CLAUSE: 3\n\nT1350 is ground\nX9239 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1803 [label="1803: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1804 [label="1804: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1805 [label="1805: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1806 [label="1806: quot(T1350, s(s(s(0))), s(s(s(0))), X9239), SCOPE: 253, CLAUSE: 2\n\nT1350 is ground\nX9239 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1807 [label="1807: quot(T1350, s(s(s(0))), s(s(s(0))), X9239), SCOPE: 253, CLAUSE: 3\n\nT1350 is ground\nX9239 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1808 [label="1808: quot(T1355, s(s(0)), s(s(s(0))), X9278)\n\nT1355 is ground\nX9278 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1809 [label="1809: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1810 [label="1810: quot(T1355, s(s(0)), s(s(s(0))), X9278), SCOPE: 254, CLAUSE: 1 | quot(T1355, s(s(0)), s(s(s(0))), X9278), SCOPE: 254, CLAUSE: 2 | quot(T1355, s(s(0)), s(s(s(0))), X9278), SCOPE: 254, CLAUSE: 3\n\nT1355 is ground\nX9278 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1811 [label="1811: quot(T1355, s(s(0)), s(s(s(0))), X9278), SCOPE: 254, CLAUSE: 1\n\nT1355 is ground\nX9278 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1812 [label="1812: quot(T1355, s(s(0)), s(s(s(0))), X9278), SCOPE: 254, CLAUSE: 2 | quot(T1355, s(s(0)), s(s(s(0))), X9278), SCOPE: 254, CLAUSE: 3\n\nT1355 is ground\nX9278 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1813 [label="1813: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1814 [label="1814: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1815 [label="1815: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1816 [label="1816: quot(T1355, s(s(0)), s(s(s(0))), X9278), SCOPE: 254, CLAUSE: 2\n\nT1355 is ground\nX9278 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1817 [label="1817: quot(T1355, s(s(0)), s(s(s(0))), X9278), SCOPE: 254, CLAUSE: 3\n\nT1355 is ground\nX9278 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1818 [label="1818: quot(T1360, s(0), s(s(s(0))), X9317)\n\nT1360 is ground\nX9317 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1819 [label="1819: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1820 [label="1820: quot(T1360, s(0), s(s(s(0))), X9317), SCOPE: 255, CLAUSE: 1 | quot(T1360, s(0), s(s(s(0))), X9317), SCOPE: 255, CLAUSE: 2 | quot(T1360, s(0), s(s(s(0))), X9317), SCOPE: 255, CLAUSE: 3\n\nT1360 is ground\nX9317 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1821 [label="1821: quot(T1360, s(0), s(s(s(0))), X9317), SCOPE: 255, CLAUSE: 1\n\nT1360 is ground\nX9317 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1822 [label="1822: quot(T1360, s(0), s(s(s(0))), X9317), SCOPE: 255, CLAUSE: 2 | quot(T1360, s(0), s(s(s(0))), X9317), SCOPE: 255, CLAUSE: 3\n\nT1360 is ground\nX9317 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1823 [label="1823: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1824 [label="1824: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1825 [label="1825: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1826 [label="1826: quot(T1360, s(0), s(s(s(0))), X9317), SCOPE: 255, CLAUSE: 2\n\nT1360 is ground\nX9317 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1827 [label="1827: quot(T1360, s(0), s(s(s(0))), X9317), SCOPE: 255, CLAUSE: 3\n\nT1360 is ground\nX9317 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1828 [label="1828: quot(T1365, 0, s(s(s(0))), X9356)\n\nT1365 is ground\nX9356 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1829 [label="1829: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1830 [label="1830: quot(T1365, 0, s(s(s(0))), X9356), SCOPE: 256, CLAUSE: 1 | quot(T1365, 0, s(s(s(0))), X9356), SCOPE: 256, CLAUSE: 2 | quot(T1365, 0, s(s(s(0))), X9356), SCOPE: 256, CLAUSE: 3\n\nT1365 is ground\nX9356 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1831 [label="1831: quot(T1365, 0, s(s(s(0))), X9356), SCOPE: 256, CLAUSE: 2 | quot(T1365, 0, s(s(s(0))), X9356), SCOPE: 256, CLAUSE: 3\n\nT1365 is ground\nX9356 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1832 [label="1832: quot(T1365, 0, s(s(s(0))), X9356), SCOPE: 256, CLAUSE: 3\n\nT1365 is ground\nX9356 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1833 [label="1833: quot(T1369, s(s(s(0))), s(s(s(0))), X9382)\n\nT1369 is ground\nX9382 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1834 [label="1834: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1835 [label="1835: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1836 [label="1836: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1837 [label="N7: quot(T1375, s(s(0)), s(s(0)), X9407)\n\nT1375 is ground\nX9407 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1838 [label="1838: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1839 [label="1839: quot(T1375, s(s(0)), s(s(0)), X9407), SCOPE: 257, CLAUSE: 1 | quot(T1375, s(s(0)), s(s(0)), X9407), SCOPE: 257, CLAUSE: 2 | quot(T1375, s(s(0)), s(s(0)), X9407), SCOPE: 257, CLAUSE: 3\n\nT1375 is ground\nX9407 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1840 [label="1840: quot(T1375, s(s(0)), s(s(0)), X9407), SCOPE: 257, CLAUSE: 1\n\nT1375 is ground\nX9407 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1841 [label="1841: quot(T1375, s(s(0)), s(s(0)), X9407), SCOPE: 257, CLAUSE: 2 | quot(T1375, s(s(0)), s(s(0)), X9407), SCOPE: 257, CLAUSE: 3\n\nT1375 is ground\nX9407 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1842 [label="1842: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1843 [label="1843: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1844 [label="1844: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1845 [label="1845: quot(T1375, s(s(0)), s(s(0)), X9407), SCOPE: 257, CLAUSE: 2\n\nT1375 is ground\nX9407 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1846 [label="1846: quot(T1375, s(s(0)), s(s(0)), X9407), SCOPE: 257, CLAUSE: 3\n\nT1375 is ground\nX9407 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1847 [label="1847: quot(T1380, s(0), s(s(0)), X9446)\n\nT1380 is ground\nX9446 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1848 [label="1848: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1849 [label="1849: quot(T1380, s(0), s(s(0)), X9446), SCOPE: 258, CLAUSE: 1 | quot(T1380, s(0), s(s(0)), X9446), SCOPE: 258, CLAUSE: 2 | quot(T1380, s(0), s(s(0)), X9446), SCOPE: 258, CLAUSE: 3\n\nT1380 is ground\nX9446 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1850 [label="1850: quot(T1380, s(0), s(s(0)), X9446), SCOPE: 258, CLAUSE: 1\n\nT1380 is ground\nX9446 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1851 [label="1851: quot(T1380, s(0), s(s(0)), X9446), SCOPE: 258, CLAUSE: 2 | quot(T1380, s(0), s(s(0)), X9446), SCOPE: 258, CLAUSE: 3\n\nT1380 is ground\nX9446 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1852 [label="1852: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1853 [label="1853: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1854 [label="1854: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1855 [label="1855: quot(T1380, s(0), s(s(0)), X9446), SCOPE: 258, CLAUSE: 2\n\nT1380 is ground\nX9446 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1856 [label="1856: quot(T1380, s(0), s(s(0)), X9446), SCOPE: 258, CLAUSE: 3\n\nT1380 is ground\nX9446 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1857 [label="1857: quot(T1385, 0, s(s(0)), X9485)\n\nT1385 is ground\nX9485 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1858 [label="1858: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1859 [label="1859: quot(T1385, 0, s(s(0)), X9485), SCOPE: 259, CLAUSE: 1 | quot(T1385, 0, s(s(0)), X9485), SCOPE: 259, CLAUSE: 2 | quot(T1385, 0, s(s(0)), X9485), SCOPE: 259, CLAUSE: 3\n\nT1385 is ground\nX9485 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1860 [label="1860: quot(T1385, 0, s(s(0)), X9485), SCOPE: 259, CLAUSE: 2 | quot(T1385, 0, s(s(0)), X9485), SCOPE: 259, CLAUSE: 3\n\nT1385 is ground\nX9485 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1861 [label="1861: quot(T1385, 0, s(s(0)), X9485), SCOPE: 259, CLAUSE: 3\n\nT1385 is ground\nX9485 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1862 [label="1862: quot(T1389, s(s(0)), s(s(0)), X9511)\n\nT1389 is ground\nX9511 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1863 [label="1863: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1864 [label="1864: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1865 [label="1865: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1866 [label="1866: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1867 [label="1867: times(T954, s(s(T950)), X7571)\n\nT950 is ground\nT954 is ground\nX7571 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1868 [label="1868: neq(s(T951), T1396)\n\nT951 is ground\nT1396 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1869 [label="1869: pr(s(T939), s(T937)), SCOPE: 260, CLAUSE: 5 | pr(s(T939), s(T937)), SCOPE: 260, CLAUSE: 6\n\nT937 is ground\nT939 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1870 [label="1870: pr(s(T939), s(T937)), SCOPE: 260, CLAUSE: 5\n\nT937 is ground\nT939 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1871 [label="1871: pr(s(T939), s(T937)), SCOPE: 260, CLAUSE: 6\n\nT937 is ground\nT939 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1872 [label="1872: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1873 [label="1873: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1874 [label="1874: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1875 [label="1875: ','(not_divides(s(s(T1413)), s(T1412)), pr(s(T1412), s(T1413)))\n\nT1412 is ground\nT1413 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1876 [label="1876: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1877 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1 -> 1877 [arrowhead = none ];
1877 -> 2;

1878 [label="EVAL with clause\nprime(s(s(X2))) :- pr(s(s(X2)), s(X2)).\nand substitutionX2 -> T3,\nT1 -> s(s(T3))", fontsize=14, style = filled, fillcolor = lightblue];
2 -> 1878 [arrowhead = none ];
1878 -> 3;

1879 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2 -> 1879 [arrowhead = none ];
1879 -> 4;

1880 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3 -> 1880 [arrowhead = none ];
1880 -> 5;

1881 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
5 -> 1881 [arrowhead = none ];
1881 -> 6;

1882 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
5 -> 1882 [arrowhead = none ];
1882 -> 7;

1883 [label="EVAL with clause\npr(X7, s(0)).\nand substitutionT3 -> 0,\nX7 -> s(s(0)),\nT8 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
6 -> 1883 [arrowhead = none ];
1883 -> 8;

1884 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
6 -> 1884 [arrowhead = none ];
1884 -> 9;

1885 [label="EVAL with clause\npr(X12, s(s(X13))) :- ','(not_divides(s(s(X13)), X12), pr(X12, s(X13))).\nand substitutionT3 -> s(T14),\nX12 -> s(s(s(T14))),\nX13 -> T14,\nT13 -> s(T14)", fontsize=14, style = filled, fillcolor = lightblue];
7 -> 1885 [arrowhead = none ];
1885 -> 11;

1886 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
7 -> 1886 [arrowhead = none ];
1886 -> 12;

1887 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
8 -> 1887 [arrowhead = none ];
1887 -> 10;

1888 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
11 -> 1888 [arrowhead = none ];
1888 -> 13;

1889 [label="SPLIT 2\nnew knowledge:\nT14 is ground", fontsize=14, style = filled, fillcolor = violet];
11 -> 1889 [arrowhead = none ];
1889 -> 14;

1890 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
13 -> 1890 [arrowhead = none ];
1890 -> 15;

1891 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
14 -> 1891 [arrowhead = none ];
1891 -> 251;

1892 [label="ONLY EVAL with clause\nnot_divides(X32, X33) :- ','(div(X33, X32, X34), ','(times(X34, X32, X35), neq(X33, X35))).\nand substitutionT14 -> T20,\nX32 -> s(s(T20)),\nX33 -> s(s(s(T20)))", fontsize=14, style = filled, fillcolor = lightblue];
15 -> 1892 [arrowhead = none ];
1892 -> 16;

1893 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
16 -> 1893 [arrowhead = none ];
1893 -> 17;

1894 [label="SPLIT 2\nnew knowledge:\nT20 is ground\nT22 is ground\nreplacements:X34 -> T22", fontsize=14, style = filled, fillcolor = violet];
16 -> 1894 [arrowhead = none ];
1894 -> 18;

1895 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
17 -> 1895 [arrowhead = none ];
1895 -> 19;

1896 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
18 -> 1896 [arrowhead = none ];
1896 -> 190;

1897 [label="SPLIT 2\nnew knowledge:\nT22 is ground\nT20 is ground\nT157 is ground\nreplacements:X35 -> T157", fontsize=14, style = filled, fillcolor = violet];
18 -> 1897 [arrowhead = none ];
1897 -> 191;

1898 [label="ONLY EVAL with clause\ndiv(X56, X57, X58) :- quot(X56, X57, X57, X58).\nand substitutionT20 -> T26,\nX56 -> s(s(s(T26))),\nX57 -> s(s(T26)),\nX34 -> X59,\nX58 -> X59", fontsize=14, style = filled, fillcolor = lightblue];
19 -> 1898 [arrowhead = none ];
1898 -> 20;

1899 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
20 -> 1899 [arrowhead = none ];
1899 -> 21;

1900 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
21 -> 1900 [arrowhead = none ];
1900 -> 22;

1901 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
22 -> 1901 [arrowhead = none ];
1901 -> 23;

1902 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
22 -> 1902 [arrowhead = none ];
1902 -> 24;

1903 [label="ONLY EVAL with clause\nquot(s(X94), s(X95), X96, X97) :- quot(X94, X95, X96, X97).\nand substitutionT26 -> T31,\nX94 -> s(s(T31)),\nX95 -> s(T31),\nX96 -> s(s(T31)),\nX59 -> X98,\nX97 -> X98", fontsize=14, style = filled, fillcolor = lightblue];
23 -> 1903 [arrowhead = none ];
1903 -> 25;

1904 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
24 -> 1904 [arrowhead = none ];
1904 -> 189;

1905 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
25 -> 1905 [arrowhead = none ];
1905 -> 26;

1906 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
26 -> 1906 [arrowhead = none ];
1906 -> 27;

1907 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
27 -> 1907 [arrowhead = none ];
1907 -> 28;

1908 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
27 -> 1908 [arrowhead = none ];
1908 -> 29;

1909 [label="ONLY EVAL with clause\nquot(s(X133), s(X134), X135, X136) :- quot(X133, X134, X135, X136).\nand substitutionT31 -> T36,\nX133 -> s(T36),\nX134 -> T36,\nX135 -> s(s(T36)),\nX98 -> X137,\nX136 -> X137", fontsize=14, style = filled, fillcolor = lightblue];
28 -> 1909 [arrowhead = none ];
1909 -> 30;

1910 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
29 -> 1910 [arrowhead = none ];
1910 -> 188;

1911 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
30 -> 1911 [arrowhead = none ];
1911 -> 31;

1912 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
31 -> 1912 [arrowhead = none ];
1912 -> 32;

1913 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
32 -> 1913 [arrowhead = none ];
1913 -> 33;

1914 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
32 -> 1914 [arrowhead = none ];
1914 -> 34;

1915 [label="EVAL with clause\nquot(s(X164), s(X165), X166, X167) :- quot(X164, X165, X166, X167).\nand substitutionT36 -> s(T46),\nX164 -> s(T46),\nX165 -> T46,\nT45 -> s(T46),\nX166 -> s(s(s(T46))),\nX137 -> X168,\nX167 -> X168", fontsize=14, style = filled, fillcolor = lightblue];
33 -> 1915 [arrowhead = none ];
1915 -> 35;

1916 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
33 -> 1916 [arrowhead = none ];
1916 -> 36;

1917 [label="EVAL with clause\nquot(X819, 0, s(X820), s(X821)) :- quot(X819, s(X820), s(X820), X821).\nand substitutionT36 -> 0,\nX819 -> s(0),\nT152 -> 0,\nX820 -> s(0),\nX821 -> X822,\nX137 -> s(X822)", fontsize=14, style = filled, fillcolor = lightblue];
34 -> 1917 [arrowhead = none ];
1917 -> 173;

1918 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
34 -> 1918 [arrowhead = none ];
1918 -> 174;

1919 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
35 -> 1919 [arrowhead = none ];
1919 -> 37;

1920 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
37 -> 1920 [arrowhead = none ];
1920 -> 38;

1921 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
38 -> 1921 [arrowhead = none ];
1921 -> 39;

1922 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
38 -> 1922 [arrowhead = none ];
1922 -> 40;

1923 [label="EVAL with clause\nquot(s(X195), s(X196), X197, X198) :- quot(X195, X196, X197, X198).\nand substitutionT46 -> s(T56),\nX195 -> s(T56),\nX196 -> T56,\nT55 -> s(T56),\nX197 -> s(s(s(s(T56)))),\nX168 -> X199,\nX198 -> X199", fontsize=14, style = filled, fillcolor = lightblue];
39 -> 1923 [arrowhead = none ];
1923 -> 41;

1924 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
39 -> 1924 [arrowhead = none ];
1924 -> 42;

1925 [label="EVAL with clause\nquot(X750, 0, s(X751), s(X752)) :- quot(X750, s(X751), s(X751), X752).\nand substitutionT46 -> 0,\nX750 -> s(0),\nT149 -> 0,\nX751 -> s(s(0)),\nX752 -> X753,\nX168 -> s(X753)", fontsize=14, style = filled, fillcolor = lightblue];
40 -> 1925 [arrowhead = none ];
1925 -> 158;

1926 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
40 -> 1926 [arrowhead = none ];
1926 -> 159;

1927 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
41 -> 1927 [arrowhead = none ];
1927 -> 43;

1928 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
43 -> 1928 [arrowhead = none ];
1928 -> 44;

1929 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
44 -> 1929 [arrowhead = none ];
1929 -> 45;

1930 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
44 -> 1930 [arrowhead = none ];
1930 -> 46;

1931 [label="EVAL with clause\nquot(s(X226), s(X227), X228, X229) :- quot(X226, X227, X228, X229).\nand substitutionT56 -> s(T66),\nX226 -> s(T66),\nX227 -> T66,\nT65 -> s(T66),\nX228 -> s(s(s(s(s(T66))))),\nX199 -> X230,\nX229 -> X230", fontsize=14, style = filled, fillcolor = lightblue];
45 -> 1931 [arrowhead = none ];
1931 -> 47;

1932 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
45 -> 1932 [arrowhead = none ];
1932 -> 48;

1933 [label="EVAL with clause\nquot(X681, 0, s(X682), s(X683)) :- quot(X681, s(X682), s(X682), X683).\nand substitutionT56 -> 0,\nX681 -> s(0),\nT146 -> 0,\nX682 -> s(s(s(0))),\nX683 -> X684,\nX199 -> s(X684)", fontsize=14, style = filled, fillcolor = lightblue];
46 -> 1933 [arrowhead = none ];
1933 -> 143;

1934 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
46 -> 1934 [arrowhead = none ];
1934 -> 144;

1935 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
47 -> 1935 [arrowhead = none ];
1935 -> 49;

1936 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
49 -> 1936 [arrowhead = none ];
1936 -> 50;

1937 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
50 -> 1937 [arrowhead = none ];
1937 -> 51;

1938 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
50 -> 1938 [arrowhead = none ];
1938 -> 52;

1939 [label="EVAL with clause\nquot(s(X257), s(X258), X259, X260) :- quot(X257, X258, X259, X260).\nand substitutionT66 -> s(T76),\nX257 -> s(T76),\nX258 -> T76,\nT75 -> s(T76),\nX259 -> s(s(s(s(s(s(T76)))))),\nX230 -> X261,\nX260 -> X261", fontsize=14, style = filled, fillcolor = lightblue];
51 -> 1939 [arrowhead = none ];
1939 -> 53;

1940 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
51 -> 1940 [arrowhead = none ];
1940 -> 54;

1941 [label="EVAL with clause\nquot(X612, 0, s(X613), s(X614)) :- quot(X612, s(X613), s(X613), X614).\nand substitutionT66 -> 0,\nX612 -> s(0),\nT143 -> 0,\nX613 -> s(s(s(s(0)))),\nX614 -> X615,\nX230 -> s(X615)", fontsize=14, style = filled, fillcolor = lightblue];
52 -> 1941 [arrowhead = none ];
1941 -> 128;

1942 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
52 -> 1942 [arrowhead = none ];
1942 -> 129;

1943 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
53 -> 1943 [arrowhead = none ];
1943 -> 55;

1944 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
55 -> 1944 [arrowhead = none ];
1944 -> 56;

1945 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
56 -> 1945 [arrowhead = none ];
1945 -> 57;

1946 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
56 -> 1946 [arrowhead = none ];
1946 -> 58;

1947 [label="EVAL with clause\nquot(s(X288), s(X289), X290, X291) :- quot(X288, X289, X290, X291).\nand substitutionT76 -> s(T86),\nX288 -> s(T86),\nX289 -> T86,\nT85 -> s(T86),\nX290 -> s(s(s(s(s(s(s(T86))))))),\nX261 -> X292,\nX291 -> X292", fontsize=14, style = filled, fillcolor = lightblue];
57 -> 1947 [arrowhead = none ];
1947 -> 59;

1948 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
57 -> 1948 [arrowhead = none ];
1948 -> 60;

1949 [label="EVAL with clause\nquot(X543, 0, s(X544), s(X545)) :- quot(X543, s(X544), s(X544), X545).\nand substitutionT76 -> 0,\nX543 -> s(0),\nT140 -> 0,\nX544 -> s(s(s(s(s(0))))),\nX545 -> X546,\nX261 -> s(X546)", fontsize=14, style = filled, fillcolor = lightblue];
58 -> 1949 [arrowhead = none ];
1949 -> 113;

1950 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
58 -> 1950 [arrowhead = none ];
1950 -> 114;

1951 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
59 -> 1951 [arrowhead = none ];
1951 -> 61;

1952 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
61 -> 1952 [arrowhead = none ];
1952 -> 62;

1953 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
62 -> 1953 [arrowhead = none ];
1953 -> 63;

1954 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
62 -> 1954 [arrowhead = none ];
1954 -> 64;

1955 [label="EVAL with clause\nquot(s(X319), s(X320), X321, X322) :- quot(X319, X320, X321, X322).\nand substitutionT86 -> s(T96),\nX319 -> s(T96),\nX320 -> T96,\nT95 -> s(T96),\nX321 -> s(s(s(s(s(s(s(s(T96)))))))),\nX292 -> X323,\nX322 -> X323", fontsize=14, style = filled, fillcolor = lightblue];
63 -> 1955 [arrowhead = none ];
1955 -> 65;

1956 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
63 -> 1956 [arrowhead = none ];
1956 -> 66;

1957 [label="EVAL with clause\nquot(X474, 0, s(X475), s(X476)) :- quot(X474, s(X475), s(X475), X476).\nand substitutionT86 -> 0,\nX474 -> s(0),\nT137 -> 0,\nX475 -> s(s(s(s(s(s(0)))))),\nX476 -> X477,\nX292 -> s(X477)", fontsize=14, style = filled, fillcolor = lightblue];
64 -> 1957 [arrowhead = none ];
1957 -> 98;

1958 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
64 -> 1958 [arrowhead = none ];
1958 -> 99;

1959 [label="GENERALIZATION\nT97 <-- s(s(s(s(s(s(s(T96)))))))\n\nNew Knowledge:\nT97 is ground", fontsize=14, style = filled, fillcolor = violet];
65 -> 1959 [arrowhead = none ];
1959 -> 67;

1960 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
67 -> 1960 [arrowhead = none ];
1960 -> 68;

1961 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
68 -> 1961 [arrowhead = none ];
1961 -> 69;

1962 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
69 -> 1962 [arrowhead = none ];
1962 -> 70;

1963 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
69 -> 1963 [arrowhead = none ];
1963 -> 71;

1964 [label="EVAL with clause\nquot(s(X354), s(X355), X356, X357) :- quot(X354, X355, X356, X357).\nand substitutionT96 -> s(T111),\nX354 -> s(T111),\nX355 -> T111,\nT110 -> s(T111),\nT97 -> T112,\nX356 -> s(T112),\nX323 -> X358,\nX357 -> X358", fontsize=14, style = filled, fillcolor = lightblue];
70 -> 1964 [arrowhead = none ];
1964 -> 72;

1965 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
70 -> 1965 [arrowhead = none ];
1965 -> 73;

1966 [label="EVAL with clause\nquot(X371, 0, s(X372), s(X373)) :- quot(X371, s(X372), s(X372), X373).\nand substitutionT96 -> 0,\nX371 -> s(0),\nT117 -> 0,\nT97 -> T118,\nX372 -> T118,\nX373 -> X374,\nX323 -> s(X374)", fontsize=14, style = filled, fillcolor = lightblue];
71 -> 1966 [arrowhead = none ];
1966 -> 74;

1967 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
71 -> 1967 [arrowhead = none ];
1967 -> 75;

1968 [label="INSTANCE with matching:\nT96 -> T111\nT97 -> T112\nX323 -> X358", fontsize=14, style = filled, fillcolor = lightgrey];
72 -> 1968 [arrowhead = none , style=dashed];
1968 -> 67[style=dashed];

1969 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
74 -> 1969 [arrowhead = none ];
1969 -> 76;

1970 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
76 -> 1970 [arrowhead = none ];
1970 -> 77;

1971 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
77 -> 1971 [arrowhead = none ];
1971 -> 78;

1972 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
77 -> 1972 [arrowhead = none ];
1972 -> 79;

1973 [label="ONLY EVAL with clause\nquot(s(X409), s(X410), X411, X412) :- quot(X409, X410, X411, X412).\nand substitutionX409 -> 0,\nT118 -> T127,\nX410 -> T127,\nX411 -> s(T127),\nX374 -> X413,\nX412 -> X413", fontsize=14, style = filled, fillcolor = lightblue];
78 -> 1973 [arrowhead = none ];
1973 -> 80;

1974 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
79 -> 1974 [arrowhead = none ];
1974 -> 97;

1975 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
80 -> 1975 [arrowhead = none ];
1975 -> 81;

1976 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
81 -> 1976 [arrowhead = none ];
1976 -> 82;

1977 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
81 -> 1977 [arrowhead = none ];
1977 -> 83;

1978 [label="EVAL with clause\nquot(0, s(X426), s(X427), 0).\nand substitutionX426 -> T134,\nT127 -> s(T134),\nX427 -> s(T134),\nX413 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
82 -> 1978 [arrowhead = none ];
1978 -> 84;

1979 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
82 -> 1979 [arrowhead = none ];
1979 -> 85;

1980 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
83 -> 1980 [arrowhead = none ];
1980 -> 87;

1981 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
84 -> 1981 [arrowhead = none ];
1981 -> 86;

1982 [label="EVAL with clause\nquot(X440, 0, s(X441), s(X442)) :- quot(X440, s(X441), s(X441), X442).\nand substitutionX440 -> 0,\nT127 -> 0,\nX441 -> 0,\nX442 -> X443,\nX413 -> s(X443)", fontsize=14, style = filled, fillcolor = lightblue];
87 -> 1982 [arrowhead = none ];
1982 -> 88;

1983 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
87 -> 1983 [arrowhead = none ];
1983 -> 89;

1984 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
88 -> 1984 [arrowhead = none ];
1984 -> 90;

1985 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
90 -> 1985 [arrowhead = none ];
1985 -> 91;

1986 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
90 -> 1986 [arrowhead = none ];
1986 -> 92;

1987 [label="ONLY EVAL with clause\nquot(0, s(X454), s(X455), 0).\nand substitutionX454 -> 0,\nX455 -> 0,\nX443 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
91 -> 1987 [arrowhead = none ];
1987 -> 93;

1988 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
92 -> 1988 [arrowhead = none ];
1988 -> 95;

1989 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
93 -> 1989 [arrowhead = none ];
1989 -> 94;

1990 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
95 -> 1990 [arrowhead = none ];
1990 -> 96;

1991 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
98 -> 1991 [arrowhead = none ];
1991 -> 100;

1992 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
100 -> 1992 [arrowhead = none ];
1992 -> 101;

1993 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
101 -> 1993 [arrowhead = none ];
1993 -> 102;

1994 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
101 -> 1994 [arrowhead = none ];
1994 -> 103;

1995 [label="ONLY EVAL with clause\nquot(s(X508), s(X509), X510, X511) :- quot(X508, X509, X510, X511).\nand substitutionX508 -> 0,\nX509 -> s(s(s(s(s(s(0)))))),\nX510 -> s(s(s(s(s(s(s(0))))))),\nX477 -> X512,\nX511 -> X512", fontsize=14, style = filled, fillcolor = lightblue];
102 -> 1995 [arrowhead = none ];
1995 -> 104;

1996 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
103 -> 1996 [arrowhead = none ];
1996 -> 112;

1997 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
104 -> 1997 [arrowhead = none ];
1997 -> 105;

1998 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
105 -> 1998 [arrowhead = none ];
1998 -> 106;

1999 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
105 -> 1999 [arrowhead = none ];
1999 -> 107;

2000 [label="ONLY EVAL with clause\nquot(0, s(X523), s(X524), 0).\nand substitutionX523 -> s(s(s(s(s(0))))),\nX524 -> s(s(s(s(s(s(0)))))),\nX512 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
106 -> 2000 [arrowhead = none ];
2000 -> 108;

2001 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
107 -> 2001 [arrowhead = none ];
2001 -> 110;

2002 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
108 -> 2002 [arrowhead = none ];
2002 -> 109;

2003 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
110 -> 2003 [arrowhead = none ];
2003 -> 111;

2004 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
113 -> 2004 [arrowhead = none ];
2004 -> 115;

2005 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
115 -> 2005 [arrowhead = none ];
2005 -> 116;

2006 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
116 -> 2006 [arrowhead = none ];
2006 -> 117;

2007 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
116 -> 2007 [arrowhead = none ];
2007 -> 118;

2008 [label="ONLY EVAL with clause\nquot(s(X577), s(X578), X579, X580) :- quot(X577, X578, X579, X580).\nand substitutionX577 -> 0,\nX578 -> s(s(s(s(s(0))))),\nX579 -> s(s(s(s(s(s(0)))))),\nX546 -> X581,\nX580 -> X581", fontsize=14, style = filled, fillcolor = lightblue];
117 -> 2008 [arrowhead = none ];
2008 -> 119;

2009 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
118 -> 2009 [arrowhead = none ];
2009 -> 127;

2010 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
119 -> 2010 [arrowhead = none ];
2010 -> 120;

2011 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
120 -> 2011 [arrowhead = none ];
2011 -> 121;

2012 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
120 -> 2012 [arrowhead = none ];
2012 -> 122;

2013 [label="ONLY EVAL with clause\nquot(0, s(X592), s(X593), 0).\nand substitutionX592 -> s(s(s(s(0)))),\nX593 -> s(s(s(s(s(0))))),\nX581 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
121 -> 2013 [arrowhead = none ];
2013 -> 123;

2014 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
122 -> 2014 [arrowhead = none ];
2014 -> 125;

2015 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
123 -> 2015 [arrowhead = none ];
2015 -> 124;

2016 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
125 -> 2016 [arrowhead = none ];
2016 -> 126;

2017 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
128 -> 2017 [arrowhead = none ];
2017 -> 130;

2018 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
130 -> 2018 [arrowhead = none ];
2018 -> 131;

2019 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
131 -> 2019 [arrowhead = none ];
2019 -> 132;

2020 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
131 -> 2020 [arrowhead = none ];
2020 -> 133;

2021 [label="ONLY EVAL with clause\nquot(s(X646), s(X647), X648, X649) :- quot(X646, X647, X648, X649).\nand substitutionX646 -> 0,\nX647 -> s(s(s(s(0)))),\nX648 -> s(s(s(s(s(0))))),\nX615 -> X650,\nX649 -> X650", fontsize=14, style = filled, fillcolor = lightblue];
132 -> 2021 [arrowhead = none ];
2021 -> 134;

2022 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
133 -> 2022 [arrowhead = none ];
2022 -> 142;

2023 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
134 -> 2023 [arrowhead = none ];
2023 -> 135;

2024 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
135 -> 2024 [arrowhead = none ];
2024 -> 136;

2025 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
135 -> 2025 [arrowhead = none ];
2025 -> 137;

2026 [label="ONLY EVAL with clause\nquot(0, s(X661), s(X662), 0).\nand substitutionX661 -> s(s(s(0))),\nX662 -> s(s(s(s(0)))),\nX650 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
136 -> 2026 [arrowhead = none ];
2026 -> 138;

2027 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
137 -> 2027 [arrowhead = none ];
2027 -> 140;

2028 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
138 -> 2028 [arrowhead = none ];
2028 -> 139;

2029 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
140 -> 2029 [arrowhead = none ];
2029 -> 141;

2030 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
143 -> 2030 [arrowhead = none ];
2030 -> 145;

2031 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
145 -> 2031 [arrowhead = none ];
2031 -> 146;

2032 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
146 -> 2032 [arrowhead = none ];
2032 -> 147;

2033 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
146 -> 2033 [arrowhead = none ];
2033 -> 148;

2034 [label="ONLY EVAL with clause\nquot(s(X715), s(X716), X717, X718) :- quot(X715, X716, X717, X718).\nand substitutionX715 -> 0,\nX716 -> s(s(s(0))),\nX717 -> s(s(s(s(0)))),\nX684 -> X719,\nX718 -> X719", fontsize=14, style = filled, fillcolor = lightblue];
147 -> 2034 [arrowhead = none ];
2034 -> 149;

2035 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
148 -> 2035 [arrowhead = none ];
2035 -> 157;

2036 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
149 -> 2036 [arrowhead = none ];
2036 -> 150;

2037 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
150 -> 2037 [arrowhead = none ];
2037 -> 151;

2038 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
150 -> 2038 [arrowhead = none ];
2038 -> 152;

2039 [label="ONLY EVAL with clause\nquot(0, s(X730), s(X731), 0).\nand substitutionX730 -> s(s(0)),\nX731 -> s(s(s(0))),\nX719 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
151 -> 2039 [arrowhead = none ];
2039 -> 153;

2040 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
152 -> 2040 [arrowhead = none ];
2040 -> 155;

2041 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
153 -> 2041 [arrowhead = none ];
2041 -> 154;

2042 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
155 -> 2042 [arrowhead = none ];
2042 -> 156;

2043 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
158 -> 2043 [arrowhead = none ];
2043 -> 160;

2044 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
160 -> 2044 [arrowhead = none ];
2044 -> 161;

2045 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
161 -> 2045 [arrowhead = none ];
2045 -> 162;

2046 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
161 -> 2046 [arrowhead = none ];
2046 -> 163;

2047 [label="ONLY EVAL with clause\nquot(s(X784), s(X785), X786, X787) :- quot(X784, X785, X786, X787).\nand substitutionX784 -> 0,\nX785 -> s(s(0)),\nX786 -> s(s(s(0))),\nX753 -> X788,\nX787 -> X788", fontsize=14, style = filled, fillcolor = lightblue];
162 -> 2047 [arrowhead = none ];
2047 -> 164;

2048 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
163 -> 2048 [arrowhead = none ];
2048 -> 172;

2049 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
164 -> 2049 [arrowhead = none ];
2049 -> 165;

2050 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
165 -> 2050 [arrowhead = none ];
2050 -> 166;

2051 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
165 -> 2051 [arrowhead = none ];
2051 -> 167;

2052 [label="ONLY EVAL with clause\nquot(0, s(X799), s(X800), 0).\nand substitutionX799 -> s(0),\nX800 -> s(s(0)),\nX788 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
166 -> 2052 [arrowhead = none ];
2052 -> 168;

2053 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
167 -> 2053 [arrowhead = none ];
2053 -> 170;

2054 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
168 -> 2054 [arrowhead = none ];
2054 -> 169;

2055 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
170 -> 2055 [arrowhead = none ];
2055 -> 171;

2056 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
173 -> 2056 [arrowhead = none ];
2056 -> 175;

2057 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
175 -> 2057 [arrowhead = none ];
2057 -> 176;

2058 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
176 -> 2058 [arrowhead = none ];
2058 -> 177;

2059 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
176 -> 2059 [arrowhead = none ];
2059 -> 178;

2060 [label="ONLY EVAL with clause\nquot(s(X853), s(X854), X855, X856) :- quot(X853, X854, X855, X856).\nand substitutionX853 -> 0,\nX854 -> s(0),\nX855 -> s(s(0)),\nX822 -> X857,\nX856 -> X857", fontsize=14, style = filled, fillcolor = lightblue];
177 -> 2060 [arrowhead = none ];
2060 -> 179;

2061 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
178 -> 2061 [arrowhead = none ];
2061 -> 187;

2062 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
179 -> 2062 [arrowhead = none ];
2062 -> 180;

2063 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
180 -> 2063 [arrowhead = none ];
2063 -> 181;

2064 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
180 -> 2064 [arrowhead = none ];
2064 -> 182;

2065 [label="ONLY EVAL with clause\nquot(0, s(X868), s(X869), 0).\nand substitutionX868 -> 0,\nX869 -> s(0),\nX857 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
181 -> 2065 [arrowhead = none ];
2065 -> 183;

2066 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
182 -> 2066 [arrowhead = none ];
2066 -> 185;

2067 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
183 -> 2067 [arrowhead = none ];
2067 -> 184;

2068 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
185 -> 2068 [arrowhead = none ];
2068 -> 186;

2069 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
190 -> 2069 [arrowhead = none ];
2069 -> 192;

2070 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
191 -> 2070 [arrowhead = none ];
2070 -> 211;

2071 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
192 -> 2071 [arrowhead = none ];
2071 -> 193;

2072 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
192 -> 2072 [arrowhead = none ];
2072 -> 194;

2073 [label="EVAL with clause\ntimes(0, X894, 0).\nand substitutionT22 -> 0,\nT20 -> T164,\nX894 -> s(s(T164)),\nX35 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
193 -> 2073 [arrowhead = none ];
2073 -> 195;

2074 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
193 -> 2074 [arrowhead = none ];
2074 -> 196;

2075 [label="EVAL with clause\ntimes(s(X904), X905, X906) :- ','(times(X904, X905, X907), add(X907, X905, X906)).\nand substitutionX904 -> T169,\nT22 -> s(T169),\nT20 -> T170,\nX905 -> s(s(T170)),\nX35 -> X908,\nX906 -> X908", fontsize=14, style = filled, fillcolor = lightblue];
194 -> 2075 [arrowhead = none ];
2075 -> 198;

2076 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
194 -> 2076 [arrowhead = none ];
2076 -> 199;

2077 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
195 -> 2077 [arrowhead = none ];
2077 -> 197;

2078 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
198 -> 2078 [arrowhead = none ];
2078 -> 200;

2079 [label="SPLIT 2\nnew knowledge:\nT169 is ground\nT170 is ground\nT173 is ground\nreplacements:X907 -> T173", fontsize=14, style = filled, fillcolor = violet];
198 -> 2079 [arrowhead = none ];
2079 -> 201;

2080 [label="INSTANCE with matching:\nT22 -> T169\nT20 -> T170\nX35 -> X907", fontsize=14, style = filled, fillcolor = lightgrey];
200 -> 2080 [arrowhead = none , style=dashed];
2080 -> 190[style=dashed];

2081 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
201 -> 2081 [arrowhead = none ];
2081 -> 202;

2082 [label="BACKTRACK\nfor clause: add(X, 0, X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
202 -> 2082 [arrowhead = none ];
2082 -> 203;

2083 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
203 -> 2083 [arrowhead = none ];
2083 -> 204;

2084 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
203 -> 2084 [arrowhead = none ];
2084 -> 205;

2085 [label="EVAL with clause\nadd(0, X920, X920).\nand substitutionT173 -> 0,\nT170 -> T183,\nX920 -> s(s(T183)),\nX908 -> s(s(T183))", fontsize=14, style = filled, fillcolor = lightblue];
204 -> 2085 [arrowhead = none ];
2085 -> 206;

2086 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
204 -> 2086 [arrowhead = none ];
2086 -> 207;

2087 [label="EVAL with clause\nadd(s(X929), X930, s(X931)) :- add(X929, X930, X931).\nand substitutionX929 -> T188,\nT173 -> s(T188),\nT170 -> T189,\nX930 -> s(s(T189)),\nX931 -> X932,\nX908 -> s(X932)", fontsize=14, style = filled, fillcolor = lightblue];
205 -> 2087 [arrowhead = none ];
2087 -> 209;

2088 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
205 -> 2088 [arrowhead = none ];
2088 -> 210;

2089 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
206 -> 2089 [arrowhead = none ];
2089 -> 208;

2090 [label="INSTANCE with matching:\nT173 -> T188\nT170 -> T189\nX908 -> X932", fontsize=14, style = filled, fillcolor = lightgrey];
209 -> 2090 [arrowhead = none , style=dashed];
2090 -> 201[style=dashed];

2091 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
211 -> 2091 [arrowhead = none ];
2091 -> 212;

2092 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
211 -> 2092 [arrowhead = none ];
2092 -> 213;

2093 [label="EVAL with clause\nneq(s(X941), 0).\nand substitutionT20 -> T198,\nX941 -> s(s(T198)),\nT157 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
212 -> 2093 [arrowhead = none ];
2093 -> 214;

2094 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
212 -> 2094 [arrowhead = none ];
2094 -> 215;

2095 [label="BACKTRACK\nfor clause: neq(0, s(X))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
213 -> 2095 [arrowhead = none ];
2095 -> 217;

2096 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
214 -> 2096 [arrowhead = none ];
2096 -> 216;

2097 [label="EVAL with clause\nneq(s(X947), s(X948)) :- neq(X947, X948).\nand substitutionT20 -> T203,\nX947 -> s(s(T203)),\nX948 -> T204,\nT157 -> s(T204)", fontsize=14, style = filled, fillcolor = lightblue];
217 -> 2097 [arrowhead = none ];
2097 -> 218;

2098 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
217 -> 2098 [arrowhead = none ];
2098 -> 219;

2099 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
218 -> 2099 [arrowhead = none ];
2099 -> 220;

2100 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
220 -> 2100 [arrowhead = none ];
2100 -> 221;

2101 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
220 -> 2101 [arrowhead = none ];
2101 -> 222;

2102 [label="EVAL with clause\nneq(s(X955), 0).\nand substitutionT203 -> T211,\nX955 -> s(T211),\nT204 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
221 -> 2102 [arrowhead = none ];
2102 -> 223;

2103 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
221 -> 2103 [arrowhead = none ];
2103 -> 224;

2104 [label="BACKTRACK\nfor clause: neq(0, s(X))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
222 -> 2104 [arrowhead = none ];
2104 -> 226;

2105 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
223 -> 2105 [arrowhead = none ];
2105 -> 225;

2106 [label="EVAL with clause\nneq(s(X961), s(X962)) :- neq(X961, X962).\nand substitutionT203 -> T216,\nX961 -> s(T216),\nX962 -> T217,\nT204 -> s(T217)", fontsize=14, style = filled, fillcolor = lightblue];
226 -> 2106 [arrowhead = none ];
2106 -> 227;

2107 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
226 -> 2107 [arrowhead = none ];
2107 -> 228;

2108 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
227 -> 2108 [arrowhead = none ];
2108 -> 229;

2109 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
229 -> 2109 [arrowhead = none ];
2109 -> 230;

2110 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
229 -> 2110 [arrowhead = none ];
2110 -> 231;

2111 [label="EVAL with clause\nneq(s(X969), 0).\nand substitutionT216 -> T224,\nX969 -> T224,\nT217 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
230 -> 2111 [arrowhead = none ];
2111 -> 232;

2112 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
230 -> 2112 [arrowhead = none ];
2112 -> 233;

2113 [label="BACKTRACK\nfor clause: neq(0, s(X))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
231 -> 2113 [arrowhead = none ];
2113 -> 235;

2114 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
232 -> 2114 [arrowhead = none ];
2114 -> 234;

2115 [label="EVAL with clause\nneq(s(X975), s(X976)) :- neq(X975, X976).\nand substitutionT216 -> T229,\nX975 -> T229,\nX976 -> T230,\nT217 -> s(T230)", fontsize=14, style = filled, fillcolor = lightblue];
235 -> 2115 [arrowhead = none ];
2115 -> 236;

2116 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
235 -> 2116 [arrowhead = none ];
2116 -> 237;

2117 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
236 -> 2117 [arrowhead = none ];
2117 -> 238;

2118 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
238 -> 2118 [arrowhead = none ];
2118 -> 239;

2119 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
238 -> 2119 [arrowhead = none ];
2119 -> 240;

2120 [label="EVAL with clause\nneq(s(X983), 0).\nand substitutionX983 -> T237,\nT229 -> s(T237),\nT230 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
239 -> 2120 [arrowhead = none ];
2120 -> 241;

2121 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
239 -> 2121 [arrowhead = none ];
2121 -> 242;

2122 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
240 -> 2122 [arrowhead = none ];
2122 -> 244;

2123 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
240 -> 2123 [arrowhead = none ];
2123 -> 245;

2124 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
241 -> 2124 [arrowhead = none ];
2124 -> 243;

2125 [label="EVAL with clause\nneq(0, s(X988)).\nand substitutionT229 -> 0,\nX988 -> T242,\nT230 -> s(T242)", fontsize=14, style = filled, fillcolor = lightblue];
244 -> 2125 [arrowhead = none ];
2125 -> 246;

2126 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
244 -> 2126 [arrowhead = none ];
2126 -> 247;

2127 [label="EVAL with clause\nneq(s(X993), s(X994)) :- neq(X993, X994).\nand substitutionX993 -> T247,\nT229 -> s(T247),\nX994 -> T248,\nT230 -> s(T248)", fontsize=14, style = filled, fillcolor = lightblue];
245 -> 2127 [arrowhead = none ];
2127 -> 249;

2128 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
245 -> 2128 [arrowhead = none ];
2128 -> 250;

2129 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
246 -> 2129 [arrowhead = none ];
2129 -> 248;

2130 [label="INSTANCE with matching:\nT229 -> T247\nT230 -> T248", fontsize=14, style = filled, fillcolor = lightgrey];
249 -> 2130 [arrowhead = none , style=dashed];
2130 -> 236[style=dashed];

2131 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
251 -> 2131 [arrowhead = none ];
2131 -> 252;

2132 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
251 -> 2132 [arrowhead = none ];
2132 -> 253;

2133 [label="EVAL with clause\npr(X1003, s(0)).\nand substitutionT14 -> 0,\nX1003 -> s(s(s(0))),\nT257 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
252 -> 2133 [arrowhead = none ];
2133 -> 254;

2134 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
252 -> 2134 [arrowhead = none ];
2134 -> 255;

2135 [label="EVAL with clause\npr(X1008, s(s(X1009))) :- ','(not_divides(s(s(X1009)), X1008), pr(X1008, s(X1009))).\nand substitutionT14 -> s(T263),\nX1008 -> s(s(s(s(T263)))),\nX1009 -> T263,\nT262 -> s(T263)", fontsize=14, style = filled, fillcolor = lightblue];
253 -> 2135 [arrowhead = none ];
2135 -> 257;

2136 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
253 -> 2136 [arrowhead = none ];
2136 -> 258;

2137 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
254 -> 2137 [arrowhead = none ];
2137 -> 256;

2138 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
257 -> 2138 [arrowhead = none ];
2138 -> 259;

2139 [label="SPLIT 2\nnew knowledge:\nT263 is ground", fontsize=14, style = filled, fillcolor = violet];
257 -> 2139 [arrowhead = none ];
2139 -> 260;

2140 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
259 -> 2140 [arrowhead = none ];
2140 -> 261;

2141 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
260 -> 2141 [arrowhead = none ];
2141 -> 489;

2142 [label="ONLY EVAL with clause\nnot_divides(X1028, X1029) :- ','(div(X1029, X1028, X1030), ','(times(X1030, X1028, X1031), neq(X1029, X1031))).\nand substitutionT263 -> T269,\nX1028 -> s(s(T269)),\nX1029 -> s(s(s(s(T269))))", fontsize=14, style = filled, fillcolor = lightblue];
261 -> 2142 [arrowhead = none ];
2142 -> 262;

2143 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
262 -> 2143 [arrowhead = none ];
2143 -> 263;

2144 [label="SPLIT 2\nnew knowledge:\nT269 is ground\nT271 is ground\nreplacements:X1030 -> T271", fontsize=14, style = filled, fillcolor = violet];
262 -> 2144 [arrowhead = none ];
2144 -> 264;

2145 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
263 -> 2145 [arrowhead = none ];
2145 -> 265;

2146 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
264 -> 2146 [arrowhead = none ];
2146 -> 487;

2147 [label="SPLIT 2\nnew knowledge:\nT271 is ground\nT269 is ground\nT407 is ground\nreplacements:X1031 -> T407", fontsize=14, style = filled, fillcolor = violet];
264 -> 2147 [arrowhead = none ];
2147 -> 488;

2148 [label="ONLY EVAL with clause\ndiv(X1052, X1053, X1054) :- quot(X1052, X1053, X1053, X1054).\nand substitutionT269 -> T275,\nX1052 -> s(s(s(s(T275)))),\nX1053 -> s(s(T275)),\nX1030 -> X1055,\nX1054 -> X1055", fontsize=14, style = filled, fillcolor = lightblue];
265 -> 2148 [arrowhead = none ];
2148 -> 266;

2149 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
266 -> 2149 [arrowhead = none ];
2149 -> 267;

2150 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
267 -> 2150 [arrowhead = none ];
2150 -> 268;

2151 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
268 -> 2151 [arrowhead = none ];
2151 -> 269;

2152 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
268 -> 2152 [arrowhead = none ];
2152 -> 270;

2153 [label="ONLY EVAL with clause\nquot(s(X1090), s(X1091), X1092, X1093) :- quot(X1090, X1091, X1092, X1093).\nand substitutionT275 -> T280,\nX1090 -> s(s(s(T280))),\nX1091 -> s(T280),\nX1092 -> s(s(T280)),\nX1055 -> X1094,\nX1093 -> X1094", fontsize=14, style = filled, fillcolor = lightblue];
269 -> 2153 [arrowhead = none ];
2153 -> 271;

2154 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
270 -> 2154 [arrowhead = none ];
2154 -> 486;

2155 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
271 -> 2155 [arrowhead = none ];
2155 -> 272;

2156 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
272 -> 2156 [arrowhead = none ];
2156 -> 273;

2157 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
273 -> 2157 [arrowhead = none ];
2157 -> 274;

2158 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
273 -> 2158 [arrowhead = none ];
2158 -> 275;

2159 [label="ONLY EVAL with clause\nquot(s(X1129), s(X1130), X1131, X1132) :- quot(X1129, X1130, X1131, X1132).\nand substitutionT280 -> T285,\nX1129 -> s(s(T285)),\nX1130 -> T285,\nX1131 -> s(s(T285)),\nX1094 -> X1133,\nX1132 -> X1133", fontsize=14, style = filled, fillcolor = lightblue];
274 -> 2159 [arrowhead = none ];
2159 -> 276;

2160 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
275 -> 2160 [arrowhead = none ];
2160 -> 485;

2161 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
276 -> 2161 [arrowhead = none ];
2161 -> 277;

2162 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
277 -> 2162 [arrowhead = none ];
2162 -> 278;

2163 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
278 -> 2163 [arrowhead = none ];
2163 -> 279;

2164 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
278 -> 2164 [arrowhead = none ];
2164 -> 280;

2165 [label="EVAL with clause\nquot(s(X1160), s(X1161), X1162, X1163) :- quot(X1160, X1161, X1162, X1163).\nand substitutionT285 -> s(T295),\nX1160 -> s(s(T295)),\nX1161 -> T295,\nT294 -> s(T295),\nX1162 -> s(s(s(T295))),\nX1133 -> X1164,\nX1163 -> X1164", fontsize=14, style = filled, fillcolor = lightblue];
279 -> 2165 [arrowhead = none ];
2165 -> 281;

2166 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
279 -> 2166 [arrowhead = none ];
2166 -> 282;

2167 [label="EVAL with clause\nquot(X2136, 0, s(X2137), s(X2138)) :- quot(X2136, s(X2137), s(X2137), X2138).\nand substitutionT285 -> 0,\nX2136 -> s(s(0)),\nT402 -> 0,\nX2137 -> s(0),\nX2138 -> X2139,\nX1133 -> s(X2139)", fontsize=14, style = filled, fillcolor = lightblue];
280 -> 2167 [arrowhead = none ];
2167 -> 467;

2168 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
280 -> 2168 [arrowhead = none ];
2168 -> 468;

2169 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
281 -> 2169 [arrowhead = none ];
2169 -> 283;

2170 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
283 -> 2170 [arrowhead = none ];
2170 -> 284;

2171 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
284 -> 2171 [arrowhead = none ];
2171 -> 285;

2172 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
284 -> 2172 [arrowhead = none ];
2172 -> 286;

2173 [label="EVAL with clause\nquot(s(X1191), s(X1192), X1193, X1194) :- quot(X1191, X1192, X1193, X1194).\nand substitutionT295 -> s(T305),\nX1191 -> s(s(T305)),\nX1192 -> T305,\nT304 -> s(T305),\nX1193 -> s(s(s(s(T305)))),\nX1164 -> X1195,\nX1194 -> X1195", fontsize=14, style = filled, fillcolor = lightblue];
285 -> 2173 [arrowhead = none ];
2173 -> 287;

2174 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
285 -> 2174 [arrowhead = none ];
2174 -> 288;

2175 [label="EVAL with clause\nquot(X2025, 0, s(X2026), s(X2027)) :- quot(X2025, s(X2026), s(X2026), X2027).\nand substitutionT295 -> 0,\nX2025 -> s(s(0)),\nT399 -> 0,\nX2026 -> s(s(0)),\nX2027 -> X2028,\nX1164 -> s(X2028)", fontsize=14, style = filled, fillcolor = lightblue];
286 -> 2175 [arrowhead = none ];
2175 -> 446;

2176 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
286 -> 2176 [arrowhead = none ];
2176 -> 447;

2177 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
287 -> 2177 [arrowhead = none ];
2177 -> 289;

2178 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
289 -> 2178 [arrowhead = none ];
2178 -> 290;

2179 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
290 -> 2179 [arrowhead = none ];
2179 -> 291;

2180 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
290 -> 2180 [arrowhead = none ];
2180 -> 292;

2181 [label="EVAL with clause\nquot(s(X1222), s(X1223), X1224, X1225) :- quot(X1222, X1223, X1224, X1225).\nand substitutionT305 -> s(T315),\nX1222 -> s(s(T315)),\nX1223 -> T315,\nT314 -> s(T315),\nX1224 -> s(s(s(s(s(T315))))),\nX1195 -> X1226,\nX1225 -> X1226", fontsize=14, style = filled, fillcolor = lightblue];
291 -> 2181 [arrowhead = none ];
2181 -> 293;

2182 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
291 -> 2182 [arrowhead = none ];
2182 -> 294;

2183 [label="EVAL with clause\nquot(X1914, 0, s(X1915), s(X1916)) :- quot(X1914, s(X1915), s(X1915), X1916).\nand substitutionT305 -> 0,\nX1914 -> s(s(0)),\nT396 -> 0,\nX1915 -> s(s(s(0))),\nX1916 -> X1917,\nX1195 -> s(X1917)", fontsize=14, style = filled, fillcolor = lightblue];
292 -> 2183 [arrowhead = none ];
2183 -> 425;

2184 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
292 -> 2184 [arrowhead = none ];
2184 -> 426;

2185 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
293 -> 2185 [arrowhead = none ];
2185 -> 295;

2186 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
295 -> 2186 [arrowhead = none ];
2186 -> 296;

2187 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
296 -> 2187 [arrowhead = none ];
2187 -> 297;

2188 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
296 -> 2188 [arrowhead = none ];
2188 -> 298;

2189 [label="EVAL with clause\nquot(s(X1253), s(X1254), X1255, X1256) :- quot(X1253, X1254, X1255, X1256).\nand substitutionT315 -> s(T325),\nX1253 -> s(s(T325)),\nX1254 -> T325,\nT324 -> s(T325),\nX1255 -> s(s(s(s(s(s(T325)))))),\nX1226 -> X1257,\nX1256 -> X1257", fontsize=14, style = filled, fillcolor = lightblue];
297 -> 2189 [arrowhead = none ];
2189 -> 299;

2190 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
297 -> 2190 [arrowhead = none ];
2190 -> 300;

2191 [label="EVAL with clause\nquot(X1803, 0, s(X1804), s(X1805)) :- quot(X1803, s(X1804), s(X1804), X1805).\nand substitutionT315 -> 0,\nX1803 -> s(s(0)),\nT393 -> 0,\nX1804 -> s(s(s(s(0)))),\nX1805 -> X1806,\nX1226 -> s(X1806)", fontsize=14, style = filled, fillcolor = lightblue];
298 -> 2191 [arrowhead = none ];
2191 -> 404;

2192 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
298 -> 2192 [arrowhead = none ];
2192 -> 405;

2193 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
299 -> 2193 [arrowhead = none ];
2193 -> 301;

2194 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
301 -> 2194 [arrowhead = none ];
2194 -> 302;

