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

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

0 Prolog

↳1 PrologToPiTRSViaGraphTransformerProof (⇒, 5203 ms)

↳2 PiTRS

↳3 DependencyPairsProof (⇔, 1488 ms)

↳4 PiDP

↳5 DependencyGraphProof (⇔, 135 ms)

↳6 AND

    ↳7 PiDP

        ↳8 UsableRulesProof (⇔, 0 ms)

        ↳9 PiDP

        ↳10 PiDPToQDPProof (⇔, 28 ms)

        ↳11 QDP

        ↳12 QDPSizeChangeProof (⇔, 0 ms)

        ↳13 YES

    ↳14 PiDP

        ↳15 UsableRulesProof (⇔, 0 ms)

        ↳16 PiDP

        ↳17 PiDPToQDPProof (⇒, 0 ms)

        ↳18 QDP

        ↳19 QDPSizeChangeProof (⇔, 0 ms)

        ↳20 YES

    ↳21 PiDP

        ↳22 UsableRulesProof (⇔, 0 ms)

        ↳23 PiDP

        ↳24 PiDPToQDPProof (⇔, 0 ms)

        ↳25 QDP

        ↳26 QDPSizeChangeProof (⇔, 0 ms)

        ↳27 YES

    ↳28 PiDP

        ↳29 UsableRulesProof (⇔, 0 ms)

        ↳30 PiDP

        ↳31 PiDPToQDPProof (⇒, 0 ms)

        ↳32 QDP

        ↳33 QDPSizeChangeProof (⇔, 0 ms)

        ↳34 YES

    ↳35 PiDP

        ↳36 UsableRulesProof (⇔, 0 ms)

        ↳37 PiDP

        ↳38 PiDPToQDPProof (⇔, 0 ms)

        ↳39 QDP

        ↳40 QDPSizeChangeProof (⇔, 0 ms)

        ↳41 YES

    ↳42 PiDP

        ↳43 UsableRulesProof (⇔, 0 ms)

        ↳44 PiDP

        ↳45 PiDPToQDPProof (⇒, 0 ms)

        ↳46 QDP

        ↳47 QDPSizeChangeProof (⇔, 0 ms)

        ↳48 YES

    ↳49 PiDP

        ↳50 UsableRulesProof (⇔, 0 ms)

        ↳51 PiDP

        ↳52 PiDPToQDPProof (⇔, 0 ms)

        ↳53 QDP

        ↳54 QDPSizeChangeProof (⇔, 0 ms)

        ↳55 YES

    ↳56 PiDP

        ↳57 UsableRulesProof (⇔, 0 ms)

        ↳58 PiDP

        ↳59 PiDPToQDPProof (⇒, 0 ms)

        ↳60 QDP

        ↳61 QDPSizeChangeProof (⇔, 0 ms)

        ↳62 YES

    ↳63 PiDP

        ↳64 UsableRulesProof (⇔, 0 ms)

        ↳65 PiDP

        ↳66 PiDPToQDPProof (⇔, 0 ms)

        ↳67 QDP

        ↳68 QDPSizeChangeProof (⇔, 0 ms)

        ↳69 YES

    ↳70 PiDP

        ↳71 UsableRulesProof (⇔, 0 ms)

        ↳72 PiDP

        ↳73 PiDPToQDPProof (⇒, 0 ms)

        ↳74 QDP

        ↳75 QDPSizeChangeProof (⇔, 0 ms)

        ↳76 YES

    ↳77 PiDP

        ↳78 UsableRulesProof (⇔, 0 ms)

        ↳79 PiDP

        ↳80 PiDPToQDPProof (⇔, 0 ms)

        ↳81 QDP

        ↳82 QDPSizeChangeProof (⇔, 0 ms)

        ↳83 YES

    ↳84 PiDP

        ↳85 UsableRulesProof (⇔, 0 ms)

        ↳86 PiDP

        ↳87 PiDPToQDPProof (⇒, 0 ms)

        ↳88 QDP

        ↳89 QDPSizeChangeProof (⇔, 0 ms)

        ↳90 YES

    ↳91 PiDP

        ↳92 UsableRulesProof (⇔, 0 ms)

        ↳93 PiDP

        ↳94 PiDPToQDPProof (⇔, 0 ms)

        ↳95 QDP

        ↳96 QDPSizeChangeProof (⇔, 0 ms)

        ↳97 YES

    ↳98 PiDP

        ↳99 UsableRulesProof (⇔, 3 ms)

        ↳100 PiDP

        ↳101 PiDPToQDPProof (⇔, 0 ms)

        ↳102 QDP

        ↳103 QDPSizeChangeProof (⇔, 0 ms)

        ↳104 YES

    ↳105 PiDP

        ↳106 UsableRulesProof (⇔, 0 ms)

        ↳107 PiDP

        ↳108 PiDPToQDPProof (⇒, 0 ms)

        ↳109 QDP

        ↳110 QDPSizeChangeProof (⇔, 0 ms)

        ↳111 YES

    ↳112 PiDP

        ↳113 UsableRulesProof (⇔, 0 ms)

        ↳114 PiDP

        ↳115 PiDPToQDPProof (⇒, 0 ms)

        ↳116 QDP

        ↳117 QDPSizeChangeProof (⇔, 0 ms)

        ↳118 YES

(0) Obligation:

Clauses:

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

Query: div(g,g,a)

(1) PrologToPiTRSViaGraphTransformerProof (SOUND transformation)

Transformed Prolog program to (Pi-)TRS.