2195 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
302 -> 2195 [arrowhead = none ];
2195 -> 303;

2196 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
302 -> 2196 [arrowhead = none ];
2196 -> 304;

2197 [label="EVAL with clause\nquot(s(X1284), s(X1285), X1286, X1287) :- quot(X1284, X1285, X1286, X1287).\nand substitutionT325 -> s(T335),\nX1284 -> s(s(T335)),\nX1285 -> T335,\nT334 -> s(T335),\nX1286 -> s(s(s(s(s(s(s(T335))))))),\nX1257 -> X1288,\nX1287 -> X1288", fontsize=14, style = filled, fillcolor = lightblue];
303 -> 2197 [arrowhead = none ];
2197 -> 305;

2198 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
303 -> 2198 [arrowhead = none ];
2198 -> 306;

2199 [label="EVAL with clause\nquot(X1692, 0, s(X1693), s(X1694)) :- quot(X1692, s(X1693), s(X1693), X1694).\nand substitutionT325 -> 0,\nX1692 -> s(s(0)),\nT390 -> 0,\nX1693 -> s(s(s(s(s(0))))),\nX1694 -> X1695,\nX1257 -> s(X1695)", fontsize=14, style = filled, fillcolor = lightblue];
304 -> 2199 [arrowhead = none ];
2199 -> 383;

2200 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
304 -> 2200 [arrowhead = none ];
2200 -> 384;

2201 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
305 -> 2201 [arrowhead = none ];
2201 -> 307;

2202 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
307 -> 2202 [arrowhead = none ];
2202 -> 308;

2203 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
308 -> 2203 [arrowhead = none ];
2203 -> 309;

2204 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
308 -> 2204 [arrowhead = none ];
2204 -> 310;

2205 [label="EVAL with clause\nquot(s(X1315), s(X1316), X1317, X1318) :- quot(X1315, X1316, X1317, X1318).\nand substitutionT335 -> s(T345),\nX1315 -> s(s(T345)),\nX1316 -> T345,\nT344 -> s(T345),\nX1317 -> s(s(s(s(s(s(s(s(T345)))))))),\nX1288 -> X1319,\nX1318 -> X1319", fontsize=14, style = filled, fillcolor = lightblue];
309 -> 2205 [arrowhead = none ];
2205 -> 311;

2206 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
309 -> 2206 [arrowhead = none ];
2206 -> 312;

2207 [label="EVAL with clause\nquot(X1581, 0, s(X1582), s(X1583)) :- quot(X1581, s(X1582), s(X1582), X1583).\nand substitutionT335 -> 0,\nX1581 -> s(s(0)),\nT387 -> 0,\nX1582 -> s(s(s(s(s(s(0)))))),\nX1583 -> X1584,\nX1288 -> s(X1584)", fontsize=14, style = filled, fillcolor = lightblue];
310 -> 2207 [arrowhead = none ];
2207 -> 362;

2208 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
310 -> 2208 [arrowhead = none ];
2208 -> 363;

2209 [label="GENERALIZATION\nT346 <-- s(s(s(s(s(s(s(T345)))))))\n\nNew Knowledge:\nT346 is ground", fontsize=14, style = filled, fillcolor = violet];
311 -> 2209 [arrowhead = none ];
2209 -> 313;

2210 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
313 -> 2210 [arrowhead = none ];
2210 -> 314;

2211 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
314 -> 2211 [arrowhead = none ];
2211 -> 315;

2212 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
315 -> 2212 [arrowhead = none ];
2212 -> 316;

2213 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
315 -> 2213 [arrowhead = none ];
2213 -> 317;

2214 [label="EVAL with clause\nquot(s(X1350), s(X1351), X1352, X1353) :- quot(X1350, X1351, X1352, X1353).\nand substitutionT345 -> s(T360),\nX1350 -> s(s(T360)),\nX1351 -> T360,\nT359 -> s(T360),\nT346 -> T361,\nX1352 -> s(T361),\nX1319 -> X1354,\nX1353 -> X1354", fontsize=14, style = filled, fillcolor = lightblue];
316 -> 2214 [arrowhead = none ];
2214 -> 318;

2215 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
316 -> 2215 [arrowhead = none ];
2215 -> 319;

2216 [label="EVAL with clause\nquot(X1367, 0, s(X1368), s(X1369)) :- quot(X1367, s(X1368), s(X1368), X1369).\nand substitutionT345 -> 0,\nX1367 -> s(s(0)),\nT366 -> 0,\nT346 -> T367,\nX1368 -> T367,\nX1369 -> X1370,\nX1319 -> s(X1370)", fontsize=14, style = filled, fillcolor = lightblue];
317 -> 2216 [arrowhead = none ];
2216 -> 320;

2217 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
317 -> 2217 [arrowhead = none ];
2217 -> 321;

2218 [label="INSTANCE with matching:\nT345 -> T360\nT346 -> T361\nX1319 -> X1354", fontsize=14, style = filled, fillcolor = lightgrey];
318 -> 2218 [arrowhead = none , style=dashed];
2218 -> 313[style=dashed];

2219 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
320 -> 2219 [arrowhead = none ];
2219 -> 322;

2220 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
322 -> 2220 [arrowhead = none ];
2220 -> 323;

2221 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
323 -> 2221 [arrowhead = none ];
2221 -> 324;

2222 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
323 -> 2222 [arrowhead = none ];
2222 -> 325;

2223 [label="ONLY EVAL with clause\nquot(s(X1405), s(X1406), X1407, X1408) :- quot(X1405, X1406, X1407, X1408).\nand substitutionX1405 -> s(0),\nT367 -> T372,\nX1406 -> T372,\nX1407 -> s(T372),\nX1370 -> X1409,\nX1408 -> X1409", fontsize=14, style = filled, fillcolor = lightblue];
324 -> 2223 [arrowhead = none ];
2223 -> 326;

2224 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
325 -> 2224 [arrowhead = none ];
2224 -> 361;

2225 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
326 -> 2225 [arrowhead = none ];
2225 -> 327;

2226 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
327 -> 2226 [arrowhead = none ];
2226 -> 328;

2227 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
328 -> 2227 [arrowhead = none ];
2227 -> 329;

2228 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
328 -> 2228 [arrowhead = none ];
2228 -> 330;

2229 [label="EVAL with clause\nquot(s(X1436), s(X1437), X1438, X1439) :- quot(X1436, X1437, X1438, X1439).\nand substitutionX1436 -> 0,\nX1437 -> T377,\nT372 -> s(T377),\nX1438 -> s(s(T377)),\nX1409 -> X1440,\nX1439 -> X1440", fontsize=14, style = filled, fillcolor = lightblue];
329 -> 2229 [arrowhead = none ];
2229 -> 331;

2230 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
329 -> 2230 [arrowhead = none ];
2230 -> 332;

2231 [label="EVAL with clause\nquot(X1498, 0, s(X1499), s(X1500)) :- quot(X1498, s(X1499), s(X1499), X1500).\nand substitutionX1498 -> s(0),\nT372 -> 0,\nX1499 -> 0,\nX1500 -> X1501,\nX1409 -> s(X1501)", fontsize=14, style = filled, fillcolor = lightblue];
330 -> 2231 [arrowhead = none ];
2231 -> 349;

2232 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
330 -> 2232 [arrowhead = none ];
2232 -> 350;

2233 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
331 -> 2233 [arrowhead = none ];
2233 -> 333;

2234 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
333 -> 2234 [arrowhead = none ];
2234 -> 334;

2235 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
333 -> 2235 [arrowhead = none ];
2235 -> 335;

2236 [label="EVAL with clause\nquot(0, s(X1453), s(X1454), 0).\nand substitutionX1453 -> T384,\nT377 -> s(T384),\nX1454 -> s(s(T384)),\nX1440 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
334 -> 2236 [arrowhead = none ];
2236 -> 336;

2237 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
334 -> 2237 [arrowhead = none ];
2237 -> 337;

2238 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
335 -> 2238 [arrowhead = none ];
2238 -> 339;

2239 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
336 -> 2239 [arrowhead = none ];
2239 -> 338;

2240 [label="EVAL with clause\nquot(X1467, 0, s(X1468), s(X1469)) :- quot(X1467, s(X1468), s(X1468), X1469).\nand substitutionX1467 -> 0,\nT377 -> 0,\nX1468 -> s(0),\nX1469 -> X1470,\nX1440 -> s(X1470)", fontsize=14, style = filled, fillcolor = lightblue];
339 -> 2240 [arrowhead = none ];
2240 -> 340;

2241 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
339 -> 2241 [arrowhead = none ];
2241 -> 341;

2242 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
340 -> 2242 [arrowhead = none ];
2242 -> 342;

2243 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
342 -> 2243 [arrowhead = none ];
2243 -> 343;

2244 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
342 -> 2244 [arrowhead = none ];
2244 -> 344;

2245 [label="ONLY EVAL with clause\nquot(0, s(X1481), s(X1482), 0).\nand substitutionX1481 -> s(0),\nX1482 -> s(0),\nX1470 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
343 -> 2245 [arrowhead = none ];
2245 -> 345;

2246 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
344 -> 2246 [arrowhead = none ];
2246 -> 347;

2247 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
345 -> 2247 [arrowhead = none ];
2247 -> 346;

2248 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
347 -> 2248 [arrowhead = none ];
2248 -> 348;

2249 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
349 -> 2249 [arrowhead = none ];
2249 -> 351;

2250 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
351 -> 2250 [arrowhead = none ];
2250 -> 352;

2251 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
352 -> 2251 [arrowhead = none ];
2251 -> 353;

2252 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
352 -> 2252 [arrowhead = none ];
2252 -> 354;

2253 [label="ONLY EVAL with clause\nquot(s(X1536), s(X1537), X1538, X1539) :- quot(X1536, X1537, X1538, X1539).\nand substitutionX1536 -> 0,\nX1537 -> 0,\nX1538 -> s(0),\nX1501 -> X1540,\nX1539 -> X1540", fontsize=14, style = filled, fillcolor = lightblue];
353 -> 2253 [arrowhead = none ];
2253 -> 355;

2254 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
354 -> 2254 [arrowhead = none ];
2254 -> 360;

2255 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
355 -> 2255 [arrowhead = none ];
2255 -> 356;

2256 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
356 -> 2256 [arrowhead = none ];
2256 -> 357;

2257 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
357 -> 2257 [arrowhead = none ];
2257 -> 358;

2258 [label="ONLY EVAL with clause\nquot(X1561, 0, s(X1562), s(X1563)) :- quot(X1561, s(X1562), s(X1562), X1563).\nand substitutionX1561 -> 0,\nX1562 -> 0,\nX1563 -> X1564,\nX1540 -> s(X1564)", fontsize=14, style = filled, fillcolor = lightblue];
358 -> 2258 [arrowhead = none ];
2258 -> 359;

2259 [label="INSTANCE with matching:\nX443 -> X1564", fontsize=14, style = filled, fillcolor = lightgrey];
359 -> 2259 [arrowhead = none , style=dashed];
2259 -> 88[style=dashed];

2260 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
362 -> 2260 [arrowhead = none ];
2260 -> 364;

2261 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
364 -> 2261 [arrowhead = none ];
2261 -> 365;

2262 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
365 -> 2262 [arrowhead = none ];
2262 -> 366;

2263 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
365 -> 2263 [arrowhead = none ];
2263 -> 367;

2264 [label="ONLY EVAL with clause\nquot(s(X1619), s(X1620), X1621, X1622) :- quot(X1619, X1620, X1621, X1622).\nand substitutionX1619 -> s(0),\nX1620 -> s(s(s(s(s(s(0)))))),\nX1621 -> s(s(s(s(s(s(s(0))))))),\nX1584 -> X1623,\nX1622 -> X1623", fontsize=14, style = filled, fillcolor = lightblue];
366 -> 2264 [arrowhead = none ];
2264 -> 368;

2265 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
367 -> 2265 [arrowhead = none ];
2265 -> 382;

2266 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
368 -> 2266 [arrowhead = none ];
2266 -> 369;

2267 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
369 -> 2267 [arrowhead = none ];
2267 -> 370;

2268 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
370 -> 2268 [arrowhead = none ];
2268 -> 371;

2269 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
370 -> 2269 [arrowhead = none ];
2269 -> 372;

2270 [label="ONLY EVAL with clause\nquot(s(X1654), s(X1655), X1656, X1657) :- quot(X1654, X1655, X1656, X1657).\nand substitutionX1654 -> 0,\nX1655 -> s(s(s(s(s(0))))),\nX1656 -> s(s(s(s(s(s(s(0))))))),\nX1623 -> X1658,\nX1657 -> X1658", fontsize=14, style = filled, fillcolor = lightblue];
371 -> 2270 [arrowhead = none ];
2270 -> 373;

2271 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
372 -> 2271 [arrowhead = none ];
2271 -> 381;

2272 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
373 -> 2272 [arrowhead = none ];
2272 -> 374;

2273 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
374 -> 2273 [arrowhead = none ];
2273 -> 375;

2274 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
374 -> 2274 [arrowhead = none ];
2274 -> 376;

2275 [label="ONLY EVAL with clause\nquot(0, s(X1669), s(X1670), 0).\nand substitutionX1669 -> s(s(s(s(0)))),\nX1670 -> s(s(s(s(s(s(0)))))),\nX1658 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
375 -> 2275 [arrowhead = none ];
2275 -> 377;

2276 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
376 -> 2276 [arrowhead = none ];
2276 -> 379;

2277 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
377 -> 2277 [arrowhead = none ];
2277 -> 378;

2278 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
379 -> 2278 [arrowhead = none ];
2278 -> 380;

2279 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
383 -> 2279 [arrowhead = none ];
2279 -> 385;

2280 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
385 -> 2280 [arrowhead = none ];
2280 -> 386;

2281 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
386 -> 2281 [arrowhead = none ];
2281 -> 387;

2282 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
386 -> 2282 [arrowhead = none ];
2282 -> 388;

2283 [label="ONLY EVAL with clause\nquot(s(X1730), s(X1731), X1732, X1733) :- quot(X1730, X1731, X1732, X1733).\nand substitutionX1730 -> s(0),\nX1731 -> s(s(s(s(s(0))))),\nX1732 -> s(s(s(s(s(s(0)))))),\nX1695 -> X1734,\nX1733 -> X1734", fontsize=14, style = filled, fillcolor = lightblue];
387 -> 2283 [arrowhead = none ];
2283 -> 389;

2284 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
388 -> 2284 [arrowhead = none ];
2284 -> 403;

2285 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
389 -> 2285 [arrowhead = none ];
2285 -> 390;

2286 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
390 -> 2286 [arrowhead = none ];
2286 -> 391;

2287 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
391 -> 2287 [arrowhead = none ];
2287 -> 392;

2288 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
391 -> 2288 [arrowhead = none ];
2288 -> 393;

2289 [label="ONLY EVAL with clause\nquot(s(X1765), s(X1766), X1767, X1768) :- quot(X1765, X1766, X1767, X1768).\nand substitutionX1765 -> 0,\nX1766 -> s(s(s(s(0)))),\nX1767 -> s(s(s(s(s(s(0)))))),\nX1734 -> X1769,\nX1768 -> X1769", fontsize=14, style = filled, fillcolor = lightblue];
392 -> 2289 [arrowhead = none ];
2289 -> 394;

2290 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
393 -> 2290 [arrowhead = none ];
2290 -> 402;

2291 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
394 -> 2291 [arrowhead = none ];
2291 -> 395;

2292 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
395 -> 2292 [arrowhead = none ];
2292 -> 396;

2293 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
395 -> 2293 [arrowhead = none ];
2293 -> 397;

2294 [label="ONLY EVAL with clause\nquot(0, s(X1780), s(X1781), 0).\nand substitutionX1780 -> s(s(s(0))),\nX1781 -> s(s(s(s(s(0))))),\nX1769 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
396 -> 2294 [arrowhead = none ];
2294 -> 398;

2295 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
397 -> 2295 [arrowhead = none ];
2295 -> 400;

2296 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
398 -> 2296 [arrowhead = none ];
2296 -> 399;

2297 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
400 -> 2297 [arrowhead = none ];
2297 -> 401;

2298 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
404 -> 2298 [arrowhead = none ];
2298 -> 406;

2299 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
406 -> 2299 [arrowhead = none ];
2299 -> 407;

2300 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
407 -> 2300 [arrowhead = none ];
2300 -> 408;

2301 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
407 -> 2301 [arrowhead = none ];
2301 -> 409;

2302 [label="ONLY EVAL with clause\nquot(s(X1841), s(X1842), X1843, X1844) :- quot(X1841, X1842, X1843, X1844).\nand substitutionX1841 -> s(0),\nX1842 -> s(s(s(s(0)))),\nX1843 -> s(s(s(s(s(0))))),\nX1806 -> X1845,\nX1844 -> X1845", fontsize=14, style = filled, fillcolor = lightblue];
408 -> 2302 [arrowhead = none ];
2302 -> 410;

2303 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
409 -> 2303 [arrowhead = none ];
2303 -> 424;

2304 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
410 -> 2304 [arrowhead = none ];
2304 -> 411;

2305 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
411 -> 2305 [arrowhead = none ];
2305 -> 412;

2306 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
412 -> 2306 [arrowhead = none ];
2306 -> 413;

2307 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
412 -> 2307 [arrowhead = none ];
2307 -> 414;

2308 [label="ONLY EVAL with clause\nquot(s(X1876), s(X1877), X1878, X1879) :- quot(X1876, X1877, X1878, X1879).\nand substitutionX1876 -> 0,\nX1877 -> s(s(s(0))),\nX1878 -> s(s(s(s(s(0))))),\nX1845 -> X1880,\nX1879 -> X1880", fontsize=14, style = filled, fillcolor = lightblue];
413 -> 2308 [arrowhead = none ];
2308 -> 415;

2309 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
414 -> 2309 [arrowhead = none ];
2309 -> 423;

2310 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
415 -> 2310 [arrowhead = none ];
2310 -> 416;

2311 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
416 -> 2311 [arrowhead = none ];
2311 -> 417;

2312 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
416 -> 2312 [arrowhead = none ];
2312 -> 418;

2313 [label="ONLY EVAL with clause\nquot(0, s(X1891), s(X1892), 0).\nand substitutionX1891 -> s(s(0)),\nX1892 -> s(s(s(s(0)))),\nX1880 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
417 -> 2313 [arrowhead = none ];
2313 -> 419;

2314 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
418 -> 2314 [arrowhead = none ];
2314 -> 421;

2315 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
419 -> 2315 [arrowhead = none ];
2315 -> 420;

2316 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
421 -> 2316 [arrowhead = none ];
2316 -> 422;

2317 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
425 -> 2317 [arrowhead = none ];
2317 -> 427;

2318 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
427 -> 2318 [arrowhead = none ];
2318 -> 428;

2319 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
428 -> 2319 [arrowhead = none ];
2319 -> 429;

2320 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
428 -> 2320 [arrowhead = none ];
2320 -> 430;

2321 [label="ONLY EVAL with clause\nquot(s(X1952), s(X1953), X1954, X1955) :- quot(X1952, X1953, X1954, X1955).\nand substitutionX1952 -> s(0),\nX1953 -> s(s(s(0))),\nX1954 -> s(s(s(s(0)))),\nX1917 -> X1956,\nX1955 -> X1956", fontsize=14, style = filled, fillcolor = lightblue];
429 -> 2321 [arrowhead = none ];
2321 -> 431;

2322 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
430 -> 2322 [arrowhead = none ];
2322 -> 445;

2323 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
431 -> 2323 [arrowhead = none ];
2323 -> 432;

2324 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
432 -> 2324 [arrowhead = none ];
2324 -> 433;

2325 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
433 -> 2325 [arrowhead = none ];
2325 -> 434;

2326 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
433 -> 2326 [arrowhead = none ];
2326 -> 435;

2327 [label="ONLY EVAL with clause\nquot(s(X1987), s(X1988), X1989, X1990) :- quot(X1987, X1988, X1989, X1990).\nand substitutionX1987 -> 0,\nX1988 -> s(s(0)),\nX1989 -> s(s(s(s(0)))),\nX1956 -> X1991,\nX1990 -> X1991", fontsize=14, style = filled, fillcolor = lightblue];
434 -> 2327 [arrowhead = none ];
2327 -> 436;

2328 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
435 -> 2328 [arrowhead = none ];
2328 -> 444;

2329 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
436 -> 2329 [arrowhead = none ];
2329 -> 437;

2330 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
437 -> 2330 [arrowhead = none ];
2330 -> 438;

2331 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
437 -> 2331 [arrowhead = none ];
2331 -> 439;

2332 [label="ONLY EVAL with clause\nquot(0, s(X2002), s(X2003), 0).\nand substitutionX2002 -> s(0),\nX2003 -> s(s(s(0))),\nX1991 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
438 -> 2332 [arrowhead = none ];
2332 -> 440;

2333 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
439 -> 2333 [arrowhead = none ];
2333 -> 442;

2334 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
440 -> 2334 [arrowhead = none ];
2334 -> 441;

2335 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
442 -> 2335 [arrowhead = none ];
2335 -> 443;

2336 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
446 -> 2336 [arrowhead = none ];
2336 -> 448;

2337 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
448 -> 2337 [arrowhead = none ];
2337 -> 449;

2338 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
449 -> 2338 [arrowhead = none ];
2338 -> 450;

2339 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
449 -> 2339 [arrowhead = none ];
2339 -> 451;

2340 [label="ONLY EVAL with clause\nquot(s(X2063), s(X2064), X2065, X2066) :- quot(X2063, X2064, X2065, X2066).\nand substitutionX2063 -> s(0),\nX2064 -> s(s(0)),\nX2065 -> s(s(s(0))),\nX2028 -> X2067,\nX2066 -> X2067", fontsize=14, style = filled, fillcolor = lightblue];
450 -> 2340 [arrowhead = none ];
2340 -> 452;

2341 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
451 -> 2341 [arrowhead = none ];
2341 -> 466;

2342 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
452 -> 2342 [arrowhead = none ];
2342 -> 453;

2343 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
453 -> 2343 [arrowhead = none ];
2343 -> 454;

2344 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
454 -> 2344 [arrowhead = none ];
2344 -> 455;

2345 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
454 -> 2345 [arrowhead = none ];
2345 -> 456;

2346 [label="ONLY EVAL with clause\nquot(s(X2098), s(X2099), X2100, X2101) :- quot(X2098, X2099, X2100, X2101).\nand substitutionX2098 -> 0,\nX2099 -> s(0),\nX2100 -> s(s(s(0))),\nX2067 -> X2102,\nX2101 -> X2102", fontsize=14, style = filled, fillcolor = lightblue];
455 -> 2346 [arrowhead = none ];
2346 -> 457;

2347 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
456 -> 2347 [arrowhead = none ];
2347 -> 465;

2348 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
457 -> 2348 [arrowhead = none ];
2348 -> 458;

2349 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
458 -> 2349 [arrowhead = none ];
2349 -> 459;

2350 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
458 -> 2350 [arrowhead = none ];
2350 -> 460;

2351 [label="ONLY EVAL with clause\nquot(0, s(X2113), s(X2114), 0).\nand substitutionX2113 -> 0,\nX2114 -> s(s(0)),\nX2102 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
459 -> 2351 [arrowhead = none ];
2351 -> 461;

2352 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
460 -> 2352 [arrowhead = none ];
2352 -> 463;

2353 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
461 -> 2353 [arrowhead = none ];
2353 -> 462;

2354 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
463 -> 2354 [arrowhead = none ];
2354 -> 464;

2355 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
467 -> 2355 [arrowhead = none ];
2355 -> 469;

2356 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
469 -> 2356 [arrowhead = none ];
2356 -> 470;

2357 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
470 -> 2357 [arrowhead = none ];
2357 -> 471;

2358 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
470 -> 2358 [arrowhead = none ];
2358 -> 472;

2359 [label="ONLY EVAL with clause\nquot(s(X2174), s(X2175), X2176, X2177) :- quot(X2174, X2175, X2176, X2177).\nand substitutionX2174 -> s(0),\nX2175 -> s(0),\nX2176 -> s(s(0)),\nX2139 -> X2178,\nX2177 -> X2178", fontsize=14, style = filled, fillcolor = lightblue];
471 -> 2359 [arrowhead = none ];
2359 -> 473;

2360 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
472 -> 2360 [arrowhead = none ];
2360 -> 484;

2361 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
473 -> 2361 [arrowhead = none ];
2361 -> 474;

2362 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
474 -> 2362 [arrowhead = none ];
2362 -> 475;

2363 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
475 -> 2363 [arrowhead = none ];
2363 -> 476;

2364 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
475 -> 2364 [arrowhead = none ];
2364 -> 477;

2365 [label="ONLY EVAL with clause\nquot(s(X2213), s(X2214), X2215, X2216) :- quot(X2213, X2214, X2215, X2216).\nand substitutionX2213 -> 0,\nX2214 -> 0,\nX2215 -> s(s(0)),\nX2178 -> X2217,\nX2216 -> X2217", fontsize=14, style = filled, fillcolor = lightblue];
476 -> 2365 [arrowhead = none ];
2365 -> 478;

2366 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
477 -> 2366 [arrowhead = none ];
2366 -> 483;

2367 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
478 -> 2367 [arrowhead = none ];
2367 -> 479;

2368 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
479 -> 2368 [arrowhead = none ];
2368 -> 480;

2369 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
480 -> 2369 [arrowhead = none ];
2369 -> 481;

2370 [label="ONLY EVAL with clause\nquot(X2238, 0, s(X2239), s(X2240)) :- quot(X2238, s(X2239), s(X2239), X2240).\nand substitutionX2238 -> 0,\nX2239 -> s(0),\nX2240 -> X2241,\nX2217 -> s(X2241)", fontsize=14, style = filled, fillcolor = lightblue];
481 -> 2370 [arrowhead = none ];
2370 -> 482;

2371 [label="INSTANCE with matching:\nX1470 -> X2241", fontsize=14, style = filled, fillcolor = lightgrey];
482 -> 2371 [arrowhead = none , style=dashed];
2371 -> 340[style=dashed];

2372 [label="INSTANCE with matching:\nT22 -> T271\nT20 -> T269\nX35 -> X1031", fontsize=14, style = filled, fillcolor = lightgrey];
487 -> 2372 [arrowhead = none , style=dashed];
2372 -> 190[style=dashed];

2373 [label="INSTANCE with matching:\nT20 -> s(T269)\nT157 -> T407", fontsize=14, style = filled, fillcolor = lightgrey];
488 -> 2373 [arrowhead = none , style=dashed];
2373 -> 191[style=dashed];

2374 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
489 -> 2374 [arrowhead = none ];
2374 -> 490;

2375 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
489 -> 2375 [arrowhead = none ];
2375 -> 491;

2376 [label="EVAL with clause\npr(X2268, s(0)).\nand substitutionT263 -> 0,\nX2268 -> s(s(s(s(0)))),\nT418 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
490 -> 2376 [arrowhead = none ];
2376 -> 492;

2377 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
490 -> 2377 [arrowhead = none ];
2377 -> 493;

2378 [label="EVAL with clause\npr(X2273, s(s(X2274))) :- ','(not_divides(s(s(X2274)), X2273), pr(X2273, s(X2274))).\nand substitutionT263 -> s(T424),\nX2273 -> s(s(s(s(s(T424))))),\nX2274 -> T424,\nT423 -> s(T424)", fontsize=14, style = filled, fillcolor = lightblue];
491 -> 2378 [arrowhead = none ];
2378 -> 495;

2379 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
491 -> 2379 [arrowhead = none ];
2379 -> 496;

2380 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
492 -> 2380 [arrowhead = none ];
2380 -> 494;

2381 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
495 -> 2381 [arrowhead = none ];
2381 -> 497;

2382 [label="SPLIT 2\nnew knowledge:\nT424 is ground", fontsize=14, style = filled, fillcolor = violet];
495 -> 2382 [arrowhead = none ];
2382 -> 498;

2383 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
497 -> 2383 [arrowhead = none ];
2383 -> 499;

2384 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
498 -> 2384 [arrowhead = none ];
2384 -> 762;

2385 [label="ONLY EVAL with clause\nnot_divides(X2293, X2294) :- ','(div(X2294, X2293, X2295), ','(times(X2295, X2293, X2296), neq(X2294, X2296))).\nand substitutionT424 -> T430,\nX2293 -> s(s(T430)),\nX2294 -> s(s(s(s(s(T430)))))", fontsize=14, style = filled, fillcolor = lightblue];
499 -> 2385 [arrowhead = none ];
2385 -> 500;

2386 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
500 -> 2386 [arrowhead = none ];
2386 -> 501;

2387 [label="SPLIT 2\nnew knowledge:\nT430 is ground\nT432 is ground\nreplacements:X2295 -> T432", fontsize=14, style = filled, fillcolor = violet];
500 -> 2387 [arrowhead = none ];
2387 -> 502;

2388 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
501 -> 2388 [arrowhead = none ];
2388 -> 503;

2389 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
502 -> 2389 [arrowhead = none ];
2389 -> 760;

2390 [label="SPLIT 2\nnew knowledge:\nT432 is ground\nT430 is ground\nT573 is ground\nreplacements:X2296 -> T573", fontsize=14, style = filled, fillcolor = violet];
502 -> 2390 [arrowhead = none ];
2390 -> 761;

2391 [label="ONLY EVAL with clause\ndiv(X2317, X2318, X2319) :- quot(X2317, X2318, X2318, X2319).\nand substitutionT430 -> T436,\nX2317 -> s(s(s(s(s(T436))))),\nX2318 -> s(s(T436)),\nX2295 -> X2320,\nX2319 -> X2320", fontsize=14, style = filled, fillcolor = lightblue];
503 -> 2391 [arrowhead = none ];
2391 -> 504;

2392 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
504 -> 2392 [arrowhead = none ];
2392 -> 505;

2393 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
505 -> 2393 [arrowhead = none ];
2393 -> 506;

2394 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
506 -> 2394 [arrowhead = none ];
2394 -> 507;

2395 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
506 -> 2395 [arrowhead = none ];
2395 -> 508;

2396 [label="ONLY EVAL with clause\nquot(s(X2355), s(X2356), X2357, X2358) :- quot(X2355, X2356, X2357, X2358).\nand substitutionT436 -> T441,\nX2355 -> s(s(s(s(T441)))),\nX2356 -> s(T441),\nX2357 -> s(s(T441)),\nX2320 -> X2359,\nX2358 -> X2359", fontsize=14, style = filled, fillcolor = lightblue];
507 -> 2396 [arrowhead = none ];
2396 -> 509;

2397 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
508 -> 2397 [arrowhead = none ];
2397 -> 759;

2398 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
509 -> 2398 [arrowhead = none ];
2398 -> 510;

2399 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
510 -> 2399 [arrowhead = none ];
2399 -> 511;

2400 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
511 -> 2400 [arrowhead = none ];
2400 -> 512;

2401 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
511 -> 2401 [arrowhead = none ];
2401 -> 513;

2402 [label="ONLY EVAL with clause\nquot(s(X2394), s(X2395), X2396, X2397) :- quot(X2394, X2395, X2396, X2397).\nand substitutionT441 -> T446,\nX2394 -> s(s(s(T446))),\nX2395 -> T446,\nX2396 -> s(s(T446)),\nX2359 -> X2398,\nX2397 -> X2398", fontsize=14, style = filled, fillcolor = lightblue];
512 -> 2402 [arrowhead = none ];
2402 -> 514;

2403 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
513 -> 2403 [arrowhead = none ];
2403 -> 758;

2404 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
514 -> 2404 [arrowhead = none ];
2404 -> 515;

2405 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
515 -> 2405 [arrowhead = none ];
2405 -> 516;

2406 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
516 -> 2406 [arrowhead = none ];
2406 -> 517;

2407 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
516 -> 2407 [arrowhead = none ];
2407 -> 518;

2408 [label="EVAL with clause\nquot(s(X2425), s(X2426), X2427, X2428) :- quot(X2425, X2426, X2427, X2428).\nand substitutionT446 -> s(T456),\nX2425 -> s(s(s(T456))),\nX2426 -> T456,\nT455 -> s(T456),\nX2427 -> s(s(s(T456))),\nX2398 -> X2429,\nX2428 -> X2429", fontsize=14, style = filled, fillcolor = lightblue];
517 -> 2408 [arrowhead = none ];
2408 -> 519;

2409 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
517 -> 2409 [arrowhead = none ];
2409 -> 520;

2410 [label="EVAL with clause\nquot(X3673, 0, s(X3674), s(X3675)) :- quot(X3673, s(X3674), s(X3674), X3675).\nand substitutionT446 -> 0,\nX3673 -> s(s(s(0))),\nT568 -> 0,\nX3674 -> s(0),\nX3675 -> X3676,\nX2398 -> s(X3676)", fontsize=14, style = filled, fillcolor = lightblue];
518 -> 2410 [arrowhead = none ];
2410 -> 740;

2411 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
518 -> 2411 [arrowhead = none ];
2411 -> 741;

2412 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
519 -> 2412 [arrowhead = none ];
2412 -> 521;

2413 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
521 -> 2413 [arrowhead = none ];
2413 -> 522;

2414 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
522 -> 2414 [arrowhead = none ];
2414 -> 523;

2415 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
522 -> 2415 [arrowhead = none ];
2415 -> 524;

2416 [label="EVAL with clause\nquot(s(X2456), s(X2457), X2458, X2459) :- quot(X2456, X2457, X2458, X2459).\nand substitutionT456 -> s(T466),\nX2456 -> s(s(s(T466))),\nX2457 -> T466,\nT465 -> s(T466),\nX2458 -> s(s(s(s(T466)))),\nX2429 -> X2460,\nX2459 -> X2460", fontsize=14, style = filled, fillcolor = lightblue];
523 -> 2416 [arrowhead = none ];
2416 -> 525;

2417 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
523 -> 2417 [arrowhead = none ];
2417 -> 526;

2418 [label="EVAL with clause\nquot(X3509, 0, s(X3510), s(X3511)) :- quot(X3509, s(X3510), s(X3510), X3511).\nand substitutionT456 -> 0,\nX3509 -> s(s(s(0))),\nT565 -> 0,\nX3510 -> s(s(0)),\nX3511 -> X3512,\nX2429 -> s(X3512)", fontsize=14, style = filled, fillcolor = lightblue];
524 -> 2418 [arrowhead = none ];
2418 -> 716;

2419 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
524 -> 2419 [arrowhead = none ];
2419 -> 717;

2420 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
525 -> 2420 [arrowhead = none ];
2420 -> 527;

2421 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
527 -> 2421 [arrowhead = none ];
2421 -> 528;

2422 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
528 -> 2422 [arrowhead = none ];
2422 -> 529;

2423 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
528 -> 2423 [arrowhead = none ];
2423 -> 530;

2424 [label="EVAL with clause\nquot(s(X2487), s(X2488), X2489, X2490) :- quot(X2487, X2488, X2489, X2490).\nand substitutionT466 -> s(T476),\nX2487 -> s(s(s(T476))),\nX2488 -> T476,\nT475 -> s(T476),\nX2489 -> s(s(s(s(s(T476))))),\nX2460 -> X2491,\nX2490 -> X2491", fontsize=14, style = filled, fillcolor = lightblue];
529 -> 2424 [arrowhead = none ];
2424 -> 531;

2425 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
529 -> 2425 [arrowhead = none ];
2425 -> 532;

2426 [label="EVAL with clause\nquot(X3356, 0, s(X3357), s(X3358)) :- quot(X3356, s(X3357), s(X3357), X3358).\nand substitutionT466 -> 0,\nX3356 -> s(s(s(0))),\nT562 -> 0,\nX3357 -> s(s(s(0))),\nX3358 -> X3359,\nX2460 -> s(X3359)", fontsize=14, style = filled, fillcolor = lightblue];
530 -> 2426 [arrowhead = none ];
2426 -> 689;

2427 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
530 -> 2427 [arrowhead = none ];
2427 -> 690;

2428 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
531 -> 2428 [arrowhead = none ];
2428 -> 533;

2429 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
533 -> 2429 [arrowhead = none ];
2429 -> 534;

2430 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
534 -> 2430 [arrowhead = none ];
2430 -> 535;

2431 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
534 -> 2431 [arrowhead = none ];
2431 -> 536;

2432 [label="EVAL with clause\nquot(s(X2518), s(X2519), X2520, X2521) :- quot(X2518, X2519, X2520, X2521).\nand substitutionT476 -> s(T486),\nX2518 -> s(s(s(T486))),\nX2519 -> T486,\nT485 -> s(T486),\nX2520 -> s(s(s(s(s(s(T486)))))),\nX2491 -> X2522,\nX2521 -> X2522", fontsize=14, style = filled, fillcolor = lightblue];
535 -> 2432 [arrowhead = none ];
2432 -> 537;

2433 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
535 -> 2433 [arrowhead = none ];
2433 -> 538;

2434 [label="EVAL with clause\nquot(X3203, 0, s(X3204), s(X3205)) :- quot(X3203, s(X3204), s(X3204), X3205).\nand substitutionT476 -> 0,\nX3203 -> s(s(s(0))),\nT559 -> 0,\nX3204 -> s(s(s(s(0)))),\nX3205 -> X3206,\nX2491 -> s(X3206)", fontsize=14, style = filled, fillcolor = lightblue];
536 -> 2434 [arrowhead = none ];
2434 -> 662;

2435 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
536 -> 2435 [arrowhead = none ];
2435 -> 663;

2436 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
537 -> 2436 [arrowhead = none ];
2436 -> 539;

2437 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
539 -> 2437 [arrowhead = none ];
2437 -> 540;

2438 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
540 -> 2438 [arrowhead = none ];
2438 -> 541;

2439 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
540 -> 2439 [arrowhead = none ];
2439 -> 542;

2440 [label="EVAL with clause\nquot(s(X2549), s(X2550), X2551, X2552) :- quot(X2549, X2550, X2551, X2552).\nand substitutionT486 -> s(T496),\nX2549 -> s(s(s(T496))),\nX2550 -> T496,\nT495 -> s(T496),\nX2551 -> s(s(s(s(s(s(s(T496))))))),\nX2522 -> X2553,\nX2552 -> X2553", fontsize=14, style = filled, fillcolor = lightblue];
541 -> 2440 [arrowhead = none ];
2440 -> 543;

2441 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
541 -> 2441 [arrowhead = none ];
2441 -> 544;

2442 [label="EVAL with clause\nquot(X3050, 0, s(X3051), s(X3052)) :- quot(X3050, s(X3051), s(X3051), X3052).\nand substitutionT486 -> 0,\nX3050 -> s(s(s(0))),\nT556 -> 0,\nX3051 -> s(s(s(s(s(0))))),\nX3052 -> X3053,\nX2522 -> s(X3053)", fontsize=14, style = filled, fillcolor = lightblue];
542 -> 2442 [arrowhead = none ];
2442 -> 635;

2443 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
542 -> 2443 [arrowhead = none ];
2443 -> 636;

2444 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
543 -> 2444 [arrowhead = none ];
2444 -> 545;

2445 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
545 -> 2445 [arrowhead = none ];
2445 -> 546;

2446 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
546 -> 2446 [arrowhead = none ];
2446 -> 547;

2447 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
546 -> 2447 [arrowhead = none ];
2447 -> 548;

2448 [label="EVAL with clause\nquot(s(X2580), s(X2581), X2582, X2583) :- quot(X2580, X2581, X2582, X2583).\nand substitutionT496 -> s(T506),\nX2580 -> s(s(s(T506))),\nX2581 -> T506,\nT505 -> s(T506),\nX2582 -> s(s(s(s(s(s(s(s(T506)))))))),\nX2553 -> X2584,\nX2583 -> X2584", fontsize=14, style = filled, fillcolor = lightblue];
547 -> 2448 [arrowhead = none ];
2448 -> 549;

2449 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
547 -> 2449 [arrowhead = none ];
2449 -> 550;

2450 [label="EVAL with clause\nquot(X2897, 0, s(X2898), s(X2899)) :- quot(X2897, s(X2898), s(X2898), X2899).\nand substitutionT496 -> 0,\nX2897 -> s(s(s(0))),\nT553 -> 0,\nX2898 -> s(s(s(s(s(s(0)))))),\nX2899 -> X2900,\nX2553 -> s(X2900)", fontsize=14, style = filled, fillcolor = lightblue];
548 -> 2450 [arrowhead = none ];
2450 -> 608;

2451 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
548 -> 2451 [arrowhead = none ];
2451 -> 609;

2452 [label="GENERALIZATION\nT507 <-- s(s(s(s(s(s(s(T506)))))))\n\nNew Knowledge:\nT507 is ground", fontsize=14, style = filled, fillcolor = violet];
549 -> 2452 [arrowhead = none ];
2452 -> 551;

2453 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
551 -> 2453 [arrowhead = none ];
2453 -> 552;

2454 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
552 -> 2454 [arrowhead = none ];
2454 -> 553;

2455 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
553 -> 2455 [arrowhead = none ];
2455 -> 554;

2456 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
553 -> 2456 [arrowhead = none ];
2456 -> 555;

2457 [label="EVAL with clause\nquot(s(X2615), s(X2616), X2617, X2618) :- quot(X2615, X2616, X2617, X2618).\nand substitutionT506 -> s(T521),\nX2615 -> s(s(s(T521))),\nX2616 -> T521,\nT520 -> s(T521),\nT507 -> T522,\nX2617 -> s(T522),\nX2584 -> X2619,\nX2618 -> X2619", fontsize=14, style = filled, fillcolor = lightblue];
554 -> 2457 [arrowhead = none ];
2457 -> 556;

2458 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
554 -> 2458 [arrowhead = none ];
2458 -> 557;

2459 [label="EVAL with clause\nquot(X2632, 0, s(X2633), s(X2634)) :- quot(X2632, s(X2633), s(X2633), X2634).\nand substitutionT506 -> 0,\nX2632 -> s(s(s(0))),\nT527 -> 0,\nT507 -> T528,\nX2633 -> T528,\nX2634 -> X2635,\nX2584 -> s(X2635)", fontsize=14, style = filled, fillcolor = lightblue];
555 -> 2459 [arrowhead = none ];
2459 -> 558;

2460 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
555 -> 2460 [arrowhead = none ];
2460 -> 559;

2461 [label="INSTANCE with matching:\nT506 -> T521\nT507 -> T522\nX2584 -> X2619", fontsize=14, style = filled, fillcolor = lightgrey];
556 -> 2461 [arrowhead = none , style=dashed];
2461 -> 551[style=dashed];

2462 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
558 -> 2462 [arrowhead = none ];
2462 -> 560;

2463 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
560 -> 2463 [arrowhead = none ];
2463 -> 561;

2464 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
561 -> 2464 [arrowhead = none ];
2464 -> 562;

2465 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
561 -> 2465 [arrowhead = none ];
2465 -> 563;

2466 [label="ONLY EVAL with clause\nquot(s(X2670), s(X2671), X2672, X2673) :- quot(X2670, X2671, X2672, X2673).\nand substitutionX2670 -> s(s(0)),\nT528 -> T533,\nX2671 -> T533,\nX2672 -> s(T533),\nX2635 -> X2674,\nX2673 -> X2674", fontsize=14, style = filled, fillcolor = lightblue];
562 -> 2466 [arrowhead = none ];
2466 -> 564;

2467 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
563 -> 2467 [arrowhead = none ];
2467 -> 607;

2468 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
564 -> 2468 [arrowhead = none ];
2468 -> 565;

2469 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
565 -> 2469 [arrowhead = none ];
2469 -> 566;

2470 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
566 -> 2470 [arrowhead = none ];
2470 -> 567;

2471 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
566 -> 2471 [arrowhead = none ];
2471 -> 568;

2472 [label="EVAL with clause\nquot(s(X2701), s(X2702), X2703, X2704) :- quot(X2701, X2702, X2703, X2704).\nand substitutionX2701 -> s(0),\nX2702 -> T538,\nT533 -> s(T538),\nX2703 -> s(s(T538)),\nX2674 -> X2705,\nX2704 -> X2705", fontsize=14, style = filled, fillcolor = lightblue];
567 -> 2472 [arrowhead = none ];
2472 -> 569;

2473 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
567 -> 2473 [arrowhead = none ];
2473 -> 570;

2474 [label="EVAL with clause\nquot(X2810, 0, s(X2811), s(X2812)) :- quot(X2810, s(X2811), s(X2811), X2812).\nand substitutionX2810 -> s(s(0)),\nT533 -> 0,\nX2811 -> 0,\nX2812 -> X2813,\nX2674 -> s(X2813)", fontsize=14, style = filled, fillcolor = lightblue];
568 -> 2474 [arrowhead = none ];
2474 -> 595;

2475 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
568 -> 2475 [arrowhead = none ];
2475 -> 596;

2476 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
569 -> 2476 [arrowhead = none ];
2476 -> 571;

2477 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
571 -> 2477 [arrowhead = none ];
2477 -> 572;

2478 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
572 -> 2478 [arrowhead = none ];
2478 -> 573;

2479 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
572 -> 2479 [arrowhead = none ];
2479 -> 574;

2480 [label="EVAL with clause\nquot(s(X2732), s(X2733), X2734, X2735) :- quot(X2732, X2733, X2734, X2735).\nand substitutionX2732 -> 0,\nX2733 -> T543,\nT538 -> s(T543),\nX2734 -> s(s(s(T543))),\nX2705 -> X2736,\nX2735 -> X2736", fontsize=14, style = filled, fillcolor = lightblue];
573 -> 2480 [arrowhead = none ];
2480 -> 575;

2481 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
573 -> 2481 [arrowhead = none ];
2481 -> 576;

2482 [label="EVAL with clause\nquot(X2794, 0, s(X2795), s(X2796)) :- quot(X2794, s(X2795), s(X2795), X2796).\nand substitutionX2794 -> s(0),\nT538 -> 0,\nX2795 -> s(0),\nX2796 -> X2797,\nX2705 -> s(X2797)", fontsize=14, style = filled, fillcolor = lightblue];
574 -> 2482 [arrowhead = none ];
2482 -> 593;

2483 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
574 -> 2483 [arrowhead = none ];
2483 -> 594;

2484 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
575 -> 2484 [arrowhead = none ];
2484 -> 577;

2485 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
577 -> 2485 [arrowhead = none ];
2485 -> 578;

2486 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
577 -> 2486 [arrowhead = none ];
2486 -> 579;

2487 [label="EVAL with clause\nquot(0, s(X2749), s(X2750), 0).\nand substitutionX2749 -> T550,\nT543 -> s(T550),\nX2750 -> s(s(s(T550))),\nX2736 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
578 -> 2487 [arrowhead = none ];
2487 -> 580;

2488 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
578 -> 2488 [arrowhead = none ];
2488 -> 581;

2489 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
579 -> 2489 [arrowhead = none ];
2489 -> 583;

2490 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
580 -> 2490 [arrowhead = none ];
2490 -> 582;

2491 [label="EVAL with clause\nquot(X2763, 0, s(X2764), s(X2765)) :- quot(X2763, s(X2764), s(X2764), X2765).\nand substitutionX2763 -> 0,\nT543 -> 0,\nX2764 -> s(s(0)),\nX2765 -> X2766,\nX2736 -> s(X2766)", fontsize=14, style = filled, fillcolor = lightblue];
583 -> 2491 [arrowhead = none ];
2491 -> 584;

2492 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
583 -> 2492 [arrowhead = none ];
2492 -> 585;

2493 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
584 -> 2493 [arrowhead = none ];
2493 -> 586;

2494 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
586 -> 2494 [arrowhead = none ];
2494 -> 587;

2495 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
586 -> 2495 [arrowhead = none ];
2495 -> 588;

2496 [label="ONLY EVAL with clause\nquot(0, s(X2777), s(X2778), 0).\nand substitutionX2777 -> s(s(0)),\nX2778 -> s(s(0)),\nX2766 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
587 -> 2496 [arrowhead = none ];
2496 -> 589;

2497 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
588 -> 2497 [arrowhead = none ];
2497 -> 591;

2498 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
589 -> 2498 [arrowhead = none ];
2498 -> 590;

2499 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
591 -> 2499 [arrowhead = none ];
2499 -> 592;

2500 [label="INSTANCE with matching:\nX822 -> X2797", fontsize=14, style = filled, fillcolor = lightgrey];
593 -> 2500 [arrowhead = none , style=dashed];
2500 -> 173[style=dashed];

2501 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
595 -> 2501 [arrowhead = none ];
2501 -> 597;

2502 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
597 -> 2502 [arrowhead = none ];
2502 -> 598;

2503 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
598 -> 2503 [arrowhead = none ];
2503 -> 599;

2504 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
598 -> 2504 [arrowhead = none ];
2504 -> 600;

2505 [label="ONLY EVAL with clause\nquot(s(X2848), s(X2849), X2850, X2851) :- quot(X2848, X2849, X2850, X2851).\nand substitutionX2848 -> s(0),\nX2849 -> 0,\nX2850 -> s(0),\nX2813 -> X2852,\nX2851 -> X2852", fontsize=14, style = filled, fillcolor = lightblue];
599 -> 2505 [arrowhead = none ];
2505 -> 601;

2506 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
600 -> 2506 [arrowhead = none ];
2506 -> 606;

2507 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
601 -> 2507 [arrowhead = none ];
2507 -> 602;

2508 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
602 -> 2508 [arrowhead = none ];
2508 -> 603;

2509 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
603 -> 2509 [arrowhead = none ];
2509 -> 604;

2510 [label="ONLY EVAL with clause\nquot(X2875, 0, s(X2876), s(X2877)) :- quot(X2875, s(X2876), s(X2876), X2877).\nand substitutionX2875 -> s(0),\nX2876 -> 0,\nX2877 -> X2878,\nX2852 -> s(X2878)", fontsize=14, style = filled, fillcolor = lightblue];
604 -> 2510 [arrowhead = none ];
2510 -> 605;

2511 [label="INSTANCE with matching:\nX1501 -> X2878", fontsize=14, style = filled, fillcolor = lightgrey];
605 -> 2511 [arrowhead = none , style=dashed];
2511 -> 349[style=dashed];

2512 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
608 -> 2512 [arrowhead = none ];
2512 -> 610;

2513 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
610 -> 2513 [arrowhead = none ];
2513 -> 611;

2514 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
611 -> 2514 [arrowhead = none ];
2514 -> 612;

2515 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
611 -> 2515 [arrowhead = none ];
2515 -> 613;

2516 [label="ONLY EVAL with clause\nquot(s(X2935), s(X2936), X2937, X2938) :- quot(X2935, X2936, X2937, X2938).\nand substitutionX2935 -> s(s(0)),\nX2936 -> s(s(s(s(s(s(0)))))),\nX2937 -> s(s(s(s(s(s(s(0))))))),\nX2900 -> X2939,\nX2938 -> X2939", fontsize=14, style = filled, fillcolor = lightblue];
612 -> 2516 [arrowhead = none ];
2516 -> 614;

2517 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
613 -> 2517 [arrowhead = none ];
2517 -> 634;

2518 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
614 -> 2518 [arrowhead = none ];
2518 -> 615;

2519 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
615 -> 2519 [arrowhead = none ];
2519 -> 616;

2520 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
616 -> 2520 [arrowhead = none ];
2520 -> 617;

2521 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
616 -> 2521 [arrowhead = none ];
2521 -> 618;

2522 [label="ONLY EVAL with clause\nquot(s(X2974), s(X2975), X2976, X2977) :- quot(X2974, X2975, X2976, X2977).\nand substitutionX2974 -> s(0),\nX2975 -> s(s(s(s(s(0))))),\nX2976 -> s(s(s(s(s(s(s(0))))))),\nX2939 -> X2978,\nX2977 -> X2978", fontsize=14, style = filled, fillcolor = lightblue];
617 -> 2522 [arrowhead = none ];
2522 -> 619;

2523 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
618 -> 2523 [arrowhead = none ];
2523 -> 633;

2524 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
619 -> 2524 [arrowhead = none ];
2524 -> 620;

2525 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
620 -> 2525 [arrowhead = none ];
2525 -> 621;

2526 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
621 -> 2526 [arrowhead = none ];
2526 -> 622;

2527 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
621 -> 2527 [arrowhead = none ];
2527 -> 623;

2528 [label="ONLY EVAL with clause\nquot(s(X3009), s(X3010), X3011, X3012) :- quot(X3009, X3010, X3011, X3012).\nand substitutionX3009 -> 0,\nX3010 -> s(s(s(s(0)))),\nX3011 -> s(s(s(s(s(s(s(0))))))),\nX2978 -> X3013,\nX3012 -> X3013", fontsize=14, style = filled, fillcolor = lightblue];
622 -> 2528 [arrowhead = none ];
2528 -> 624;

2529 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
623 -> 2529 [arrowhead = none ];
2529 -> 632;

2530 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
624 -> 2530 [arrowhead = none ];
2530 -> 625;

2531 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
625 -> 2531 [arrowhead = none ];
2531 -> 626;

2532 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
625 -> 2532 [arrowhead = none ];
2532 -> 627;

2533 [label="ONLY EVAL with clause\nquot(0, s(X3024), s(X3025), 0).\nand substitutionX3024 -> s(s(s(0))),\nX3025 -> s(s(s(s(s(s(0)))))),\nX3013 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
626 -> 2533 [arrowhead = none ];
2533 -> 628;

2534 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
627 -> 2534 [arrowhead = none ];
2534 -> 630;

2535 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
628 -> 2535 [arrowhead = none ];
2535 -> 629;

2536 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
630 -> 2536 [arrowhead = none ];
2536 -> 631;

2537 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
635 -> 2537 [arrowhead = none ];
2537 -> 637;

2538 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
637 -> 2538 [arrowhead = none ];
2538 -> 638;

2539 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
638 -> 2539 [arrowhead = none ];
2539 -> 639;

2540 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
638 -> 2540 [arrowhead = none ];
2540 -> 640;

2541 [label="ONLY EVAL with clause\nquot(s(X3088), s(X3089), X3090, X3091) :- quot(X3088, X3089, X3090, X3091).\nand substitutionX3088 -> s(s(0)),\nX3089 -> s(s(s(s(s(0))))),\nX3090 -> s(s(s(s(s(s(0)))))),\nX3053 -> X3092,\nX3091 -> X3092", fontsize=14, style = filled, fillcolor = lightblue];
639 -> 2541 [arrowhead = none ];
2541 -> 641;

2542 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
640 -> 2542 [arrowhead = none ];
2542 -> 661;

2543 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
641 -> 2543 [arrowhead = none ];
2543 -> 642;

2544 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
642 -> 2544 [arrowhead = none ];
2544 -> 643;

2545 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
643 -> 2545 [arrowhead = none ];
2545 -> 644;

2546 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
643 -> 2546 [arrowhead = none ];
2546 -> 645;

2547 [label="ONLY EVAL with clause\nquot(s(X3127), s(X3128), X3129, X3130) :- quot(X3127, X3128, X3129, X3130).\nand substitutionX3127 -> s(0),\nX3128 -> s(s(s(s(0)))),\nX3129 -> s(s(s(s(s(s(0)))))),\nX3092 -> X3131,\nX3130 -> X3131", fontsize=14, style = filled, fillcolor = lightblue];
644 -> 2547 [arrowhead = none ];
2547 -> 646;

2548 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
645 -> 2548 [arrowhead = none ];
2548 -> 660;

2549 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
646 -> 2549 [arrowhead = none ];
2549 -> 647;

2550 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
647 -> 2550 [arrowhead = none ];
2550 -> 648;

2551 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
648 -> 2551 [arrowhead = none ];
2551 -> 649;

2552 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
648 -> 2552 [arrowhead = none ];
2552 -> 650;

2553 [label="ONLY EVAL with clause\nquot(s(X3162), s(X3163), X3164, X3165) :- quot(X3162, X3163, X3164, X3165).\nand substitutionX3162 -> 0,\nX3163 -> s(s(s(0))),\nX3164 -> s(s(s(s(s(s(0)))))),\nX3131 -> X3166,\nX3165 -> X3166", fontsize=14, style = filled, fillcolor = lightblue];
649 -> 2553 [arrowhead = none ];
2553 -> 651;

2554 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
650 -> 2554 [arrowhead = none ];
2554 -> 659;

2555 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
651 -> 2555 [arrowhead = none ];
2555 -> 652;

2556 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
652 -> 2556 [arrowhead = none ];
2556 -> 653;

2557 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
652 -> 2557 [arrowhead = none ];
2557 -> 654;

2558 [label="ONLY EVAL with clause\nquot(0, s(X3177), s(X3178), 0).\nand substitutionX3177 -> s(s(0)),\nX3178 -> s(s(s(s(s(0))))),\nX3166 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
653 -> 2558 [arrowhead = none ];
2558 -> 655;

2559 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
654 -> 2559 [arrowhead = none ];
2559 -> 657;

2560 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
655 -> 2560 [arrowhead = none ];
2560 -> 656;

2561 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
657 -> 2561 [arrowhead = none ];
2561 -> 658;