digraph dp_graph {
node [outthreshold=100, inthreshold=100];
3 [label="A: div(T1, T2, T3)\n\nT1 is ground\nT2 is ground", fontsize=16, style=filled, fillcolor=lightyellow, color=red];
6 [label="6: div(T1, T2, T3), SCOPE: 1, CLAUSE: 0\n\nT1 is ground\nT2 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
10 [label="B: quot(T7, T8, T8, T10)\n\nT7 is ground\nT8 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
11 [label="11: quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 1 | quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 2 | quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 3\n\nT7 is ground\nT8 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
12 [label="12: ','(!_2, eq(T17, 0)) | quot(0, s(T15), s(T15), T10), SCOPE: 2, CLAUSE: 2 | quot(0, s(T15), s(T15), T10), SCOPE: 2, CLAUSE: 3\n\nT15 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
13 [label="13: quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 2 | quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 3\n\nT7 is ground\nT8 is ground\nX14 is free\nX15 is free\nX16 is free\nquot(T7, T8, T8, T10) !=? quot(0, s(X14), s(X15), X16)", fontsize=16, style=filled, fillcolor=lightyellow];
17 [label="17: eq(T17, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
20 [label="20: eq(T17, 0), SCOPE: 3, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
24 [label="24: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
25 [label="25: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
26 [label="26: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
34 [label="34: quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 2\n\nT7 is ground\nT8 is ground\nX14 is free\nX15 is free\nX16 is free\nquot(T7, T8, T8, T10) !=? quot(0, s(X14), s(X15), X16)", fontsize=16, style=filled, fillcolor=lightyellow];
36 [label="36: quot(T7, T8, T8, T10), SCOPE: 2, CLAUSE: 3\n\nT7 is ground\nT8 is ground\nX14 is free\nX15 is free\nX16 is free\nquot(T7, T8, T8, T10) !=? quot(0, s(X14), s(X15), X16)", fontsize=16, style=filled, fillcolor=lightyellow];
40 [label="40: ','(!_2, ','(eq(0, s(X39)), ','(p(T31, X40), quot(T29, 0, 0, X40))))\n\nT29 is ground\nX39 is free\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
42 [label="42: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
43 [label="43: ','(eq(0, s(X39)), ','(p(T31, X40), quot(T29, 0, 0, X40)))\n\nT29 is ground\nX39 is free\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
47 [label="47: ','(eq(0, s(X39)), ','(p(T31, X40), quot(T29, 0, 0, X40))), SCOPE: 4, CLAUSE: 6\n\nT29 is ground\nX39 is free\nX40 is free", fontsize=16, style=filled, fillcolor=lightyellow];
49 [label="49: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
55 [label="55: ','(p(T39, X58), quot(T38, X58, T39, T41))\n\nT38 is ground\nT39 is ground\nX58 is free", fontsize=16, style=filled, fillcolor=lightyellow];
56 [label="56: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
61 [label="61: ','(p(T39, X58), quot(T38, X58, T39, T41)), SCOPE: 5, CLAUSE: 4 | ','(p(T39, X58), quot(T38, X58, T39, T41)), SCOPE: 5, CLAUSE: 5\n\nT38 is ground\nT39 is ground\nX58 is free", fontsize=16, style=filled, fillcolor=lightyellow];
62 [label="62: ','(p(T39, X58), quot(T38, X58, T39, T41)), SCOPE: 5, CLAUSE: 4\n\nT38 is ground\nT39 is ground\nX58 is free", fontsize=16, style=filled, fillcolor=lightyellow];
63 [label="63: ','(p(T39, X58), quot(T38, X58, T39, T41)), SCOPE: 5, CLAUSE: 5\n\nT38 is ground\nT39 is ground\nX58 is free", fontsize=16, style=filled, fillcolor=lightyellow];
64 [label="64: quot(T38, 0, 0, T41)\n\nT38 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
65 [label="65: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
71 [label="71: quot(T38, 0, 0, T41), SCOPE: 6, CLAUSE: 1 | quot(T38, 0, 0, T41), SCOPE: 6, CLAUSE: 2 | quot(T38, 0, 0, T41), SCOPE: 6, CLAUSE: 3\n\nT38 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
77 [label="77: quot(T38, 0, 0, T41), SCOPE: 6, CLAUSE: 2 | quot(T38, 0, 0, T41), SCOPE: 6, CLAUSE: 3\n\nT38 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
82 [label="82: ','(!_6, ','(eq(0, s(X80)), ','(p(T51, X81), quot(T49, 0, 0, X81)))) | quot(T49, 0, 0, T41), SCOPE: 6, CLAUSE: 3\n\nT49 is ground\nX80 is free\nX81 is free", fontsize=16, style=filled, fillcolor=lightyellow];
83 [label="83: ','(eq(0, s(X80)), ','(p(T51, X81), quot(T49, 0, 0, X81)))\n\nT49 is ground\nX80 is free\nX81 is free", fontsize=16, style=filled, fillcolor=lightyellow];
84 [label="84: ','(eq(0, s(X80)), ','(p(T51, X81), quot(T49, 0, 0, X81))), SCOPE: 7, CLAUSE: 6\n\nT49 is ground\nX80 is free\nX81 is free", fontsize=16, style=filled, fillcolor=lightyellow];
86 [label="86: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
91 [label="91: quot(T38, T54, s(T54), T41)\n\nT38 is ground\nT54 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
92 [label="92: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
99 [label="99: quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 1 | quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 2 | quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 3\n\nT38 is ground\nT54 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
103 [label="103: ','(!_8, eq(T63, 0)) | quot(0, s(T61), s(s(T61)), T41), SCOPE: 8, CLAUSE: 2 | quot(0, s(T61), s(s(T61)), T41), SCOPE: 8, CLAUSE: 3\n\nT61 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
126 [label="126: quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 2 | quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 3\n\nT38 is ground\nT54 is ground\nX98 is free\nX99 is free\nX100 is free\nquot(T38, T54, s(T54), T41) !=? quot(0, s(X98), s(X99), X100)", fontsize=16, style=filled, fillcolor=lightyellow];
128 [label="128: eq(T63, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
129 [label="129: eq(T63, 0), SCOPE: 9, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
132 [label="132: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
134 [label="134: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
135 [label="135: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
140 [label="140: quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 2\n\nT38 is ground\nT54 is ground\nX98 is free\nX99 is free\nX100 is free\nquot(T38, T54, s(T54), T41) !=? quot(0, s(X98), s(X99), X100)", fontsize=16, style=filled, fillcolor=lightyellow];
143 [label="143: quot(T38, T54, s(T54), T41), SCOPE: 8, CLAUSE: 3\n\nT38 is ground\nT54 is ground\nX98 is free\nX99 is free\nX100 is free\nquot(T38, T54, s(T54), T41) !=? quot(0, s(X98), s(X99), X100)", fontsize=16, style=filled, fillcolor=lightyellow];
169 [label="169: ','(!_8, ','(eq(s(0), s(X123)), ','(p(T77, X124), quot(T75, s(0), s(0), X124))))\n\nT75 is ground\nX123 is free\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
170 [label="170: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
173 [label="173: ','(eq(s(0), s(X123)), ','(p(T77, X124), quot(T75, s(0), s(0), X124)))\n\nT75 is ground\nX123 is free\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
176 [label="176: ','(eq(s(0), s(X123)), ','(p(T77, X124), quot(T75, s(0), s(0), X124))), SCOPE: 10, CLAUSE: 6\n\nT75 is ground\nX123 is free\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
179 [label="179: ','(p(T77, X124), quot(T75, s(0), s(0), X124))\n\nT75 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
182 [label="182: ','(p(T77, X124), quot(T75, s(0), s(0), X124)), SCOPE: 11, CLAUSE: 4 | ','(p(T77, X124), quot(T75, s(0), s(0), X124)), SCOPE: 11, CLAUSE: 5\n\nT75 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
184 [label="184: ','(p(T77, X124), quot(T75, s(0), s(0), X124)), SCOPE: 11, CLAUSE: 4\n\nT75 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
185 [label="185: ','(p(T77, X124), quot(T75, s(0), s(0), X124)), SCOPE: 11, CLAUSE: 5\n\nT75 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
193 [label="C: quot(T75, s(0), s(0), 0)\n\nT75 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
194 [label="194: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
198 [label="198: quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 1 | quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 2 | quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 3\n\nT75 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
203 [label="203: ','(!_12, eq(0, 0)) | quot(0, s(0), s(0), 0), SCOPE: 12, CLAUSE: 2 | quot(0, s(0), s(0), 0), SCOPE: 12, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
207 [label="207: quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 2 | quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 3\n\nT75 is ground\nX149 is free\nX150 is free\nX151 is free\nquot(T75, s(0), s(0), 0) !=? quot(0, s(X149), s(X150), X151)", fontsize=16, style=filled, fillcolor=lightyellow];
208 [label="208: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
209 [label="209: eq(0, 0), SCOPE: 13, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
211 [label="211: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
212 [label="212: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
213 [label="213: quot(T75, s(0), s(0), 0), SCOPE: 12, CLAUSE: 3\n\nT75 is ground\nX149 is free\nX150 is free\nX151 is free\nquot(T75, s(0), s(0), 0) !=? quot(0, s(X149), s(X150), X151)", fontsize=16, style=filled, fillcolor=lightyellow];
234 [label="234: ','(p(s(0), X171), quot(T81, X171, s(0), 0))\n\nT81 is ground\nX171 is free", fontsize=16, style=filled, fillcolor=lightyellow];
237 [label="237: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
239 [label="239: ','(p(s(0), X171), quot(T81, X171, s(0), 0)), SCOPE: 14, CLAUSE: 4 | ','(p(s(0), X171), quot(T81, X171, s(0), 0)), SCOPE: 14, CLAUSE: 5\n\nT81 is ground\nX171 is free", fontsize=16, style=filled, fillcolor=lightyellow];
240 [label="240: ','(p(s(0), X171), quot(T81, X171, s(0), 0)), SCOPE: 14, CLAUSE: 5\n\nT81 is ground\nX171 is free", fontsize=16, style=filled, fillcolor=lightyellow];
252 [label="D: quot(T81, 0, s(0), 0)\n\nT81 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
254 [label="254: quot(T81, 0, s(0), 0), SCOPE: 15, CLAUSE: 1 | quot(T81, 0, s(0), 0), SCOPE: 15, CLAUSE: 2 | quot(T81, 0, s(0), 0), SCOPE: 15, CLAUSE: 3\n\nT81 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
255 [label="255: quot(T81, 0, s(0), 0), SCOPE: 15, CLAUSE: 2 | quot(T81, 0, s(0), 0), SCOPE: 15, CLAUSE: 3\n\nT81 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
258 [label="258: ','(!_15, ','(eq(s(0), s(X199)), ','(p(0, X200), quot(T84, s(0), s(0), X200)))) | quot(T84, 0, s(0), 0), SCOPE: 15, CLAUSE: 3\n\nT84 is ground\nX199 is free\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
259 [label="259: ','(eq(s(0), s(X199)), ','(p(0, X200), quot(T84, s(0), s(0), X200)))\n\nT84 is ground\nX199 is free\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
261 [label="261: ','(eq(s(0), s(X199)), ','(p(0, X200), quot(T84, s(0), s(0), X200))), SCOPE: 16, CLAUSE: 6\n\nT84 is ground\nX199 is free\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
263 [label="263: ','(p(0, X200), quot(T84, s(0), s(0), X200))\n\nT84 is ground\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
271 [label="271: ','(p(0, X200), quot(T84, s(0), s(0), X200)), SCOPE: 17, CLAUSE: 4 | ','(p(0, X200), quot(T84, s(0), s(0), X200)), SCOPE: 17, CLAUSE: 5\n\nT84 is ground\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
273 [label="273: ','(p(0, X200), quot(T84, s(0), s(0), X200)), SCOPE: 17, CLAUSE: 4\n\nT84 is ground\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
274 [label="274: ','(p(0, X200), quot(T84, s(0), s(0), X200)), SCOPE: 17, CLAUSE: 5\n\nT84 is ground\nX200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
275 [label="275: quot(T84, s(0), s(0), 0)\n\nT84 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
277 [label="277: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
279 [label="E: quot(T75, s(0), s(0), T88)\n\nT75 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
280 [label="280: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
284 [label="284: quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 1 | quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 2 | quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 3\n\nT75 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
286 [label="286: ','(!_18, eq(T93, 0)) | quot(0, s(0), s(0), T88), SCOPE: 18, CLAUSE: 2 | quot(0, s(0), s(0), T88), SCOPE: 18, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
287 [label="287: quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 2 | quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 3\n\nT75 is ground\nX238 is free\nX239 is free\nX240 is free\nquot(T75, s(0), s(0), T88) !=? quot(0, s(X238), s(X239), X240)", fontsize=16, style=filled, fillcolor=lightyellow];
288 [label="288: eq(T93, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
289 [label="289: eq(T93, 0), SCOPE: 19, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
294 [label="294: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
296 [label="296: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
297 [label="297: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
298 [label="298: quot(T75, s(0), s(0), T88), SCOPE: 18, CLAUSE: 3\n\nT75 is ground\nX238 is free\nX239 is free\nX240 is free\nquot(T75, s(0), s(0), T88) !=? quot(0, s(X238), s(X239), X240)", fontsize=16, style=filled, fillcolor=lightyellow];
301 [label="301: ','(p(s(0), X260), quot(T102, X260, s(0), T104))\n\nT102 is ground\nX260 is free", fontsize=16, style=filled, fillcolor=lightyellow];
302 [label="302: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
303 [label="303: ','(p(s(0), X260), quot(T102, X260, s(0), T104)), SCOPE: 20, CLAUSE: 4 | ','(p(s(0), X260), quot(T102, X260, s(0), T104)), SCOPE: 20, CLAUSE: 5\n\nT102 is ground\nX260 is free", fontsize=16, style=filled, fillcolor=lightyellow];
305 [label="305: ','(p(s(0), X260), quot(T102, X260, s(0), T104)), SCOPE: 20, CLAUSE: 5\n\nT102 is ground\nX260 is free", fontsize=16, style=filled, fillcolor=lightyellow];
307 [label="F: quot(T102, 0, s(0), T104)\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
313 [label="313: quot(T102, 0, s(0), T104), SCOPE: 21, CLAUSE: 1 | quot(T102, 0, s(0), T104), SCOPE: 21, CLAUSE: 2 | quot(T102, 0, s(0), T104), SCOPE: 21, CLAUSE: 3\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
314 [label="314: quot(T102, 0, s(0), T104), SCOPE: 21, CLAUSE: 2 | quot(T102, 0, s(0), T104), SCOPE: 21, CLAUSE: 3\n\nT102 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
322 [label="322: ','(!_21, ','(eq(s(0), s(X288)), ','(p(T113, X289), quot(T111, s(0), s(0), X289)))) | quot(T111, 0, s(0), T104), SCOPE: 21, CLAUSE: 3\n\nT111 is ground\nX288 is free\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
323 [label="323: ','(eq(s(0), s(X288)), ','(p(T113, X289), quot(T111, s(0), s(0), X289)))\n\nT111 is ground\nX288 is free\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
324 [label="324: ','(eq(s(0), s(X288)), ','(p(T113, X289), quot(T111, s(0), s(0), X289))), SCOPE: 22, CLAUSE: 6\n\nT111 is ground\nX288 is free\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
325 [label="325: ','(p(T113, X289), quot(T111, s(0), s(0), X289))\n\nT111 is ground\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
328 [label="328: ','(p(T113, X289), quot(T111, s(0), s(0), X289)), SCOPE: 23, CLAUSE: 4 | ','(p(T113, X289), quot(T111, s(0), s(0), X289)), SCOPE: 23, CLAUSE: 5\n\nT111 is ground\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
329 [label="329: ','(p(T113, X289), quot(T111, s(0), s(0), X289)), SCOPE: 23, CLAUSE: 4\n\nT111 is ground\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
330 [label="330: ','(p(T113, X289), quot(T111, s(0), s(0), X289)), SCOPE: 23, CLAUSE: 5\n\nT111 is ground\nX289 is free", fontsize=16, style=filled, fillcolor=lightyellow];
331 [label="331: quot(T111, s(0), s(0), 0)\n\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
332 [label="332: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
336 [label="336: quot(T111, s(0), s(0), T117)\n\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
337 [label="337: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
346 [label="346: ','(p(T126, X327), quot(T125, X327, s(T126), T128))\n\nT125 is ground\nT126 is ground\nX327 is free", fontsize=16, style=filled, fillcolor=lightyellow];
348 [label="348: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
350 [label="350: ','(p(T126, X327), quot(T125, X327, s(T126), T128)), SCOPE: 24, CLAUSE: 4 | ','(p(T126, X327), quot(T125, X327, s(T126), T128)), SCOPE: 24, CLAUSE: 5\n\nT125 is ground\nT126 is ground\nX327 is free", fontsize=16, style=filled, fillcolor=lightyellow];
351 [label="351: ','(p(T126, X327), quot(T125, X327, s(T126), T128)), SCOPE: 24, CLAUSE: 4\n\nT125 is ground\nT126 is ground\nX327 is free", fontsize=16, style=filled, fillcolor=lightyellow];
352 [label="352: ','(p(T126, X327), quot(T125, X327, s(T126), T128)), SCOPE: 24, CLAUSE: 5\n\nT125 is ground\nT126 is ground\nX327 is free", fontsize=16, style=filled, fillcolor=lightyellow];
353 [label="353: quot(T125, 0, s(0), T128)\n\nT125 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
354 [label="354: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
358 [label="358: quot(T125, T133, s(s(T133)), T128)\n\nT125 is ground\nT133 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
359 [label="359: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
371 [label="371: quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 1 | quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 2 | quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 3\n\nT125 is ground\nT133 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
373 [label="373: ','(!_25, eq(T142, 0)) | quot(0, s(T140), s(s(s(T140))), T128), SCOPE: 25, CLAUSE: 2 | quot(0, s(T140), s(s(s(T140))), T128), SCOPE: 25, CLAUSE: 3\n\nT140 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
375 [label="375: quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 2 | quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 3\n\nT125 is ground\nT133 is ground\nX347 is free\nX348 is free\nX349 is free\nquot(T125, T133, s(s(T133)), T128) !=? quot(0, s(X347), s(X348), X349)", fontsize=16, style=filled, fillcolor=lightyellow];
377 [label="377: eq(T142, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
379 [label="379: eq(T142, 0), SCOPE: 26, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
381 [label="381: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
382 [label="382: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
383 [label="383: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
391 [label="391: quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 2\n\nT125 is ground\nT133 is ground\nX347 is free\nX348 is free\nX349 is free\nquot(T125, T133, s(s(T133)), T128) !=? quot(0, s(X347), s(X348), X349)", fontsize=16, style=filled, fillcolor=lightyellow];
393 [label="393: quot(T125, T133, s(s(T133)), T128), SCOPE: 25, CLAUSE: 3\n\nT125 is ground\nT133 is ground\nX347 is free\nX348 is free\nX349 is free\nquot(T125, T133, s(s(T133)), T128) !=? quot(0, s(X347), s(X348), X349)", fontsize=16, style=filled, fillcolor=lightyellow];
397 [label="397: ','(!_25, ','(eq(s(s(0)), s(X372)), ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373))))\n\nT154 is ground\nX372 is free\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
399 [label="399: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
401 [label="401: ','(eq(s(s(0)), s(X372)), ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373)))\n\nT154 is ground\nX372 is free\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
402 [label="402: ','(eq(s(s(0)), s(X372)), ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373))), SCOPE: 27, CLAUSE: 6\n\nT154 is ground\nX372 is free\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
405 [label="405: ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373))\n\nT154 is ground\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
407 [label="407: ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373)), SCOPE: 28, CLAUSE: 4 | ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373)), SCOPE: 28, CLAUSE: 5\n\nT154 is ground\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
424 [label="424: ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373)), SCOPE: 28, CLAUSE: 4\n\nT154 is ground\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
425 [label="425: ','(p(T156, X373), quot(T154, s(s(0)), s(s(0)), X373)), SCOPE: 28, CLAUSE: 5\n\nT154 is ground\nX373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
426 [label="G: quot(T154, s(s(0)), s(s(0)), 0)\n\nT154 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
427 [label="427: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
429 [label="429: quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 1 | quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 2 | quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 3\n\nT154 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
433 [label="433: ','(!_29, eq(0, 0)) | quot(0, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 2 | quot(0, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
434 [label="434: quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 2 | quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 3\n\nT154 is ground\nX398 is free\nX399 is free\nX400 is free\nquot(T154, s(s(0)), s(s(0)), 0) !=? quot(0, s(X398), s(X399), X400)", fontsize=16, style=filled, fillcolor=lightyellow];
435 [label="435: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
437 [label="437: eq(0, 0), SCOPE: 30, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
438 [label="438: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
439 [label="439: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
440 [label="440: quot(T154, s(s(0)), s(s(0)), 0), SCOPE: 29, CLAUSE: 3\n\nT154 is ground\nX398 is free\nX399 is free\nX400 is free\nquot(T154, s(s(0)), s(s(0)), 0) !=? quot(0, s(X398), s(X399), X400)", fontsize=16, style=filled, fillcolor=lightyellow];
463 [label="463: ','(p(s(s(0)), X420), quot(T160, X420, s(s(0)), 0))\n\nT160 is ground\nX420 is free", fontsize=16, style=filled, fillcolor=lightyellow];
464 [label="464: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
465 [label="465: ','(p(s(s(0)), X420), quot(T160, X420, s(s(0)), 0)), SCOPE: 31, CLAUSE: 4 | ','(p(s(s(0)), X420), quot(T160, X420, s(s(0)), 0)), SCOPE: 31, CLAUSE: 5\n\nT160 is ground\nX420 is free", fontsize=16, style=filled, fillcolor=lightyellow];
466 [label="466: ','(p(s(s(0)), X420), quot(T160, X420, s(s(0)), 0)), SCOPE: 31, CLAUSE: 5\n\nT160 is ground\nX420 is free", fontsize=16, style=filled, fillcolor=lightyellow];
468 [label="468: quot(T160, s(0), s(s(0)), 0)\n\nT160 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
473 [label="473: quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 1 | quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 2 | quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 3\n\nT160 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
474 [label="474: ','(!_32, eq(0, 0)) | quot(0, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 2 | quot(0, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
476 [label="476: quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 2 | quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 3\n\nT160 is ground\nX440 is free\nX441 is free\nX442 is free\nquot(T160, s(0), s(s(0)), 0) !=? quot(0, s(X440), s(X441), X442)", fontsize=16, style=filled, fillcolor=lightyellow];
477 [label="477: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
478 [label="478: eq(0, 0), SCOPE: 33, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
482 [label="482: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
483 [label="483: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
487 [label="487: quot(T160, s(0), s(s(0)), 0), SCOPE: 32, CLAUSE: 3\n\nT160 is ground\nX440 is free\nX441 is free\nX442 is free\nquot(T160, s(0), s(s(0)), 0) !=? quot(0, s(X440), s(X441), X442)", fontsize=16, style=filled, fillcolor=lightyellow];
495 [label="495: ','(p(s(0), X462), quot(T164, X462, s(s(0)), 0))\n\nT164 is ground\nX462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
497 [label="497: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
498 [label="498: ','(p(s(0), X462), quot(T164, X462, s(s(0)), 0)), SCOPE: 34, CLAUSE: 4 | ','(p(s(0), X462), quot(T164, X462, s(s(0)), 0)), SCOPE: 34, CLAUSE: 5\n\nT164 is ground\nX462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
499 [label="499: ','(p(s(0), X462), quot(T164, X462, s(s(0)), 0)), SCOPE: 34, CLAUSE: 5\n\nT164 is ground\nX462 is free", fontsize=16, style=filled, fillcolor=lightyellow];
501 [label="H: quot(T164, 0, s(s(0)), 0)\n\nT164 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
512 [label="512: quot(T164, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 1 | quot(T164, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 2 | quot(T164, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 3\n\nT164 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
515 [label="515: quot(T164, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 2 | quot(T164, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 3\n\nT164 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
531 [label="531: ','(!_35, ','(eq(s(s(0)), s(X490)), ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)))) | quot(T167, 0, s(s(0)), 0), SCOPE: 35, CLAUSE: 3\n\nT167 is ground\nX490 is free\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
532 [label="532: ','(eq(s(s(0)), s(X490)), ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)))\n\nT167 is ground\nX490 is free\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
534 [label="534: ','(eq(s(s(0)), s(X490)), ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491))), SCOPE: 36, CLAUSE: 6\n\nT167 is ground\nX490 is free\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
538 [label="538: ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491))\n\nT167 is ground\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
539 [label="539: ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)), SCOPE: 37, CLAUSE: 4 | ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)), SCOPE: 37, CLAUSE: 5\n\nT167 is ground\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
541 [label="541: ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)), SCOPE: 37, CLAUSE: 4\n\nT167 is ground\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
542 [label="542: ','(p(0, X491), quot(T167, s(s(0)), s(s(0)), X491)), SCOPE: 37, CLAUSE: 5\n\nT167 is ground\nX491 is free", fontsize=16, style=filled, fillcolor=lightyellow];
543 [label="543: quot(T167, s(s(0)), s(s(0)), 0)\n\nT167 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
568 [label="568: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
569 [label="I: quot(T154, s(s(0)), s(s(0)), T171)\n\nT154 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
570 [label="570: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
573 [label="573: quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 1 | quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 2 | quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 3\n\nT154 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
586 [label="586: ','(!_38, eq(T176, 0)) | quot(0, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 2 | quot(0, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
587 [label="587: quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 2 | quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 3\n\nT154 is ground\nX529 is free\nX530 is free\nX531 is free\nquot(T154, s(s(0)), s(s(0)), T171) !=? quot(0, s(X529), s(X530), X531)", fontsize=16, style=filled, fillcolor=lightyellow];
588 [label="588: eq(T176, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
589 [label="589: eq(T176, 0), SCOPE: 39, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
590 [label="590: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
591 [label="591: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
592 [label="592: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
595 [label="595: quot(T154, s(s(0)), s(s(0)), T171), SCOPE: 38, CLAUSE: 3\n\nT154 is ground\nX529 is free\nX530 is free\nX531 is free\nquot(T154, s(s(0)), s(s(0)), T171) !=? quot(0, s(X529), s(X530), X531)", fontsize=16, style=filled, fillcolor=lightyellow];
598 [label="598: ','(p(s(s(0)), X551), quot(T185, X551, s(s(0)), T187))\n\nT185 is ground\nX551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
600 [label="600: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
604 [label="604: ','(p(s(s(0)), X551), quot(T185, X551, s(s(0)), T187)), SCOPE: 40, CLAUSE: 4 | ','(p(s(s(0)), X551), quot(T185, X551, s(s(0)), T187)), SCOPE: 40, CLAUSE: 5\n\nT185 is ground\nX551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
605 [label="605: ','(p(s(s(0)), X551), quot(T185, X551, s(s(0)), T187)), SCOPE: 40, CLAUSE: 5\n\nT185 is ground\nX551 is free", fontsize=16, style=filled, fillcolor=lightyellow];
612 [label="612: quot(T185, s(0), s(s(0)), T187)\n\nT185 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
620 [label="620: quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 1 | quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 2 | quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 3\n\nT185 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
630 [label="630: ','(!_41, eq(T194, 0)) | quot(0, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 2 | quot(0, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
632 [label="632: quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 2 | quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 3\n\nT185 is ground\nX571 is free\nX572 is free\nX573 is free\nquot(T185, s(0), s(s(0)), T187) !=? quot(0, s(X571), s(X572), X573)", fontsize=16, style=filled, fillcolor=lightyellow];
633 [label="633: eq(T194, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
634 [label="634: eq(T194, 0), SCOPE: 42, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
638 [label="638: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
640 [label="640: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
641 [label="641: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
645 [label="645: quot(T185, s(0), s(s(0)), T187), SCOPE: 41, CLAUSE: 3\n\nT185 is ground\nX571 is free\nX572 is free\nX573 is free\nquot(T185, s(0), s(s(0)), T187) !=? quot(0, s(X571), s(X572), X573)", fontsize=16, style=filled, fillcolor=lightyellow];
662 [label="662: ','(p(s(0), X593), quot(T203, X593, s(s(0)), T205))\n\nT203 is ground\nX593 is free", fontsize=16, style=filled, fillcolor=lightyellow];
663 [label="663: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
665 [label="665: ','(p(s(0), X593), quot(T203, X593, s(s(0)), T205)), SCOPE: 43, CLAUSE: 4 | ','(p(s(0), X593), quot(T203, X593, s(s(0)), T205)), SCOPE: 43, CLAUSE: 5\n\nT203 is ground\nX593 is free", fontsize=16, style=filled, fillcolor=lightyellow];
666 [label="666: ','(p(s(0), X593), quot(T203, X593, s(s(0)), T205)), SCOPE: 43, CLAUSE: 5\n\nT203 is ground\nX593 is free", fontsize=16, style=filled, fillcolor=lightyellow];
667 [label="J: quot(T203, 0, s(s(0)), T205)\n\nT203 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
672 [label="672: quot(T203, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 1 | quot(T203, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 2 | quot(T203, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 3\n\nT203 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
675 [label="675: quot(T203, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 2 | quot(T203, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 3\n\nT203 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
679 [label="679: ','(!_44, ','(eq(s(s(0)), s(X621)), ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)))) | quot(T212, 0, s(s(0)), T205), SCOPE: 44, CLAUSE: 3\n\nT212 is ground\nX621 is free\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
680 [label="680: ','(eq(s(s(0)), s(X621)), ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)))\n\nT212 is ground\nX621 is free\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
685 [label="685: ','(eq(s(s(0)), s(X621)), ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622))), SCOPE: 45, CLAUSE: 6\n\nT212 is ground\nX621 is free\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
688 [label="688: ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622))\n\nT212 is ground\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
693 [label="693: ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)), SCOPE: 46, CLAUSE: 4 | ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)), SCOPE: 46, CLAUSE: 5\n\nT212 is ground\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
694 [label="694: ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)), SCOPE: 46, CLAUSE: 4\n\nT212 is ground\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
695 [label="695: ','(p(T214, X622), quot(T212, s(s(0)), s(s(0)), X622)), SCOPE: 46, CLAUSE: 5\n\nT212 is ground\nX622 is free", fontsize=16, style=filled, fillcolor=lightyellow];
696 [label="696: quot(T212, s(s(0)), s(s(0)), 0)\n\nT212 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
698 [label="698: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
703 [label="703: quot(T212, s(s(0)), s(s(0)), T218)\n\nT212 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
704 [label="704: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
718 [label="718: ','(p(T227, X660), quot(T226, X660, s(s(T227)), T229))\n\nT226 is ground\nT227 is ground\nX660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
719 [label="719: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
721 [label="721: ','(p(T227, X660), quot(T226, X660, s(s(T227)), T229)), SCOPE: 47, CLAUSE: 4 | ','(p(T227, X660), quot(T226, X660, s(s(T227)), T229)), SCOPE: 47, CLAUSE: 5\n\nT226 is ground\nT227 is ground\nX660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
723 [label="723: ','(p(T227, X660), quot(T226, X660, s(s(T227)), T229)), SCOPE: 47, CLAUSE: 4\n\nT226 is ground\nT227 is ground\nX660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
724 [label="724: ','(p(T227, X660), quot(T226, X660, s(s(T227)), T229)), SCOPE: 47, CLAUSE: 5\n\nT226 is ground\nT227 is ground\nX660 is free", fontsize=16, style=filled, fillcolor=lightyellow];
725 [label="725: quot(T226, 0, s(s(0)), T229)\n\nT226 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
726 [label="726: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
732 [label="732: quot(T226, T234, s(s(s(T234))), T229)\n\nT226 is ground\nT234 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
733 [label="733: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
741 [label="741: quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 1 | quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 2 | quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 3\n\nT226 is ground\nT234 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
748 [label="748: ','(!_48, eq(T243, 0)) | quot(0, s(T241), s(s(s(s(T241)))), T229), SCOPE: 48, CLAUSE: 2 | quot(0, s(T241), s(s(s(s(T241)))), T229), SCOPE: 48, CLAUSE: 3\n\nT241 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
749 [label="749: quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 2 | quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 3\n\nT226 is ground\nT234 is ground\nX680 is free\nX681 is free\nX682 is free\nquot(T226, T234, s(s(s(T234))), T229) !=? quot(0, s(X680), s(X681), X682)", fontsize=16, style=filled, fillcolor=lightyellow];
750 [label="750: eq(T243, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
751 [label="751: eq(T243, 0), SCOPE: 49, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
754 [label="754: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
755 [label="755: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
757 [label="757: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
760 [label="760: quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 2\n\nT226 is ground\nT234 is ground\nX680 is free\nX681 is free\nX682 is free\nquot(T226, T234, s(s(s(T234))), T229) !=? quot(0, s(X680), s(X681), X682)", fontsize=16, style=filled, fillcolor=lightyellow];
762 [label="762: quot(T226, T234, s(s(s(T234))), T229), SCOPE: 48, CLAUSE: 3\n\nT226 is ground\nT234 is ground\nX680 is free\nX681 is free\nX682 is free\nquot(T226, T234, s(s(s(T234))), T229) !=? quot(0, s(X680), s(X681), X682)", fontsize=16, style=filled, fillcolor=lightyellow];
771 [label="771: ','(!_48, ','(eq(s(s(s(0))), s(X705)), ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706))))\n\nT255 is ground\nX705 is free\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
772 [label="772: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
774 [label="774: ','(eq(s(s(s(0))), s(X705)), ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706)))\n\nT255 is ground\nX705 is free\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
775 [label="775: ','(eq(s(s(s(0))), s(X705)), ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706))), SCOPE: 50, CLAUSE: 6\n\nT255 is ground\nX705 is free\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
776 [label="776: ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706))\n\nT255 is ground\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
777 [label="777: ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706)), SCOPE: 51, CLAUSE: 4 | ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706)), SCOPE: 51, CLAUSE: 5\n\nT255 is ground\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
780 [label="780: ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706)), SCOPE: 51, CLAUSE: 4\n\nT255 is ground\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
781 [label="781: ','(p(T257, X706), quot(T255, s(s(s(0))), s(s(s(0))), X706)), SCOPE: 51, CLAUSE: 5\n\nT255 is ground\nX706 is free", fontsize=16, style=filled, fillcolor=lightyellow];
782 [label="K: quot(T255, s(s(s(0))), s(s(s(0))), 0)\n\nT255 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
783 [label="783: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
785 [label="785: quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 1 | quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 2 | quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 3\n\nT255 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
790 [label="790: ','(!_52, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
791 [label="791: quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 2 | quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 3\n\nT255 is ground\nX731 is free\nX732 is free\nX733 is free\nquot(T255, s(s(s(0))), s(s(s(0))), 0) !=? quot(0, s(X731), s(X732), X733)", fontsize=16, style=filled, fillcolor=lightyellow];
792 [label="792: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
793 [label="793: eq(0, 0), SCOPE: 53, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
798 [label="798: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
799 [label="799: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
801 [label="801: quot(T255, s(s(s(0))), s(s(s(0))), 0), SCOPE: 52, CLAUSE: 3\n\nT255 is ground\nX731 is free\nX732 is free\nX733 is free\nquot(T255, s(s(s(0))), s(s(s(0))), 0) !=? quot(0, s(X731), s(X732), X733)", fontsize=16, style=filled, fillcolor=lightyellow];
805 [label="805: ','(p(s(s(s(0))), X753), quot(T261, X753, s(s(s(0))), 0))\n\nT261 is ground\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
806 [label="806: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
809 [label="809: ','(p(s(s(s(0))), X753), quot(T261, X753, s(s(s(0))), 0)), SCOPE: 54, CLAUSE: 4 | ','(p(s(s(s(0))), X753), quot(T261, X753, s(s(s(0))), 0)), SCOPE: 54, CLAUSE: 5\n\nT261 is ground\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
810 [label="810: ','(p(s(s(s(0))), X753), quot(T261, X753, s(s(s(0))), 0)), SCOPE: 54, CLAUSE: 5\n\nT261 is ground\nX753 is free", fontsize=16, style=filled, fillcolor=lightyellow];
811 [label="811: quot(T261, s(s(0)), s(s(s(0))), 0)\n\nT261 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
813 [label="813: quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 1 | quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 2 | quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 3\n\nT261 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
818 [label="818: ','(!_55, eq(0, 0)) | quot(0, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
819 [label="819: quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 2 | quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 3\n\nT261 is ground\nX773 is free\nX774 is free\nX775 is free\nquot(T261, s(s(0)), s(s(s(0))), 0) !=? quot(0, s(X773), s(X774), X775)", fontsize=16, style=filled, fillcolor=lightyellow];
820 [label="820: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
821 [label="821: eq(0, 0), SCOPE: 56, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
825 [label="825: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
826 [label="826: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
828 [label="828: quot(T261, s(s(0)), s(s(s(0))), 0), SCOPE: 55, CLAUSE: 3\n\nT261 is ground\nX773 is free\nX774 is free\nX775 is free\nquot(T261, s(s(0)), s(s(s(0))), 0) !=? quot(0, s(X773), s(X774), X775)", fontsize=16, style=filled, fillcolor=lightyellow];
836 [label="836: ','(p(s(s(0)), X795), quot(T265, X795, s(s(s(0))), 0))\n\nT265 is ground\nX795 is free", fontsize=16, style=filled, fillcolor=lightyellow];
837 [label="837: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
840 [label="840: ','(p(s(s(0)), X795), quot(T265, X795, s(s(s(0))), 0)), SCOPE: 57, CLAUSE: 4 | ','(p(s(s(0)), X795), quot(T265, X795, s(s(s(0))), 0)), SCOPE: 57, CLAUSE: 5\n\nT265 is ground\nX795 is free", fontsize=16, style=filled, fillcolor=lightyellow];
841 [label="841: ','(p(s(s(0)), X795), quot(T265, X795, s(s(s(0))), 0)), SCOPE: 57, CLAUSE: 5\n\nT265 is ground\nX795 is free", fontsize=16, style=filled, fillcolor=lightyellow];
846 [label="846: quot(T265, s(0), s(s(s(0))), 0)\n\nT265 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
850 [label="850: quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 1 | quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 2 | quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 3\n\nT265 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
852 [label="852: ','(!_58, eq(0, 0)) | quot(0, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 2 | quot(0, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
853 [label="853: quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 2 | quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 3\n\nT265 is ground\nX815 is free\nX816 is free\nX817 is free\nquot(T265, s(0), s(s(s(0))), 0) !=? quot(0, s(X815), s(X816), X817)", fontsize=16, style=filled, fillcolor=lightyellow];
854 [label="854: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
855 [label="855: eq(0, 0), SCOPE: 59, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
856 [label="856: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
857 [label="857: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
858 [label="858: quot(T265, s(0), s(s(s(0))), 0), SCOPE: 58, CLAUSE: 3\n\nT265 is ground\nX815 is free\nX816 is free\nX817 is free\nquot(T265, s(0), s(s(s(0))), 0) !=? quot(0, s(X815), s(X816), X817)", fontsize=16, style=filled, fillcolor=lightyellow];
867 [label="867: ','(p(s(0), X837), quot(T269, X837, s(s(s(0))), 0))\n\nT269 is ground\nX837 is free", fontsize=16, style=filled, fillcolor=lightyellow];
868 [label="868: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
870 [label="870: ','(p(s(0), X837), quot(T269, X837, s(s(s(0))), 0)), SCOPE: 60, CLAUSE: 4 | ','(p(s(0), X837), quot(T269, X837, s(s(s(0))), 0)), SCOPE: 60, CLAUSE: 5\n\nT269 is ground\nX837 is free", fontsize=16, style=filled, fillcolor=lightyellow];
871 [label="871: ','(p(s(0), X837), quot(T269, X837, s(s(s(0))), 0)), SCOPE: 60, CLAUSE: 5\n\nT269 is ground\nX837 is free", fontsize=16, style=filled, fillcolor=lightyellow];
873 [label="L: quot(T269, 0, s(s(s(0))), 0)\n\nT269 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
880 [label="880: quot(T269, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 1 | quot(T269, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 2 | quot(T269, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 3\n\nT269 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
883 [label="883: quot(T269, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 2 | quot(T269, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 3\n\nT269 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
887 [label="887: ','(!_61, ','(eq(s(s(s(0))), s(X865)), ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)))) | quot(T272, 0, s(s(s(0))), 0), SCOPE: 61, CLAUSE: 3\n\nT272 is ground\nX865 is free\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
888 [label="888: ','(eq(s(s(s(0))), s(X865)), ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)))\n\nT272 is ground\nX865 is free\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
889 [label="889: ','(eq(s(s(s(0))), s(X865)), ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866))), SCOPE: 62, CLAUSE: 6\n\nT272 is ground\nX865 is free\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
891 [label="891: ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866))\n\nT272 is ground\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
905 [label="905: ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)), SCOPE: 63, CLAUSE: 4 | ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)), SCOPE: 63, CLAUSE: 5\n\nT272 is ground\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
906 [label="906: ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)), SCOPE: 63, CLAUSE: 4\n\nT272 is ground\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
907 [label="907: ','(p(0, X866), quot(T272, s(s(s(0))), s(s(s(0))), X866)), SCOPE: 63, CLAUSE: 5\n\nT272 is ground\nX866 is free", fontsize=16, style=filled, fillcolor=lightyellow];
916 [label="916: quot(T272, s(s(s(0))), s(s(s(0))), 0)\n\nT272 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
918 [label="918: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
920 [label="M: quot(T255, s(s(s(0))), s(s(s(0))), T276)\n\nT255 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
921 [label="921: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
922 [label="922: quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 1 | quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 2 | quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 3\n\nT255 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
939 [label="939: ','(!_64, eq(T281, 0)) | quot(0, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
940 [label="940: quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 2 | quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 3\n\nT255 is ground\nX904 is free\nX905 is free\nX906 is free\nquot(T255, s(s(s(0))), s(s(s(0))), T276) !=? quot(0, s(X904), s(X905), X906)", fontsize=16, style=filled, fillcolor=lightyellow];
941 [label="941: eq(T281, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
942 [label="942: eq(T281, 0), SCOPE: 65, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
943 [label="943: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
944 [label="944: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
945 [label="945: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
946 [label="946: quot(T255, s(s(s(0))), s(s(s(0))), T276), SCOPE: 64, CLAUSE: 3\n\nT255 is ground\nX904 is free\nX905 is free\nX906 is free\nquot(T255, s(s(s(0))), s(s(s(0))), T276) !=? quot(0, s(X904), s(X905), X906)", fontsize=16, style=filled, fillcolor=lightyellow];
947 [label="947: ','(p(s(s(s(0))), X926), quot(T290, X926, s(s(s(0))), T292))\n\nT290 is ground\nX926 is free", fontsize=16, style=filled, fillcolor=lightyellow];
948 [label="948: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
965 [label="965: ','(p(s(s(s(0))), X926), quot(T290, X926, s(s(s(0))), T292)), SCOPE: 66, CLAUSE: 4 | ','(p(s(s(s(0))), X926), quot(T290, X926, s(s(s(0))), T292)), SCOPE: 66, CLAUSE: 5\n\nT290 is ground\nX926 is free", fontsize=16, style=filled, fillcolor=lightyellow];
966 [label="966: ','(p(s(s(s(0))), X926), quot(T290, X926, s(s(s(0))), T292)), SCOPE: 66, CLAUSE: 5\n\nT290 is ground\nX926 is free", fontsize=16, style=filled, fillcolor=lightyellow];
968 [label="968: quot(T290, s(s(0)), s(s(s(0))), T292)\n\nT290 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