2562 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
662 -> 2562 [arrowhead = none ];
2562 -> 664;

2563 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
664 -> 2563 [arrowhead = none ];
2563 -> 665;

2564 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
665 -> 2564 [arrowhead = none ];
2564 -> 666;

2565 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
665 -> 2565 [arrowhead = none ];
2565 -> 667;

2566 [label="ONLY EVAL with clause\nquot(s(X3241), s(X3242), X3243, X3244) :- quot(X3241, X3242, X3243, X3244).\nand substitutionX3241 -> s(s(0)),\nX3242 -> s(s(s(s(0)))),\nX3243 -> s(s(s(s(s(0))))),\nX3206 -> X3245,\nX3244 -> X3245", fontsize=14, style = filled, fillcolor = lightblue];
666 -> 2566 [arrowhead = none ];
2566 -> 668;

2567 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
667 -> 2567 [arrowhead = none ];
2567 -> 688;

2568 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
668 -> 2568 [arrowhead = none ];
2568 -> 669;

2569 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
669 -> 2569 [arrowhead = none ];
2569 -> 670;

2570 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
670 -> 2570 [arrowhead = none ];
2570 -> 671;

2571 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
670 -> 2571 [arrowhead = none ];
2571 -> 672;

2572 [label="ONLY EVAL with clause\nquot(s(X3280), s(X3281), X3282, X3283) :- quot(X3280, X3281, X3282, X3283).\nand substitutionX3280 -> s(0),\nX3281 -> s(s(s(0))),\nX3282 -> s(s(s(s(s(0))))),\nX3245 -> X3284,\nX3283 -> X3284", fontsize=14, style = filled, fillcolor = lightblue];
671 -> 2572 [arrowhead = none ];
2572 -> 673;

2573 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
672 -> 2573 [arrowhead = none ];
2573 -> 687;

2574 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
673 -> 2574 [arrowhead = none ];
2574 -> 674;

2575 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
674 -> 2575 [arrowhead = none ];
2575 -> 675;

2576 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
675 -> 2576 [arrowhead = none ];
2576 -> 676;

2577 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
675 -> 2577 [arrowhead = none ];
2577 -> 677;

2578 [label="ONLY EVAL with clause\nquot(s(X3315), s(X3316), X3317, X3318) :- quot(X3315, X3316, X3317, X3318).\nand substitutionX3315 -> 0,\nX3316 -> s(s(0)),\nX3317 -> s(s(s(s(s(0))))),\nX3284 -> X3319,\nX3318 -> X3319", fontsize=14, style = filled, fillcolor = lightblue];
676 -> 2578 [arrowhead = none ];
2578 -> 678;

2579 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
677 -> 2579 [arrowhead = none ];
2579 -> 686;

2580 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
678 -> 2580 [arrowhead = none ];
2580 -> 679;

2581 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
679 -> 2581 [arrowhead = none ];
2581 -> 680;

2582 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
679 -> 2582 [arrowhead = none ];
2582 -> 681;

2583 [label="ONLY EVAL with clause\nquot(0, s(X3330), s(X3331), 0).\nand substitutionX3330 -> s(0),\nX3331 -> s(s(s(s(0)))),\nX3319 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
680 -> 2583 [arrowhead = none ];
2583 -> 682;

2584 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
681 -> 2584 [arrowhead = none ];
2584 -> 684;

2585 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
682 -> 2585 [arrowhead = none ];
2585 -> 683;

2586 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
684 -> 2586 [arrowhead = none ];
2586 -> 685;

2587 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
689 -> 2587 [arrowhead = none ];
2587 -> 691;

2588 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
691 -> 2588 [arrowhead = none ];
2588 -> 692;

2589 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
692 -> 2589 [arrowhead = none ];
2589 -> 693;

2590 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
692 -> 2590 [arrowhead = none ];
2590 -> 694;

2591 [label="ONLY EVAL with clause\nquot(s(X3394), s(X3395), X3396, X3397) :- quot(X3394, X3395, X3396, X3397).\nand substitutionX3394 -> s(s(0)),\nX3395 -> s(s(s(0))),\nX3396 -> s(s(s(s(0)))),\nX3359 -> X3398,\nX3397 -> X3398", fontsize=14, style = filled, fillcolor = lightblue];
693 -> 2591 [arrowhead = none ];
2591 -> 695;

2592 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
694 -> 2592 [arrowhead = none ];
2592 -> 715;

2593 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
695 -> 2593 [arrowhead = none ];
2593 -> 696;

2594 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
696 -> 2594 [arrowhead = none ];
2594 -> 697;

2595 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
697 -> 2595 [arrowhead = none ];
2595 -> 698;

2596 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
697 -> 2596 [arrowhead = none ];
2596 -> 699;

2597 [label="ONLY EVAL with clause\nquot(s(X3433), s(X3434), X3435, X3436) :- quot(X3433, X3434, X3435, X3436).\nand substitutionX3433 -> s(0),\nX3434 -> s(s(0)),\nX3435 -> s(s(s(s(0)))),\nX3398 -> X3437,\nX3436 -> X3437", fontsize=14, style = filled, fillcolor = lightblue];
698 -> 2597 [arrowhead = none ];
2597 -> 700;

2598 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
699 -> 2598 [arrowhead = none ];
2598 -> 714;

2599 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
700 -> 2599 [arrowhead = none ];
2599 -> 701;

2600 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
701 -> 2600 [arrowhead = none ];
2600 -> 702;

2601 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
702 -> 2601 [arrowhead = none ];
2601 -> 703;

2602 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
702 -> 2602 [arrowhead = none ];
2602 -> 704;

2603 [label="ONLY EVAL with clause\nquot(s(X3468), s(X3469), X3470, X3471) :- quot(X3468, X3469, X3470, X3471).\nand substitutionX3468 -> 0,\nX3469 -> s(0),\nX3470 -> s(s(s(s(0)))),\nX3437 -> X3472,\nX3471 -> X3472", fontsize=14, style = filled, fillcolor = lightblue];
703 -> 2603 [arrowhead = none ];
2603 -> 705;

2604 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
704 -> 2604 [arrowhead = none ];
2604 -> 713;

2605 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
705 -> 2605 [arrowhead = none ];
2605 -> 706;

2606 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
706 -> 2606 [arrowhead = none ];
2606 -> 707;

2607 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
706 -> 2607 [arrowhead = none ];
2607 -> 708;

2608 [label="ONLY EVAL with clause\nquot(0, s(X3483), s(X3484), 0).\nand substitutionX3483 -> 0,\nX3484 -> s(s(s(0))),\nX3472 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
707 -> 2608 [arrowhead = none ];
2608 -> 709;

2609 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
708 -> 2609 [arrowhead = none ];
2609 -> 711;

2610 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
709 -> 2610 [arrowhead = none ];
2610 -> 710;

2611 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
711 -> 2611 [arrowhead = none ];
2611 -> 712;

2612 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
716 -> 2612 [arrowhead = none ];
2612 -> 718;

2613 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
718 -> 2613 [arrowhead = none ];
2613 -> 719;

2614 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
719 -> 2614 [arrowhead = none ];
2614 -> 720;

2615 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
719 -> 2615 [arrowhead = none ];
2615 -> 721;

2616 [label="ONLY EVAL with clause\nquot(s(X3547), s(X3548), X3549, X3550) :- quot(X3547, X3548, X3549, X3550).\nand substitutionX3547 -> s(s(0)),\nX3548 -> s(s(0)),\nX3549 -> s(s(s(0))),\nX3512 -> X3551,\nX3550 -> X3551", fontsize=14, style = filled, fillcolor = lightblue];
720 -> 2616 [arrowhead = none ];
2616 -> 722;

2617 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
721 -> 2617 [arrowhead = none ];
2617 -> 739;

2618 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
722 -> 2618 [arrowhead = none ];
2618 -> 723;

2619 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
723 -> 2619 [arrowhead = none ];
2619 -> 724;

2620 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
724 -> 2620 [arrowhead = none ];
2620 -> 725;

2621 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
724 -> 2621 [arrowhead = none ];
2621 -> 726;

2622 [label="ONLY EVAL with clause\nquot(s(X3586), s(X3587), X3588, X3589) :- quot(X3586, X3587, X3588, X3589).\nand substitutionX3586 -> s(0),\nX3587 -> s(0),\nX3588 -> s(s(s(0))),\nX3551 -> X3590,\nX3589 -> X3590", fontsize=14, style = filled, fillcolor = lightblue];
725 -> 2622 [arrowhead = none ];
2622 -> 727;

2623 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
726 -> 2623 [arrowhead = none ];
2623 -> 738;

2624 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
727 -> 2624 [arrowhead = none ];
2624 -> 728;

2625 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
728 -> 2625 [arrowhead = none ];
2625 -> 729;

2626 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
729 -> 2626 [arrowhead = none ];
2626 -> 730;

2627 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
729 -> 2627 [arrowhead = none ];
2627 -> 731;

2628 [label="ONLY EVAL with clause\nquot(s(X3625), s(X3626), X3627, X3628) :- quot(X3625, X3626, X3627, X3628).\nand substitutionX3625 -> 0,\nX3626 -> 0,\nX3627 -> s(s(s(0))),\nX3590 -> X3629,\nX3628 -> X3629", fontsize=14, style = filled, fillcolor = lightblue];
730 -> 2628 [arrowhead = none ];
2628 -> 732;

2629 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
731 -> 2629 [arrowhead = none ];
2629 -> 737;

2630 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
732 -> 2630 [arrowhead = none ];
2630 -> 733;

2631 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
733 -> 2631 [arrowhead = none ];
2631 -> 734;

2632 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
734 -> 2632 [arrowhead = none ];
2632 -> 735;

2633 [label="ONLY EVAL with clause\nquot(X3650, 0, s(X3651), s(X3652)) :- quot(X3650, s(X3651), s(X3651), X3652).\nand substitutionX3650 -> 0,\nX3651 -> s(s(0)),\nX3652 -> X3653,\nX3629 -> s(X3653)", fontsize=14, style = filled, fillcolor = lightblue];
735 -> 2633 [arrowhead = none ];
2633 -> 736;

2634 [label="INSTANCE with matching:\nX2766 -> X3653", fontsize=14, style = filled, fillcolor = lightgrey];
736 -> 2634 [arrowhead = none , style=dashed];
2634 -> 584[style=dashed];

2635 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
740 -> 2635 [arrowhead = none ];
2635 -> 742;

2636 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
742 -> 2636 [arrowhead = none ];
2636 -> 743;

2637 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
743 -> 2637 [arrowhead = none ];
2637 -> 744;

2638 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
743 -> 2638 [arrowhead = none ];
2638 -> 745;

2639 [label="ONLY EVAL with clause\nquot(s(X3711), s(X3712), X3713, X3714) :- quot(X3711, X3712, X3713, X3714).\nand substitutionX3711 -> s(s(0)),\nX3712 -> s(0),\nX3713 -> s(s(0)),\nX3676 -> X3715,\nX3714 -> X3715", fontsize=14, style = filled, fillcolor = lightblue];
744 -> 2639 [arrowhead = none ];
2639 -> 746;

2640 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
745 -> 2640 [arrowhead = none ];
2640 -> 757;

2641 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
746 -> 2641 [arrowhead = none ];
2641 -> 747;

2642 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
747 -> 2642 [arrowhead = none ];
2642 -> 748;

2643 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
748 -> 2643 [arrowhead = none ];
2643 -> 749;

2644 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
748 -> 2644 [arrowhead = none ];
2644 -> 750;

2645 [label="ONLY EVAL with clause\nquot(s(X3750), s(X3751), X3752, X3753) :- quot(X3750, X3751, X3752, X3753).\nand substitutionX3750 -> s(0),\nX3751 -> 0,\nX3752 -> s(s(0)),\nX3715 -> X3754,\nX3753 -> X3754", fontsize=14, style = filled, fillcolor = lightblue];
749 -> 2645 [arrowhead = none ];
2645 -> 751;

2646 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
750 -> 2646 [arrowhead = none ];
2646 -> 756;

2647 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
751 -> 2647 [arrowhead = none ];
2647 -> 752;

2648 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
752 -> 2648 [arrowhead = none ];
2648 -> 753;

2649 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
753 -> 2649 [arrowhead = none ];
2649 -> 754;

2650 [label="ONLY EVAL with clause\nquot(X3777, 0, s(X3778), s(X3779)) :- quot(X3777, s(X3778), s(X3778), X3779).\nand substitutionX3777 -> s(0),\nX3778 -> s(0),\nX3779 -> X3780,\nX3754 -> s(X3780)", fontsize=14, style = filled, fillcolor = lightblue];
754 -> 2650 [arrowhead = none ];
2650 -> 755;

2651 [label="INSTANCE with matching:\nX822 -> X3780", fontsize=14, style = filled, fillcolor = lightgrey];
755 -> 2651 [arrowhead = none , style=dashed];
2651 -> 173[style=dashed];

2652 [label="INSTANCE with matching:\nT22 -> T432\nT20 -> T430\nX35 -> X2296", fontsize=14, style = filled, fillcolor = lightgrey];
760 -> 2652 [arrowhead = none , style=dashed];
2652 -> 190[style=dashed];

2653 [label="INSTANCE with matching:\nT20 -> s(s(T430))\nT157 -> T573", fontsize=14, style = filled, fillcolor = lightgrey];
761 -> 2653 [arrowhead = none , style=dashed];
2653 -> 191[style=dashed];

2654 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
762 -> 2654 [arrowhead = none ];
2654 -> 763;

2655 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
762 -> 2655 [arrowhead = none ];
2655 -> 764;

2656 [label="EVAL with clause\npr(X3809, s(0)).\nand substitutionT424 -> 0,\nX3809 -> s(s(s(s(s(0))))),\nT584 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
763 -> 2656 [arrowhead = none ];
2656 -> 765;

2657 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
763 -> 2657 [arrowhead = none ];
2657 -> 766;

2658 [label="EVAL with clause\npr(X3814, s(s(X3815))) :- ','(not_divides(s(s(X3815)), X3814), pr(X3814, s(X3815))).\nand substitutionT424 -> s(T590),\nX3814 -> s(s(s(s(s(s(T590)))))),\nX3815 -> T590,\nT589 -> s(T590)", fontsize=14, style = filled, fillcolor = lightblue];
764 -> 2658 [arrowhead = none ];
2658 -> 768;

2659 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
764 -> 2659 [arrowhead = none ];
2659 -> 769;

2660 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
765 -> 2660 [arrowhead = none ];
2660 -> 767;

2661 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
768 -> 2661 [arrowhead = none ];
2661 -> 770;

2662 [label="SPLIT 2\nnew knowledge:\nT590 is ground", fontsize=14, style = filled, fillcolor = violet];
768 -> 2662 [arrowhead = none ];
2662 -> 771;

2663 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
770 -> 2663 [arrowhead = none ];
2663 -> 772;

2664 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
771 -> 2664 [arrowhead = none ];
2664 -> 1064;

2665 [label="ONLY EVAL with clause\nnot_divides(X3834, X3835) :- ','(div(X3835, X3834, X3836), ','(times(X3836, X3834, X3837), neq(X3835, X3837))).\nand substitutionT590 -> T596,\nX3834 -> s(s(T596)),\nX3835 -> s(s(s(s(s(s(T596))))))", fontsize=14, style = filled, fillcolor = lightblue];
772 -> 2665 [arrowhead = none ];
2665 -> 773;

2666 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
773 -> 2666 [arrowhead = none ];
2666 -> 774;

2667 [label="SPLIT 2\nnew knowledge:\nT596 is ground\nT598 is ground\nreplacements:X3836 -> T598", fontsize=14, style = filled, fillcolor = violet];
773 -> 2667 [arrowhead = none ];
2667 -> 775;

2668 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
774 -> 2668 [arrowhead = none ];
2668 -> 776;

2669 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
775 -> 2669 [arrowhead = none ];
2669 -> 1062;

2670 [label="SPLIT 2\nnew knowledge:\nT598 is ground\nT596 is ground\nT744 is ground\nreplacements:X3837 -> T744", fontsize=14, style = filled, fillcolor = violet];
775 -> 2670 [arrowhead = none ];
2670 -> 1063;

2671 [label="ONLY EVAL with clause\ndiv(X3858, X3859, X3860) :- quot(X3858, X3859, X3859, X3860).\nand substitutionT596 -> T602,\nX3858 -> s(s(s(s(s(s(T602)))))),\nX3859 -> s(s(T602)),\nX3836 -> X3861,\nX3860 -> X3861", fontsize=14, style = filled, fillcolor = lightblue];
776 -> 2671 [arrowhead = none ];
2671 -> 777;

2672 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
777 -> 2672 [arrowhead = none ];
2672 -> 778;

2673 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
778 -> 2673 [arrowhead = none ];
2673 -> 779;

2674 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
779 -> 2674 [arrowhead = none ];
2674 -> 780;

2675 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
779 -> 2675 [arrowhead = none ];
2675 -> 781;

2676 [label="ONLY EVAL with clause\nquot(s(X3896), s(X3897), X3898, X3899) :- quot(X3896, X3897, X3898, X3899).\nand substitutionT602 -> T607,\nX3896 -> s(s(s(s(s(T607))))),\nX3897 -> s(T607),\nX3898 -> s(s(T607)),\nX3861 -> X3900,\nX3899 -> X3900", fontsize=14, style = filled, fillcolor = lightblue];
780 -> 2676 [arrowhead = none ];
2676 -> 782;

2677 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
781 -> 2677 [arrowhead = none ];
2677 -> 1061;

2678 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
782 -> 2678 [arrowhead = none ];
2678 -> 783;

2679 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
783 -> 2679 [arrowhead = none ];
2679 -> 784;

2680 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
784 -> 2680 [arrowhead = none ];
2680 -> 785;

2681 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
784 -> 2681 [arrowhead = none ];
2681 -> 786;

2682 [label="ONLY EVAL with clause\nquot(s(X3935), s(X3936), X3937, X3938) :- quot(X3935, X3936, X3937, X3938).\nand substitutionT607 -> T612,\nX3935 -> s(s(s(s(T612)))),\nX3936 -> T612,\nX3937 -> s(s(T612)),\nX3900 -> X3939,\nX3938 -> X3939", fontsize=14, style = filled, fillcolor = lightblue];
785 -> 2682 [arrowhead = none ];
2682 -> 787;

2683 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
786 -> 2683 [arrowhead = none ];
2683 -> 1060;

2684 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
787 -> 2684 [arrowhead = none ];
2684 -> 788;

2685 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
788 -> 2685 [arrowhead = none ];
2685 -> 789;

2686 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
789 -> 2686 [arrowhead = none ];
2686 -> 790;

2687 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
789 -> 2687 [arrowhead = none ];
2687 -> 791;

2688 [label="EVAL with clause\nquot(s(X3966), s(X3967), X3968, X3969) :- quot(X3966, X3967, X3968, X3969).\nand substitutionT612 -> s(T622),\nX3966 -> s(s(s(s(T622)))),\nX3967 -> T622,\nT621 -> s(T622),\nX3968 -> s(s(s(T622))),\nX3939 -> X3970,\nX3969 -> X3970", fontsize=14, style = filled, fillcolor = lightblue];
790 -> 2688 [arrowhead = none ];
2688 -> 792;

2689 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
790 -> 2689 [arrowhead = none ];
2689 -> 793;

2690 [label="EVAL with clause\nquot(X5444, 0, s(X5445), s(X5446)) :- quot(X5444, s(X5445), s(X5445), X5446).\nand substitutionT612 -> 0,\nX5444 -> s(s(s(s(0)))),\nT739 -> 0,\nX5445 -> s(0),\nX5446 -> X5447,\nX3939 -> s(X5447)", fontsize=14, style = filled, fillcolor = lightblue];
791 -> 2690 [arrowhead = none ];
2690 -> 1042;

2691 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
791 -> 2691 [arrowhead = none ];
2691 -> 1043;

2692 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
792 -> 2692 [arrowhead = none ];
2692 -> 794;

2693 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
794 -> 2693 [arrowhead = none ];
2693 -> 795;

2694 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
795 -> 2694 [arrowhead = none ];
2694 -> 796;

2695 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
795 -> 2695 [arrowhead = none ];
2695 -> 797;

2696 [label="EVAL with clause\nquot(s(X3997), s(X3998), X3999, X4000) :- quot(X3997, X3998, X3999, X4000).\nand substitutionT622 -> s(T632),\nX3997 -> s(s(s(s(T632)))),\nX3998 -> T632,\nT631 -> s(T632),\nX3999 -> s(s(s(s(T632)))),\nX3970 -> X4001,\nX4000 -> X4001", fontsize=14, style = filled, fillcolor = lightblue];
796 -> 2696 [arrowhead = none ];
2696 -> 798;

2697 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
796 -> 2697 [arrowhead = none ];
2697 -> 799;

2698 [label="EVAL with clause\nquot(X5276, 0, s(X5277), s(X5278)) :- quot(X5276, s(X5277), s(X5277), X5278).\nand substitutionT622 -> 0,\nX5276 -> s(s(s(s(0)))),\nT736 -> 0,\nX5277 -> s(s(0)),\nX5278 -> X5279,\nX3970 -> s(X5279)", fontsize=14, style = filled, fillcolor = lightblue];
797 -> 2698 [arrowhead = none ];
2698 -> 1018;

2699 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
797 -> 2699 [arrowhead = none ];
2699 -> 1019;

2700 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
798 -> 2700 [arrowhead = none ];
2700 -> 800;

2701 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
800 -> 2701 [arrowhead = none ];
2701 -> 801;

2702 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
801 -> 2702 [arrowhead = none ];
2702 -> 802;

2703 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
801 -> 2703 [arrowhead = none ];
2703 -> 803;

2704 [label="EVAL with clause\nquot(s(X4028), s(X4029), X4030, X4031) :- quot(X4028, X4029, X4030, X4031).\nand substitutionT632 -> s(T642),\nX4028 -> s(s(s(s(T642)))),\nX4029 -> T642,\nT641 -> s(T642),\nX4030 -> s(s(s(s(s(T642))))),\nX4001 -> X4032,\nX4031 -> X4032", fontsize=14, style = filled, fillcolor = lightblue];
802 -> 2704 [arrowhead = none ];
2704 -> 804;

2705 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
802 -> 2705 [arrowhead = none ];
2705 -> 805;

2706 [label="EVAL with clause\nquot(X5070, 0, s(X5071), s(X5072)) :- quot(X5070, s(X5071), s(X5071), X5072).\nand substitutionT632 -> 0,\nX5070 -> s(s(s(s(0)))),\nT733 -> 0,\nX5071 -> s(s(s(0))),\nX5072 -> X5073,\nX4001 -> s(X5073)", fontsize=14, style = filled, fillcolor = lightblue];
803 -> 2706 [arrowhead = none ];
2706 -> 988;

2707 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
803 -> 2707 [arrowhead = none ];
2707 -> 989;

2708 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
804 -> 2708 [arrowhead = none ];
2708 -> 806;

2709 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
806 -> 2709 [arrowhead = none ];
2709 -> 807;

2710 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
807 -> 2710 [arrowhead = none ];
2710 -> 808;

2711 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
807 -> 2711 [arrowhead = none ];
2711 -> 809;

2712 [label="EVAL with clause\nquot(s(X4059), s(X4060), X4061, X4062) :- quot(X4059, X4060, X4061, X4062).\nand substitutionT642 -> s(T652),\nX4059 -> s(s(s(s(T652)))),\nX4060 -> T652,\nT651 -> s(T652),\nX4061 -> s(s(s(s(s(s(T652)))))),\nX4032 -> X4063,\nX4062 -> X4063", fontsize=14, style = filled, fillcolor = lightblue];
808 -> 2712 [arrowhead = none ];
2712 -> 810;

2713 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
808 -> 2713 [arrowhead = none ];
2713 -> 811;

2714 [label="EVAL with clause\nquot(X4875, 0, s(X4876), s(X4877)) :- quot(X4875, s(X4876), s(X4876), X4877).\nand substitutionT642 -> 0,\nX4875 -> s(s(s(s(0)))),\nT730 -> 0,\nX4876 -> s(s(s(s(0)))),\nX4877 -> X4878,\nX4032 -> s(X4878)", fontsize=14, style = filled, fillcolor = lightblue];
809 -> 2714 [arrowhead = none ];
2714 -> 955;

2715 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
809 -> 2715 [arrowhead = none ];
2715 -> 956;

2716 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
810 -> 2716 [arrowhead = none ];
2716 -> 812;

2717 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
812 -> 2717 [arrowhead = none ];
2717 -> 813;

2718 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
813 -> 2718 [arrowhead = none ];
2718 -> 814;

2719 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
813 -> 2719 [arrowhead = none ];
2719 -> 815;

2720 [label="EVAL with clause\nquot(s(X4090), s(X4091), X4092, X4093) :- quot(X4090, X4091, X4092, X4093).\nand substitutionT652 -> s(T662),\nX4090 -> s(s(s(s(T662)))),\nX4091 -> T662,\nT661 -> s(T662),\nX4092 -> s(s(s(s(s(s(s(T662))))))),\nX4063 -> X4094,\nX4093 -> X4094", fontsize=14, style = filled, fillcolor = lightblue];
814 -> 2720 [arrowhead = none ];
2720 -> 816;

2721 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
814 -> 2721 [arrowhead = none ];
2721 -> 817;

2722 [label="EVAL with clause\nquot(X4680, 0, s(X4681), s(X4682)) :- quot(X4680, s(X4681), s(X4681), X4682).\nand substitutionT652 -> 0,\nX4680 -> s(s(s(s(0)))),\nT727 -> 0,\nX4681 -> s(s(s(s(s(0))))),\nX4682 -> X4683,\nX4063 -> s(X4683)", fontsize=14, style = filled, fillcolor = lightblue];
815 -> 2722 [arrowhead = none ];
2722 -> 922;

2723 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
815 -> 2723 [arrowhead = none ];
2723 -> 923;

2724 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
816 -> 2724 [arrowhead = none ];
2724 -> 818;

2725 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
818 -> 2725 [arrowhead = none ];
2725 -> 819;

2726 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
819 -> 2726 [arrowhead = none ];
2726 -> 820;

2727 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
819 -> 2727 [arrowhead = none ];
2727 -> 821;

2728 [label="EVAL with clause\nquot(s(X4121), s(X4122), X4123, X4124) :- quot(X4121, X4122, X4123, X4124).\nand substitutionT662 -> s(T672),\nX4121 -> s(s(s(s(T672)))),\nX4122 -> T672,\nT671 -> s(T672),\nX4123 -> s(s(s(s(s(s(s(s(T672)))))))),\nX4094 -> X4125,\nX4124 -> X4125", fontsize=14, style = filled, fillcolor = lightblue];
820 -> 2728 [arrowhead = none ];
2728 -> 822;

2729 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
820 -> 2729 [arrowhead = none ];
2729 -> 823;

2730 [label="EVAL with clause\nquot(X4485, 0, s(X4486), s(X4487)) :- quot(X4485, s(X4486), s(X4486), X4487).\nand substitutionT662 -> 0,\nX4485 -> s(s(s(s(0)))),\nT724 -> 0,\nX4486 -> s(s(s(s(s(s(0)))))),\nX4487 -> X4488,\nX4094 -> s(X4488)", fontsize=14, style = filled, fillcolor = lightblue];
821 -> 2730 [arrowhead = none ];
2730 -> 889;

2731 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
821 -> 2731 [arrowhead = none ];
2731 -> 890;

2732 [label="GENERALIZATION\nT673 <-- s(s(s(s(s(s(s(T672)))))))\n\nNew Knowledge:\nT673 is ground", fontsize=14, style = filled, fillcolor = violet];
822 -> 2732 [arrowhead = none ];
2732 -> 824;

2733 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
824 -> 2733 [arrowhead = none ];
2733 -> 825;

2734 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
825 -> 2734 [arrowhead = none ];
2734 -> 826;

2735 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
826 -> 2735 [arrowhead = none ];
2735 -> 827;

2736 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
826 -> 2736 [arrowhead = none ];
2736 -> 828;

2737 [label="EVAL with clause\nquot(s(X4156), s(X4157), X4158, X4159) :- quot(X4156, X4157, X4158, X4159).\nand substitutionT672 -> s(T687),\nX4156 -> s(s(s(s(T687)))),\nX4157 -> T687,\nT686 -> s(T687),\nT673 -> T688,\nX4158 -> s(T688),\nX4125 -> X4160,\nX4159 -> X4160", fontsize=14, style = filled, fillcolor = lightblue];
827 -> 2737 [arrowhead = none ];
2737 -> 829;

2738 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
827 -> 2738 [arrowhead = none ];
2738 -> 830;

2739 [label="EVAL with clause\nquot(X4173, 0, s(X4174), s(X4175)) :- quot(X4173, s(X4174), s(X4174), X4175).\nand substitutionT672 -> 0,\nX4173 -> s(s(s(s(0)))),\nT693 -> 0,\nT673 -> T694,\nX4174 -> T694,\nX4175 -> X4176,\nX4125 -> s(X4176)", fontsize=14, style = filled, fillcolor = lightblue];
828 -> 2739 [arrowhead = none ];
2739 -> 831;

2740 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
828 -> 2740 [arrowhead = none ];
2740 -> 832;

2741 [label="INSTANCE with matching:\nT672 -> T687\nT673 -> T688\nX4125 -> X4160", fontsize=14, style = filled, fillcolor = lightgrey];
829 -> 2741 [arrowhead = none , style=dashed];
2741 -> 824[style=dashed];

2742 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
831 -> 2742 [arrowhead = none ];
2742 -> 833;

2743 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
833 -> 2743 [arrowhead = none ];
2743 -> 834;

2744 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
834 -> 2744 [arrowhead = none ];
2744 -> 835;

2745 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
834 -> 2745 [arrowhead = none ];
2745 -> 836;

2746 [label="ONLY EVAL with clause\nquot(s(X4211), s(X4212), X4213, X4214) :- quot(X4211, X4212, X4213, X4214).\nand substitutionX4211 -> s(s(s(0))),\nT694 -> T699,\nX4212 -> T699,\nX4213 -> s(T699),\nX4176 -> X4215,\nX4214 -> X4215", fontsize=14, style = filled, fillcolor = lightblue];
835 -> 2746 [arrowhead = none ];
2746 -> 837;

2747 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
836 -> 2747 [arrowhead = none ];
2747 -> 888;

2748 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
837 -> 2748 [arrowhead = none ];
2748 -> 838;

2749 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
838 -> 2749 [arrowhead = none ];
2749 -> 839;

2750 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
839 -> 2750 [arrowhead = none ];
2750 -> 840;

2751 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
839 -> 2751 [arrowhead = none ];
2751 -> 841;

2752 [label="EVAL with clause\nquot(s(X4242), s(X4243), X4244, X4245) :- quot(X4242, X4243, X4244, X4245).\nand substitutionX4242 -> s(s(0)),\nX4243 -> T704,\nT699 -> s(T704),\nX4244 -> s(s(T704)),\nX4215 -> X4246,\nX4245 -> X4246", fontsize=14, style = filled, fillcolor = lightblue];
840 -> 2752 [arrowhead = none ];
2752 -> 842;

2753 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
840 -> 2753 [arrowhead = none ];
2753 -> 843;

2754 [label="EVAL with clause\nquot(X4398, 0, s(X4399), s(X4400)) :- quot(X4398, s(X4399), s(X4399), X4400).\nand substitutionX4398 -> s(s(s(0))),\nT699 -> 0,\nX4399 -> 0,\nX4400 -> X4401,\nX4215 -> s(X4401)", fontsize=14, style = filled, fillcolor = lightblue];
841 -> 2754 [arrowhead = none ];
2754 -> 876;

2755 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
841 -> 2755 [arrowhead = none ];
2755 -> 877;

2756 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
842 -> 2756 [arrowhead = none ];
2756 -> 844;

2757 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
844 -> 2757 [arrowhead = none ];
2757 -> 845;

2758 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
845 -> 2758 [arrowhead = none ];
2758 -> 846;

2759 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
845 -> 2759 [arrowhead = none ];
2759 -> 847;

2760 [label="EVAL with clause\nquot(s(X4273), s(X4274), X4275, X4276) :- quot(X4273, X4274, X4275, X4276).\nand substitutionX4273 -> s(0),\nX4274 -> T709,\nT704 -> s(T709),\nX4275 -> s(s(s(T709))),\nX4246 -> X4277,\nX4276 -> X4277", fontsize=14, style = filled, fillcolor = lightblue];
846 -> 2760 [arrowhead = none ];
2760 -> 848;

2761 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
846 -> 2761 [arrowhead = none ];
2761 -> 849;

2762 [label="EVAL with clause\nquot(X4382, 0, s(X4383), s(X4384)) :- quot(X4382, s(X4383), s(X4383), X4384).\nand substitutionX4382 -> s(s(0)),\nT704 -> 0,\nX4383 -> s(0),\nX4384 -> X4385,\nX4246 -> s(X4385)", fontsize=14, style = filled, fillcolor = lightblue];
847 -> 2762 [arrowhead = none ];
2762 -> 874;

2763 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
847 -> 2763 [arrowhead = none ];
2763 -> 875;

2764 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
848 -> 2764 [arrowhead = none ];
2764 -> 850;

2765 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
850 -> 2765 [arrowhead = none ];
2765 -> 851;

2766 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
851 -> 2766 [arrowhead = none ];
2766 -> 852;

2767 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
851 -> 2767 [arrowhead = none ];
2767 -> 853;

2768 [label="EVAL with clause\nquot(s(X4304), s(X4305), X4306, X4307) :- quot(X4304, X4305, X4306, X4307).\nand substitutionX4304 -> 0,\nX4305 -> T714,\nT709 -> s(T714),\nX4306 -> s(s(s(s(T714)))),\nX4277 -> X4308,\nX4307 -> X4308", fontsize=14, style = filled, fillcolor = lightblue];
852 -> 2768 [arrowhead = none ];
2768 -> 854;

2769 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
852 -> 2769 [arrowhead = none ];
2769 -> 855;

2770 [label="EVAL with clause\nquot(X4366, 0, s(X4367), s(X4368)) :- quot(X4366, s(X4367), s(X4367), X4368).\nand substitutionX4366 -> s(0),\nT709 -> 0,\nX4367 -> s(s(0)),\nX4368 -> X4369,\nX4277 -> s(X4369)", fontsize=14, style = filled, fillcolor = lightblue];
853 -> 2770 [arrowhead = none ];
2770 -> 872;

2771 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
853 -> 2771 [arrowhead = none ];
2771 -> 873;

2772 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
854 -> 2772 [arrowhead = none ];
2772 -> 856;

2773 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
856 -> 2773 [arrowhead = none ];
2773 -> 857;

2774 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
856 -> 2774 [arrowhead = none ];
2774 -> 858;

2775 [label="EVAL with clause\nquot(0, s(X4321), s(X4322), 0).\nand substitutionX4321 -> T721,\nT714 -> s(T721),\nX4322 -> s(s(s(s(T721)))),\nX4308 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
857 -> 2775 [arrowhead = none ];
2775 -> 859;

2776 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
857 -> 2776 [arrowhead = none ];
2776 -> 860;

2777 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
858 -> 2777 [arrowhead = none ];
2777 -> 862;

2778 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
859 -> 2778 [arrowhead = none ];
2778 -> 861;

2779 [label="EVAL with clause\nquot(X4335, 0, s(X4336), s(X4337)) :- quot(X4335, s(X4336), s(X4336), X4337).\nand substitutionX4335 -> 0,\nT714 -> 0,\nX4336 -> s(s(s(0))),\nX4337 -> X4338,\nX4308 -> s(X4338)", fontsize=14, style = filled, fillcolor = lightblue];
862 -> 2779 [arrowhead = none ];
2779 -> 863;

2780 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
862 -> 2780 [arrowhead = none ];
2780 -> 864;

2781 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
863 -> 2781 [arrowhead = none ];
2781 -> 865;

2782 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
865 -> 2782 [arrowhead = none ];
2782 -> 866;

2783 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
865 -> 2783 [arrowhead = none ];
2783 -> 867;

2784 [label="ONLY EVAL with clause\nquot(0, s(X4349), s(X4350), 0).\nand substitutionX4349 -> s(s(s(0))),\nX4350 -> s(s(s(0))),\nX4338 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
866 -> 2784 [arrowhead = none ];
2784 -> 868;

2785 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
867 -> 2785 [arrowhead = none ];
2785 -> 870;

2786 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
868 -> 2786 [arrowhead = none ];
2786 -> 869;

2787 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
870 -> 2787 [arrowhead = none ];
2787 -> 871;

2788 [label="INSTANCE with matching:\nX753 -> X4369", fontsize=14, style = filled, fillcolor = lightgrey];
872 -> 2788 [arrowhead = none , style=dashed];
2788 -> 158[style=dashed];

2789 [label="INSTANCE with matching:\nX2139 -> X4385", fontsize=14, style = filled, fillcolor = lightgrey];
874 -> 2789 [arrowhead = none , style=dashed];
2789 -> 467[style=dashed];

2790 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
876 -> 2790 [arrowhead = none ];
2790 -> 878;

2791 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
878 -> 2791 [arrowhead = none ];
2791 -> 879;

2792 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
879 -> 2792 [arrowhead = none ];
2792 -> 880;

2793 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
879 -> 2793 [arrowhead = none ];
2793 -> 881;

2794 [label="ONLY EVAL with clause\nquot(s(X4436), s(X4437), X4438, X4439) :- quot(X4436, X4437, X4438, X4439).\nand substitutionX4436 -> s(s(0)),\nX4437 -> 0,\nX4438 -> s(0),\nX4401 -> X4440,\nX4439 -> X4440", fontsize=14, style = filled, fillcolor = lightblue];
880 -> 2794 [arrowhead = none ];
2794 -> 882;

2795 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
881 -> 2795 [arrowhead = none ];
2795 -> 887;

2796 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
882 -> 2796 [arrowhead = none ];
2796 -> 883;

2797 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
883 -> 2797 [arrowhead = none ];
2797 -> 884;

2798 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
884 -> 2798 [arrowhead = none ];
2798 -> 885;

2799 [label="ONLY EVAL with clause\nquot(X4463, 0, s(X4464), s(X4465)) :- quot(X4463, s(X4464), s(X4464), X4465).\nand substitutionX4463 -> s(s(0)),\nX4464 -> 0,\nX4465 -> X4466,\nX4440 -> s(X4466)", fontsize=14, style = filled, fillcolor = lightblue];
885 -> 2799 [arrowhead = none ];
2799 -> 886;

2800 [label="INSTANCE with matching:\nX2813 -> X4466", fontsize=14, style = filled, fillcolor = lightgrey];
886 -> 2800 [arrowhead = none , style=dashed];
2800 -> 595[style=dashed];

2801 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
889 -> 2801 [arrowhead = none ];
2801 -> 891;

2802 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
891 -> 2802 [arrowhead = none ];
2802 -> 892;

2803 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
892 -> 2803 [arrowhead = none ];
2803 -> 893;

2804 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
892 -> 2804 [arrowhead = none ];
2804 -> 894;

2805 [label="ONLY EVAL with clause\nquot(s(X4523), s(X4524), X4525, X4526) :- quot(X4523, X4524, X4525, X4526).\nand substitutionX4523 -> s(s(s(0))),\nX4524 -> s(s(s(s(s(s(0)))))),\nX4525 -> s(s(s(s(s(s(s(0))))))),\nX4488 -> X4527,\nX4526 -> X4527", fontsize=14, style = filled, fillcolor = lightblue];
893 -> 2805 [arrowhead = none ];
2805 -> 895;

2806 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
894 -> 2806 [arrowhead = none ];
2806 -> 921;

2807 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
895 -> 2807 [arrowhead = none ];
2807 -> 896;

2808 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
896 -> 2808 [arrowhead = none ];
2808 -> 897;

2809 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
897 -> 2809 [arrowhead = none ];
2809 -> 898;

2810 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
897 -> 2810 [arrowhead = none ];
2810 -> 899;

2811 [label="ONLY EVAL with clause\nquot(s(X4562), s(X4563), X4564, X4565) :- quot(X4562, X4563, X4564, X4565).\nand substitutionX4562 -> s(s(0)),\nX4563 -> s(s(s(s(s(0))))),\nX4564 -> s(s(s(s(s(s(s(0))))))),\nX4527 -> X4566,\nX4565 -> X4566", fontsize=14, style = filled, fillcolor = lightblue];
898 -> 2811 [arrowhead = none ];
2811 -> 900;

2812 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
899 -> 2812 [arrowhead = none ];
2812 -> 920;

2813 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
900 -> 2813 [arrowhead = none ];
2813 -> 901;

2814 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
901 -> 2814 [arrowhead = none ];
2814 -> 902;

2815 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
902 -> 2815 [arrowhead = none ];
2815 -> 903;

2816 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
902 -> 2816 [arrowhead = none ];
2816 -> 904;

2817 [label="ONLY EVAL with clause\nquot(s(X4601), s(X4602), X4603, X4604) :- quot(X4601, X4602, X4603, X4604).\nand substitutionX4601 -> s(0),\nX4602 -> s(s(s(s(0)))),\nX4603 -> s(s(s(s(s(s(s(0))))))),\nX4566 -> X4605,\nX4604 -> X4605", fontsize=14, style = filled, fillcolor = lightblue];
903 -> 2817 [arrowhead = none ];
2817 -> 905;

2818 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
904 -> 2818 [arrowhead = none ];
2818 -> 919;

2819 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
905 -> 2819 [arrowhead = none ];
2819 -> 906;

2820 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
906 -> 2820 [arrowhead = none ];
2820 -> 907;

2821 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
907 -> 2821 [arrowhead = none ];
2821 -> 908;

2822 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
907 -> 2822 [arrowhead = none ];
2822 -> 909;

2823 [label="ONLY EVAL with clause\nquot(s(X4636), s(X4637), X4638, X4639) :- quot(X4636, X4637, X4638, X4639).\nand substitutionX4636 -> 0,\nX4637 -> s(s(s(0))),\nX4638 -> s(s(s(s(s(s(s(0))))))),\nX4605 -> X4640,\nX4639 -> X4640", fontsize=14, style = filled, fillcolor = lightblue];
908 -> 2823 [arrowhead = none ];
2823 -> 910;

2824 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
909 -> 2824 [arrowhead = none ];
2824 -> 918;

2825 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
910 -> 2825 [arrowhead = none ];
2825 -> 911;

2826 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
911 -> 2826 [arrowhead = none ];
2826 -> 912;

2827 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
911 -> 2827 [arrowhead = none ];
2827 -> 913;

2828 [label="ONLY EVAL with clause\nquot(0, s(X4651), s(X4652), 0).\nand substitutionX4651 -> s(s(0)),\nX4652 -> s(s(s(s(s(s(0)))))),\nX4640 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
912 -> 2828 [arrowhead = none ];
2828 -> 914;

2829 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
913 -> 2829 [arrowhead = none ];
2829 -> 916;

2830 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
914 -> 2830 [arrowhead = none ];
2830 -> 915;

2831 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
916 -> 2831 [arrowhead = none ];
2831 -> 917;

2832 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
922 -> 2832 [arrowhead = none ];
2832 -> 924;

2833 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
924 -> 2833 [arrowhead = none ];
2833 -> 925;

2834 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
925 -> 2834 [arrowhead = none ];
2834 -> 926;

2835 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
925 -> 2835 [arrowhead = none ];
2835 -> 927;

2836 [label="ONLY EVAL with clause\nquot(s(X4718), s(X4719), X4720, X4721) :- quot(X4718, X4719, X4720, X4721).\nand substitutionX4718 -> s(s(s(0))),\nX4719 -> s(s(s(s(s(0))))),\nX4720 -> s(s(s(s(s(s(0)))))),\nX4683 -> X4722,\nX4721 -> X4722", fontsize=14, style = filled, fillcolor = lightblue];
926 -> 2836 [arrowhead = none ];
2836 -> 928;

2837 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
927 -> 2837 [arrowhead = none ];
2837 -> 954;

2838 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
928 -> 2838 [arrowhead = none ];
2838 -> 929;

2839 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
929 -> 2839 [arrowhead = none ];
2839 -> 930;

2840 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
930 -> 2840 [arrowhead = none ];
2840 -> 931;

2841 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
930 -> 2841 [arrowhead = none ];
2841 -> 932;

2842 [label="ONLY EVAL with clause\nquot(s(X4757), s(X4758), X4759, X4760) :- quot(X4757, X4758, X4759, X4760).\nand substitutionX4757 -> s(s(0)),\nX4758 -> s(s(s(s(0)))),\nX4759 -> s(s(s(s(s(s(0)))))),\nX4722 -> X4761,\nX4760 -> X4761", fontsize=14, style = filled, fillcolor = lightblue];
931 -> 2842 [arrowhead = none ];
2842 -> 933;

2843 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
932 -> 2843 [arrowhead = none ];
2843 -> 953;

2844 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
933 -> 2844 [arrowhead = none ];
2844 -> 934;

2845 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
934 -> 2845 [arrowhead = none ];
2845 -> 935;

2846 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
935 -> 2846 [arrowhead = none ];
2846 -> 936;

2847 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
935 -> 2847 [arrowhead = none ];
2847 -> 937;

2848 [label="ONLY EVAL with clause\nquot(s(X4796), s(X4797), X4798, X4799) :- quot(X4796, X4797, X4798, X4799).\nand substitutionX4796 -> s(0),\nX4797 -> s(s(s(0))),\nX4798 -> s(s(s(s(s(s(0)))))),\nX4761 -> X4800,\nX4799 -> X4800", fontsize=14, style = filled, fillcolor = lightblue];
936 -> 2848 [arrowhead = none ];
2848 -> 938;

2849 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
937 -> 2849 [arrowhead = none ];
2849 -> 952;

2850 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
938 -> 2850 [arrowhead = none ];
2850 -> 939;

2851 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
939 -> 2851 [arrowhead = none ];
2851 -> 940;

2852 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
940 -> 2852 [arrowhead = none ];
2852 -> 941;

2853 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
940 -> 2853 [arrowhead = none ];
2853 -> 942;

2854 [label="ONLY EVAL with clause\nquot(s(X4831), s(X4832), X4833, X4834) :- quot(X4831, X4832, X4833, X4834).\nand substitutionX4831 -> 0,\nX4832 -> s(s(0)),\nX4833 -> s(s(s(s(s(s(0)))))),\nX4800 -> X4835,\nX4834 -> X4835", fontsize=14, style = filled, fillcolor = lightblue];
941 -> 2854 [arrowhead = none ];
2854 -> 943;

2855 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
942 -> 2855 [arrowhead = none ];
2855 -> 951;

2856 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
943 -> 2856 [arrowhead = none ];
2856 -> 944;

2857 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
944 -> 2857 [arrowhead = none ];
2857 -> 945;

2858 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
944 -> 2858 [arrowhead = none ];
2858 -> 946;

2859 [label="ONLY EVAL with clause\nquot(0, s(X4846), s(X4847), 0).\nand substitutionX4846 -> s(0),\nX4847 -> s(s(s(s(s(0))))),\nX4835 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
945 -> 2859 [arrowhead = none ];
2859 -> 947;

2860 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
946 -> 2860 [arrowhead = none ];
2860 -> 949;

2861 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
947 -> 2861 [arrowhead = none ];
2861 -> 948;

2862 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
949 -> 2862 [arrowhead = none ];
2862 -> 950;

2863 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
955 -> 2863 [arrowhead = none ];
2863 -> 957;

2864 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
957 -> 2864 [arrowhead = none ];
2864 -> 958;

2865 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
958 -> 2865 [arrowhead = none ];
2865 -> 959;

2866 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
958 -> 2866 [arrowhead = none ];
2866 -> 960;

2867 [label="ONLY EVAL with clause\nquot(s(X4913), s(X4914), X4915, X4916) :- quot(X4913, X4914, X4915, X4916).\nand substitutionX4913 -> s(s(s(0))),\nX4914 -> s(s(s(s(0)))),\nX4915 -> s(s(s(s(s(0))))),\nX4878 -> X4917,\nX4916 -> X4917", fontsize=14, style = filled, fillcolor = lightblue];
959 -> 2867 [arrowhead = none ];
2867 -> 961;

2868 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
960 -> 2868 [arrowhead = none ];
2868 -> 987;

2869 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
961 -> 2869 [arrowhead = none ];
2869 -> 962;

2870 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
962 -> 2870 [arrowhead = none ];
2870 -> 963;

2871 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
963 -> 2871 [arrowhead = none ];
2871 -> 964;

2872 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
963 -> 2872 [arrowhead = none ];
2872 -> 965;

2873 [label="ONLY EVAL with clause\nquot(s(X4952), s(X4953), X4954, X4955) :- quot(X4952, X4953, X4954, X4955).\nand substitutionX4952 -> s(s(0)),\nX4953 -> s(s(s(0))),\nX4954 -> s(s(s(s(s(0))))),\nX4917 -> X4956,\nX4955 -> X4956", fontsize=14, style = filled, fillcolor = lightblue];
964 -> 2873 [arrowhead = none ];
2873 -> 966;

2874 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
965 -> 2874 [arrowhead = none ];
2874 -> 986;

2875 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
966 -> 2875 [arrowhead = none ];
2875 -> 967;

2876 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
967 -> 2876 [arrowhead = none ];
2876 -> 968;

2877 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
968 -> 2877 [arrowhead = none ];
2877 -> 969;

2878 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
968 -> 2878 [arrowhead = none ];
2878 -> 970;

2879 [label="ONLY EVAL with clause\nquot(s(X4991), s(X4992), X4993, X4994) :- quot(X4991, X4992, X4993, X4994).\nand substitutionX4991 -> s(0),\nX4992 -> s(s(0)),\nX4993 -> s(s(s(s(s(0))))),\nX4956 -> X4995,\nX4994 -> X4995", fontsize=14, style = filled, fillcolor = lightblue];
969 -> 2879 [arrowhead = none ];
2879 -> 971;

2880 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
970 -> 2880 [arrowhead = none ];
2880 -> 985;

2881 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
971 -> 2881 [arrowhead = none ];
2881 -> 972;

2882 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
972 -> 2882 [arrowhead = none ];
2882 -> 973;

2883 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
973 -> 2883 [arrowhead = none ];
2883 -> 974;

2884 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
973 -> 2884 [arrowhead = none ];
2884 -> 975;

2885 [label="ONLY EVAL with clause\nquot(s(X5026), s(X5027), X5028, X5029) :- quot(X5026, X5027, X5028, X5029).\nand substitutionX5026 -> 0,\nX5027 -> s(0),\nX5028 -> s(s(s(s(s(0))))),\nX4995 -> X5030,\nX5029 -> X5030", fontsize=14, style = filled, fillcolor = lightblue];
974 -> 2885 [arrowhead = none ];
2885 -> 976;

2886 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
975 -> 2886 [arrowhead = none ];
2886 -> 984;

2887 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
976 -> 2887 [arrowhead = none ];
2887 -> 977;

2888 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
977 -> 2888 [arrowhead = none ];
2888 -> 978;

2889 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
977 -> 2889 [arrowhead = none ];
2889 -> 979;

2890 [label="ONLY EVAL with clause\nquot(0, s(X5041), s(X5042), 0).\nand substitutionX5041 -> 0,\nX5042 -> s(s(s(s(0)))),\nX5030 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
978 -> 2890 [arrowhead = none ];
2890 -> 980;

2891 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
979 -> 2891 [arrowhead = none ];
2891 -> 982;

2892 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
980 -> 2892 [arrowhead = none ];
2892 -> 981;

2893 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
982 -> 2893 [arrowhead = none ];
2893 -> 983;

2894 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
988 -> 2894 [arrowhead = none ];
2894 -> 990;

2895 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
990 -> 2895 [arrowhead = none ];
2895 -> 991;

2896 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
991 -> 2896 [arrowhead = none ];
2896 -> 992;

2897 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
991 -> 2897 [arrowhead = none ];
2897 -> 993;

2898 [label="ONLY EVAL with clause\nquot(s(X5108), s(X5109), X5110, X5111) :- quot(X5108, X5109, X5110, X5111).\nand substitutionX5108 -> s(s(s(0))),\nX5109 -> s(s(s(0))),\nX5110 -> s(s(s(s(0)))),\nX5073 -> X5112,\nX5111 -> X5112", fontsize=14, style = filled, fillcolor = lightblue];
992 -> 2898 [arrowhead = none ];
2898 -> 994;

2899 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
993 -> 2899 [arrowhead = none ];
2899 -> 1017;

2900 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
994 -> 2900 [arrowhead = none ];
2900 -> 995;

2901 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
995 -> 2901 [arrowhead = none ];
2901 -> 996;

2902 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
996 -> 2902 [arrowhead = none ];
2902 -> 997;

2903 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
996 -> 2903 [arrowhead = none ];
2903 -> 998;

2904 [label="ONLY EVAL with clause\nquot(s(X5147), s(X5148), X5149, X5150) :- quot(X5147, X5148, X5149, X5150).\nand substitutionX5147 -> s(s(0)),\nX5148 -> s(s(0)),\nX5149 -> s(s(s(s(0)))),\nX5112 -> X5151,\nX5150 -> X5151", fontsize=14, style = filled, fillcolor = lightblue];
997 -> 2904 [arrowhead = none ];
2904 -> 999;

2905 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
998 -> 2905 [arrowhead = none ];
2905 -> 1016;

2906 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
999 -> 2906 [arrowhead = none ];
2906 -> 1000;

2907 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1000 -> 2907 [arrowhead = none ];
2907 -> 1001;

2908 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1001 -> 2908 [arrowhead = none ];
2908 -> 1002;

2909 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1001 -> 2909 [arrowhead = none ];
2909 -> 1003;

2910 [label="ONLY EVAL with clause\nquot(s(X5186), s(X5187), X5188, X5189) :- quot(X5186, X5187, X5188, X5189).\nand substitutionX5186 -> s(0),\nX5187 -> s(0),\nX5188 -> s(s(s(s(0)))),\nX5151 -> X5190,\nX5189 -> X5190", fontsize=14, style = filled, fillcolor = lightblue];
1002 -> 2910 [arrowhead = none ];
2910 -> 1004;

2911 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1003 -> 2911 [arrowhead = none ];
2911 -> 1015;

2912 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1004 -> 2912 [arrowhead = none ];
2912 -> 1005;

2913 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1005 -> 2913 [arrowhead = none ];
2913 -> 1006;

2914 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1006 -> 2914 [arrowhead = none ];
2914 -> 1007;

2915 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1006 -> 2915 [arrowhead = none ];
2915 -> 1008;

2916 [label="ONLY EVAL with clause\nquot(s(X5225), s(X5226), X5227, X5228) :- quot(X5225, X5226, X5227, X5228).\nand substitutionX5225 -> 0,\nX5226 -> 0,\nX5227 -> s(s(s(s(0)))),\nX5190 -> X5229,\nX5228 -> X5229", fontsize=14, style = filled, fillcolor = lightblue];
1007 -> 2916 [arrowhead = none ];
2916 -> 1009;

2917 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1008 -> 2917 [arrowhead = none ];
2917 -> 1014;

2918 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1009 -> 2918 [arrowhead = none ];
2918 -> 1010;

2919 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1010 -> 2919 [arrowhead = none ];
2919 -> 1011;

2920 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1011 -> 2920 [arrowhead = none ];
2920 -> 1012;

2921 [label="ONLY EVAL with clause\nquot(X5250, 0, s(X5251), s(X5252)) :- quot(X5250, s(X5251), s(X5251), X5252).\nand substitutionX5250 -> 0,\nX5251 -> s(s(s(0))),\nX5252 -> X5253,\nX5229 -> s(X5253)", fontsize=14, style = filled, fillcolor = lightblue];
1012 -> 2921 [arrowhead = none ];
2921 -> 1013;

2922 [label="INSTANCE with matching:\nX4338 -> X5253", fontsize=14, style = filled, fillcolor = lightgrey];
1013 -> 2922 [arrowhead = none , style=dashed];
2922 -> 863[style=dashed];

2923 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1018 -> 2923 [arrowhead = none ];
2923 -> 1020;

2924 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1020 -> 2924 [arrowhead = none ];
2924 -> 1021;

2925 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1021 -> 2925 [arrowhead = none ];
2925 -> 1022;

2926 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1021 -> 2926 [arrowhead = none ];
2926 -> 1023;

2927 [label="ONLY EVAL with clause\nquot(s(X5314), s(X5315), X5316, X5317) :- quot(X5314, X5315, X5316, X5317).\nand substitutionX5314 -> s(s(s(0))),\nX5315 -> s(s(0)),\nX5316 -> s(s(s(0))),\nX5279 -> X5318,\nX5317 -> X5318", fontsize=14, style = filled, fillcolor = lightblue];
1022 -> 2927 [arrowhead = none ];
2927 -> 1024;

2928 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1023 -> 2928 [arrowhead = none ];
2928 -> 1041;

2929 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1024 -> 2929 [arrowhead = none ];
2929 -> 1025;