969 [label="969: quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 1 | quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 2 | quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 3\n\nT290 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
989 [label="989: ','(!_67, eq(T299, 0)) | quot(0, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
991 [label="991: quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 2 | quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 3\n\nT290 is ground\nX946 is free\nX947 is free\nX948 is free\nquot(T290, s(s(0)), s(s(s(0))), T292) !=? quot(0, s(X946), s(X947), X948)", fontsize=16, style=filled, fillcolor=lightyellow];
992 [label="992: eq(T299, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
993 [label="993: eq(T299, 0), SCOPE: 68, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
995 [label="995: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
996 [label="996: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
997 [label="997: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
998 [label="998: quot(T290, s(s(0)), s(s(s(0))), T292), SCOPE: 67, CLAUSE: 3\n\nT290 is ground\nX946 is free\nX947 is free\nX948 is free\nquot(T290, s(s(0)), s(s(s(0))), T292) !=? quot(0, s(X946), s(X947), X948)", fontsize=16, style=filled, fillcolor=lightyellow];
1006 [label="1006: ','(p(s(s(0)), X968), quot(T308, X968, s(s(s(0))), T310))\n\nT308 is ground\nX968 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1007 [label="1007: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1008 [label="1008: ','(p(s(s(0)), X968), quot(T308, X968, s(s(s(0))), T310)), SCOPE: 69, CLAUSE: 4 | ','(p(s(s(0)), X968), quot(T308, X968, s(s(s(0))), T310)), SCOPE: 69, CLAUSE: 5\n\nT308 is ground\nX968 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1009 [label="1009: ','(p(s(s(0)), X968), quot(T308, X968, s(s(s(0))), T310)), SCOPE: 69, CLAUSE: 5\n\nT308 is ground\nX968 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1014 [label="1014: quot(T308, s(0), s(s(s(0))), T310)\n\nT308 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1033 [label="1033: quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 1 | quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 2 | quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 3\n\nT308 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1035 [label="1035: ','(!_70, eq(T317, 0)) | quot(0, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 2 | quot(0, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1036 [label="1036: quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 2 | quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 3\n\nT308 is ground\nX988 is free\nX989 is free\nX990 is free\nquot(T308, s(0), s(s(s(0))), T310) !=? quot(0, s(X988), s(X989), X990)", fontsize=16, style=filled, fillcolor=lightyellow];
1037 [label="1037: eq(T317, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1038 [label="1038: eq(T317, 0), SCOPE: 71, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1040 [label="1040: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1041 [label="1041: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1043 [label="1043: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1053 [label="1053: quot(T308, s(0), s(s(s(0))), T310), SCOPE: 70, CLAUSE: 3\n\nT308 is ground\nX988 is free\nX989 is free\nX990 is free\nquot(T308, s(0), s(s(s(0))), T310) !=? quot(0, s(X988), s(X989), X990)", fontsize=16, style=filled, fillcolor=lightyellow];
1058 [label="1058: ','(p(s(0), X1010), quot(T326, X1010, s(s(s(0))), T328))\n\nT326 is ground\nX1010 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1059 [label="1059: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1061 [label="1061: ','(p(s(0), X1010), quot(T326, X1010, s(s(s(0))), T328)), SCOPE: 72, CLAUSE: 4 | ','(p(s(0), X1010), quot(T326, X1010, s(s(s(0))), T328)), SCOPE: 72, CLAUSE: 5\n\nT326 is ground\nX1010 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1062 [label="1062: ','(p(s(0), X1010), quot(T326, X1010, s(s(s(0))), T328)), SCOPE: 72, CLAUSE: 5\n\nT326 is ground\nX1010 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1064 [label="N: quot(T326, 0, s(s(s(0))), T328)\n\nT326 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1067 [label="1067: quot(T326, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 1 | quot(T326, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 2 | quot(T326, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 3\n\nT326 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1073 [label="1073: quot(T326, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 2 | quot(T326, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 3\n\nT326 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1080 [label="1080: ','(!_73, ','(eq(s(s(s(0))), s(X1038)), ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)))) | quot(T335, 0, s(s(s(0))), T328), SCOPE: 73, CLAUSE: 3\n\nT335 is ground\nX1038 is free\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1081 [label="1081: ','(eq(s(s(s(0))), s(X1038)), ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)))\n\nT335 is ground\nX1038 is free\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1082 [label="1082: ','(eq(s(s(s(0))), s(X1038)), ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039))), SCOPE: 74, CLAUSE: 6\n\nT335 is ground\nX1038 is free\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1084 [label="1084: ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039))\n\nT335 is ground\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1086 [label="1086: ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)), SCOPE: 75, CLAUSE: 4 | ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)), SCOPE: 75, CLAUSE: 5\n\nT335 is ground\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1087 [label="1087: ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)), SCOPE: 75, CLAUSE: 4\n\nT335 is ground\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1088 [label="1088: ','(p(T337, X1039), quot(T335, s(s(s(0))), s(s(s(0))), X1039)), SCOPE: 75, CLAUSE: 5\n\nT335 is ground\nX1039 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1091 [label="1091: quot(T335, s(s(s(0))), s(s(s(0))), 0)\n\nT335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1093 [label="1093: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1097 [label="1097: quot(T335, s(s(s(0))), s(s(s(0))), T341)\n\nT335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1098 [label="1098: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1108 [label="1108: ','(p(T350, X1077), quot(T349, X1077, s(s(s(T350))), T352))\n\nT349 is ground\nT350 is ground\nX1077 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1109 [label="1109: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1113 [label="1113: ','(p(T350, X1077), quot(T349, X1077, s(s(s(T350))), T352)), SCOPE: 76, CLAUSE: 4 | ','(p(T350, X1077), quot(T349, X1077, s(s(s(T350))), T352)), SCOPE: 76, CLAUSE: 5\n\nT349 is ground\nT350 is ground\nX1077 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1114 [label="1114: ','(p(T350, X1077), quot(T349, X1077, s(s(s(T350))), T352)), SCOPE: 76, CLAUSE: 4\n\nT349 is ground\nT350 is ground\nX1077 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1115 [label="1115: ','(p(T350, X1077), quot(T349, X1077, s(s(s(T350))), T352)), SCOPE: 76, CLAUSE: 5\n\nT349 is ground\nT350 is ground\nX1077 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1116 [label="1116: quot(T349, 0, s(s(s(0))), T352)\n\nT349 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1117 [label="1117: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1127 [label="1127: quot(T349, T357, s(s(s(s(T357)))), T352)\n\nT349 is ground\nT357 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1128 [label="1128: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1132 [label="1132: quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 1 | quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 2 | quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 3\n\nT349 is ground\nT357 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1137 [label="1137: ','(!_77, eq(T366, 0)) | quot(0, s(T364), s(s(s(s(s(T364))))), T352), SCOPE: 77, CLAUSE: 2 | quot(0, s(T364), s(s(s(s(s(T364))))), T352), SCOPE: 77, CLAUSE: 3\n\nT364 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1138 [label="1138: quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 2 | quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 3\n\nT349 is ground\nT357 is ground\nX1097 is free\nX1098 is free\nX1099 is free\nquot(T349, T357, s(s(s(s(T357)))), T352) !=? quot(0, s(X1097), s(X1098), X1099)", fontsize=16, style=filled, fillcolor=lightyellow];
1139 [label="1139: eq(T366, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1140 [label="1140: eq(T366, 0), SCOPE: 78, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1143 [label="1143: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1144 [label="1144: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1146 [label="1146: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1154 [label="1154: quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 2\n\nT349 is ground\nT357 is ground\nX1097 is free\nX1098 is free\nX1099 is free\nquot(T349, T357, s(s(s(s(T357)))), T352) !=? quot(0, s(X1097), s(X1098), X1099)", fontsize=16, style=filled, fillcolor=lightyellow];
1155 [label="1155: quot(T349, T357, s(s(s(s(T357)))), T352), SCOPE: 77, CLAUSE: 3\n\nT349 is ground\nT357 is ground\nX1097 is free\nX1098 is free\nX1099 is free\nquot(T349, T357, s(s(s(s(T357)))), T352) !=? quot(0, s(X1097), s(X1098), X1099)", fontsize=16, style=filled, fillcolor=lightyellow];
1162 [label="1162: ','(!_77, ','(eq(s(s(s(s(0)))), s(X1122)), ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123))))\n\nT378 is ground\nX1122 is free\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1163 [label="1163: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1164 [label="1164: ','(eq(s(s(s(s(0)))), s(X1122)), ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123)))\n\nT378 is ground\nX1122 is free\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1166 [label="1166: ','(eq(s(s(s(s(0)))), s(X1122)), ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123))), SCOPE: 79, CLAUSE: 6\n\nT378 is ground\nX1122 is free\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1168 [label="1168: ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123))\n\nT378 is ground\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1174 [label="1174: ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123)), SCOPE: 80, CLAUSE: 4 | ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123)), SCOPE: 80, CLAUSE: 5\n\nT378 is ground\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1176 [label="1176: ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123)), SCOPE: 80, CLAUSE: 4\n\nT378 is ground\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1177 [label="1177: ','(p(T380, X1123), quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), X1123)), SCOPE: 80, CLAUSE: 5\n\nT378 is ground\nX1123 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1178 [label="O: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0)\n\nT378 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1179 [label="1179: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1183 [label="1183: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 1 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 2 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 3\n\nT378 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1186 [label="1186: ','(!_81, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1187 [label="1187: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 2 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 3\n\nT378 is ground\nX1148 is free\nX1149 is free\nX1150 is free\nquot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0) !=? quot(0, s(X1148), s(X1149), X1150)", fontsize=16, style=filled, fillcolor=lightyellow];
1188 [label="1188: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1189 [label="1189: eq(0, 0), SCOPE: 82, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1190 [label="1190: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1191 [label="1191: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1192 [label="1192: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0), SCOPE: 81, CLAUSE: 3\n\nT378 is ground\nX1148 is free\nX1149 is free\nX1150 is free\nquot(T378, s(s(s(s(0)))), s(s(s(s(0)))), 0) !=? quot(0, s(X1148), s(X1149), X1150)", fontsize=16, style=filled, fillcolor=lightyellow];
1200 [label="1200: ','(p(s(s(s(s(0)))), X1170), quot(T384, X1170, s(s(s(s(0)))), 0))\n\nT384 is ground\nX1170 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1201 [label="1201: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1208 [label="1208: ','(p(s(s(s(s(0)))), X1170), quot(T384, X1170, s(s(s(s(0)))), 0)), SCOPE: 83, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X1170), quot(T384, X1170, s(s(s(s(0)))), 0)), SCOPE: 83, CLAUSE: 5\n\nT384 is ground\nX1170 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1209 [label="1209: ','(p(s(s(s(s(0)))), X1170), quot(T384, X1170, s(s(s(s(0)))), 0)), SCOPE: 83, CLAUSE: 5\n\nT384 is ground\nX1170 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1211 [label="1211: quot(T384, s(s(s(0))), s(s(s(s(0)))), 0)\n\nT384 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1213 [label="1213: quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 1 | quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 2 | quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 3\n\nT384 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1221 [label="1221: ','(!_84, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1222 [label="1222: quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 2 | quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 3\n\nT384 is ground\nX1190 is free\nX1191 is free\nX1192 is free\nquot(T384, s(s(s(0))), s(s(s(s(0)))), 0) !=? quot(0, s(X1190), s(X1191), X1192)", fontsize=16, style=filled, fillcolor=lightyellow];
1223 [label="1223: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1224 [label="1224: eq(0, 0), SCOPE: 85, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1228 [label="1228: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1229 [label="1229: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1231 [label="1231: quot(T384, s(s(s(0))), s(s(s(s(0)))), 0), SCOPE: 84, CLAUSE: 3\n\nT384 is ground\nX1190 is free\nX1191 is free\nX1192 is free\nquot(T384, s(s(s(0))), s(s(s(s(0)))), 0) !=? quot(0, s(X1190), s(X1191), X1192)", fontsize=16, style=filled, fillcolor=lightyellow];
1239 [label="1239: ','(p(s(s(s(0))), X1212), quot(T388, X1212, s(s(s(s(0)))), 0))\n\nT388 is ground\nX1212 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1240 [label="1240: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1242 [label="1242: ','(p(s(s(s(0))), X1212), quot(T388, X1212, s(s(s(s(0)))), 0)), SCOPE: 86, CLAUSE: 4 | ','(p(s(s(s(0))), X1212), quot(T388, X1212, s(s(s(s(0)))), 0)), SCOPE: 86, CLAUSE: 5\n\nT388 is ground\nX1212 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1243 [label="1243: ','(p(s(s(s(0))), X1212), quot(T388, X1212, s(s(s(s(0)))), 0)), SCOPE: 86, CLAUSE: 5\n\nT388 is ground\nX1212 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1246 [label="1246: quot(T388, s(s(0)), s(s(s(s(0)))), 0)\n\nT388 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1247 [label="1247: quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 1 | quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 2 | quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 3\n\nT388 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1261 [label="1261: ','(!_87, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1262 [label="1262: quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 2 | quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 3\n\nT388 is ground\nX1232 is free\nX1233 is free\nX1234 is free\nquot(T388, s(s(0)), s(s(s(s(0)))), 0) !=? quot(0, s(X1232), s(X1233), X1234)", fontsize=16, style=filled, fillcolor=lightyellow];
1263 [label="1263: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1264 [label="1264: eq(0, 0), SCOPE: 88, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1265 [label="1265: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1266 [label="1266: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1267 [label="1267: quot(T388, s(s(0)), s(s(s(s(0)))), 0), SCOPE: 87, CLAUSE: 3\n\nT388 is ground\nX1232 is free\nX1233 is free\nX1234 is free\nquot(T388, s(s(0)), s(s(s(s(0)))), 0) !=? quot(0, s(X1232), s(X1233), X1234)", fontsize=16, style=filled, fillcolor=lightyellow];
1274 [label="1274: ','(p(s(s(0)), X1254), quot(T392, X1254, s(s(s(s(0)))), 0))\n\nT392 is ground\nX1254 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1275 [label="1275: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1277 [label="1277: ','(p(s(s(0)), X1254), quot(T392, X1254, s(s(s(s(0)))), 0)), SCOPE: 89, CLAUSE: 4 | ','(p(s(s(0)), X1254), quot(T392, X1254, s(s(s(s(0)))), 0)), SCOPE: 89, CLAUSE: 5\n\nT392 is ground\nX1254 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1278 [label="1278: ','(p(s(s(0)), X1254), quot(T392, X1254, s(s(s(s(0)))), 0)), SCOPE: 89, CLAUSE: 5\n\nT392 is ground\nX1254 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1280 [label="1280: quot(T392, s(0), s(s(s(s(0)))), 0)\n\nT392 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1282 [label="1282: quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 1 | quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 2 | quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 3\n\nT392 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1289 [label="1289: ','(!_90, eq(0, 0)) | quot(0, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 2 | quot(0, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1290 [label="1290: quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 2 | quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 3\n\nT392 is ground\nX1274 is free\nX1275 is free\nX1276 is free\nquot(T392, s(0), s(s(s(s(0)))), 0) !=? quot(0, s(X1274), s(X1275), X1276)", fontsize=16, style=filled, fillcolor=lightyellow];
1291 [label="1291: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1292 [label="1292: eq(0, 0), SCOPE: 91, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1293 [label="1293: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1294 [label="1294: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1297 [label="1297: quot(T392, s(0), s(s(s(s(0)))), 0), SCOPE: 90, CLAUSE: 3\n\nT392 is ground\nX1274 is free\nX1275 is free\nX1276 is free\nquot(T392, s(0), s(s(s(s(0)))), 0) !=? quot(0, s(X1274), s(X1275), X1276)", fontsize=16, style=filled, fillcolor=lightyellow];
1305 [label="1305: ','(p(s(0), X1296), quot(T396, X1296, s(s(s(s(0)))), 0))\n\nT396 is ground\nX1296 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1306 [label="1306: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1307 [label="1307: ','(p(s(0), X1296), quot(T396, X1296, s(s(s(s(0)))), 0)), SCOPE: 92, CLAUSE: 4 | ','(p(s(0), X1296), quot(T396, X1296, s(s(s(s(0)))), 0)), SCOPE: 92, CLAUSE: 5\n\nT396 is ground\nX1296 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1308 [label="1308: ','(p(s(0), X1296), quot(T396, X1296, s(s(s(s(0)))), 0)), SCOPE: 92, CLAUSE: 5\n\nT396 is ground\nX1296 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1310 [label="P: quot(T396, 0, s(s(s(s(0)))), 0)\n\nT396 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1316 [label="1316: quot(T396, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 1 | quot(T396, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 2 | quot(T396, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 3\n\nT396 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1319 [label="1319: quot(T396, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 2 | quot(T396, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 3\n\nT396 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1322 [label="1322: ','(!_93, ','(eq(s(s(s(s(0)))), s(X1324)), ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)))) | quot(T399, 0, s(s(s(s(0)))), 0), SCOPE: 93, CLAUSE: 3\n\nT399 is ground\nX1324 is free\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1323 [label="1323: ','(eq(s(s(s(s(0)))), s(X1324)), ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)))\n\nT399 is ground\nX1324 is free\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1329 [label="1329: ','(eq(s(s(s(s(0)))), s(X1324)), ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325))), SCOPE: 94, CLAUSE: 6\n\nT399 is ground\nX1324 is free\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1333 [label="1333: ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325))\n\nT399 is ground\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1337 [label="1337: ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)), SCOPE: 95, CLAUSE: 4 | ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)), SCOPE: 95, CLAUSE: 5\n\nT399 is ground\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1340 [label="1340: ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)), SCOPE: 95, CLAUSE: 4\n\nT399 is ground\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1341 [label="1341: ','(p(0, X1325), quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), X1325)), SCOPE: 95, CLAUSE: 5\n\nT399 is ground\nX1325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1344 [label="1344: quot(T399, s(s(s(s(0)))), s(s(s(s(0)))), 0)\n\nT399 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1345 [label="1345: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1346 [label="Q: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403)\n\nT378 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1347 [label="1347: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1351 [label="1351: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 1 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 2 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 3\n\nT378 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1367 [label="1367: ','(!_96, eq(T408, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1368 [label="1368: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 2 | quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 3\n\nT378 is ground\nX1363 is free\nX1364 is free\nX1365 is free\nquot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403) !=? quot(0, s(X1363), s(X1364), X1365)", fontsize=16, style=filled, fillcolor=lightyellow];
1369 [label="1369: eq(T408, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1370 [label="1370: eq(T408, 0), SCOPE: 97, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1375 [label="1375: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1376 [label="1376: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1377 [label="1377: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1392 [label="1392: quot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403), SCOPE: 96, CLAUSE: 3\n\nT378 is ground\nX1363 is free\nX1364 is free\nX1365 is free\nquot(T378, s(s(s(s(0)))), s(s(s(s(0)))), T403) !=? quot(0, s(X1363), s(X1364), X1365)", fontsize=16, style=filled, fillcolor=lightyellow];
1401 [label="1401: ','(p(s(s(s(s(0)))), X1385), quot(T417, X1385, s(s(s(s(0)))), T419))\n\nT417 is ground\nX1385 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1402 [label="1402: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1405 [label="1405: ','(p(s(s(s(s(0)))), X1385), quot(T417, X1385, s(s(s(s(0)))), T419)), SCOPE: 98, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X1385), quot(T417, X1385, s(s(s(s(0)))), T419)), SCOPE: 98, CLAUSE: 5\n\nT417 is ground\nX1385 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1406 [label="1406: ','(p(s(s(s(s(0)))), X1385), quot(T417, X1385, s(s(s(s(0)))), T419)), SCOPE: 98, CLAUSE: 5\n\nT417 is ground\nX1385 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1418 [label="1418: quot(T417, s(s(s(0))), s(s(s(s(0)))), T419)\n\nT417 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1424 [label="1424: quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 1 | quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 2 | quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 3\n\nT417 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1427 [label="1427: ','(!_99, eq(T426, 0)) | quot(0, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1428 [label="1428: quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 2 | quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 3\n\nT417 is ground\nX1405 is free\nX1406 is free\nX1407 is free\nquot(T417, s(s(s(0))), s(s(s(s(0)))), T419) !=? quot(0, s(X1405), s(X1406), X1407)", fontsize=16, style=filled, fillcolor=lightyellow];
1429 [label="1429: eq(T426, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1430 [label="1430: eq(T426, 0), SCOPE: 100, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1433 [label="1433: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1434 [label="1434: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1435 [label="1435: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1438 [label="1438: quot(T417, s(s(s(0))), s(s(s(s(0)))), T419), SCOPE: 99, CLAUSE: 3\n\nT417 is ground\nX1405 is free\nX1406 is free\nX1407 is free\nquot(T417, s(s(s(0))), s(s(s(s(0)))), T419) !=? quot(0, s(X1405), s(X1406), X1407)", fontsize=16, style=filled, fillcolor=lightyellow];
1454 [label="1454: ','(p(s(s(s(0))), X1427), quot(T435, X1427, s(s(s(s(0)))), T437))\n\nT435 is ground\nX1427 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1455 [label="1455: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1458 [label="1458: ','(p(s(s(s(0))), X1427), quot(T435, X1427, s(s(s(s(0)))), T437)), SCOPE: 101, CLAUSE: 4 | ','(p(s(s(s(0))), X1427), quot(T435, X1427, s(s(s(s(0)))), T437)), SCOPE: 101, CLAUSE: 5\n\nT435 is ground\nX1427 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1459 [label="1459: ','(p(s(s(s(0))), X1427), quot(T435, X1427, s(s(s(s(0)))), T437)), SCOPE: 101, CLAUSE: 5\n\nT435 is ground\nX1427 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1473 [label="1473: quot(T435, s(s(0)), s(s(s(s(0)))), T437)\n\nT435 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1476 [label="1476: quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 1 | quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 2 | quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 3\n\nT435 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1493 [label="1493: ','(!_102, eq(T444, 0)) | quot(0, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1495 [label="1495: quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 2 | quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 3\n\nT435 is ground\nX1447 is free\nX1448 is free\nX1449 is free\nquot(T435, s(s(0)), s(s(s(s(0)))), T437) !=? quot(0, s(X1447), s(X1448), X1449)", fontsize=16, style=filled, fillcolor=lightyellow];
1496 [label="1496: eq(T444, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1497 [label="1497: eq(T444, 0), SCOPE: 103, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1499 [label="1499: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1500 [label="1500: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1502 [label="1502: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1503 [label="1503: quot(T435, s(s(0)), s(s(s(s(0)))), T437), SCOPE: 102, CLAUSE: 3\n\nT435 is ground\nX1447 is free\nX1448 is free\nX1449 is free\nquot(T435, s(s(0)), s(s(s(s(0)))), T437) !=? quot(0, s(X1447), s(X1448), X1449)", fontsize=16, style=filled, fillcolor=lightyellow];
1517 [label="1517: ','(p(s(s(0)), X1469), quot(T453, X1469, s(s(s(s(0)))), T455))\n\nT453 is ground\nX1469 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1518 [label="1518: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1519 [label="1519: ','(p(s(s(0)), X1469), quot(T453, X1469, s(s(s(s(0)))), T455)), SCOPE: 104, CLAUSE: 4 | ','(p(s(s(0)), X1469), quot(T453, X1469, s(s(s(s(0)))), T455)), SCOPE: 104, CLAUSE: 5\n\nT453 is ground\nX1469 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1520 [label="1520: ','(p(s(s(0)), X1469), quot(T453, X1469, s(s(s(s(0)))), T455)), SCOPE: 104, CLAUSE: 5\n\nT453 is ground\nX1469 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1524 [label="1524: quot(T453, s(0), s(s(s(s(0)))), T455)\n\nT453 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1527 [label="1527: quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 1 | quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 2 | quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 3\n\nT453 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1537 [label="1537: ','(!_105, eq(T462, 0)) | quot(0, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 2 | quot(0, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1538 [label="1538: quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 2 | quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 3\n\nT453 is ground\nX1489 is free\nX1490 is free\nX1491 is free\nquot(T453, s(0), s(s(s(s(0)))), T455) !=? quot(0, s(X1489), s(X1490), X1491)", fontsize=16, style=filled, fillcolor=lightyellow];
1539 [label="1539: eq(T462, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1540 [label="1540: eq(T462, 0), SCOPE: 106, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1542 [label="1542: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1543 [label="1543: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1544 [label="1544: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1545 [label="1545: quot(T453, s(0), s(s(s(s(0)))), T455), SCOPE: 105, CLAUSE: 3\n\nT453 is ground\nX1489 is free\nX1490 is free\nX1491 is free\nquot(T453, s(0), s(s(s(s(0)))), T455) !=? quot(0, s(X1489), s(X1490), X1491)", fontsize=16, style=filled, fillcolor=lightyellow];
1555 [label="1555: ','(p(s(0), X1511), quot(T471, X1511, s(s(s(s(0)))), T473))\n\nT471 is ground\nX1511 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1556 [label="1556: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1557 [label="1557: ','(p(s(0), X1511), quot(T471, X1511, s(s(s(s(0)))), T473)), SCOPE: 107, CLAUSE: 4 | ','(p(s(0), X1511), quot(T471, X1511, s(s(s(s(0)))), T473)), SCOPE: 107, CLAUSE: 5\n\nT471 is ground\nX1511 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1558 [label="1558: ','(p(s(0), X1511), quot(T471, X1511, s(s(s(s(0)))), T473)), SCOPE: 107, CLAUSE: 5\n\nT471 is ground\nX1511 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1563 [label="R: quot(T471, 0, s(s(s(s(0)))), T473)\n\nT471 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1567 [label="1567: quot(T471, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 1 | quot(T471, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 2 | quot(T471, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 3\n\nT471 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1568 [label="1568: quot(T471, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 2 | quot(T471, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 3\n\nT471 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1571 [label="1571: ','(!_108, ','(eq(s(s(s(s(0)))), s(X1539)), ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)))) | quot(T480, 0, s(s(s(s(0)))), T473), SCOPE: 108, CLAUSE: 3\n\nT480 is ground\nX1539 is free\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1572 [label="1572: ','(eq(s(s(s(s(0)))), s(X1539)), ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)))\n\nT480 is ground\nX1539 is free\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1575 [label="1575: ','(eq(s(s(s(s(0)))), s(X1539)), ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540))), SCOPE: 109, CLAUSE: 6\n\nT480 is ground\nX1539 is free\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1584 [label="1584: ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540))\n\nT480 is ground\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1586 [label="1586: ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)), SCOPE: 110, CLAUSE: 4 | ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)), SCOPE: 110, CLAUSE: 5\n\nT480 is ground\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1587 [label="1587: ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)), SCOPE: 110, CLAUSE: 4\n\nT480 is ground\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1588 [label="1588: ','(p(T482, X1540), quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), X1540)), SCOPE: 110, CLAUSE: 5\n\nT480 is ground\nX1540 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1589 [label="1589: quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), 0)\n\nT480 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1590 [label="1590: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1597 [label="1597: quot(T480, s(s(s(s(0)))), s(s(s(s(0)))), T486)\n\nT480 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1598 [label="1598: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1610 [label="1610: ','(p(T495, X1578), quot(T494, X1578, s(s(s(s(T495)))), T497))\n\nT494 is ground\nT495 is ground\nX1578 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1611 [label="1611: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1614 [label="1614: ','(p(T495, X1578), quot(T494, X1578, s(s(s(s(T495)))), T497)), SCOPE: 111, CLAUSE: 4 | ','(p(T495, X1578), quot(T494, X1578, s(s(s(s(T495)))), T497)), SCOPE: 111, CLAUSE: 5\n\nT494 is ground\nT495 is ground\nX1578 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1615 [label="1615: ','(p(T495, X1578), quot(T494, X1578, s(s(s(s(T495)))), T497)), SCOPE: 111, CLAUSE: 4\n\nT494 is ground\nT495 is ground\nX1578 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1616 [label="1616: ','(p(T495, X1578), quot(T494, X1578, s(s(s(s(T495)))), T497)), SCOPE: 111, CLAUSE: 5\n\nT494 is ground\nT495 is ground\nX1578 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1617 [label="1617: quot(T494, 0, s(s(s(s(0)))), T497)\n\nT494 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1618 [label="1618: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1624 [label="1624: quot(T494, T502, s(s(s(s(s(T502))))), T497)\n\nT494 is ground\nT502 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1625 [label="1625: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1630 [label="1630: quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 1 | quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 2 | quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 3\n\nT494 is ground\nT502 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1639 [label="1639: ','(!_112, eq(T511, 0)) | quot(0, s(T509), s(s(s(s(s(s(T509)))))), T497), SCOPE: 112, CLAUSE: 2 | quot(0, s(T509), s(s(s(s(s(s(T509)))))), T497), SCOPE: 112, CLAUSE: 3\n\nT509 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1640 [label="1640: quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 2 | quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 3\n\nT494 is ground\nT502 is ground\nX1598 is free\nX1599 is free\nX1600 is free\nquot(T494, T502, s(s(s(s(s(T502))))), T497) !=? quot(0, s(X1598), s(X1599), X1600)", fontsize=16, style=filled, fillcolor=lightyellow];
1641 [label="1641: eq(T511, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1642 [label="1642: eq(T511, 0), SCOPE: 113, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1649 [label="1649: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1650 [label="1650: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1651 [label="1651: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1653 [label="1653: quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 2\n\nT494 is ground\nT502 is ground\nX1598 is free\nX1599 is free\nX1600 is free\nquot(T494, T502, s(s(s(s(s(T502))))), T497) !=? quot(0, s(X1598), s(X1599), X1600)", fontsize=16, style=filled, fillcolor=lightyellow];
1654 [label="1654: quot(T494, T502, s(s(s(s(s(T502))))), T497), SCOPE: 112, CLAUSE: 3\n\nT494 is ground\nT502 is ground\nX1598 is free\nX1599 is free\nX1600 is free\nquot(T494, T502, s(s(s(s(s(T502))))), T497) !=? quot(0, s(X1598), s(X1599), X1600)", fontsize=16, style=filled, fillcolor=lightyellow];
1666 [label="1666: ','(!_112, ','(eq(s(s(s(s(s(0))))), s(X1623)), ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624))))\n\nT523 is ground\nX1623 is free\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1667 [label="1667: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1668 [label="1668: ','(eq(s(s(s(s(s(0))))), s(X1623)), ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624)))\n\nT523 is ground\nX1623 is free\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1670 [label="1670: ','(eq(s(s(s(s(s(0))))), s(X1623)), ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624))), SCOPE: 114, CLAUSE: 6\n\nT523 is ground\nX1623 is free\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1672 [label="1672: ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624))\n\nT523 is ground\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1675 [label="1675: ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624)), SCOPE: 115, CLAUSE: 4 | ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624)), SCOPE: 115, CLAUSE: 5\n\nT523 is ground\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1676 [label="1676: ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624)), SCOPE: 115, CLAUSE: 4\n\nT523 is ground\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1677 [label="1677: ','(p(T525, X1624), quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1624)), SCOPE: 115, CLAUSE: 5\n\nT523 is ground\nX1624 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1678 [label="S: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)\n\nT523 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1679 [label="1679: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1686 [label="1686: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 1 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 2 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 3\n\nT523 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1692 [label="1692: ','(!_116, eq(0, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1693 [label="1693: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 2 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 3\n\nT523 is ground\nX1649 is free\nX1650 is free\nX1651 is free\nquot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1649), s(X1650), X1651)", fontsize=16, style=filled, fillcolor=lightyellow];
1694 [label="1694: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1695 [label="1695: eq(0, 0), SCOPE: 117, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1696 [label="1696: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1697 [label="1697: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1698 [label="1698: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0), SCOPE: 116, CLAUSE: 3\n\nT523 is ground\nX1649 is free\nX1650 is free\nX1651 is free\nquot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1649), s(X1650), X1651)", fontsize=16, style=filled, fillcolor=lightyellow];
1710 [label="1710: ','(p(s(s(s(s(s(0))))), X1671), quot(T529, X1671, s(s(s(s(s(0))))), 0))\n\nT529 is ground\nX1671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1711 [label="1711: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1713 [label="1713: ','(p(s(s(s(s(s(0))))), X1671), quot(T529, X1671, s(s(s(s(s(0))))), 0)), SCOPE: 118, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X1671), quot(T529, X1671, s(s(s(s(s(0))))), 0)), SCOPE: 118, CLAUSE: 5\n\nT529 is ground\nX1671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1714 [label="1714: ','(p(s(s(s(s(s(0))))), X1671), quot(T529, X1671, s(s(s(s(s(0))))), 0)), SCOPE: 118, CLAUSE: 5\n\nT529 is ground\nX1671 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1715 [label="1715: quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0)\n\nT529 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1721 [label="1721: quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 1 | quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 2 | quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 3\n\nT529 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1727 [label="1727: ','(!_119, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1728 [label="1728: quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 2 | quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 3\n\nT529 is ground\nX1691 is free\nX1692 is free\nX1693 is free\nquot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1691), s(X1692), X1693)", fontsize=16, style=filled, fillcolor=lightyellow];
1729 [label="1729: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1730 [label="1730: eq(0, 0), SCOPE: 120, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1734 [label="1734: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1735 [label="1735: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1737 [label="1737: quot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0), SCOPE: 119, CLAUSE: 3\n\nT529 is ground\nX1691 is free\nX1692 is free\nX1693 is free\nquot(T529, s(s(s(s(0)))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1691), s(X1692), X1693)", fontsize=16, style=filled, fillcolor=lightyellow];
1745 [label="1745: ','(p(s(s(s(s(0)))), X1713), quot(T533, X1713, s(s(s(s(s(0))))), 0))\n\nT533 is ground\nX1713 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1746 [label="1746: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1749 [label="1749: ','(p(s(s(s(s(0)))), X1713), quot(T533, X1713, s(s(s(s(s(0))))), 0)), SCOPE: 121, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X1713), quot(T533, X1713, s(s(s(s(s(0))))), 0)), SCOPE: 121, CLAUSE: 5\n\nT533 is ground\nX1713 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1750 [label="1750: ','(p(s(s(s(s(0)))), X1713), quot(T533, X1713, s(s(s(s(s(0))))), 0)), SCOPE: 121, CLAUSE: 5\n\nT533 is ground\nX1713 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1753 [label="1753: quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0)\n\nT533 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1757 [label="1757: quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 1 | quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 2 | quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 3\n\nT533 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1763 [label="1763: ','(!_122, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1764 [label="1764: quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 2 | quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 3\n\nT533 is ground\nX1733 is free\nX1734 is free\nX1735 is free\nquot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1733), s(X1734), X1735)", fontsize=16, style=filled, fillcolor=lightyellow];
1765 [label="1765: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1766 [label="1766: eq(0, 0), SCOPE: 123, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1768 [label="1768: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1769 [label="1769: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1770 [label="1770: quot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0), SCOPE: 122, CLAUSE: 3\n\nT533 is ground\nX1733 is free\nX1734 is free\nX1735 is free\nquot(T533, s(s(s(0))), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1733), s(X1734), X1735)", fontsize=16, style=filled, fillcolor=lightyellow];
1781 [label="1781: ','(p(s(s(s(0))), X1755), quot(T537, X1755, s(s(s(s(s(0))))), 0))\n\nT537 is ground\nX1755 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1782 [label="1782: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1784 [label="1784: ','(p(s(s(s(0))), X1755), quot(T537, X1755, s(s(s(s(s(0))))), 0)), SCOPE: 124, CLAUSE: 4 | ','(p(s(s(s(0))), X1755), quot(T537, X1755, s(s(s(s(s(0))))), 0)), SCOPE: 124, CLAUSE: 5\n\nT537 is ground\nX1755 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1785 [label="1785: ','(p(s(s(s(0))), X1755), quot(T537, X1755, s(s(s(s(s(0))))), 0)), SCOPE: 124, CLAUSE: 5\n\nT537 is ground\nX1755 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1789 [label="1789: quot(T537, s(s(0)), s(s(s(s(s(0))))), 0)\n\nT537 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1793 [label="1793: quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 1 | quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 2 | quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 3\n\nT537 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1798 [label="1798: ','(!_125, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1799 [label="1799: quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 2 | quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 3\n\nT537 is ground\nX1775 is free\nX1776 is free\nX1777 is free\nquot(T537, s(s(0)), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1775), s(X1776), X1777)", fontsize=16, style=filled, fillcolor=lightyellow];
1800 [label="1800: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1801 [label="1801: eq(0, 0), SCOPE: 126, CLAUSE: 6\n\n", 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];
1807 [label="1807: quot(T537, s(s(0)), s(s(s(s(s(0))))), 0), SCOPE: 125, CLAUSE: 3\n\nT537 is ground\nX1775 is free\nX1776 is free\nX1777 is free\nquot(T537, s(s(0)), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1775), s(X1776), X1777)", fontsize=16, style=filled, fillcolor=lightyellow];
1816 [label="1816: ','(p(s(s(0)), X1797), quot(T541, X1797, s(s(s(s(s(0))))), 0))\n\nT541 is ground\nX1797 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1817 [label="1817: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1822 [label="1822: ','(p(s(s(0)), X1797), quot(T541, X1797, s(s(s(s(s(0))))), 0)), SCOPE: 127, CLAUSE: 4 | ','(p(s(s(0)), X1797), quot(T541, X1797, s(s(s(s(s(0))))), 0)), SCOPE: 127, CLAUSE: 5\n\nT541 is ground\nX1797 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1823 [label="1823: ','(p(s(s(0)), X1797), quot(T541, X1797, s(s(s(s(s(0))))), 0)), SCOPE: 127, CLAUSE: 5\n\nT541 is ground\nX1797 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1827 [label="1827: quot(T541, s(0), s(s(s(s(s(0))))), 0)\n\nT541 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1831 [label="1831: quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 1 | quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 2 | quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 3\n\nT541 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1835 [label="1835: ','(!_128, eq(0, 0)) | quot(0, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1836 [label="1836: quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 2 | quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 3\n\nT541 is ground\nX1817 is free\nX1818 is free\nX1819 is free\nquot(T541, s(0), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1817), s(X1818), X1819)", fontsize=16, style=filled, fillcolor=lightyellow];
1837 [label="1837: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1838 [label="1838: eq(0, 0), SCOPE: 129, CLAUSE: 6\n\n", 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];
1847 [label="1847: quot(T541, s(0), s(s(s(s(s(0))))), 0), SCOPE: 128, CLAUSE: 3\n\nT541 is ground\nX1817 is free\nX1818 is free\nX1819 is free\nquot(T541, s(0), s(s(s(s(s(0))))), 0) !=? quot(0, s(X1817), s(X1818), X1819)", fontsize=16, style=filled, fillcolor=lightyellow];
1852 [label="1852: ','(p(s(0), X1839), quot(T545, X1839, s(s(s(s(s(0))))), 0))\n\nT545 is ground\nX1839 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1853 [label="1853: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1855 [label="1855: ','(p(s(0), X1839), quot(T545, X1839, s(s(s(s(s(0))))), 0)), SCOPE: 130, CLAUSE: 4 | ','(p(s(0), X1839), quot(T545, X1839, s(s(s(s(s(0))))), 0)), SCOPE: 130, CLAUSE: 5\n\nT545 is ground\nX1839 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1856 [label="1856: ','(p(s(0), X1839), quot(T545, X1839, s(s(s(s(s(0))))), 0)), SCOPE: 130, CLAUSE: 5\n\nT545 is ground\nX1839 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1862 [label="T: quot(T545, 0, s(s(s(s(s(0))))), 0)\n\nT545 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1867 [label="1867: quot(T545, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 1 | quot(T545, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 2 | quot(T545, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 3\n\nT545 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1871 [label="1871: quot(T545, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 2 | quot(T545, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 3\n\nT545 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1876 [label="1876: ','(!_131, ','(eq(s(s(s(s(s(0))))), s(X1867)), ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)))) | quot(T548, 0, s(s(s(s(s(0))))), 0), SCOPE: 131, CLAUSE: 3\n\nT548 is ground\nX1867 is free\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1877 [label="1877: ','(eq(s(s(s(s(s(0))))), s(X1867)), ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)))\n\nT548 is ground\nX1867 is free\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1880 [label="1880: ','(eq(s(s(s(s(s(0))))), s(X1867)), ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868))), SCOPE: 132, CLAUSE: 6\n\nT548 is ground\nX1867 is free\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1884 [label="1884: ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868))\n\nT548 is ground\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1886 [label="1886: ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)), SCOPE: 133, CLAUSE: 4 | ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)), SCOPE: 133, CLAUSE: 5\n\nT548 is ground\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1891 [label="1891: ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)), SCOPE: 133, CLAUSE: 4\n\nT548 is ground\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1892 [label="1892: ','(p(0, X1868), quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X1868)), SCOPE: 133, CLAUSE: 5\n\nT548 is ground\nX1868 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1897 [label="1897: quot(T548, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)\n\nT548 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1899 [label="1899: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1904 [label="U: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552)\n\nT523 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1905 [label="1905: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1909 [label="1909: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 1 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 2 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 3\n\nT523 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1915 [label="1915: ','(!_134, eq(T557, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1916 [label="1916: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 2 | quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 3\n\nT523 is ground\nX1906 is free\nX1907 is free\nX1908 is free\nquot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552) !=? quot(0, s(X1906), s(X1907), X1908)", fontsize=16, style=filled, fillcolor=lightyellow];
1917 [label="1917: eq(T557, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1918 [label="1918: eq(T557, 0), SCOPE: 135, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1920 [label="1920: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1921 [label="1921: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1922 [label="1922: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1926 [label="1926: quot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552), SCOPE: 134, CLAUSE: 3\n\nT523 is ground\nX1906 is free\nX1907 is free\nX1908 is free\nquot(T523, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T552) !=? quot(0, s(X1906), s(X1907), X1908)", fontsize=16, style=filled, fillcolor=lightyellow];
1937 [label="1937: ','(p(s(s(s(s(s(0))))), X1928), quot(T566, X1928, s(s(s(s(s(0))))), T568))\n\nT566 is ground\nX1928 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1938 [label="1938: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1941 [label="1941: ','(p(s(s(s(s(s(0))))), X1928), quot(T566, X1928, s(s(s(s(s(0))))), T568)), SCOPE: 136, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X1928), quot(T566, X1928, s(s(s(s(s(0))))), T568)), SCOPE: 136, CLAUSE: 5\n\nT566 is ground\nX1928 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1942 [label="1942: ','(p(s(s(s(s(s(0))))), X1928), quot(T566, X1928, s(s(s(s(s(0))))), T568)), SCOPE: 136, CLAUSE: 5\n\nT566 is ground\nX1928 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1943 [label="1943: quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568)\n\nT566 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1950 [label="1950: quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 1 | quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 2 | quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 3\n\nT566 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1958 [label="1958: ','(!_137, eq(T575, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1959 [label="1959: quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 2 | quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 3\n\nT566 is ground\nX1948 is free\nX1949 is free\nX1950 is free\nquot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568) !=? quot(0, s(X1948), s(X1949), X1950)", fontsize=16, style=filled, fillcolor=lightyellow];
1960 [label="1960: eq(T575, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1961 [label="1961: eq(T575, 0), SCOPE: 138, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1962 [label="1962: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1963 [label="1963: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1964 [label="1964: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1966 [label="1966: quot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568), SCOPE: 137, CLAUSE: 3\n\nT566 is ground\nX1948 is free\nX1949 is free\nX1950 is free\nquot(T566, s(s(s(s(0)))), s(s(s(s(s(0))))), T568) !=? quot(0, s(X1948), s(X1949), X1950)", fontsize=16, style=filled, fillcolor=lightyellow];
1979 [label="1979: ','(p(s(s(s(s(0)))), X1970), quot(T584, X1970, s(s(s(s(s(0))))), T586))\n\nT584 is ground\nX1970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1980 [label="1980: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1982 [label="1982: ','(p(s(s(s(s(0)))), X1970), quot(T584, X1970, s(s(s(s(s(0))))), T586)), SCOPE: 139, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X1970), quot(T584, X1970, s(s(s(s(s(0))))), T586)), SCOPE: 139, CLAUSE: 5\n\nT584 is ground\nX1970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1984 [label="1984: ','(p(s(s(s(s(0)))), X1970), quot(T584, X1970, s(s(s(s(s(0))))), T586)), SCOPE: 139, CLAUSE: 5\n\nT584 is ground\nX1970 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1985 [label="1985: quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586)\n\nT584 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1992 [label="1992: quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 1 | quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 2 | quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 3\n\nT584 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2000 [label="2000: ','(!_140, eq(T593, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2001 [label="2001: quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 2 | quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 3\n\nT584 is ground\nX1990 is free\nX1991 is free\nX1992 is free\nquot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586) !=? quot(0, s(X1990), s(X1991), X1992)", fontsize=16, style=filled, fillcolor=lightyellow];
2002 [label="2002: eq(T593, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2003 [label="2003: eq(T593, 0), SCOPE: 141, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2004 [label="2004: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2006 [label="2006: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2007 [label="2007: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2008 [label="2008: quot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586), SCOPE: 140, CLAUSE: 3\n\nT584 is ground\nX1990 is free\nX1991 is free\nX1992 is free\nquot(T584, s(s(s(0))), s(s(s(s(s(0))))), T586) !=? quot(0, s(X1990), s(X1991), X1992)", fontsize=16, style=filled, fillcolor=lightyellow];
2021 [label="2021: ','(p(s(s(s(0))), X2012), quot(T602, X2012, s(s(s(s(s(0))))), T604))\n\nT602 is ground\nX2012 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2022 [label="2022: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2024 [label="2024: ','(p(s(s(s(0))), X2012), quot(T602, X2012, s(s(s(s(s(0))))), T604)), SCOPE: 142, CLAUSE: 4 | ','(p(s(s(s(0))), X2012), quot(T602, X2012, s(s(s(s(s(0))))), T604)), SCOPE: 142, CLAUSE: 5\n\nT602 is ground\nX2012 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2025 [label="2025: ','(p(s(s(s(0))), X2012), quot(T602, X2012, s(s(s(s(s(0))))), T604)), SCOPE: 142, CLAUSE: 5\n\nT602 is ground\nX2012 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2028 [label="2028: quot(T602, s(s(0)), s(s(s(s(s(0))))), T604)\n\nT602 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2031 [label="2031: quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 1 | quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 2 | quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 3\n\nT602 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2037 [label="2037: ','(!_143, eq(T611, 0)) | quot(0, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2038 [label="2038: quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 2 | quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 3\n\nT602 is ground\nX2032 is free\nX2033 is free\nX2034 is free\nquot(T602, s(s(0)), s(s(s(s(s(0))))), T604) !=? quot(0, s(X2032), s(X2033), X2034)", fontsize=16, style=filled, fillcolor=lightyellow];
2039 [label="2039: eq(T611, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2040 [label="2040: eq(T611, 0), SCOPE: 144, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2043 [label="2043: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2044 [label="2044: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2045 [label="2045: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2046 [label="2046: quot(T602, s(s(0)), s(s(s(s(s(0))))), T604), SCOPE: 143, CLAUSE: 3\n\nT602 is ground\nX2032 is free\nX2033 is free\nX2034 is free\nquot(T602, s(s(0)), s(s(s(s(s(0))))), T604) !=? quot(0, s(X2032), s(X2033), X2034)", fontsize=16, style=filled, fillcolor=lightyellow];
2061 [label="2061: ','(p(s(s(0)), X2054), quot(T620, X2054, s(s(s(s(s(0))))), T622))\n\nT620 is ground\nX2054 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2062 [label="2062: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2065 [label="2065: ','(p(s(s(0)), X2054), quot(T620, X2054, s(s(s(s(s(0))))), T622)), SCOPE: 145, CLAUSE: 4 | ','(p(s(s(0)), X2054), quot(T620, X2054, s(s(s(s(s(0))))), T622)), SCOPE: 145, CLAUSE: 5\n\nT620 is ground\nX2054 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2066 [label="2066: ','(p(s(s(0)), X2054), quot(T620, X2054, s(s(s(s(s(0))))), T622)), SCOPE: 145, CLAUSE: 5\n\nT620 is ground\nX2054 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2067 [label="2067: quot(T620, s(0), s(s(s(s(s(0))))), T622)\n\nT620 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2070 [label="2070: quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 1 | quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 2 | quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 3\n\nT620 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2081 [label="2081: ','(!_146, eq(T629, 0)) | quot(0, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2082 [label="2082: quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 2 | quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 3\n\nT620 is ground\nX2074 is free\nX2075 is free\nX2076 is free\nquot(T620, s(0), s(s(s(s(s(0))))), T622) !=? quot(0, s(X2074), s(X2075), X2076)", fontsize=16, style=filled, fillcolor=lightyellow];
2083 [label="2083: eq(T629, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2084 [label="2084: eq(T629, 0), SCOPE: 147, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2086 [label="2086: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2087 [label="2087: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2088 [label="2088: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2090 [label="2090: quot(T620, s(0), s(s(s(s(s(0))))), T622), SCOPE: 146, CLAUSE: 3\n\nT620 is ground\nX2074 is free\nX2075 is free\nX2076 is free\nquot(T620, s(0), s(s(s(s(s(0))))), T622) !=? quot(0, s(X2074), s(X2075), X2076)", fontsize=16, style=filled, fillcolor=lightyellow];
2096 [label="2096: ','(p(s(0), X2096), quot(T638, X2096, s(s(s(s(s(0))))), T640))\n\nT638 is ground\nX2096 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2097 [label="2097: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2099 [label="2099: ','(p(s(0), X2096), quot(T638, X2096, s(s(s(s(s(0))))), T640)), SCOPE: 148, CLAUSE: 4 | ','(p(s(0), X2096), quot(T638, X2096, s(s(s(s(s(0))))), T640)), SCOPE: 148, CLAUSE: 5\n\nT638 is ground\nX2096 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2100 [label="2100: ','(p(s(0), X2096), quot(T638, X2096, s(s(s(s(s(0))))), T640)), SCOPE: 148, CLAUSE: 5\n\nT638 is ground\nX2096 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2106 [label="V: quot(T638, 0, s(s(s(s(s(0))))), T640)\n\nT638 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2115 [label="2115: quot(T638, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 1 | quot(T638, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 2 | quot(T638, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 3\n\nT638 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2116 [label="2116: quot(T638, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 2 | quot(T638, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 3\n\nT638 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2121 [label="2121: ','(!_149, ','(eq(s(s(s(s(s(0))))), s(X2124)), ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)))) | quot(T647, 0, s(s(s(s(s(0))))), T640), SCOPE: 149, CLAUSE: 3\n\nT647 is ground\nX2124 is free\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2122 [label="2122: ','(eq(s(s(s(s(s(0))))), s(X2124)), ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)))\n\nT647 is ground\nX2124 is free\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2126 [label="2126: ','(eq(s(s(s(s(s(0))))), s(X2124)), ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125))), SCOPE: 150, CLAUSE: 6\n\nT647 is ground\nX2124 is free\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2130 [label="2130: ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125))\n\nT647 is ground\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2137 [label="2137: ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)), SCOPE: 151, CLAUSE: 4 | ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)), SCOPE: 151, CLAUSE: 5\n\nT647 is ground\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2138 [label="2138: ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)), SCOPE: 151, CLAUSE: 4\n\nT647 is ground\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2139 [label="2139: ','(p(T649, X2125), quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X2125)), SCOPE: 151, CLAUSE: 5\n\nT647 is ground\nX2125 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2140 [label="2140: quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)\n\nT647 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2141 [label="2141: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2150 [label="2150: quot(T647, s(s(s(s(s(0))))), s(s(s(s(s(0))))), T653)\n\nT647 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2151 [label="2151: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2167 [label="2167: ','(p(T662, X2163), quot(T661, X2163, s(s(s(s(s(T662))))), T664))\n\nT661 is ground\nT662 is ground\nX2163 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2168 [label="2168: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2169 [label="2169: ','(p(T662, X2163), quot(T661, X2163, s(s(s(s(s(T662))))), T664)), SCOPE: 152, CLAUSE: 4 | ','(p(T662, X2163), quot(T661, X2163, s(s(s(s(s(T662))))), T664)), SCOPE: 152, CLAUSE: 5\n\nT661 is ground\nT662 is ground\nX2163 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2170 [label="2170: ','(p(T662, X2163), quot(T661, X2163, s(s(s(s(s(T662))))), T664)), SCOPE: 152, CLAUSE: 4\n\nT661 is ground\nT662 is ground\nX2163 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2171 [label="2171: ','(p(T662, X2163), quot(T661, X2163, s(s(s(s(s(T662))))), T664)), SCOPE: 152, CLAUSE: 5\n\nT661 is ground\nT662 is ground\nX2163 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2172 [label="2172: quot(T661, 0, s(s(s(s(s(0))))), T664)\n\nT661 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2173 [label="2173: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2180 [label="2180: quot(T661, T669, s(s(s(s(s(s(T669)))))), T664)\n\nT661 is ground\nT669 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2181 [label="2181: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2186 [label="2186: quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 1 | quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 2 | quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 3\n\nT661 is ground\nT669 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2190 [label="2190: ','(!_153, eq(T678, 0)) | quot(0, s(T676), s(s(s(s(s(s(s(T676))))))), T664), SCOPE: 153, CLAUSE: 2 | quot(0, s(T676), s(s(s(s(s(s(s(T676))))))), T664), SCOPE: 153, CLAUSE: 3\n\nT676 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2191 [label="2191: quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 2 | quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 3\n\nT661 is ground\nT669 is ground\nX2183 is free\nX2184 is free\nX2185 is free\nquot(T661, T669, s(s(s(s(s(s(T669)))))), T664) !=? quot(0, s(X2183), s(X2184), X2185)", fontsize=16, style=filled, fillcolor=lightyellow];
2192 [label="2192: eq(T678, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2193 [label="2193: eq(T678, 0), SCOPE: 154, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2203 [label="2203: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2204 [label="2204: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2205 [label="2205: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2210 [label="2210: quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 2\n\nT661 is ground\nT669 is ground\nX2183 is free\nX2184 is free\nX2185 is free\nquot(T661, T669, s(s(s(s(s(s(T669)))))), T664) !=? quot(0, s(X2183), s(X2184), X2185)", fontsize=16, style=filled, fillcolor=lightyellow];
2211 [label="2211: quot(T661, T669, s(s(s(s(s(s(T669)))))), T664), SCOPE: 153, CLAUSE: 3\n\nT661 is ground\nT669 is ground\nX2183 is free\nX2184 is free\nX2185 is free\nquot(T661, T669, s(s(s(s(s(s(T669)))))), T664) !=? quot(0, s(X2183), s(X2184), X2185)", fontsize=16, style=filled, fillcolor=lightyellow];
2223 [label="2223: ','(!_153, ','(eq(s(s(s(s(s(s(0)))))), s(X2208)), ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209))))\n\nT690 is ground\nX2208 is free\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2224 [label="2224: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2225 [label="2225: ','(eq(s(s(s(s(s(s(0)))))), s(X2208)), ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209)))\n\nT690 is ground\nX2208 is free\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2227 [label="2227: ','(eq(s(s(s(s(s(s(0)))))), s(X2208)), ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209))), SCOPE: 155, CLAUSE: 6\n\nT690 is ground\nX2208 is free\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2233 [label="2233: ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209))\n\nT690 is ground\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2235 [label="2235: ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209)), SCOPE: 156, CLAUSE: 4 | ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209)), SCOPE: 156, CLAUSE: 5\n\nT690 is ground\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2236 [label="2236: ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209)), SCOPE: 156, CLAUSE: 4\n\nT690 is ground\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2237 [label="2237: ','(p(T692, X2209), quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2209)), SCOPE: 156, CLAUSE: 5\n\nT690 is ground\nX2209 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2238 [label="W: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)\n\nT690 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2239 [label="2239: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2245 [label="2245: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 1 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 2 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 3\n\nT690 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2253 [label="2253: ','(!_157, eq(0, 0)) | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2254 [label="2254: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 2 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 3\n\nT690 is ground\nX2234 is free\nX2235 is free\nX2236 is free\nquot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2234), s(X2235), X2236)", fontsize=16, style=filled, fillcolor=lightyellow];
2255 [label="2255: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2256 [label="2256: eq(0, 0), SCOPE: 158, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2259 [label="2259: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2260 [label="2260: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2262 [label="2262: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 157, CLAUSE: 3\n\nT690 is ground\nX2234 is free\nX2235 is free\nX2236 is free\nquot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2234), s(X2235), X2236)", fontsize=16, style=filled, fillcolor=lightyellow];
2269 [label="2269: ','(p(s(s(s(s(s(s(0)))))), X2256), quot(T696, X2256, s(s(s(s(s(s(0)))))), 0))\n\nT696 is ground\nX2256 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2270 [label="2270: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2274 [label="2274: ','(p(s(s(s(s(s(s(0)))))), X2256), quot(T696, X2256, s(s(s(s(s(s(0)))))), 0)), SCOPE: 159, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X2256), quot(T696, X2256, s(s(s(s(s(s(0)))))), 0)), SCOPE: 159, CLAUSE: 5\n\nT696 is ground\nX2256 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2275 [label="2275: ','(p(s(s(s(s(s(s(0)))))), X2256), quot(T696, X2256, s(s(s(s(s(s(0)))))), 0)), SCOPE: 159, CLAUSE: 5\n\nT696 is ground\nX2256 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2278 [label="2278: quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0)\n\nT696 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2280 [label="2280: quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 1 | quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 2 | quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 3\n\nT696 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2292 [label="2292: ','(!_160, eq(0, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2293 [label="2293: quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 2 | quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 3\n\nT696 is ground\nX2276 is free\nX2277 is free\nX2278 is free\nquot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2276), s(X2277), X2278)", fontsize=16, style=filled, fillcolor=lightyellow];
2294 [label="2294: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2295 [label="2295: eq(0, 0), SCOPE: 161, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2298 [label="2298: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2299 [label="2299: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2301 [label="2301: quot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0), SCOPE: 160, CLAUSE: 3\n\nT696 is ground\nX2276 is free\nX2277 is free\nX2278 is free\nquot(T696, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2276), s(X2277), X2278)", fontsize=16, style=filled, fillcolor=lightyellow];
2308 [label="2308: ','(p(s(s(s(s(s(0))))), X2298), quot(T700, X2298, s(s(s(s(s(s(0)))))), 0))\n\nT700 is ground\nX2298 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2309 [label="2309: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2313 [label="2313: ','(p(s(s(s(s(s(0))))), X2298), quot(T700, X2298, s(s(s(s(s(s(0)))))), 0)), SCOPE: 162, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X2298), quot(T700, X2298, s(s(s(s(s(s(0)))))), 0)), SCOPE: 162, CLAUSE: 5\n\nT700 is ground\nX2298 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2314 [label="2314: ','(p(s(s(s(s(s(0))))), X2298), quot(T700, X2298, s(s(s(s(s(s(0)))))), 0)), SCOPE: 162, CLAUSE: 5\n\nT700 is ground\nX2298 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2317 [label="2317: quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0)\n\nT700 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2319 [label="2319: quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 1 | quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 2 | quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 3\n\nT700 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2330 [label="2330: ','(!_163, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2332 [label="2332: quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 2 | quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 3\n\nT700 is ground\nX2318 is free\nX2319 is free\nX2320 is free\nquot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2318), s(X2319), X2320)", fontsize=16, style=filled, fillcolor=lightyellow];
2333 [label="2333: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2334 [label="2334: eq(0, 0), SCOPE: 164, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2337 [label="2337: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2338 [label="2338: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2340 [label="2340: quot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0), SCOPE: 163, CLAUSE: 3\n\nT700 is ground\nX2318 is free\nX2319 is free\nX2320 is free\nquot(T700, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2318), s(X2319), X2320)", fontsize=16, style=filled, fillcolor=lightyellow];
2347 [label="2347: ','(p(s(s(s(s(0)))), X2340), quot(T704, X2340, s(s(s(s(s(s(0)))))), 0))\n\nT704 is ground\nX2340 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2348 [label="2348: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2351 [label="2351: ','(p(s(s(s(s(0)))), X2340), quot(T704, X2340, s(s(s(s(s(s(0)))))), 0)), SCOPE: 165, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X2340), quot(T704, X2340, s(s(s(s(s(s(0)))))), 0)), SCOPE: 165, CLAUSE: 5\n\nT704 is ground\nX2340 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2352 [label="2352: ','(p(s(s(s(s(0)))), X2340), quot(T704, X2340, s(s(s(s(s(s(0)))))), 0)), SCOPE: 165, CLAUSE: 5\n\nT704 is ground\nX2340 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2355 [label="2355: quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0)\n\nT704 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2358 [label="2358: quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 1 | quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 2 | quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 3\n\nT704 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2371 [label="2371: ','(!_166, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2372 [label="2372: quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 2 | quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 3\n\nT704 is ground\nX2360 is free\nX2361 is free\nX2362 is free\nquot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2360), s(X2361), X2362)", fontsize=16, style=filled, fillcolor=lightyellow];
2373 [label="2373: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2374 [label="2374: eq(0, 0), SCOPE: 167, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2377 [label="2377: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2378 [label="2378: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2379 [label="2379: quot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0), SCOPE: 166, CLAUSE: 3\n\nT704 is ground\nX2360 is free\nX2361 is free\nX2362 is free\nquot(T704, s(s(s(0))), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2360), s(X2361), X2362)", fontsize=16, style=filled, fillcolor=lightyellow];
2387 [label="2387: ','(p(s(s(s(0))), X2382), quot(T708, X2382, s(s(s(s(s(s(0)))))), 0))\n\nT708 is ground\nX2382 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2389 [label="2389: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2390 [label="2390: ','(p(s(s(s(0))), X2382), quot(T708, X2382, s(s(s(s(s(s(0)))))), 0)), SCOPE: 168, CLAUSE: 4 | ','(p(s(s(s(0))), X2382), quot(T708, X2382, s(s(s(s(s(s(0)))))), 0)), SCOPE: 168, CLAUSE: 5\n\nT708 is ground\nX2382 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2391 [label="2391: ','(p(s(s(s(0))), X2382), quot(T708, X2382, s(s(s(s(s(s(0)))))), 0)), SCOPE: 168, CLAUSE: 5\n\nT708 is ground\nX2382 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2394 [label="2394: quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0)\n\nT708 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2398 [label="2398: quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 1 | quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 2 | quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 3\n\nT708 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2405 [label="2405: ','(!_169, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2406 [label="2406: quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 2 | quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 3\n\nT708 is ground\nX2402 is free\nX2403 is free\nX2404 is free\nquot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2402), s(X2403), X2404)", fontsize=16, style=filled, fillcolor=lightyellow];
2407 [label="2407: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2408 [label="2408: eq(0, 0), SCOPE: 170, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2410 [label="2410: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2411 [label="2411: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2414 [label="2414: quot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0), SCOPE: 169, CLAUSE: 3\n\nT708 is ground\nX2402 is free\nX2403 is free\nX2404 is free\nquot(T708, s(s(0)), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2402), s(X2403), X2404)", fontsize=16, style=filled, fillcolor=lightyellow];
2422 [label="2422: ','(p(s(s(0)), X2424), quot(T712, X2424, s(s(s(s(s(s(0)))))), 0))\n\nT712 is ground\nX2424 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2423 [label="2423: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2426 [label="2426: ','(p(s(s(0)), X2424), quot(T712, X2424, s(s(s(s(s(s(0)))))), 0)), SCOPE: 171, CLAUSE: 4 | ','(p(s(s(0)), X2424), quot(T712, X2424, s(s(s(s(s(s(0)))))), 0)), SCOPE: 171, CLAUSE: 5\n\nT712 is ground\nX2424 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2427 [label="2427: ','(p(s(s(0)), X2424), quot(T712, X2424, s(s(s(s(s(s(0)))))), 0)), SCOPE: 171, CLAUSE: 5\n\nT712 is ground\nX2424 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2431 [label="2431: quot(T712, s(0), s(s(s(s(s(s(0)))))), 0)\n\nT712 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2434 [label="2434: quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 1 | quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 2 | quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 3\n\nT712 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2438 [label="2438: ','(!_172, eq(0, 0)) | quot(0, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2439 [label="2439: quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 2 | quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 3\n\nT712 is ground\nX2444 is free\nX2445 is free\nX2446 is free\nquot(T712, s(0), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2444), s(X2445), X2446)", fontsize=16, style=filled, fillcolor=lightyellow];
2440 [label="2440: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2441 [label="2441: eq(0, 0), SCOPE: 173, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2444 [label="2444: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2445 [label="2445: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2447 [label="2447: quot(T712, s(0), s(s(s(s(s(s(0)))))), 0), SCOPE: 172, CLAUSE: 3\n\nT712 is ground\nX2444 is free\nX2445 is free\nX2446 is free\nquot(T712, s(0), s(s(s(s(s(s(0)))))), 0) !=? quot(0, s(X2444), s(X2445), X2446)", fontsize=16, style=filled, fillcolor=lightyellow];
2460 [label="2460: ','(p(s(0), X2466), quot(T716, X2466, s(s(s(s(s(s(0)))))), 0))\n\nT716 is ground\nX2466 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2461 [label="2461: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2463 [label="2463: ','(p(s(0), X2466), quot(T716, X2466, s(s(s(s(s(s(0)))))), 0)), SCOPE: 174, CLAUSE: 4 | ','(p(s(0), X2466), quot(T716, X2466, s(s(s(s(s(s(0)))))), 0)), SCOPE: 174, CLAUSE: 5\n\nT716 is ground\nX2466 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2464 [label="2464: ','(p(s(0), X2466), quot(T716, X2466, s(s(s(s(s(s(0)))))), 0)), SCOPE: 174, CLAUSE: 5\n\nT716 is ground\nX2466 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2466 [label="X: quot(T716, 0, s(s(s(s(s(s(0)))))), 0)\n\nT716 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2471 [label="2471: quot(T716, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 1 | quot(T716, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 2 | quot(T716, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 3\n\nT716 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2475 [label="2475: quot(T716, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 2 | quot(T716, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 3\n\nT716 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2485 [label="2485: ','(!_175, ','(eq(s(s(s(s(s(s(0)))))), s(X2494)), ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)))) | quot(T719, 0, s(s(s(s(s(s(0)))))), 0), SCOPE: 175, CLAUSE: 3\n\nT719 is ground\nX2494 is free\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2486 [label="2486: ','(eq(s(s(s(s(s(s(0)))))), s(X2494)), ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)))\n\nT719 is ground\nX2494 is free\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2488 [label="2488: ','(eq(s(s(s(s(s(s(0)))))), s(X2494)), ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495))), SCOPE: 176, CLAUSE: 6\n\nT719 is ground\nX2494 is free\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2493 [label="2493: ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495))\n\nT719 is ground\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2497 [label="2497: ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)), SCOPE: 177, CLAUSE: 4 | ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)), SCOPE: 177, CLAUSE: 5\n\nT719 is ground\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2501 [label="2501: ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)), SCOPE: 177, CLAUSE: 4\n\nT719 is ground\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2502 [label="2502: ','(p(0, X2495), quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2495)), SCOPE: 177, CLAUSE: 5\n\nT719 is ground\nX2495 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2503 [label="2503: quot(T719, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)\n\nT719 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2506 [label="2506: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2508 [label="Y: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723)\n\nT690 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2509 [label="2509: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2515 [label="2515: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 1 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 2 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 3\n\nT690 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2521 [label="2521: ','(!_178, eq(T728, 0)) | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2522 [label="2522: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 2 | quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 3\n\nT690 is ground\nX2533 is free\nX2534 is free\nX2535 is free\nquot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723) !=? quot(0, s(X2533), s(X2534), X2535)", fontsize=16, style=filled, fillcolor=lightyellow];
2523 [label="2523: eq(T728, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2524 [label="2524: eq(T728, 0), SCOPE: 179, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2529 [label="2529: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2530 [label="2530: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2531 [label="2531: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2533 [label="2533: quot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723), SCOPE: 178, CLAUSE: 3\n\nT690 is ground\nX2533 is free\nX2534 is free\nX2535 is free\nquot(T690, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T723) !=? quot(0, s(X2533), s(X2534), X2535)", fontsize=16, style=filled, fillcolor=lightyellow];
2544 [label="2544: ','(p(s(s(s(s(s(s(0)))))), X2555), quot(T737, X2555, s(s(s(s(s(s(0)))))), T739))\n\nT737 is ground\nX2555 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2545 [label="2545: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2548 [label="2548: ','(p(s(s(s(s(s(s(0)))))), X2555), quot(T737, X2555, s(s(s(s(s(s(0)))))), T739)), SCOPE: 180, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X2555), quot(T737, X2555, s(s(s(s(s(s(0)))))), T739)), SCOPE: 180, CLAUSE: 5\n\nT737 is ground\nX2555 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2549 [label="2549: ','(p(s(s(s(s(s(s(0)))))), X2555), quot(T737, X2555, s(s(s(s(s(s(0)))))), T739)), SCOPE: 180, CLAUSE: 5\n\nT737 is ground\nX2555 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2551 [label="2551: quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739)\n\nT737 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2555 [label="2555: quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 1 | quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 2 | quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 3\n\nT737 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2563 [label="2563: ','(!_181, eq(T746, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2564 [label="2564: quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 2 | quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 3\n\nT737 is ground\nX2575 is free\nX2576 is free\nX2577 is free\nquot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739) !=? quot(0, s(X2575), s(X2576), X2577)", fontsize=16, style=filled, fillcolor=lightyellow];
2565 [label="2565: eq(T746, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2566 [label="2566: eq(T746, 0), SCOPE: 182, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2570 [label="2570: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2571 [label="2571: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2572 [label="2572: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2575 [label="2575: quot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739), SCOPE: 181, CLAUSE: 3\n\nT737 is ground\nX2575 is free\nX2576 is free\nX2577 is free\nquot(T737, s(s(s(s(s(0))))), s(s(s(s(s(s(0)))))), T739) !=? quot(0, s(X2575), s(X2576), X2577)", fontsize=16, style=filled, fillcolor=lightyellow];
2585 [label="2585: ','(p(s(s(s(s(s(0))))), X2597), quot(T755, X2597, s(s(s(s(s(s(0)))))), T757))\n\nT755 is ground\nX2597 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2586 [label="2586: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2590 [label="2590: ','(p(s(s(s(s(s(0))))), X2597), quot(T755, X2597, s(s(s(s(s(s(0)))))), T757)), SCOPE: 183, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X2597), quot(T755, X2597, s(s(s(s(s(s(0)))))), T757)), SCOPE: 183, CLAUSE: 5\n\nT755 is ground\nX2597 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2591 [label="2591: ','(p(s(s(s(s(s(0))))), X2597), quot(T755, X2597, s(s(s(s(s(s(0)))))), T757)), SCOPE: 183, CLAUSE: 5\n\nT755 is ground\nX2597 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2593 [label="2593: quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757)\n\nT755 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2597 [label="2597: quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 1 | quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 2 | quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 3\n\nT755 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2604 [label="2604: ','(!_184, eq(T764, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2605 [label="2605: quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 2 | quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 3\n\nT755 is ground\nX2617 is free\nX2618 is free\nX2619 is free\nquot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757) !=? quot(0, s(X2617), s(X2618), X2619)", fontsize=16, style=filled, fillcolor=lightyellow];
2606 [label="2606: eq(T764, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2607 [label="2607: eq(T764, 0), SCOPE: 185, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2613 [label="2613: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2614 [label="2614: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2615 [label="2615: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2617 [label="2617: quot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757), SCOPE: 184, CLAUSE: 3\n\nT755 is ground\nX2617 is free\nX2618 is free\nX2619 is free\nquot(T755, s(s(s(s(0)))), s(s(s(s(s(s(0)))))), T757) !=? quot(0, s(X2617), s(X2618), X2619)", fontsize=16, style=filled, fillcolor=lightyellow];
2627 [label="2627: ','(p(s(s(s(s(0)))), X2639), quot(T773, X2639, s(s(s(s(s(s(0)))))), T775))\n\nT773 is ground\nX2639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2628 [label="2628: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2632 [label="2632: ','(p(s(s(s(s(0)))), X2639), quot(T773, X2639, s(s(s(s(s(s(0)))))), T775)), SCOPE: 186, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X2639), quot(T773, X2639, s(s(s(s(s(s(0)))))), T775)), SCOPE: 186, CLAUSE: 5\n\nT773 is ground\nX2639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2633 [label="2633: ','(p(s(s(s(s(0)))), X2639), quot(T773, X2639, s(s(s(s(s(s(0)))))), T775)), SCOPE: 186, CLAUSE: 5\n\nT773 is ground\nX2639 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2635 [label="2635: quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775)\n\nT773 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2637 [label="2637: quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 1 | quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 2 | quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 3\n\nT773 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2649 [label="2649: ','(!_187, eq(T782, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2650 [label="2650: quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 2 | quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 3\n\nT773 is ground\nX2659 is free\nX2660 is free\nX2661 is free\nquot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775) !=? quot(0, s(X2659), s(X2660), X2661)", fontsize=16, style=filled, fillcolor=lightyellow];
2651 [label="2651: eq(T782, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2652 [label="2652: eq(T782, 0), SCOPE: 188, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2654 [label="2654: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2655 [label="2655: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2656 [label="2656: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2657 [label="2657: quot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775), SCOPE: 187, CLAUSE: 3\n\nT773 is ground\nX2659 is free\nX2660 is free\nX2661 is free\nquot(T773, s(s(s(0))), s(s(s(s(s(s(0)))))), T775) !=? quot(0, s(X2659), s(X2660), X2661)", fontsize=16, style=filled, fillcolor=lightyellow];
2661 [label="2661: ','(p(s(s(s(0))), X2681), quot(T791, X2681, s(s(s(s(s(s(0)))))), T793))\n\nT791 is ground\nX2681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2662 [label="2662: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2667 [label="2667: ','(p(s(s(s(0))), X2681), quot(T791, X2681, s(s(s(s(s(s(0)))))), T793)), SCOPE: 189, CLAUSE: 4 | ','(p(s(s(s(0))), X2681), quot(T791, X2681, s(s(s(s(s(s(0)))))), T793)), SCOPE: 189, CLAUSE: 5\n\nT791 is ground\nX2681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2668 [label="2668: ','(p(s(s(s(0))), X2681), quot(T791, X2681, s(s(s(s(s(s(0)))))), T793)), SCOPE: 189, CLAUSE: 5\n\nT791 is ground\nX2681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2674 [label="2674: quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793)\n\nT791 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2687 [label="2687: quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 1 | quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 2 | quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 3\n\nT791 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2692 [label="2692: ','(!_190, eq(T800, 0)) | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2693 [label="2693: quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 2 | quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 3\n\nT791 is ground\nX2701 is free\nX2702 is free\nX2703 is free\nquot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793) !=? quot(0, s(X2701), s(X2702), X2703)", fontsize=16, style=filled, fillcolor=lightyellow];
2694 [label="2694: eq(T800, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2695 [label="2695: eq(T800, 0), SCOPE: 191, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2697 [label="2697: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2698 [label="2698: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2699 [label="2699: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2702 [label="2702: quot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793), SCOPE: 190, CLAUSE: 3\n\nT791 is ground\nX2701 is free\nX2702 is free\nX2703 is free\nquot(T791, s(s(0)), s(s(s(s(s(s(0)))))), T793) !=? quot(0, s(X2701), s(X2702), X2703)", fontsize=16, style=filled, fillcolor=lightyellow];
2708 [label="2708: ','(p(s(s(0)), X2723), quot(T809, X2723, s(s(s(s(s(s(0)))))), T811))\n\nT809 is ground\nX2723 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2709 [label="2709: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2713 [label="2713: ','(p(s(s(0)), X2723), quot(T809, X2723, s(s(s(s(s(s(0)))))), T811)), SCOPE: 192, CLAUSE: 4 | ','(p(s(s(0)), X2723), quot(T809, X2723, s(s(s(s(s(s(0)))))), T811)), SCOPE: 192, CLAUSE: 5\n\nT809 is ground\nX2723 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2714 [label="2714: ','(p(s(s(0)), X2723), quot(T809, X2723, s(s(s(s(s(s(0)))))), T811)), SCOPE: 192, CLAUSE: 5\n\nT809 is ground\nX2723 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2717 [label="2717: quot(T809, s(0), s(s(s(s(s(s(0)))))), T811)\n\nT809 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2719 [label="2719: quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 1 | quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 2 | quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 3\n\nT809 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2727 [label="2727: ','(!_193, eq(T818, 0)) | quot(0, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2728 [label="2728: quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 2 | quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 3\n\nT809 is ground\nX2743 is free\nX2744 is free\nX2745 is free\nquot(T809, s(0), s(s(s(s(s(s(0)))))), T811) !=? quot(0, s(X2743), s(X2744), X2745)", fontsize=16, style=filled, fillcolor=lightyellow];
2729 [label="2729: eq(T818, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2730 [label="2730: eq(T818, 0), SCOPE: 194, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2734 [label="2734: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2735 [label="2735: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2736 [label="2736: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2737 [label="2737: quot(T809, s(0), s(s(s(s(s(s(0)))))), T811), SCOPE: 193, CLAUSE: 3\n\nT809 is ground\nX2743 is free\nX2744 is free\nX2745 is free\nquot(T809, s(0), s(s(s(s(s(s(0)))))), T811) !=? quot(0, s(X2743), s(X2744), X2745)", fontsize=16, style=filled, fillcolor=lightyellow];