2930 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1025 -> 2930 [arrowhead = none ];
2930 -> 1026;

2931 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1026 -> 2931 [arrowhead = none ];
2931 -> 1027;

2932 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1026 -> 2932 [arrowhead = none ];
2932 -> 1028;

2933 [label="ONLY EVAL with clause\nquot(s(X5353), s(X5354), X5355, X5356) :- quot(X5353, X5354, X5355, X5356).\nand substitutionX5353 -> s(s(0)),\nX5354 -> s(0),\nX5355 -> s(s(s(0))),\nX5318 -> X5357,\nX5356 -> X5357", fontsize=14, style = filled, fillcolor = lightblue];
1027 -> 2933 [arrowhead = none ];
2933 -> 1029;

2934 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1028 -> 2934 [arrowhead = none ];
2934 -> 1040;

2935 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1029 -> 2935 [arrowhead = none ];
2935 -> 1030;

2936 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1030 -> 2936 [arrowhead = none ];
2936 -> 1031;

2937 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1031 -> 2937 [arrowhead = none ];
2937 -> 1032;

2938 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1031 -> 2938 [arrowhead = none ];
2938 -> 1033;

2939 [label="ONLY EVAL with clause\nquot(s(X5392), s(X5393), X5394, X5395) :- quot(X5392, X5393, X5394, X5395).\nand substitutionX5392 -> s(0),\nX5393 -> 0,\nX5394 -> s(s(s(0))),\nX5357 -> X5396,\nX5395 -> X5396", fontsize=14, style = filled, fillcolor = lightblue];
1032 -> 2939 [arrowhead = none ];
2939 -> 1034;

2940 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1033 -> 2940 [arrowhead = none ];
2940 -> 1039;

2941 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1034 -> 2941 [arrowhead = none ];
2941 -> 1035;

2942 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1035 -> 2942 [arrowhead = none ];
2942 -> 1036;

2943 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1036 -> 2943 [arrowhead = none ];
2943 -> 1037;

2944 [label="ONLY EVAL with clause\nquot(X5419, 0, s(X5420), s(X5421)) :- quot(X5419, s(X5420), s(X5420), X5421).\nand substitutionX5419 -> s(0),\nX5420 -> s(s(0)),\nX5421 -> X5422,\nX5396 -> s(X5422)", fontsize=14, style = filled, fillcolor = lightblue];
1037 -> 2944 [arrowhead = none ];
2944 -> 1038;

2945 [label="INSTANCE with matching:\nX753 -> X5422", fontsize=14, style = filled, fillcolor = lightgrey];
1038 -> 2945 [arrowhead = none , style=dashed];
2945 -> 158[style=dashed];

2946 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1042 -> 2946 [arrowhead = none ];
2946 -> 1044;

2947 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1044 -> 2947 [arrowhead = none ];
2947 -> 1045;

2948 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1045 -> 2948 [arrowhead = none ];
2948 -> 1046;

2949 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1045 -> 2949 [arrowhead = none ];
2949 -> 1047;

2950 [label="ONLY EVAL with clause\nquot(s(X5482), s(X5483), X5484, X5485) :- quot(X5482, X5483, X5484, X5485).\nand substitutionX5482 -> s(s(s(0))),\nX5483 -> s(0),\nX5484 -> s(s(0)),\nX5447 -> X5486,\nX5485 -> X5486", fontsize=14, style = filled, fillcolor = lightblue];
1046 -> 2950 [arrowhead = none ];
2950 -> 1048;

2951 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1047 -> 2951 [arrowhead = none ];
2951 -> 1059;

2952 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1048 -> 2952 [arrowhead = none ];
2952 -> 1049;

2953 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1049 -> 2953 [arrowhead = none ];
2953 -> 1050;

2954 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1050 -> 2954 [arrowhead = none ];
2954 -> 1051;

2955 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1050 -> 2955 [arrowhead = none ];
2955 -> 1052;

2956 [label="ONLY EVAL with clause\nquot(s(X5521), s(X5522), X5523, X5524) :- quot(X5521, X5522, X5523, X5524).\nand substitutionX5521 -> s(s(0)),\nX5522 -> 0,\nX5523 -> s(s(0)),\nX5486 -> X5525,\nX5524 -> X5525", fontsize=14, style = filled, fillcolor = lightblue];
1051 -> 2956 [arrowhead = none ];
2956 -> 1053;

2957 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1052 -> 2957 [arrowhead = none ];
2957 -> 1058;

2958 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1053 -> 2958 [arrowhead = none ];
2958 -> 1054;

2959 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1054 -> 2959 [arrowhead = none ];
2959 -> 1055;

2960 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1055 -> 2960 [arrowhead = none ];
2960 -> 1056;

2961 [label="ONLY EVAL with clause\nquot(X5548, 0, s(X5549), s(X5550)) :- quot(X5548, s(X5549), s(X5549), X5550).\nand substitutionX5548 -> s(s(0)),\nX5549 -> s(0),\nX5550 -> X5551,\nX5525 -> s(X5551)", fontsize=14, style = filled, fillcolor = lightblue];
1056 -> 2961 [arrowhead = none ];
2961 -> 1057;

2962 [label="INSTANCE with matching:\nX2139 -> X5551", fontsize=14, style = filled, fillcolor = lightgrey];
1057 -> 2962 [arrowhead = none , style=dashed];
2962 -> 467[style=dashed];

2963 [label="INSTANCE with matching:\nT22 -> T598\nT20 -> T596\nX35 -> X3837", fontsize=14, style = filled, fillcolor = lightgrey];
1062 -> 2963 [arrowhead = none , style=dashed];
2963 -> 190[style=dashed];

2964 [label="INSTANCE with matching:\nT20 -> s(s(s(T596)))\nT157 -> T744", fontsize=14, style = filled, fillcolor = lightgrey];
1063 -> 2964 [arrowhead = none , style=dashed];
2964 -> 191[style=dashed];

2965 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1064 -> 2965 [arrowhead = none ];
2965 -> 1065;

2966 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1064 -> 2966 [arrowhead = none ];
2966 -> 1066;

2967 [label="EVAL with clause\npr(X5580, s(0)).\nand substitutionT590 -> 0,\nX5580 -> s(s(s(s(s(s(0)))))),\nT755 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1065 -> 2967 [arrowhead = none ];
2967 -> 1067;

2968 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1065 -> 2968 [arrowhead = none ];
2968 -> 1068;

2969 [label="EVAL with clause\npr(X5585, s(s(X5586))) :- ','(not_divides(s(s(X5586)), X5585), pr(X5585, s(X5586))).\nand substitutionT590 -> s(T761),\nX5585 -> s(s(s(s(s(s(s(T761))))))),\nX5586 -> T761,\nT760 -> s(T761)", fontsize=14, style = filled, fillcolor = lightblue];
1066 -> 2969 [arrowhead = none ];
2969 -> 1070;

2970 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1066 -> 2970 [arrowhead = none ];
2970 -> 1071;

2971 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1067 -> 2971 [arrowhead = none ];
2971 -> 1069;

2972 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1070 -> 2972 [arrowhead = none ];
2972 -> 1072;

2973 [label="SPLIT 2\nnew knowledge:\nT761 is ground", fontsize=14, style = filled, fillcolor = violet];
1070 -> 2973 [arrowhead = none ];
2973 -> 1073;

2974 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1072 -> 2974 [arrowhead = none ];
2974 -> 1074;

2975 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1073 -> 2975 [arrowhead = none ];
2975 -> 1389;

2976 [label="ONLY EVAL with clause\nnot_divides(X5605, X5606) :- ','(div(X5606, X5605, X5607), ','(times(X5607, X5605, X5608), neq(X5606, X5608))).\nand substitutionT761 -> T767,\nX5605 -> s(s(T767)),\nX5606 -> s(s(s(s(s(s(s(T767)))))))", fontsize=14, style = filled, fillcolor = lightblue];
1074 -> 2976 [arrowhead = none ];
2976 -> 1075;

2977 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1075 -> 2977 [arrowhead = none ];
2977 -> 1076;

2978 [label="SPLIT 2\nnew knowledge:\nT767 is ground\nT769 is ground\nreplacements:X5607 -> T769", fontsize=14, style = filled, fillcolor = violet];
1075 -> 2978 [arrowhead = none ];
2978 -> 1077;

2979 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1076 -> 2979 [arrowhead = none ];
2979 -> 1078;

2980 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1077 -> 2980 [arrowhead = none ];
2980 -> 1387;

2981 [label="SPLIT 2\nnew knowledge:\nT769 is ground\nT767 is ground\nT920 is ground\nreplacements:X5608 -> T920", fontsize=14, style = filled, fillcolor = violet];
1077 -> 2981 [arrowhead = none ];
2981 -> 1388;

2982 [label="ONLY EVAL with clause\ndiv(X5629, X5630, X5631) :- quot(X5629, X5630, X5630, X5631).\nand substitutionT767 -> T773,\nX5629 -> s(s(s(s(s(s(s(T773))))))),\nX5630 -> s(s(T773)),\nX5607 -> X5632,\nX5631 -> X5632", fontsize=14, style = filled, fillcolor = lightblue];
1078 -> 2982 [arrowhead = none ];
2982 -> 1079;

2983 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1079 -> 2983 [arrowhead = none ];
2983 -> 1080;

2984 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1080 -> 2984 [arrowhead = none ];
2984 -> 1081;

2985 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1081 -> 2985 [arrowhead = none ];
2985 -> 1082;

2986 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1081 -> 2986 [arrowhead = none ];
2986 -> 1083;

2987 [label="ONLY EVAL with clause\nquot(s(X5667), s(X5668), X5669, X5670) :- quot(X5667, X5668, X5669, X5670).\nand substitutionT773 -> T778,\nX5667 -> s(s(s(s(s(s(T778)))))),\nX5668 -> s(T778),\nX5669 -> s(s(T778)),\nX5632 -> X5671,\nX5670 -> X5671", fontsize=14, style = filled, fillcolor = lightblue];
1082 -> 2987 [arrowhead = none ];
2987 -> 1084;

2988 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1083 -> 2988 [arrowhead = none ];
2988 -> 1386;

2989 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1084 -> 2989 [arrowhead = none ];
2989 -> 1085;

2990 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1085 -> 2990 [arrowhead = none ];
2990 -> 1086;

2991 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1086 -> 2991 [arrowhead = none ];
2991 -> 1087;

2992 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1086 -> 2992 [arrowhead = none ];
2992 -> 1088;

2993 [label="ONLY EVAL with clause\nquot(s(X5706), s(X5707), X5708, X5709) :- quot(X5706, X5707, X5708, X5709).\nand substitutionT778 -> T783,\nX5706 -> s(s(s(s(s(T783))))),\nX5707 -> T783,\nX5708 -> s(s(T783)),\nX5671 -> X5710,\nX5709 -> X5710", fontsize=14, style = filled, fillcolor = lightblue];
1087 -> 2993 [arrowhead = none ];
2993 -> 1089;

2994 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1088 -> 2994 [arrowhead = none ];
2994 -> 1385;

2995 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1089 -> 2995 [arrowhead = none ];
2995 -> 1090;

2996 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1090 -> 2996 [arrowhead = none ];
2996 -> 1091;

2997 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1091 -> 2997 [arrowhead = none ];
2997 -> 1092;

2998 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1091 -> 2998 [arrowhead = none ];
2998 -> 1093;

2999 [label="EVAL with clause\nquot(s(X5737), s(X5738), X5739, X5740) :- quot(X5737, X5738, X5739, X5740).\nand substitutionT783 -> s(T793),\nX5737 -> s(s(s(s(s(T793))))),\nX5738 -> T793,\nT792 -> s(T793),\nX5739 -> s(s(s(T793))),\nX5710 -> X5741,\nX5740 -> X5741", fontsize=14, style = filled, fillcolor = lightblue];
1092 -> 2999 [arrowhead = none ];
2999 -> 1094;

3000 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1092 -> 3000 [arrowhead = none ];
3000 -> 1095;

3001 [label="EVAL with clause\nquot(X7403, 0, s(X7404), s(X7405)) :- quot(X7403, s(X7404), s(X7404), X7405).\nand substitutionT783 -> 0,\nX7403 -> s(s(s(s(s(0))))),\nT915 -> 0,\nX7404 -> s(0),\nX7405 -> X7406,\nX5710 -> s(X7406)", fontsize=14, style = filled, fillcolor = lightblue];
1093 -> 3001 [arrowhead = none ];
3001 -> 1367;

3002 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1093 -> 3002 [arrowhead = none ];
3002 -> 1368;

3003 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1094 -> 3003 [arrowhead = none ];
3003 -> 1096;

3004 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1096 -> 3004 [arrowhead = none ];
3004 -> 1097;

3005 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1097 -> 3005 [arrowhead = none ];
3005 -> 1098;

3006 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1097 -> 3006 [arrowhead = none ];
3006 -> 1099;

3007 [label="EVAL with clause\nquot(s(X5768), s(X5769), X5770, X5771) :- quot(X5768, X5769, X5770, X5771).\nand substitutionT793 -> s(T803),\nX5768 -> s(s(s(s(s(T803))))),\nX5769 -> T803,\nT802 -> s(T803),\nX5770 -> s(s(s(s(T803)))),\nX5741 -> X5772,\nX5771 -> X5772", fontsize=14, style = filled, fillcolor = lightblue];
1098 -> 3007 [arrowhead = none ];
3007 -> 1100;

3008 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1098 -> 3008 [arrowhead = none ];
3008 -> 1101;

3009 [label="EVAL with clause\nquot(X7235, 0, s(X7236), s(X7237)) :- quot(X7235, s(X7236), s(X7236), X7237).\nand substitutionT793 -> 0,\nX7235 -> s(s(s(s(s(0))))),\nT912 -> 0,\nX7236 -> s(s(0)),\nX7237 -> X7238,\nX5741 -> s(X7238)", fontsize=14, style = filled, fillcolor = lightblue];
1099 -> 3009 [arrowhead = none ];
3009 -> 1343;

3010 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1099 -> 3010 [arrowhead = none ];
3010 -> 1344;

3011 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1100 -> 3011 [arrowhead = none ];
3011 -> 1102;

3012 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1102 -> 3012 [arrowhead = none ];
3012 -> 1103;

3013 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1103 -> 3013 [arrowhead = none ];
3013 -> 1104;

3014 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1103 -> 3014 [arrowhead = none ];
3014 -> 1105;

3015 [label="EVAL with clause\nquot(s(X5799), s(X5800), X5801, X5802) :- quot(X5799, X5800, X5801, X5802).\nand substitutionT803 -> s(T813),\nX5799 -> s(s(s(s(s(T813))))),\nX5800 -> T813,\nT812 -> s(T813),\nX5801 -> s(s(s(s(s(T813))))),\nX5772 -> X5803,\nX5802 -> X5803", fontsize=14, style = filled, fillcolor = lightblue];
1104 -> 3015 [arrowhead = none ];
3015 -> 1106;

3016 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1104 -> 3016 [arrowhead = none ];
3016 -> 1107;

3017 [label="EVAL with clause\nquot(X7025, 0, s(X7026), s(X7027)) :- quot(X7025, s(X7026), s(X7026), X7027).\nand substitutionT803 -> 0,\nX7025 -> s(s(s(s(s(0))))),\nT909 -> 0,\nX7026 -> s(s(s(0))),\nX7027 -> X7028,\nX5772 -> s(X7028)", fontsize=14, style = filled, fillcolor = lightblue];
1105 -> 3017 [arrowhead = none ];
3017 -> 1313;

3018 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1105 -> 3018 [arrowhead = none ];
3018 -> 1314;

3019 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1106 -> 3019 [arrowhead = none ];
3019 -> 1108;

3020 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1108 -> 3020 [arrowhead = none ];
3020 -> 1109;

3021 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1109 -> 3021 [arrowhead = none ];
3021 -> 1110;

3022 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1109 -> 3022 [arrowhead = none ];
3022 -> 1111;

3023 [label="EVAL with clause\nquot(s(X5830), s(X5831), X5832, X5833) :- quot(X5830, X5831, X5832, X5833).\nand substitutionT813 -> s(T823),\nX5830 -> s(s(s(s(s(T823))))),\nX5831 -> T823,\nT822 -> s(T823),\nX5832 -> s(s(s(s(s(s(T823)))))),\nX5803 -> X5834,\nX5833 -> X5834", fontsize=14, style = filled, fillcolor = lightblue];
1110 -> 3023 [arrowhead = none ];
3023 -> 1112;

3024 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1110 -> 3024 [arrowhead = none ];
3024 -> 1113;

3025 [label="EVAL with clause\nquot(X6777, 0, s(X6778), s(X6779)) :- quot(X6777, s(X6778), s(X6778), X6779).\nand substitutionT813 -> 0,\nX6777 -> s(s(s(s(s(0))))),\nT906 -> 0,\nX6778 -> s(s(s(s(0)))),\nX6779 -> X6780,\nX5803 -> s(X6780)", fontsize=14, style = filled, fillcolor = lightblue];
1111 -> 3025 [arrowhead = none ];
3025 -> 1277;

3026 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1111 -> 3026 [arrowhead = none ];
3026 -> 1278;

3027 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1112 -> 3027 [arrowhead = none ];
3027 -> 1114;

3028 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1114 -> 3028 [arrowhead = none ];
3028 -> 1115;

3029 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1115 -> 3029 [arrowhead = none ];
3029 -> 1116;

3030 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1115 -> 3030 [arrowhead = none ];
3030 -> 1117;

3031 [label="EVAL with clause\nquot(s(X5861), s(X5862), X5863, X5864) :- quot(X5861, X5862, X5863, X5864).\nand substitutionT823 -> s(T833),\nX5861 -> s(s(s(s(s(T833))))),\nX5862 -> T833,\nT832 -> s(T833),\nX5863 -> s(s(s(s(s(s(s(T833))))))),\nX5834 -> X5865,\nX5864 -> X5865", fontsize=14, style = filled, fillcolor = lightblue];
1116 -> 3031 [arrowhead = none ];
3031 -> 1118;

3032 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1116 -> 3032 [arrowhead = none ];
3032 -> 1119;

3033 [label="EVAL with clause\nquot(X6540, 0, s(X6541), s(X6542)) :- quot(X6540, s(X6541), s(X6541), X6542).\nand substitutionT823 -> 0,\nX6540 -> s(s(s(s(s(0))))),\nT903 -> 0,\nX6541 -> s(s(s(s(s(0))))),\nX6542 -> X6543,\nX5834 -> s(X6543)", fontsize=14, style = filled, fillcolor = lightblue];
1117 -> 3033 [arrowhead = none ];
3033 -> 1238;

3034 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1117 -> 3034 [arrowhead = none ];
3034 -> 1239;

3035 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1118 -> 3035 [arrowhead = none ];
3035 -> 1120;

3036 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1120 -> 3036 [arrowhead = none ];
3036 -> 1121;

3037 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1121 -> 3037 [arrowhead = none ];
3037 -> 1122;

3038 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1121 -> 3038 [arrowhead = none ];
3038 -> 1123;

3039 [label="EVAL with clause\nquot(s(X5892), s(X5893), X5894, X5895) :- quot(X5892, X5893, X5894, X5895).\nand substitutionT833 -> s(T843),\nX5892 -> s(s(s(s(s(T843))))),\nX5893 -> T843,\nT842 -> s(T843),\nX5894 -> s(s(s(s(s(s(s(s(T843)))))))),\nX5865 -> X5896,\nX5895 -> X5896", fontsize=14, style = filled, fillcolor = lightblue];
1122 -> 3039 [arrowhead = none ];
3039 -> 1124;

3040 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1122 -> 3040 [arrowhead = none ];
3040 -> 1125;

3041 [label="EVAL with clause\nquot(X6303, 0, s(X6304), s(X6305)) :- quot(X6303, s(X6304), s(X6304), X6305).\nand substitutionT833 -> 0,\nX6303 -> s(s(s(s(s(0))))),\nT900 -> 0,\nX6304 -> s(s(s(s(s(s(0)))))),\nX6305 -> X6306,\nX5865 -> s(X6306)", fontsize=14, style = filled, fillcolor = lightblue];
1123 -> 3041 [arrowhead = none ];
3041 -> 1199;

3042 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1123 -> 3042 [arrowhead = none ];
3042 -> 1200;

3043 [label="GENERALIZATION\nT844 <-- s(s(s(s(s(s(s(T843)))))))\n\nNew Knowledge:\nT844 is ground", fontsize=14, style = filled, fillcolor = violet];
1124 -> 3043 [arrowhead = none ];
3043 -> 1126;

3044 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1126 -> 3044 [arrowhead = none ];
3044 -> 1127;

3045 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1127 -> 3045 [arrowhead = none ];
3045 -> 1128;

3046 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1128 -> 3046 [arrowhead = none ];
3046 -> 1129;

3047 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1128 -> 3047 [arrowhead = none ];
3047 -> 1130;

3048 [label="EVAL with clause\nquot(s(X5927), s(X5928), X5929, X5930) :- quot(X5927, X5928, X5929, X5930).\nand substitutionT843 -> s(T858),\nX5927 -> s(s(s(s(s(T858))))),\nX5928 -> T858,\nT857 -> s(T858),\nT844 -> T859,\nX5929 -> s(T859),\nX5896 -> X5931,\nX5930 -> X5931", fontsize=14, style = filled, fillcolor = lightblue];
1129 -> 3048 [arrowhead = none ];
3048 -> 1131;

3049 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1129 -> 3049 [arrowhead = none ];
3049 -> 1132;

3050 [label="EVAL with clause\nquot(X5944, 0, s(X5945), s(X5946)) :- quot(X5944, s(X5945), s(X5945), X5946).\nand substitutionT843 -> 0,\nX5944 -> s(s(s(s(s(0))))),\nT864 -> 0,\nT844 -> T865,\nX5945 -> T865,\nX5946 -> X5947,\nX5896 -> s(X5947)", fontsize=14, style = filled, fillcolor = lightblue];
1130 -> 3050 [arrowhead = none ];
3050 -> 1133;

3051 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1130 -> 3051 [arrowhead = none ];
3051 -> 1134;

3052 [label="INSTANCE with matching:\nT843 -> T858\nT844 -> T859\nX5896 -> X5931", fontsize=14, style = filled, fillcolor = lightgrey];
1131 -> 3052 [arrowhead = none , style=dashed];
3052 -> 1126[style=dashed];

3053 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1133 -> 3053 [arrowhead = none ];
3053 -> 1135;

3054 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1135 -> 3054 [arrowhead = none ];
3054 -> 1136;

3055 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1136 -> 3055 [arrowhead = none ];
3055 -> 1137;

3056 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1136 -> 3056 [arrowhead = none ];
3056 -> 1138;

3057 [label="ONLY EVAL with clause\nquot(s(X5982), s(X5983), X5984, X5985) :- quot(X5982, X5983, X5984, X5985).\nand substitutionX5982 -> s(s(s(s(0)))),\nT865 -> T870,\nX5983 -> T870,\nX5984 -> s(T870),\nX5947 -> X5986,\nX5985 -> X5986", fontsize=14, style = filled, fillcolor = lightblue];
1137 -> 3057 [arrowhead = none ];
3057 -> 1139;

3058 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1138 -> 3058 [arrowhead = none ];
3058 -> 1198;

3059 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1139 -> 3059 [arrowhead = none ];
3059 -> 1140;

3060 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1140 -> 3060 [arrowhead = none ];
3060 -> 1141;

3061 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1141 -> 3061 [arrowhead = none ];
3061 -> 1142;

3062 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1141 -> 3062 [arrowhead = none ];
3062 -> 1143;

3063 [label="EVAL with clause\nquot(s(X6013), s(X6014), X6015, X6016) :- quot(X6013, X6014, X6015, X6016).\nand substitutionX6013 -> s(s(s(0))),\nX6014 -> T875,\nT870 -> s(T875),\nX6015 -> s(s(T875)),\nX5986 -> X6017,\nX6016 -> X6017", fontsize=14, style = filled, fillcolor = lightblue];
1142 -> 3063 [arrowhead = none ];
3063 -> 1144;

3064 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1142 -> 3064 [arrowhead = none ];
3064 -> 1145;

3065 [label="EVAL with clause\nquot(X6216, 0, s(X6217), s(X6218)) :- quot(X6216, s(X6217), s(X6217), X6218).\nand substitutionX6216 -> s(s(s(s(0)))),\nT870 -> 0,\nX6217 -> 0,\nX6218 -> X6219,\nX5986 -> s(X6219)", fontsize=14, style = filled, fillcolor = lightblue];
1143 -> 3065 [arrowhead = none ];
3065 -> 1186;

3066 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1143 -> 3066 [arrowhead = none ];
3066 -> 1187;

3067 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1144 -> 3067 [arrowhead = none ];
3067 -> 1146;

3068 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1146 -> 3068 [arrowhead = none ];
3068 -> 1147;

3069 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1147 -> 3069 [arrowhead = none ];
3069 -> 1148;

3070 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1147 -> 3070 [arrowhead = none ];
3070 -> 1149;

3071 [label="EVAL with clause\nquot(s(X6044), s(X6045), X6046, X6047) :- quot(X6044, X6045, X6046, X6047).\nand substitutionX6044 -> s(s(0)),\nX6045 -> T880,\nT875 -> s(T880),\nX6046 -> s(s(s(T880))),\nX6017 -> X6048,\nX6047 -> X6048", fontsize=14, style = filled, fillcolor = lightblue];
1148 -> 3071 [arrowhead = none ];
3071 -> 1150;

3072 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1148 -> 3072 [arrowhead = none ];
3072 -> 1151;

3073 [label="EVAL with clause\nquot(X6200, 0, s(X6201), s(X6202)) :- quot(X6200, s(X6201), s(X6201), X6202).\nand substitutionX6200 -> s(s(s(0))),\nT875 -> 0,\nX6201 -> s(0),\nX6202 -> X6203,\nX6017 -> s(X6203)", fontsize=14, style = filled, fillcolor = lightblue];
1149 -> 3073 [arrowhead = none ];
3073 -> 1184;

3074 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1149 -> 3074 [arrowhead = none ];
3074 -> 1185;

3075 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1150 -> 3075 [arrowhead = none ];
3075 -> 1152;

3076 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1152 -> 3076 [arrowhead = none ];
3076 -> 1153;

3077 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1153 -> 3077 [arrowhead = none ];
3077 -> 1154;

3078 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1153 -> 3078 [arrowhead = none ];
3078 -> 1155;

3079 [label="EVAL with clause\nquot(s(X6075), s(X6076), X6077, X6078) :- quot(X6075, X6076, X6077, X6078).\nand substitutionX6075 -> s(0),\nX6076 -> T885,\nT880 -> s(T885),\nX6077 -> s(s(s(s(T885)))),\nX6048 -> X6079,\nX6078 -> X6079", fontsize=14, style = filled, fillcolor = lightblue];
1154 -> 3079 [arrowhead = none ];
3079 -> 1156;

3080 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1154 -> 3080 [arrowhead = none ];
3080 -> 1157;

3081 [label="EVAL with clause\nquot(X6184, 0, s(X6185), s(X6186)) :- quot(X6184, s(X6185), s(X6185), X6186).\nand substitutionX6184 -> s(s(0)),\nT880 -> 0,\nX6185 -> s(s(0)),\nX6186 -> X6187,\nX6048 -> s(X6187)", fontsize=14, style = filled, fillcolor = lightblue];
1155 -> 3081 [arrowhead = none ];
3081 -> 1182;

3082 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1155 -> 3082 [arrowhead = none ];
3082 -> 1183;

3083 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1156 -> 3083 [arrowhead = none ];
3083 -> 1158;

3084 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1158 -> 3084 [arrowhead = none ];
3084 -> 1159;

3085 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1159 -> 3085 [arrowhead = none ];
3085 -> 1160;

3086 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1159 -> 3086 [arrowhead = none ];
3086 -> 1161;

3087 [label="EVAL with clause\nquot(s(X6106), s(X6107), X6108, X6109) :- quot(X6106, X6107, X6108, X6109).\nand substitutionX6106 -> 0,\nX6107 -> T890,\nT885 -> s(T890),\nX6108 -> s(s(s(s(s(T890))))),\nX6079 -> X6110,\nX6109 -> X6110", fontsize=14, style = filled, fillcolor = lightblue];
1160 -> 3087 [arrowhead = none ];
3087 -> 1162;

3088 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1160 -> 3088 [arrowhead = none ];
3088 -> 1163;

3089 [label="EVAL with clause\nquot(X6168, 0, s(X6169), s(X6170)) :- quot(X6168, s(X6169), s(X6169), X6170).\nand substitutionX6168 -> s(0),\nT885 -> 0,\nX6169 -> s(s(s(0))),\nX6170 -> X6171,\nX6079 -> s(X6171)", fontsize=14, style = filled, fillcolor = lightblue];
1161 -> 3089 [arrowhead = none ];
3089 -> 1180;

3090 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1161 -> 3090 [arrowhead = none ];
3090 -> 1181;

3091 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1162 -> 3091 [arrowhead = none ];
3091 -> 1164;

3092 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1164 -> 3092 [arrowhead = none ];
3092 -> 1165;

3093 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1164 -> 3093 [arrowhead = none ];
3093 -> 1166;

3094 [label="EVAL with clause\nquot(0, s(X6123), s(X6124), 0).\nand substitutionX6123 -> T897,\nT890 -> s(T897),\nX6124 -> s(s(s(s(s(T897))))),\nX6110 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1165 -> 3094 [arrowhead = none ];
3094 -> 1167;

3095 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1165 -> 3095 [arrowhead = none ];
3095 -> 1168;

3096 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1166 -> 3096 [arrowhead = none ];
3096 -> 1170;

3097 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1167 -> 3097 [arrowhead = none ];
3097 -> 1169;

3098 [label="EVAL with clause\nquot(X6137, 0, s(X6138), s(X6139)) :- quot(X6137, s(X6138), s(X6138), X6139).\nand substitutionX6137 -> 0,\nT890 -> 0,\nX6138 -> s(s(s(s(0)))),\nX6139 -> X6140,\nX6110 -> s(X6140)", fontsize=14, style = filled, fillcolor = lightblue];
1170 -> 3098 [arrowhead = none ];
3098 -> 1171;

3099 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1170 -> 3099 [arrowhead = none ];
3099 -> 1172;

3100 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1171 -> 3100 [arrowhead = none ];
3100 -> 1173;

3101 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1173 -> 3101 [arrowhead = none ];
3101 -> 1174;

3102 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1173 -> 3102 [arrowhead = none ];
3102 -> 1175;

3103 [label="ONLY EVAL with clause\nquot(0, s(X6151), s(X6152), 0).\nand substitutionX6151 -> s(s(s(s(0)))),\nX6152 -> s(s(s(s(0)))),\nX6140 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1174 -> 3103 [arrowhead = none ];
3103 -> 1176;

3104 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1175 -> 3104 [arrowhead = none ];
3104 -> 1178;

3105 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1176 -> 3105 [arrowhead = none ];
3105 -> 1177;

3106 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1178 -> 3106 [arrowhead = none ];
3106 -> 1179;

3107 [label="INSTANCE with matching:\nX684 -> X6171", fontsize=14, style = filled, fillcolor = lightgrey];
1180 -> 3107 [arrowhead = none , style=dashed];
3107 -> 143[style=dashed];

3108 [label="INSTANCE with matching:\nX2028 -> X6187", fontsize=14, style = filled, fillcolor = lightgrey];
1182 -> 3108 [arrowhead = none , style=dashed];
3108 -> 446[style=dashed];

3109 [label="INSTANCE with matching:\nX3676 -> X6203", fontsize=14, style = filled, fillcolor = lightgrey];
1184 -> 3109 [arrowhead = none , style=dashed];
3109 -> 740[style=dashed];

3110 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1186 -> 3110 [arrowhead = none ];
3110 -> 1188;

3111 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1188 -> 3111 [arrowhead = none ];
3111 -> 1189;

3112 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1189 -> 3112 [arrowhead = none ];
3112 -> 1190;

3113 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1189 -> 3113 [arrowhead = none ];
3113 -> 1191;

3114 [label="ONLY EVAL with clause\nquot(s(X6254), s(X6255), X6256, X6257) :- quot(X6254, X6255, X6256, X6257).\nand substitutionX6254 -> s(s(s(0))),\nX6255 -> 0,\nX6256 -> s(0),\nX6219 -> X6258,\nX6257 -> X6258", fontsize=14, style = filled, fillcolor = lightblue];
1190 -> 3114 [arrowhead = none ];
3114 -> 1192;

3115 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1191 -> 3115 [arrowhead = none ];
3115 -> 1197;

3116 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1192 -> 3116 [arrowhead = none ];
3116 -> 1193;

3117 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1193 -> 3117 [arrowhead = none ];
3117 -> 1194;

3118 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1194 -> 3118 [arrowhead = none ];
3118 -> 1195;

3119 [label="ONLY EVAL with clause\nquot(X6281, 0, s(X6282), s(X6283)) :- quot(X6281, s(X6282), s(X6282), X6283).\nand substitutionX6281 -> s(s(s(0))),\nX6282 -> 0,\nX6283 -> X6284,\nX6258 -> s(X6284)", fontsize=14, style = filled, fillcolor = lightblue];
1195 -> 3119 [arrowhead = none ];
3119 -> 1196;

3120 [label="INSTANCE with matching:\nX4401 -> X6284", fontsize=14, style = filled, fillcolor = lightgrey];
1196 -> 3120 [arrowhead = none , style=dashed];
3120 -> 876[style=dashed];

3121 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1199 -> 3121 [arrowhead = none ];
3121 -> 1201;

3122 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1201 -> 3122 [arrowhead = none ];
3122 -> 1202;

3123 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1202 -> 3123 [arrowhead = none ];
3123 -> 1203;

3124 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1202 -> 3124 [arrowhead = none ];
3124 -> 1204;

3125 [label="ONLY EVAL with clause\nquot(s(X6341), s(X6342), X6343, X6344) :- quot(X6341, X6342, X6343, X6344).\nand substitutionX6341 -> s(s(s(s(0)))),\nX6342 -> s(s(s(s(s(s(0)))))),\nX6343 -> s(s(s(s(s(s(s(0))))))),\nX6306 -> X6345,\nX6344 -> X6345", fontsize=14, style = filled, fillcolor = lightblue];
1203 -> 3125 [arrowhead = none ];
3125 -> 1205;

3126 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1204 -> 3126 [arrowhead = none ];
3126 -> 1237;

3127 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1205 -> 3127 [arrowhead = none ];
3127 -> 1206;

3128 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1206 -> 3128 [arrowhead = none ];
3128 -> 1207;

3129 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1207 -> 3129 [arrowhead = none ];
3129 -> 1208;

3130 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1207 -> 3130 [arrowhead = none ];
3130 -> 1209;

3131 [label="ONLY EVAL with clause\nquot(s(X6380), s(X6381), X6382, X6383) :- quot(X6380, X6381, X6382, X6383).\nand substitutionX6380 -> s(s(s(0))),\nX6381 -> s(s(s(s(s(0))))),\nX6382 -> s(s(s(s(s(s(s(0))))))),\nX6345 -> X6384,\nX6383 -> X6384", fontsize=14, style = filled, fillcolor = lightblue];
1208 -> 3131 [arrowhead = none ];
3131 -> 1210;

3132 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1209 -> 3132 [arrowhead = none ];
3132 -> 1236;

3133 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1210 -> 3133 [arrowhead = none ];
3133 -> 1211;

3134 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1211 -> 3134 [arrowhead = none ];
3134 -> 1212;

3135 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1212 -> 3135 [arrowhead = none ];
3135 -> 1213;

3136 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1212 -> 3136 [arrowhead = none ];
3136 -> 1214;

3137 [label="ONLY EVAL with clause\nquot(s(X6419), s(X6420), X6421, X6422) :- quot(X6419, X6420, X6421, X6422).\nand substitutionX6419 -> s(s(0)),\nX6420 -> s(s(s(s(0)))),\nX6421 -> s(s(s(s(s(s(s(0))))))),\nX6384 -> X6423,\nX6422 -> X6423", fontsize=14, style = filled, fillcolor = lightblue];
1213 -> 3137 [arrowhead = none ];
3137 -> 1215;

3138 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1214 -> 3138 [arrowhead = none ];
3138 -> 1235;

3139 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1215 -> 3139 [arrowhead = none ];
3139 -> 1216;

3140 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1216 -> 3140 [arrowhead = none ];
3140 -> 1217;

3141 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1217 -> 3141 [arrowhead = none ];
3141 -> 1218;

3142 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1217 -> 3142 [arrowhead = none ];
3142 -> 1219;

3143 [label="ONLY EVAL with clause\nquot(s(X6458), s(X6459), X6460, X6461) :- quot(X6458, X6459, X6460, X6461).\nand substitutionX6458 -> s(0),\nX6459 -> s(s(s(0))),\nX6460 -> s(s(s(s(s(s(s(0))))))),\nX6423 -> X6462,\nX6461 -> X6462", fontsize=14, style = filled, fillcolor = lightblue];
1218 -> 3143 [arrowhead = none ];
3143 -> 1220;

3144 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1219 -> 3144 [arrowhead = none ];
3144 -> 1234;

3145 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1220 -> 3145 [arrowhead = none ];
3145 -> 1221;

3146 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1221 -> 3146 [arrowhead = none ];
3146 -> 1222;

3147 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1222 -> 3147 [arrowhead = none ];
3147 -> 1223;

3148 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1222 -> 3148 [arrowhead = none ];
3148 -> 1224;

3149 [label="ONLY EVAL with clause\nquot(s(X6493), s(X6494), X6495, X6496) :- quot(X6493, X6494, X6495, X6496).\nand substitutionX6493 -> 0,\nX6494 -> s(s(0)),\nX6495 -> s(s(s(s(s(s(s(0))))))),\nX6462 -> X6497,\nX6496 -> X6497", fontsize=14, style = filled, fillcolor = lightblue];
1223 -> 3149 [arrowhead = none ];
3149 -> 1225;

3150 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1224 -> 3150 [arrowhead = none ];
3150 -> 1233;

3151 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1225 -> 3151 [arrowhead = none ];
3151 -> 1226;

3152 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1226 -> 3152 [arrowhead = none ];
3152 -> 1227;

3153 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1226 -> 3153 [arrowhead = none ];
3153 -> 1228;

3154 [label="ONLY EVAL with clause\nquot(0, s(X6508), s(X6509), 0).\nand substitutionX6508 -> s(0),\nX6509 -> s(s(s(s(s(s(0)))))),\nX6497 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1227 -> 3154 [arrowhead = none ];
3154 -> 1229;

3155 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1228 -> 3155 [arrowhead = none ];
3155 -> 1231;

3156 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1229 -> 3156 [arrowhead = none ];
3156 -> 1230;

3157 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1231 -> 3157 [arrowhead = none ];
3157 -> 1232;

3158 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1238 -> 3158 [arrowhead = none ];
3158 -> 1240;

3159 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1240 -> 3159 [arrowhead = none ];
3159 -> 1241;

3160 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1241 -> 3160 [arrowhead = none ];
3160 -> 1242;

3161 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1241 -> 3161 [arrowhead = none ];
3161 -> 1243;

3162 [label="ONLY EVAL with clause\nquot(s(X6578), s(X6579), X6580, X6581) :- quot(X6578, X6579, X6580, X6581).\nand substitutionX6578 -> s(s(s(s(0)))),\nX6579 -> s(s(s(s(s(0))))),\nX6580 -> s(s(s(s(s(s(0)))))),\nX6543 -> X6582,\nX6581 -> X6582", fontsize=14, style = filled, fillcolor = lightblue];
1242 -> 3162 [arrowhead = none ];
3162 -> 1244;

3163 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1243 -> 3163 [arrowhead = none ];
3163 -> 1276;

3164 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1244 -> 3164 [arrowhead = none ];
3164 -> 1245;

3165 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1245 -> 3165 [arrowhead = none ];
3165 -> 1246;

3166 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1246 -> 3166 [arrowhead = none ];
3166 -> 1247;

3167 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1246 -> 3167 [arrowhead = none ];
3167 -> 1248;

3168 [label="ONLY EVAL with clause\nquot(s(X6617), s(X6618), X6619, X6620) :- quot(X6617, X6618, X6619, X6620).\nand substitutionX6617 -> s(s(s(0))),\nX6618 -> s(s(s(s(0)))),\nX6619 -> s(s(s(s(s(s(0)))))),\nX6582 -> X6621,\nX6620 -> X6621", fontsize=14, style = filled, fillcolor = lightblue];
1247 -> 3168 [arrowhead = none ];
3168 -> 1249;

3169 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1248 -> 3169 [arrowhead = none ];
3169 -> 1275;

3170 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1249 -> 3170 [arrowhead = none ];
3170 -> 1250;

3171 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1250 -> 3171 [arrowhead = none ];
3171 -> 1251;

3172 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1251 -> 3172 [arrowhead = none ];
3172 -> 1252;

3173 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1251 -> 3173 [arrowhead = none ];
3173 -> 1253;

3174 [label="ONLY EVAL with clause\nquot(s(X6656), s(X6657), X6658, X6659) :- quot(X6656, X6657, X6658, X6659).\nand substitutionX6656 -> s(s(0)),\nX6657 -> s(s(s(0))),\nX6658 -> s(s(s(s(s(s(0)))))),\nX6621 -> X6660,\nX6659 -> X6660", fontsize=14, style = filled, fillcolor = lightblue];
1252 -> 3174 [arrowhead = none ];
3174 -> 1254;

3175 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1253 -> 3175 [arrowhead = none ];
3175 -> 1274;

3176 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1254 -> 3176 [arrowhead = none ];
3176 -> 1255;

3177 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1255 -> 3177 [arrowhead = none ];
3177 -> 1256;

3178 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1256 -> 3178 [arrowhead = none ];
3178 -> 1257;

3179 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1256 -> 3179 [arrowhead = none ];
3179 -> 1258;

3180 [label="ONLY EVAL with clause\nquot(s(X6695), s(X6696), X6697, X6698) :- quot(X6695, X6696, X6697, X6698).\nand substitutionX6695 -> s(0),\nX6696 -> s(s(0)),\nX6697 -> s(s(s(s(s(s(0)))))),\nX6660 -> X6699,\nX6698 -> X6699", fontsize=14, style = filled, fillcolor = lightblue];
1257 -> 3180 [arrowhead = none ];
3180 -> 1259;

3181 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1258 -> 3181 [arrowhead = none ];
3181 -> 1273;

3182 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1259 -> 3182 [arrowhead = none ];
3182 -> 1260;

3183 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1260 -> 3183 [arrowhead = none ];
3183 -> 1261;

3184 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1261 -> 3184 [arrowhead = none ];
3184 -> 1262;

3185 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1261 -> 3185 [arrowhead = none ];
3185 -> 1263;

3186 [label="ONLY EVAL with clause\nquot(s(X6730), s(X6731), X6732, X6733) :- quot(X6730, X6731, X6732, X6733).\nand substitutionX6730 -> 0,\nX6731 -> s(0),\nX6732 -> s(s(s(s(s(s(0)))))),\nX6699 -> X6734,\nX6733 -> X6734", fontsize=14, style = filled, fillcolor = lightblue];
1262 -> 3186 [arrowhead = none ];
3186 -> 1264;

3187 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1263 -> 3187 [arrowhead = none ];
3187 -> 1272;

3188 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1264 -> 3188 [arrowhead = none ];
3188 -> 1265;

3189 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1265 -> 3189 [arrowhead = none ];
3189 -> 1266;

3190 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1265 -> 3190 [arrowhead = none ];
3190 -> 1267;

3191 [label="ONLY EVAL with clause\nquot(0, s(X6745), s(X6746), 0).\nand substitutionX6745 -> 0,\nX6746 -> s(s(s(s(s(0))))),\nX6734 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1266 -> 3191 [arrowhead = none ];
3191 -> 1268;

3192 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1267 -> 3192 [arrowhead = none ];
3192 -> 1270;

3193 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1268 -> 3193 [arrowhead = none ];
3193 -> 1269;

3194 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1270 -> 3194 [arrowhead = none ];
3194 -> 1271;

3195 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1277 -> 3195 [arrowhead = none ];
3195 -> 1279;

3196 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1279 -> 3196 [arrowhead = none ];
3196 -> 1280;

3197 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1280 -> 3197 [arrowhead = none ];
3197 -> 1281;

3198 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1280 -> 3198 [arrowhead = none ];
3198 -> 1282;

3199 [label="ONLY EVAL with clause\nquot(s(X6815), s(X6816), X6817, X6818) :- quot(X6815, X6816, X6817, X6818).\nand substitutionX6815 -> s(s(s(s(0)))),\nX6816 -> s(s(s(s(0)))),\nX6817 -> s(s(s(s(s(0))))),\nX6780 -> X6819,\nX6818 -> X6819", fontsize=14, style = filled, fillcolor = lightblue];
1281 -> 3199 [arrowhead = none ];
3199 -> 1283;

3200 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1282 -> 3200 [arrowhead = none ];
3200 -> 1312;

3201 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1283 -> 3201 [arrowhead = none ];
3201 -> 1284;

3202 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1284 -> 3202 [arrowhead = none ];
3202 -> 1285;

3203 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1285 -> 3203 [arrowhead = none ];
3203 -> 1286;

3204 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1285 -> 3204 [arrowhead = none ];
3204 -> 1287;

3205 [label="ONLY EVAL with clause\nquot(s(X6854), s(X6855), X6856, X6857) :- quot(X6854, X6855, X6856, X6857).\nand substitutionX6854 -> s(s(s(0))),\nX6855 -> s(s(s(0))),\nX6856 -> s(s(s(s(s(0))))),\nX6819 -> X6858,\nX6857 -> X6858", fontsize=14, style = filled, fillcolor = lightblue];
1286 -> 3205 [arrowhead = none ];
3205 -> 1288;

3206 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1287 -> 3206 [arrowhead = none ];
3206 -> 1311;

3207 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1288 -> 3207 [arrowhead = none ];
3207 -> 1289;

3208 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1289 -> 3208 [arrowhead = none ];
3208 -> 1290;

3209 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1290 -> 3209 [arrowhead = none ];
3209 -> 1291;

3210 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1290 -> 3210 [arrowhead = none ];
3210 -> 1292;

3211 [label="ONLY EVAL with clause\nquot(s(X6893), s(X6894), X6895, X6896) :- quot(X6893, X6894, X6895, X6896).\nand substitutionX6893 -> s(s(0)),\nX6894 -> s(s(0)),\nX6895 -> s(s(s(s(s(0))))),\nX6858 -> X6897,\nX6896 -> X6897", fontsize=14, style = filled, fillcolor = lightblue];
1291 -> 3211 [arrowhead = none ];
3211 -> 1293;

3212 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1292 -> 3212 [arrowhead = none ];
3212 -> 1310;

3213 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1293 -> 3213 [arrowhead = none ];
3213 -> 1294;

3214 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1294 -> 3214 [arrowhead = none ];
3214 -> 1295;

3215 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1295 -> 3215 [arrowhead = none ];
3215 -> 1296;

3216 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1295 -> 3216 [arrowhead = none ];
3216 -> 1297;

3217 [label="ONLY EVAL with clause\nquot(s(X6932), s(X6933), X6934, X6935) :- quot(X6932, X6933, X6934, X6935).\nand substitutionX6932 -> s(0),\nX6933 -> s(0),\nX6934 -> s(s(s(s(s(0))))),\nX6897 -> X6936,\nX6935 -> X6936", fontsize=14, style = filled, fillcolor = lightblue];
1296 -> 3217 [arrowhead = none ];
3217 -> 1298;

3218 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1297 -> 3218 [arrowhead = none ];
3218 -> 1309;

3219 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1298 -> 3219 [arrowhead = none ];
3219 -> 1299;

3220 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1299 -> 3220 [arrowhead = none ];
3220 -> 1300;

3221 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1300 -> 3221 [arrowhead = none ];
3221 -> 1301;

3222 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1300 -> 3222 [arrowhead = none ];
3222 -> 1302;

3223 [label="ONLY EVAL with clause\nquot(s(X6971), s(X6972), X6973, X6974) :- quot(X6971, X6972, X6973, X6974).\nand substitutionX6971 -> 0,\nX6972 -> 0,\nX6973 -> s(s(s(s(s(0))))),\nX6936 -> X6975,\nX6974 -> X6975", fontsize=14, style = filled, fillcolor = lightblue];
1301 -> 3223 [arrowhead = none ];
3223 -> 1303;

3224 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1302 -> 3224 [arrowhead = none ];
3224 -> 1308;

3225 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1303 -> 3225 [arrowhead = none ];
3225 -> 1304;

3226 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1304 -> 3226 [arrowhead = none ];
3226 -> 1305;

3227 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1305 -> 3227 [arrowhead = none ];
3227 -> 1306;

3228 [label="ONLY EVAL with clause\nquot(X6996, 0, s(X6997), s(X6998)) :- quot(X6996, s(X6997), s(X6997), X6998).\nand substitutionX6996 -> 0,\nX6997 -> s(s(s(s(0)))),\nX6998 -> X6999,\nX6975 -> s(X6999)", fontsize=14, style = filled, fillcolor = lightblue];
1306 -> 3228 [arrowhead = none ];
3228 -> 1307;

3229 [label="INSTANCE with matching:\nX6140 -> X6999", fontsize=14, style = filled, fillcolor = lightgrey];
1307 -> 3229 [arrowhead = none , style=dashed];
3229 -> 1171[style=dashed];

3230 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1313 -> 3230 [arrowhead = none ];
3230 -> 1315;

3231 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1315 -> 3231 [arrowhead = none ];
3231 -> 1316;

3232 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1316 -> 3232 [arrowhead = none ];
3232 -> 1317;

3233 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1316 -> 3233 [arrowhead = none ];
3233 -> 1318;

3234 [label="ONLY EVAL with clause\nquot(s(X7063), s(X7064), X7065, X7066) :- quot(X7063, X7064, X7065, X7066).\nand substitutionX7063 -> s(s(s(s(0)))),\nX7064 -> s(s(s(0))),\nX7065 -> s(s(s(s(0)))),\nX7028 -> X7067,\nX7066 -> X7067", fontsize=14, style = filled, fillcolor = lightblue];
1317 -> 3234 [arrowhead = none ];
3234 -> 1319;

3235 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1318 -> 3235 [arrowhead = none ];
3235 -> 1342;

3236 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1319 -> 3236 [arrowhead = none ];
3236 -> 1320;

3237 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1320 -> 3237 [arrowhead = none ];
3237 -> 1321;

3238 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1321 -> 3238 [arrowhead = none ];
3238 -> 1322;

3239 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1321 -> 3239 [arrowhead = none ];
3239 -> 1323;

3240 [label="ONLY EVAL with clause\nquot(s(X7102), s(X7103), X7104, X7105) :- quot(X7102, X7103, X7104, X7105).\nand substitutionX7102 -> s(s(s(0))),\nX7103 -> s(s(0)),\nX7104 -> s(s(s(s(0)))),\nX7067 -> X7106,\nX7105 -> X7106", fontsize=14, style = filled, fillcolor = lightblue];
1322 -> 3240 [arrowhead = none ];
3240 -> 1324;

3241 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1323 -> 3241 [arrowhead = none ];
3241 -> 1341;

3242 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1324 -> 3242 [arrowhead = none ];
3242 -> 1325;

3243 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1325 -> 3243 [arrowhead = none ];
3243 -> 1326;

3244 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1326 -> 3244 [arrowhead = none ];
3244 -> 1327;

3245 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1326 -> 3245 [arrowhead = none ];
3245 -> 1328;

3246 [label="ONLY EVAL with clause\nquot(s(X7141), s(X7142), X7143, X7144) :- quot(X7141, X7142, X7143, X7144).\nand substitutionX7141 -> s(s(0)),\nX7142 -> s(0),\nX7143 -> s(s(s(s(0)))),\nX7106 -> X7145,\nX7144 -> X7145", fontsize=14, style = filled, fillcolor = lightblue];
1327 -> 3246 [arrowhead = none ];
3246 -> 1329;

3247 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1328 -> 3247 [arrowhead = none ];
3247 -> 1340;

3248 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1329 -> 3248 [arrowhead = none ];
3248 -> 1330;

3249 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1330 -> 3249 [arrowhead = none ];
3249 -> 1331;

3250 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1331 -> 3250 [arrowhead = none ];
3250 -> 1332;

3251 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1331 -> 3251 [arrowhead = none ];
3251 -> 1333;

3252 [label="ONLY EVAL with clause\nquot(s(X7180), s(X7181), X7182, X7183) :- quot(X7180, X7181, X7182, X7183).\nand substitutionX7180 -> s(0),\nX7181 -> 0,\nX7182 -> s(s(s(s(0)))),\nX7145 -> X7184,\nX7183 -> X7184", fontsize=14, style = filled, fillcolor = lightblue];
1332 -> 3252 [arrowhead = none ];
3252 -> 1334;

3253 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1333 -> 3253 [arrowhead = none ];
3253 -> 1339;

3254 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1334 -> 3254 [arrowhead = none ];
3254 -> 1335;

3255 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1335 -> 3255 [arrowhead = none ];
3255 -> 1336;

3256 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1336 -> 3256 [arrowhead = none ];
3256 -> 1337;

3257 [label="ONLY EVAL with clause\nquot(X7207, 0, s(X7208), s(X7209)) :- quot(X7207, s(X7208), s(X7208), X7209).\nand substitutionX7207 -> s(0),\nX7208 -> s(s(s(0))),\nX7209 -> X7210,\nX7184 -> s(X7210)", fontsize=14, style = filled, fillcolor = lightblue];
1337 -> 3257 [arrowhead = none ];
3257 -> 1338;

3258 [label="INSTANCE with matching:\nX684 -> X7210", fontsize=14, style = filled, fillcolor = lightgrey];
1338 -> 3258 [arrowhead = none , style=dashed];
3258 -> 143[style=dashed];

3259 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1343 -> 3259 [arrowhead = none ];
3259 -> 1345;

3260 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1345 -> 3260 [arrowhead = none ];
3260 -> 1346;

3261 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1346 -> 3261 [arrowhead = none ];
3261 -> 1347;

3262 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1346 -> 3262 [arrowhead = none ];
3262 -> 1348;

3263 [label="ONLY EVAL with clause\nquot(s(X7273), s(X7274), X7275, X7276) :- quot(X7273, X7274, X7275, X7276).\nand substitutionX7273 -> s(s(s(s(0)))),\nX7274 -> s(s(0)),\nX7275 -> s(s(s(0))),\nX7238 -> X7277,\nX7276 -> X7277", fontsize=14, style = filled, fillcolor = lightblue];
1347 -> 3263 [arrowhead = none ];
3263 -> 1349;

3264 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1348 -> 3264 [arrowhead = none ];
3264 -> 1366;

3265 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1349 -> 3265 [arrowhead = none ];
3265 -> 1350;

3266 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1350 -> 3266 [arrowhead = none ];
3266 -> 1351;

3267 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1351 -> 3267 [arrowhead = none ];
3267 -> 1352;

3268 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1351 -> 3268 [arrowhead = none ];
3268 -> 1353;

3269 [label="ONLY EVAL with clause\nquot(s(X7312), s(X7313), X7314, X7315) :- quot(X7312, X7313, X7314, X7315).\nand substitutionX7312 -> s(s(s(0))),\nX7313 -> s(0),\nX7314 -> s(s(s(0))),\nX7277 -> X7316,\nX7315 -> X7316", fontsize=14, style = filled, fillcolor = lightblue];
1352 -> 3269 [arrowhead = none ];
3269 -> 1354;

3270 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1353 -> 3270 [arrowhead = none ];
3270 -> 1365;

3271 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1354 -> 3271 [arrowhead = none ];
3271 -> 1355;

3272 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1355 -> 3272 [arrowhead = none ];
3272 -> 1356;

3273 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1356 -> 3273 [arrowhead = none ];
3273 -> 1357;

3274 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1356 -> 3274 [arrowhead = none ];
3274 -> 1358;

3275 [label="ONLY EVAL with clause\nquot(s(X7351), s(X7352), X7353, X7354) :- quot(X7351, X7352, X7353, X7354).\nand substitutionX7351 -> s(s(0)),\nX7352 -> 0,\nX7353 -> s(s(s(0))),\nX7316 -> X7355,\nX7354 -> X7355", fontsize=14, style = filled, fillcolor = lightblue];
1357 -> 3275 [arrowhead = none ];
3275 -> 1359;

3276 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1358 -> 3276 [arrowhead = none ];
3276 -> 1364;

3277 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1359 -> 3277 [arrowhead = none ];
3277 -> 1360;

3278 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1360 -> 3278 [arrowhead = none ];
3278 -> 1361;

3279 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1361 -> 3279 [arrowhead = none ];
3279 -> 1362;

3280 [label="ONLY EVAL with clause\nquot(X7378, 0, s(X7379), s(X7380)) :- quot(X7378, s(X7379), s(X7379), X7380).\nand substitutionX7378 -> s(s(0)),\nX7379 -> s(s(0)),\nX7380 -> X7381,\nX7355 -> s(X7381)", fontsize=14, style = filled, fillcolor = lightblue];
1362 -> 3280 [arrowhead = none ];
3280 -> 1363;

3281 [label="INSTANCE with matching:\nX2028 -> X7381", fontsize=14, style = filled, fillcolor = lightgrey];
1363 -> 3281 [arrowhead = none , style=dashed];
3281 -> 446[style=dashed];

3282 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1367 -> 3282 [arrowhead = none ];
3282 -> 1369;

3283 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1369 -> 3283 [arrowhead = none ];
3283 -> 1370;

3284 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1370 -> 3284 [arrowhead = none ];
3284 -> 1371;

3285 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1370 -> 3285 [arrowhead = none ];
3285 -> 1372;

3286 [label="ONLY EVAL with clause\nquot(s(X7441), s(X7442), X7443, X7444) :- quot(X7441, X7442, X7443, X7444).\nand substitutionX7441 -> s(s(s(s(0)))),\nX7442 -> s(0),\nX7443 -> s(s(0)),\nX7406 -> X7445,\nX7444 -> X7445", fontsize=14, style = filled, fillcolor = lightblue];
1371 -> 3286 [arrowhead = none ];
3286 -> 1373;

3287 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1372 -> 3287 [arrowhead = none ];
3287 -> 1384;

3288 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1373 -> 3288 [arrowhead = none ];
3288 -> 1374;

3289 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1374 -> 3289 [arrowhead = none ];
3289 -> 1375;

3290 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1375 -> 3290 [arrowhead = none ];
3290 -> 1376;

3291 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1375 -> 3291 [arrowhead = none ];
3291 -> 1377;

3292 [label="ONLY EVAL with clause\nquot(s(X7480), s(X7481), X7482, X7483) :- quot(X7480, X7481, X7482, X7483).\nand substitutionX7480 -> s(s(s(0))),\nX7481 -> 0,\nX7482 -> s(s(0)),\nX7445 -> X7484,\nX7483 -> X7484", fontsize=14, style = filled, fillcolor = lightblue];
1376 -> 3292 [arrowhead = none ];
3292 -> 1378;

3293 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1377 -> 3293 [arrowhead = none ];
3293 -> 1383;

3294 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1378 -> 3294 [arrowhead = none ];
3294 -> 1379;

3295 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1379 -> 3295 [arrowhead = none ];
3295 -> 1380;

3296 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1380 -> 3296 [arrowhead = none ];
3296 -> 1381;

3297 [label="ONLY EVAL with clause\nquot(X7507, 0, s(X7508), s(X7509)) :- quot(X7507, s(X7508), s(X7508), X7509).\nand substitutionX7507 -> s(s(s(0))),\nX7508 -> s(0),\nX7509 -> X7510,\nX7484 -> s(X7510)", fontsize=14, style = filled, fillcolor = lightblue];
1381 -> 3297 [arrowhead = none ];
3297 -> 1382;

3298 [label="INSTANCE with matching:\nX3676 -> X7510", fontsize=14, style = filled, fillcolor = lightgrey];
1382 -> 3298 [arrowhead = none , style=dashed];
3298 -> 740[style=dashed];

3299 [label="INSTANCE with matching:\nT22 -> T769\nT20 -> T767\nX35 -> X5608", fontsize=14, style = filled, fillcolor = lightgrey];
1387 -> 3299 [arrowhead = none , style=dashed];
3299 -> 190[style=dashed];

3300 [label="INSTANCE with matching:\nT20 -> s(s(s(s(T767))))\nT157 -> T920", fontsize=14, style = filled, fillcolor = lightgrey];
1388 -> 3300 [arrowhead = none , style=dashed];
3300 -> 191[style=dashed];

3301 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1389 -> 3301 [arrowhead = none ];
3301 -> 1390;

3302 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1389 -> 3302 [arrowhead = none ];
3302 -> 1391;

3303 [label="EVAL with clause\npr(X7539, s(0)).\nand substitutionT761 -> 0,\nX7539 -> s(s(s(s(s(s(s(0))))))),\nT931 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1390 -> 3303 [arrowhead = none ];
3303 -> 1392;

3304 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1390 -> 3304 [arrowhead = none ];
3304 -> 1393;

3305 [label="EVAL with clause\npr(X7544, s(s(X7545))) :- ','(not_divides(s(s(X7545)), X7544), pr(X7544, s(X7545))).\nand substitutionT761 -> s(T937),\nX7544 -> s(s(s(s(s(s(s(s(T937)))))))),\nX7545 -> T937,\nT936 -> s(T937)", fontsize=14, style = filled, fillcolor = lightblue];
1391 -> 3305 [arrowhead = none ];
3305 -> 1395;

3306 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1391 -> 3306 [arrowhead = none ];
3306 -> 1396;

3307 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1392 -> 3307 [arrowhead = none ];
3307 -> 1394;

3308 [label="GENERALIZATION\nT939 <-- s(s(s(s(s(s(s(T937)))))))\n\nNew Knowledge:\nT939 is ground", fontsize=14, style = filled, fillcolor = violet];
1395 -> 3308 [arrowhead = none ];
3308 -> 1397;

3309 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1397 -> 3309 [arrowhead = none ];
3309 -> 1398;

3310 [label="SPLIT 2\nnew knowledge:\nT937 is ground\nT939 is ground", fontsize=14, style = filled, fillcolor = violet];
1397 -> 3310 [arrowhead = none ];
3310 -> 1399;

3311 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1398 -> 3311 [arrowhead = none ];
3311 -> 1400;

3312 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1399 -> 3312 [arrowhead = none ];
3312 -> 1869;

3313 [label="ONLY EVAL with clause\nnot_divides(X7568, X7569) :- ','(div(X7569, X7568, X7570), ','(times(X7570, X7568, X7571), neq(X7569, X7571))).\nand substitutionT937 -> T950,\nX7568 -> s(s(T950)),\nT939 -> T951,\nX7569 -> s(T951)", fontsize=14, style = filled, fillcolor = lightblue];
1400 -> 3313 [arrowhead = none ];
3313 -> 1401;

3314 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1401 -> 3314 [arrowhead = none ];
3314 -> 1402;

3315 [label="SPLIT 2\nnew knowledge:\nT951 is ground\nT950 is ground\nT954 is ground\nreplacements:X7570 -> T954", fontsize=14, style = filled, fillcolor = violet];
1401 -> 3315 [arrowhead = none ];
3315 -> 1403;

3316 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1402 -> 3316 [arrowhead = none ];
3316 -> 1404;

3317 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1403 -> 3317 [arrowhead = none ];
3317 -> 1867;

3318 [label="SPLIT 2\nnew knowledge:\nT954 is ground\nT950 is ground\nT1396 is ground\nreplacements:X7571 -> T1396", fontsize=14, style = filled, fillcolor = violet];
1403 -> 3318 [arrowhead = none ];
3318 -> 1868;

3319 [label="ONLY EVAL with clause\ndiv(X7592, X7593, X7594) :- quot(X7592, X7593, X7593, X7594).\nand substitutionT951 -> T961,\nX7592 -> s(T961),\nT950 -> T962,\nX7593 -> s(s(T962)),\nX7570 -> X7595,\nX7594 -> X7595", fontsize=14, style = filled, fillcolor = lightblue];
1404 -> 3319 [arrowhead = none ];
3319 -> 1405;

3320 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1405 -> 3320 [arrowhead = none ];
3320 -> 1406;

3321 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1406 -> 3321 [arrowhead = none ];
3321 -> 1407;

3322 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1407 -> 3322 [arrowhead = none ];
3322 -> 1408;

3323 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1407 -> 3323 [arrowhead = none ];
3323 -> 1409;

3324 [label="ONLY EVAL with clause\nquot(s(X7630), s(X7631), X7632, X7633) :- quot(X7630, X7631, X7632, X7633).\nand substitutionT961 -> T975,\nX7630 -> T975,\nT962 -> T976,\nX7631 -> s(T976),\nX7632 -> s(s(T976)),\nX7595 -> X7634,\nX7633 -> X7634", fontsize=14, style = filled, fillcolor = lightblue];
1408 -> 3324 [arrowhead = none ];
3324 -> 1410;

3325 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1409 -> 3325 [arrowhead = none ];
3325 -> 1866;

3326 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1410 -> 3326 [arrowhead = none ];
3326 -> 1411;

3327 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1411 -> 3327 [arrowhead = none ];
3327 -> 1412;

3328 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1411 -> 3328 [arrowhead = none ];
3328 -> 1413;

3329 [label="EVAL with clause\nquot(0, s(X7647), s(X7648), 0).\nand substitutionT975 -> 0,\nT976 -> T983,\nX7647 -> T983,\nX7648 -> s(T983),\nX7634 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1412 -> 3329 [arrowhead = none ];
3329 -> 1414;

3330 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1412 -> 3330 [arrowhead = none ];
3330 -> 1415;

3331 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1413 -> 3331 [arrowhead = none ];
3331 -> 1417;

3332 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1413 -> 3332 [arrowhead = none ];
3332 -> 1418;

3333 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1414 -> 3333 [arrowhead = none ];
3333 -> 1416;

3334 [label="EVAL with clause\nquot(s(X7669), s(X7670), X7671, X7672) :- quot(X7669, X7670, X7671, X7672).\nand substitutionX7669 -> T992,\nT975 -> s(T992),\nT976 -> T993,\nX7670 -> T993,\nX7671 -> s(s(T993)),\nX7634 -> X7673,\nX7672 -> X7673", fontsize=14, style = filled, fillcolor = lightblue];
1417 -> 3334 [arrowhead = none ];
3334 -> 1419;

3335 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1417 -> 3335 [arrowhead = none ];
3335 -> 1420;

3336 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1418 -> 3336 [arrowhead = none ];
3336 -> 1865;

3337 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1419 -> 3337 [arrowhead = none ];
3337 -> 1421;

3338 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1421 -> 3338 [arrowhead = none ];
3338 -> 1422;

3339 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1421 -> 3339 [arrowhead = none ];
3339 -> 1423;

3340 [label="EVAL with clause\nquot(0, s(X7686), s(X7687), 0).\nand substitutionT992 -> 0,\nX7686 -> T1000,\nT993 -> s(T1000),\nX7687 -> s(s(T1000)),\nX7673 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1422 -> 3340 [arrowhead = none ];
3340 -> 1424;

3341 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1422 -> 3341 [arrowhead = none ];
3341 -> 1425;

3342 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1423 -> 3342 [arrowhead = none ];
3342 -> 1427;

3343 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1423 -> 3343 [arrowhead = none ];
3343 -> 1428;

3344 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1424 -> 3344 [arrowhead = none ];
3344 -> 1426;

3345 [label="EVAL with clause\nquot(s(X7708), s(X7709), X7710, X7711) :- quot(X7708, X7709, X7710, X7711).\nand substitutionX7708 -> T1009,\nT992 -> s(T1009),\nX7709 -> T1010,\nT993 -> s(T1010),\nX7710 -> s(s(s(T1010))),\nX7673 -> X7712,\nX7711 -> X7712", fontsize=14, style = filled, fillcolor = lightblue];
1427 -> 3345 [arrowhead = none ];
3345 -> 1429;

3346 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1427 -> 3346 [arrowhead = none ];
3346 -> 1430;

3347 [label="EVAL with clause\nquot(X9404, 0, s(X9405), s(X9406)) :- quot(X9404, s(X9405), s(X9405), X9406).\nand substitutionT992 -> T1375,\nX9404 -> T1375,\nT993 -> 0,\nX9405 -> s(0),\nX9406 -> X9407,\nX7673 -> s(X9407)", fontsize=14, style = filled, fillcolor = lightblue];
1428 -> 3347 [arrowhead = none ];
3347 -> 1837;

3348 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1428 -> 3348 [arrowhead = none ];
3348 -> 1838;

3349 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1429 -> 3349 [arrowhead = none ];
3349 -> 1431;

3350 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1431 -> 3350 [arrowhead = none ];
3350 -> 1432;

3351 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1431 -> 3351 [arrowhead = none ];
3351 -> 1433;

3352 [label="EVAL with clause\nquot(0, s(X7725), s(X7726), 0).\nand substitutionT1009 -> 0,\nX7725 -> T1017,\nT1010 -> s(T1017),\nX7726 -> s(s(s(T1017))),\nX7712 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1432 -> 3352 [arrowhead = none ];
3352 -> 1434;

3353 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1432 -> 3353 [arrowhead = none ];
3353 -> 1435;

3354 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1433 -> 3354 [arrowhead = none ];
3354 -> 1437;

3355 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1433 -> 3355 [arrowhead = none ];
3355 -> 1438;

3356 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1434 -> 3356 [arrowhead = none ];
3356 -> 1436;

3357 [label="EVAL with clause\nquot(s(X7747), s(X7748), X7749, X7750) :- quot(X7747, X7748, X7749, X7750).\nand substitutionX7747 -> T1026,\nT1009 -> s(T1026),\nX7748 -> T1027,\nT1010 -> s(T1027),\nX7749 -> s(s(s(s(T1027)))),\nX7712 -> X7751,\nX7750 -> X7751", fontsize=14, style = filled, fillcolor = lightblue];
1437 -> 3357 [arrowhead = none ];
3357 -> 1439;

3358 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1437 -> 3358 [arrowhead = none ];
3358 -> 1440;

3359 [label="EVAL with clause\nquot(X9236, 0, s(X9237), s(X9238)) :- quot(X9236, s(X9237), s(X9237), X9238).\nand substitutionT1009 -> T1350,\nX9236 -> T1350,\nT1010 -> 0,\nX9237 -> s(s(0)),\nX9238 -> X9239,\nX7712 -> s(X9239)", fontsize=14, style = filled, fillcolor = lightblue];
1438 -> 3359 [arrowhead = none ];
3359 -> 1798;

3360 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1438 -> 3360 [arrowhead = none ];
3360 -> 1799;

3361 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1439 -> 3361 [arrowhead = none ];
3361 -> 1441;

3362 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1441 -> 3362 [arrowhead = none ];
3362 -> 1442;

3363 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1441 -> 3363 [arrowhead = none ];
3363 -> 1443;

3364 [label="EVAL with clause\nquot(0, s(X7764), s(X7765), 0).\nand substitutionT1026 -> 0,\nX7764 -> T1034,\nT1027 -> s(T1034),\nX7765 -> s(s(s(s(T1034)))),\nX7751 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1442 -> 3364 [arrowhead = none ];
3364 -> 1444;

3365 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1442 -> 3365 [arrowhead = none ];
3365 -> 1445;

3366 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1443 -> 3366 [arrowhead = none ];
3366 -> 1447;

3367 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1443 -> 3367 [arrowhead = none ];
3367 -> 1448;

3368 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1444 -> 3368 [arrowhead = none ];
3368 -> 1446;

3369 [label="EVAL with clause\nquot(s(X7786), s(X7787), X7788, X7789) :- quot(X7786, X7787, X7788, X7789).\nand substitutionX7786 -> T1043,\nT1026 -> s(T1043),\nX7787 -> T1044,\nT1027 -> s(T1044),\nX7788 -> s(s(s(s(s(T1044))))),\nX7751 -> X7790,\nX7789 -> X7790", fontsize=14, style = filled, fillcolor = lightblue];
1447 -> 3369 [arrowhead = none ];
3369 -> 1449;

3370 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1447 -> 3370 [arrowhead = none ];
3370 -> 1450;

3371 [label="EVAL with clause\nquot(X9026, 0, s(X9027), s(X9028)) :- quot(X9026, s(X9027), s(X9027), X9028).\nand substitutionT1026 -> T1319,\nX9026 -> T1319,\nT1027 -> 0,\nX9027 -> s(s(s(0))),\nX9028 -> X9029,\nX7751 -> s(X9029)", fontsize=14, style = filled, fillcolor = lightblue];
1448 -> 3371 [arrowhead = none ];
3371 -> 1748;

3372 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1448 -> 3372 [arrowhead = none ];
3372 -> 1749;

3373 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1449 -> 3373 [arrowhead = none ];
3373 -> 1451;

3374 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1451 -> 3374 [arrowhead = none ];
3374 -> 1452;

3375 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1451 -> 3375 [arrowhead = none ];
3375 -> 1453;

3376 [label="EVAL with clause\nquot(0, s(X7803), s(X7804), 0).\nand substitutionT1043 -> 0,\nX7803 -> T1051,\nT1044 -> s(T1051),\nX7804 -> s(s(s(s(s(T1051))))),\nX7790 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1452 -> 3376 [arrowhead = none ];
3376 -> 1454;

3377 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1452 -> 3377 [arrowhead = none ];
3377 -> 1455;

3378 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1453 -> 3378 [arrowhead = none ];
3378 -> 1457;

3379 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1453 -> 3379 [arrowhead = none ];
3379 -> 1458;

3380 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1454 -> 3380 [arrowhead = none ];
3380 -> 1456;

3381 [label="EVAL with clause\nquot(s(X7825), s(X7826), X7827, X7828) :- quot(X7825, X7826, X7827, X7828).\nand substitutionX7825 -> T1060,\nT1043 -> s(T1060),\nX7826 -> T1061,\nT1044 -> s(T1061),\nX7827 -> s(s(s(s(s(s(T1061)))))),\nX7790 -> X7829,\nX7828 -> X7829", fontsize=14, style = filled, fillcolor = lightblue];
1457 -> 3381 [arrowhead = none ];
3381 -> 1459;

3382 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1457 -> 3382 [arrowhead = none ];
3382 -> 1460;

3383 [label="EVAL with clause\nquot(X8774, 0, s(X8775), s(X8776)) :- quot(X8774, s(X8775), s(X8775), X8776).\nand substitutionT1043 -> T1282,\nX8774 -> T1282,\nT1044 -> 0,\nX8775 -> s(s(s(s(0)))),\nX8776 -> X8777,\nX7790 -> s(X8777)", fontsize=14, style = filled, fillcolor = lightblue];
1458 -> 3383 [arrowhead = none ];
3383 -> 1687;

3384 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1458 -> 3384 [arrowhead = none ];
3384 -> 1688;

3385 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1459 -> 3385 [arrowhead = none ];
3385 -> 1461;

3386 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1461 -> 3386 [arrowhead = none ];
3386 -> 1462;

3387 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1461 -> 3387 [arrowhead = none ];
3387 -> 1463;

3388 [label="EVAL with clause\nquot(0, s(X7842), s(X7843), 0).\nand substitutionT1060 -> 0,\nX7842 -> T1068,\nT1061 -> s(T1068),\nX7843 -> s(s(s(s(s(s(T1068)))))),\nX7829 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1462 -> 3388 [arrowhead = none ];
3388 -> 1464;

3389 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1462 -> 3389 [arrowhead = none ];
3389 -> 1465;

3390 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1463 -> 3390 [arrowhead = none ];
3390 -> 1467;

3391 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1463 -> 3391 [arrowhead = none ];
3391 -> 1468;

3392 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1464 -> 3392 [arrowhead = none ];
3392 -> 1466;

3393 [label="EVAL with clause\nquot(s(X7864), s(X7865), X7866, X7867) :- quot(X7864, X7865, X7866, X7867).\nand substitutionX7864 -> T1077,\nT1060 -> s(T1077),\nX7865 -> T1078,\nT1061 -> s(T1078),\nX7866 -> s(s(s(s(s(s(s(T1078))))))),\nX7829 -> X7868,\nX7867 -> X7868", fontsize=14, style = filled, fillcolor = lightblue];
1467 -> 3393 [arrowhead = none ];
3393 -> 1469;

3394 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1467 -> 3394 [arrowhead = none ];
3394 -> 1470;

3395 [label="EVAL with clause\nquot(X8480, 0, s(X8481), s(X8482)) :- quot(X8480, s(X8481), s(X8481), X8482).\nand substitutionT1060 -> T1239,\nX8480 -> T1239,\nT1061 -> 0,\nX8481 -> s(s(s(s(s(0))))),\nX8482 -> X8483,\nX7829 -> s(X8483)", fontsize=14, style = filled, fillcolor = lightblue];
1468 -> 3395 [arrowhead = none ];
3395 -> 1615;

3396 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1468 -> 3396 [arrowhead = none ];
3396 -> 1616;

3397 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1469 -> 3397 [arrowhead = none ];
3397 -> 1471;

3398 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1471 -> 3398 [arrowhead = none ];
3398 -> 1472;

3399 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1471 -> 3399 [arrowhead = none ];
3399 -> 1473;

3400 [label="EVAL with clause\nquot(0, s(X7881), s(X7882), 0).\nand substitutionT1077 -> 0,\nX7881 -> T1085,\nT1078 -> s(T1085),\nX7882 -> s(s(s(s(s(s(s(T1085))))))),\nX7868 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1472 -> 3400 [arrowhead = none ];
3400 -> 1474;

3401 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1472 -> 3401 [arrowhead = none ];
3401 -> 1475;

3402 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1473 -> 3402 [arrowhead = none ];
3402 -> 1477;

3403 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1473 -> 3403 [arrowhead = none ];
3403 -> 1478;

3404 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1474 -> 3404 [arrowhead = none ];
3404 -> 1476;

3405 [label="EVAL with clause\nquot(s(X7903), s(X7904), X7905, X7906) :- quot(X7903, X7904, X7905, X7906).\nand substitutionX7903 -> T1094,\nT1077 -> s(T1094),\nX7904 -> T1095,\nT1078 -> s(T1095),\nX7905 -> s(s(s(s(s(s(s(s(T1095)))))))),\nX7868 -> X7907,\nX7906 -> X7907", fontsize=14, style = filled, fillcolor = lightblue];
1477 -> 3405 [arrowhead = none ];
3405 -> 1479;

3406 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1477 -> 3406 [arrowhead = none ];
3406 -> 1480;

3407 [label="EVAL with clause\nquot(X8144, 0, s(X8145), s(X8146)) :- quot(X8144, s(X8145), s(X8145), X8146).\nand substitutionT1077 -> T1190,\nX8144 -> T1190,\nT1078 -> 0,\nX8145 -> s(s(s(s(s(s(0)))))),\nX8146 -> X8147,\nX7868 -> s(X8147)", fontsize=14, style = filled, fillcolor = lightblue];
1478 -> 3407 [arrowhead = none ];
3407 -> 1532;

3408 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1478 -> 3408 [arrowhead = none ];
3408 -> 1533;

3409 [label="GENERALIZATION\nT1098 <-- s(s(s(s(s(s(s(T1095)))))))\n\nNew Knowledge:\nT1098 is ground", fontsize=14, style = filled, fillcolor = violet];
1479 -> 3409 [arrowhead = none ];
3409 -> 1481;

3410 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1481 -> 3410 [arrowhead = none ];
3410 -> 1482;

3411 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1482 -> 3411 [arrowhead = none ];
3411 -> 1483;

3412 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1482 -> 3412 [arrowhead = none ];
3412 -> 1484;

3413 [label="EVAL with clause\nquot(0, s(X7924), s(X7925), 0).\nand substitutionT1094 -> 0,\nX7924 -> T1111,\nT1095 -> s(T1111),\nT1098 -> T1112,\nX7925 -> T1112,\nX7907 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1483 -> 3413 [arrowhead = none ];
3413 -> 1485;

3414 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1483 -> 3414 [arrowhead = none ];
3414 -> 1486;

3415 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1484 -> 3415 [arrowhead = none ];
3415 -> 1488;

3416 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1484 -> 3416 [arrowhead = none ];
3416 -> 1489;

3417 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1485 -> 3417 [arrowhead = none ];
3417 -> 1487;

3418 [label="EVAL with clause\nquot(s(X7946), s(X7947), X7948, X7949) :- quot(X7946, X7947, X7948, X7949).\nand substitutionX7946 -> T1125,\nT1094 -> s(T1125),\nX7947 -> T1126,\nT1095 -> s(T1126),\nT1098 -> T1127,\nX7948 -> s(T1127),\nX7907 -> X7950,\nX7949 -> X7950", fontsize=14, style = filled, fillcolor = lightblue];
1488 -> 3418 [arrowhead = none ];
3418 -> 1490;

3419 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1488 -> 3419 [arrowhead = none ];
3419 -> 1491;

3420 [label="EVAL with clause\nquot(X7963, 0, s(X7964), s(X7965)) :- quot(X7963, s(X7964), s(X7964), X7965).\nand substitutionT1094 -> T1136,\nX7963 -> T1136,\nT1095 -> 0,\nT1098 -> T1137,\nX7964 -> T1137,\nX7965 -> X7966,\nX7907 -> s(X7966)", fontsize=14, style = filled, fillcolor = lightblue];
1489 -> 3420 [arrowhead = none ];
3420 -> 1492;

3421 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1489 -> 3421 [arrowhead = none ];
3421 -> 1493;

3422 [label="INSTANCE with matching:\nT1094 -> T1125\nT1095 -> T1126\nT1098 -> T1127\nX7907 -> X7950", fontsize=14, style = filled, fillcolor = lightgrey];
1490 -> 3422 [arrowhead = none , style=dashed];
3422 -> 1481[style=dashed];

3423 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1492 -> 3423 [arrowhead = none ];
3423 -> 1494;

3424 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1494 -> 3424 [arrowhead = none ];
3424 -> 1495;

3425 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1494 -> 3425 [arrowhead = none ];
3425 -> 1496;

3426 [label="EVAL with clause\nquot(0, s(X7979), s(X7980), 0).\nand substitutionT1136 -> 0,\nT1137 -> T1144,\nX7979 -> T1144,\nX7980 -> T1144,\nX7966 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1495 -> 3426 [arrowhead = none ];
3426 -> 1497;

3427 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1495 -> 3427 [arrowhead = none ];
3427 -> 1498;

3428 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1496 -> 3428 [arrowhead = none ];
3428 -> 1500;

3429 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1496 -> 3429 [arrowhead = none ];
3429 -> 1501;

3430 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1497 -> 3430 [arrowhead = none ];
3430 -> 1499;

3431 [label="EVAL with clause\nquot(s(X8001), s(X8002), X8003, X8004) :- quot(X8001, X8002, X8003, X8004).\nand substitutionX8001 -> T1153,\nT1136 -> s(T1153),\nT1137 -> T1154,\nX8002 -> T1154,\nX8003 -> s(T1154),\nX7966 -> X8005,\nX8004 -> X8005", fontsize=14, style = filled, fillcolor = lightblue];
1500 -> 3431 [arrowhead = none ];
3431 -> 1502;

3432 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1500 -> 3432 [arrowhead = none ];
3432 -> 1503;

3433 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1501 -> 3433 [arrowhead = none ];
3433 -> 1531;

3434 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1502 -> 3434 [arrowhead = none ];
3434 -> 1504;

3435 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1504 -> 3435 [arrowhead = none ];
3435 -> 1505;

3436 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1504 -> 3436 [arrowhead = none ];
3436 -> 1506;

3437 [label="EVAL with clause\nquot(0, s(X8018), s(X8019), 0).\nand substitutionT1153 -> 0,\nX8018 -> T1161,\nT1154 -> s(T1161),\nX8019 -> s(T1161),\nX8005 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1505 -> 3437 [arrowhead = none ];
3437 -> 1507;

3438 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1505 -> 3438 [arrowhead = none ];
3438 -> 1508;

3439 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1506 -> 3439 [arrowhead = none ];
3439 -> 1510;

3440 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1506 -> 3440 [arrowhead = none ];
3440 -> 1511;

3441 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1507 -> 3441 [arrowhead = none ];
3441 -> 1509;

3442 [label="EVAL with clause\nquot(s(X8040), s(X8041), X8042, X8043) :- quot(X8040, X8041, X8042, X8043).\nand substitutionX8040 -> T1170,\nT1153 -> s(T1170),\nX8041 -> T1171,\nT1154 -> s(T1171),\nX8042 -> s(s(T1171)),\nX8005 -> X8044,\nX8043 -> X8044", fontsize=14, style = filled, fillcolor = lightblue];
1510 -> 3442 [arrowhead = none ];
3442 -> 1512;

3443 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1510 -> 3443 [arrowhead = none ];
3443 -> 1513;

3444 [label="EVAL with clause\nquot(X8057, 0, s(X8058), s(X8059)) :- quot(X8057, s(X8058), s(X8058), X8059).\nand substitutionT1153 -> T1176,\nX8057 -> T1176,\nT1154 -> 0,\nX8058 -> 0,\nX8059 -> X8060,\nX8005 -> s(X8060)", fontsize=14, style = filled, fillcolor = lightblue];
1511 -> 3444 [arrowhead = none ];
3444 -> 1514;

3445 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1511 -> 3445 [arrowhead = none ];
3445 -> 1515;

3446 [label="INSTANCE with matching:\nT992 -> T1170\nT993 -> T1171\nX7673 -> X8044", fontsize=14, style = filled, fillcolor = lightgrey];
1512 -> 3446 [arrowhead = none , style=dashed];
3446 -> 1419[style=dashed];

3447 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1514 -> 3447 [arrowhead = none ];
3447 -> 1516;

3448 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1516 -> 3448 [arrowhead = none ];
3448 -> 1517;

3449 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1516 -> 3449 [arrowhead = none ];
3449 -> 1518;

3450 [label="EVAL with clause\nquot(0, s(X8073), s(X8074), 0).\nand substitutionT1176 -> 0,\nX8073 -> 0,\nX8074 -> 0,\nX8060 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1517 -> 3450 [arrowhead = none ];
3450 -> 1519;

3451 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1517 -> 3451 [arrowhead = none ];
3451 -> 1520;

3452 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1518 -> 3452 [arrowhead = none ];
3452 -> 1522;

3453 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1518 -> 3453 [arrowhead = none ];
3453 -> 1523;

3454 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1519 -> 3454 [arrowhead = none ];
3454 -> 1521;

3455 [label="EVAL with clause\nquot(s(X8095), s(X8096), X8097, X8098) :- quot(X8095, X8096, X8097, X8098).\nand substitutionX8095 -> T1181,\nT1176 -> s(T1181),\nX8096 -> 0,\nX8097 -> s(0),\nX8060 -> X8099,\nX8098 -> X8099", fontsize=14, style = filled, fillcolor = lightblue];
1522 -> 3455 [arrowhead = none ];
3455 -> 1524;

3456 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1522 -> 3456 [arrowhead = none ];
3456 -> 1525;

3457 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1523 -> 3457 [arrowhead = none ];
3457 -> 1530;

3458 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1524 -> 3458 [arrowhead = none ];
3458 -> 1526;

3459 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1526 -> 3459 [arrowhead = none ];
3459 -> 1527;

3460 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1527 -> 3460 [arrowhead = none ];
3460 -> 1528;

3461 [label="ONLY EVAL with clause\nquot(X8122, 0, s(X8123), s(X8124)) :- quot(X8122, s(X8123), s(X8123), X8124).\nand substitutionT1181 -> T1185,\nX8122 -> T1185,\nX8123 -> 0,\nX8124 -> X8125,\nX8099 -> s(X8125)", fontsize=14, style = filled, fillcolor = lightblue];
1528 -> 3461 [arrowhead = none ];
3461 -> 1529;

3462 [label="INSTANCE with matching:\nT1176 -> T1185\nX8060 -> X8125", fontsize=14, style = filled, fillcolor = lightgrey];
1529 -> 3462 [arrowhead = none , style=dashed];
3462 -> 1514[style=dashed];

3463 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1532 -> 3463 [arrowhead = none ];
3463 -> 1534;

3464 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1534 -> 3464 [arrowhead = none ];
3464 -> 1535;

3465 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1534 -> 3465 [arrowhead = none ];
3465 -> 1536;

3466 [label="EVAL with clause\nquot(0, s(X8160), s(X8161), 0).\nand substitutionT1190 -> 0,\nX8160 -> s(s(s(s(s(s(0)))))),\nX8161 -> s(s(s(s(s(s(0)))))),\nX8147 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1535 -> 3466 [arrowhead = none ];
3466 -> 1537;

3467 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1535 -> 3467 [arrowhead = none ];
3467 -> 1538;

3468 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1536 -> 3468 [arrowhead = none ];
3468 -> 1540;

3469 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1536 -> 3469 [arrowhead = none ];
3469 -> 1541;

3470 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1537 -> 3470 [arrowhead = none ];
3470 -> 1539;

3471 [label="EVAL with clause\nquot(s(X8182), s(X8183), X8184, X8185) :- quot(X8182, X8183, X8184, X8185).\nand substitutionX8182 -> T1195,\nT1190 -> s(T1195),\nX8183 -> s(s(s(s(s(s(0)))))),\nX8184 -> s(s(s(s(s(s(s(0))))))),\nX8147 -> X8186,\nX8185 -> X8186", fontsize=14, style = filled, fillcolor = lightblue];
1540 -> 3471 [arrowhead = none ];
3471 -> 1542;

3472 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1540 -> 3472 [arrowhead = none ];
3472 -> 1543;

3473 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1541 -> 3473 [arrowhead = none ];
3473 -> 1614;

3474 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1542 -> 3474 [arrowhead = none ];
3474 -> 1544;

3475 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1544 -> 3475 [arrowhead = none ];
3475 -> 1545;

3476 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1544 -> 3476 [arrowhead = none ];
3476 -> 1546;

3477 [label="EVAL with clause\nquot(0, s(X8199), s(X8200), 0).\nand substitutionT1195 -> 0,\nX8199 -> s(s(s(s(s(0))))),\nX8200 -> s(s(s(s(s(s(0)))))),\nX8186 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1545 -> 3477 [arrowhead = none ];
3477 -> 1547;

3478 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1545 -> 3478 [arrowhead = none ];
3478 -> 1548;

3479 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1546 -> 3479 [arrowhead = none ];
3479 -> 1550;

3480 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1546 -> 3480 [arrowhead = none ];
3480 -> 1551;

3481 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1547 -> 3481 [arrowhead = none ];
3481 -> 1549;

3482 [label="EVAL with clause\nquot(s(X8221), s(X8222), X8223, X8224) :- quot(X8221, X8222, X8223, X8224).\nand substitutionX8221 -> T1200,\nT1195 -> s(T1200),\nX8222 -> s(s(s(s(s(0))))),\nX8223 -> s(s(s(s(s(s(s(0))))))),\nX8186 -> X8225,\nX8224 -> X8225", fontsize=14, style = filled, fillcolor = lightblue];
1550 -> 3482 [arrowhead = none ];
3482 -> 1552;

3483 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1550 -> 3483 [arrowhead = none ];
3483 -> 1553;

3484 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1551 -> 3484 [arrowhead = none ];
3484 -> 1613;

3485 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1552 -> 3485 [arrowhead = none ];
3485 -> 1554;

3486 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1554 -> 3486 [arrowhead = none ];
3486 -> 1555;

3487 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1554 -> 3487 [arrowhead = none ];
3487 -> 1556;

3488 [label="EVAL with clause\nquot(0, s(X8238), s(X8239), 0).\nand substitutionT1200 -> 0,\nX8238 -> s(s(s(s(0)))),\nX8239 -> s(s(s(s(s(s(0)))))),\nX8225 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1555 -> 3488 [arrowhead = none ];
3488 -> 1557;

3489 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1555 -> 3489 [arrowhead = none ];
3489 -> 1558;

3490 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1556 -> 3490 [arrowhead = none ];
3490 -> 1560;

3491 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1556 -> 3491 [arrowhead = none ];
3491 -> 1561;

3492 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1557 -> 3492 [arrowhead = none ];
3492 -> 1559;

3493 [label="EVAL with clause\nquot(s(X8260), s(X8261), X8262, X8263) :- quot(X8260, X8261, X8262, X8263).\nand substitutionX8260 -> T1205,\nT1200 -> s(T1205),\nX8261 -> s(s(s(s(0)))),\nX8262 -> s(s(s(s(s(s(s(0))))))),\nX8225 -> X8264,\nX8263 -> X8264", fontsize=14, style = filled, fillcolor = lightblue];
1560 -> 3493 [arrowhead = none ];
3493 -> 1562;

3494 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1560 -> 3494 [arrowhead = none ];
3494 -> 1563;

3495 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1561 -> 3495 [arrowhead = none ];
3495 -> 1612;

3496 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1562 -> 3496 [arrowhead = none ];
3496 -> 1564;

3497 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1564 -> 3497 [arrowhead = none ];
3497 -> 1565;

3498 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1564 -> 3498 [arrowhead = none ];
3498 -> 1566;

3499 [label="EVAL with clause\nquot(0, s(X8277), s(X8278), 0).\nand substitutionT1205 -> 0,\nX8277 -> s(s(s(0))),\nX8278 -> s(s(s(s(s(s(0)))))),\nX8264 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1565 -> 3499 [arrowhead = none ];
3499 -> 1567;

3500 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1565 -> 3500 [arrowhead = none ];
3500 -> 1568;

3501 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1566 -> 3501 [arrowhead = none ];
3501 -> 1570;

3502 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1566 -> 3502 [arrowhead = none ];
3502 -> 1571;

3503 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1567 -> 3503 [arrowhead = none ];
3503 -> 1569;

3504 [label="EVAL with clause\nquot(s(X8299), s(X8300), X8301, X8302) :- quot(X8299, X8300, X8301, X8302).\nand substitutionX8299 -> T1210,\nT1205 -> s(T1210),\nX8300 -> s(s(s(0))),\nX8301 -> s(s(s(s(s(s(s(0))))))),\nX8264 -> X8303,\nX8302 -> X8303", fontsize=14, style = filled, fillcolor = lightblue];
1570 -> 3504 [arrowhead = none ];
3504 -> 1572;

3505 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1570 -> 3505 [arrowhead = none ];
3505 -> 1573;

3506 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1571 -> 3506 [arrowhead = none ];
3506 -> 1611;

3507 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1572 -> 3507 [arrowhead = none ];
3507 -> 1574;

3508 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1574 -> 3508 [arrowhead = none ];
3508 -> 1575;

3509 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1574 -> 3509 [arrowhead = none ];
3509 -> 1576;

3510 [label="EVAL with clause\nquot(0, s(X8316), s(X8317), 0).\nand substitutionT1210 -> 0,\nX8316 -> s(s(0)),\nX8317 -> s(s(s(s(s(s(0)))))),\nX8303 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1575 -> 3510 [arrowhead = none ];
3510 -> 1577;

3511 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1575 -> 3511 [arrowhead = none ];
3511 -> 1578;

3512 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1576 -> 3512 [arrowhead = none ];
3512 -> 1580;

3513 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1576 -> 3513 [arrowhead = none ];
3513 -> 1581;

3514 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1577 -> 3514 [arrowhead = none ];
3514 -> 1579;

3515 [label="EVAL with clause\nquot(s(X8338), s(X8339), X8340, X8341) :- quot(X8338, X8339, X8340, X8341).\nand substitutionX8338 -> T1215,\nT1210 -> s(T1215),\nX8339 -> s(s(0)),\nX8340 -> s(s(s(s(s(s(s(0))))))),\nX8303 -> X8342,\nX8341 -> X8342", fontsize=14, style = filled, fillcolor = lightblue];
1580 -> 3515 [arrowhead = none ];
3515 -> 1582;

3516 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1580 -> 3516 [arrowhead = none ];
3516 -> 1583;

3517 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1581 -> 3517 [arrowhead = none ];
3517 -> 1610;

3518 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1582 -> 3518 [arrowhead = none ];
3518 -> 1584;

3519 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1584 -> 3519 [arrowhead = none ];
3519 -> 1585;

3520 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1584 -> 3520 [arrowhead = none ];
3520 -> 1586;

3521 [label="EVAL with clause\nquot(0, s(X8355), s(X8356), 0).\nand substitutionT1215 -> 0,\nX8355 -> s(0),\nX8356 -> s(s(s(s(s(s(0)))))),\nX8342 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1585 -> 3521 [arrowhead = none ];
3521 -> 1587;

3522 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1585 -> 3522 [arrowhead = none ];
3522 -> 1588;

3523 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1586 -> 3523 [arrowhead = none ];
3523 -> 1590;

3524 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1586 -> 3524 [arrowhead = none ];
3524 -> 1591;

3525 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1587 -> 3525 [arrowhead = none ];
3525 -> 1589;

3526 [label="EVAL with clause\nquot(s(X8377), s(X8378), X8379, X8380) :- quot(X8377, X8378, X8379, X8380).\nand substitutionX8377 -> T1220,\nT1215 -> s(T1220),\nX8378 -> s(0),\nX8379 -> s(s(s(s(s(s(s(0))))))),\nX8342 -> X8381,\nX8380 -> X8381", fontsize=14, style = filled, fillcolor = lightblue];
1590 -> 3526 [arrowhead = none ];
3526 -> 1592;

3527 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1590 -> 3527 [arrowhead = none ];
3527 -> 1593;

3528 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1591 -> 3528 [arrowhead = none ];
3528 -> 1609;

3529 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1592 -> 3529 [arrowhead = none ];
3529 -> 1594;

3530 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1594 -> 3530 [arrowhead = none ];
3530 -> 1595;

3531 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1594 -> 3531 [arrowhead = none ];
3531 -> 1596;

3532 [label="EVAL with clause\nquot(0, s(X8394), s(X8395), 0).\nand substitutionT1220 -> 0,\nX8394 -> 0,\nX8395 -> s(s(s(s(s(s(0)))))),\nX8381 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1595 -> 3532 [arrowhead = none ];
3532 -> 1597;

3533 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1595 -> 3533 [arrowhead = none ];
3533 -> 1598;

3534 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1596 -> 3534 [arrowhead = none ];
3534 -> 1600;

3535 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1596 -> 3535 [arrowhead = none ];
3535 -> 1601;

3536 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1597 -> 3536 [arrowhead = none ];
3536 -> 1599;

3537 [label="EVAL with clause\nquot(s(X8416), s(X8417), X8418, X8419) :- quot(X8416, X8417, X8418, X8419).\nand substitutionX8416 -> T1225,\nT1220 -> s(T1225),\nX8417 -> 0,\nX8418 -> s(s(s(s(s(s(s(0))))))),\nX8381 -> X8420,\nX8419 -> X8420", fontsize=14, style = filled, fillcolor = lightblue];
1600 -> 3537 [arrowhead = none ];
3537 -> 1602;

3538 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1600 -> 3538 [arrowhead = none ];
3538 -> 1603;

3539 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1601 -> 3539 [arrowhead = none ];
3539 -> 1608;

3540 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1602 -> 3540 [arrowhead = none ];
3540 -> 1604;

3541 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1604 -> 3541 [arrowhead = none ];
3541 -> 1605;

3542 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1605 -> 3542 [arrowhead = none ];
3542 -> 1606;

3543 [label="ONLY EVAL with clause\nquot(X8443, 0, s(X8444), s(X8445)) :- quot(X8443, s(X8444), s(X8444), X8445).\nand substitutionT1225 -> T1229,\nX8443 -> T1229,\nX8444 -> s(s(s(s(s(s(0)))))),\nX8445 -> X8446,\nX8420 -> s(X8446)", fontsize=14, style = filled, fillcolor = lightblue];
1606 -> 3543 [arrowhead = none ];
3543 -> 1607;

3544 [label="INSTANCE with matching:\nT1190 -> T1229\nX8147 -> X8446", fontsize=14, style = filled, fillcolor = lightgrey];
1607 -> 3544 [arrowhead = none , style=dashed];
3544 -> 1532[style=dashed];

3545 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1615 -> 3545 [arrowhead = none ];
3545 -> 1617;

3546 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1617 -> 3546 [arrowhead = none ];
3546 -> 1618;

3547 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1617 -> 3547 [arrowhead = none ];
3547 -> 1619;

3548 [label="EVAL with clause\nquot(0, s(X8496), s(X8497), 0).\nand substitutionT1239 -> 0,\nX8496 -> s(s(s(s(s(0))))),\nX8497 -> s(s(s(s(s(0))))),\nX8483 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1618 -> 3548 [arrowhead = none ];
3548 -> 1620;

3549 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1618 -> 3549 [arrowhead = none ];
3549 -> 1621;

3550 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1619 -> 3550 [arrowhead = none ];
3550 -> 1623;

3551 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1619 -> 3551 [arrowhead = none ];
3551 -> 1624;

3552 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1620 -> 3552 [arrowhead = none ];
3552 -> 1622;

3553 [label="EVAL with clause\nquot(s(X8518), s(X8519), X8520, X8521) :- quot(X8518, X8519, X8520, X8521).\nand substitutionX8518 -> T1244,\nT1239 -> s(T1244),\nX8519 -> s(s(s(s(s(0))))),\nX8520 -> s(s(s(s(s(s(0)))))),\nX8483 -> X8522,\nX8521 -> X8522", fontsize=14, style = filled, fillcolor = lightblue];
1623 -> 3553 [arrowhead = none ];
3553 -> 1625;

3554 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1623 -> 3554 [arrowhead = none ];
3554 -> 1626;

3555 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1624 -> 3555 [arrowhead = none ];
3555 -> 1686;

3556 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1625 -> 3556 [arrowhead = none ];
3556 -> 1627;

3557 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1627 -> 3557 [arrowhead = none ];
3557 -> 1628;

3558 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1627 -> 3558 [arrowhead = none ];
3558 -> 1629;

3559 [label="EVAL with clause\nquot(0, s(X8535), s(X8536), 0).\nand substitutionT1244 -> 0,\nX8535 -> s(s(s(s(0)))),\nX8536 -> s(s(s(s(s(0))))),\nX8522 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1628 -> 3559 [arrowhead = none ];
3559 -> 1630;

3560 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1628 -> 3560 [arrowhead = none ];
3560 -> 1631;

3561 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1629 -> 3561 [arrowhead = none ];
3561 -> 1633;

3562 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1629 -> 3562 [arrowhead = none ];
3562 -> 1634;

3563 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1630 -> 3563 [arrowhead = none ];
3563 -> 1632;

3564 [label="EVAL with clause\nquot(s(X8557), s(X8558), X8559, X8560) :- quot(X8557, X8558, X8559, X8560).\nand substitutionX8557 -> T1249,\nT1244 -> s(T1249),\nX8558 -> s(s(s(s(0)))),\nX8559 -> s(s(s(s(s(s(0)))))),\nX8522 -> X8561,\nX8560 -> X8561", fontsize=14, style = filled, fillcolor = lightblue];
1633 -> 3564 [arrowhead = none ];
3564 -> 1635;

3565 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1633 -> 3565 [arrowhead = none ];
3565 -> 1636;

3566 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1634 -> 3566 [arrowhead = none ];
3566 -> 1685;

3567 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1635 -> 3567 [arrowhead = none ];
3567 -> 1637;

3568 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1637 -> 3568 [arrowhead = none ];
3568 -> 1638;

3569 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1637 -> 3569 [arrowhead = none ];
3569 -> 1639;

3570 [label="EVAL with clause\nquot(0, s(X8574), s(X8575), 0).\nand substitutionT1249 -> 0,\nX8574 -> s(s(s(0))),\nX8575 -> s(s(s(s(s(0))))),\nX8561 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1638 -> 3570 [arrowhead = none ];
3570 -> 1640;

3571 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1638 -> 3571 [arrowhead = none ];
3571 -> 1641;

3572 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1639 -> 3572 [arrowhead = none ];
3572 -> 1643;

3573 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1639 -> 3573 [arrowhead = none ];
3573 -> 1644;

3574 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1640 -> 3574 [arrowhead = none ];
3574 -> 1642;

3575 [label="EVAL with clause\nquot(s(X8596), s(X8597), X8598, X8599) :- quot(X8596, X8597, X8598, X8599).\nand substitutionX8596 -> T1254,\nT1249 -> s(T1254),\nX8597 -> s(s(s(0))),\nX8598 -> s(s(s(s(s(s(0)))))),\nX8561 -> X8600,\nX8599 -> X8600", fontsize=14, style = filled, fillcolor = lightblue];
1643 -> 3575 [arrowhead = none ];
3575 -> 1645;

3576 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1643 -> 3576 [arrowhead = none ];
3576 -> 1646;

3577 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1644 -> 3577 [arrowhead = none ];
3577 -> 1684;

3578 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1645 -> 3578 [arrowhead = none ];
3578 -> 1647;

3579 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1647 -> 3579 [arrowhead = none ];
3579 -> 1648;

3580 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1647 -> 3580 [arrowhead = none ];
3580 -> 1649;

3581 [label="EVAL with clause\nquot(0, s(X8613), s(X8614), 0).\nand substitutionT1254 -> 0,\nX8613 -> s(s(0)),\nX8614 -> s(s(s(s(s(0))))),\nX8600 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1648 -> 3581 [arrowhead = none ];
3581 -> 1650;

3582 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1648 -> 3582 [arrowhead = none ];
3582 -> 1651;

3583 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1649 -> 3583 [arrowhead = none ];
3583 -> 1653;

3584 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1649 -> 3584 [arrowhead = none ];
3584 -> 1654;

3585 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1650 -> 3585 [arrowhead = none ];
3585 -> 1652;

3586 [label="EVAL with clause\nquot(s(X8635), s(X8636), X8637, X8638) :- quot(X8635, X8636, X8637, X8638).\nand substitutionX8635 -> T1259,\nT1254 -> s(T1259),\nX8636 -> s(s(0)),\nX8637 -> s(s(s(s(s(s(0)))))),\nX8600 -> X8639,\nX8638 -> X8639", fontsize=14, style = filled, fillcolor = lightblue];
1653 -> 3586 [arrowhead = none ];
3586 -> 1655;

3587 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1653 -> 3587 [arrowhead = none ];
3587 -> 1656;

3588 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1654 -> 3588 [arrowhead = none ];
3588 -> 1683;

3589 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1655 -> 3589 [arrowhead = none ];
3589 -> 1657;

3590 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1657 -> 3590 [arrowhead = none ];
3590 -> 1658;

3591 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1657 -> 3591 [arrowhead = none ];
3591 -> 1659;

3592 [label="EVAL with clause\nquot(0, s(X8652), s(X8653), 0).\nand substitutionT1259 -> 0,\nX8652 -> s(0),\nX8653 -> s(s(s(s(s(0))))),\nX8639 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1658 -> 3592 [arrowhead = none ];
3592 -> 1660;

3593 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1658 -> 3593 [arrowhead = none ];
3593 -> 1661;

3594 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1659 -> 3594 [arrowhead = none ];
3594 -> 1663;

3595 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1659 -> 3595 [arrowhead = none ];
3595 -> 1664;

3596 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1660 -> 3596 [arrowhead = none ];
3596 -> 1662;

3597 [label="EVAL with clause\nquot(s(X8674), s(X8675), X8676, X8677) :- quot(X8674, X8675, X8676, X8677).\nand substitutionX8674 -> T1264,\nT1259 -> s(T1264),\nX8675 -> s(0),\nX8676 -> s(s(s(s(s(s(0)))))),\nX8639 -> X8678,\nX8677 -> X8678", fontsize=14, style = filled, fillcolor = lightblue];
1663 -> 3597 [arrowhead = none ];
3597 -> 1665;

3598 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1663 -> 3598 [arrowhead = none ];
3598 -> 1666;

3599 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1664 -> 3599 [arrowhead = none ];
3599 -> 1682;

3600 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1665 -> 3600 [arrowhead = none ];
3600 -> 1667;

3601 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1667 -> 3601 [arrowhead = none ];
3601 -> 1668;

3602 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1667 -> 3602 [arrowhead = none ];
3602 -> 1669;

3603 [label="EVAL with clause\nquot(0, s(X8691), s(X8692), 0).\nand substitutionT1264 -> 0,\nX8691 -> 0,\nX8692 -> s(s(s(s(s(0))))),\nX8678 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1668 -> 3603 [arrowhead = none ];
3603 -> 1670;

3604 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1668 -> 3604 [arrowhead = none ];
3604 -> 1671;

3605 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1669 -> 3605 [arrowhead = none ];
3605 -> 1673;

3606 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1669 -> 3606 [arrowhead = none ];
3606 -> 1674;

3607 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1670 -> 3607 [arrowhead = none ];
3607 -> 1672;

3608 [label="EVAL with clause\nquot(s(X8713), s(X8714), X8715, X8716) :- quot(X8713, X8714, X8715, X8716).\nand substitutionX8713 -> T1269,\nT1264 -> s(T1269),\nX8714 -> 0,\nX8715 -> s(s(s(s(s(s(0)))))),\nX8678 -> X8717,\nX8716 -> X8717", fontsize=14, style = filled, fillcolor = lightblue];
1673 -> 3608 [arrowhead = none ];
3608 -> 1675;

3609 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1673 -> 3609 [arrowhead = none ];
3609 -> 1676;

3610 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1674 -> 3610 [arrowhead = none ];
3610 -> 1681;

3611 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1675 -> 3611 [arrowhead = none ];
3611 -> 1677;

3612 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1677 -> 3612 [arrowhead = none ];
3612 -> 1678;

3613 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1678 -> 3613 [arrowhead = none ];
3613 -> 1679;

3614 [label="ONLY EVAL with clause\nquot(X8740, 0, s(X8741), s(X8742)) :- quot(X8740, s(X8741), s(X8741), X8742).\nand substitutionT1269 -> T1273,\nX8740 -> T1273,\nX8741 -> s(s(s(s(s(0))))),\nX8742 -> X8743,\nX8717 -> s(X8743)", fontsize=14, style = filled, fillcolor = lightblue];
1679 -> 3614 [arrowhead = none ];
3614 -> 1680;

3615 [label="INSTANCE with matching:\nT1239 -> T1273\nX8483 -> X8743", fontsize=14, style = filled, fillcolor = lightgrey];
1680 -> 3615 [arrowhead = none , style=dashed];
3615 -> 1615[style=dashed];

3616 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1687 -> 3616 [arrowhead = none ];
3616 -> 1689;

3617 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1689 -> 3617 [arrowhead = none ];
3617 -> 1690;

3618 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1689 -> 3618 [arrowhead = none ];
3618 -> 1691;

3619 [label="EVAL with clause\nquot(0, s(X8790), s(X8791), 0).\nand substitutionT1282 -> 0,\nX8790 -> s(s(s(s(0)))),\nX8791 -> s(s(s(s(0)))),\nX8777 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1690 -> 3619 [arrowhead = none ];
3619 -> 1692;

3620 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1690 -> 3620 [arrowhead = none ];
3620 -> 1693;

3621 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1691 -> 3621 [arrowhead = none ];
3621 -> 1695;

3622 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1691 -> 3622 [arrowhead = none ];
3622 -> 1696;

3623 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1692 -> 3623 [arrowhead = none ];
3623 -> 1694;

3624 [label="EVAL with clause\nquot(s(X8812), s(X8813), X8814, X8815) :- quot(X8812, X8813, X8814, X8815).\nand substitutionX8812 -> T1287,\nT1282 -> s(T1287),\nX8813 -> s(s(s(s(0)))),\nX8814 -> s(s(s(s(s(0))))),\nX8777 -> X8816,\nX8815 -> X8816", fontsize=14, style = filled, fillcolor = lightblue];
1695 -> 3624 [arrowhead = none ];
3624 -> 1697;

3625 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1695 -> 3625 [arrowhead = none ];
3625 -> 1698;

3626 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1696 -> 3626 [arrowhead = none ];
3626 -> 1747;

3627 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1697 -> 3627 [arrowhead = none ];
3627 -> 1699;

3628 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1699 -> 3628 [arrowhead = none ];
3628 -> 1700;

3629 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1699 -> 3629 [arrowhead = none ];
3629 -> 1701;

3630 [label="EVAL with clause\nquot(0, s(X8829), s(X8830), 0).\nand substitutionT1287 -> 0,\nX8829 -> s(s(s(0))),\nX8830 -> s(s(s(s(0)))),\nX8816 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1700 -> 3630 [arrowhead = none ];
3630 -> 1702;

3631 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1700 -> 3631 [arrowhead = none ];
3631 -> 1703;

3632 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1701 -> 3632 [arrowhead = none ];
3632 -> 1705;

3633 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1701 -> 3633 [arrowhead = none ];
3633 -> 1706;

3634 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1702 -> 3634 [arrowhead = none ];
3634 -> 1704;

3635 [label="EVAL with clause\nquot(s(X8851), s(X8852), X8853, X8854) :- quot(X8851, X8852, X8853, X8854).\nand substitutionX8851 -> T1292,\nT1287 -> s(T1292),\nX8852 -> s(s(s(0))),\nX8853 -> s(s(s(s(s(0))))),\nX8816 -> X8855,\nX8854 -> X8855", fontsize=14, style = filled, fillcolor = lightblue];
1705 -> 3635 [arrowhead = none ];
3635 -> 1707;

3636 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1705 -> 3636 [arrowhead = none ];
3636 -> 1708;

3637 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1706 -> 3637 [arrowhead = none ];
3637 -> 1746;

3638 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1707 -> 3638 [arrowhead = none ];
3638 -> 1709;

3639 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1709 -> 3639 [arrowhead = none ];
3639 -> 1710;

3640 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1709 -> 3640 [arrowhead = none ];
3640 -> 1711;