2753 [label="2753: ','(p(s(0), X2765), quot(T827, X2765, s(s(s(s(s(s(0)))))), T829))\n\nT827 is ground\nX2765 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2754 [label="2754: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2758 [label="2758: ','(p(s(0), X2765), quot(T827, X2765, s(s(s(s(s(s(0)))))), T829)), SCOPE: 195, CLAUSE: 4 | ','(p(s(0), X2765), quot(T827, X2765, s(s(s(s(s(s(0)))))), T829)), SCOPE: 195, CLAUSE: 5\n\nT827 is ground\nX2765 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2759 [label="2759: ','(p(s(0), X2765), quot(T827, X2765, s(s(s(s(s(s(0)))))), T829)), SCOPE: 195, CLAUSE: 5\n\nT827 is ground\nX2765 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2764 [label="Z: quot(T827, 0, s(s(s(s(s(s(0)))))), T829)\n\nT827 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2777 [label="2777: quot(T827, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 1 | quot(T827, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 2 | quot(T827, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 3\n\nT827 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2778 [label="2778: quot(T827, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 2 | quot(T827, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 3\n\nT827 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2785 [label="2785: ','(!_196, ','(eq(s(s(s(s(s(s(0)))))), s(X2793)), ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)))) | quot(T836, 0, s(s(s(s(s(s(0)))))), T829), SCOPE: 196, CLAUSE: 3\n\nT836 is ground\nX2793 is free\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2786 [label="2786: ','(eq(s(s(s(s(s(s(0)))))), s(X2793)), ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)))\n\nT836 is ground\nX2793 is free\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2789 [label="2789: ','(eq(s(s(s(s(s(s(0)))))), s(X2793)), ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794))), SCOPE: 197, CLAUSE: 6\n\nT836 is ground\nX2793 is free\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2795 [label="2795: ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794))\n\nT836 is ground\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2800 [label="2800: ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)), SCOPE: 198, CLAUSE: 4 | ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)), SCOPE: 198, CLAUSE: 5\n\nT836 is ground\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2801 [label="2801: ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)), SCOPE: 198, CLAUSE: 4\n\nT836 is ground\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2802 [label="2802: ','(p(T838, X2794), quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X2794)), SCOPE: 198, CLAUSE: 5\n\nT836 is ground\nX2794 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2803 [label="2803: quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)\n\nT836 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2804 [label="2804: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2811 [label="2811: quot(T836, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), T842)\n\nT836 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2812 [label="2812: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2824 [label="2824: ','(p(T851, X2832), quot(T850, X2832, s(s(s(s(s(s(T851)))))), T853))\n\nT850 is ground\nT851 is ground\nX2832 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2825 [label="2825: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2829 [label="2829: ','(p(T851, X2832), quot(T850, X2832, s(s(s(s(s(s(T851)))))), T853)), SCOPE: 199, CLAUSE: 4 | ','(p(T851, X2832), quot(T850, X2832, s(s(s(s(s(s(T851)))))), T853)), SCOPE: 199, CLAUSE: 5\n\nT850 is ground\nT851 is ground\nX2832 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2830 [label="2830: ','(p(T851, X2832), quot(T850, X2832, s(s(s(s(s(s(T851)))))), T853)), SCOPE: 199, CLAUSE: 4\n\nT850 is ground\nT851 is ground\nX2832 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2831 [label="2831: ','(p(T851, X2832), quot(T850, X2832, s(s(s(s(s(s(T851)))))), T853)), SCOPE: 199, CLAUSE: 5\n\nT850 is ground\nT851 is ground\nX2832 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2834 [label="2834: quot(T850, 0, s(s(s(s(s(s(0)))))), T853)\n\nT850 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2835 [label="2835: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2843 [label="2843: quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853)\n\nT850 is ground\nT858 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2844 [label="2844: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2854 [label="2854: quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 1 | quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 2 | quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 3\n\nT850 is ground\nT858 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2861 [label="2861: ','(!_200, eq(T867, 0)) | quot(0, s(T865), s(s(s(s(s(s(s(s(T865)))))))), T853), SCOPE: 200, CLAUSE: 2 | quot(0, s(T865), s(s(s(s(s(s(s(s(T865)))))))), T853), SCOPE: 200, CLAUSE: 3\n\nT865 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2862 [label="2862: quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 2 | quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 3\n\nT850 is ground\nT858 is ground\nX2852 is free\nX2853 is free\nX2854 is free\nquot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853) !=? quot(0, s(X2852), s(X2853), X2854)", fontsize=16, style=filled, fillcolor=lightyellow];
2863 [label="2863: eq(T867, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2864 [label="2864: eq(T867, 0), SCOPE: 201, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2865 [label="2865: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2866 [label="2866: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2867 [label="2867: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2876 [label="2876: quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 2\n\nT850 is ground\nT858 is ground\nX2852 is free\nX2853 is free\nX2854 is free\nquot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853) !=? quot(0, s(X2852), s(X2853), X2854)", fontsize=16, style=filled, fillcolor=lightyellow];
2877 [label="2877: quot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853), SCOPE: 200, CLAUSE: 3\n\nT850 is ground\nT858 is ground\nX2852 is free\nX2853 is free\nX2854 is free\nquot(T850, T858, s(s(s(s(s(s(s(T858))))))), T853) !=? quot(0, s(X2852), s(X2853), X2854)", fontsize=16, style=filled, fillcolor=lightyellow];
2881 [label="2881: ','(!_200, ','(eq(s(s(s(s(s(s(s(0))))))), s(X2877)), ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878))))\n\nT879 is ground\nX2877 is free\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2882 [label="2882: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2883 [label="2883: ','(eq(s(s(s(s(s(s(s(0))))))), s(X2877)), ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878)))\n\nT879 is ground\nX2877 is free\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2885 [label="2885: ','(eq(s(s(s(s(s(s(s(0))))))), s(X2877)), ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878))), SCOPE: 202, CLAUSE: 6\n\nT879 is ground\nX2877 is free\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2893 [label="2893: ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878))\n\nT879 is ground\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2896 [label="2896: ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878)), SCOPE: 203, CLAUSE: 4 | ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878)), SCOPE: 203, CLAUSE: 5\n\nT879 is ground\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2900 [label="2900: ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878)), SCOPE: 203, CLAUSE: 4\n\nT879 is ground\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2901 [label="2901: ','(p(T881, X2878), quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X2878)), SCOPE: 203, CLAUSE: 5\n\nT879 is ground\nX2878 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2902 [label="N1: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT879 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2903 [label="2903: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2906 [label="2906: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 1 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 2 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 3\n\nT879 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2907 [label="2907: ','(!_204, eq(0, 0)) | quot(0, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 2 | quot(0, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2909 [label="2909: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 2 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 3\n\nT879 is ground\nX2903 is free\nX2904 is free\nX2905 is free\nquot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2903), s(X2904), X2905)", fontsize=16, style=filled, fillcolor=lightyellow];
2911 [label="2911: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2913 [label="2913: eq(0, 0), SCOPE: 205, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2915 [label="2915: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2916 [label="2916: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2921 [label="2921: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 204, CLAUSE: 3\n\nT879 is ground\nX2903 is free\nX2904 is free\nX2905 is free\nquot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2903), s(X2904), X2905)", fontsize=16, style=filled, fillcolor=lightyellow];
2925 [label="2925: ','(p(s(s(s(s(s(s(s(0))))))), X2925), quot(T885, X2925, s(s(s(s(s(s(s(0))))))), 0))\n\nT885 is ground\nX2925 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2926 [label="2926: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2928 [label="2928: ','(p(s(s(s(s(s(s(s(0))))))), X2925), quot(T885, X2925, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 206, CLAUSE: 4 | ','(p(s(s(s(s(s(s(s(0))))))), X2925), quot(T885, X2925, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 206, CLAUSE: 5\n\nT885 is ground\nX2925 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2929 [label="2929: ','(p(s(s(s(s(s(s(s(0))))))), X2925), quot(T885, X2925, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 206, CLAUSE: 5\n\nT885 is ground\nX2925 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2934 [label="2934: quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT885 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2945 [label="2945: quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 1 | quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 2 | quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 3\n\nT885 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2946 [label="2946: ','(!_207, eq(0, 0)) | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2947 [label="2947: quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 2 | quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 3\n\nT885 is ground\nX2945 is free\nX2946 is free\nX2947 is free\nquot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2945), s(X2946), X2947)", fontsize=16, style=filled, fillcolor=lightyellow];
2948 [label="2948: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2949 [label="2949: eq(0, 0), SCOPE: 208, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2952 [label="2952: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2953 [label="2953: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2958 [label="2958: quot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 207, CLAUSE: 3\n\nT885 is ground\nX2945 is free\nX2946 is free\nX2947 is free\nquot(T885, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2945), s(X2946), X2947)", fontsize=16, style=filled, fillcolor=lightyellow];
2964 [label="2964: ','(p(s(s(s(s(s(s(0)))))), X2967), quot(T889, X2967, s(s(s(s(s(s(s(0))))))), 0))\n\nT889 is ground\nX2967 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2965 [label="2965: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2967 [label="2967: ','(p(s(s(s(s(s(s(0)))))), X2967), quot(T889, X2967, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 209, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X2967), quot(T889, X2967, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 209, CLAUSE: 5\n\nT889 is ground\nX2967 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2968 [label="2968: ','(p(s(s(s(s(s(s(0)))))), X2967), quot(T889, X2967, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 209, CLAUSE: 5\n\nT889 is ground\nX2967 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2973 [label="2973: quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT889 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2984 [label="2984: quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 1 | quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 2 | quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 3\n\nT889 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
2987 [label="2987: ','(!_210, eq(0, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2988 [label="2988: quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 2 | quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 3\n\nT889 is ground\nX2987 is free\nX2988 is free\nX2989 is free\nquot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2987), s(X2988), X2989)", fontsize=16, style=filled, fillcolor=lightyellow];
2989 [label="2989: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2990 [label="2990: eq(0, 0), SCOPE: 211, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2993 [label="2993: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2994 [label="2994: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
2996 [label="2996: quot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 210, CLAUSE: 3\n\nT889 is ground\nX2987 is free\nX2988 is free\nX2989 is free\nquot(T889, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X2987), s(X2988), X2989)", fontsize=16, style=filled, fillcolor=lightyellow];
2998 [label="2998: ','(p(s(s(s(s(s(0))))), X3009), quot(T893, X3009, s(s(s(s(s(s(s(0))))))), 0))\n\nT893 is ground\nX3009 is free", fontsize=16, style=filled, fillcolor=lightyellow];
2999 [label="2999: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3004 [label="3004: ','(p(s(s(s(s(s(0))))), X3009), quot(T893, X3009, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 212, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X3009), quot(T893, X3009, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 212, CLAUSE: 5\n\nT893 is ground\nX3009 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3005 [label="3005: ','(p(s(s(s(s(s(0))))), X3009), quot(T893, X3009, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 212, CLAUSE: 5\n\nT893 is ground\nX3009 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3013 [label="3013: quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0)\n\nT893 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3014 [label="3014: quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 1 | quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 2 | quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 3\n\nT893 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3018 [label="3018: ','(!_213, eq(0, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3019 [label="3019: quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 2 | quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 3\n\nT893 is ground\nX3029 is free\nX3030 is free\nX3031 is free\nquot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3029), s(X3030), X3031)", fontsize=16, style=filled, fillcolor=lightyellow];
3020 [label="3020: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3021 [label="3021: eq(0, 0), SCOPE: 214, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3024 [label="3024: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3025 [label="3025: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3026 [label="3026: quot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 213, CLAUSE: 3\n\nT893 is ground\nX3029 is free\nX3030 is free\nX3031 is free\nquot(T893, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3029), s(X3030), X3031)", fontsize=16, style=filled, fillcolor=lightyellow];
3034 [label="3034: ','(p(s(s(s(s(0)))), X3051), quot(T897, X3051, s(s(s(s(s(s(s(0))))))), 0))\n\nT897 is ground\nX3051 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3035 [label="3035: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3038 [label="3038: ','(p(s(s(s(s(0)))), X3051), quot(T897, X3051, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 215, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X3051), quot(T897, X3051, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 215, CLAUSE: 5\n\nT897 is ground\nX3051 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3039 [label="3039: ','(p(s(s(s(s(0)))), X3051), quot(T897, X3051, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 215, CLAUSE: 5\n\nT897 is ground\nX3051 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3045 [label="3045: quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0)\n\nT897 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3049 [label="3049: quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 1 | quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 2 | quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 3\n\nT897 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3052 [label="3052: ','(!_216, eq(0, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3053 [label="3053: quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 2 | quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 3\n\nT897 is ground\nX3071 is free\nX3072 is free\nX3073 is free\nquot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3071), s(X3072), X3073)", fontsize=16, style=filled, fillcolor=lightyellow];
3054 [label="3054: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3055 [label="3055: eq(0, 0), SCOPE: 217, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3060 [label="3060: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3061 [label="3061: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3063 [label="3063: quot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 216, CLAUSE: 3\n\nT897 is ground\nX3071 is free\nX3072 is free\nX3073 is free\nquot(T897, s(s(s(0))), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3071), s(X3072), X3073)", fontsize=16, style=filled, fillcolor=lightyellow];
3069 [label="3069: ','(p(s(s(s(0))), X3093), quot(T901, X3093, s(s(s(s(s(s(s(0))))))), 0))\n\nT901 is ground\nX3093 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3070 [label="3070: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3072 [label="3072: ','(p(s(s(s(0))), X3093), quot(T901, X3093, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 218, CLAUSE: 4 | ','(p(s(s(s(0))), X3093), quot(T901, X3093, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 218, CLAUSE: 5\n\nT901 is ground\nX3093 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3073 [label="3073: ','(p(s(s(s(0))), X3093), quot(T901, X3093, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 218, CLAUSE: 5\n\nT901 is ground\nX3093 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3074 [label="3074: quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0)\n\nT901 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3083 [label="3083: quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 1 | quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 2 | quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 3\n\nT901 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3087 [label="3087: ','(!_219, eq(0, 0)) | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3088 [label="3088: quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 2 | quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 3\n\nT901 is ground\nX3113 is free\nX3114 is free\nX3115 is free\nquot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3113), s(X3114), X3115)", fontsize=16, style=filled, fillcolor=lightyellow];
3089 [label="3089: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3090 [label="3090: eq(0, 0), SCOPE: 220, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3092 [label="3092: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3093 [label="3093: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3096 [label="3096: quot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 219, CLAUSE: 3\n\nT901 is ground\nX3113 is free\nX3114 is free\nX3115 is free\nquot(T901, s(s(0)), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3113), s(X3114), X3115)", fontsize=16, style=filled, fillcolor=lightyellow];
3105 [label="3105: ','(p(s(s(0)), X3135), quot(T905, X3135, s(s(s(s(s(s(s(0))))))), 0))\n\nT905 is ground\nX3135 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3107 [label="3107: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3108 [label="3108: ','(p(s(s(0)), X3135), quot(T905, X3135, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 221, CLAUSE: 4 | ','(p(s(s(0)), X3135), quot(T905, X3135, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 221, CLAUSE: 5\n\nT905 is ground\nX3135 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3109 [label="3109: ','(p(s(s(0)), X3135), quot(T905, X3135, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 221, CLAUSE: 5\n\nT905 is ground\nX3135 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3112 [label="3112: quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0)\n\nT905 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3119 [label="3119: quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 1 | quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 2 | quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 3\n\nT905 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3129 [label="3129: ','(!_222, eq(0, 0)) | quot(0, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3130 [label="3130: quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 2 | quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 3\n\nT905 is ground\nX3155 is free\nX3156 is free\nX3157 is free\nquot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3155), s(X3156), X3157)", fontsize=16, style=filled, fillcolor=lightyellow];
3131 [label="3131: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3132 [label="3132: eq(0, 0), SCOPE: 223, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3133 [label="3133: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3134 [label="3134: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3135 [label="3135: quot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0), SCOPE: 222, CLAUSE: 3\n\nT905 is ground\nX3155 is free\nX3156 is free\nX3157 is free\nquot(T905, s(0), s(s(s(s(s(s(s(0))))))), 0) !=? quot(0, s(X3155), s(X3156), X3157)", fontsize=16, style=filled, fillcolor=lightyellow];
3140 [label="3140: ','(p(s(0), X3177), quot(T909, X3177, s(s(s(s(s(s(s(0))))))), 0))\n\nT909 is ground\nX3177 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3141 [label="3141: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3146 [label="3146: ','(p(s(0), X3177), quot(T909, X3177, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 224, CLAUSE: 4 | ','(p(s(0), X3177), quot(T909, X3177, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 224, CLAUSE: 5\n\nT909 is ground\nX3177 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3147 [label="3147: ','(p(s(0), X3177), quot(T909, X3177, s(s(s(s(s(s(s(0))))))), 0)), SCOPE: 224, CLAUSE: 5\n\nT909 is ground\nX3177 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3150 [label="N2: quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0)\n\nT909 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3154 [label="3154: quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 1 | quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 2 | quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 3\n\nT909 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3155 [label="3155: quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 2 | quot(T909, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 3\n\nT909 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3167 [label="3167: ','(!_225, ','(eq(s(s(s(s(s(s(s(0))))))), s(X3205)), ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)))) | quot(T912, 0, s(s(s(s(s(s(s(0))))))), 0), SCOPE: 225, CLAUSE: 3\n\nT912 is ground\nX3205 is free\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3168 [label="3168: ','(eq(s(s(s(s(s(s(s(0))))))), s(X3205)), ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)))\n\nT912 is ground\nX3205 is free\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3169 [label="3169: ','(eq(s(s(s(s(s(s(s(0))))))), s(X3205)), ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206))), SCOPE: 226, CLAUSE: 6\n\nT912 is ground\nX3205 is free\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3172 [label="3172: ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206))\n\nT912 is ground\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3178 [label="3178: ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)), SCOPE: 227, CLAUSE: 4 | ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)), SCOPE: 227, CLAUSE: 5\n\nT912 is ground\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3179 [label="3179: ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)), SCOPE: 227, CLAUSE: 4\n\nT912 is ground\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3180 [label="3180: ','(p(0, X3206), quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3206)), SCOPE: 227, CLAUSE: 5\n\nT912 is ground\nX3206 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3183 [label="3183: quot(T912, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT912 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3188 [label="3188: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3189 [label="N3: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916)\n\nT879 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3190 [label="3190: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3193 [label="3193: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 1 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 2 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 3\n\nT879 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3205 [label="3205: ','(!_228, eq(T921, 0)) | quot(0, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 2 | quot(0, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3207 [label="3207: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 2 | quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 3\n\nT879 is ground\nX3244 is free\nX3245 is free\nX3246 is free\nquot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916) !=? quot(0, s(X3244), s(X3245), X3246)", fontsize=16, style=filled, fillcolor=lightyellow];
3208 [label="3208: eq(T921, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3209 [label="3209: eq(T921, 0), SCOPE: 229, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3213 [label="3213: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3214 [label="3214: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3215 [label="3215: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3217 [label="3217: quot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916), SCOPE: 228, CLAUSE: 3\n\nT879 is ground\nX3244 is free\nX3245 is free\nX3246 is free\nquot(T879, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T916) !=? quot(0, s(X3244), s(X3245), X3246)", fontsize=16, style=filled, fillcolor=lightyellow];
3222 [label="3222: ','(p(s(s(s(s(s(s(s(0))))))), X3266), quot(T930, X3266, s(s(s(s(s(s(s(0))))))), T932))\n\nT930 is ground\nX3266 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3223 [label="3223: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3226 [label="3226: ','(p(s(s(s(s(s(s(s(0))))))), X3266), quot(T930, X3266, s(s(s(s(s(s(s(0))))))), T932)), SCOPE: 230, CLAUSE: 4 | ','(p(s(s(s(s(s(s(s(0))))))), X3266), quot(T930, X3266, s(s(s(s(s(s(s(0))))))), T932)), SCOPE: 230, CLAUSE: 5\n\nT930 is ground\nX3266 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3228 [label="3228: ','(p(s(s(s(s(s(s(s(0))))))), X3266), quot(T930, X3266, s(s(s(s(s(s(s(0))))))), T932)), SCOPE: 230, CLAUSE: 5\n\nT930 is ground\nX3266 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3231 [label="3231: quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932)\n\nT930 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3234 [label="3234: quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 1 | quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 2 | quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 3\n\nT930 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3244 [label="3244: ','(!_231, eq(T939, 0)) | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 2 | quot(0, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3245 [label="3245: quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 2 | quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 3\n\nT930 is ground\nX3286 is free\nX3287 is free\nX3288 is free\nquot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932) !=? quot(0, s(X3286), s(X3287), X3288)", fontsize=16, style=filled, fillcolor=lightyellow];
3246 [label="3246: eq(T939, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3247 [label="3247: eq(T939, 0), SCOPE: 232, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3252 [label="3252: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3253 [label="3253: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3254 [label="3254: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3258 [label="3258: quot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932), SCOPE: 231, CLAUSE: 3\n\nT930 is ground\nX3286 is free\nX3287 is free\nX3288 is free\nquot(T930, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(0))))))), T932) !=? quot(0, s(X3286), s(X3287), X3288)", fontsize=16, style=filled, fillcolor=lightyellow];
3266 [label="3266: ','(p(s(s(s(s(s(s(0)))))), X3308), quot(T948, X3308, s(s(s(s(s(s(s(0))))))), T950))\n\nT948 is ground\nX3308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3267 [label="3267: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3271 [label="3271: ','(p(s(s(s(s(s(s(0)))))), X3308), quot(T948, X3308, s(s(s(s(s(s(s(0))))))), T950)), SCOPE: 233, CLAUSE: 4 | ','(p(s(s(s(s(s(s(0)))))), X3308), quot(T948, X3308, s(s(s(s(s(s(s(0))))))), T950)), SCOPE: 233, CLAUSE: 5\n\nT948 is ground\nX3308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3272 [label="3272: ','(p(s(s(s(s(s(s(0)))))), X3308), quot(T948, X3308, s(s(s(s(s(s(s(0))))))), T950)), SCOPE: 233, CLAUSE: 5\n\nT948 is ground\nX3308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3275 [label="3275: quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950)\n\nT948 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3276 [label="3276: quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 1 | quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 2 | quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 3\n\nT948 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3285 [label="3285: ','(!_234, eq(T957, 0)) | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 2 | quot(0, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3286 [label="3286: quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 2 | quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 3\n\nT948 is ground\nX3328 is free\nX3329 is free\nX3330 is free\nquot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950) !=? quot(0, s(X3328), s(X3329), X3330)", fontsize=16, style=filled, fillcolor=lightyellow];
3287 [label="3287: eq(T957, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3288 [label="3288: eq(T957, 0), SCOPE: 235, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3290 [label="3290: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3291 [label="3291: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3292 [label="3292: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3297 [label="3297: quot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950), SCOPE: 234, CLAUSE: 3\n\nT948 is ground\nX3328 is free\nX3329 is free\nX3330 is free\nquot(T948, s(s(s(s(s(0))))), s(s(s(s(s(s(s(0))))))), T950) !=? quot(0, s(X3328), s(X3329), X3330)", fontsize=16, style=filled, fillcolor=lightyellow];
3306 [label="3306: ','(p(s(s(s(s(s(0))))), X3350), quot(T966, X3350, s(s(s(s(s(s(s(0))))))), T968))\n\nT966 is ground\nX3350 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3307 [label="3307: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3310 [label="3310: ','(p(s(s(s(s(s(0))))), X3350), quot(T966, X3350, s(s(s(s(s(s(s(0))))))), T968)), SCOPE: 236, CLAUSE: 4 | ','(p(s(s(s(s(s(0))))), X3350), quot(T966, X3350, s(s(s(s(s(s(s(0))))))), T968)), SCOPE: 236, CLAUSE: 5\n\nT966 is ground\nX3350 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3312 [label="3312: ','(p(s(s(s(s(s(0))))), X3350), quot(T966, X3350, s(s(s(s(s(s(s(0))))))), T968)), SCOPE: 236, CLAUSE: 5\n\nT966 is ground\nX3350 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3315 [label="3315: quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968)\n\nT966 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3318 [label="3318: quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 1 | quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 2 | quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 3\n\nT966 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3328 [label="3328: ','(!_237, eq(T975, 0)) | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 2 | quot(0, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3329 [label="3329: quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 2 | quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 3\n\nT966 is ground\nX3370 is free\nX3371 is free\nX3372 is free\nquot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968) !=? quot(0, s(X3370), s(X3371), X3372)", fontsize=16, style=filled, fillcolor=lightyellow];
3330 [label="3330: eq(T975, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3331 [label="3331: eq(T975, 0), SCOPE: 238, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3336 [label="3336: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3337 [label="3337: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3338 [label="3338: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3342 [label="3342: quot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968), SCOPE: 237, CLAUSE: 3\n\nT966 is ground\nX3370 is free\nX3371 is free\nX3372 is free\nquot(T966, s(s(s(s(0)))), s(s(s(s(s(s(s(0))))))), T968) !=? quot(0, s(X3370), s(X3371), X3372)", fontsize=16, style=filled, fillcolor=lightyellow];
3348 [label="3348: ','(p(s(s(s(s(0)))), X3392), quot(T984, X3392, s(s(s(s(s(s(s(0))))))), T986))\n\nT984 is ground\nX3392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3350 [label="3350: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3354 [label="3354: ','(p(s(s(s(s(0)))), X3392), quot(T984, X3392, s(s(s(s(s(s(s(0))))))), T986)), SCOPE: 239, CLAUSE: 4 | ','(p(s(s(s(s(0)))), X3392), quot(T984, X3392, s(s(s(s(s(s(s(0))))))), T986)), SCOPE: 239, CLAUSE: 5\n\nT984 is ground\nX3392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3356 [label="3356: ','(p(s(s(s(s(0)))), X3392), quot(T984, X3392, s(s(s(s(s(s(s(0))))))), T986)), SCOPE: 239, CLAUSE: 5\n\nT984 is ground\nX3392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3358 [label="3358: quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986)\n\nT984 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3360 [label="3360: quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 1 | quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 2 | quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 3\n\nT984 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3370 [label="3370: ','(!_240, eq(T993, 0)) | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 2 | quot(0, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3371 [label="3371: quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 2 | quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 3\n\nT984 is ground\nX3412 is free\nX3413 is free\nX3414 is free\nquot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986) !=? quot(0, s(X3412), s(X3413), X3414)", fontsize=16, style=filled, fillcolor=lightyellow];
3372 [label="3372: eq(T993, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3373 [label="3373: eq(T993, 0), SCOPE: 241, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3378 [label="3378: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3379 [label="3379: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3380 [label="3380: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3384 [label="3384: quot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986), SCOPE: 240, CLAUSE: 3\n\nT984 is ground\nX3412 is free\nX3413 is free\nX3414 is free\nquot(T984, s(s(s(0))), s(s(s(s(s(s(s(0))))))), T986) !=? quot(0, s(X3412), s(X3413), X3414)", fontsize=16, style=filled, fillcolor=lightyellow];
3390 [label="3390: ','(p(s(s(s(0))), X3434), quot(T1002, X3434, s(s(s(s(s(s(s(0))))))), T1004))\n\nT1002 is ground\nX3434 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3391 [label="3391: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3395 [label="3395: ','(p(s(s(s(0))), X3434), quot(T1002, X3434, s(s(s(s(s(s(s(0))))))), T1004)), SCOPE: 242, CLAUSE: 4 | ','(p(s(s(s(0))), X3434), quot(T1002, X3434, s(s(s(s(s(s(s(0))))))), T1004)), SCOPE: 242, CLAUSE: 5\n\nT1002 is ground\nX3434 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3396 [label="3396: ','(p(s(s(s(0))), X3434), quot(T1002, X3434, s(s(s(s(s(s(s(0))))))), T1004)), SCOPE: 242, CLAUSE: 5\n\nT1002 is ground\nX3434 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3399 [label="3399: quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004)\n\nT1002 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3403 [label="3403: quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 1 | quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 2 | quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 3\n\nT1002 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3407 [label="3407: ','(!_243, eq(T1011, 0)) | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 2 | quot(0, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3408 [label="3408: quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 2 | quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 3\n\nT1002 is ground\nX3454 is free\nX3455 is free\nX3456 is free\nquot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004) !=? quot(0, s(X3454), s(X3455), X3456)", fontsize=16, style=filled, fillcolor=lightyellow];
3409 [label="3409: eq(T1011, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3410 [label="3410: eq(T1011, 0), SCOPE: 244, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3416 [label="3416: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3417 [label="3417: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3418 [label="3418: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3419 [label="3419: quot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004), SCOPE: 243, CLAUSE: 3\n\nT1002 is ground\nX3454 is free\nX3455 is free\nX3456 is free\nquot(T1002, s(s(0)), s(s(s(s(s(s(s(0))))))), T1004) !=? quot(0, s(X3454), s(X3455), X3456)", fontsize=16, style=filled, fillcolor=lightyellow];
3430 [label="3430: ','(p(s(s(0)), X3476), quot(T1020, X3476, s(s(s(s(s(s(s(0))))))), T1022))\n\nT1020 is ground\nX3476 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3431 [label="3431: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3434 [label="3434: ','(p(s(s(0)), X3476), quot(T1020, X3476, s(s(s(s(s(s(s(0))))))), T1022)), SCOPE: 245, CLAUSE: 4 | ','(p(s(s(0)), X3476), quot(T1020, X3476, s(s(s(s(s(s(s(0))))))), T1022)), SCOPE: 245, CLAUSE: 5\n\nT1020 is ground\nX3476 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3436 [label="3436: ','(p(s(s(0)), X3476), quot(T1020, X3476, s(s(s(s(s(s(s(0))))))), T1022)), SCOPE: 245, CLAUSE: 5\n\nT1020 is ground\nX3476 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3440 [label="3440: quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022)\n\nT1020 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3442 [label="3442: quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 1 | quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 2 | quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 3\n\nT1020 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3446 [label="3446: ','(!_246, eq(T1029, 0)) | quot(0, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 2 | quot(0, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3447 [label="3447: quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 2 | quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 3\n\nT1020 is ground\nX3496 is free\nX3497 is free\nX3498 is free\nquot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022) !=? quot(0, s(X3496), s(X3497), X3498)", fontsize=16, style=filled, fillcolor=lightyellow];
3449 [label="3449: eq(T1029, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3451 [label="3451: eq(T1029, 0), SCOPE: 247, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3459 [label="3459: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3460 [label="3460: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3461 [label="3461: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3465 [label="3465: quot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022), SCOPE: 246, CLAUSE: 3\n\nT1020 is ground\nX3496 is free\nX3497 is free\nX3498 is free\nquot(T1020, s(0), s(s(s(s(s(s(s(0))))))), T1022) !=? quot(0, s(X3496), s(X3497), X3498)", fontsize=16, style=filled, fillcolor=lightyellow];
3469 [label="3469: ','(p(s(0), X3518), quot(T1038, X3518, s(s(s(s(s(s(s(0))))))), T1040))\n\nT1038 is ground\nX3518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3470 [label="3470: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3474 [label="3474: ','(p(s(0), X3518), quot(T1038, X3518, s(s(s(s(s(s(s(0))))))), T1040)), SCOPE: 248, CLAUSE: 4 | ','(p(s(0), X3518), quot(T1038, X3518, s(s(s(s(s(s(s(0))))))), T1040)), SCOPE: 248, CLAUSE: 5\n\nT1038 is ground\nX3518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3475 [label="3475: ','(p(s(0), X3518), quot(T1038, X3518, s(s(s(s(s(s(s(0))))))), T1040)), SCOPE: 248, CLAUSE: 5\n\nT1038 is ground\nX3518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3478 [label="N4: quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040)\n\nT1038 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3481 [label="3481: quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 1 | quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 2 | quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 3\n\nT1038 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3482 [label="3482: quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 2 | quot(T1038, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 3\n\nT1038 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3492 [label="3492: ','(!_249, ','(eq(s(s(s(s(s(s(s(0))))))), s(X3546)), ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)))) | quot(T1047, 0, s(s(s(s(s(s(s(0))))))), T1040), SCOPE: 249, CLAUSE: 3\n\nT1047 is ground\nX3546 is free\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3493 [label="3493: ','(eq(s(s(s(s(s(s(s(0))))))), s(X3546)), ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)))\n\nT1047 is ground\nX3546 is free\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3494 [label="3494: ','(eq(s(s(s(s(s(s(s(0))))))), s(X3546)), ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547))), SCOPE: 250, CLAUSE: 6\n\nT1047 is ground\nX3546 is free\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3500 [label="3500: ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547))\n\nT1047 is ground\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3501 [label="3501: ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)), SCOPE: 251, CLAUSE: 4 | ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)), SCOPE: 251, CLAUSE: 5\n\nT1047 is ground\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3502 [label="3502: ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)), SCOPE: 251, CLAUSE: 4\n\nT1047 is ground\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3503 [label="3503: ','(p(T1049, X3547), quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X3547)), SCOPE: 251, CLAUSE: 5\n\nT1047 is ground\nX3547 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3504 [label="3504: quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT1047 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3505 [label="3505: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3516 [label="3516: quot(T1047, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), T1053)\n\nT1047 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3517 [label="3517: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3527 [label="3527: ','(p(T1062, X3585), quot(T1061, X3585, s(s(s(s(s(s(s(T1062))))))), T1064))\n\nT1061 is ground\nT1062 is ground\nX3585 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3528 [label="3528: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3533 [label="3533: ','(p(T1062, X3585), quot(T1061, X3585, s(s(s(s(s(s(s(T1062))))))), T1064)), SCOPE: 252, CLAUSE: 4 | ','(p(T1062, X3585), quot(T1061, X3585, s(s(s(s(s(s(s(T1062))))))), T1064)), SCOPE: 252, CLAUSE: 5\n\nT1061 is ground\nT1062 is ground\nX3585 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3534 [label="3534: ','(p(T1062, X3585), quot(T1061, X3585, s(s(s(s(s(s(s(T1062))))))), T1064)), SCOPE: 252, CLAUSE: 4\n\nT1061 is ground\nT1062 is ground\nX3585 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3535 [label="3535: ','(p(T1062, X3585), quot(T1061, X3585, s(s(s(s(s(s(s(T1062))))))), T1064)), SCOPE: 252, CLAUSE: 5\n\nT1061 is ground\nT1062 is ground\nX3585 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3536 [label="3536: quot(T1061, 0, s(s(s(s(s(s(s(0))))))), T1064)\n\nT1061 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3537 [label="3537: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3548 [label="3548: quot(T1061, T1069, s(s(s(s(s(s(s(s(T1069)))))))), T1064)\n\nT1061 is ground\nT1069 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3549 [label="3549: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3553 [label="N5: quot(T1061, T1069, s(T1072), T1064)\n\nT1061 is ground\nT1069 is ground\nT1072 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3557 [label="3557: quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 1 | quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 2 | quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 3\n\nT1061 is ground\nT1069 is ground\nT1072 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3559 [label="3559: ','(!_253, eq(T1085, 0)) | quot(0, s(T1082), s(T1083), T1064), SCOPE: 253, CLAUSE: 2 | quot(0, s(T1082), s(T1083), T1064), SCOPE: 253, CLAUSE: 3\n\nT1082 is ground\nT1083 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3560 [label="3560: quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 2 | quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 3\n\nT1061 is ground\nT1069 is ground\nT1072 is ground\nX3608 is free\nX3609 is free\nX3610 is free\nquot(T1061, T1069, s(T1072), T1064) !=? quot(0, s(X3608), s(X3609), X3610)", fontsize=16, style=filled, fillcolor=lightyellow];
3561 [label="3561: eq(T1085, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3562 [label="3562: eq(T1085, 0), SCOPE: 254, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3564 [label="3564: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3565 [label="3565: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3566 [label="3566: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3573 [label="3573: quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 2\n\nT1061 is ground\nT1069 is ground\nT1072 is ground\nX3608 is free\nX3609 is free\nX3610 is free\nquot(T1061, T1069, s(T1072), T1064) !=? quot(0, s(X3608), s(X3609), X3610)", fontsize=16, style=filled, fillcolor=lightyellow];
3574 [label="3574: quot(T1061, T1069, s(T1072), T1064), SCOPE: 253, CLAUSE: 3\n\nT1061 is ground\nT1069 is ground\nT1072 is ground\nX3608 is free\nX3609 is free\nX3610 is free\nquot(T1061, T1069, s(T1072), T1064) !=? quot(0, s(X3608), s(X3609), X3610)", fontsize=16, style=filled, fillcolor=lightyellow];