3641 [label="EVAL with clause\nquot(0, s(X8868), s(X8869), 0).\nand substitutionT1292 -> 0,\nX8868 -> s(s(0)),\nX8869 -> s(s(s(s(0)))),\nX8855 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1710 -> 3641 [arrowhead = none ];
3641 -> 1712;

3642 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1710 -> 3642 [arrowhead = none ];
3642 -> 1713;

3643 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1711 -> 3643 [arrowhead = none ];
3643 -> 1715;

3644 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1711 -> 3644 [arrowhead = none ];
3644 -> 1716;

3645 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1712 -> 3645 [arrowhead = none ];
3645 -> 1714;

3646 [label="EVAL with clause\nquot(s(X8890), s(X8891), X8892, X8893) :- quot(X8890, X8891, X8892, X8893).\nand substitutionX8890 -> T1297,\nT1292 -> s(T1297),\nX8891 -> s(s(0)),\nX8892 -> s(s(s(s(s(0))))),\nX8855 -> X8894,\nX8893 -> X8894", fontsize=14, style = filled, fillcolor = lightblue];
1715 -> 3646 [arrowhead = none ];
3646 -> 1717;

3647 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1715 -> 3647 [arrowhead = none ];
3647 -> 1718;

3648 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1716 -> 3648 [arrowhead = none ];
3648 -> 1745;

3649 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1717 -> 3649 [arrowhead = none ];
3649 -> 1719;

3650 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1719 -> 3650 [arrowhead = none ];
3650 -> 1720;

3651 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1719 -> 3651 [arrowhead = none ];
3651 -> 1721;

3652 [label="EVAL with clause\nquot(0, s(X8907), s(X8908), 0).\nand substitutionT1297 -> 0,\nX8907 -> s(0),\nX8908 -> s(s(s(s(0)))),\nX8894 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1720 -> 3652 [arrowhead = none ];
3652 -> 1722;

3653 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1720 -> 3653 [arrowhead = none ];
3653 -> 1723;

3654 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1721 -> 3654 [arrowhead = none ];
3654 -> 1725;

3655 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1721 -> 3655 [arrowhead = none ];
3655 -> 1726;

3656 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1722 -> 3656 [arrowhead = none ];
3656 -> 1724;

3657 [label="EVAL with clause\nquot(s(X8929), s(X8930), X8931, X8932) :- quot(X8929, X8930, X8931, X8932).\nand substitutionX8929 -> T1302,\nT1297 -> s(T1302),\nX8930 -> s(0),\nX8931 -> s(s(s(s(s(0))))),\nX8894 -> X8933,\nX8932 -> X8933", fontsize=14, style = filled, fillcolor = lightblue];
1725 -> 3657 [arrowhead = none ];
3657 -> 1727;

3658 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1725 -> 3658 [arrowhead = none ];
3658 -> 1728;

3659 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1726 -> 3659 [arrowhead = none ];
3659 -> 1744;

3660 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1727 -> 3660 [arrowhead = none ];
3660 -> 1729;

3661 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1729 -> 3661 [arrowhead = none ];
3661 -> 1730;

3662 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1729 -> 3662 [arrowhead = none ];
3662 -> 1731;

3663 [label="EVAL with clause\nquot(0, s(X8946), s(X8947), 0).\nand substitutionT1302 -> 0,\nX8946 -> 0,\nX8947 -> s(s(s(s(0)))),\nX8933 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1730 -> 3663 [arrowhead = none ];
3663 -> 1732;

3664 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1730 -> 3664 [arrowhead = none ];
3664 -> 1733;

3665 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1731 -> 3665 [arrowhead = none ];
3665 -> 1735;

3666 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1731 -> 3666 [arrowhead = none ];
3666 -> 1736;

3667 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1732 -> 3667 [arrowhead = none ];
3667 -> 1734;

3668 [label="EVAL with clause\nquot(s(X8968), s(X8969), X8970, X8971) :- quot(X8968, X8969, X8970, X8971).\nand substitutionX8968 -> T1307,\nT1302 -> s(T1307),\nX8969 -> 0,\nX8970 -> s(s(s(s(s(0))))),\nX8933 -> X8972,\nX8971 -> X8972", fontsize=14, style = filled, fillcolor = lightblue];
1735 -> 3668 [arrowhead = none ];
3668 -> 1737;

3669 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1735 -> 3669 [arrowhead = none ];
3669 -> 1738;

3670 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1736 -> 3670 [arrowhead = none ];
3670 -> 1743;

3671 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1737 -> 3671 [arrowhead = none ];
3671 -> 1739;

3672 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1739 -> 3672 [arrowhead = none ];
3672 -> 1740;

3673 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1740 -> 3673 [arrowhead = none ];
3673 -> 1741;

3674 [label="ONLY EVAL with clause\nquot(X8995, 0, s(X8996), s(X8997)) :- quot(X8995, s(X8996), s(X8996), X8997).\nand substitutionT1307 -> T1311,\nX8995 -> T1311,\nX8996 -> s(s(s(s(0)))),\nX8997 -> X8998,\nX8972 -> s(X8998)", fontsize=14, style = filled, fillcolor = lightblue];
1741 -> 3674 [arrowhead = none ];
3674 -> 1742;

3675 [label="INSTANCE with matching:\nT1282 -> T1311\nX8777 -> X8998", fontsize=14, style = filled, fillcolor = lightgrey];
1742 -> 3675 [arrowhead = none , style=dashed];
3675 -> 1687[style=dashed];

3676 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1748 -> 3676 [arrowhead = none ];
3676 -> 1750;

3677 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1750 -> 3677 [arrowhead = none ];
3677 -> 1751;

3678 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1750 -> 3678 [arrowhead = none ];
3678 -> 1752;

3679 [label="EVAL with clause\nquot(0, s(X9042), s(X9043), 0).\nand substitutionT1319 -> 0,\nX9042 -> s(s(s(0))),\nX9043 -> s(s(s(0))),\nX9029 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1751 -> 3679 [arrowhead = none ];
3679 -> 1753;

3680 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1751 -> 3680 [arrowhead = none ];
3680 -> 1754;

3681 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1752 -> 3681 [arrowhead = none ];
3681 -> 1756;

3682 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1752 -> 3682 [arrowhead = none ];
3682 -> 1757;

3683 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1753 -> 3683 [arrowhead = none ];
3683 -> 1755;

3684 [label="EVAL with clause\nquot(s(X9064), s(X9065), X9066, X9067) :- quot(X9064, X9065, X9066, X9067).\nand substitutionX9064 -> T1324,\nT1319 -> s(T1324),\nX9065 -> s(s(s(0))),\nX9066 -> s(s(s(s(0)))),\nX9029 -> X9068,\nX9067 -> X9068", fontsize=14, style = filled, fillcolor = lightblue];
1756 -> 3684 [arrowhead = none ];
3684 -> 1758;

3685 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1756 -> 3685 [arrowhead = none ];
3685 -> 1759;

3686 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1757 -> 3686 [arrowhead = none ];
3686 -> 1797;

3687 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1758 -> 3687 [arrowhead = none ];
3687 -> 1760;

3688 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1760 -> 3688 [arrowhead = none ];
3688 -> 1761;

3689 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1760 -> 3689 [arrowhead = none ];
3689 -> 1762;

3690 [label="EVAL with clause\nquot(0, s(X9081), s(X9082), 0).\nand substitutionT1324 -> 0,\nX9081 -> s(s(0)),\nX9082 -> s(s(s(0))),\nX9068 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1761 -> 3690 [arrowhead = none ];
3690 -> 1763;

3691 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1761 -> 3691 [arrowhead = none ];
3691 -> 1764;

3692 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1762 -> 3692 [arrowhead = none ];
3692 -> 1766;

3693 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1762 -> 3693 [arrowhead = none ];
3693 -> 1767;

3694 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1763 -> 3694 [arrowhead = none ];
3694 -> 1765;

3695 [label="EVAL with clause\nquot(s(X9103), s(X9104), X9105, X9106) :- quot(X9103, X9104, X9105, X9106).\nand substitutionX9103 -> T1329,\nT1324 -> s(T1329),\nX9104 -> s(s(0)),\nX9105 -> s(s(s(s(0)))),\nX9068 -> X9107,\nX9106 -> X9107", fontsize=14, style = filled, fillcolor = lightblue];
1766 -> 3695 [arrowhead = none ];
3695 -> 1768;

3696 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1766 -> 3696 [arrowhead = none ];
3696 -> 1769;

3697 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1767 -> 3697 [arrowhead = none ];
3697 -> 1796;

3698 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1768 -> 3698 [arrowhead = none ];
3698 -> 1770;

3699 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1770 -> 3699 [arrowhead = none ];
3699 -> 1771;

3700 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1770 -> 3700 [arrowhead = none ];
3700 -> 1772;

3701 [label="EVAL with clause\nquot(0, s(X9120), s(X9121), 0).\nand substitutionT1329 -> 0,\nX9120 -> s(0),\nX9121 -> s(s(s(0))),\nX9107 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1771 -> 3701 [arrowhead = none ];
3701 -> 1773;

3702 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1771 -> 3702 [arrowhead = none ];
3702 -> 1774;

3703 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1772 -> 3703 [arrowhead = none ];
3703 -> 1776;

3704 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1772 -> 3704 [arrowhead = none ];
3704 -> 1777;

3705 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1773 -> 3705 [arrowhead = none ];
3705 -> 1775;

3706 [label="EVAL with clause\nquot(s(X9142), s(X9143), X9144, X9145) :- quot(X9142, X9143, X9144, X9145).\nand substitutionX9142 -> T1334,\nT1329 -> s(T1334),\nX9143 -> s(0),\nX9144 -> s(s(s(s(0)))),\nX9107 -> X9146,\nX9145 -> X9146", fontsize=14, style = filled, fillcolor = lightblue];
1776 -> 3706 [arrowhead = none ];
3706 -> 1778;

3707 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1776 -> 3707 [arrowhead = none ];
3707 -> 1779;

3708 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1777 -> 3708 [arrowhead = none ];
3708 -> 1795;

3709 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1778 -> 3709 [arrowhead = none ];
3709 -> 1780;

3710 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1780 -> 3710 [arrowhead = none ];
3710 -> 1781;

3711 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1780 -> 3711 [arrowhead = none ];
3711 -> 1782;

3712 [label="EVAL with clause\nquot(0, s(X9159), s(X9160), 0).\nand substitutionT1334 -> 0,\nX9159 -> 0,\nX9160 -> s(s(s(0))),\nX9146 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1781 -> 3712 [arrowhead = none ];
3712 -> 1783;

3713 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1781 -> 3713 [arrowhead = none ];
3713 -> 1784;

3714 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1782 -> 3714 [arrowhead = none ];
3714 -> 1786;

3715 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1782 -> 3715 [arrowhead = none ];
3715 -> 1787;

3716 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1783 -> 3716 [arrowhead = none ];
3716 -> 1785;

3717 [label="EVAL with clause\nquot(s(X9181), s(X9182), X9183, X9184) :- quot(X9181, X9182, X9183, X9184).\nand substitutionX9181 -> T1339,\nT1334 -> s(T1339),\nX9182 -> 0,\nX9183 -> s(s(s(s(0)))),\nX9146 -> X9185,\nX9184 -> X9185", fontsize=14, style = filled, fillcolor = lightblue];
1786 -> 3717 [arrowhead = none ];
3717 -> 1788;

3718 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1786 -> 3718 [arrowhead = none ];
3718 -> 1789;

3719 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1787 -> 3719 [arrowhead = none ];
3719 -> 1794;

3720 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1788 -> 3720 [arrowhead = none ];
3720 -> 1790;

3721 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1790 -> 3721 [arrowhead = none ];
3721 -> 1791;

3722 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1791 -> 3722 [arrowhead = none ];
3722 -> 1792;

3723 [label="ONLY EVAL with clause\nquot(X9208, 0, s(X9209), s(X9210)) :- quot(X9208, s(X9209), s(X9209), X9210).\nand substitutionT1339 -> T1343,\nX9208 -> T1343,\nX9209 -> s(s(s(0))),\nX9210 -> X9211,\nX9185 -> s(X9211)", fontsize=14, style = filled, fillcolor = lightblue];
1792 -> 3723 [arrowhead = none ];
3723 -> 1793;

3724 [label="INSTANCE with matching:\nT1319 -> T1343\nX9029 -> X9211", fontsize=14, style = filled, fillcolor = lightgrey];
1793 -> 3724 [arrowhead = none , style=dashed];
3724 -> 1748[style=dashed];

3725 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1798 -> 3725 [arrowhead = none ];
3725 -> 1800;

3726 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1800 -> 3726 [arrowhead = none ];
3726 -> 1801;

3727 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1800 -> 3727 [arrowhead = none ];
3727 -> 1802;

3728 [label="EVAL with clause\nquot(0, s(X9252), s(X9253), 0).\nand substitutionT1350 -> 0,\nX9252 -> s(s(0)),\nX9253 -> s(s(0)),\nX9239 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1801 -> 3728 [arrowhead = none ];
3728 -> 1803;

3729 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1801 -> 3729 [arrowhead = none ];
3729 -> 1804;

3730 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1802 -> 3730 [arrowhead = none ];
3730 -> 1806;

3731 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1802 -> 3731 [arrowhead = none ];
3731 -> 1807;

3732 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1803 -> 3732 [arrowhead = none ];
3732 -> 1805;

3733 [label="EVAL with clause\nquot(s(X9274), s(X9275), X9276, X9277) :- quot(X9274, X9275, X9276, X9277).\nand substitutionX9274 -> T1355,\nT1350 -> s(T1355),\nX9275 -> s(s(0)),\nX9276 -> s(s(s(0))),\nX9239 -> X9278,\nX9277 -> X9278", fontsize=14, style = filled, fillcolor = lightblue];
1806 -> 3733 [arrowhead = none ];
3733 -> 1808;

3734 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1806 -> 3734 [arrowhead = none ];
3734 -> 1809;

3735 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1807 -> 3735 [arrowhead = none ];
3735 -> 1836;

3736 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1808 -> 3736 [arrowhead = none ];
3736 -> 1810;

3737 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1810 -> 3737 [arrowhead = none ];
3737 -> 1811;

3738 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1810 -> 3738 [arrowhead = none ];
3738 -> 1812;

3739 [label="EVAL with clause\nquot(0, s(X9291), s(X9292), 0).\nand substitutionT1355 -> 0,\nX9291 -> s(0),\nX9292 -> s(s(0)),\nX9278 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1811 -> 3739 [arrowhead = none ];
3739 -> 1813;

3740 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1811 -> 3740 [arrowhead = none ];
3740 -> 1814;

3741 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1812 -> 3741 [arrowhead = none ];
3741 -> 1816;

3742 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1812 -> 3742 [arrowhead = none ];
3742 -> 1817;

3743 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1813 -> 3743 [arrowhead = none ];
3743 -> 1815;

3744 [label="EVAL with clause\nquot(s(X9313), s(X9314), X9315, X9316) :- quot(X9313, X9314, X9315, X9316).\nand substitutionX9313 -> T1360,\nT1355 -> s(T1360),\nX9314 -> s(0),\nX9315 -> s(s(s(0))),\nX9278 -> X9317,\nX9316 -> X9317", fontsize=14, style = filled, fillcolor = lightblue];
1816 -> 3744 [arrowhead = none ];
3744 -> 1818;

3745 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1816 -> 3745 [arrowhead = none ];
3745 -> 1819;

3746 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1817 -> 3746 [arrowhead = none ];
3746 -> 1835;

3747 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1818 -> 3747 [arrowhead = none ];
3747 -> 1820;

3748 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1820 -> 3748 [arrowhead = none ];
3748 -> 1821;

3749 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1820 -> 3749 [arrowhead = none ];
3749 -> 1822;

3750 [label="EVAL with clause\nquot(0, s(X9330), s(X9331), 0).\nand substitutionT1360 -> 0,\nX9330 -> 0,\nX9331 -> s(s(0)),\nX9317 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1821 -> 3750 [arrowhead = none ];
3750 -> 1823;

3751 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1821 -> 3751 [arrowhead = none ];
3751 -> 1824;

3752 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1822 -> 3752 [arrowhead = none ];
3752 -> 1826;

3753 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1822 -> 3753 [arrowhead = none ];
3753 -> 1827;

3754 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1823 -> 3754 [arrowhead = none ];
3754 -> 1825;

3755 [label="EVAL with clause\nquot(s(X9352), s(X9353), X9354, X9355) :- quot(X9352, X9353, X9354, X9355).\nand substitutionX9352 -> T1365,\nT1360 -> s(T1365),\nX9353 -> 0,\nX9354 -> s(s(s(0))),\nX9317 -> X9356,\nX9355 -> X9356", fontsize=14, style = filled, fillcolor = lightblue];
1826 -> 3755 [arrowhead = none ];
3755 -> 1828;

3756 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1826 -> 3756 [arrowhead = none ];
3756 -> 1829;

3757 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1827 -> 3757 [arrowhead = none ];
3757 -> 1834;

3758 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1828 -> 3758 [arrowhead = none ];
3758 -> 1830;

3759 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1830 -> 3759 [arrowhead = none ];
3759 -> 1831;

3760 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1831 -> 3760 [arrowhead = none ];
3760 -> 1832;

3761 [label="ONLY EVAL with clause\nquot(X9379, 0, s(X9380), s(X9381)) :- quot(X9379, s(X9380), s(X9380), X9381).\nand substitutionT1365 -> T1369,\nX9379 -> T1369,\nX9380 -> s(s(0)),\nX9381 -> X9382,\nX9356 -> s(X9382)", fontsize=14, style = filled, fillcolor = lightblue];
1832 -> 3761 [arrowhead = none ];
3761 -> 1833;

3762 [label="INSTANCE with matching:\nT1350 -> T1369\nX9239 -> X9382", fontsize=14, style = filled, fillcolor = lightgrey];
1833 -> 3762 [arrowhead = none , style=dashed];
3762 -> 1798[style=dashed];

3763 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1837 -> 3763 [arrowhead = none ];
3763 -> 1839;

3764 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1839 -> 3764 [arrowhead = none ];
3764 -> 1840;

3765 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1839 -> 3765 [arrowhead = none ];
3765 -> 1841;

3766 [label="EVAL with clause\nquot(0, s(X9420), s(X9421), 0).\nand substitutionT1375 -> 0,\nX9420 -> s(0),\nX9421 -> s(0),\nX9407 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1840 -> 3766 [arrowhead = none ];
3766 -> 1842;

3767 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1840 -> 3767 [arrowhead = none ];
3767 -> 1843;

3768 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1841 -> 3768 [arrowhead = none ];
3768 -> 1845;

3769 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1841 -> 3769 [arrowhead = none ];
3769 -> 1846;

3770 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1842 -> 3770 [arrowhead = none ];
3770 -> 1844;

3771 [label="EVAL with clause\nquot(s(X9442), s(X9443), X9444, X9445) :- quot(X9442, X9443, X9444, X9445).\nand substitutionX9442 -> T1380,\nT1375 -> s(T1380),\nX9443 -> s(0),\nX9444 -> s(s(0)),\nX9407 -> X9446,\nX9445 -> X9446", fontsize=14, style = filled, fillcolor = lightblue];
1845 -> 3771 [arrowhead = none ];
3771 -> 1847;

3772 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1845 -> 3772 [arrowhead = none ];
3772 -> 1848;

3773 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1846 -> 3773 [arrowhead = none ];
3773 -> 1864;

3774 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1847 -> 3774 [arrowhead = none ];
3774 -> 1849;

3775 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1849 -> 3775 [arrowhead = none ];
3775 -> 1850;

3776 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1849 -> 3776 [arrowhead = none ];
3776 -> 1851;

3777 [label="EVAL with clause\nquot(0, s(X9459), s(X9460), 0).\nand substitutionT1380 -> 0,\nX9459 -> 0,\nX9460 -> s(0),\nX9446 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1850 -> 3777 [arrowhead = none ];
3777 -> 1852;

3778 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1850 -> 3778 [arrowhead = none ];
3778 -> 1853;

3779 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1851 -> 3779 [arrowhead = none ];
3779 -> 1855;

3780 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1851 -> 3780 [arrowhead = none ];
3780 -> 1856;

3781 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1852 -> 3781 [arrowhead = none ];
3781 -> 1854;

3782 [label="EVAL with clause\nquot(s(X9481), s(X9482), X9483, X9484) :- quot(X9481, X9482, X9483, X9484).\nand substitutionX9481 -> T1385,\nT1380 -> s(T1385),\nX9482 -> 0,\nX9483 -> s(s(0)),\nX9446 -> X9485,\nX9484 -> X9485", fontsize=14, style = filled, fillcolor = lightblue];
1855 -> 3782 [arrowhead = none ];
3782 -> 1857;

3783 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1855 -> 3783 [arrowhead = none ];
3783 -> 1858;

3784 [label="BACKTRACK\nfor clause: quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1856 -> 3784 [arrowhead = none ];
3784 -> 1863;

3785 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1857 -> 3785 [arrowhead = none ];
3785 -> 1859;

3786 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1859 -> 3786 [arrowhead = none ];
3786 -> 1860;

3787 [label="BACKTRACK\nfor clause: quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1860 -> 3787 [arrowhead = none ];
3787 -> 1861;

3788 [label="ONLY EVAL with clause\nquot(X9508, 0, s(X9509), s(X9510)) :- quot(X9508, s(X9509), s(X9509), X9510).\nand substitutionT1385 -> T1389,\nX9508 -> T1389,\nX9509 -> s(0),\nX9510 -> X9511,\nX9485 -> s(X9511)", fontsize=14, style = filled, fillcolor = lightblue];
1861 -> 3788 [arrowhead = none ];
3788 -> 1862;

3789 [label="INSTANCE with matching:\nT1375 -> T1389\nX9407 -> X9511", fontsize=14, style = filled, fillcolor = lightgrey];
1862 -> 3789 [arrowhead = none , style=dashed];
3789 -> 1837[style=dashed];

3790 [label="INSTANCE with matching:\nT22 -> T954\nT20 -> T950\nX35 -> X7571", fontsize=14, style = filled, fillcolor = lightgrey];
1867 -> 3790 [arrowhead = none , style=dashed];
3790 -> 190[style=dashed];

3791 [label="INSTANCE with matching:\nT216 -> T951\nT217 -> T1396", fontsize=14, style = filled, fillcolor = lightgrey];
1868 -> 3791 [arrowhead = none , style=dashed];
3791 -> 227[style=dashed];

3792 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1869 -> 3792 [arrowhead = none ];
3792 -> 1870;

3793 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1869 -> 3793 [arrowhead = none ];
3793 -> 1871;

3794 [label="EVAL with clause\npr(X9540, s(0)).\nand substitutionT939 -> T1407,\nX9540 -> s(T1407),\nT937 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1870 -> 3794 [arrowhead = none ];
3794 -> 1872;

3795 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1870 -> 3795 [arrowhead = none ];
3795 -> 1873;

3796 [label="EVAL with clause\npr(X9545, s(s(X9546))) :- ','(not_divides(s(s(X9546)), X9545), pr(X9545, s(X9546))).\nand substitutionT939 -> T1412,\nX9545 -> s(T1412),\nX9546 -> T1413,\nT937 -> s(T1413)", fontsize=14, style = filled, fillcolor = lightblue];
1871 -> 3796 [arrowhead = none ];
3796 -> 1875;

3797 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1871 -> 3797 [arrowhead = none ];
3797 -> 1876;

3798 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1872 -> 3798 [arrowhead = none ];
3798 -> 1874;

3799 [label="INSTANCE with matching:\nT937 -> T1413\nT939 -> T1412", fontsize=14, style = filled, fillcolor = lightgrey];
1875 -> 3799 [arrowhead = none , style=dashed];
3799 -> 1397[style=dashed];

}

(2) Obligation:

Triples:

quotA(s(X1), X2, X3) :- quotA(X1, X2, X3).
quotA(0, 0, s(s(X1))) :- quotB(X1).
timesC(s(X1), X2, X3) :- timesC(X1, X2, X4).
timesC(s(X1), X2, X3) :- ','(timescC(X1, X2, X4), addD(X4, X2, X3)).
addD(s(X1), X2, s(X3)) :- addD(X1, X2, X3).
neqE(s(X1), s(X2)) :- neqE(X1, X2).
quotF(s(X1), X2, X3) :- quotF(X1, X2, X3).
quotF(0, s(0), s(s(X1))) :- quotG(X1).
quotF(0, 0, s(s(X1))) :- quotH(X1).
neqI(X1, s(s(X2))) :- neqJ(X1, X2).
quotK(s(X1), X2, X3) :- quotK(X1, X2, X3).
quotK(0, s(s(0)), s(s(X1))) :- quotL(X1).
quotK(0, s(0), s(s(X1))) :- quotM(X1).
quotK(0, 0, s(s(X1))) :- quotN(X1).
quotH(s(X1)) :- quotB(X1).
quotO(s(X1), X2, X3) :- quotO(X1, X2, X3).
quotO(0, s(s(s(0))), s(s(X1))) :- quotP(X1).
quotO(0, s(s(0)), s(s(X1))) :- quotQ(X1).
quotO(0, s(0), s(s(X1))) :- quotR(X1).
quotO(0, 0, s(s(X1))) :- quotS(X1).
quotR(s(X1)) :- quotG(X1).
quotN(s(X1)) :- quotH(X1).
quotT(s(X1), X2, X3) :- quotT(X1, X2, X3).
quotT(0, s(s(s(s(0)))), s(s(X1))) :- quotU(X1).
quotT(0, s(s(s(0))), s(s(X1))) :- quotV(X1).
quotT(0, s(s(0)), s(s(X1))) :- quotW(X1).
quotT(0, s(0), s(s(X1))) :- quotX(X1).
quotT(0, 0, s(s(s(X1)))) :- quotS(X1).
quotX(s(X1)) :- quotM(X1).
quotS(s(X1)) :- quotN(X1).
quotY(s(X1), s(X2), X3, X4) :- quotY(X1, X2, X3, X4).
quotY(s(s(X1)), 0, s(X2), s(X3)) :- quotZ(X1, X2, X3).
quotY(s(X1), 0, 0, s(s(X2))) :- quotN1(X1, X2).
quotZ(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) :- quotY(X1, X2, s(s(s(s(s(s(s(X2))))))), X3).
quotZ(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) :- quotN2(X1, X2).
quotZ(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) :- quotN3(X1, X2).
quotZ(s(s(s(X1))), s(s(s(0))), s(X2)) :- quotN4(X1, X2).
quotZ(s(s(X1)), s(s(0)), s(X2)) :- quotN5(X1, X2).
quotZ(s(X1), s(0), s(X2)) :- quotN6(X1, X2).
quotZ(X1, 0, s(X2)) :- quotN7(X1, X2).
quotN1(s(X1), s(X2)) :- quotN1(X1, X2).
quotN2(s(s(s(s(s(s(s(X1))))))), s(X2)) :- quotN2(X1, X2).
quotN3(s(s(s(s(s(s(X1)))))), s(X2)) :- quotN3(X1, X2).
quotN4(s(s(s(s(s(X1))))), s(X2)) :- quotN4(X1, X2).
quotN5(s(s(s(s(X1)))), s(X2)) :- quotN5(X1, X2).
quotN6(s(s(s(X1))), s(X2)) :- quotN6(X1, X2).
quotN7(s(s(X1)), s(X2)) :- quotN7(X1, X2).
neqJ(X1, s(X2)) :- neqE(X1, X2).
pN8(X1, s(X2)) :- quotZ(X2, X1, X3).
pN8(X1, X2) :- ','(divcN20(X2, X1, X3), timesC(X3, X1, X4)).
pN8(X1, X2) :- ','(divcN20(X2, X1, X3), ','(timescC(X3, X1, X4), neqJ(X2, X4))).
pN8(s(X1), X2) :- ','(not_dividescN9(s(X1), X2), pN8(X1, X2)).
primeN21(s(s(s(s(s(s(s(s(s(X1)))))))))) :- quotA(X1, s(s(s(s(s(s(s(X1))))))), X2).
primeN21(s(s(s(s(s(0)))))) :- quotV(X1).
primeN21(s(s(s(s(0))))) :- quotQ(X1).
primeN21(s(s(s(0)))) :- quotM(X1).
primeN21(s(s(s(X1)))) :- ','(divcN11(X1, X2), timesC(X2, X1, X3)).
primeN21(s(s(s(X1)))) :- ','(divcN11(X1, X2), ','(timescC(X2, X1, X3), neqI(X1, X3))).
primeN21(s(s(s(s(s(s(s(s(s(s(X1))))))))))) :- ','(not_dividescN10(s(s(s(s(s(s(s(X1)))))))), quotF(X1, s(s(s(s(s(s(s(X1))))))), X2)).
primeN21(s(s(s(s(s(0)))))) :- ','(not_dividescN10(s(s(0))), quotW(X1)).
primeN21(s(s(s(s(0))))) :- ','(not_dividescN10(s(0)), quotR(X1)).
primeN21(s(s(s(s(X1))))) :- ','(not_dividescN10(s(X1)), ','(divcN13(X1, X2), timesC(X2, X1, X3))).
primeN21(s(s(s(s(X1))))) :- ','(not_dividescN10(s(X1)), ','(divcN13(X1, X2), ','(timescC(X2, X1, X3), neqI(s(X1), X3)))).
primeN21(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))) :- ','(not_dividescN10(s(s(s(s(s(s(s(s(X1))))))))), ','(not_dividescN12(s(s(s(s(s(s(s(X1)))))))), quotK(X1, s(s(s(s(s(s(s(X1))))))), X2))).
primeN21(s(s(s(s(s(s(0))))))) :- ','(not_dividescN10(s(s(s(0)))), ','(not_dividescN12(s(s(0))), quotL(X1))).
primeN21(s(s(s(s(s(0)))))) :- ','(not_dividescN10(s(s(0))), ','(not_dividescN12(s(0)), quotX(X1))).
primeN21(s(s(s(s(s(X1)))))) :- ','(not_dividescN10(s(s(X1))), ','(not_dividescN12(s(X1)), ','(divcN15(X1, X2), timesC(X2, X1, X3)))).
primeN21(s(s(s(s(s(X1)))))) :- ','(not_dividescN10(s(s(X1))), ','(not_dividescN12(s(X1)), ','(divcN15(X1, X2), ','(timescC(X2, X1, X3), neqI(s(s(X1)), X3))))).
primeN21(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))) :- ','(not_dividescN10(s(s(s(s(s(s(s(s(s(X1)))))))))), ','(not_dividescN12(s(s(s(s(s(s(s(s(X1))))))))), ','(not_dividescN14(s(s(s(s(s(s(s(X1)))))))), quotO(X1, s(s(s(s(s(s(s(X1))))))), X2)))).
primeN21(s(s(s(s(s(s(s(s(0))))))))) :- ','(not_dividescN10(s(s(s(s(s(0)))))), ','(not_dividescN12(s(s(s(s(0))))), ','(not_dividescN14(s(s(s(0)))), quotP(X1)))).
primeN21(s(s(s(s(s(s(s(0)))))))) :- ','(not_dividescN10(s(s(s(s(0))))), ','(not_dividescN12(s(s(s(0)))), ','(not_dividescN14(s(s(0))), quotQ(X1)))).
primeN21(s(s(s(s(s(s(0))))))) :- ','(not_dividescN10(s(s(s(0)))), ','(not_dividescN12(s(s(0))), ','(not_dividescN14(s(0)), quotR(X1)))).
primeN21(s(s(s(s(s(s(X1))))))) :- ','(not_dividescN10(s(s(s(X1)))), ','(not_dividescN12(s(s(X1))), ','(not_dividescN14(s(X1)), ','(divcN17(X1, X2), timesC(X2, X1, X3))))).
primeN21(s(s(s(s(s(s(X1))))))) :- ','(not_dividescN10(s(s(s(X1)))), ','(not_dividescN12(s(s(X1))), ','(not_dividescN14(s(X1)), ','(divcN17(X1, X2), ','(timescC(X2, X1, X3), neqI(s(s(s(X1))), X3)))))).
primeN21(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))) :- ','(not_dividescN10(s(s(s(s(s(s(s(s(s(s(X1))))))))))), ','(not_dividescN12(s(s(s(s(s(s(s(s(s(X1)))))))))), ','(not_dividescN14(s(s(s(s(s(s(s(s(X1))))))))), ','(not_dividescN16(s(s(s(s(s(s(s(X1)))))))), quotT(X1, s(s(s(s(s(s(s(X1))))))), X2))))).
primeN21(s(s(s(s(s(s(s(s(s(s(0))))))))))) :- ','(not_dividescN10(s(s(s(s(s(s(s(0)))))))), ','(not_dividescN12(s(s(s(s(s(s(0))))))), ','(not_dividescN14(s(s(s(s(s(0)))))), ','(not_dividescN16(s(s(s(s(0))))), quotU(X1))))).
primeN21(s(s(s(s(s(s(s(s(s(0)))))))))) :- ','(not_dividescN10(s(s(s(s(s(s(0))))))), ','(not_dividescN12(s(s(s(s(s(0)))))), ','(not_dividescN14(s(s(s(s(0))))), ','(not_dividescN16(s(s(s(0)))), quotV(X1))))).
primeN21(s(s(s(s(s(s(s(s(0))))))))) :- ','(not_dividescN10(s(s(s(s(s(0)))))), ','(not_dividescN12(s(s(s(s(0))))), ','(not_dividescN14(s(s(s(0)))), ','(not_dividescN16(s(s(0))), quotW(X1))))).
primeN21(s(s(s(s(s(s(s(0)))))))) :- ','(not_dividescN10(s(s(s(s(0))))), ','(not_dividescN12(s(s(s(0)))), ','(not_dividescN14(s(s(0))), ','(not_dividescN16(s(0)), quotX(X1))))).
primeN21(s(s(s(s(s(s(s(X1)))))))) :- ','(not_dividescN10(s(s(s(s(X1))))), ','(not_dividescN12(s(s(s(X1)))), ','(not_dividescN14(s(s(X1))), ','(not_dividescN16(s(X1)), ','(divcN19(X1, X2), timesC(X2, X1, X3)))))).
primeN21(s(s(s(s(s(s(s(X1)))))))) :- ','(not_dividescN10(s(s(s(s(X1))))), ','(not_dividescN12(s(s(s(X1)))), ','(not_dividescN14(s(s(X1))), ','(not_dividescN16(s(X1)), ','(divcN19(X1, X2), ','(timescC(X2, X1, X3), neqI(s(s(s(s(X1)))), X3))))))).
primeN21(s(s(s(s(s(s(s(s(X1))))))))) :- ','(not_dividescN10(s(s(s(s(s(X1)))))), ','(not_dividescN12(s(s(s(s(X1))))), ','(not_dividescN14(s(s(s(X1)))), ','(not_dividescN16(s(s(X1))), ','(not_dividescN18(s(X1)), pN8(X1, s(s(s(s(s(s(s(X1))))))))))))).

Clauses:

quotcA(s(X1), X2, X3) :- quotcA(X1, X2, X3).
quotcA(0, s(X1), s(0)).
quotcA(0, 0, s(s(X1))) :- quotcB(X1).
timescC(0, X1, 0).
timescC(s(X1), X2, X3) :- ','(timescC(X1, X2, X4), addcD(X4, X2, X3)).
addcD(0, X1, s(s(X1))).
addcD(s(X1), X2, s(X3)) :- addcD(X1, X2, X3).
neqcE(s(X1), 0).
neqcE(0, s(X1)).
neqcE(s(X1), s(X2)) :- neqcE(X1, X2).
quotcF(s(X1), X2, X3) :- quotcF(X1, X2, X3).
quotcF(0, s(s(X1)), s(0)).
quotcF(0, s(0), s(s(X1))) :- quotcG(X1).
quotcF(0, 0, s(s(X1))) :- quotcH(X1).
quotcB(0).
quotcG(0).
neqcI(X1, 0).
neqcI(X1, s(0)).
neqcI(X1, s(s(X2))) :- neqcJ(X1, X2).
quotcK(s(X1), X2, X3) :- quotcK(X1, X2, X3).
quotcK(0, s(s(s(X1))), s(0)).
quotcK(0, s(s(0)), s(s(X1))) :- quotcL(X1).
quotcK(0, s(0), s(s(X1))) :- quotcM(X1).
quotcK(0, 0, s(s(X1))) :- quotcN(X1).
quotcM(0).
quotcH(s(X1)) :- quotcB(X1).
quotcL(0).
quotcO(s(X1), X2, X3) :- quotcO(X1, X2, X3).
quotcO(0, s(s(s(s(X1)))), s(0)).
quotcO(0, s(s(s(0))), s(s(X1))) :- quotcP(X1).
quotcO(0, s(s(0)), s(s(X1))) :- quotcQ(X1).
quotcO(0, s(0), s(s(X1))) :- quotcR(X1).
quotcO(0, 0, s(s(X1))) :- quotcS(X1).
quotcQ(0).
quotcR(s(X1)) :- quotcG(X1).
quotcN(s(X1)) :- quotcH(X1).
quotcP(0).
quotcT(s(X1), X2, X3) :- quotcT(X1, X2, X3).
quotcT(0, s(s(s(s(s(X1))))), s(0)).
quotcT(0, s(s(s(s(0)))), s(s(X1))) :- quotcU(X1).
quotcT(0, s(s(s(0))), s(s(X1))) :- quotcV(X1).
quotcT(0, s(s(0)), s(s(X1))) :- quotcW(X1).
quotcT(0, s(0), s(s(X1))) :- quotcX(X1).
quotcT(0, 0, s(s(s(X1)))) :- quotcS(X1).
quotcV(0).
quotcW(0).
quotcX(s(X1)) :- quotcM(X1).
quotcS(s(X1)) :- quotcN(X1).
quotcU(0).
quotcY(0, s(X1), X2, 0).
quotcY(s(X1), s(X2), X3, X4) :- quotcY(X1, X2, X3, X4).
quotcY(0, 0, X1, s(0)).
quotcY(s(0), 0, s(X1), s(0)).
quotcY(s(s(X1)), 0, s(X2), s(X3)) :- quotcZ(X1, X2, X3).
quotcY(s(X1), 0, 0, s(s(X2))) :- quotcN1(X1, X2).
quotcZ(0, s(X1), 0).
quotcZ(s(0), s(s(X1)), 0).
quotcZ(s(s(0)), s(s(s(X1))), 0).
quotcZ(s(s(s(0))), s(s(s(s(X1)))), 0).
quotcZ(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0).
quotcZ(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0).
quotcZ(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) :- quotcY(X1, X2, s(s(s(s(s(s(s(X2))))))), X3).
quotcZ(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) :- quotcN2(X1, X2).
quotcZ(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) :- quotcN3(X1, X2).
quotcZ(s(s(s(X1))), s(s(s(0))), s(X2)) :- quotcN4(X1, X2).
quotcZ(s(s(X1)), s(s(0)), s(X2)) :- quotcN5(X1, X2).
quotcZ(s(X1), s(0), s(X2)) :- quotcN6(X1, X2).
quotcZ(X1, 0, s(X2)) :- quotcN7(X1, X2).
quotcN1(0, 0).
quotcN1(s(X1), s(X2)) :- quotcN1(X1, X2).
quotcN2(0, 0).
quotcN2(s(0), 0).
quotcN2(s(s(0)), 0).
quotcN2(s(s(s(0))), 0).
quotcN2(s(s(s(s(0)))), 0).
quotcN2(s(s(s(s(s(0))))), 0).
quotcN2(s(s(s(s(s(s(0)))))), 0).
quotcN2(s(s(s(s(s(s(s(X1))))))), s(X2)) :- quotcN2(X1, X2).
quotcN3(0, 0).
quotcN3(s(0), 0).
quotcN3(s(s(0)), 0).
quotcN3(s(s(s(0))), 0).
quotcN3(s(s(s(s(0)))), 0).
quotcN3(s(s(s(s(s(0))))), 0).
quotcN3(s(s(s(s(s(s(X1)))))), s(X2)) :- quotcN3(X1, X2).
quotcN4(0, 0).
quotcN4(s(0), 0).
quotcN4(s(s(0)), 0).
quotcN4(s(s(s(0))), 0).
quotcN4(s(s(s(s(0)))), 0).
quotcN4(s(s(s(s(s(X1))))), s(X2)) :- quotcN4(X1, X2).
quotcN5(0, 0).
quotcN5(s(0), 0).
quotcN5(s(s(0)), 0).
quotcN5(s(s(s(0))), 0).
quotcN5(s(s(s(s(X1)))), s(X2)) :- quotcN5(X1, X2).
quotcN6(0, 0).
quotcN6(s(0), 0).
quotcN6(s(s(0)), 0).
quotcN6(s(s(s(X1))), s(X2)) :- quotcN6(X1, X2).
quotcN7(0, 0).
quotcN7(s(0), 0).
quotcN7(s(s(X1)), s(X2)) :- quotcN7(X1, X2).
neqcJ(X1, 0).
neqcJ(X1, s(X2)) :- neqcE(X1, X2).
qcN8(0, X1) :- not_dividescN9(0, X1).
qcN8(s(X1), X2) :- ','(not_dividescN9(s(X1), X2), qcN8(X1, X2)).
not_dividescN10(X1) :- ','(divcN11(X1, X2), ','(timescC(X2, X1, X3), neqcI(X1, X3))).
divcN11(s(s(s(s(s(s(X1)))))), X2) :- quotcA(X1, s(s(s(s(s(s(s(X1))))))), X2).
divcN11(s(s(s(s(s(0))))), s(0)).
divcN11(s(s(s(s(0)))), s(0)).
divcN11(s(s(s(0))), s(0)).
divcN11(s(s(0)), s(X1)) :- quotcV(X1).
divcN11(s(0), s(X1)) :- quotcQ(X1).
divcN11(0, s(X1)) :- quotcM(X1).
not_dividescN12(X1) :- ','(divcN13(X1, X2), ','(timescC(X2, X1, X3), neqcI(s(X1), X3))).
divcN13(s(s(s(s(s(s(X1)))))), X2) :- quotcF(X1, s(s(s(s(s(s(s(X1))))))), X2).
divcN13(s(s(s(s(s(0))))), s(0)).
divcN13(s(s(s(s(0)))), s(0)).
divcN13(s(s(s(0))), s(0)).
divcN13(s(s(0)), s(0)).
divcN13(s(0), s(X1)) :- quotcW(X1).
divcN13(0, s(X1)) :- quotcR(X1).
not_dividescN14(X1) :- ','(divcN15(X1, X2), ','(timescC(X2, X1, X3), neqcI(s(s(X1)), X3))).
divcN15(s(s(s(s(s(s(X1)))))), X2) :- quotcK(X1, s(s(s(s(s(s(s(X1))))))), X2).
divcN15(s(s(s(s(s(0))))), s(0)).
divcN15(s(s(s(s(0)))), s(0)).
divcN15(s(s(s(0))), s(0)).
divcN15(s(s(0)), s(0)).
divcN15(s(0), s(s(X1))) :- quotcL(X1).
divcN15(0, s(X1)) :- quotcX(X1).
not_dividescN16(X1) :- ','(divcN17(X1, X2), ','(timescC(X2, X1, X3), neqcI(s(s(s(X1))), X3))).
divcN17(s(s(s(s(s(s(X1)))))), X2) :- quotcO(X1, s(s(s(s(s(s(s(X1))))))), X2).
divcN17(s(s(s(s(s(0))))), s(0)).
divcN17(s(s(s(s(0)))), s(0)).
divcN17(s(s(s(0))), s(0)).
divcN17(s(s(0)), s(s(X1))) :- quotcP(X1).
divcN17(s(0), s(s(X1))) :- quotcQ(X1).
divcN17(0, s(s(X1))) :- quotcR(X1).
not_dividescN18(X1) :- ','(divcN19(X1, X2), ','(timescC(X2, X1, X3), neqcI(s(s(s(s(X1)))), X3))).
divcN19(s(s(s(s(s(s(X1)))))), X2) :- quotcT(X1, s(s(s(s(s(s(s(X1))))))), X2).
divcN19(s(s(s(s(s(0))))), s(0)).
divcN19(s(s(s(s(0)))), s(0)).
divcN19(s(s(s(0))), s(s(X1))) :- quotcU(X1).
divcN19(s(s(0)), s(s(X1))) :- quotcV(X1).
divcN19(s(0), s(s(X1))) :- quotcW(X1).
divcN19(0, s(s(X1))) :- quotcX(X1).
not_dividescN9(X1, X2) :- ','(divcN20(X2, X1, X3), ','(timescC(X3, X1, X4), neqcJ(X2, X4))).
divcN20(0, X1, 0).
divcN20(s(X1), X2, X3) :- quotcZ(X1, X2, X3).

Afs:

primeN21(x1) = primeN21(x1)

(3) UndefinedPredicateInTriplesTransformerProof (SOUND transformation)

Deleted triples and predicates having undefined goals [DT09].

(4) Obligation:

Triples:

quotA(s(X1), X2, X3) :- quotA(X1, X2, X3).
timesC(s(X1), X2, X3) :- timesC(X1, X2, X4).
timesC(s(X1), X2, X3) :- ','(timescC(X1, X2, X4), addD(X4, X2, X3)).
addD(s(X1), X2, s(X3)) :- addD(X1, X2, X3).
neqE(s(X1), s(X2)) :- neqE(X1, X2).
quotF(s(X1), X2, X3) :- quotF(X1, X2, X3).
neqI(X1, s(s(X2))) :- neqJ(X1, X2).
quotK(s(X1), X2, X3) :- quotK(X1, X2, X3).
quotO(s(X1), X2, X3) :- quotO(X1, X2, X3).
quotT(s(X1), X2, X3) :- quotT(X1, X2, X3).
quotY(s(X1), s(X2), X3, X4) :- quotY(X1, X2, X3, X4).
quotY(s(s(X1)), 0, s(X2), s(X3)) :- quotZ(X1, X2, X3).
quotY(s(X1), 0, 0, s(s(X2))) :- quotN1(X1, X2).
quotZ(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) :- quotY(X1, X2, s(s(s(s(s(s(s(X2))))))), X3).
quotZ(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) :- quotN2(X1, X2).
quotZ(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) :- quotN3(X1, X2).
quotZ(s(s(s(X1))), s(s(s(0))), s(X2)) :- quotN4(X1, X2).
quotZ(s(s(X1)), s(s(0)), s(X2)) :- quotN5(X1, X2).
quotZ(s(X1), s(0), s(X2)) :- quotN6(X1, X2).
quotZ(X1, 0, s(X2)) :- quotN7(X1, X2).
quotN1(s(X1), s(X2)) :- quotN1(X1, X2).
quotN2(s(s(s(s(s(s(s(X1))))))), s(X2)) :- quotN2(X1, X2).
quotN3(s(s(s(s(s(s(X1)))))), s(X2)) :- quotN3(X1, X2).
quotN4(s(s(s(s(s(X1))))), s(X2)) :- quotN4(X1, X2).
quotN5(s(s(s(s(X1)))), s(X2)) :- quotN5(X1, X2).
quotN6(s(s(s(X1))), s(X2)) :- quotN6(X1, X2).
quotN7(s(s(X1)), s(X2)) :- quotN7(X1, X2).
neqJ(X1, s(X2)) :- neqE(X1, X2).
pN8(X1, s(X2)) :- quotZ(X2, X1, X3).
pN8(X1, X2) :- ','(divcN20(X2, X1, X3), timesC(X3, X1, X4)).
pN8(X1, X2) :- ','(divcN20(X2, X1, X3), ','(timescC(X3, X1, X4), neqJ(X2, X4))).
pN8(s(X1), X2) :- ','(not_dividescN9(s(X1), X2), pN8(X1, X2)).
primeN21(s(s(s(s(s(s(s(s(s(X1)))))))))) :- quotA(X1, s(s(s(s(s(s(s(X1))))))), X2).
primeN21(s(s(s(X1)))) :- ','(divcN11(X1, X2), timesC(X2, X1, X3)).
primeN21(s(s(s(X1)))) :- ','(divcN11(X1, X2), ','(timescC(X2, X1, X3), neqI(X1, X3))).
primeN21(s(s(s(s(s(s(s(s(s(s(X1))))))))))) :- ','(not_dividescN10(s(s(s(s(s(s(s(X1)))))))), quotF(X1, s(s(s(s(s(s(s(X1))))))), X2)).
primeN21(s(s(s(s(X1))))) :- ','(not_dividescN10(s(X1)), ','(divcN13(X1, X2), timesC(X2, X1, X3))).
primeN21(s(s(s(s(X1))))) :- ','(not_dividescN10(s(X1)), ','(divcN13(X1, X2), ','(timescC(X2, X1, X3), neqI(s(X1), X3)))).
primeN21(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))) :- ','(not_dividescN10(s(s(s(s(s(s(s(s(X1))))))))), ','(not_dividescN12(s(s(s(s(s(s(s(X1)))))))), quotK(X1, s(s(s(s(s(s(s(X1))))))), X2))).
primeN21(s(s(s(s(s(X1)))))) :- ','(not_dividescN10(s(s(X1))), ','(not_dividescN12(s(X1)), ','(divcN15(X1, X2), timesC(X2, X1, X3)))).
primeN21(s(s(s(s(s(X1)))))) :- ','(not_dividescN10(s(s(X1))), ','(not_dividescN12(s(X1)), ','(divcN15(X1, X2), ','(timescC(X2, X1, X3), neqI(s(s(X1)), X3))))).
primeN21(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))) :- ','(not_dividescN10(s(s(s(s(s(s(s(s(s(X1)))))))))), ','(not_dividescN12(s(s(s(s(s(s(s(s(X1))))))))), ','(not_dividescN14(s(s(s(s(s(s(s(X1)))))))), quotO(X1, s(s(s(s(s(s(s(X1))))))), X2)))).
primeN21(s(s(s(s(s(s(X1))))))) :- ','(not_dividescN10(s(s(s(X1)))), ','(not_dividescN12(s(s(X1))), ','(not_dividescN14(s(X1)), ','(divcN17(X1, X2), timesC(X2, X1, X3))))).
primeN21(s(s(s(s(s(s(X1))))))) :- ','(not_dividescN10(s(s(s(X1)))), ','(not_dividescN12(s(s(X1))), ','(not_dividescN14(s(X1)), ','(divcN17(X1, X2), ','(timescC(X2, X1, X3), neqI(s(s(s(X1))), X3)))))).
primeN21(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))) :- ','(not_dividescN10(s(s(s(s(s(s(s(s(s(s(X1))))))))))), ','(not_dividescN12(s(s(s(s(s(s(s(s(s(X1)))))))))), ','(not_dividescN14(s(s(s(s(s(s(s(s(X1))))))))), ','(not_dividescN16(s(s(s(s(s(s(s(X1)))))))), quotT(X1, s(s(s(s(s(s(s(X1))))))), X2))))).
primeN21(s(s(s(s(s(s(s(X1)))))))) :- ','(not_dividescN10(s(s(s(s(X1))))), ','(not_dividescN12(s(s(s(X1)))), ','(not_dividescN14(s(s(X1))), ','(not_dividescN16(s(X1)), ','(divcN19(X1, X2), timesC(X2, X1, X3)))))).
primeN21(s(s(s(s(s(s(s(X1)))))))) :- ','(not_dividescN10(s(s(s(s(X1))))), ','(not_dividescN12(s(s(s(X1)))), ','(not_dividescN14(s(s(X1))), ','(not_dividescN16(s(X1)), ','(divcN19(X1, X2), ','(timescC(X2, X1, X3), neqI(s(s(s(s(X1)))), X3))))))).
primeN21(s(s(s(s(s(s(s(s(X1))))))))) :- ','(not_dividescN10(s(s(s(s(s(X1)))))), ','(not_dividescN12(s(s(s(s(X1))))), ','(not_dividescN14(s(s(s(X1)))), ','(not_dividescN16(s(s(X1))), ','(not_dividescN18(s(X1)), pN8(X1, s(s(s(s(s(s(s(X1))))))))))))).

Clauses:

quotcA(s(X1), X2, X3) :- quotcA(X1, X2, X3).
quotcA(0, s(X1), s(0)).
quotcA(0, 0, s(s(X1))) :- quotcB(X1).
timescC(0, X1, 0).
timescC(s(X1), X2, X3) :- ','(timescC(X1, X2, X4), addcD(X4, X2, X3)).
addcD(0, X1, s(s(X1))).
addcD(s(X1), X2, s(X3)) :- addcD(X1, X2, X3).
neqcE(s(X1), 0).
neqcE(0, s(X1)).
neqcE(s(X1), s(X2)) :- neqcE(X1, X2).
quotcF(s(X1), X2, X3) :- quotcF(X1, X2, X3).
quotcF(0, s(s(X1)), s(0)).
quotcF(0, s(0), s(s(X1))) :- quotcG(X1).
quotcF(0, 0, s(s(X1))) :- quotcH(X1).
quotcB(0).
quotcG(0).
neqcI(X1, 0).
neqcI(X1, s(0)).
neqcI(X1, s(s(X2))) :- neqcJ(X1, X2).
quotcK(s(X1), X2, X3) :- quotcK(X1, X2, X3).
quotcK(0, s(s(s(X1))), s(0)).
quotcK(0, s(s(0)), s(s(X1))) :- quotcL(X1).
quotcK(0, s(0), s(s(X1))) :- quotcM(X1).
quotcK(0, 0, s(s(X1))) :- quotcN(X1).
quotcM(0).
quotcH(s(X1)) :- quotcB(X1).
quotcL(0).
quotcO(s(X1), X2, X3) :- quotcO(X1, X2, X3).
quotcO(0, s(s(s(s(X1)))), s(0)).
quotcO(0, s(s(s(0))), s(s(X1))) :- quotcP(X1).
quotcO(0, s(s(0)), s(s(X1))) :- quotcQ(X1).
quotcO(0, s(0), s(s(X1))) :- quotcR(X1).
quotcO(0, 0, s(s(X1))) :- quotcS(X1).
quotcQ(0).
quotcR(s(X1)) :- quotcG(X1).
quotcN(s(X1)) :- quotcH(X1).
quotcP(0).
quotcT(s(X1), X2, X3) :- quotcT(X1, X2, X3).
quotcT(0, s(s(s(s(s(X1))))), s(0)).
quotcT(0, s(s(s(s(0)))), s(s(X1))) :- quotcU(X1).
quotcT(0, s(s(s(0))), s(s(X1))) :- quotcV(X1).
quotcT(0, s(s(0)), s(s(X1))) :- quotcW(X1).
quotcT(0, s(0), s(s(X1))) :- quotcX(X1).
quotcT(0, 0, s(s(s(X1)))) :- quotcS(X1).
quotcV(0).
quotcW(0).
quotcX(s(X1)) :- quotcM(X1).
quotcS(s(X1)) :- quotcN(X1).
quotcU(0).
quotcY(0, s(X1), X2, 0).
quotcY(s(X1), s(X2), X3, X4) :- quotcY(X1, X2, X3, X4).
quotcY(0, 0, X1, s(0)).
quotcY(s(0), 0, s(X1), s(0)).
quotcY(s(s(X1)), 0, s(X2), s(X3)) :- quotcZ(X1, X2, X3).
quotcY(s(X1), 0, 0, s(s(X2))) :- quotcN1(X1, X2).
quotcZ(0, s(X1), 0).
quotcZ(s(0), s(s(X1)), 0).
quotcZ(s(s(0)), s(s(s(X1))), 0).
quotcZ(s(s(s(0))), s(s(s(s(X1)))), 0).
quotcZ(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0).
quotcZ(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0).
quotcZ(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) :- quotcY(X1, X2, s(s(s(s(s(s(s(X2))))))), X3).
quotcZ(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) :- quotcN2(X1, X2).
quotcZ(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) :- quotcN3(X1, X2).
quotcZ(s(s(s(X1))), s(s(s(0))), s(X2)) :- quotcN4(X1, X2).
quotcZ(s(s(X1)), s(s(0)), s(X2)) :- quotcN5(X1, X2).
quotcZ(s(X1), s(0), s(X2)) :- quotcN6(X1, X2).
quotcZ(X1, 0, s(X2)) :- quotcN7(X1, X2).
quotcN1(0, 0).
quotcN1(s(X1), s(X2)) :- quotcN1(X1, X2).
quotcN2(0, 0).
quotcN2(s(0), 0).
quotcN2(s(s(0)), 0).
quotcN2(s(s(s(0))), 0).
quotcN2(s(s(s(s(0)))), 0).
quotcN2(s(s(s(s(s(0))))), 0).
quotcN2(s(s(s(s(s(s(0)))))), 0).
quotcN2(s(s(s(s(s(s(s(X1))))))), s(X2)) :- quotcN2(X1, X2).
quotcN3(0, 0).
quotcN3(s(0), 0).
quotcN3(s(s(0)), 0).
quotcN3(s(s(s(0))), 0).
quotcN3(s(s(s(s(0)))), 0).
quotcN3(s(s(s(s(s(0))))), 0).
quotcN3(s(s(s(s(s(s(X1)))))), s(X2)) :- quotcN3(X1, X2).
quotcN4(0, 0).
quotcN4(s(0), 0).
quotcN4(s(s(0)), 0).
quotcN4(s(s(s(0))), 0).
quotcN4(s(s(s(s(0)))), 0).
quotcN4(s(s(s(s(s(X1))))), s(X2)) :- quotcN4(X1, X2).
quotcN5(0, 0).
quotcN5(s(0), 0).
quotcN5(s(s(0)), 0).
quotcN5(s(s(s(0))), 0).
quotcN5(s(s(s(s(X1)))), s(X2)) :- quotcN5(X1, X2).
quotcN6(0, 0).
quotcN6(s(0), 0).
quotcN6(s(s(0)), 0).
quotcN6(s(s(s(X1))), s(X2)) :- quotcN6(X1, X2).
quotcN7(0, 0).
quotcN7(s(0), 0).
quotcN7(s(s(X1)), s(X2)) :- quotcN7(X1, X2).
neqcJ(X1, 0).
neqcJ(X1, s(X2)) :- neqcE(X1, X2).
qcN8(0, X1) :- not_dividescN9(0, X1).
qcN8(s(X1), X2) :- ','(not_dividescN9(s(X1), X2), qcN8(X1, X2)).
not_dividescN10(X1) :- ','(divcN11(X1, X2), ','(timescC(X2, X1, X3), neqcI(X1, X3))).
divcN11(s(s(s(s(s(s(X1)))))), X2) :- quotcA(X1, s(s(s(s(s(s(s(X1))))))), X2).
divcN11(s(s(s(s(s(0))))), s(0)).
divcN11(s(s(s(s(0)))), s(0)).
divcN11(s(s(s(0))), s(0)).
divcN11(s(s(0)), s(X1)) :- quotcV(X1).
divcN11(s(0), s(X1)) :- quotcQ(X1).
divcN11(0, s(X1)) :- quotcM(X1).
not_dividescN12(X1) :- ','(divcN13(X1, X2), ','(timescC(X2, X1, X3), neqcI(s(X1), X3))).
divcN13(s(s(s(s(s(s(X1)))))), X2) :- quotcF(X1, s(s(s(s(s(s(s(X1))))))), X2).
divcN13(s(s(s(s(s(0))))), s(0)).
divcN13(s(s(s(s(0)))), s(0)).
divcN13(s(s(s(0))), s(0)).
divcN13(s(s(0)), s(0)).
divcN13(s(0), s(X1)) :- quotcW(X1).
divcN13(0, s(X1)) :- quotcR(X1).
not_dividescN14(X1) :- ','(divcN15(X1, X2), ','(timescC(X2, X1, X3), neqcI(s(s(X1)), X3))).
divcN15(s(s(s(s(s(s(X1)))))), X2) :- quotcK(X1, s(s(s(s(s(s(s(X1))))))), X2).
divcN15(s(s(s(s(s(0))))), s(0)).
divcN15(s(s(s(s(0)))), s(0)).
divcN15(s(s(s(0))), s(0)).
divcN15(s(s(0)), s(0)).
divcN15(s(0), s(s(X1))) :- quotcL(X1).
divcN15(0, s(X1)) :- quotcX(X1).
not_dividescN16(X1) :- ','(divcN17(X1, X2), ','(timescC(X2, X1, X3), neqcI(s(s(s(X1))), X3))).
divcN17(s(s(s(s(s(s(X1)))))), X2) :- quotcO(X1, s(s(s(s(s(s(s(X1))))))), X2).
divcN17(s(s(s(s(s(0))))), s(0)).
divcN17(s(s(s(s(0)))), s(0)).
divcN17(s(s(s(0))), s(0)).
divcN17(s(s(0)), s(s(X1))) :- quotcP(X1).
divcN17(s(0), s(s(X1))) :- quotcQ(X1).
divcN17(0, s(s(X1))) :- quotcR(X1).
not_dividescN18(X1) :- ','(divcN19(X1, X2), ','(timescC(X2, X1, X3), neqcI(s(s(s(s(X1)))), X3))).
divcN19(s(s(s(s(s(s(X1)))))), X2) :- quotcT(X1, s(s(s(s(s(s(s(X1))))))), X2).
divcN19(s(s(s(s(s(0))))), s(0)).
divcN19(s(s(s(s(0)))), s(0)).
divcN19(s(s(s(0))), s(s(X1))) :- quotcU(X1).
divcN19(s(s(0)), s(s(X1))) :- quotcV(X1).
divcN19(s(0), s(s(X1))) :- quotcW(X1).
divcN19(0, s(s(X1))) :- quotcX(X1).
not_dividescN9(X1, X2) :- ','(divcN20(X2, X1, X3), ','(timescC(X3, X1, X4), neqcJ(X2, X4))).
divcN20(0, X1, 0).
divcN20(s(X1), X2, X3) :- quotcZ(X1, X2, X3).