3578 [label="3578: ','(!_253, ','(eq(s(T1102), s(X3633)), ','(p(T1104, X3634), quot(T1101, s(T1102), s(T1102), X3634))))\n\nT1101 is ground\nT1102 is ground\nX3633 is free\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3579 [label="3579: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3580 [label="3580: ','(eq(s(T1102), s(X3633)), ','(p(T1104, X3634), quot(T1101, s(T1102), s(T1102), X3634)))\n\nT1101 is ground\nT1102 is ground\nX3633 is free\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3584 [label="3584: ','(eq(s(T1102), s(X3633)), ','(p(T1104, X3634), quot(T1101, s(T1102), s(T1102), X3634))), SCOPE: 255, CLAUSE: 6\n\nT1101 is ground\nT1102 is ground\nX3633 is free\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3588 [label="3588: ','(p(T1104, X3634), quot(T1101, s(T1109), s(T1109), X3634))\n\nT1101 is ground\nT1109 is ground\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3590 [label="3590: ','(p(T1104, X3634), quot(T1101, s(T1109), s(T1109), X3634)), SCOPE: 256, CLAUSE: 4 | ','(p(T1104, X3634), quot(T1101, s(T1109), s(T1109), X3634)), SCOPE: 256, CLAUSE: 5\n\nT1101 is ground\nT1109 is ground\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3591 [label="3591: ','(p(T1104, X3634), quot(T1101, s(T1109), s(T1109), X3634)), SCOPE: 256, CLAUSE: 4\n\nT1101 is ground\nT1109 is ground\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3592 [label="3592: ','(p(T1104, X3634), quot(T1101, s(T1109), s(T1109), X3634)), SCOPE: 256, CLAUSE: 5\n\nT1101 is ground\nT1109 is ground\nX3634 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3593 [label="N6: quot(T1101, s(T1109), s(T1109), 0)\n\nT1101 is ground\nT1109 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3594 [label="3594: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3605 [label="3605: quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 1 | quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 2 | quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 3\n\nT1101 is ground\nT1109 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3609 [label="3609: ','(!_257, eq(0, 0)) | quot(0, s(T1114), s(T1114), 0), SCOPE: 257, CLAUSE: 2 | quot(0, s(T1114), s(T1114), 0), SCOPE: 257, CLAUSE: 3\n\nT1114 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3610 [label="3610: quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 2 | quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 3\n\nT1101 is ground\nT1109 is ground\nX3659 is free\nX3660 is free\nX3661 is free\nquot(T1101, s(T1109), s(T1109), 0) !=? quot(0, s(X3659), s(X3660), X3661)", fontsize=16, style=filled, fillcolor=lightyellow];
3611 [label="3611: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3612 [label="3612: eq(0, 0), SCOPE: 258, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3613 [label="3613: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3614 [label="3614: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3617 [label="3617: quot(T1101, s(T1109), s(T1109), 0), SCOPE: 257, CLAUSE: 3\n\nT1101 is ground\nT1109 is ground\nX3659 is free\nX3660 is free\nX3661 is free\nquot(T1101, s(T1109), s(T1109), 0) !=? quot(0, s(X3659), s(X3660), X3661)", fontsize=16, style=filled, fillcolor=lightyellow];
3627 [label="3627: ','(p(s(T1121), X3681), quot(T1120, X3681, s(T1121), 0))\n\nT1120 is ground\nT1121 is ground\nX3681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3628 [label="3628: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3632 [label="3632: ','(p(s(T1121), X3681), quot(T1120, X3681, s(T1121), 0)), SCOPE: 259, CLAUSE: 4 | ','(p(s(T1121), X3681), quot(T1120, X3681, s(T1121), 0)), SCOPE: 259, CLAUSE: 5\n\nT1120 is ground\nT1121 is ground\nX3681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3634 [label="3634: ','(p(s(T1121), X3681), quot(T1120, X3681, s(T1121), 0)), SCOPE: 259, CLAUSE: 5\n\nT1120 is ground\nT1121 is ground\nX3681 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3640 [label="3640: quot(T1120, T1126, s(T1126), 0)\n\nT1120 is ground\nT1126 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3646 [label="3646: quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 1 | quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 2 | quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 3\n\nT1120 is ground\nT1126 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3656 [label="3656: ','(!_260, eq(0, 0)) | quot(0, s(T1130), s(s(T1130)), 0), SCOPE: 260, CLAUSE: 2 | quot(0, s(T1130), s(s(T1130)), 0), SCOPE: 260, CLAUSE: 3\n\nT1130 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3658 [label="3658: quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 2 | quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 3\n\nT1120 is ground\nT1126 is ground\nX3701 is free\nX3702 is free\nX3703 is free\nquot(T1120, T1126, s(T1126), 0) !=? quot(0, s(X3701), s(X3702), X3703)", fontsize=16, style=filled, fillcolor=lightyellow];
3659 [label="3659: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3660 [label="3660: eq(0, 0), SCOPE: 261, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3662 [label="3662: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3663 [label="3663: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3664 [label="3664: quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 2\n\nT1120 is ground\nT1126 is ground\nX3701 is free\nX3702 is free\nX3703 is free\nquot(T1120, T1126, s(T1126), 0) !=? quot(0, s(X3701), s(X3702), X3703)", fontsize=16, style=filled, fillcolor=lightyellow];
3665 [label="3665: quot(T1120, T1126, s(T1126), 0), SCOPE: 260, CLAUSE: 3\n\nT1120 is ground\nT1126 is ground\nX3701 is free\nX3702 is free\nX3703 is free\nquot(T1120, T1126, s(T1126), 0) !=? quot(0, s(X3701), s(X3702), X3703)", fontsize=16, style=filled, fillcolor=lightyellow];
3675 [label="3675: ','(!_260, ','(eq(s(0), s(X3726)), ','(p(0, X3727), quot(T1135, s(0), s(0), X3727))))\n\nT1135 is ground\nX3726 is free\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3676 [label="3676: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3677 [label="3677: ','(eq(s(0), s(X3726)), ','(p(0, X3727), quot(T1135, s(0), s(0), X3727)))\n\nT1135 is ground\nX3726 is free\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3680 [label="3680: ','(eq(s(0), s(X3726)), ','(p(0, X3727), quot(T1135, s(0), s(0), X3727))), SCOPE: 262, CLAUSE: 6\n\nT1135 is ground\nX3726 is free\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3684 [label="3684: ','(p(0, X3727), quot(T1135, s(0), s(0), X3727))\n\nT1135 is ground\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3686 [label="3686: ','(p(0, X3727), quot(T1135, s(0), s(0), X3727)), SCOPE: 263, CLAUSE: 4 | ','(p(0, X3727), quot(T1135, s(0), s(0), X3727)), SCOPE: 263, CLAUSE: 5\n\nT1135 is ground\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3688 [label="3688: ','(p(0, X3727), quot(T1135, s(0), s(0), X3727)), SCOPE: 263, CLAUSE: 4\n\nT1135 is ground\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3689 [label="3689: ','(p(0, X3727), quot(T1135, s(0), s(0), X3727)), SCOPE: 263, CLAUSE: 5\n\nT1135 is ground\nX3727 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3690 [label="3690: quot(T1135, s(0), s(0), 0)\n\nT1135 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3697 [label="3697: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3707 [label="3707: ','(p(T1141, X3766), quot(T1140, X3766, s(T1141), 0))\n\nT1140 is ground\nT1141 is ground\nX3766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3708 [label="3708: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3712 [label="3712: ','(p(T1141, X3766), quot(T1140, X3766, s(T1141), 0)), SCOPE: 264, CLAUSE: 4 | ','(p(T1141, X3766), quot(T1140, X3766, s(T1141), 0)), SCOPE: 264, CLAUSE: 5\n\nT1140 is ground\nT1141 is ground\nX3766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3713 [label="3713: ','(p(T1141, X3766), quot(T1140, X3766, s(T1141), 0)), SCOPE: 264, CLAUSE: 4\n\nT1140 is ground\nT1141 is ground\nX3766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3714 [label="3714: ','(p(T1141, X3766), quot(T1140, X3766, s(T1141), 0)), SCOPE: 264, CLAUSE: 5\n\nT1140 is ground\nT1141 is ground\nX3766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3715 [label="3715: quot(T1140, 0, s(0), 0)\n\nT1140 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3716 [label="3716: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3723 [label="3723: quot(T1140, T1145, s(s(T1145)), 0)\n\nT1140 is ground\nT1145 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3724 [label="3724: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3732 [label="3732: quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 1 | quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 2 | quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 3\n\nT1140 is ground\nT1145 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3736 [label="3736: ','(!_265, eq(0, 0)) | quot(0, s(T1149), s(s(s(T1149))), 0), SCOPE: 265, CLAUSE: 2 | quot(0, s(T1149), s(s(s(T1149))), 0), SCOPE: 265, CLAUSE: 3\n\nT1149 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3737 [label="3737: quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 2 | quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 3\n\nT1140 is ground\nT1145 is ground\nX3786 is free\nX3787 is free\nX3788 is free\nquot(T1140, T1145, s(s(T1145)), 0) !=? quot(0, s(X3786), s(X3787), X3788)", fontsize=16, style=filled, fillcolor=lightyellow];
3739 [label="3739: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3741 [label="3741: eq(0, 0), SCOPE: 266, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3742 [label="3742: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3743 [label="3743: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3746 [label="3746: quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 2\n\nT1140 is ground\nT1145 is ground\nX3786 is free\nX3787 is free\nX3788 is free\nquot(T1140, T1145, s(s(T1145)), 0) !=? quot(0, s(X3786), s(X3787), X3788)", fontsize=16, style=filled, fillcolor=lightyellow];
3748 [label="3748: quot(T1140, T1145, s(s(T1145)), 0), SCOPE: 265, CLAUSE: 3\n\nT1140 is ground\nT1145 is ground\nX3786 is free\nX3787 is free\nX3788 is free\nquot(T1140, T1145, s(s(T1145)), 0) !=? quot(0, s(X3786), s(X3787), X3788)", fontsize=16, style=filled, fillcolor=lightyellow];
3760 [label="3760: ','(!_265, ','(eq(s(s(0)), s(X3811)), ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812))))\n\nT1154 is ground\nX3811 is free\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3761 [label="3761: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3762 [label="3762: ','(eq(s(s(0)), s(X3811)), ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812)))\n\nT1154 is ground\nX3811 is free\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3763 [label="3763: ','(eq(s(s(0)), s(X3811)), ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812))), SCOPE: 267, CLAUSE: 6\n\nT1154 is ground\nX3811 is free\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3768 [label="3768: ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812))\n\nT1154 is ground\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3770 [label="3770: ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812)), SCOPE: 268, CLAUSE: 4 | ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812)), SCOPE: 268, CLAUSE: 5\n\nT1154 is ground\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3771 [label="3771: ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812)), SCOPE: 268, CLAUSE: 4\n\nT1154 is ground\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3772 [label="3772: ','(p(0, X3812), quot(T1154, s(s(0)), s(s(0)), X3812)), SCOPE: 268, CLAUSE: 5\n\nT1154 is ground\nX3812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3778 [label="3778: quot(T1154, s(s(0)), s(s(0)), 0)\n\nT1154 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3781 [label="3781: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3794 [label="3794: ','(p(T1160, X3851), quot(T1159, X3851, s(s(T1160)), 0))\n\nT1159 is ground\nT1160 is ground\nX3851 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3795 [label="3795: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3797 [label="3797: ','(p(T1160, X3851), quot(T1159, X3851, s(s(T1160)), 0)), SCOPE: 269, CLAUSE: 4 | ','(p(T1160, X3851), quot(T1159, X3851, s(s(T1160)), 0)), SCOPE: 269, CLAUSE: 5\n\nT1159 is ground\nT1160 is ground\nX3851 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3798 [label="3798: ','(p(T1160, X3851), quot(T1159, X3851, s(s(T1160)), 0)), SCOPE: 269, CLAUSE: 4\n\nT1159 is ground\nT1160 is ground\nX3851 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3799 [label="3799: ','(p(T1160, X3851), quot(T1159, X3851, s(s(T1160)), 0)), SCOPE: 269, CLAUSE: 5\n\nT1159 is ground\nT1160 is ground\nX3851 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3800 [label="3800: quot(T1159, 0, s(s(0)), 0)\n\nT1159 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3801 [label="3801: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3809 [label="3809: quot(T1159, T1164, s(s(s(T1164))), 0)\n\nT1159 is ground\nT1164 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3810 [label="3810: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3812 [label="3812: quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 1 | quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 2 | quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 3\n\nT1159 is ground\nT1164 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3819 [label="3819: ','(!_270, eq(0, 0)) | quot(0, s(T1168), s(s(s(s(T1168)))), 0), SCOPE: 270, CLAUSE: 2 | quot(0, s(T1168), s(s(s(s(T1168)))), 0), SCOPE: 270, CLAUSE: 3\n\nT1168 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3820 [label="3820: quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 2 | quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 3\n\nT1159 is ground\nT1164 is ground\nX3871 is free\nX3872 is free\nX3873 is free\nquot(T1159, T1164, s(s(s(T1164))), 0) !=? quot(0, s(X3871), s(X3872), X3873)", fontsize=16, style=filled, fillcolor=lightyellow];
3821 [label="3821: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3822 [label="3822: eq(0, 0), SCOPE: 271, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3826 [label="3826: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3827 [label="3827: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3828 [label="3828: quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 2\n\nT1159 is ground\nT1164 is ground\nX3871 is free\nX3872 is free\nX3873 is free\nquot(T1159, T1164, s(s(s(T1164))), 0) !=? quot(0, s(X3871), s(X3872), X3873)", fontsize=16, style=filled, fillcolor=lightyellow];
3829 [label="3829: quot(T1159, T1164, s(s(s(T1164))), 0), SCOPE: 270, CLAUSE: 3\n\nT1159 is ground\nT1164 is ground\nX3871 is free\nX3872 is free\nX3873 is free\nquot(T1159, T1164, s(s(s(T1164))), 0) !=? quot(0, s(X3871), s(X3872), X3873)", fontsize=16, style=filled, fillcolor=lightyellow];
3838 [label="3838: ','(!_270, ','(eq(s(s(s(0))), s(X3896)), ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897))))\n\nT1173 is ground\nX3896 is free\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3839 [label="3839: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3842 [label="3842: ','(eq(s(s(s(0))), s(X3896)), ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897)))\n\nT1173 is ground\nX3896 is free\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3844 [label="3844: ','(eq(s(s(s(0))), s(X3896)), ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897))), SCOPE: 272, CLAUSE: 6\n\nT1173 is ground\nX3896 is free\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3848 [label="3848: ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897))\n\nT1173 is ground\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3850 [label="3850: ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897)), SCOPE: 273, CLAUSE: 4 | ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897)), SCOPE: 273, CLAUSE: 5\n\nT1173 is ground\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3854 [label="3854: ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897)), SCOPE: 273, CLAUSE: 4\n\nT1173 is ground\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3855 [label="3855: ','(p(0, X3897), quot(T1173, s(s(s(0))), s(s(s(0))), X3897)), SCOPE: 273, CLAUSE: 5\n\nT1173 is ground\nX3897 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3857 [label="3857: quot(T1173, s(s(s(0))), s(s(s(0))), 0)\n\nT1173 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3863 [label="3863: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3868 [label="3868: ','(p(T1179, X3936), quot(T1178, X3936, s(s(s(T1179))), 0))\n\nT1178 is ground\nT1179 is ground\nX3936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3869 [label="3869: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3872 [label="3872: ','(p(T1179, X3936), quot(T1178, X3936, s(s(s(T1179))), 0)), SCOPE: 274, CLAUSE: 4 | ','(p(T1179, X3936), quot(T1178, X3936, s(s(s(T1179))), 0)), SCOPE: 274, CLAUSE: 5\n\nT1178 is ground\nT1179 is ground\nX3936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3873 [label="3873: ','(p(T1179, X3936), quot(T1178, X3936, s(s(s(T1179))), 0)), SCOPE: 274, CLAUSE: 4\n\nT1178 is ground\nT1179 is ground\nX3936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3874 [label="3874: ','(p(T1179, X3936), quot(T1178, X3936, s(s(s(T1179))), 0)), SCOPE: 274, CLAUSE: 5\n\nT1178 is ground\nT1179 is ground\nX3936 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3875 [label="3875: quot(T1178, 0, s(s(s(0))), 0)\n\nT1178 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3876 [label="3876: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3880 [label="3880: quot(T1178, T1183, s(s(s(s(T1183)))), 0)\n\nT1178 is ground\nT1183 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3881 [label="3881: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3884 [label="3884: quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 1 | quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 2 | quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 3\n\nT1178 is ground\nT1183 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3888 [label="3888: ','(!_275, eq(0, 0)) | quot(0, s(T1187), s(s(s(s(s(T1187))))), 0), SCOPE: 275, CLAUSE: 2 | quot(0, s(T1187), s(s(s(s(s(T1187))))), 0), SCOPE: 275, CLAUSE: 3\n\nT1187 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3889 [label="3889: quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 2 | quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 3\n\nT1178 is ground\nT1183 is ground\nX3956 is free\nX3957 is free\nX3958 is free\nquot(T1178, T1183, s(s(s(s(T1183)))), 0) !=? quot(0, s(X3956), s(X3957), X3958)", fontsize=16, style=filled, fillcolor=lightyellow];
3890 [label="3890: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3891 [label="3891: eq(0, 0), SCOPE: 276, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3895 [label="3895: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3896 [label="3896: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3900 [label="3900: quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 2\n\nT1178 is ground\nT1183 is ground\nX3956 is free\nX3957 is free\nX3958 is free\nquot(T1178, T1183, s(s(s(s(T1183)))), 0) !=? quot(0, s(X3956), s(X3957), X3958)", fontsize=16, style=filled, fillcolor=lightyellow];
3901 [label="3901: quot(T1178, T1183, s(s(s(s(T1183)))), 0), SCOPE: 275, CLAUSE: 3\n\nT1178 is ground\nT1183 is ground\nX3956 is free\nX3957 is free\nX3958 is free\nquot(T1178, T1183, s(s(s(s(T1183)))), 0) !=? quot(0, s(X3956), s(X3957), X3958)", fontsize=16, style=filled, fillcolor=lightyellow];
3912 [label="3912: ','(!_275, ','(eq(s(s(s(s(0)))), s(X3981)), ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982))))\n\nT1192 is ground\nX3981 is free\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3913 [label="3913: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3914 [label="3914: ','(eq(s(s(s(s(0)))), s(X3981)), ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982)))\n\nT1192 is ground\nX3981 is free\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3915 [label="3915: ','(eq(s(s(s(s(0)))), s(X3981)), ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982))), SCOPE: 277, CLAUSE: 6\n\nT1192 is ground\nX3981 is free\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3922 [label="3922: ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982))\n\nT1192 is ground\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3927 [label="3927: ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982)), SCOPE: 278, CLAUSE: 4 | ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982)), SCOPE: 278, CLAUSE: 5\n\nT1192 is ground\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3935 [label="3935: ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982)), SCOPE: 278, CLAUSE: 4\n\nT1192 is ground\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3936 [label="3936: ','(p(0, X3982), quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), X3982)), SCOPE: 278, CLAUSE: 5\n\nT1192 is ground\nX3982 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3938 [label="3938: quot(T1192, s(s(s(s(0)))), s(s(s(s(0)))), 0)\n\nT1192 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3940 [label="3940: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3943 [label="3943: ','(p(T1198, X4021), quot(T1197, X4021, s(s(s(s(T1198)))), 0))\n\nT1197 is ground\nT1198 is ground\nX4021 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3944 [label="3944: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3948 [label="3948: ','(p(T1198, X4021), quot(T1197, X4021, s(s(s(s(T1198)))), 0)), SCOPE: 279, CLAUSE: 4 | ','(p(T1198, X4021), quot(T1197, X4021, s(s(s(s(T1198)))), 0)), SCOPE: 279, CLAUSE: 5\n\nT1197 is ground\nT1198 is ground\nX4021 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3949 [label="3949: ','(p(T1198, X4021), quot(T1197, X4021, s(s(s(s(T1198)))), 0)), SCOPE: 279, CLAUSE: 4\n\nT1197 is ground\nT1198 is ground\nX4021 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3950 [label="3950: ','(p(T1198, X4021), quot(T1197, X4021, s(s(s(s(T1198)))), 0)), SCOPE: 279, CLAUSE: 5\n\nT1197 is ground\nT1198 is ground\nX4021 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3951 [label="3951: quot(T1197, 0, s(s(s(s(0)))), 0)\n\nT1197 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3952 [label="3952: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3962 [label="3962: quot(T1197, T1202, s(s(s(s(s(T1202))))), 0)\n\nT1197 is ground\nT1202 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3963 [label="3963: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3968 [label="3968: quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 1 | quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 2 | quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 3\n\nT1197 is ground\nT1202 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3972 [label="3972: ','(!_280, eq(0, 0)) | quot(0, s(T1206), s(s(s(s(s(s(T1206)))))), 0), SCOPE: 280, CLAUSE: 2 | quot(0, s(T1206), s(s(s(s(s(s(T1206)))))), 0), SCOPE: 280, CLAUSE: 3\n\nT1206 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3973 [label="3973: quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 2 | quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 3\n\nT1197 is ground\nT1202 is ground\nX4041 is free\nX4042 is free\nX4043 is free\nquot(T1197, T1202, s(s(s(s(s(T1202))))), 0) !=? quot(0, s(X4041), s(X4042), X4043)", fontsize=16, style=filled, fillcolor=lightyellow];
3974 [label="3974: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3975 [label="3975: eq(0, 0), SCOPE: 281, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3976 [label="3976: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3977 [label="3977: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3988 [label="3988: quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 2\n\nT1197 is ground\nT1202 is ground\nX4041 is free\nX4042 is free\nX4043 is free\nquot(T1197, T1202, s(s(s(s(s(T1202))))), 0) !=? quot(0, s(X4041), s(X4042), X4043)", fontsize=16, style=filled, fillcolor=lightyellow];
3989 [label="3989: quot(T1197, T1202, s(s(s(s(s(T1202))))), 0), SCOPE: 280, CLAUSE: 3\n\nT1197 is ground\nT1202 is ground\nX4041 is free\nX4042 is free\nX4043 is free\nquot(T1197, T1202, s(s(s(s(s(T1202))))), 0) !=? quot(0, s(X4041), s(X4042), X4043)", fontsize=16, style=filled, fillcolor=lightyellow];
3996 [label="3996: ','(!_280, ','(eq(s(s(s(s(s(0))))), s(X4066)), ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067))))\n\nT1211 is ground\nX4066 is free\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
3997 [label="3997: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3998 [label="3998: ','(eq(s(s(s(s(s(0))))), s(X4066)), ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067)))\n\nT1211 is ground\nX4066 is free\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4003 [label="4003: ','(eq(s(s(s(s(s(0))))), s(X4066)), ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067))), SCOPE: 282, CLAUSE: 6\n\nT1211 is ground\nX4066 is free\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4006 [label="4006: ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067))\n\nT1211 is ground\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4007 [label="4007: ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067)), SCOPE: 283, CLAUSE: 4 | ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067)), SCOPE: 283, CLAUSE: 5\n\nT1211 is ground\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4009 [label="4009: ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067)), SCOPE: 283, CLAUSE: 4\n\nT1211 is ground\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4010 [label="4010: ','(p(0, X4067), quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), X4067)), SCOPE: 283, CLAUSE: 5\n\nT1211 is ground\nX4067 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4014 [label="4014: quot(T1211, s(s(s(s(s(0))))), s(s(s(s(s(0))))), 0)\n\nT1211 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4023 [label="4023: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4027 [label="4027: ','(p(T1217, X4106), quot(T1216, X4106, s(s(s(s(s(T1217))))), 0))\n\nT1216 is ground\nT1217 is ground\nX4106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4028 [label="4028: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4029 [label="4029: ','(p(T1217, X4106), quot(T1216, X4106, s(s(s(s(s(T1217))))), 0)), SCOPE: 284, CLAUSE: 4 | ','(p(T1217, X4106), quot(T1216, X4106, s(s(s(s(s(T1217))))), 0)), SCOPE: 284, CLAUSE: 5\n\nT1216 is ground\nT1217 is ground\nX4106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4030 [label="4030: ','(p(T1217, X4106), quot(T1216, X4106, s(s(s(s(s(T1217))))), 0)), SCOPE: 284, CLAUSE: 4\n\nT1216 is ground\nT1217 is ground\nX4106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4031 [label="4031: ','(p(T1217, X4106), quot(T1216, X4106, s(s(s(s(s(T1217))))), 0)), SCOPE: 284, CLAUSE: 5\n\nT1216 is ground\nT1217 is ground\nX4106 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4032 [label="4032: quot(T1216, 0, s(s(s(s(s(0))))), 0)\n\nT1216 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4034 [label="4034: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4046 [label="4046: quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0)\n\nT1216 is ground\nT1221 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4047 [label="4047: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4052 [label="4052: quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 1 | quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 2 | quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 3\n\nT1216 is ground\nT1221 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4056 [label="4056: ','(!_285, eq(0, 0)) | quot(0, s(T1225), s(s(s(s(s(s(s(T1225))))))), 0), SCOPE: 285, CLAUSE: 2 | quot(0, s(T1225), s(s(s(s(s(s(s(T1225))))))), 0), SCOPE: 285, CLAUSE: 3\n\nT1225 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4057 [label="4057: quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 2 | quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 3\n\nT1216 is ground\nT1221 is ground\nX4126 is free\nX4127 is free\nX4128 is free\nquot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0) !=? quot(0, s(X4126), s(X4127), X4128)", fontsize=16, style=filled, fillcolor=lightyellow];
4058 [label="4058: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4059 [label="4059: eq(0, 0), SCOPE: 286, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4060 [label="4060: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4061 [label="4061: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4065 [label="4065: quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 2\n\nT1216 is ground\nT1221 is ground\nX4126 is free\nX4127 is free\nX4128 is free\nquot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0) !=? quot(0, s(X4126), s(X4127), X4128)", fontsize=16, style=filled, fillcolor=lightyellow];
4066 [label="4066: quot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0), SCOPE: 285, CLAUSE: 3\n\nT1216 is ground\nT1221 is ground\nX4126 is free\nX4127 is free\nX4128 is free\nquot(T1216, T1221, s(s(s(s(s(s(T1221)))))), 0) !=? quot(0, s(X4126), s(X4127), X4128)", fontsize=16, style=filled, fillcolor=lightyellow];
4075 [label="4075: ','(!_285, ','(eq(s(s(s(s(s(s(0)))))), s(X4151)), ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152))))\n\nT1230 is ground\nX4151 is free\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4076 [label="4076: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4077 [label="4077: ','(eq(s(s(s(s(s(s(0)))))), s(X4151)), ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152)))\n\nT1230 is ground\nX4151 is free\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4083 [label="4083: ','(eq(s(s(s(s(s(s(0)))))), s(X4151)), ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152))), SCOPE: 287, CLAUSE: 6\n\nT1230 is ground\nX4151 is free\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4085 [label="4085: ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152))\n\nT1230 is ground\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4086 [label="4086: ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152)), SCOPE: 288, CLAUSE: 4 | ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152)), SCOPE: 288, CLAUSE: 5\n\nT1230 is ground\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4091 [label="4091: ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152)), SCOPE: 288, CLAUSE: 4\n\nT1230 is ground\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4092 [label="4092: ','(p(0, X4152), quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), X4152)), SCOPE: 288, CLAUSE: 5\n\nT1230 is ground\nX4152 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4094 [label="4094: quot(T1230, s(s(s(s(s(s(0)))))), s(s(s(s(s(s(0)))))), 0)\n\nT1230 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4095 [label="4095: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4108 [label="4108: ','(p(T1236, X4191), quot(T1235, X4191, s(s(s(s(s(s(T1236)))))), 0))\n\nT1235 is ground\nT1236 is ground\nX4191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4110 [label="4110: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4111 [label="4111: ','(p(T1236, X4191), quot(T1235, X4191, s(s(s(s(s(s(T1236)))))), 0)), SCOPE: 289, CLAUSE: 4 | ','(p(T1236, X4191), quot(T1235, X4191, s(s(s(s(s(s(T1236)))))), 0)), SCOPE: 289, CLAUSE: 5\n\nT1235 is ground\nT1236 is ground\nX4191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4112 [label="4112: ','(p(T1236, X4191), quot(T1235, X4191, s(s(s(s(s(s(T1236)))))), 0)), SCOPE: 289, CLAUSE: 4\n\nT1235 is ground\nT1236 is ground\nX4191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4113 [label="4113: ','(p(T1236, X4191), quot(T1235, X4191, s(s(s(s(s(s(T1236)))))), 0)), SCOPE: 289, CLAUSE: 5\n\nT1235 is ground\nT1236 is ground\nX4191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4114 [label="4114: quot(T1235, 0, s(s(s(s(s(s(0)))))), 0)\n\nT1235 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4115 [label="4115: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4126 [label="4126: quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0)\n\nT1235 is ground\nT1240 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4127 [label="4127: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4132 [label="4132: quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 1 | quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 2 | quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 3\n\nT1235 is ground\nT1240 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4140 [label="4140: ','(!_290, eq(0, 0)) | quot(0, s(T1244), s(s(s(s(s(s(s(s(T1244)))))))), 0), SCOPE: 290, CLAUSE: 2 | quot(0, s(T1244), s(s(s(s(s(s(s(s(T1244)))))))), 0), SCOPE: 290, CLAUSE: 3\n\nT1244 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4141 [label="4141: quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 2 | quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 3\n\nT1235 is ground\nT1240 is ground\nX4211 is free\nX4212 is free\nX4213 is free\nquot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0) !=? quot(0, s(X4211), s(X4212), X4213)", fontsize=16, style=filled, fillcolor=lightyellow];
4142 [label="4142: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4143 [label="4143: eq(0, 0), SCOPE: 291, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4144 [label="4144: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4145 [label="4145: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4147 [label="4147: quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 2\n\nT1235 is ground\nT1240 is ground\nX4211 is free\nX4212 is free\nX4213 is free\nquot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0) !=? quot(0, s(X4211), s(X4212), X4213)", fontsize=16, style=filled, fillcolor=lightyellow];
4149 [label="4149: quot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0), SCOPE: 290, CLAUSE: 3\n\nT1235 is ground\nT1240 is ground\nX4211 is free\nX4212 is free\nX4213 is free\nquot(T1235, T1240, s(s(s(s(s(s(s(T1240))))))), 0) !=? quot(0, s(X4211), s(X4212), X4213)", fontsize=16, style=filled, fillcolor=lightyellow];
4158 [label="4158: ','(!_290, ','(eq(s(s(s(s(s(s(s(0))))))), s(X4236)), ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237))))\n\nT1249 is ground\nX4236 is free\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4159 [label="4159: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4160 [label="4160: ','(eq(s(s(s(s(s(s(s(0))))))), s(X4236)), ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237)))\n\nT1249 is ground\nX4236 is free\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4164 [label="4164: ','(eq(s(s(s(s(s(s(s(0))))))), s(X4236)), ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237))), SCOPE: 292, CLAUSE: 6\n\nT1249 is ground\nX4236 is free\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4168 [label="4168: ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237))\n\nT1249 is ground\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4171 [label="4171: ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237)), SCOPE: 293, CLAUSE: 4 | ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237)), SCOPE: 293, CLAUSE: 5\n\nT1249 is ground\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4172 [label="4172: ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237)), SCOPE: 293, CLAUSE: 4\n\nT1249 is ground\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4173 [label="4173: ','(p(0, X4237), quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), X4237)), SCOPE: 293, CLAUSE: 5\n\nT1249 is ground\nX4237 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4175 [label="4175: quot(T1249, s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(0))))))), 0)\n\nT1249 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4180 [label="4180: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4192 [label="4192: ','(p(T1255, X4276), quot(T1254, X4276, s(s(s(s(s(s(s(T1255))))))), 0))\n\nT1254 is ground\nT1255 is ground\nX4276 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4193 [label="4193: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4195 [label="4195: ','(p(T1255, X4276), quot(T1254, X4276, s(s(s(s(s(s(s(T1255))))))), 0)), SCOPE: 294, CLAUSE: 4 | ','(p(T1255, X4276), quot(T1254, X4276, s(s(s(s(s(s(s(T1255))))))), 0)), SCOPE: 294, CLAUSE: 5\n\nT1254 is ground\nT1255 is ground\nX4276 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4196 [label="4196: ','(p(T1255, X4276), quot(T1254, X4276, s(s(s(s(s(s(s(T1255))))))), 0)), SCOPE: 294, CLAUSE: 4\n\nT1254 is ground\nT1255 is ground\nX4276 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4197 [label="4197: ','(p(T1255, X4276), quot(T1254, X4276, s(s(s(s(s(s(s(T1255))))))), 0)), SCOPE: 294, CLAUSE: 5\n\nT1254 is ground\nT1255 is ground\nX4276 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4198 [label="4198: quot(T1254, 0, s(s(s(s(s(s(s(0))))))), 0)\n\nT1254 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4199 [label="4199: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4203 [label="4203: quot(T1254, T1259, s(s(s(s(s(s(s(s(T1259)))))))), 0)\n\nT1254 is ground\nT1259 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4204 [label="4204: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4208 [label="N7: quot(T1254, T1259, s(T1261), 0)\n\nT1254 is ground\nT1259 is ground\nT1261 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4220 [label="4220: quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 1 | quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 2 | quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 3\n\nT1254 is ground\nT1259 is ground\nT1261 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4225 [label="4225: ','(!_295, eq(0, 0)) | quot(0, s(T1268), s(T1269), 0), SCOPE: 295, CLAUSE: 2 | quot(0, s(T1268), s(T1269), 0), SCOPE: 295, CLAUSE: 3\n\nT1268 is ground\nT1269 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4226 [label="4226: quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 2 | quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 3\n\nT1254 is ground\nT1259 is ground\nT1261 is ground\nX4299 is free\nX4300 is free\nX4301 is free\nquot(T1254, T1259, s(T1261), 0) !=? quot(0, s(X4299), s(X4300), X4301)", fontsize=16, style=filled, fillcolor=lightyellow];
4227 [label="4227: eq(0, 0)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4228 [label="4228: eq(0, 0), SCOPE: 296, CLAUSE: 6\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4229 [label="4229: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4230 [label="4230: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4238 [label="4238: quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 2\n\nT1254 is ground\nT1259 is ground\nT1261 is ground\nX4299 is free\nX4300 is free\nX4301 is free\nquot(T1254, T1259, s(T1261), 0) !=? quot(0, s(X4299), s(X4300), X4301)", fontsize=16, style=filled, fillcolor=lightyellow];
4239 [label="4239: quot(T1254, T1259, s(T1261), 0), SCOPE: 295, CLAUSE: 3\n\nT1254 is ground\nT1259 is ground\nT1261 is ground\nX4299 is free\nX4300 is free\nX4301 is free\nquot(T1254, T1259, s(T1261), 0) !=? quot(0, s(X4299), s(X4300), X4301)", fontsize=16, style=filled, fillcolor=lightyellow];
4246 [label="4246: ','(!_295, ','(eq(s(T1279), s(X4324)), ','(p(0, X4325), quot(T1278, s(T1279), s(T1279), X4325))))\n\nT1278 is ground\nT1279 is ground\nX4324 is free\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4247 [label="4247: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4248 [label="4248: ','(eq(s(T1279), s(X4324)), ','(p(0, X4325), quot(T1278, s(T1279), s(T1279), X4325)))\n\nT1278 is ground\nT1279 is ground\nX4324 is free\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4253 [label="4253: ','(eq(s(T1279), s(X4324)), ','(p(0, X4325), quot(T1278, s(T1279), s(T1279), X4325))), SCOPE: 297, CLAUSE: 6\n\nT1278 is ground\nT1279 is ground\nX4324 is free\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4256 [label="4256: ','(p(0, X4325), quot(T1278, s(T1284), s(T1284), X4325))\n\nT1278 is ground\nT1284 is ground\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4259 [label="4259: ','(p(0, X4325), quot(T1278, s(T1284), s(T1284), X4325)), SCOPE: 298, CLAUSE: 4 | ','(p(0, X4325), quot(T1278, s(T1284), s(T1284), X4325)), SCOPE: 298, CLAUSE: 5\n\nT1278 is ground\nT1284 is ground\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4260 [label="4260: ','(p(0, X4325), quot(T1278, s(T1284), s(T1284), X4325)), SCOPE: 298, CLAUSE: 4\n\nT1278 is ground\nT1284 is ground\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4261 [label="4261: ','(p(0, X4325), quot(T1278, s(T1284), s(T1284), X4325)), SCOPE: 298, CLAUSE: 5\n\nT1278 is ground\nT1284 is ground\nX4325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4262 [label="4262: quot(T1278, s(T1284), s(T1284), 0)\n\nT1278 is ground\nT1284 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4272 [label="4272: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4275 [label="4275: ','(p(T1296, X4364), quot(T1295, X4364, s(T1297), 0))\n\nT1295 is ground\nT1296 is ground\nT1297 is ground\nX4364 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4276 [label="4276: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4277 [label="4277: ','(p(T1296, X4364), quot(T1295, X4364, s(T1297), 0)), SCOPE: 299, CLAUSE: 4 | ','(p(T1296, X4364), quot(T1295, X4364, s(T1297), 0)), SCOPE: 299, CLAUSE: 5\n\nT1295 is ground\nT1296 is ground\nT1297 is ground\nX4364 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4278 [label="4278: ','(p(T1296, X4364), quot(T1295, X4364, s(T1297), 0)), SCOPE: 299, CLAUSE: 4\n\nT1295 is ground\nT1296 is ground\nT1297 is ground\nX4364 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4279 [label="4279: ','(p(T1296, X4364), quot(T1295, X4364, s(T1297), 0)), SCOPE: 299, CLAUSE: 5\n\nT1295 is ground\nT1296 is ground\nT1297 is ground\nX4364 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4280 [label="4280: quot(T1295, 0, s(T1297), 0)\n\nT1295 is ground\nT1297 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4281 [label="4281: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4290 [label="4290: quot(T1295, 0, s(T1297), 0), SCOPE: 300, CLAUSE: 1 | quot(T1295, 0, s(T1297), 0), SCOPE: 300, CLAUSE: 2 | quot(T1295, 0, s(T1297), 0), SCOPE: 300, CLAUSE: 3\n\nT1295 is ground\nT1297 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4291 [label="4291: quot(T1295, 0, s(T1297), 0), SCOPE: 300, CLAUSE: 2 | quot(T1295, 0, s(T1297), 0), SCOPE: 300, CLAUSE: 3\n\nT1295 is ground\nT1297 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4295 [label="4295: ','(!_300, ','(eq(s(T1304), s(X4386)), ','(p(0, X4387), quot(T1303, s(T1304), s(T1304), X4387)))) | quot(T1303, 0, s(T1304), 0), SCOPE: 300, CLAUSE: 3\n\nT1303 is ground\nT1304 is ground\nX4386 is free\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4296 [label="4296: ','(eq(s(T1304), s(X4386)), ','(p(0, X4387), quot(T1303, s(T1304), s(T1304), X4387)))\n\nT1303 is ground\nT1304 is ground\nX4386 is free\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4301 [label="4301: ','(eq(s(T1304), s(X4386)), ','(p(0, X4387), quot(T1303, s(T1304), s(T1304), X4387))), SCOPE: 301, CLAUSE: 6\n\nT1303 is ground\nT1304 is ground\nX4386 is free\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4307 [label="4307: ','(p(0, X4387), quot(T1303, s(T1309), s(T1309), X4387))\n\nT1303 is ground\nT1309 is ground\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4311 [label="4311: ','(p(0, X4387), quot(T1303, s(T1309), s(T1309), X4387)), SCOPE: 302, CLAUSE: 4 | ','(p(0, X4387), quot(T1303, s(T1309), s(T1309), X4387)), SCOPE: 302, CLAUSE: 5\n\nT1303 is ground\nT1309 is ground\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4317 [label="4317: ','(p(0, X4387), quot(T1303, s(T1309), s(T1309), X4387)), SCOPE: 302, CLAUSE: 4\n\nT1303 is ground\nT1309 is ground\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4318 [label="4318: ','(p(0, X4387), quot(T1303, s(T1309), s(T1309), X4387)), SCOPE: 302, CLAUSE: 5\n\nT1303 is ground\nT1309 is ground\nX4387 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4319 [label="4319: quot(T1303, s(T1309), s(T1309), 0)\n\nT1303 is ground\nT1309 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4326 [label="4326: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4327 [label="4327: quot(T1295, T1316, s(T1297), 0)\n\nT1295 is ground\nT1297 is ground\nT1316 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4328 [label="4328: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4335 [label="4335: quot(T1101, s(T1109), s(T1109), T1322)\n\nT1101 is ground\nT1109 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4336 [label="4336: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4339 [label="4339: ','(p(T1334, X4438), quot(T1333, X4438, s(T1335), T1337))\n\nT1333 is ground\nT1334 is ground\nT1335 is ground\nX4438 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4340 [label="4340: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4341 [label="4341: ','(p(T1334, X4438), quot(T1333, X4438, s(T1335), T1337)), SCOPE: 303, CLAUSE: 4 | ','(p(T1334, X4438), quot(T1333, X4438, s(T1335), T1337)), SCOPE: 303, CLAUSE: 5\n\nT1333 is ground\nT1334 is ground\nT1335 is ground\nX4438 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4343 [label="4343: ','(p(T1334, X4438), quot(T1333, X4438, s(T1335), T1337)), SCOPE: 303, CLAUSE: 4\n\nT1333 is ground\nT1334 is ground\nT1335 is ground\nX4438 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4344 [label="4344: ','(p(T1334, X4438), quot(T1333, X4438, s(T1335), T1337)), SCOPE: 303, CLAUSE: 5\n\nT1333 is ground\nT1334 is ground\nT1335 is ground\nX4438 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4346 [label="4346: quot(T1333, 0, s(T1335), T1337)\n\nT1333 is ground\nT1335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4347 [label="4347: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4353 [label="4353: quot(T1333, 0, s(T1335), T1337), SCOPE: 304, CLAUSE: 1 | quot(T1333, 0, s(T1335), T1337), SCOPE: 304, CLAUSE: 2 | quot(T1333, 0, s(T1335), T1337), SCOPE: 304, CLAUSE: 3\n\nT1333 is ground\nT1335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4354 [label="4354: quot(T1333, 0, s(T1335), T1337), SCOPE: 304, CLAUSE: 2 | quot(T1333, 0, s(T1335), T1337), SCOPE: 304, CLAUSE: 3\n\nT1333 is ground\nT1335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4357 [label="4357: ','(!_304, ','(eq(s(T1348), s(X4460)), ','(p(T1350, X4461), quot(T1347, s(T1348), s(T1348), X4461)))) | quot(T1347, 0, s(T1348), T1337), SCOPE: 304, CLAUSE: 3\n\nT1347 is ground\nT1348 is ground\nX4460 is free\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4358 [label="4358: ','(eq(s(T1348), s(X4460)), ','(p(T1350, X4461), quot(T1347, s(T1348), s(T1348), X4461)))\n\nT1347 is ground\nT1348 is ground\nX4460 is free\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4361 [label="4361: ','(eq(s(T1348), s(X4460)), ','(p(T1350, X4461), quot(T1347, s(T1348), s(T1348), X4461))), SCOPE: 305, CLAUSE: 6\n\nT1347 is ground\nT1348 is ground\nX4460 is free\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4363 [label="4363: ','(p(T1350, X4461), quot(T1347, s(T1355), s(T1355), X4461))\n\nT1347 is ground\nT1355 is ground\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4365 [label="4365: ','(p(T1350, X4461), quot(T1347, s(T1355), s(T1355), X4461)), SCOPE: 306, CLAUSE: 4 | ','(p(T1350, X4461), quot(T1347, s(T1355), s(T1355), X4461)), SCOPE: 306, CLAUSE: 5\n\nT1347 is ground\nT1355 is ground\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4366 [label="4366: ','(p(T1350, X4461), quot(T1347, s(T1355), s(T1355), X4461)), SCOPE: 306, CLAUSE: 4\n\nT1347 is ground\nT1355 is ground\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4367 [label="4367: ','(p(T1350, X4461), quot(T1347, s(T1355), s(T1355), X4461)), SCOPE: 306, CLAUSE: 5\n\nT1347 is ground\nT1355 is ground\nX4461 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4368 [label="4368: quot(T1347, s(T1355), s(T1355), 0)\n\nT1347 is ground\nT1355 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4369 [label="4369: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4374 [label="4374: quot(T1347, s(T1355), s(T1355), T1361)\n\nT1347 is ground\nT1355 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4375 [label="4375: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4379 [label="4379: quot(T1333, T1366, s(T1335), T1337)\n\nT1333 is ground\nT1335 is ground\nT1366 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
4380 [label="4380: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4381 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3 -> 4381 [arrowhead = none ];
4381 -> 6;