Afs:

primeN21(x1) = primeN21(x1)

(5) TriplesToPiDPProof (SOUND transformation)

We use the technique of [DT09]. With regard to the inferred argument filtering the predicates were used in the following modes:
primeN21_in: (b)
quotA_in: (b,b,f)
divcN11_in: (b,f)
quotcA_in: (b,b,f)
timesC_in: (b,b,f)
timescC_in: (b,b,f)
addcD_in: (b,b,f)
addD_in: (b,b,f)
neqI_in: (b,b)
neqJ_in: (b,b)
neqE_in: (b,b)
not_dividescN10_in: (b)
neqcI_in: (b,b)
neqcJ_in: (b,b)
neqcE_in: (b,b)
quotF_in: (b,b,f)
divcN13_in: (b,f)
quotcF_in: (b,b,f)
quotcH_in: (f)
quotcR_in: (f)
not_dividescN12_in: (b)
quotK_in: (b,b,f)
divcN15_in: (b,f)
quotcK_in: (b,b,f)
quotcN_in: (f)
quotcX_in: (f)
not_dividescN14_in: (b)
quotO_in: (b,b,f)
divcN17_in: (b,f)
quotcO_in: (b,b,f)
quotcS_in: (f)
not_dividescN16_in: (b)
quotT_in: (b,b,f)
divcN19_in: (b,f)
quotcT_in: (b,b,f)
not_dividescN18_in: (b)
pN8_in: (b,b)
quotZ_in: (b,b,f)
quotY_in: (b,b,b,f)
quotN2_in: (b,f)
quotN3_in: (b,f)
quotN4_in: (b,f)
quotN5_in: (b,f)
quotN6_in: (b,f)
quotN7_in: (b,f)
quotN1_in: (b,f)
divcN20_in: (b,b,f)
quotcZ_in: (b,b,f)
quotcY_in: (b,b,b,f)
quotcN2_in: (b,f)
quotcN3_in: (b,f)
quotcN4_in: (b,f)
quotcN5_in: (b,f)
quotcN6_in: (b,f)
quotcN7_in: (b,f)
quotcN1_in: (b,f)
not_dividescN9_in: (b,b)
Transforming TRIPLES into the following Term Rewriting System:
Pi DP problem:
The TRS P consists of the following rules:

PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(X1)))))))))) → U37_G(X1, quotA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(X1)))))))))) → QUOTA_IN_GGA(X1, s(s(s(s(s(s(s(X1))))))), X2)
QUOTA_IN_GGA(s(X1), X2, X3) → U1_GGA(X1, X2, X3, quotA_in_gga(X1, X2, X3))
QUOTA_IN_GGA(s(X1), X2, X3) → QUOTA_IN_GGA(X1, X2, X3)
PRIMEN21_IN_G(s(s(s(X1)))) → U38_G(X1, divcN11_in_ga(X1, X2))
U38_G(X1, divcN11_out_ga(X1, X2)) → U39_G(X1, timesC_in_gga(X2, X1, X3))
U38_G(X1, divcN11_out_ga(X1, X2)) → TIMESC_IN_GGA(X2, X1, X3)
TIMESC_IN_GGA(s(X1), X2, X3) → U2_GGA(X1, X2, X3, timesC_in_gga(X1, X2, X4))
TIMESC_IN_GGA(s(X1), X2, X3) → TIMESC_IN_GGA(X1, X2, X4)
TIMESC_IN_GGA(s(X1), X2, X3) → U3_GGA(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U3_GGA(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U4_GGA(X1, X2, X3, addD_in_gga(X4, X2, X3))
U3_GGA(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → ADDD_IN_GGA(X4, X2, X3)
ADDD_IN_GGA(s(X1), X2, s(X3)) → U5_GGA(X1, X2, X3, addD_in_gga(X1, X2, X3))
ADDD_IN_GGA(s(X1), X2, s(X3)) → ADDD_IN_GGA(X1, X2, X3)
U38_G(X1, divcN11_out_ga(X1, X2)) → U40_G(X1, timescC_in_gga(X2, X1, X3))
U40_G(X1, timescC_out_gga(X2, X1, X3)) → U41_G(X1, neqI_in_gg(X1, X3))
U40_G(X1, timescC_out_gga(X2, X1, X3)) → NEQI_IN_GG(X1, X3)
NEQI_IN_GG(X1, s(s(X2))) → U8_GG(X1, X2, neqJ_in_gg(X1, X2))
NEQI_IN_GG(X1, s(s(X2))) → NEQJ_IN_GG(X1, X2)
NEQJ_IN_GG(X1, s(X2)) → U29_GG(X1, X2, neqE_in_gg(X1, X2))
NEQJ_IN_GG(X1, s(X2)) → NEQE_IN_GG(X1, X2)
NEQE_IN_GG(s(X1), s(X2)) → U6_GG(X1, X2, neqE_in_gg(X1, X2))
NEQE_IN_GG(s(X1), s(X2)) → NEQE_IN_GG(X1, X2)
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(s(X1))))))))))) → U42_G(X1, not_dividescN10_in_g(s(s(s(s(s(s(s(X1)))))))))
U42_G(X1, not_dividescN10_out_g(s(s(s(s(s(s(s(X1))))))))) → U43_G(X1, quotF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
U42_G(X1, not_dividescN10_out_g(s(s(s(s(s(s(s(X1))))))))) → QUOTF_IN_GGA(X1, s(s(s(s(s(s(s(X1))))))), X2)
QUOTF_IN_GGA(s(X1), X2, X3) → U7_GGA(X1, X2, X3, quotF_in_gga(X1, X2, X3))
QUOTF_IN_GGA(s(X1), X2, X3) → QUOTF_IN_GGA(X1, X2, X3)
PRIMEN21_IN_G(s(s(s(s(X1))))) → U44_G(X1, not_dividescN10_in_g(s(X1)))
U44_G(X1, not_dividescN10_out_g(s(X1))) → U45_G(X1, divcN13_in_ga(X1, X2))
U45_G(X1, divcN13_out_ga(X1, X2)) → U46_G(X1, timesC_in_gga(X2, X1, X3))
U45_G(X1, divcN13_out_ga(X1, X2)) → TIMESC_IN_GGA(X2, X1, X3)
U45_G(X1, divcN13_out_ga(X1, X2)) → U47_G(X1, timescC_in_gga(X2, X1, X3))
U47_G(X1, timescC_out_gga(X2, X1, X3)) → U48_G(X1, neqI_in_gg(s(X1), X3))
U47_G(X1, timescC_out_gga(X2, X1, X3)) → NEQI_IN_GG(s(X1), X3)
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))) → U49_G(X1, not_dividescN10_in_g(s(s(s(s(s(s(s(s(X1))))))))))
U49_G(X1, not_dividescN10_out_g(s(s(s(s(s(s(s(s(X1)))))))))) → U50_G(X1, not_dividescN12_in_g(s(s(s(s(s(s(s(X1)))))))))
U50_G(X1, not_dividescN12_out_g(s(s(s(s(s(s(s(X1))))))))) → U51_G(X1, quotK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
U50_G(X1, not_dividescN12_out_g(s(s(s(s(s(s(s(X1))))))))) → QUOTK_IN_GGA(X1, s(s(s(s(s(s(s(X1))))))), X2)
QUOTK_IN_GGA(s(X1), X2, X3) → U9_GGA(X1, X2, X3, quotK_in_gga(X1, X2, X3))
QUOTK_IN_GGA(s(X1), X2, X3) → QUOTK_IN_GGA(X1, X2, X3)
PRIMEN21_IN_G(s(s(s(s(s(X1)))))) → U52_G(X1, not_dividescN10_in_g(s(s(X1))))
U52_G(X1, not_dividescN10_out_g(s(s(X1)))) → U53_G(X1, not_dividescN12_in_g(s(X1)))
U53_G(X1, not_dividescN12_out_g(s(X1))) → U54_G(X1, divcN15_in_ga(X1, X2))
U54_G(X1, divcN15_out_ga(X1, X2)) → U55_G(X1, timesC_in_gga(X2, X1, X3))
U54_G(X1, divcN15_out_ga(X1, X2)) → TIMESC_IN_GGA(X2, X1, X3)
U54_G(X1, divcN15_out_ga(X1, X2)) → U56_G(X1, timescC_in_gga(X2, X1, X3))
U56_G(X1, timescC_out_gga(X2, X1, X3)) → U57_G(X1, neqI_in_gg(s(s(X1)), X3))
U56_G(X1, timescC_out_gga(X2, X1, X3)) → NEQI_IN_GG(s(s(X1)), X3)
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))) → U58_G(X1, not_dividescN10_in_g(s(s(s(s(s(s(s(s(s(X1)))))))))))
U58_G(X1, not_dividescN10_out_g(s(s(s(s(s(s(s(s(s(X1))))))))))) → U59_G(X1, not_dividescN12_in_g(s(s(s(s(s(s(s(s(X1))))))))))
U59_G(X1, not_dividescN12_out_g(s(s(s(s(s(s(s(s(X1)))))))))) → U60_G(X1, not_dividescN14_in_g(s(s(s(s(s(s(s(X1)))))))))
U60_G(X1, not_dividescN14_out_g(s(s(s(s(s(s(s(X1))))))))) → U61_G(X1, quotO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
U60_G(X1, not_dividescN14_out_g(s(s(s(s(s(s(s(X1))))))))) → QUOTO_IN_GGA(X1, s(s(s(s(s(s(s(X1))))))), X2)
QUOTO_IN_GGA(s(X1), X2, X3) → U10_GGA(X1, X2, X3, quotO_in_gga(X1, X2, X3))
QUOTO_IN_GGA(s(X1), X2, X3) → QUOTO_IN_GGA(X1, X2, X3)
PRIMEN21_IN_G(s(s(s(s(s(s(X1))))))) → U62_G(X1, not_dividescN10_in_g(s(s(s(X1)))))
U62_G(X1, not_dividescN10_out_g(s(s(s(X1))))) → U63_G(X1, not_dividescN12_in_g(s(s(X1))))
U63_G(X1, not_dividescN12_out_g(s(s(X1)))) → U64_G(X1, not_dividescN14_in_g(s(X1)))
U64_G(X1, not_dividescN14_out_g(s(X1))) → U65_G(X1, divcN17_in_ga(X1, X2))
U65_G(X1, divcN17_out_ga(X1, X2)) → U66_G(X1, timesC_in_gga(X2, X1, X3))
U65_G(X1, divcN17_out_ga(X1, X2)) → TIMESC_IN_GGA(X2, X1, X3)
U65_G(X1, divcN17_out_ga(X1, X2)) → U67_G(X1, timescC_in_gga(X2, X1, X3))
U67_G(X1, timescC_out_gga(X2, X1, X3)) → U68_G(X1, neqI_in_gg(s(s(s(X1))), X3))
U67_G(X1, timescC_out_gga(X2, X1, X3)) → NEQI_IN_GG(s(s(s(X1))), X3)
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))) → U69_G(X1, not_dividescN10_in_g(s(s(s(s(s(s(s(s(s(s(X1))))))))))))
U69_G(X1, not_dividescN10_out_g(s(s(s(s(s(s(s(s(s(s(X1)))))))))))) → U70_G(X1, not_dividescN12_in_g(s(s(s(s(s(s(s(s(s(X1)))))))))))
U70_G(X1, not_dividescN12_out_g(s(s(s(s(s(s(s(s(s(X1))))))))))) → U71_G(X1, not_dividescN14_in_g(s(s(s(s(s(s(s(s(X1))))))))))
U71_G(X1, not_dividescN14_out_g(s(s(s(s(s(s(s(s(X1)))))))))) → U72_G(X1, not_dividescN16_in_g(s(s(s(s(s(s(s(X1)))))))))
U72_G(X1, not_dividescN16_out_g(s(s(s(s(s(s(s(X1))))))))) → U73_G(X1, quotT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
U72_G(X1, not_dividescN16_out_g(s(s(s(s(s(s(s(X1))))))))) → QUOTT_IN_GGA(X1, s(s(s(s(s(s(s(X1))))))), X2)
QUOTT_IN_GGA(s(X1), X2, X3) → U11_GGA(X1, X2, X3, quotT_in_gga(X1, X2, X3))
QUOTT_IN_GGA(s(X1), X2, X3) → QUOTT_IN_GGA(X1, X2, X3)
PRIMEN21_IN_G(s(s(s(s(s(s(s(X1)))))))) → U74_G(X1, not_dividescN10_in_g(s(s(s(s(X1))))))
U74_G(X1, not_dividescN10_out_g(s(s(s(s(X1)))))) → U75_G(X1, not_dividescN12_in_g(s(s(s(X1)))))
U75_G(X1, not_dividescN12_out_g(s(s(s(X1))))) → U76_G(X1, not_dividescN14_in_g(s(s(X1))))
U76_G(X1, not_dividescN14_out_g(s(s(X1)))) → U77_G(X1, not_dividescN16_in_g(s(X1)))
U77_G(X1, not_dividescN16_out_g(s(X1))) → U78_G(X1, divcN19_in_ga(X1, X2))
U78_G(X1, divcN19_out_ga(X1, X2)) → U79_G(X1, timesC_in_gga(X2, X1, X3))
U78_G(X1, divcN19_out_ga(X1, X2)) → TIMESC_IN_GGA(X2, X1, X3)
U78_G(X1, divcN19_out_ga(X1, X2)) → U80_G(X1, timescC_in_gga(X2, X1, X3))
U80_G(X1, timescC_out_gga(X2, X1, X3)) → U81_G(X1, neqI_in_gg(s(s(s(s(X1)))), X3))
U80_G(X1, timescC_out_gga(X2, X1, X3)) → NEQI_IN_GG(s(s(s(s(X1)))), X3)
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(X1))))))))) → U82_G(X1, not_dividescN10_in_g(s(s(s(s(s(X1)))))))
U82_G(X1, not_dividescN10_out_g(s(s(s(s(s(X1))))))) → U83_G(X1, not_dividescN12_in_g(s(s(s(s(X1))))))
U83_G(X1, not_dividescN12_out_g(s(s(s(s(X1)))))) → U84_G(X1, not_dividescN14_in_g(s(s(s(X1)))))
U84_G(X1, not_dividescN14_out_g(s(s(s(X1))))) → U85_G(X1, not_dividescN16_in_g(s(s(X1))))
U85_G(X1, not_dividescN16_out_g(s(s(X1)))) → U86_G(X1, not_dividescN18_in_g(s(X1)))
U86_G(X1, not_dividescN18_out_g(s(X1))) → U87_G(X1, pN8_in_gg(X1, s(s(s(s(s(s(s(X1)))))))))
U86_G(X1, not_dividescN18_out_g(s(X1))) → PN8_IN_GG(X1, s(s(s(s(s(s(s(X1))))))))
PN8_IN_GG(X1, s(X2)) → U30_GG(X1, X2, quotZ_in_gga(X2, X1, X3))
PN8_IN_GG(X1, s(X2)) → QUOTZ_IN_GGA(X2, X1, X3)
QUOTZ_IN_GGA(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U15_GGA(X1, X2, X3, quotY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
QUOTZ_IN_GGA(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → QUOTY_IN_GGGA(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)
QUOTY_IN_GGGA(s(X1), s(X2), X3, X4) → U12_GGGA(X1, X2, X3, X4, quotY_in_ggga(X1, X2, X3, X4))
QUOTY_IN_GGGA(s(X1), s(X2), X3, X4) → QUOTY_IN_GGGA(X1, X2, X3, X4)
QUOTY_IN_GGGA(s(s(X1)), 0, s(X2), s(X3)) → U13_GGGA(X1, X2, X3, quotZ_in_gga(X1, X2, X3))
QUOTY_IN_GGGA(s(s(X1)), 0, s(X2), s(X3)) → QUOTZ_IN_GGA(X1, X2, X3)
QUOTZ_IN_GGA(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U16_GGA(X1, X2, quotN2_in_ga(X1, X2))
QUOTZ_IN_GGA(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → QUOTN2_IN_GA(X1, X2)
QUOTN2_IN_GA(s(s(s(s(s(s(s(X1))))))), s(X2)) → U23_GA(X1, X2, quotN2_in_ga(X1, X2))
QUOTN2_IN_GA(s(s(s(s(s(s(s(X1))))))), s(X2)) → QUOTN2_IN_GA(X1, X2)
QUOTZ_IN_GGA(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U17_GGA(X1, X2, quotN3_in_ga(X1, X2))
QUOTZ_IN_GGA(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → QUOTN3_IN_GA(X1, X2)
QUOTN3_IN_GA(s(s(s(s(s(s(X1)))))), s(X2)) → U24_GA(X1, X2, quotN3_in_ga(X1, X2))
QUOTN3_IN_GA(s(s(s(s(s(s(X1)))))), s(X2)) → QUOTN3_IN_GA(X1, X2)
QUOTZ_IN_GGA(s(s(s(X1))), s(s(s(0))), s(X2)) → U18_GGA(X1, X2, quotN4_in_ga(X1, X2))
QUOTZ_IN_GGA(s(s(s(X1))), s(s(s(0))), s(X2)) → QUOTN4_IN_GA(X1, X2)
QUOTN4_IN_GA(s(s(s(s(s(X1))))), s(X2)) → U25_GA(X1, X2, quotN4_in_ga(X1, X2))
QUOTN4_IN_GA(s(s(s(s(s(X1))))), s(X2)) → QUOTN4_IN_GA(X1, X2)
QUOTZ_IN_GGA(s(s(X1)), s(s(0)), s(X2)) → U19_GGA(X1, X2, quotN5_in_ga(X1, X2))
QUOTZ_IN_GGA(s(s(X1)), s(s(0)), s(X2)) → QUOTN5_IN_GA(X1, X2)
QUOTN5_IN_GA(s(s(s(s(X1)))), s(X2)) → U26_GA(X1, X2, quotN5_in_ga(X1, X2))
QUOTN5_IN_GA(s(s(s(s(X1)))), s(X2)) → QUOTN5_IN_GA(X1, X2)
QUOTZ_IN_GGA(s(X1), s(0), s(X2)) → U20_GGA(X1, X2, quotN6_in_ga(X1, X2))
QUOTZ_IN_GGA(s(X1), s(0), s(X2)) → QUOTN6_IN_GA(X1, X2)
QUOTN6_IN_GA(s(s(s(X1))), s(X2)) → U27_GA(X1, X2, quotN6_in_ga(X1, X2))
QUOTN6_IN_GA(s(s(s(X1))), s(X2)) → QUOTN6_IN_GA(X1, X2)
QUOTZ_IN_GGA(X1, 0, s(X2)) → U21_GGA(X1, X2, quotN7_in_ga(X1, X2))
QUOTZ_IN_GGA(X1, 0, s(X2)) → QUOTN7_IN_GA(X1, X2)
QUOTN7_IN_GA(s(s(X1)), s(X2)) → U28_GA(X1, X2, quotN7_in_ga(X1, X2))
QUOTN7_IN_GA(s(s(X1)), s(X2)) → QUOTN7_IN_GA(X1, X2)
QUOTY_IN_GGGA(s(X1), 0, 0, s(s(X2))) → U14_GGGA(X1, X2, quotN1_in_ga(X1, X2))
QUOTY_IN_GGGA(s(X1), 0, 0, s(s(X2))) → QUOTN1_IN_GA(X1, X2)
QUOTN1_IN_GA(s(X1), s(X2)) → U22_GA(X1, X2, quotN1_in_ga(X1, X2))
QUOTN1_IN_GA(s(X1), s(X2)) → QUOTN1_IN_GA(X1, X2)
PN8_IN_GG(X1, X2) → U31_GG(X1, X2, divcN20_in_gga(X2, X1, X3))
U31_GG(X1, X2, divcN20_out_gga(X2, X1, X3)) → U32_GG(X1, X2, timesC_in_gga(X3, X1, X4))
U31_GG(X1, X2, divcN20_out_gga(X2, X1, X3)) → TIMESC_IN_GGA(X3, X1, X4)
U31_GG(X1, X2, divcN20_out_gga(X2, X1, X3)) → U33_GG(X1, X2, timescC_in_gga(X3, X1, X4))
U33_GG(X1, X2, timescC_out_gga(X3, X1, X4)) → U34_GG(X1, X2, neqJ_in_gg(X2, X4))
U33_GG(X1, X2, timescC_out_gga(X3, X1, X4)) → NEQJ_IN_GG(X2, X4)
PN8_IN_GG(s(X1), X2) → U35_GG(X1, X2, not_dividescN9_in_gg(s(X1), X2))
U35_GG(X1, X2, not_dividescN9_out_gg(s(X1), X2)) → U36_GG(X1, X2, pN8_in_gg(X1, X2))
U35_GG(X1, X2, not_dividescN9_out_gg(s(X1), X2)) → PN8_IN_GG(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
quotA_in_gga(x1, x2, x3) = quotA_in_gga(x1, x2)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timesC_in_gga(x1, x2, x3) = timesC_in_gga(x1, x2)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
addD_in_gga(x1, x2, x3) = addD_in_gga(x1, x2)
neqI_in_gg(x1, x2) = neqI_in_gg(x1, x2)
neqJ_in_gg(x1, x2) = neqJ_in_gg(x1, x2)
neqE_in_gg(x1, x2) = neqE_in_gg(x1, x2)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
quotF_in_gga(x1, x2, x3) = quotF_in_gga(x1, x2)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
quotK_in_gga(x1, x2, x3) = quotK_in_gga(x1, x2)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
quotO_in_gga(x1, x2, x3) = quotO_in_gga(x1, x2)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
quotT_in_gga(x1, x2, x3) = quotT_in_gga(x1, x2)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
pN8_in_gg(x1, x2) = pN8_in_gg(x1, x2)
quotZ_in_gga(x1, x2, x3) = quotZ_in_gga(x1, x2)
quotY_in_ggga(x1, x2, x3, x4) = quotY_in_ggga(x1, x2, x3)
quotN2_in_ga(x1, x2) = quotN2_in_ga(x1)
quotN3_in_ga(x1, x2) = quotN3_in_ga(x1)
quotN4_in_ga(x1, x2) = quotN4_in_ga(x1)
quotN5_in_ga(x1, x2) = quotN5_in_ga(x1)
quotN6_in_ga(x1, x2) = quotN6_in_ga(x1)
quotN7_in_ga(x1, x2) = quotN7_in_ga(x1)
quotN1_in_ga(x1, x2) = quotN1_in_ga(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
PRIMEN21_IN_G(x1) = PRIMEN21_IN_G(x1)
U37_G(x1, x2) = U37_G(x1, x2)
QUOTA_IN_GGA(x1, x2, x3) = QUOTA_IN_GGA(x1, x2)
U1_GGA(x1, x2, x3, x4) = U1_GGA(x1, x2, x4)
U38_G(x1, x2) = U38_G(x1, x2)
U39_G(x1, x2) = U39_G(x1, x2)
TIMESC_IN_GGA(x1, x2, x3) = TIMESC_IN_GGA(x1, x2)
U2_GGA(x1, x2, x3, x4) = U2_GGA(x1, x2, x4)
U3_GGA(x1, x2, x3, x4) = U3_GGA(x1, x2, x4)
U4_GGA(x1, x2, x3, x4) = U4_GGA(x1, x2, x4)
ADDD_IN_GGA(x1, x2, x3) = ADDD_IN_GGA(x1, x2)
U5_GGA(x1, x2, x3, x4) = U5_GGA(x1, x2, x4)
U40_G(x1, x2) = U40_G(x1, x2)
U41_G(x1, x2) = U41_G(x1, x2)
NEQI_IN_GG(x1, x2) = NEQI_IN_GG(x1, x2)
U8_GG(x1, x2, x3) = U8_GG(x1, x2, x3)
NEQJ_IN_GG(x1, x2) = NEQJ_IN_GG(x1, x2)
U29_GG(x1, x2, x3) = U29_GG(x1, x2, x3)
NEQE_IN_GG(x1, x2) = NEQE_IN_GG(x1, x2)
U6_GG(x1, x2, x3) = U6_GG(x1, x2, x3)
U42_G(x1, x2) = U42_G(x1, x2)
U43_G(x1, x2) = U43_G(x1, x2)
QUOTF_IN_GGA(x1, x2, x3) = QUOTF_IN_GGA(x1, x2)
U7_GGA(x1, x2, x3, x4) = U7_GGA(x1, x2, x4)
U44_G(x1, x2) = U44_G(x1, x2)
U45_G(x1, x2) = U45_G(x1, x2)
U46_G(x1, x2) = U46_G(x1, x2)
U47_G(x1, x2) = U47_G(x1, x2)
U48_G(x1, x2) = U48_G(x1, x2)
U49_G(x1, x2) = U49_G(x1, x2)
U50_G(x1, x2) = U50_G(x1, x2)
U51_G(x1, x2) = U51_G(x1, x2)
QUOTK_IN_GGA(x1, x2, x3) = QUOTK_IN_GGA(x1, x2)
U9_GGA(x1, x2, x3, x4) = U9_GGA(x1, x2, x4)
U52_G(x1, x2) = U52_G(x1, x2)
U53_G(x1, x2) = U53_G(x1, x2)
U54_G(x1, x2) = U54_G(x1, x2)
U55_G(x1, x2) = U55_G(x1, x2)
U56_G(x1, x2) = U56_G(x1, x2)
U57_G(x1, x2) = U57_G(x1, x2)
U58_G(x1, x2) = U58_G(x1, x2)
U59_G(x1, x2) = U59_G(x1, x2)
U60_G(x1, x2) = U60_G(x1, x2)
U61_G(x1, x2) = U61_G(x1, x2)
QUOTO_IN_GGA(x1, x2, x3) = QUOTO_IN_GGA(x1, x2)
U10_GGA(x1, x2, x3, x4) = U10_GGA(x1, x2, x4)
U62_G(x1, x2) = U62_G(x1, x2)
U63_G(x1, x2) = U63_G(x1, x2)
U64_G(x1, x2) = U64_G(x1, x2)
U65_G(x1, x2) = U65_G(x1, x2)
U66_G(x1, x2) = U66_G(x1, x2)
U67_G(x1, x2) = U67_G(x1, x2)
U68_G(x1, x2) = U68_G(x1, x2)
U69_G(x1, x2) = U69_G(x1, x2)
U70_G(x1, x2) = U70_G(x1, x2)
U71_G(x1, x2) = U71_G(x1, x2)
U72_G(x1, x2) = U72_G(x1, x2)
U73_G(x1, x2) = U73_G(x1, x2)
QUOTT_IN_GGA(x1, x2, x3) = QUOTT_IN_GGA(x1, x2)
U11_GGA(x1, x2, x3, x4) = U11_GGA(x1, x2, x4)
U74_G(x1, x2) = U74_G(x1, x2)
U75_G(x1, x2) = U75_G(x1, x2)
U76_G(x1, x2) = U76_G(x1, x2)
U77_G(x1, x2) = U77_G(x1, x2)
U78_G(x1, x2) = U78_G(x1, x2)
U79_G(x1, x2) = U79_G(x1, x2)
U80_G(x1, x2) = U80_G(x1, x2)
U81_G(x1, x2) = U81_G(x1, x2)
U82_G(x1, x2) = U82_G(x1, x2)
U83_G(x1, x2) = U83_G(x1, x2)
U84_G(x1, x2) = U84_G(x1, x2)
U85_G(x1, x2) = U85_G(x1, x2)
U86_G(x1, x2) = U86_G(x1, x2)
U87_G(x1, x2) = U87_G(x1, x2)
PN8_IN_GG(x1, x2) = PN8_IN_GG(x1, x2)
U30_GG(x1, x2, x3) = U30_GG(x1, x2, x3)
QUOTZ_IN_GGA(x1, x2, x3) = QUOTZ_IN_GGA(x1, x2)
U15_GGA(x1, x2, x3, x4) = U15_GGA(x1, x2, x4)
QUOTY_IN_GGGA(x1, x2, x3, x4) = QUOTY_IN_GGGA(x1, x2, x3)
U12_GGGA(x1, x2, x3, x4, x5) = U12_GGGA(x1, x2, x3, x5)
U13_GGGA(x1, x2, x3, x4) = U13_GGGA(x1, x2, x4)
U16_GGA(x1, x2, x3) = U16_GGA(x1, x3)
QUOTN2_IN_GA(x1, x2) = QUOTN2_IN_GA(x1)
U23_GA(x1, x2, x3) = U23_GA(x1, x3)
U17_GGA(x1, x2, x3) = U17_GGA(x1, x3)
QUOTN3_IN_GA(x1, x2) = QUOTN3_IN_GA(x1)
U24_GA(x1, x2, x3) = U24_GA(x1, x3)
U18_GGA(x1, x2, x3) = U18_GGA(x1, x3)
QUOTN4_IN_GA(x1, x2) = QUOTN4_IN_GA(x1)
U25_GA(x1, x2, x3) = U25_GA(x1, x3)
U19_GGA(x1, x2, x3) = U19_GGA(x1, x3)
QUOTN5_IN_GA(x1, x2) = QUOTN5_IN_GA(x1)
U26_GA(x1, x2, x3) = U26_GA(x1, x3)
U20_GGA(x1, x2, x3) = U20_GGA(x1, x3)
QUOTN6_IN_GA(x1, x2) = QUOTN6_IN_GA(x1)
U27_GA(x1, x2, x3) = U27_GA(x1, x3)
U21_GGA(x1, x2, x3) = U21_GGA(x1, x3)
QUOTN7_IN_GA(x1, x2) = QUOTN7_IN_GA(x1)
U28_GA(x1, x2, x3) = U28_GA(x1, x3)
U14_GGGA(x1, x2, x3) = U14_GGGA(x1, x3)
QUOTN1_IN_GA(x1, x2) = QUOTN1_IN_GA(x1)
U22_GA(x1, x2, x3) = U22_GA(x1, x3)
U31_GG(x1, x2, x3) = U31_GG(x1, x2, x3)
U32_GG(x1, x2, x3) = U32_GG(x1, x2, x3)
U33_GG(x1, x2, x3) = U33_GG(x1, x2, x3)
U34_GG(x1, x2, x3) = U34_GG(x1, x2, x3)
U35_GG(x1, x2, x3) = U35_GG(x1, x2, x3)
U36_GG(x1, x2, x3) = U36_GG(x1, x2, x3)

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

Infinitary Constructor Rewriting Termination of PiDP implies Termination of TRIPLES

(6) Obligation:

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

PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(X1)))))))))) → U37_G(X1, quotA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(X1)))))))))) → QUOTA_IN_GGA(X1, s(s(s(s(s(s(s(X1))))))), X2)
QUOTA_IN_GGA(s(X1), X2, X3) → U1_GGA(X1, X2, X3, quotA_in_gga(X1, X2, X3))
QUOTA_IN_GGA(s(X1), X2, X3) → QUOTA_IN_GGA(X1, X2, X3)
PRIMEN21_IN_G(s(s(s(X1)))) → U38_G(X1, divcN11_in_ga(X1, X2))
U38_G(X1, divcN11_out_ga(X1, X2)) → U39_G(X1, timesC_in_gga(X2, X1, X3))
U38_G(X1, divcN11_out_ga(X1, X2)) → TIMESC_IN_GGA(X2, X1, X3)
TIMESC_IN_GGA(s(X1), X2, X3) → U2_GGA(X1, X2, X3, timesC_in_gga(X1, X2, X4))
TIMESC_IN_GGA(s(X1), X2, X3) → TIMESC_IN_GGA(X1, X2, X4)
TIMESC_IN_GGA(s(X1), X2, X3) → U3_GGA(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U3_GGA(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U4_GGA(X1, X2, X3, addD_in_gga(X4, X2, X3))
U3_GGA(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → ADDD_IN_GGA(X4, X2, X3)
ADDD_IN_GGA(s(X1), X2, s(X3)) → U5_GGA(X1, X2, X3, addD_in_gga(X1, X2, X3))
ADDD_IN_GGA(s(X1), X2, s(X3)) → ADDD_IN_GGA(X1, X2, X3)
U38_G(X1, divcN11_out_ga(X1, X2)) → U40_G(X1, timescC_in_gga(X2, X1, X3))
U40_G(X1, timescC_out_gga(X2, X1, X3)) → U41_G(X1, neqI_in_gg(X1, X3))
U40_G(X1, timescC_out_gga(X2, X1, X3)) → NEQI_IN_GG(X1, X3)
NEQI_IN_GG(X1, s(s(X2))) → U8_GG(X1, X2, neqJ_in_gg(X1, X2))
NEQI_IN_GG(X1, s(s(X2))) → NEQJ_IN_GG(X1, X2)
NEQJ_IN_GG(X1, s(X2)) → U29_GG(X1, X2, neqE_in_gg(X1, X2))
NEQJ_IN_GG(X1, s(X2)) → NEQE_IN_GG(X1, X2)
NEQE_IN_GG(s(X1), s(X2)) → U6_GG(X1, X2, neqE_in_gg(X1, X2))
NEQE_IN_GG(s(X1), s(X2)) → NEQE_IN_GG(X1, X2)
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(s(X1))))))))))) → U42_G(X1, not_dividescN10_in_g(s(s(s(s(s(s(s(X1)))))))))
U42_G(X1, not_dividescN10_out_g(s(s(s(s(s(s(s(X1))))))))) → U43_G(X1, quotF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
U42_G(X1, not_dividescN10_out_g(s(s(s(s(s(s(s(X1))))))))) → QUOTF_IN_GGA(X1, s(s(s(s(s(s(s(X1))))))), X2)
QUOTF_IN_GGA(s(X1), X2, X3) → U7_GGA(X1, X2, X3, quotF_in_gga(X1, X2, X3))
QUOTF_IN_GGA(s(X1), X2, X3) → QUOTF_IN_GGA(X1, X2, X3)
PRIMEN21_IN_G(s(s(s(s(X1))))) → U44_G(X1, not_dividescN10_in_g(s(X1)))
U44_G(X1, not_dividescN10_out_g(s(X1))) → U45_G(X1, divcN13_in_ga(X1, X2))
U45_G(X1, divcN13_out_ga(X1, X2)) → U46_G(X1, timesC_in_gga(X2, X1, X3))
U45_G(X1, divcN13_out_ga(X1, X2)) → TIMESC_IN_GGA(X2, X1, X3)
U45_G(X1, divcN13_out_ga(X1, X2)) → U47_G(X1, timescC_in_gga(X2, X1, X3))
U47_G(X1, timescC_out_gga(X2, X1, X3)) → U48_G(X1, neqI_in_gg(s(X1), X3))
U47_G(X1, timescC_out_gga(X2, X1, X3)) → NEQI_IN_GG(s(X1), X3)
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))) → U49_G(X1, not_dividescN10_in_g(s(s(s(s(s(s(s(s(X1))))))))))
U49_G(X1, not_dividescN10_out_g(s(s(s(s(s(s(s(s(X1)))))))))) → U50_G(X1, not_dividescN12_in_g(s(s(s(s(s(s(s(X1)))))))))
U50_G(X1, not_dividescN12_out_g(s(s(s(s(s(s(s(X1))))))))) → U51_G(X1, quotK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
U50_G(X1, not_dividescN12_out_g(s(s(s(s(s(s(s(X1))))))))) → QUOTK_IN_GGA(X1, s(s(s(s(s(s(s(X1))))))), X2)
QUOTK_IN_GGA(s(X1), X2, X3) → U9_GGA(X1, X2, X3, quotK_in_gga(X1, X2, X3))
QUOTK_IN_GGA(s(X1), X2, X3) → QUOTK_IN_GGA(X1, X2, X3)
PRIMEN21_IN_G(s(s(s(s(s(X1)))))) → U52_G(X1, not_dividescN10_in_g(s(s(X1))))
U52_G(X1, not_dividescN10_out_g(s(s(X1)))) → U53_G(X1, not_dividescN12_in_g(s(X1)))
U53_G(X1, not_dividescN12_out_g(s(X1))) → U54_G(X1, divcN15_in_ga(X1, X2))
U54_G(X1, divcN15_out_ga(X1, X2)) → U55_G(X1, timesC_in_gga(X2, X1, X3))
U54_G(X1, divcN15_out_ga(X1, X2)) → TIMESC_IN_GGA(X2, X1, X3)
U54_G(X1, divcN15_out_ga(X1, X2)) → U56_G(X1, timescC_in_gga(X2, X1, X3))
U56_G(X1, timescC_out_gga(X2, X1, X3)) → U57_G(X1, neqI_in_gg(s(s(X1)), X3))
U56_G(X1, timescC_out_gga(X2, X1, X3)) → NEQI_IN_GG(s(s(X1)), X3)
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(s(s(s(X1))))))))))))) → U58_G(X1, not_dividescN10_in_g(s(s(s(s(s(s(s(s(s(X1)))))))))))
U58_G(X1, not_dividescN10_out_g(s(s(s(s(s(s(s(s(s(X1))))))))))) → U59_G(X1, not_dividescN12_in_g(s(s(s(s(s(s(s(s(X1))))))))))
U59_G(X1, not_dividescN12_out_g(s(s(s(s(s(s(s(s(X1)))))))))) → U60_G(X1, not_dividescN14_in_g(s(s(s(s(s(s(s(X1)))))))))
U60_G(X1, not_dividescN14_out_g(s(s(s(s(s(s(s(X1))))))))) → U61_G(X1, quotO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
U60_G(X1, not_dividescN14_out_g(s(s(s(s(s(s(s(X1))))))))) → QUOTO_IN_GGA(X1, s(s(s(s(s(s(s(X1))))))), X2)
QUOTO_IN_GGA(s(X1), X2, X3) → U10_GGA(X1, X2, X3, quotO_in_gga(X1, X2, X3))
QUOTO_IN_GGA(s(X1), X2, X3) → QUOTO_IN_GGA(X1, X2, X3)
PRIMEN21_IN_G(s(s(s(s(s(s(X1))))))) → U62_G(X1, not_dividescN10_in_g(s(s(s(X1)))))
U62_G(X1, not_dividescN10_out_g(s(s(s(X1))))) → U63_G(X1, not_dividescN12_in_g(s(s(X1))))
U63_G(X1, not_dividescN12_out_g(s(s(X1)))) → U64_G(X1, not_dividescN14_in_g(s(X1)))
U64_G(X1, not_dividescN14_out_g(s(X1))) → U65_G(X1, divcN17_in_ga(X1, X2))
U65_G(X1, divcN17_out_ga(X1, X2)) → U66_G(X1, timesC_in_gga(X2, X1, X3))
U65_G(X1, divcN17_out_ga(X1, X2)) → TIMESC_IN_GGA(X2, X1, X3)
U65_G(X1, divcN17_out_ga(X1, X2)) → U67_G(X1, timescC_in_gga(X2, X1, X3))
U67_G(X1, timescC_out_gga(X2, X1, X3)) → U68_G(X1, neqI_in_gg(s(s(s(X1))), X3))
U67_G(X1, timescC_out_gga(X2, X1, X3)) → NEQI_IN_GG(s(s(s(X1))), X3)
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(s(s(s(s(s(X1)))))))))))))) → U69_G(X1, not_dividescN10_in_g(s(s(s(s(s(s(s(s(s(s(X1))))))))))))
U69_G(X1, not_dividescN10_out_g(s(s(s(s(s(s(s(s(s(s(X1)))))))))))) → U70_G(X1, not_dividescN12_in_g(s(s(s(s(s(s(s(s(s(X1)))))))))))
U70_G(X1, not_dividescN12_out_g(s(s(s(s(s(s(s(s(s(X1))))))))))) → U71_G(X1, not_dividescN14_in_g(s(s(s(s(s(s(s(s(X1))))))))))
U71_G(X1, not_dividescN14_out_g(s(s(s(s(s(s(s(s(X1)))))))))) → U72_G(X1, not_dividescN16_in_g(s(s(s(s(s(s(s(X1)))))))))
U72_G(X1, not_dividescN16_out_g(s(s(s(s(s(s(s(X1))))))))) → U73_G(X1, quotT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
U72_G(X1, not_dividescN16_out_g(s(s(s(s(s(s(s(X1))))))))) → QUOTT_IN_GGA(X1, s(s(s(s(s(s(s(X1))))))), X2)
QUOTT_IN_GGA(s(X1), X2, X3) → U11_GGA(X1, X2, X3, quotT_in_gga(X1, X2, X3))
QUOTT_IN_GGA(s(X1), X2, X3) → QUOTT_IN_GGA(X1, X2, X3)
PRIMEN21_IN_G(s(s(s(s(s(s(s(X1)))))))) → U74_G(X1, not_dividescN10_in_g(s(s(s(s(X1))))))
U74_G(X1, not_dividescN10_out_g(s(s(s(s(X1)))))) → U75_G(X1, not_dividescN12_in_g(s(s(s(X1)))))
U75_G(X1, not_dividescN12_out_g(s(s(s(X1))))) → U76_G(X1, not_dividescN14_in_g(s(s(X1))))
U76_G(X1, not_dividescN14_out_g(s(s(X1)))) → U77_G(X1, not_dividescN16_in_g(s(X1)))
U77_G(X1, not_dividescN16_out_g(s(X1))) → U78_G(X1, divcN19_in_ga(X1, X2))
U78_G(X1, divcN19_out_ga(X1, X2)) → U79_G(X1, timesC_in_gga(X2, X1, X3))
U78_G(X1, divcN19_out_ga(X1, X2)) → TIMESC_IN_GGA(X2, X1, X3)
U78_G(X1, divcN19_out_ga(X1, X2)) → U80_G(X1, timescC_in_gga(X2, X1, X3))
U80_G(X1, timescC_out_gga(X2, X1, X3)) → U81_G(X1, neqI_in_gg(s(s(s(s(X1)))), X3))
U80_G(X1, timescC_out_gga(X2, X1, X3)) → NEQI_IN_GG(s(s(s(s(X1)))), X3)
PRIMEN21_IN_G(s(s(s(s(s(s(s(s(X1))))))))) → U82_G(X1, not_dividescN10_in_g(s(s(s(s(s(X1)))))))
U82_G(X1, not_dividescN10_out_g(s(s(s(s(s(X1))))))) → U83_G(X1, not_dividescN12_in_g(s(s(s(s(X1))))))
U83_G(X1, not_dividescN12_out_g(s(s(s(s(X1)))))) → U84_G(X1, not_dividescN14_in_g(s(s(s(X1)))))
U84_G(X1, not_dividescN14_out_g(s(s(s(X1))))) → U85_G(X1, not_dividescN16_in_g(s(s(X1))))
U85_G(X1, not_dividescN16_out_g(s(s(X1)))) → U86_G(X1, not_dividescN18_in_g(s(X1)))
U86_G(X1, not_dividescN18_out_g(s(X1))) → U87_G(X1, pN8_in_gg(X1, s(s(s(s(s(s(s(X1)))))))))
U86_G(X1, not_dividescN18_out_g(s(X1))) → PN8_IN_GG(X1, s(s(s(s(s(s(s(X1))))))))
PN8_IN_GG(X1, s(X2)) → U30_GG(X1, X2, quotZ_in_gga(X2, X1, X3))
PN8_IN_GG(X1, s(X2)) → QUOTZ_IN_GGA(X2, X1, X3)
QUOTZ_IN_GGA(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U15_GGA(X1, X2, X3, quotY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
QUOTZ_IN_GGA(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → QUOTY_IN_GGGA(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)
QUOTY_IN_GGGA(s(X1), s(X2), X3, X4) → U12_GGGA(X1, X2, X3, X4, quotY_in_ggga(X1, X2, X3, X4))
QUOTY_IN_GGGA(s(X1), s(X2), X3, X4) → QUOTY_IN_GGGA(X1, X2, X3, X4)
QUOTY_IN_GGGA(s(s(X1)), 0, s(X2), s(X3)) → U13_GGGA(X1, X2, X3, quotZ_in_gga(X1, X2, X3))
QUOTY_IN_GGGA(s(s(X1)), 0, s(X2), s(X3)) → QUOTZ_IN_GGA(X1, X2, X3)
QUOTZ_IN_GGA(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U16_GGA(X1, X2, quotN2_in_ga(X1, X2))
QUOTZ_IN_GGA(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → QUOTN2_IN_GA(X1, X2)
QUOTN2_IN_GA(s(s(s(s(s(s(s(X1))))))), s(X2)) → U23_GA(X1, X2, quotN2_in_ga(X1, X2))
QUOTN2_IN_GA(s(s(s(s(s(s(s(X1))))))), s(X2)) → QUOTN2_IN_GA(X1, X2)
QUOTZ_IN_GGA(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U17_GGA(X1, X2, quotN3_in_ga(X1, X2))
QUOTZ_IN_GGA(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → QUOTN3_IN_GA(X1, X2)
QUOTN3_IN_GA(s(s(s(s(s(s(X1)))))), s(X2)) → U24_GA(X1, X2, quotN3_in_ga(X1, X2))
QUOTN3_IN_GA(s(s(s(s(s(s(X1)))))), s(X2)) → QUOTN3_IN_GA(X1, X2)
QUOTZ_IN_GGA(s(s(s(X1))), s(s(s(0))), s(X2)) → U18_GGA(X1, X2, quotN4_in_ga(X1, X2))
QUOTZ_IN_GGA(s(s(s(X1))), s(s(s(0))), s(X2)) → QUOTN4_IN_GA(X1, X2)
QUOTN4_IN_GA(s(s(s(s(s(X1))))), s(X2)) → U25_GA(X1, X2, quotN4_in_ga(X1, X2))
QUOTN4_IN_GA(s(s(s(s(s(X1))))), s(X2)) → QUOTN4_IN_GA(X1, X2)
QUOTZ_IN_GGA(s(s(X1)), s(s(0)), s(X2)) → U19_GGA(X1, X2, quotN5_in_ga(X1, X2))
QUOTZ_IN_GGA(s(s(X1)), s(s(0)), s(X2)) → QUOTN5_IN_GA(X1, X2)
QUOTN5_IN_GA(s(s(s(s(X1)))), s(X2)) → U26_GA(X1, X2, quotN5_in_ga(X1, X2))
QUOTN5_IN_GA(s(s(s(s(X1)))), s(X2)) → QUOTN5_IN_GA(X1, X2)
QUOTZ_IN_GGA(s(X1), s(0), s(X2)) → U20_GGA(X1, X2, quotN6_in_ga(X1, X2))
QUOTZ_IN_GGA(s(X1), s(0), s(X2)) → QUOTN6_IN_GA(X1, X2)
QUOTN6_IN_GA(s(s(s(X1))), s(X2)) → U27_GA(X1, X2, quotN6_in_ga(X1, X2))
QUOTN6_IN_GA(s(s(s(X1))), s(X2)) → QUOTN6_IN_GA(X1, X2)
QUOTZ_IN_GGA(X1, 0, s(X2)) → U21_GGA(X1, X2, quotN7_in_ga(X1, X2))
QUOTZ_IN_GGA(X1, 0, s(X2)) → QUOTN7_IN_GA(X1, X2)
QUOTN7_IN_GA(s(s(X1)), s(X2)) → U28_GA(X1, X2, quotN7_in_ga(X1, X2))
QUOTN7_IN_GA(s(s(X1)), s(X2)) → QUOTN7_IN_GA(X1, X2)
QUOTY_IN_GGGA(s(X1), 0, 0, s(s(X2))) → U14_GGGA(X1, X2, quotN1_in_ga(X1, X2))
QUOTY_IN_GGGA(s(X1), 0, 0, s(s(X2))) → QUOTN1_IN_GA(X1, X2)
QUOTN1_IN_GA(s(X1), s(X2)) → U22_GA(X1, X2, quotN1_in_ga(X1, X2))
QUOTN1_IN_GA(s(X1), s(X2)) → QUOTN1_IN_GA(X1, X2)
PN8_IN_GG(X1, X2) → U31_GG(X1, X2, divcN20_in_gga(X2, X1, X3))
U31_GG(X1, X2, divcN20_out_gga(X2, X1, X3)) → U32_GG(X1, X2, timesC_in_gga(X3, X1, X4))
U31_GG(X1, X2, divcN20_out_gga(X2, X1, X3)) → TIMESC_IN_GGA(X3, X1, X4)
U31_GG(X1, X2, divcN20_out_gga(X2, X1, X3)) → U33_GG(X1, X2, timescC_in_gga(X3, X1, X4))
U33_GG(X1, X2, timescC_out_gga(X3, X1, X4)) → U34_GG(X1, X2, neqJ_in_gg(X2, X4))
U33_GG(X1, X2, timescC_out_gga(X3, X1, X4)) → NEQJ_IN_GG(X2, X4)
PN8_IN_GG(s(X1), X2) → U35_GG(X1, X2, not_dividescN9_in_gg(s(X1), X2))
U35_GG(X1, X2, not_dividescN9_out_gg(s(X1), X2)) → U36_GG(X1, X2, pN8_in_gg(X1, X2))
U35_GG(X1, X2, not_dividescN9_out_gg(s(X1), X2)) → PN8_IN_GG(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

(7) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 17 SCCs with 115 less nodes.