4382 [label="ONLY EVAL with clause\ndiv(X5, X6, X7) :- quot(X5, X6, X6, X7).\nand substitutionT1 -> T7,\nX5 -> T7,\nT2 -> T8,\nX6 -> T8,\nT3 -> T10,\nX7 -> T10,\nT9 -> T10", fontsize=14, style = filled, fillcolor = lightblue];
6 -> 4382 [arrowhead = none ];
4382 -> 10;

4383 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
10 -> 4383 [arrowhead = none ];
4383 -> 11;

4384 [label="EVAL with clause\nquot(0, s(X14), s(X15), X16) :- ','(!_2, eq(X16, 0)).\nand substitutionT7 -> 0,\nX14 -> T15,\nT8 -> s(T15),\nX15 -> T15,\nT10 -> T17,\nX16 -> T17,\nT16 -> T17", fontsize=14, style = filled, fillcolor = lightblue];
11 -> 4384 [arrowhead = none ];
4384 -> 12;

4385 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
11 -> 4385 [arrowhead = none ];
4385 -> 13;

4386 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
12 -> 4386 [arrowhead = none ];
4386 -> 17;

4387 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
13 -> 4387 [arrowhead = none ];
4387 -> 34;

4388 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
13 -> 4388 [arrowhead = none ];
4388 -> 36;

4389 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
17 -> 4389 [arrowhead = none ];
4389 -> 20;

4390 [label="EVAL with clause\neq(X19, X19).\nand substitutionT17 -> 0,\nX19 -> 0,\nT20 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
20 -> 4390 [arrowhead = none ];
4390 -> 24;

4391 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
20 -> 4391 [arrowhead = none ];
4391 -> 25;

4392 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
24 -> 4392 [arrowhead = none ];
4392 -> 26;

4393 [label="EVAL with clause\nquot(X36, 0, X37, X38) :- ','(!_2, ','(eq(X37, s(X39)), ','(p(X38, X40), quot(X36, X37, X37, X40)))).\nand substitutionT7 -> T29,\nX36 -> T29,\nT8 -> 0,\nX37 -> 0,\nT10 -> T31,\nX38 -> T31,\nT30 -> T31", fontsize=14, style = filled, fillcolor = lightblue];
34 -> 4393 [arrowhead = none ];
4393 -> 40;

4394 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
34 -> 4394 [arrowhead = none ];
4394 -> 42;

4395 [label="EVAL with clause\nquot(s(X54), X55, X56, X57) :- ','(p(X55, X58), quot(X54, X58, X56, X57)).\nand substitutionX54 -> T38,\nT7 -> s(T38),\nT8 -> T39,\nX55 -> T39,\nX56 -> T39,\nT10 -> T41,\nX57 -> T41,\nT40 -> T41", fontsize=14, style = filled, fillcolor = lightblue];
36 -> 4395 [arrowhead = none ];
4395 -> 55;

4396 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
36 -> 4396 [arrowhead = none ];
4396 -> 56;

4397 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
40 -> 4397 [arrowhead = none ];
4397 -> 43;

4398 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
43 -> 4398 [arrowhead = none ];
4398 -> 47;

4399 [label="BACKTRACK\nfor clause: eq(X, X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
47 -> 4399 [arrowhead = none ];
4399 -> 49;

4400 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
55 -> 4400 [arrowhead = none ];
4400 -> 61;

4401 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
61 -> 4401 [arrowhead = none ];
4401 -> 62;

4402 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
61 -> 4402 [arrowhead = none ];
4402 -> 63;

4403 [label="EVAL with clause\np(0, 0).\nand substitutionT39 -> 0,\nX58 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
62 -> 4403 [arrowhead = none ];
4403 -> 64;

4404 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
62 -> 4404 [arrowhead = none ];
4404 -> 65;

4405 [label="EVAL with clause\np(s(X88), X88).\nand substitutionX88 -> T54,\nT39 -> s(T54),\nX58 -> T54", fontsize=14, style = filled, fillcolor = lightblue];
63 -> 4405 [arrowhead = none ];
4405 -> 91;

4406 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
63 -> 4406 [arrowhead = none ];
4406 -> 92;

4407 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
64 -> 4407 [arrowhead = none ];
4407 -> 71;

4408 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
71 -> 4408 [arrowhead = none ];
4408 -> 77;

4409 [label="ONLY EVAL with clause\nquot(X77, 0, X78, X79) :- ','(!_6, ','(eq(X78, s(X80)), ','(p(X79, X81), quot(X77, X78, X78, X81)))).\nand substitutionT38 -> T49,\nX77 -> T49,\nX78 -> 0,\nT41 -> T51,\nX79 -> T51,\nT50 -> T51", fontsize=14, style = filled, fillcolor = lightblue];
77 -> 4409 [arrowhead = none ];
4409 -> 82;

4410 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
82 -> 4410 [arrowhead = none ];
4410 -> 83;

4411 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
83 -> 4411 [arrowhead = none ];
4411 -> 84;

4412 [label="BACKTRACK\nfor clause: eq(X, X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
84 -> 4412 [arrowhead = none ];
4412 -> 86;

4413 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
91 -> 4413 [arrowhead = none ];
4413 -> 99;

4414 [label="EVAL with clause\nquot(0, s(X98), s(X99), X100) :- ','(!_8, eq(X100, 0)).\nand substitutionT38 -> 0,\nX98 -> T61,\nT54 -> s(T61),\nX99 -> s(T61),\nT41 -> T63,\nX100 -> T63,\nT62 -> T63", fontsize=14, style = filled, fillcolor = lightblue];
99 -> 4414 [arrowhead = none ];
4414 -> 103;

4415 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
99 -> 4415 [arrowhead = none ];
4415 -> 126;

4416 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
103 -> 4416 [arrowhead = none ];
4416 -> 128;

4417 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
126 -> 4417 [arrowhead = none ];
4417 -> 140;

4418 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
126 -> 4418 [arrowhead = none ];
4418 -> 143;

4419 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
128 -> 4419 [arrowhead = none ];
4419 -> 129;

4420 [label="EVAL with clause\neq(X103, X103).\nand substitutionT63 -> 0,\nX103 -> 0,\nT66 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
129 -> 4420 [arrowhead = none ];
4420 -> 132;

4421 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
129 -> 4421 [arrowhead = none ];
4421 -> 134;

4422 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
132 -> 4422 [arrowhead = none ];
4422 -> 135;

4423 [label="EVAL with clause\nquot(X120, 0, X121, X122) :- ','(!_8, ','(eq(X121, s(X123)), ','(p(X122, X124), quot(X120, X121, X121, X124)))).\nand substitutionT38 -> T75,\nX120 -> T75,\nT54 -> 0,\nX121 -> s(0),\nT41 -> T77,\nX122 -> T77,\nT76 -> T77", fontsize=14, style = filled, fillcolor = lightblue];
140 -> 4423 [arrowhead = none ];
4423 -> 169;

4424 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
140 -> 4424 [arrowhead = none ];
4424 -> 170;

4425 [label="EVAL with clause\nquot(s(X323), X324, X325, X326) :- ','(p(X324, X327), quot(X323, X327, X325, X326)).\nand substitutionX323 -> T125,\nT38 -> s(T125),\nT54 -> T126,\nX324 -> T126,\nX325 -> s(T126),\nT41 -> T128,\nX326 -> T128,\nT127 -> T128", fontsize=14, style = filled, fillcolor = lightblue];
143 -> 4425 [arrowhead = none ];
4425 -> 346;

4426 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
143 -> 4426 [arrowhead = none ];
4426 -> 348;

4427 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
169 -> 4427 [arrowhead = none ];
4427 -> 173;

4428 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
173 -> 4428 [arrowhead = none ];
4428 -> 176;

4429 [label="ONLY EVAL with clause\neq(X135, X135).\nand substitutionX135 -> s(0),\nX123 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
176 -> 4429 [arrowhead = none ];
4429 -> 179;

4430 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
179 -> 4430 [arrowhead = none ];
4430 -> 182;

4431 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
182 -> 4431 [arrowhead = none ];
4431 -> 184;

4432 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
182 -> 4432 [arrowhead = none ];
4432 -> 185;

4433 [label="EVAL with clause\np(0, 0).\nand substitutionT77 -> 0,\nX124 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
184 -> 4433 [arrowhead = none ];
4433 -> 193;

4434 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
184 -> 4434 [arrowhead = none ];
4434 -> 194;

4435 [label="EVAL with clause\np(s(X228), X228).\nand substitutionX228 -> T88,\nT77 -> s(T88),\nX124 -> T88,\nT87 -> T88", fontsize=14, style = filled, fillcolor = lightblue];
185 -> 4435 [arrowhead = none ];
4435 -> 279;

4436 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
185 -> 4436 [arrowhead = none ];
4436 -> 280;

4437 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
193 -> 4437 [arrowhead = none ];
4437 -> 198;

4438 [label="EVAL with clause\nquot(0, s(X149), s(X150), X151) :- ','(!_12, eq(X151, 0)).\nand substitutionT75 -> 0,\nX149 -> 0,\nX150 -> 0,\nX151 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
198 -> 4438 [arrowhead = none ];
4438 -> 203;

4439 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
198 -> 4439 [arrowhead = none ];
4439 -> 207;

4440 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
203 -> 4440 [arrowhead = none ];
4440 -> 208;

4441 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
207 -> 4441 [arrowhead = none ];
4441 -> 213;

4442 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
208 -> 4442 [arrowhead = none ];
4442 -> 209;

4443 [label="ONLY EVAL with clause\neq(X154, X154).\nand substitutionX154 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
209 -> 4443 [arrowhead = none ];
4443 -> 211;

4444 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
211 -> 4444 [arrowhead = none ];
4444 -> 212;

4445 [label="EVAL with clause\nquot(s(X167), X168, X169, X170) :- ','(p(X168, X171), quot(X167, X171, X169, X170)).\nand substitutionX167 -> T81,\nT75 -> s(T81),\nX168 -> s(0),\nX169 -> s(0),\nX170 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
213 -> 4445 [arrowhead = none ];
4445 -> 234;

4446 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
213 -> 4446 [arrowhead = none ];
4446 -> 237;

4447 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
234 -> 4447 [arrowhead = none ];
4447 -> 239;

4448 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
239 -> 4448 [arrowhead = none ];
4448 -> 240;

4449 [label="ONLY EVAL with clause\np(s(X181), X181).\nand substitutionX181 -> 0,\nX171 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
240 -> 4449 [arrowhead = none ];
4449 -> 252;

4450 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
252 -> 4450 [arrowhead = none ];
4450 -> 254;

4451 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
254 -> 4451 [arrowhead = none ];
4451 -> 255;

4452 [label="ONLY EVAL with clause\nquot(X196, 0, X197, X198) :- ','(!_15, ','(eq(X197, s(X199)), ','(p(X198, X200), quot(X196, X197, X197, X200)))).\nand substitutionT81 -> T84,\nX196 -> T84,\nX197 -> s(0),\nX198 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
255 -> 4452 [arrowhead = none ];
4452 -> 258;

4453 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
258 -> 4453 [arrowhead = none ];
4453 -> 259;

4454 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
259 -> 4454 [arrowhead = none ];
4454 -> 261;

4455 [label="ONLY EVAL with clause\neq(X211, X211).\nand substitutionX211 -> s(0),\nX199 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
261 -> 4455 [arrowhead = none ];
4455 -> 263;

4456 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
263 -> 4456 [arrowhead = none ];
4456 -> 271;

4457 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
271 -> 4457 [arrowhead = none ];
4457 -> 273;

4458 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
271 -> 4458 [arrowhead = none ];
4458 -> 274;

4459 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX200 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
273 -> 4459 [arrowhead = none ];
4459 -> 275;

4460 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
274 -> 4460 [arrowhead = none ];
4460 -> 277;

4461 [label="INSTANCE with matching:\nT75 -> T84", fontsize=14, style = filled, fillcolor = lightgrey];
275 -> 4461 [arrowhead = none , style=dashed];
4461 -> 193[style=dashed];

4462 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
279 -> 4462 [arrowhead = none ];
4462 -> 284;

4463 [label="EVAL with clause\nquot(0, s(X238), s(X239), X240) :- ','(!_18, eq(X240, 0)).\nand substitutionT75 -> 0,\nX238 -> 0,\nX239 -> 0,\nT88 -> T93,\nX240 -> T93,\nT92 -> T93", fontsize=14, style = filled, fillcolor = lightblue];
284 -> 4463 [arrowhead = none ];
4463 -> 286;

4464 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
284 -> 4464 [arrowhead = none ];
4464 -> 287;

4465 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
286 -> 4465 [arrowhead = none ];
4465 -> 288;

4466 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
287 -> 4466 [arrowhead = none ];
4466 -> 298;

4467 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
288 -> 4467 [arrowhead = none ];
4467 -> 289;

4468 [label="EVAL with clause\neq(X243, X243).\nand substitutionT93 -> 0,\nX243 -> 0,\nT96 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
289 -> 4468 [arrowhead = none ];
4468 -> 294;

4469 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
289 -> 4469 [arrowhead = none ];
4469 -> 296;

4470 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
294 -> 4470 [arrowhead = none ];
4470 -> 297;

4471 [label="EVAL with clause\nquot(s(X256), X257, X258, X259) :- ','(p(X257, X260), quot(X256, X260, X258, X259)).\nand substitutionX256 -> T102,\nT75 -> s(T102),\nX257 -> s(0),\nX258 -> s(0),\nT88 -> T104,\nX259 -> T104,\nT103 -> T104", fontsize=14, style = filled, fillcolor = lightblue];
298 -> 4471 [arrowhead = none ];
4471 -> 301;

4472 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
298 -> 4472 [arrowhead = none ];
4472 -> 302;

4473 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
301 -> 4473 [arrowhead = none ];
4473 -> 303;

4474 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
303 -> 4474 [arrowhead = none ];
4474 -> 305;

4475 [label="ONLY EVAL with clause\np(s(X270), X270).\nand substitutionX270 -> 0,\nX260 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
305 -> 4475 [arrowhead = none ];
4475 -> 307;

4476 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
307 -> 4476 [arrowhead = none ];
4476 -> 313;

4477 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
313 -> 4477 [arrowhead = none ];
4477 -> 314;

4478 [label="ONLY EVAL with clause\nquot(X285, 0, X286, X287) :- ','(!_21, ','(eq(X286, s(X288)), ','(p(X287, X289), quot(X285, X286, X286, X289)))).\nand substitutionT102 -> T111,\nX285 -> T111,\nX286 -> s(0),\nT104 -> T113,\nX287 -> T113,\nT112 -> T113", fontsize=14, style = filled, fillcolor = lightblue];
314 -> 4478 [arrowhead = none ];
4478 -> 322;

4479 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
322 -> 4479 [arrowhead = none ];
4479 -> 323;

4480 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
323 -> 4480 [arrowhead = none ];
4480 -> 324;

4481 [label="ONLY EVAL with clause\neq(X300, X300).\nand substitutionX300 -> s(0),\nX288 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
324 -> 4481 [arrowhead = none ];
4481 -> 325;

4482 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
325 -> 4482 [arrowhead = none ];
4482 -> 328;

4483 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
328 -> 4483 [arrowhead = none ];
4483 -> 329;

4484 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
328 -> 4484 [arrowhead = none ];
4484 -> 330;

4485 [label="EVAL with clause\np(0, 0).\nand substitutionT113 -> 0,\nX289 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
329 -> 4485 [arrowhead = none ];
4485 -> 331;

4486 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
329 -> 4486 [arrowhead = none ];
4486 -> 332;

4487 [label="EVAL with clause\np(s(X310), X310).\nand substitutionX310 -> T117,\nT113 -> s(T117),\nX289 -> T117,\nT116 -> T117", fontsize=14, style = filled, fillcolor = lightblue];
330 -> 4487 [arrowhead = none ];
4487 -> 336;

4488 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
330 -> 4488 [arrowhead = none ];
4488 -> 337;

4489 [label="INSTANCE with matching:\nT75 -> T111", fontsize=14, style = filled, fillcolor = lightgrey];
331 -> 4489 [arrowhead = none , style=dashed];
4489 -> 193[style=dashed];

4490 [label="INSTANCE with matching:\nT75 -> T111\nT88 -> T117", fontsize=14, style = filled, fillcolor = lightgrey];
336 -> 4490 [arrowhead = none , style=dashed];
4490 -> 279[style=dashed];

4491 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
346 -> 4491 [arrowhead = none ];
4491 -> 350;

4492 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
350 -> 4492 [arrowhead = none ];
4492 -> 351;

4493 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
350 -> 4493 [arrowhead = none ];
4493 -> 352;

4494 [label="EVAL with clause\np(0, 0).\nand substitutionT126 -> 0,\nX327 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
351 -> 4494 [arrowhead = none ];
4494 -> 353;

4495 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
351 -> 4495 [arrowhead = none ];
4495 -> 354;

4496 [label="EVAL with clause\np(s(X337), X337).\nand substitutionX337 -> T133,\nT126 -> s(T133),\nX327 -> T133", fontsize=14, style = filled, fillcolor = lightblue];
352 -> 4496 [arrowhead = none ];
4496 -> 358;

4497 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
352 -> 4497 [arrowhead = none ];
4497 -> 359;

4498 [label="INSTANCE with matching:\nT102 -> T125\nT104 -> T128", fontsize=14, style = filled, fillcolor = lightgrey];
353 -> 4498 [arrowhead = none , style=dashed];
4498 -> 307[style=dashed];

4499 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
358 -> 4499 [arrowhead = none ];
4499 -> 371;

4500 [label="EVAL with clause\nquot(0, s(X347), s(X348), X349) :- ','(!_25, eq(X349, 0)).\nand substitutionT125 -> 0,\nX347 -> T140,\nT133 -> s(T140),\nX348 -> s(s(T140)),\nT128 -> T142,\nX349 -> T142,\nT141 -> T142", fontsize=14, style = filled, fillcolor = lightblue];
371 -> 4500 [arrowhead = none ];
4500 -> 373;

4501 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
371 -> 4501 [arrowhead = none ];
4501 -> 375;

4502 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
373 -> 4502 [arrowhead = none ];
4502 -> 377;

4503 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
375 -> 4503 [arrowhead = none ];
4503 -> 391;

4504 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
375 -> 4504 [arrowhead = none ];
4504 -> 393;

4505 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
377 -> 4505 [arrowhead = none ];
4505 -> 379;

4506 [label="EVAL with clause\neq(X352, X352).\nand substitutionT142 -> 0,\nX352 -> 0,\nT145 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
379 -> 4506 [arrowhead = none ];
4506 -> 381;

4507 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
379 -> 4507 [arrowhead = none ];
4507 -> 382;

4508 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
381 -> 4508 [arrowhead = none ];
4508 -> 383;

4509 [label="EVAL with clause\nquot(X369, 0, X370, X371) :- ','(!_25, ','(eq(X370, s(X372)), ','(p(X371, X373), quot(X369, X370, X370, X373)))).\nand substitutionT125 -> T154,\nX369 -> T154,\nT133 -> 0,\nX370 -> s(s(0)),\nT128 -> T156,\nX371 -> T156,\nT155 -> T156", fontsize=14, style = filled, fillcolor = lightblue];
391 -> 4509 [arrowhead = none ];
4509 -> 397;

4510 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
391 -> 4510 [arrowhead = none ];
4510 -> 399;

4511 [label="EVAL with clause\nquot(s(X656), X657, X658, X659) :- ','(p(X657, X660), quot(X656, X660, X658, X659)).\nand substitutionX656 -> T226,\nT125 -> s(T226),\nT133 -> T227,\nX657 -> T227,\nX658 -> s(s(T227)),\nT128 -> T229,\nX659 -> T229,\nT228 -> T229", fontsize=14, style = filled, fillcolor = lightblue];
393 -> 4511 [arrowhead = none ];
4511 -> 718;

4512 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
393 -> 4512 [arrowhead = none ];
4512 -> 719;

4513 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
397 -> 4513 [arrowhead = none ];
4513 -> 401;

4514 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
401 -> 4514 [arrowhead = none ];
4514 -> 402;

4515 [label="ONLY EVAL with clause\neq(X384, X384).\nand substitutionX384 -> s(s(0)),\nX372 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
402 -> 4515 [arrowhead = none ];
4515 -> 405;

4516 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
405 -> 4516 [arrowhead = none ];
4516 -> 407;

4517 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
407 -> 4517 [arrowhead = none ];
4517 -> 424;

4518 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
407 -> 4518 [arrowhead = none ];
4518 -> 425;

4519 [label="EVAL with clause\np(0, 0).\nand substitutionT156 -> 0,\nX373 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
424 -> 4519 [arrowhead = none ];
4519 -> 426;

4520 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
424 -> 4520 [arrowhead = none ];
4520 -> 427;

4521 [label="EVAL with clause\np(s(X519), X519).\nand substitutionX519 -> T171,\nT156 -> s(T171),\nX373 -> T171,\nT170 -> T171", fontsize=14, style = filled, fillcolor = lightblue];
425 -> 4521 [arrowhead = none ];
4521 -> 569;

4522 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
425 -> 4522 [arrowhead = none ];
4522 -> 570;

4523 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
426 -> 4523 [arrowhead = none ];
4523 -> 429;

4524 [label="EVAL with clause\nquot(0, s(X398), s(X399), X400) :- ','(!_29, eq(X400, 0)).\nand substitutionT154 -> 0,\nX398 -> s(0),\nX399 -> s(0),\nX400 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
429 -> 4524 [arrowhead = none ];
4524 -> 433;

4525 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
429 -> 4525 [arrowhead = none ];
4525 -> 434;

4526 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
433 -> 4526 [arrowhead = none ];
4526 -> 435;

4527 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
434 -> 4527 [arrowhead = none ];
4527 -> 440;

4528 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
435 -> 4528 [arrowhead = none ];
4528 -> 437;

4529 [label="ONLY EVAL with clause\neq(X403, X403).\nand substitutionX403 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
437 -> 4529 [arrowhead = none ];
4529 -> 438;

4530 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
438 -> 4530 [arrowhead = none ];
4530 -> 439;

4531 [label="EVAL with clause\nquot(s(X416), X417, X418, X419) :- ','(p(X417, X420), quot(X416, X420, X418, X419)).\nand substitutionX416 -> T160,\nT154 -> s(T160),\nX417 -> s(s(0)),\nX418 -> s(s(0)),\nX419 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
440 -> 4531 [arrowhead = none ];
4531 -> 463;

4532 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
440 -> 4532 [arrowhead = none ];
4532 -> 464;

4533 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
463 -> 4533 [arrowhead = none ];
4533 -> 465;

4534 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
465 -> 4534 [arrowhead = none ];
4534 -> 466;

4535 [label="ONLY EVAL with clause\np(s(X430), X430).\nand substitutionX430 -> s(0),\nX420 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
466 -> 4535 [arrowhead = none ];
4535 -> 468;

4536 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
468 -> 4536 [arrowhead = none ];
4536 -> 473;

4537 [label="EVAL with clause\nquot(0, s(X440), s(X441), X442) :- ','(!_32, eq(X442, 0)).\nand substitutionT160 -> 0,\nX440 -> 0,\nX441 -> s(0),\nX442 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
473 -> 4537 [arrowhead = none ];
4537 -> 474;

4538 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
473 -> 4538 [arrowhead = none ];
4538 -> 476;

4539 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
474 -> 4539 [arrowhead = none ];
4539 -> 477;

4540 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
476 -> 4540 [arrowhead = none ];
4540 -> 487;

4541 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
477 -> 4541 [arrowhead = none ];
4541 -> 478;

4542 [label="ONLY EVAL with clause\neq(X445, X445).\nand substitutionX445 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
478 -> 4542 [arrowhead = none ];
4542 -> 482;

4543 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
482 -> 4543 [arrowhead = none ];
4543 -> 483;

4544 [label="EVAL with clause\nquot(s(X458), X459, X460, X461) :- ','(p(X459, X462), quot(X458, X462, X460, X461)).\nand substitutionX458 -> T164,\nT160 -> s(T164),\nX459 -> s(0),\nX460 -> s(s(0)),\nX461 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
487 -> 4544 [arrowhead = none ];
4544 -> 495;

4545 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
487 -> 4545 [arrowhead = none ];
4545 -> 497;

4546 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
495 -> 4546 [arrowhead = none ];
4546 -> 498;

4547 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
498 -> 4547 [arrowhead = none ];
4547 -> 499;

4548 [label="ONLY EVAL with clause\np(s(X472), X472).\nand substitutionX472 -> 0,\nX462 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
499 -> 4548 [arrowhead = none ];
4548 -> 501;

4549 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
501 -> 4549 [arrowhead = none ];
4549 -> 512;