(8) Complex Obligation (AND)

(9) Obligation:

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

QUOTN1_IN_GA(s(X1), s(X2)) → QUOTN1_IN_GA(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTN1_IN_GA(x1, x2) = QUOTN1_IN_GA(x1)

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

(10) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(11) Obligation:

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

QUOTN1_IN_GA(s(X1), s(X2)) → QUOTN1_IN_GA(X1, X2)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTN1_IN_GA(x1, x2) = QUOTN1_IN_GA(x1)

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

(12) PiDPToQDPProof (SOUND transformation)

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

(13) Obligation:

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

QUOTN1_IN_GA(s(X1)) → QUOTN1_IN_GA(X1)

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

(14) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTN1_IN_GA(s(X1)) → QUOTN1_IN_GA(X1)
The graph contains the following edges 1 > 1

(15) YES

(16) Obligation:

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

QUOTN7_IN_GA(s(s(X1)), s(X2)) → QUOTN7_IN_GA(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTN7_IN_GA(x1, x2) = QUOTN7_IN_GA(x1)

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

(17) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(18) Obligation:

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

QUOTN7_IN_GA(s(s(X1)), s(X2)) → QUOTN7_IN_GA(X1, X2)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTN7_IN_GA(x1, x2) = QUOTN7_IN_GA(x1)

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

(19) PiDPToQDPProof (SOUND transformation)

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

(20) Obligation:

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

QUOTN7_IN_GA(s(s(X1))) → QUOTN7_IN_GA(X1)

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

(21) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTN7_IN_GA(s(s(X1))) → QUOTN7_IN_GA(X1)
The graph contains the following edges 1 > 1

(22) YES

(23) Obligation:

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

QUOTN6_IN_GA(s(s(s(X1))), s(X2)) → QUOTN6_IN_GA(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTN6_IN_GA(x1, x2) = QUOTN6_IN_GA(x1)

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

(24) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(25) Obligation:

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

QUOTN6_IN_GA(s(s(s(X1))), s(X2)) → QUOTN6_IN_GA(X1, X2)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTN6_IN_GA(x1, x2) = QUOTN6_IN_GA(x1)

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

(26) PiDPToQDPProof (SOUND transformation)

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

(27) Obligation:

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

QUOTN6_IN_GA(s(s(s(X1)))) → QUOTN6_IN_GA(X1)

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

(28) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTN6_IN_GA(s(s(s(X1)))) → QUOTN6_IN_GA(X1)
The graph contains the following edges 1 > 1

(29) YES

(30) Obligation:

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

QUOTN5_IN_GA(s(s(s(s(X1)))), s(X2)) → QUOTN5_IN_GA(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTN5_IN_GA(x1, x2) = QUOTN5_IN_GA(x1)

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

(31) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(32) Obligation:

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

QUOTN5_IN_GA(s(s(s(s(X1)))), s(X2)) → QUOTN5_IN_GA(X1, X2)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTN5_IN_GA(x1, x2) = QUOTN5_IN_GA(x1)

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

(33) PiDPToQDPProof (SOUND transformation)

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

(34) Obligation:

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

QUOTN5_IN_GA(s(s(s(s(X1))))) → QUOTN5_IN_GA(X1)

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

(35) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTN5_IN_GA(s(s(s(s(X1))))) → QUOTN5_IN_GA(X1)
The graph contains the following edges 1 > 1

(36) YES

(37) Obligation:

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

QUOTN4_IN_GA(s(s(s(s(s(X1))))), s(X2)) → QUOTN4_IN_GA(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTN4_IN_GA(x1, x2) = QUOTN4_IN_GA(x1)

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

(38) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(39) Obligation:

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

QUOTN4_IN_GA(s(s(s(s(s(X1))))), s(X2)) → QUOTN4_IN_GA(X1, X2)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTN4_IN_GA(x1, x2) = QUOTN4_IN_GA(x1)

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

(40) PiDPToQDPProof (SOUND transformation)

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

(41) Obligation:

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

QUOTN4_IN_GA(s(s(s(s(s(X1)))))) → QUOTN4_IN_GA(X1)

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

(42) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTN4_IN_GA(s(s(s(s(s(X1)))))) → QUOTN4_IN_GA(X1)
The graph contains the following edges 1 > 1

(43) YES

(44) Obligation:

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

QUOTN3_IN_GA(s(s(s(s(s(s(X1)))))), s(X2)) → QUOTN3_IN_GA(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTN3_IN_GA(x1, x2) = QUOTN3_IN_GA(x1)

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

(45) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(46) Obligation:

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

QUOTN3_IN_GA(s(s(s(s(s(s(X1)))))), s(X2)) → QUOTN3_IN_GA(X1, X2)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTN3_IN_GA(x1, x2) = QUOTN3_IN_GA(x1)

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

(47) PiDPToQDPProof (SOUND transformation)

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

(48) Obligation:

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

QUOTN3_IN_GA(s(s(s(s(s(s(X1))))))) → QUOTN3_IN_GA(X1)

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

(49) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTN3_IN_GA(s(s(s(s(s(s(X1))))))) → QUOTN3_IN_GA(X1)
The graph contains the following edges 1 > 1

(50) YES

(51) Obligation:

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

QUOTN2_IN_GA(s(s(s(s(s(s(s(X1))))))), s(X2)) → QUOTN2_IN_GA(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTN2_IN_GA(x1, x2) = QUOTN2_IN_GA(x1)

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

(52) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(53) Obligation:

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

QUOTN2_IN_GA(s(s(s(s(s(s(s(X1))))))), s(X2)) → QUOTN2_IN_GA(X1, X2)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTN2_IN_GA(x1, x2) = QUOTN2_IN_GA(x1)

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

(54) PiDPToQDPProof (SOUND transformation)

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

(55) Obligation:

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

QUOTN2_IN_GA(s(s(s(s(s(s(s(X1)))))))) → QUOTN2_IN_GA(X1)

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

(56) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTN2_IN_GA(s(s(s(s(s(s(s(X1)))))))) → QUOTN2_IN_GA(X1)
The graph contains the following edges 1 > 1

(57) YES

(58) Obligation:

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

QUOTZ_IN_GGA(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → QUOTY_IN_GGGA(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)
QUOTY_IN_GGGA(s(X1), s(X2), X3, X4) → QUOTY_IN_GGGA(X1, X2, X3, X4)
QUOTY_IN_GGGA(s(s(X1)), 0, s(X2), s(X3)) → QUOTZ_IN_GGA(X1, X2, X3)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTZ_IN_GGA(x1, x2, x3) = QUOTZ_IN_GGA(x1, x2)
QUOTY_IN_GGGA(x1, x2, x3, x4) = QUOTY_IN_GGGA(x1, x2, x3)

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

(59) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(60) Obligation:

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

QUOTZ_IN_GGA(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → QUOTY_IN_GGGA(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)
QUOTY_IN_GGGA(s(X1), s(X2), X3, X4) → QUOTY_IN_GGGA(X1, X2, X3, X4)
QUOTY_IN_GGGA(s(s(X1)), 0, s(X2), s(X3)) → QUOTZ_IN_GGA(X1, X2, X3)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
0 = 0
QUOTZ_IN_GGA(x1, x2, x3) = QUOTZ_IN_GGA(x1, x2)
QUOTY_IN_GGGA(x1, x2, x3, x4) = QUOTY_IN_GGGA(x1, x2, x3)

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

(61) PiDPToQDPProof (SOUND transformation)

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

(62) Obligation:

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

QUOTZ_IN_GGA(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2))))))) → QUOTY_IN_GGGA(X1, X2, s(s(s(s(s(s(s(X2))))))))
QUOTY_IN_GGGA(s(X1), s(X2), X3) → QUOTY_IN_GGGA(X1, X2, X3)
QUOTY_IN_GGGA(s(s(X1)), 0, s(X2)) → QUOTZ_IN_GGA(X1, X2)

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

(63) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTY_IN_GGGA(s(s(X1)), 0, s(X2)) → QUOTZ_IN_GGA(X1, X2)
The graph contains the following edges 1 > 1, 3 > 2
QUOTY_IN_GGGA(s(X1), s(X2), X3) → QUOTY_IN_GGGA(X1, X2, X3)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
QUOTZ_IN_GGA(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2))))))) → QUOTY_IN_GGGA(X1, X2, s(s(s(s(s(s(s(X2))))))))
The graph contains the following edges 1 > 1, 2 > 2

(64) YES

(65) Obligation:

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

QUOTT_IN_GGA(s(X1), X2, X3) → QUOTT_IN_GGA(X1, X2, X3)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTT_IN_GGA(x1, x2, x3) = QUOTT_IN_GGA(x1, x2)

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

(66) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(67) Obligation:

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

QUOTT_IN_GGA(s(X1), X2, X3) → QUOTT_IN_GGA(X1, X2, X3)

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

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

(68) PiDPToQDPProof (SOUND transformation)

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

(69) Obligation:

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

QUOTT_IN_GGA(s(X1), X2) → QUOTT_IN_GGA(X1, X2)

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

(70) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTT_IN_GGA(s(X1), X2) → QUOTT_IN_GGA(X1, X2)
The graph contains the following edges 1 > 1, 2 >= 2

(71) YES

(72) Obligation:

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

QUOTO_IN_GGA(s(X1), X2, X3) → QUOTO_IN_GGA(X1, X2, X3)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTO_IN_GGA(x1, x2, x3) = QUOTO_IN_GGA(x1, x2)

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

(73) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(74) Obligation:

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

QUOTO_IN_GGA(s(X1), X2, X3) → QUOTO_IN_GGA(X1, X2, X3)

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

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

(75) PiDPToQDPProof (SOUND transformation)

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

(76) Obligation:

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

QUOTO_IN_GGA(s(X1), X2) → QUOTO_IN_GGA(X1, X2)

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

(77) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTO_IN_GGA(s(X1), X2) → QUOTO_IN_GGA(X1, X2)
The graph contains the following edges 1 > 1, 2 >= 2

(78) YES

(79) Obligation:

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

QUOTK_IN_GGA(s(X1), X2, X3) → QUOTK_IN_GGA(X1, X2, X3)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTK_IN_GGA(x1, x2, x3) = QUOTK_IN_GGA(x1, x2)

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

(80) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(81) Obligation:

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

QUOTK_IN_GGA(s(X1), X2, X3) → QUOTK_IN_GGA(X1, X2, X3)

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

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

(82) PiDPToQDPProof (SOUND transformation)

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

(83) Obligation:

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

QUOTK_IN_GGA(s(X1), X2) → QUOTK_IN_GGA(X1, X2)

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

(84) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTK_IN_GGA(s(X1), X2) → QUOTK_IN_GGA(X1, X2)
The graph contains the following edges 1 > 1, 2 >= 2

(85) YES

(86) Obligation:

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

QUOTF_IN_GGA(s(X1), X2, X3) → QUOTF_IN_GGA(X1, X2, X3)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTF_IN_GGA(x1, x2, x3) = QUOTF_IN_GGA(x1, x2)

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

(87) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(88) Obligation:

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

QUOTF_IN_GGA(s(X1), X2, X3) → QUOTF_IN_GGA(X1, X2, X3)

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

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

(89) PiDPToQDPProof (SOUND transformation)

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

(90) Obligation:

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

QUOTF_IN_GGA(s(X1), X2) → QUOTF_IN_GGA(X1, X2)

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

(91) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTF_IN_GGA(s(X1), X2) → QUOTF_IN_GGA(X1, X2)
The graph contains the following edges 1 > 1, 2 >= 2

(92) YES

(93) Obligation:

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

NEQE_IN_GG(s(X1), s(X2)) → NEQE_IN_GG(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
NEQE_IN_GG(x1, x2) = NEQE_IN_GG(x1, x2)

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

(94) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(95) Obligation:

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

NEQE_IN_GG(s(X1), s(X2)) → NEQE_IN_GG(X1, X2)

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

(96) PiDPToQDPProof (EQUIVALENT transformation)

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

(97) Obligation:

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

NEQE_IN_GG(s(X1), s(X2)) → NEQE_IN_GG(X1, X2)

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

(98) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

NEQE_IN_GG(s(X1), s(X2)) → NEQE_IN_GG(X1, X2)
The graph contains the following edges 1 > 1, 2 > 2

(99) YES

(100) Obligation:

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

ADDD_IN_GGA(s(X1), X2, s(X3)) → ADDD_IN_GGA(X1, X2, X3)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
ADDD_IN_GGA(x1, x2, x3) = ADDD_IN_GGA(x1, x2)

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

(101) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(102) Obligation:

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

ADDD_IN_GGA(s(X1), X2, s(X3)) → ADDD_IN_GGA(X1, X2, X3)

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

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

(103) PiDPToQDPProof (SOUND transformation)

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

(104) Obligation:

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

ADDD_IN_GGA(s(X1), X2) → ADDD_IN_GGA(X1, X2)

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

(105) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

ADDD_IN_GGA(s(X1), X2) → ADDD_IN_GGA(X1, X2)
The graph contains the following edges 1 > 1, 2 >= 2

(106) YES

(107) Obligation:

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

TIMESC_IN_GGA(s(X1), X2, X3) → TIMESC_IN_GGA(X1, X2, X4)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
TIMESC_IN_GGA(x1, x2, x3) = TIMESC_IN_GGA(x1, x2)

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

(108) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(109) Obligation:

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

TIMESC_IN_GGA(s(X1), X2, X3) → TIMESC_IN_GGA(X1, X2, X4)

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

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

(110) PiDPToQDPProof (SOUND transformation)

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

(111) Obligation:

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

TIMESC_IN_GGA(s(X1), X2) → TIMESC_IN_GGA(X1, X2)

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

(112) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

TIMESC_IN_GGA(s(X1), X2) → TIMESC_IN_GGA(X1, X2)
The graph contains the following edges 1 > 1, 2 >= 2

(113) YES

(114) Obligation:

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

PN8_IN_GG(s(X1), X2) → U35_GG(X1, X2, not_dividescN9_in_gg(s(X1), X2))
U35_GG(X1, X2, not_dividescN9_out_gg(s(X1), X2)) → PN8_IN_GG(X1, X2)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
PN8_IN_GG(x1, x2) = PN8_IN_GG(x1, x2)
U35_GG(x1, x2, x3) = U35_GG(x1, x2, x3)

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

(115) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(116) Obligation:

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

PN8_IN_GG(s(X1), X2) → U35_GG(X1, X2, not_dividescN9_in_gg(s(X1), X2))
U35_GG(X1, X2, not_dividescN9_out_gg(s(X1), X2)) → PN8_IN_GG(X1, X2)

The TRS R consists of the following rules:

not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
0 = 0
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
PN8_IN_GG(x1, x2) = PN8_IN_GG(x1, x2)
U35_GG(x1, x2, x3) = U35_GG(x1, x2, x3)

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

(117) PiDPToQDPProof (SOUND transformation)

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

(118) Obligation:

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

PN8_IN_GG(s(X1), X2) → U35_GG(X1, X2, not_dividescN9_in_gg(s(X1), X2))
U35_GG(X1, X2, not_dividescN9_out_gg(s(X1), X2)) → PN8_IN_GG(X1, X2)

The TRS R consists of the following rules:

not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1))
divcN20_in_gga(0, X1) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2) → U177_gga(X1, X2, quotcZ_in_gga(X1, X2))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U177_gga(X1, X2, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
timescC_in_gga(0, X1) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2) → U91_gga(X1, X2, timescC_in_gga(X1, X2))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)
quotcZ_in_gga(0, s(X1)) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1))) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1)))) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1))))) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1)))))) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1))))))) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2))))))) → U122_gga(X1, X2, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2)))))))))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0)))))) → U123_gga(X1, quotcN2_in_ga(X1))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0))))) → U124_gga(X1, quotcN3_in_ga(X1))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0)))) → U125_gga(X1, quotcN4_in_ga(X1))
quotcZ_in_gga(s(s(X1)), s(s(0))) → U126_gga(X1, quotcN5_in_ga(X1))
quotcZ_in_gga(s(X1), s(0)) → U127_gga(X1, quotcN6_in_ga(X1))
quotcZ_in_gga(X1, 0) → U128_gga(X1, quotcN7_in_ga(X1))
U91_gga(X1, X2, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, addcD_in_gga(X4, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
U122_gga(X1, X2, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U123_gga(X1, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
U124_gga(X1, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
U125_gga(X1, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
U126_gga(X1, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
U127_gga(X1, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
U128_gga(X1, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U92_gga(X1, X2, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
quotcY_in_ggga(0, s(X1), X2) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3) → U119_ggga(X1, X2, X3, quotcY_in_ggga(X1, X2, X3))
quotcY_in_ggga(0, 0, X1) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2)) → U120_ggga(X1, X2, quotcZ_in_gga(X1, X2))
quotcN2_in_ga(0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0)) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0))) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0)))) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0))))) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0)))))) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0))))))) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1)))))))) → U130_ga(X1, quotcN2_in_ga(X1))
quotcN3_in_ga(0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0)) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0))) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0)))) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0))))) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0)))))) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1))))))) → U131_ga(X1, quotcN3_in_ga(X1))
quotcN4_in_ga(0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0)) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0))) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0)))) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0))))) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1)))))) → U132_ga(X1, quotcN4_in_ga(X1))
quotcN5_in_ga(0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0)) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0))) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0)))) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1))))) → U133_ga(X1, quotcN5_in_ga(X1))
quotcN6_in_ga(0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0)) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0))) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1)))) → U134_ga(X1, quotcN6_in_ga(X1))
quotcN7_in_ga(0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0)) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1))) → U135_ga(X1, quotcN7_in_ga(X1))
addcD_in_gga(0, X1) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2) → U93_gga(X1, X2, addcD_in_gga(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U119_ggga(X1, X2, X3, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U120_ggga(X1, X2, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
U130_ga(X1, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U131_ga(X1, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U132_ga(X1, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U133_ga(X1, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U134_ga(X1, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U135_ga(X1, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U93_gga(X1, X2, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
quotcY_in_ggga(s(X1), 0, 0) → U121_ggga(X1, quotcN1_in_ga(X1))
U121_ggga(X1, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
quotcN1_in_ga(0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1)) → U129_ga(X1, quotcN1_in_ga(X1))
U129_ga(X1, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))

The set Q consists of the following terms:

not_dividescN9_in_gg(x0, x1)
U174_gg(x0, x1, x2)
divcN20_in_gga(x0, x1)
U175_gg(x0, x1, x2)
U177_gga(x0, x1, x2)
timescC_in_gga(x0, x1)
U176_gg(x0, x1, x2)
quotcZ_in_gga(x0, x1)
U91_gga(x0, x1, x2)
neqcJ_in_gg(x0, x1)
U122_gga(x0, x1, x2)
U123_gga(x0, x1)
U124_gga(x0, x1)
U125_gga(x0, x1)
U126_gga(x0, x1)
U127_gga(x0, x1)
U128_gga(x0, x1)
U92_gga(x0, x1, x2)
U136_gg(x0, x1, x2)
quotcY_in_ggga(x0, x1, x2)
quotcN2_in_ga(x0)
quotcN3_in_ga(x0)
quotcN4_in_ga(x0)
quotcN5_in_ga(x0)
quotcN6_in_ga(x0)
quotcN7_in_ga(x0)
addcD_in_gga(x0, x1)
neqcE_in_gg(x0, x1)
U119_ggga(x0, x1, x2, x3)
U120_ggga(x0, x1, x2)
U130_ga(x0, x1)
U131_ga(x0, x1)
U132_ga(x0, x1)
U133_ga(x0, x1)
U134_ga(x0, x1)
U135_ga(x0, x1)
U93_gga(x0, x1, x2)
U94_gg(x0, x1, x2)
U121_ggga(x0, x1)
quotcN1_in_ga(x0)
U129_ga(x0, x1)

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

(119) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

U35_GG(X1, X2, not_dividescN9_out_gg(s(X1), X2)) → PN8_IN_GG(X1, X2)
The graph contains the following edges 1 >= 1, 3 > 1, 2 >= 2, 3 > 2
PN8_IN_GG(s(X1), X2) → U35_GG(X1, X2, not_dividescN9_in_gg(s(X1), X2))
The graph contains the following edges 1 > 1, 2 >= 2

(120) YES

(121) Obligation:

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

QUOTA_IN_GGA(s(X1), X2, X3) → QUOTA_IN_GGA(X1, X2, X3)

The TRS R consists of the following rules:

divcN11_in_ga(s(s(s(s(s(s(X1)))))), X2) → U143_ga(X1, X2, quotcA_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcA_in_gga(s(X1), X2, X3) → U89_gga(X1, X2, X3, quotcA_in_gga(X1, X2, X3))
quotcA_in_gga(0, s(X1), s(0)) → quotcA_out_gga(0, s(X1), s(0))
quotcA_in_gga(0, 0, s(s(X1))) → U90_gga(X1, quotcB_in_a(X1))
quotcB_in_a(0) → quotcB_out_a(0)
U90_gga(X1, quotcB_out_a(X1)) → quotcA_out_gga(0, 0, s(s(X1)))
U89_gga(X1, X2, X3, quotcA_out_gga(X1, X2, X3)) → quotcA_out_gga(s(X1), X2, X3)
U143_ga(X1, X2, quotcA_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN11_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN11_in_ga(s(s(s(s(s(0))))), s(0)) → divcN11_out_ga(s(s(s(s(s(0))))), s(0))
divcN11_in_ga(s(s(s(s(0)))), s(0)) → divcN11_out_ga(s(s(s(s(0)))), s(0))
divcN11_in_ga(s(s(s(0))), s(0)) → divcN11_out_ga(s(s(s(0))), s(0))
divcN11_in_ga(s(s(0)), s(X1)) → U144_ga(X1, quotcV_in_a(X1))
quotcV_in_a(0) → quotcV_out_a(0)
U144_ga(X1, quotcV_out_a(X1)) → divcN11_out_ga(s(s(0)), s(X1))
divcN11_in_ga(s(0), s(X1)) → U145_ga(X1, quotcQ_in_a(X1))
quotcQ_in_a(0) → quotcQ_out_a(0)
U145_ga(X1, quotcQ_out_a(X1)) → divcN11_out_ga(s(0), s(X1))
divcN11_in_ga(0, s(X1)) → U146_ga(X1, quotcM_in_a(X1))
quotcM_in_a(0) → quotcM_out_a(0)
U146_ga(X1, quotcM_out_a(X1)) → divcN11_out_ga(0, s(X1))
timescC_in_gga(0, X1, 0) → timescC_out_gga(0, X1, 0)
timescC_in_gga(s(X1), X2, X3) → U91_gga(X1, X2, X3, timescC_in_gga(X1, X2, X4))
U91_gga(X1, X2, X3, timescC_out_gga(X1, X2, X4)) → U92_gga(X1, X2, X3, addcD_in_gga(X4, X2, X3))
addcD_in_gga(0, X1, s(s(X1))) → addcD_out_gga(0, X1, s(s(X1)))
addcD_in_gga(s(X1), X2, s(X3)) → U93_gga(X1, X2, X3, addcD_in_gga(X1, X2, X3))
U93_gga(X1, X2, X3, addcD_out_gga(X1, X2, X3)) → addcD_out_gga(s(X1), X2, s(X3))
U92_gga(X1, X2, X3, addcD_out_gga(X4, X2, X3)) → timescC_out_gga(s(X1), X2, X3)
not_dividescN10_in_g(X1) → U140_g(X1, divcN11_in_ga(X1, X2))
U140_g(X1, divcN11_out_ga(X1, X2)) → U141_g(X1, timescC_in_gga(X2, X1, X3))
U141_g(X1, timescC_out_gga(X2, X1, X3)) → U142_g(X1, neqcI_in_gg(X1, X3))
neqcI_in_gg(X1, 0) → neqcI_out_gg(X1, 0)
neqcI_in_gg(X1, s(0)) → neqcI_out_gg(X1, s(0))
neqcI_in_gg(X1, s(s(X2))) → U98_gg(X1, X2, neqcJ_in_gg(X1, X2))
neqcJ_in_gg(X1, 0) → neqcJ_out_gg(X1, 0)
neqcJ_in_gg(X1, s(X2)) → U136_gg(X1, X2, neqcE_in_gg(X1, X2))
neqcE_in_gg(s(X1), 0) → neqcE_out_gg(s(X1), 0)
neqcE_in_gg(0, s(X1)) → neqcE_out_gg(0, s(X1))
neqcE_in_gg(s(X1), s(X2)) → U94_gg(X1, X2, neqcE_in_gg(X1, X2))
U94_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcE_out_gg(s(X1), s(X2))
U136_gg(X1, X2, neqcE_out_gg(X1, X2)) → neqcJ_out_gg(X1, s(X2))
U98_gg(X1, X2, neqcJ_out_gg(X1, X2)) → neqcI_out_gg(X1, s(s(X2)))
U142_g(X1, neqcI_out_gg(X1, X3)) → not_dividescN10_out_g(X1)
divcN13_in_ga(s(s(s(s(s(s(X1)))))), X2) → U150_ga(X1, X2, quotcF_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcF_in_gga(s(X1), X2, X3) → U95_gga(X1, X2, X3, quotcF_in_gga(X1, X2, X3))
quotcF_in_gga(0, s(s(X1)), s(0)) → quotcF_out_gga(0, s(s(X1)), s(0))
quotcF_in_gga(0, s(0), s(s(X1))) → U96_gga(X1, quotcG_in_a(X1))
quotcG_in_a(0) → quotcG_out_a(0)
U96_gga(X1, quotcG_out_a(X1)) → quotcF_out_gga(0, s(0), s(s(X1)))
quotcF_in_gga(0, 0, s(s(X1))) → U97_gga(X1, quotcH_in_a(X1))
quotcH_in_a(s(X1)) → U103_a(X1, quotcB_in_a(X1))
U103_a(X1, quotcB_out_a(X1)) → quotcH_out_a(s(X1))
U97_gga(X1, quotcH_out_a(X1)) → quotcF_out_gga(0, 0, s(s(X1)))
U95_gga(X1, X2, X3, quotcF_out_gga(X1, X2, X3)) → quotcF_out_gga(s(X1), X2, X3)
U150_ga(X1, X2, quotcF_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN13_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN13_in_ga(s(s(s(s(s(0))))), s(0)) → divcN13_out_ga(s(s(s(s(s(0))))), s(0))
divcN13_in_ga(s(s(s(s(0)))), s(0)) → divcN13_out_ga(s(s(s(s(0)))), s(0))
divcN13_in_ga(s(s(s(0))), s(0)) → divcN13_out_ga(s(s(s(0))), s(0))
divcN13_in_ga(s(s(0)), s(0)) → divcN13_out_ga(s(s(0)), s(0))
divcN13_in_ga(s(0), s(X1)) → U151_ga(X1, quotcW_in_a(X1))
quotcW_in_a(0) → quotcW_out_a(0)
U151_ga(X1, quotcW_out_a(X1)) → divcN13_out_ga(s(0), s(X1))
divcN13_in_ga(0, s(X1)) → U152_ga(X1, quotcR_in_a(X1))
quotcR_in_a(s(X1)) → U109_a(X1, quotcG_in_a(X1))
U109_a(X1, quotcG_out_a(X1)) → quotcR_out_a(s(X1))
U152_ga(X1, quotcR_out_a(X1)) → divcN13_out_ga(0, s(X1))
not_dividescN12_in_g(X1) → U147_g(X1, divcN13_in_ga(X1, X2))
U147_g(X1, divcN13_out_ga(X1, X2)) → U148_g(X1, timescC_in_gga(X2, X1, X3))
U148_g(X1, timescC_out_gga(X2, X1, X3)) → U149_g(X1, neqcI_in_gg(s(X1), X3))
U149_g(X1, neqcI_out_gg(s(X1), X3)) → not_dividescN12_out_g(X1)
divcN15_in_ga(s(s(s(s(s(s(X1)))))), X2) → U156_ga(X1, X2, quotcK_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcK_in_gga(s(X1), X2, X3) → U99_gga(X1, X2, X3, quotcK_in_gga(X1, X2, X3))
quotcK_in_gga(0, s(s(s(X1))), s(0)) → quotcK_out_gga(0, s(s(s(X1))), s(0))
quotcK_in_gga(0, s(s(0)), s(s(X1))) → U100_gga(X1, quotcL_in_a(X1))
quotcL_in_a(0) → quotcL_out_a(0)
U100_gga(X1, quotcL_out_a(X1)) → quotcK_out_gga(0, s(s(0)), s(s(X1)))
quotcK_in_gga(0, s(0), s(s(X1))) → U101_gga(X1, quotcM_in_a(X1))
U101_gga(X1, quotcM_out_a(X1)) → quotcK_out_gga(0, s(0), s(s(X1)))
quotcK_in_gga(0, 0, s(s(X1))) → U102_gga(X1, quotcN_in_a(X1))
quotcN_in_a(s(X1)) → U110_a(X1, quotcH_in_a(X1))
U110_a(X1, quotcH_out_a(X1)) → quotcN_out_a(s(X1))
U102_gga(X1, quotcN_out_a(X1)) → quotcK_out_gga(0, 0, s(s(X1)))
U99_gga(X1, X2, X3, quotcK_out_gga(X1, X2, X3)) → quotcK_out_gga(s(X1), X2, X3)
U156_ga(X1, X2, quotcK_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN15_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN15_in_ga(s(s(s(s(s(0))))), s(0)) → divcN15_out_ga(s(s(s(s(s(0))))), s(0))
divcN15_in_ga(s(s(s(s(0)))), s(0)) → divcN15_out_ga(s(s(s(s(0)))), s(0))
divcN15_in_ga(s(s(s(0))), s(0)) → divcN15_out_ga(s(s(s(0))), s(0))
divcN15_in_ga(s(s(0)), s(0)) → divcN15_out_ga(s(s(0)), s(0))
divcN15_in_ga(s(0), s(s(X1))) → U157_ga(X1, quotcL_in_a(X1))
U157_ga(X1, quotcL_out_a(X1)) → divcN15_out_ga(s(0), s(s(X1)))
divcN15_in_ga(0, s(X1)) → U158_ga(X1, quotcX_in_a(X1))
quotcX_in_a(s(X1)) → U117_a(X1, quotcM_in_a(X1))
U117_a(X1, quotcM_out_a(X1)) → quotcX_out_a(s(X1))
U158_ga(X1, quotcX_out_a(X1)) → divcN15_out_ga(0, s(X1))
not_dividescN14_in_g(X1) → U153_g(X1, divcN15_in_ga(X1, X2))
U153_g(X1, divcN15_out_ga(X1, X2)) → U154_g(X1, timescC_in_gga(X2, X1, X3))
U154_g(X1, timescC_out_gga(X2, X1, X3)) → U155_g(X1, neqcI_in_gg(s(s(X1)), X3))
U155_g(X1, neqcI_out_gg(s(s(X1)), X3)) → not_dividescN14_out_g(X1)
divcN17_in_ga(s(s(s(s(s(s(X1)))))), X2) → U162_ga(X1, X2, quotcO_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcO_in_gga(s(X1), X2, X3) → U104_gga(X1, X2, X3, quotcO_in_gga(X1, X2, X3))
quotcO_in_gga(0, s(s(s(s(X1)))), s(0)) → quotcO_out_gga(0, s(s(s(s(X1)))), s(0))
quotcO_in_gga(0, s(s(s(0))), s(s(X1))) → U105_gga(X1, quotcP_in_a(X1))
quotcP_in_a(0) → quotcP_out_a(0)
U105_gga(X1, quotcP_out_a(X1)) → quotcO_out_gga(0, s(s(s(0))), s(s(X1)))
quotcO_in_gga(0, s(s(0)), s(s(X1))) → U106_gga(X1, quotcQ_in_a(X1))
U106_gga(X1, quotcQ_out_a(X1)) → quotcO_out_gga(0, s(s(0)), s(s(X1)))
quotcO_in_gga(0, s(0), s(s(X1))) → U107_gga(X1, quotcR_in_a(X1))
U107_gga(X1, quotcR_out_a(X1)) → quotcO_out_gga(0, s(0), s(s(X1)))
quotcO_in_gga(0, 0, s(s(X1))) → U108_gga(X1, quotcS_in_a(X1))
quotcS_in_a(s(X1)) → U118_a(X1, quotcN_in_a(X1))
U118_a(X1, quotcN_out_a(X1)) → quotcS_out_a(s(X1))
U108_gga(X1, quotcS_out_a(X1)) → quotcO_out_gga(0, 0, s(s(X1)))
U104_gga(X1, X2, X3, quotcO_out_gga(X1, X2, X3)) → quotcO_out_gga(s(X1), X2, X3)
U162_ga(X1, X2, quotcO_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN17_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN17_in_ga(s(s(s(s(s(0))))), s(0)) → divcN17_out_ga(s(s(s(s(s(0))))), s(0))
divcN17_in_ga(s(s(s(s(0)))), s(0)) → divcN17_out_ga(s(s(s(s(0)))), s(0))
divcN17_in_ga(s(s(s(0))), s(0)) → divcN17_out_ga(s(s(s(0))), s(0))
divcN17_in_ga(s(s(0)), s(s(X1))) → U163_ga(X1, quotcP_in_a(X1))
U163_ga(X1, quotcP_out_a(X1)) → divcN17_out_ga(s(s(0)), s(s(X1)))
divcN17_in_ga(s(0), s(s(X1))) → U164_ga(X1, quotcQ_in_a(X1))
U164_ga(X1, quotcQ_out_a(X1)) → divcN17_out_ga(s(0), s(s(X1)))
divcN17_in_ga(0, s(s(X1))) → U165_ga(X1, quotcR_in_a(X1))
U165_ga(X1, quotcR_out_a(X1)) → divcN17_out_ga(0, s(s(X1)))
not_dividescN16_in_g(X1) → U159_g(X1, divcN17_in_ga(X1, X2))
U159_g(X1, divcN17_out_ga(X1, X2)) → U160_g(X1, timescC_in_gga(X2, X1, X3))
U160_g(X1, timescC_out_gga(X2, X1, X3)) → U161_g(X1, neqcI_in_gg(s(s(s(X1))), X3))
U161_g(X1, neqcI_out_gg(s(s(s(X1))), X3)) → not_dividescN16_out_g(X1)
divcN19_in_ga(s(s(s(s(s(s(X1)))))), X2) → U169_ga(X1, X2, quotcT_in_gga(X1, s(s(s(s(s(s(s(X1))))))), X2))
quotcT_in_gga(s(X1), X2, X3) → U111_gga(X1, X2, X3, quotcT_in_gga(X1, X2, X3))
quotcT_in_gga(0, s(s(s(s(s(X1))))), s(0)) → quotcT_out_gga(0, s(s(s(s(s(X1))))), s(0))
quotcT_in_gga(0, s(s(s(s(0)))), s(s(X1))) → U112_gga(X1, quotcU_in_a(X1))
quotcU_in_a(0) → quotcU_out_a(0)
U112_gga(X1, quotcU_out_a(X1)) → quotcT_out_gga(0, s(s(s(s(0)))), s(s(X1)))
quotcT_in_gga(0, s(s(s(0))), s(s(X1))) → U113_gga(X1, quotcV_in_a(X1))
U113_gga(X1, quotcV_out_a(X1)) → quotcT_out_gga(0, s(s(s(0))), s(s(X1)))
quotcT_in_gga(0, s(s(0)), s(s(X1))) → U114_gga(X1, quotcW_in_a(X1))
U114_gga(X1, quotcW_out_a(X1)) → quotcT_out_gga(0, s(s(0)), s(s(X1)))
quotcT_in_gga(0, s(0), s(s(X1))) → U115_gga(X1, quotcX_in_a(X1))
U115_gga(X1, quotcX_out_a(X1)) → quotcT_out_gga(0, s(0), s(s(X1)))
quotcT_in_gga(0, 0, s(s(s(X1)))) → U116_gga(X1, quotcS_in_a(X1))
U116_gga(X1, quotcS_out_a(X1)) → quotcT_out_gga(0, 0, s(s(s(X1))))
U111_gga(X1, X2, X3, quotcT_out_gga(X1, X2, X3)) → quotcT_out_gga(s(X1), X2, X3)
U169_ga(X1, X2, quotcT_out_gga(X1, s(s(s(s(s(s(s(X1))))))), X2)) → divcN19_out_ga(s(s(s(s(s(s(X1)))))), X2)
divcN19_in_ga(s(s(s(s(s(0))))), s(0)) → divcN19_out_ga(s(s(s(s(s(0))))), s(0))
divcN19_in_ga(s(s(s(s(0)))), s(0)) → divcN19_out_ga(s(s(s(s(0)))), s(0))
divcN19_in_ga(s(s(s(0))), s(s(X1))) → U170_ga(X1, quotcU_in_a(X1))
U170_ga(X1, quotcU_out_a(X1)) → divcN19_out_ga(s(s(s(0))), s(s(X1)))
divcN19_in_ga(s(s(0)), s(s(X1))) → U171_ga(X1, quotcV_in_a(X1))
U171_ga(X1, quotcV_out_a(X1)) → divcN19_out_ga(s(s(0)), s(s(X1)))
divcN19_in_ga(s(0), s(s(X1))) → U172_ga(X1, quotcW_in_a(X1))
U172_ga(X1, quotcW_out_a(X1)) → divcN19_out_ga(s(0), s(s(X1)))
divcN19_in_ga(0, s(s(X1))) → U173_ga(X1, quotcX_in_a(X1))
U173_ga(X1, quotcX_out_a(X1)) → divcN19_out_ga(0, s(s(X1)))
not_dividescN18_in_g(X1) → U166_g(X1, divcN19_in_ga(X1, X2))
U166_g(X1, divcN19_out_ga(X1, X2)) → U167_g(X1, timescC_in_gga(X2, X1, X3))
U167_g(X1, timescC_out_gga(X2, X1, X3)) → U168_g(X1, neqcI_in_gg(s(s(s(s(X1)))), X3))
U168_g(X1, neqcI_out_gg(s(s(s(s(X1)))), X3)) → not_dividescN18_out_g(X1)
divcN20_in_gga(0, X1, 0) → divcN20_out_gga(0, X1, 0)
divcN20_in_gga(s(X1), X2, X3) → U177_gga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(0, s(X1), 0) → quotcZ_out_gga(0, s(X1), 0)
quotcZ_in_gga(s(0), s(s(X1)), 0) → quotcZ_out_gga(s(0), s(s(X1)), 0)
quotcZ_in_gga(s(s(0)), s(s(s(X1))), 0) → quotcZ_out_gga(s(s(0)), s(s(s(X1))), 0)
quotcZ_in_gga(s(s(s(0))), s(s(s(s(X1)))), 0) → quotcZ_out_gga(s(s(s(0))), s(s(s(s(X1)))), 0)
quotcZ_in_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0) → quotcZ_out_gga(s(s(s(s(0)))), s(s(s(s(s(X1))))), 0)
quotcZ_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0) → quotcZ_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(X1)))))), 0)
quotcZ_in_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3) → U122_gga(X1, X2, X3, quotcY_in_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3))
quotcY_in_ggga(0, s(X1), X2, 0) → quotcY_out_ggga(0, s(X1), X2, 0)
quotcY_in_ggga(s(X1), s(X2), X3, X4) → U119_ggga(X1, X2, X3, X4, quotcY_in_ggga(X1, X2, X3, X4))
quotcY_in_ggga(0, 0, X1, s(0)) → quotcY_out_ggga(0, 0, X1, s(0))
quotcY_in_ggga(s(0), 0, s(X1), s(0)) → quotcY_out_ggga(s(0), 0, s(X1), s(0))
quotcY_in_ggga(s(s(X1)), 0, s(X2), s(X3)) → U120_ggga(X1, X2, X3, quotcZ_in_gga(X1, X2, X3))
quotcZ_in_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2)) → U123_gga(X1, X2, quotcN2_in_ga(X1, X2))
quotcN2_in_ga(0, 0) → quotcN2_out_ga(0, 0)
quotcN2_in_ga(s(0), 0) → quotcN2_out_ga(s(0), 0)
quotcN2_in_ga(s(s(0)), 0) → quotcN2_out_ga(s(s(0)), 0)
quotcN2_in_ga(s(s(s(0))), 0) → quotcN2_out_ga(s(s(s(0))), 0)
quotcN2_in_ga(s(s(s(s(0)))), 0) → quotcN2_out_ga(s(s(s(s(0)))), 0)
quotcN2_in_ga(s(s(s(s(s(0))))), 0) → quotcN2_out_ga(s(s(s(s(s(0))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(0)))))), 0) → quotcN2_out_ga(s(s(s(s(s(s(0)))))), 0)
quotcN2_in_ga(s(s(s(s(s(s(s(X1))))))), s(X2)) → U130_ga(X1, X2, quotcN2_in_ga(X1, X2))
U130_ga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcN2_out_ga(s(s(s(s(s(s(s(X1))))))), s(X2))
U123_gga(X1, X2, quotcN2_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(s(X1))))), s(s(s(s(s(0))))), s(X2))
quotcZ_in_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2)) → U124_gga(X1, X2, quotcN3_in_ga(X1, X2))
quotcN3_in_ga(0, 0) → quotcN3_out_ga(0, 0)
quotcN3_in_ga(s(0), 0) → quotcN3_out_ga(s(0), 0)
quotcN3_in_ga(s(s(0)), 0) → quotcN3_out_ga(s(s(0)), 0)
quotcN3_in_ga(s(s(s(0))), 0) → quotcN3_out_ga(s(s(s(0))), 0)
quotcN3_in_ga(s(s(s(s(0)))), 0) → quotcN3_out_ga(s(s(s(s(0)))), 0)
quotcN3_in_ga(s(s(s(s(s(0))))), 0) → quotcN3_out_ga(s(s(s(s(s(0))))), 0)
quotcN3_in_ga(s(s(s(s(s(s(X1)))))), s(X2)) → U131_ga(X1, X2, quotcN3_in_ga(X1, X2))
U131_ga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcN3_out_ga(s(s(s(s(s(s(X1)))))), s(X2))
U124_gga(X1, X2, quotcN3_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(s(X1)))), s(s(s(s(0)))), s(X2))
quotcZ_in_gga(s(s(s(X1))), s(s(s(0))), s(X2)) → U125_gga(X1, X2, quotcN4_in_ga(X1, X2))
quotcN4_in_ga(0, 0) → quotcN4_out_ga(0, 0)
quotcN4_in_ga(s(0), 0) → quotcN4_out_ga(s(0), 0)
quotcN4_in_ga(s(s(0)), 0) → quotcN4_out_ga(s(s(0)), 0)
quotcN4_in_ga(s(s(s(0))), 0) → quotcN4_out_ga(s(s(s(0))), 0)
quotcN4_in_ga(s(s(s(s(0)))), 0) → quotcN4_out_ga(s(s(s(s(0)))), 0)
quotcN4_in_ga(s(s(s(s(s(X1))))), s(X2)) → U132_ga(X1, X2, quotcN4_in_ga(X1, X2))
U132_ga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcN4_out_ga(s(s(s(s(s(X1))))), s(X2))
U125_gga(X1, X2, quotcN4_out_ga(X1, X2)) → quotcZ_out_gga(s(s(s(X1))), s(s(s(0))), s(X2))
quotcZ_in_gga(s(s(X1)), s(s(0)), s(X2)) → U126_gga(X1, X2, quotcN5_in_ga(X1, X2))
quotcN5_in_ga(0, 0) → quotcN5_out_ga(0, 0)
quotcN5_in_ga(s(0), 0) → quotcN5_out_ga(s(0), 0)
quotcN5_in_ga(s(s(0)), 0) → quotcN5_out_ga(s(s(0)), 0)
quotcN5_in_ga(s(s(s(0))), 0) → quotcN5_out_ga(s(s(s(0))), 0)
quotcN5_in_ga(s(s(s(s(X1)))), s(X2)) → U133_ga(X1, X2, quotcN5_in_ga(X1, X2))
U133_ga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcN5_out_ga(s(s(s(s(X1)))), s(X2))
U126_gga(X1, X2, quotcN5_out_ga(X1, X2)) → quotcZ_out_gga(s(s(X1)), s(s(0)), s(X2))
quotcZ_in_gga(s(X1), s(0), s(X2)) → U127_gga(X1, X2, quotcN6_in_ga(X1, X2))
quotcN6_in_ga(0, 0) → quotcN6_out_ga(0, 0)
quotcN6_in_ga(s(0), 0) → quotcN6_out_ga(s(0), 0)
quotcN6_in_ga(s(s(0)), 0) → quotcN6_out_ga(s(s(0)), 0)
quotcN6_in_ga(s(s(s(X1))), s(X2)) → U134_ga(X1, X2, quotcN6_in_ga(X1, X2))
U134_ga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcN6_out_ga(s(s(s(X1))), s(X2))
U127_gga(X1, X2, quotcN6_out_ga(X1, X2)) → quotcZ_out_gga(s(X1), s(0), s(X2))
quotcZ_in_gga(X1, 0, s(X2)) → U128_gga(X1, X2, quotcN7_in_ga(X1, X2))
quotcN7_in_ga(0, 0) → quotcN7_out_ga(0, 0)
quotcN7_in_ga(s(0), 0) → quotcN7_out_ga(s(0), 0)
quotcN7_in_ga(s(s(X1)), s(X2)) → U135_ga(X1, X2, quotcN7_in_ga(X1, X2))
U135_ga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcN7_out_ga(s(s(X1)), s(X2))
U128_gga(X1, X2, quotcN7_out_ga(X1, X2)) → quotcZ_out_gga(X1, 0, s(X2))
U120_ggga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → quotcY_out_ggga(s(s(X1)), 0, s(X2), s(X3))
quotcY_in_ggga(s(X1), 0, 0, s(s(X2))) → U121_ggga(X1, X2, quotcN1_in_ga(X1, X2))
quotcN1_in_ga(0, 0) → quotcN1_out_ga(0, 0)
quotcN1_in_ga(s(X1), s(X2)) → U129_ga(X1, X2, quotcN1_in_ga(X1, X2))
U129_ga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcN1_out_ga(s(X1), s(X2))
U121_ggga(X1, X2, quotcN1_out_ga(X1, X2)) → quotcY_out_ggga(s(X1), 0, 0, s(s(X2)))
U119_ggga(X1, X2, X3, X4, quotcY_out_ggga(X1, X2, X3, X4)) → quotcY_out_ggga(s(X1), s(X2), X3, X4)
U122_gga(X1, X2, X3, quotcY_out_ggga(X1, X2, s(s(s(s(s(s(s(X2))))))), X3)) → quotcZ_out_gga(s(s(s(s(s(s(X1)))))), s(s(s(s(s(s(X2)))))), X3)
U177_gga(X1, X2, X3, quotcZ_out_gga(X1, X2, X3)) → divcN20_out_gga(s(X1), X2, X3)
not_dividescN9_in_gg(X1, X2) → U174_gg(X1, X2, divcN20_in_gga(X2, X1, X3))
U174_gg(X1, X2, divcN20_out_gga(X2, X1, X3)) → U175_gg(X1, X2, timescC_in_gga(X3, X1, X4))
U175_gg(X1, X2, timescC_out_gga(X3, X1, X4)) → U176_gg(X1, X2, neqcJ_in_gg(X2, X4))
U176_gg(X1, X2, neqcJ_out_gg(X2, X4)) → not_dividescN9_out_gg(X1, X2)

The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
divcN11_in_ga(x1, x2) = divcN11_in_ga(x1)
U143_ga(x1, x2, x3) = U143_ga(x1, x3)
quotcA_in_gga(x1, x2, x3) = quotcA_in_gga(x1, x2)
U89_gga(x1, x2, x3, x4) = U89_gga(x1, x2, x4)
0 = 0
quotcA_out_gga(x1, x2, x3) = quotcA_out_gga(x1, x2, x3)
U90_gga(x1, x2) = U90_gga(x2)
quotcB_in_a(x1) = quotcB_in_a
quotcB_out_a(x1) = quotcB_out_a(x1)
divcN11_out_ga(x1, x2) = divcN11_out_ga(x1, x2)
U144_ga(x1, x2) = U144_ga(x2)
quotcV_in_a(x1) = quotcV_in_a
quotcV_out_a(x1) = quotcV_out_a(x1)
U145_ga(x1, x2) = U145_ga(x2)
quotcQ_in_a(x1) = quotcQ_in_a
quotcQ_out_a(x1) = quotcQ_out_a(x1)
U146_ga(x1, x2) = U146_ga(x2)
quotcM_in_a(x1) = quotcM_in_a
quotcM_out_a(x1) = quotcM_out_a(x1)
timescC_in_gga(x1, x2, x3) = timescC_in_gga(x1, x2)
timescC_out_gga(x1, x2, x3) = timescC_out_gga(x1, x2, x3)
U91_gga(x1, x2, x3, x4) = U91_gga(x1, x2, x4)
U92_gga(x1, x2, x3, x4) = U92_gga(x1, x2, x4)
addcD_in_gga(x1, x2, x3) = addcD_in_gga(x1, x2)
addcD_out_gga(x1, x2, x3) = addcD_out_gga(x1, x2, x3)
U93_gga(x1, x2, x3, x4) = U93_gga(x1, x2, x4)
not_dividescN10_in_g(x1) = not_dividescN10_in_g(x1)
U140_g(x1, x2) = U140_g(x1, x2)
U141_g(x1, x2) = U141_g(x1, x2)
U142_g(x1, x2) = U142_g(x1, x2)
neqcI_in_gg(x1, x2) = neqcI_in_gg(x1, x2)
neqcI_out_gg(x1, x2) = neqcI_out_gg(x1, x2)
U98_gg(x1, x2, x3) = U98_gg(x1, x2, x3)
neqcJ_in_gg(x1, x2) = neqcJ_in_gg(x1, x2)
neqcJ_out_gg(x1, x2) = neqcJ_out_gg(x1, x2)
U136_gg(x1, x2, x3) = U136_gg(x1, x2, x3)
neqcE_in_gg(x1, x2) = neqcE_in_gg(x1, x2)
neqcE_out_gg(x1, x2) = neqcE_out_gg(x1, x2)
U94_gg(x1, x2, x3) = U94_gg(x1, x2, x3)
not_dividescN10_out_g(x1) = not_dividescN10_out_g(x1)
divcN13_in_ga(x1, x2) = divcN13_in_ga(x1)
U150_ga(x1, x2, x3) = U150_ga(x1, x3)
quotcF_in_gga(x1, x2, x3) = quotcF_in_gga(x1, x2)
U95_gga(x1, x2, x3, x4) = U95_gga(x1, x2, x4)
quotcF_out_gga(x1, x2, x3) = quotcF_out_gga(x1, x2, x3)
U96_gga(x1, x2) = U96_gga(x2)
quotcG_in_a(x1) = quotcG_in_a
quotcG_out_a(x1) = quotcG_out_a(x1)
U97_gga(x1, x2) = U97_gga(x2)
quotcH_in_a(x1) = quotcH_in_a
U103_a(x1, x2) = U103_a(x2)
quotcH_out_a(x1) = quotcH_out_a(x1)
divcN13_out_ga(x1, x2) = divcN13_out_ga(x1, x2)
U151_ga(x1, x2) = U151_ga(x2)
quotcW_in_a(x1) = quotcW_in_a
quotcW_out_a(x1) = quotcW_out_a(x1)
U152_ga(x1, x2) = U152_ga(x2)
quotcR_in_a(x1) = quotcR_in_a
U109_a(x1, x2) = U109_a(x2)
quotcR_out_a(x1) = quotcR_out_a(x1)
not_dividescN12_in_g(x1) = not_dividescN12_in_g(x1)
U147_g(x1, x2) = U147_g(x1, x2)
U148_g(x1, x2) = U148_g(x1, x2)
U149_g(x1, x2) = U149_g(x1, x2)
not_dividescN12_out_g(x1) = not_dividescN12_out_g(x1)
divcN15_in_ga(x1, x2) = divcN15_in_ga(x1)
U156_ga(x1, x2, x3) = U156_ga(x1, x3)
quotcK_in_gga(x1, x2, x3) = quotcK_in_gga(x1, x2)
U99_gga(x1, x2, x3, x4) = U99_gga(x1, x2, x4)
quotcK_out_gga(x1, x2, x3) = quotcK_out_gga(x1, x2, x3)
U100_gga(x1, x2) = U100_gga(x2)
quotcL_in_a(x1) = quotcL_in_a
quotcL_out_a(x1) = quotcL_out_a(x1)
U101_gga(x1, x2) = U101_gga(x2)
U102_gga(x1, x2) = U102_gga(x2)
quotcN_in_a(x1) = quotcN_in_a
U110_a(x1, x2) = U110_a(x2)
quotcN_out_a(x1) = quotcN_out_a(x1)
divcN15_out_ga(x1, x2) = divcN15_out_ga(x1, x2)
U157_ga(x1, x2) = U157_ga(x2)
U158_ga(x1, x2) = U158_ga(x2)
quotcX_in_a(x1) = quotcX_in_a
U117_a(x1, x2) = U117_a(x2)
quotcX_out_a(x1) = quotcX_out_a(x1)
not_dividescN14_in_g(x1) = not_dividescN14_in_g(x1)
U153_g(x1, x2) = U153_g(x1, x2)
U154_g(x1, x2) = U154_g(x1, x2)
U155_g(x1, x2) = U155_g(x1, x2)
not_dividescN14_out_g(x1) = not_dividescN14_out_g(x1)
divcN17_in_ga(x1, x2) = divcN17_in_ga(x1)
U162_ga(x1, x2, x3) = U162_ga(x1, x3)
quotcO_in_gga(x1, x2, x3) = quotcO_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4) = U104_gga(x1, x2, x4)
quotcO_out_gga(x1, x2, x3) = quotcO_out_gga(x1, x2, x3)
U105_gga(x1, x2) = U105_gga(x2)
quotcP_in_a(x1) = quotcP_in_a
quotcP_out_a(x1) = quotcP_out_a(x1)
U106_gga(x1, x2) = U106_gga(x2)
U107_gga(x1, x2) = U107_gga(x2)
U108_gga(x1, x2) = U108_gga(x2)
quotcS_in_a(x1) = quotcS_in_a
U118_a(x1, x2) = U118_a(x2)
quotcS_out_a(x1) = quotcS_out_a(x1)
divcN17_out_ga(x1, x2) = divcN17_out_ga(x1, x2)
U163_ga(x1, x2) = U163_ga(x2)
U164_ga(x1, x2) = U164_ga(x2)
U165_ga(x1, x2) = U165_ga(x2)
not_dividescN16_in_g(x1) = not_dividescN16_in_g(x1)
U159_g(x1, x2) = U159_g(x1, x2)
U160_g(x1, x2) = U160_g(x1, x2)
U161_g(x1, x2) = U161_g(x1, x2)
not_dividescN16_out_g(x1) = not_dividescN16_out_g(x1)
divcN19_in_ga(x1, x2) = divcN19_in_ga(x1)
U169_ga(x1, x2, x3) = U169_ga(x1, x3)
quotcT_in_gga(x1, x2, x3) = quotcT_in_gga(x1, x2)
U111_gga(x1, x2, x3, x4) = U111_gga(x1, x2, x4)
quotcT_out_gga(x1, x2, x3) = quotcT_out_gga(x1, x2, x3)
U112_gga(x1, x2) = U112_gga(x2)
quotcU_in_a(x1) = quotcU_in_a
quotcU_out_a(x1) = quotcU_out_a(x1)
U113_gga(x1, x2) = U113_gga(x2)
U114_gga(x1, x2) = U114_gga(x2)
U115_gga(x1, x2) = U115_gga(x2)
U116_gga(x1, x2) = U116_gga(x2)
divcN19_out_ga(x1, x2) = divcN19_out_ga(x1, x2)
U170_ga(x1, x2) = U170_ga(x2)
U171_ga(x1, x2) = U171_ga(x2)
U172_ga(x1, x2) = U172_ga(x2)
U173_ga(x1, x2) = U173_ga(x2)
not_dividescN18_in_g(x1) = not_dividescN18_in_g(x1)
U166_g(x1, x2) = U166_g(x1, x2)
U167_g(x1, x2) = U167_g(x1, x2)
U168_g(x1, x2) = U168_g(x1, x2)
not_dividescN18_out_g(x1) = not_dividescN18_out_g(x1)
divcN20_in_gga(x1, x2, x3) = divcN20_in_gga(x1, x2)
divcN20_out_gga(x1, x2, x3) = divcN20_out_gga(x1, x2, x3)
U177_gga(x1, x2, x3, x4) = U177_gga(x1, x2, x4)
quotcZ_in_gga(x1, x2, x3) = quotcZ_in_gga(x1, x2)
quotcZ_out_gga(x1, x2, x3) = quotcZ_out_gga(x1, x2, x3)
U122_gga(x1, x2, x3, x4) = U122_gga(x1, x2, x4)
quotcY_in_ggga(x1, x2, x3, x4) = quotcY_in_ggga(x1, x2, x3)
quotcY_out_ggga(x1, x2, x3, x4) = quotcY_out_ggga(x1, x2, x3, x4)
U119_ggga(x1, x2, x3, x4, x5) = U119_ggga(x1, x2, x3, x5)
U120_ggga(x1, x2, x3, x4) = U120_ggga(x1, x2, x4)
U123_gga(x1, x2, x3) = U123_gga(x1, x3)
quotcN2_in_ga(x1, x2) = quotcN2_in_ga(x1)
quotcN2_out_ga(x1, x2) = quotcN2_out_ga(x1, x2)
U130_ga(x1, x2, x3) = U130_ga(x1, x3)
U124_gga(x1, x2, x3) = U124_gga(x1, x3)
quotcN3_in_ga(x1, x2) = quotcN3_in_ga(x1)
quotcN3_out_ga(x1, x2) = quotcN3_out_ga(x1, x2)
U131_ga(x1, x2, x3) = U131_ga(x1, x3)
U125_gga(x1, x2, x3) = U125_gga(x1, x3)
quotcN4_in_ga(x1, x2) = quotcN4_in_ga(x1)
quotcN4_out_ga(x1, x2) = quotcN4_out_ga(x1, x2)
U132_ga(x1, x2, x3) = U132_ga(x1, x3)
U126_gga(x1, x2, x3) = U126_gga(x1, x3)
quotcN5_in_ga(x1, x2) = quotcN5_in_ga(x1)
quotcN5_out_ga(x1, x2) = quotcN5_out_ga(x1, x2)
U133_ga(x1, x2, x3) = U133_ga(x1, x3)
U127_gga(x1, x2, x3) = U127_gga(x1, x3)
quotcN6_in_ga(x1, x2) = quotcN6_in_ga(x1)
quotcN6_out_ga(x1, x2) = quotcN6_out_ga(x1, x2)
U134_ga(x1, x2, x3) = U134_ga(x1, x3)
U128_gga(x1, x2, x3) = U128_gga(x1, x3)
quotcN7_in_ga(x1, x2) = quotcN7_in_ga(x1)
quotcN7_out_ga(x1, x2) = quotcN7_out_ga(x1, x2)
U135_ga(x1, x2, x3) = U135_ga(x1, x3)
U121_ggga(x1, x2, x3) = U121_ggga(x1, x3)
quotcN1_in_ga(x1, x2) = quotcN1_in_ga(x1)
quotcN1_out_ga(x1, x2) = quotcN1_out_ga(x1, x2)
U129_ga(x1, x2, x3) = U129_ga(x1, x3)
not_dividescN9_in_gg(x1, x2) = not_dividescN9_in_gg(x1, x2)
U174_gg(x1, x2, x3) = U174_gg(x1, x2, x3)
U175_gg(x1, x2, x3) = U175_gg(x1, x2, x3)
U176_gg(x1, x2, x3) = U176_gg(x1, x2, x3)
not_dividescN9_out_gg(x1, x2) = not_dividescN9_out_gg(x1, x2)
QUOTA_IN_GGA(x1, x2, x3) = QUOTA_IN_GGA(x1, x2)

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

(122) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(123) Obligation:

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

QUOTA_IN_GGA(s(X1), X2, X3) → QUOTA_IN_GGA(X1, X2, X3)

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

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

(124) PiDPToQDPProof (SOUND transformation)

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

(125) Obligation:

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

QUOTA_IN_GGA(s(X1), X2) → QUOTA_IN_GGA(X1, X2)

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

(126) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

QUOTA_IN_GGA(s(X1), X2) → QUOTA_IN_GGA(X1, X2)
The graph contains the following edges 1 > 1, 2 >= 2