4550 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
512 -> 4550 [arrowhead = none ];
4550 -> 515;

4551 [label="ONLY EVAL with clause\nquot(X487, 0, X488, X489) :- ','(!_35, ','(eq(X488, s(X490)), ','(p(X489, X491), quot(X487, X488, X488, X491)))).\nand substitutionT164 -> T167,\nX487 -> T167,\nX488 -> s(s(0)),\nX489 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
515 -> 4551 [arrowhead = none ];
4551 -> 531;

4552 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
531 -> 4552 [arrowhead = none ];
4552 -> 532;

4553 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
532 -> 4553 [arrowhead = none ];
4553 -> 534;

4554 [label="ONLY EVAL with clause\neq(X502, X502).\nand substitutionX502 -> s(s(0)),\nX490 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
534 -> 4554 [arrowhead = none ];
4554 -> 538;

4555 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
538 -> 4555 [arrowhead = none ];
4555 -> 539;

4556 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
539 -> 4556 [arrowhead = none ];
4556 -> 541;

4557 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
539 -> 4557 [arrowhead = none ];
4557 -> 542;

4558 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX491 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
541 -> 4558 [arrowhead = none ];
4558 -> 543;

4559 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
542 -> 4559 [arrowhead = none ];
4559 -> 568;

4560 [label="INSTANCE with matching:\nT154 -> T167", fontsize=14, style = filled, fillcolor = lightgrey];
543 -> 4560 [arrowhead = none , style=dashed];
4560 -> 426[style=dashed];

4561 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
569 -> 4561 [arrowhead = none ];
4561 -> 573;

4562 [label="EVAL with clause\nquot(0, s(X529), s(X530), X531) :- ','(!_38, eq(X531, 0)).\nand substitutionT154 -> 0,\nX529 -> s(0),\nX530 -> s(0),\nT171 -> T176,\nX531 -> T176,\nT175 -> T176", fontsize=14, style = filled, fillcolor = lightblue];
573 -> 4562 [arrowhead = none ];
4562 -> 586;

4563 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
573 -> 4563 [arrowhead = none ];
4563 -> 587;

4564 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
586 -> 4564 [arrowhead = none ];
4564 -> 588;

4565 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
587 -> 4565 [arrowhead = none ];
4565 -> 595;

4566 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
588 -> 4566 [arrowhead = none ];
4566 -> 589;

4567 [label="EVAL with clause\neq(X534, X534).\nand substitutionT176 -> 0,\nX534 -> 0,\nT179 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
589 -> 4567 [arrowhead = none ];
4567 -> 590;

4568 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
589 -> 4568 [arrowhead = none ];
4568 -> 591;

4569 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
590 -> 4569 [arrowhead = none ];
4569 -> 592;

4570 [label="EVAL with clause\nquot(s(X547), X548, X549, X550) :- ','(p(X548, X551), quot(X547, X551, X549, X550)).\nand substitutionX547 -> T185,\nT154 -> s(T185),\nX548 -> s(s(0)),\nX549 -> s(s(0)),\nT171 -> T187,\nX550 -> T187,\nT186 -> T187", fontsize=14, style = filled, fillcolor = lightblue];
595 -> 4570 [arrowhead = none ];
4570 -> 598;

4571 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
595 -> 4571 [arrowhead = none ];
4571 -> 600;

4572 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
598 -> 4572 [arrowhead = none ];
4572 -> 604;

4573 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
604 -> 4573 [arrowhead = none ];
4573 -> 605;

4574 [label="ONLY EVAL with clause\np(s(X561), X561).\nand substitutionX561 -> s(0),\nX551 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
605 -> 4574 [arrowhead = none ];
4574 -> 612;

4575 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
612 -> 4575 [arrowhead = none ];
4575 -> 620;

4576 [label="EVAL with clause\nquot(0, s(X571), s(X572), X573) :- ','(!_41, eq(X573, 0)).\nand substitutionT185 -> 0,\nX571 -> 0,\nX572 -> s(0),\nT187 -> T194,\nX573 -> T194,\nT193 -> T194", fontsize=14, style = filled, fillcolor = lightblue];
620 -> 4576 [arrowhead = none ];
4576 -> 630;

4577 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
620 -> 4577 [arrowhead = none ];
4577 -> 632;

4578 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
630 -> 4578 [arrowhead = none ];
4578 -> 633;

4579 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
632 -> 4579 [arrowhead = none ];
4579 -> 645;

4580 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
633 -> 4580 [arrowhead = none ];
4580 -> 634;

4581 [label="EVAL with clause\neq(X576, X576).\nand substitutionT194 -> 0,\nX576 -> 0,\nT197 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
634 -> 4581 [arrowhead = none ];
4581 -> 638;

4582 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
634 -> 4582 [arrowhead = none ];
4582 -> 640;

4583 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
638 -> 4583 [arrowhead = none ];
4583 -> 641;

4584 [label="EVAL with clause\nquot(s(X589), X590, X591, X592) :- ','(p(X590, X593), quot(X589, X593, X591, X592)).\nand substitutionX589 -> T203,\nT185 -> s(T203),\nX590 -> s(0),\nX591 -> s(s(0)),\nT187 -> T205,\nX592 -> T205,\nT204 -> T205", fontsize=14, style = filled, fillcolor = lightblue];
645 -> 4584 [arrowhead = none ];
4584 -> 662;

4585 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
645 -> 4585 [arrowhead = none ];
4585 -> 663;

4586 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
662 -> 4586 [arrowhead = none ];
4586 -> 665;

4587 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
665 -> 4587 [arrowhead = none ];
4587 -> 666;

4588 [label="ONLY EVAL with clause\np(s(X603), X603).\nand substitutionX603 -> 0,\nX593 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
666 -> 4588 [arrowhead = none ];
4588 -> 667;

4589 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
667 -> 4589 [arrowhead = none ];
4589 -> 672;

4590 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
672 -> 4590 [arrowhead = none ];
4590 -> 675;

4591 [label="ONLY EVAL with clause\nquot(X618, 0, X619, X620) :- ','(!_44, ','(eq(X619, s(X621)), ','(p(X620, X622), quot(X618, X619, X619, X622)))).\nand substitutionT203 -> T212,\nX618 -> T212,\nX619 -> s(s(0)),\nT205 -> T214,\nX620 -> T214,\nT213 -> T214", fontsize=14, style = filled, fillcolor = lightblue];
675 -> 4591 [arrowhead = none ];
4591 -> 679;

4592 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
679 -> 4592 [arrowhead = none ];
4592 -> 680;

4593 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
680 -> 4593 [arrowhead = none ];
4593 -> 685;

4594 [label="ONLY EVAL with clause\neq(X633, X633).\nand substitutionX633 -> s(s(0)),\nX621 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
685 -> 4594 [arrowhead = none ];
4594 -> 688;

4595 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
688 -> 4595 [arrowhead = none ];
4595 -> 693;

4596 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
693 -> 4596 [arrowhead = none ];
4596 -> 694;

4597 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
693 -> 4597 [arrowhead = none ];
4597 -> 695;

4598 [label="EVAL with clause\np(0, 0).\nand substitutionT214 -> 0,\nX622 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
694 -> 4598 [arrowhead = none ];
4598 -> 696;

4599 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
694 -> 4599 [arrowhead = none ];
4599 -> 698;

4600 [label="EVAL with clause\np(s(X643), X643).\nand substitutionX643 -> T218,\nT214 -> s(T218),\nX622 -> T218,\nT217 -> T218", fontsize=14, style = filled, fillcolor = lightblue];
695 -> 4600 [arrowhead = none ];
4600 -> 703;

4601 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
695 -> 4601 [arrowhead = none ];
4601 -> 704;

4602 [label="INSTANCE with matching:\nT154 -> T212", fontsize=14, style = filled, fillcolor = lightgrey];
696 -> 4602 [arrowhead = none , style=dashed];
4602 -> 426[style=dashed];

4603 [label="INSTANCE with matching:\nT154 -> T212\nT171 -> T218", fontsize=14, style = filled, fillcolor = lightgrey];
703 -> 4603 [arrowhead = none , style=dashed];
4603 -> 569[style=dashed];

4604 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
718 -> 4604 [arrowhead = none ];
4604 -> 721;

4605 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
721 -> 4605 [arrowhead = none ];
4605 -> 723;

4606 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
721 -> 4606 [arrowhead = none ];
4606 -> 724;

4607 [label="EVAL with clause\np(0, 0).\nand substitutionT227 -> 0,\nX660 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
723 -> 4607 [arrowhead = none ];
4607 -> 725;

4608 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
723 -> 4608 [arrowhead = none ];
4608 -> 726;

4609 [label="EVAL with clause\np(s(X670), X670).\nand substitutionX670 -> T234,\nT227 -> s(T234),\nX660 -> T234", fontsize=14, style = filled, fillcolor = lightblue];
724 -> 4609 [arrowhead = none ];
4609 -> 732;

4610 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
724 -> 4610 [arrowhead = none ];
4610 -> 733;

4611 [label="INSTANCE with matching:\nT203 -> T226\nT205 -> T229", fontsize=14, style = filled, fillcolor = lightgrey];
725 -> 4611 [arrowhead = none , style=dashed];
4611 -> 667[style=dashed];

4612 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
732 -> 4612 [arrowhead = none ];
4612 -> 741;

4613 [label="EVAL with clause\nquot(0, s(X680), s(X681), X682) :- ','(!_48, eq(X682, 0)).\nand substitutionT226 -> 0,\nX680 -> T241,\nT234 -> s(T241),\nX681 -> s(s(s(T241))),\nT229 -> T243,\nX682 -> T243,\nT242 -> T243", fontsize=14, style = filled, fillcolor = lightblue];
741 -> 4613 [arrowhead = none ];
4613 -> 748;

4614 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
741 -> 4614 [arrowhead = none ];
4614 -> 749;

4615 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
748 -> 4615 [arrowhead = none ];
4615 -> 750;

4616 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
749 -> 4616 [arrowhead = none ];
4616 -> 760;

4617 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
749 -> 4617 [arrowhead = none ];
4617 -> 762;

4618 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
750 -> 4618 [arrowhead = none ];
4618 -> 751;

4619 [label="EVAL with clause\neq(X685, X685).\nand substitutionT243 -> 0,\nX685 -> 0,\nT246 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
751 -> 4619 [arrowhead = none ];
4619 -> 754;

4620 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
751 -> 4620 [arrowhead = none ];
4620 -> 755;

4621 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
754 -> 4621 [arrowhead = none ];
4621 -> 757;

4622 [label="EVAL with clause\nquot(X702, 0, X703, X704) :- ','(!_48, ','(eq(X703, s(X705)), ','(p(X704, X706), quot(X702, X703, X703, X706)))).\nand substitutionT226 -> T255,\nX702 -> T255,\nT234 -> 0,\nX703 -> s(s(s(0))),\nT229 -> T257,\nX704 -> T257,\nT256 -> T257", fontsize=14, style = filled, fillcolor = lightblue];
760 -> 4622 [arrowhead = none ];
4622 -> 771;

4623 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
760 -> 4623 [arrowhead = none ];
4623 -> 772;

4624 [label="EVAL with clause\nquot(s(X1073), X1074, X1075, X1076) :- ','(p(X1074, X1077), quot(X1073, X1077, X1075, X1076)).\nand substitutionX1073 -> T349,\nT226 -> s(T349),\nT234 -> T350,\nX1074 -> T350,\nX1075 -> s(s(s(T350))),\nT229 -> T352,\nX1076 -> T352,\nT351 -> T352", fontsize=14, style = filled, fillcolor = lightblue];
762 -> 4624 [arrowhead = none ];
4624 -> 1108;

4625 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
762 -> 4625 [arrowhead = none ];
4625 -> 1109;

4626 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
771 -> 4626 [arrowhead = none ];
4626 -> 774;

4627 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
774 -> 4627 [arrowhead = none ];
4627 -> 775;

4628 [label="ONLY EVAL with clause\neq(X717, X717).\nand substitutionX717 -> s(s(s(0))),\nX705 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
775 -> 4628 [arrowhead = none ];
4628 -> 776;

4629 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
776 -> 4629 [arrowhead = none ];
4629 -> 777;

4630 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
777 -> 4630 [arrowhead = none ];
4630 -> 780;

4631 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
777 -> 4631 [arrowhead = none ];
4631 -> 781;

4632 [label="EVAL with clause\np(0, 0).\nand substitutionT257 -> 0,\nX706 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
780 -> 4632 [arrowhead = none ];
4632 -> 782;

4633 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
780 -> 4633 [arrowhead = none ];
4633 -> 783;

4634 [label="EVAL with clause\np(s(X894), X894).\nand substitutionX894 -> T276,\nT257 -> s(T276),\nX706 -> T276,\nT275 -> T276", fontsize=14, style = filled, fillcolor = lightblue];
781 -> 4634 [arrowhead = none ];
4634 -> 920;

4635 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
781 -> 4635 [arrowhead = none ];
4635 -> 921;

4636 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
782 -> 4636 [arrowhead = none ];
4636 -> 785;

4637 [label="EVAL with clause\nquot(0, s(X731), s(X732), X733) :- ','(!_52, eq(X733, 0)).\nand substitutionT255 -> 0,\nX731 -> s(s(0)),\nX732 -> s(s(0)),\nX733 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
785 -> 4637 [arrowhead = none ];
4637 -> 790;

4638 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
785 -> 4638 [arrowhead = none ];
4638 -> 791;

4639 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
790 -> 4639 [arrowhead = none ];
4639 -> 792;

4640 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
791 -> 4640 [arrowhead = none ];
4640 -> 801;

4641 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
792 -> 4641 [arrowhead = none ];
4641 -> 793;

4642 [label="ONLY EVAL with clause\neq(X736, X736).\nand substitutionX736 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
793 -> 4642 [arrowhead = none ];
4642 -> 798;

4643 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
798 -> 4643 [arrowhead = none ];
4643 -> 799;

4644 [label="EVAL with clause\nquot(s(X749), X750, X751, X752) :- ','(p(X750, X753), quot(X749, X753, X751, X752)).\nand substitutionX749 -> T261,\nT255 -> s(T261),\nX750 -> s(s(s(0))),\nX751 -> s(s(s(0))),\nX752 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
801 -> 4644 [arrowhead = none ];
4644 -> 805;

4645 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
801 -> 4645 [arrowhead = none ];
4645 -> 806;

4646 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
805 -> 4646 [arrowhead = none ];
4646 -> 809;

4647 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
809 -> 4647 [arrowhead = none ];
4647 -> 810;

4648 [label="ONLY EVAL with clause\np(s(X763), X763).\nand substitutionX763 -> s(s(0)),\nX753 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
810 -> 4648 [arrowhead = none ];
4648 -> 811;

4649 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
811 -> 4649 [arrowhead = none ];
4649 -> 813;

4650 [label="EVAL with clause\nquot(0, s(X773), s(X774), X775) :- ','(!_55, eq(X775, 0)).\nand substitutionT261 -> 0,\nX773 -> s(0),\nX774 -> s(s(0)),\nX775 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
813 -> 4650 [arrowhead = none ];
4650 -> 818;

4651 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
813 -> 4651 [arrowhead = none ];
4651 -> 819;

4652 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
818 -> 4652 [arrowhead = none ];
4652 -> 820;

4653 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
819 -> 4653 [arrowhead = none ];
4653 -> 828;

4654 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
820 -> 4654 [arrowhead = none ];
4654 -> 821;

4655 [label="ONLY EVAL with clause\neq(X778, X778).\nand substitutionX778 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
821 -> 4655 [arrowhead = none ];
4655 -> 825;

4656 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
825 -> 4656 [arrowhead = none ];
4656 -> 826;

4657 [label="EVAL with clause\nquot(s(X791), X792, X793, X794) :- ','(p(X792, X795), quot(X791, X795, X793, X794)).\nand substitutionX791 -> T265,\nT261 -> s(T265),\nX792 -> s(s(0)),\nX793 -> s(s(s(0))),\nX794 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
828 -> 4657 [arrowhead = none ];
4657 -> 836;

4658 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
828 -> 4658 [arrowhead = none ];
4658 -> 837;

4659 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
836 -> 4659 [arrowhead = none ];
4659 -> 840;

4660 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
840 -> 4660 [arrowhead = none ];
4660 -> 841;

4661 [label="ONLY EVAL with clause\np(s(X805), X805).\nand substitutionX805 -> s(0),\nX795 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
841 -> 4661 [arrowhead = none ];
4661 -> 846;

4662 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
846 -> 4662 [arrowhead = none ];
4662 -> 850;

4663 [label="EVAL with clause\nquot(0, s(X815), s(X816), X817) :- ','(!_58, eq(X817, 0)).\nand substitutionT265 -> 0,\nX815 -> 0,\nX816 -> s(s(0)),\nX817 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
850 -> 4663 [arrowhead = none ];
4663 -> 852;

4664 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
850 -> 4664 [arrowhead = none ];
4664 -> 853;

4665 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
852 -> 4665 [arrowhead = none ];
4665 -> 854;

4666 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
853 -> 4666 [arrowhead = none ];
4666 -> 858;

4667 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
854 -> 4667 [arrowhead = none ];
4667 -> 855;

4668 [label="ONLY EVAL with clause\neq(X820, X820).\nand substitutionX820 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
855 -> 4668 [arrowhead = none ];
4668 -> 856;

4669 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
856 -> 4669 [arrowhead = none ];
4669 -> 857;

4670 [label="EVAL with clause\nquot(s(X833), X834, X835, X836) :- ','(p(X834, X837), quot(X833, X837, X835, X836)).\nand substitutionX833 -> T269,\nT265 -> s(T269),\nX834 -> s(0),\nX835 -> s(s(s(0))),\nX836 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
858 -> 4670 [arrowhead = none ];
4670 -> 867;

4671 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
858 -> 4671 [arrowhead = none ];
4671 -> 868;

4672 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
867 -> 4672 [arrowhead = none ];
4672 -> 870;

4673 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
870 -> 4673 [arrowhead = none ];
4673 -> 871;

4674 [label="ONLY EVAL with clause\np(s(X847), X847).\nand substitutionX847 -> 0,\nX837 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
871 -> 4674 [arrowhead = none ];
4674 -> 873;

4675 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
873 -> 4675 [arrowhead = none ];
4675 -> 880;

4676 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
880 -> 4676 [arrowhead = none ];
4676 -> 883;

4677 [label="ONLY EVAL with clause\nquot(X862, 0, X863, X864) :- ','(!_61, ','(eq(X863, s(X865)), ','(p(X864, X866), quot(X862, X863, X863, X866)))).\nand substitutionT269 -> T272,\nX862 -> T272,\nX863 -> s(s(s(0))),\nX864 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
883 -> 4677 [arrowhead = none ];
4677 -> 887;

4678 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
887 -> 4678 [arrowhead = none ];
4678 -> 888;

4679 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
888 -> 4679 [arrowhead = none ];
4679 -> 889;

4680 [label="ONLY EVAL with clause\neq(X877, X877).\nand substitutionX877 -> s(s(s(0))),\nX865 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
889 -> 4680 [arrowhead = none ];
4680 -> 891;

4681 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
891 -> 4681 [arrowhead = none ];
4681 -> 905;

4682 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
905 -> 4682 [arrowhead = none ];
4682 -> 906;

4683 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
905 -> 4683 [arrowhead = none ];
4683 -> 907;

4684 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX866 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
906 -> 4684 [arrowhead = none ];
4684 -> 916;

4685 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
907 -> 4685 [arrowhead = none ];
4685 -> 918;

4686 [label="INSTANCE with matching:\nT255 -> T272", fontsize=14, style = filled, fillcolor = lightgrey];
916 -> 4686 [arrowhead = none , style=dashed];
4686 -> 782[style=dashed];

4687 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
920 -> 4687 [arrowhead = none ];
4687 -> 922;

4688 [label="EVAL with clause\nquot(0, s(X904), s(X905), X906) :- ','(!_64, eq(X906, 0)).\nand substitutionT255 -> 0,\nX904 -> s(s(0)),\nX905 -> s(s(0)),\nT276 -> T281,\nX906 -> T281,\nT280 -> T281", fontsize=14, style = filled, fillcolor = lightblue];
922 -> 4688 [arrowhead = none ];
4688 -> 939;

4689 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
922 -> 4689 [arrowhead = none ];
4689 -> 940;

4690 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
939 -> 4690 [arrowhead = none ];
4690 -> 941;

4691 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
940 -> 4691 [arrowhead = none ];
4691 -> 946;

4692 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
941 -> 4692 [arrowhead = none ];
4692 -> 942;

4693 [label="EVAL with clause\neq(X909, X909).\nand substitutionT281 -> 0,\nX909 -> 0,\nT284 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
942 -> 4693 [arrowhead = none ];
4693 -> 943;

4694 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
942 -> 4694 [arrowhead = none ];
4694 -> 944;

4695 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
943 -> 4695 [arrowhead = none ];
4695 -> 945;

4696 [label="EVAL with clause\nquot(s(X922), X923, X924, X925) :- ','(p(X923, X926), quot(X922, X926, X924, X925)).\nand substitutionX922 -> T290,\nT255 -> s(T290),\nX923 -> s(s(s(0))),\nX924 -> s(s(s(0))),\nT276 -> T292,\nX925 -> T292,\nT291 -> T292", fontsize=14, style = filled, fillcolor = lightblue];
946 -> 4696 [arrowhead = none ];
4696 -> 947;

4697 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
946 -> 4697 [arrowhead = none ];
4697 -> 948;

4698 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
947 -> 4698 [arrowhead = none ];
4698 -> 965;

4699 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
965 -> 4699 [arrowhead = none ];
4699 -> 966;

4700 [label="ONLY EVAL with clause\np(s(X936), X936).\nand substitutionX936 -> s(s(0)),\nX926 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
966 -> 4700 [arrowhead = none ];
4700 -> 968;

4701 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
968 -> 4701 [arrowhead = none ];
4701 -> 969;

4702 [label="EVAL with clause\nquot(0, s(X946), s(X947), X948) :- ','(!_67, eq(X948, 0)).\nand substitutionT290 -> 0,\nX946 -> s(0),\nX947 -> s(s(0)),\nT292 -> T299,\nX948 -> T299,\nT298 -> T299", fontsize=14, style = filled, fillcolor = lightblue];
969 -> 4702 [arrowhead = none ];
4702 -> 989;

4703 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
969 -> 4703 [arrowhead = none ];
4703 -> 991;

4704 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
989 -> 4704 [arrowhead = none ];
4704 -> 992;

4705 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
991 -> 4705 [arrowhead = none ];
4705 -> 998;

4706 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
992 -> 4706 [arrowhead = none ];
4706 -> 993;

4707 [label="EVAL with clause\neq(X951, X951).\nand substitutionT299 -> 0,\nX951 -> 0,\nT302 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
993 -> 4707 [arrowhead = none ];
4707 -> 995;

4708 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
993 -> 4708 [arrowhead = none ];
4708 -> 996;

4709 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
995 -> 4709 [arrowhead = none ];
4709 -> 997;

4710 [label="EVAL with clause\nquot(s(X964), X965, X966, X967) :- ','(p(X965, X968), quot(X964, X968, X966, X967)).\nand substitutionX964 -> T308,\nT290 -> s(T308),\nX965 -> s(s(0)),\nX966 -> s(s(s(0))),\nT292 -> T310,\nX967 -> T310,\nT309 -> T310", fontsize=14, style = filled, fillcolor = lightblue];
998 -> 4710 [arrowhead = none ];
4710 -> 1006;

4711 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
998 -> 4711 [arrowhead = none ];
4711 -> 1007;

4712 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1006 -> 4712 [arrowhead = none ];
4712 -> 1008;

4713 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1008 -> 4713 [arrowhead = none ];
4713 -> 1009;

4714 [label="ONLY EVAL with clause\np(s(X978), X978).\nand substitutionX978 -> s(0),\nX968 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
1009 -> 4714 [arrowhead = none ];
4714 -> 1014;

4715 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1014 -> 4715 [arrowhead = none ];
4715 -> 1033;

4716 [label="EVAL with clause\nquot(0, s(X988), s(X989), X990) :- ','(!_70, eq(X990, 0)).\nand substitutionT308 -> 0,\nX988 -> 0,\nX989 -> s(s(0)),\nT310 -> T317,\nX990 -> T317,\nT316 -> T317", fontsize=14, style = filled, fillcolor = lightblue];
1033 -> 4716 [arrowhead = none ];
4716 -> 1035;

4717 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1033 -> 4717 [arrowhead = none ];
4717 -> 1036;

4718 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1035 -> 4718 [arrowhead = none ];
4718 -> 1037;

4719 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1036 -> 4719 [arrowhead = none ];
4719 -> 1053;

4720 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1037 -> 4720 [arrowhead = none ];
4720 -> 1038;

4721 [label="EVAL with clause\neq(X993, X993).\nand substitutionT317 -> 0,\nX993 -> 0,\nT320 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1038 -> 4721 [arrowhead = none ];
4721 -> 1040;

4722 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1038 -> 4722 [arrowhead = none ];
4722 -> 1041;

4723 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1040 -> 4723 [arrowhead = none ];
4723 -> 1043;

4724 [label="EVAL with clause\nquot(s(X1006), X1007, X1008, X1009) :- ','(p(X1007, X1010), quot(X1006, X1010, X1008, X1009)).\nand substitutionX1006 -> T326,\nT308 -> s(T326),\nX1007 -> s(0),\nX1008 -> s(s(s(0))),\nT310 -> T328,\nX1009 -> T328,\nT327 -> T328", fontsize=14, style = filled, fillcolor = lightblue];
1053 -> 4724 [arrowhead = none ];
4724 -> 1058;

4725 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1053 -> 4725 [arrowhead = none ];
4725 -> 1059;

4726 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1058 -> 4726 [arrowhead = none ];
4726 -> 1061;

4727 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1061 -> 4727 [arrowhead = none ];
4727 -> 1062;

4728 [label="ONLY EVAL with clause\np(s(X1020), X1020).\nand substitutionX1020 -> 0,\nX1010 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1062 -> 4728 [arrowhead = none ];
4728 -> 1064;

4729 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1064 -> 4729 [arrowhead = none ];
4729 -> 1067;

4730 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1067 -> 4730 [arrowhead = none ];
4730 -> 1073;

4731 [label="ONLY EVAL with clause\nquot(X1035, 0, X1036, X1037) :- ','(!_73, ','(eq(X1036, s(X1038)), ','(p(X1037, X1039), quot(X1035, X1036, X1036, X1039)))).\nand substitutionT326 -> T335,\nX1035 -> T335,\nX1036 -> s(s(s(0))),\nT328 -> T337,\nX1037 -> T337,\nT336 -> T337", fontsize=14, style = filled, fillcolor = lightblue];
1073 -> 4731 [arrowhead = none ];
4731 -> 1080;

4732 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1080 -> 4732 [arrowhead = none ];
4732 -> 1081;

4733 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1081 -> 4733 [arrowhead = none ];
4733 -> 1082;

4734 [label="ONLY EVAL with clause\neq(X1050, X1050).\nand substitutionX1050 -> s(s(s(0))),\nX1038 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
1082 -> 4734 [arrowhead = none ];
4734 -> 1084;

4735 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1084 -> 4735 [arrowhead = none ];
4735 -> 1086;

4736 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1086 -> 4736 [arrowhead = none ];
4736 -> 1087;

4737 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1086 -> 4737 [arrowhead = none ];
4737 -> 1088;

4738 [label="EVAL with clause\np(0, 0).\nand substitutionT337 -> 0,\nX1039 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1087 -> 4738 [arrowhead = none ];
4738 -> 1091;

4739 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1087 -> 4739 [arrowhead = none ];
4739 -> 1093;

4740 [label="EVAL with clause\np(s(X1060), X1060).\nand substitutionX1060 -> T341,\nT337 -> s(T341),\nX1039 -> T341,\nT340 -> T341", fontsize=14, style = filled, fillcolor = lightblue];
1088 -> 4740 [arrowhead = none ];
4740 -> 1097;

4741 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1088 -> 4741 [arrowhead = none ];
4741 -> 1098;

4742 [label="INSTANCE with matching:\nT255 -> T335", fontsize=14, style = filled, fillcolor = lightgrey];
1091 -> 4742 [arrowhead = none , style=dashed];
4742 -> 782[style=dashed];

4743 [label="INSTANCE with matching:\nT255 -> T335\nT276 -> T341", fontsize=14, style = filled, fillcolor = lightgrey];
1097 -> 4743 [arrowhead = none , style=dashed];
4743 -> 920[style=dashed];

4744 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1108 -> 4744 [arrowhead = none ];
4744 -> 1113;

4745 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1113 -> 4745 [arrowhead = none ];
4745 -> 1114;

4746 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1113 -> 4746 [arrowhead = none ];
4746 -> 1115;

4747 [label="EVAL with clause\np(0, 0).\nand substitutionT350 -> 0,\nX1077 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1114 -> 4747 [arrowhead = none ];
4747 -> 1116;

4748 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1114 -> 4748 [arrowhead = none ];
4748 -> 1117;

4749 [label="EVAL with clause\np(s(X1087), X1087).\nand substitutionX1087 -> T357,\nT350 -> s(T357),\nX1077 -> T357", fontsize=14, style = filled, fillcolor = lightblue];
1115 -> 4749 [arrowhead = none ];
4749 -> 1127;

4750 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1115 -> 4750 [arrowhead = none ];
4750 -> 1128;

4751 [label="INSTANCE with matching:\nT326 -> T349\nT328 -> T352", fontsize=14, style = filled, fillcolor = lightgrey];
1116 -> 4751 [arrowhead = none , style=dashed];
4751 -> 1064[style=dashed];

4752 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1127 -> 4752 [arrowhead = none ];
4752 -> 1132;

4753 [label="EVAL with clause\nquot(0, s(X1097), s(X1098), X1099) :- ','(!_77, eq(X1099, 0)).\nand substitutionT349 -> 0,\nX1097 -> T364,\nT357 -> s(T364),\nX1098 -> s(s(s(s(T364)))),\nT352 -> T366,\nX1099 -> T366,\nT365 -> T366", fontsize=14, style = filled, fillcolor = lightblue];
1132 -> 4753 [arrowhead = none ];
4753 -> 1137;

4754 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1132 -> 4754 [arrowhead = none ];
4754 -> 1138;

4755 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1137 -> 4755 [arrowhead = none ];
4755 -> 1139;

4756 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1138 -> 4756 [arrowhead = none ];
4756 -> 1154;

4757 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1138 -> 4757 [arrowhead = none ];
4757 -> 1155;

4758 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1139 -> 4758 [arrowhead = none ];
4758 -> 1140;

4759 [label="EVAL with clause\neq(X1102, X1102).\nand substitutionT366 -> 0,\nX1102 -> 0,\nT369 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1140 -> 4759 [arrowhead = none ];
4759 -> 1143;

4760 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1140 -> 4760 [arrowhead = none ];
4760 -> 1144;

4761 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1143 -> 4761 [arrowhead = none ];
4761 -> 1146;

4762 [label="EVAL with clause\nquot(X1119, 0, X1120, X1121) :- ','(!_77, ','(eq(X1120, s(X1122)), ','(p(X1121, X1123), quot(X1119, X1120, X1120, X1123)))).\nand substitutionT349 -> T378,\nX1119 -> T378,\nT357 -> 0,\nX1120 -> s(s(s(s(0)))),\nT352 -> T380,\nX1121 -> T380,\nT379 -> T380", fontsize=14, style = filled, fillcolor = lightblue];
1154 -> 4762 [arrowhead = none ];
4762 -> 1162;

4763 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1154 -> 4763 [arrowhead = none ];
4763 -> 1163;

4764 [label="EVAL with clause\nquot(s(X1574), X1575, X1576, X1577) :- ','(p(X1575, X1578), quot(X1574, X1578, X1576, X1577)).\nand substitutionX1574 -> T494,\nT349 -> s(T494),\nT357 -> T495,\nX1575 -> T495,\nX1576 -> s(s(s(s(T495)))),\nT352 -> T497,\nX1577 -> T497,\nT496 -> T497", fontsize=14, style = filled, fillcolor = lightblue];
1155 -> 4764 [arrowhead = none ];
4764 -> 1610;

4765 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1155 -> 4765 [arrowhead = none ];
4765 -> 1611;

4766 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1162 -> 4766 [arrowhead = none ];
4766 -> 1164;

4767 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1164 -> 4767 [arrowhead = none ];
4767 -> 1166;

4768 [label="ONLY EVAL with clause\neq(X1134, X1134).\nand substitutionX1134 -> s(s(s(s(0)))),\nX1122 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
1166 -> 4768 [arrowhead = none ];
4768 -> 1168;

4769 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1168 -> 4769 [arrowhead = none ];
4769 -> 1174;

4770 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1174 -> 4770 [arrowhead = none ];
4770 -> 1176;

4771 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1174 -> 4771 [arrowhead = none ];
4771 -> 1177;

4772 [label="EVAL with clause\np(0, 0).\nand substitutionT380 -> 0,\nX1123 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1176 -> 4772 [arrowhead = none ];
4772 -> 1178;

4773 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1176 -> 4773 [arrowhead = none ];
4773 -> 1179;

4774 [label="EVAL with clause\np(s(X1353), X1353).\nand substitutionX1353 -> T403,\nT380 -> s(T403),\nX1123 -> T403,\nT402 -> T403", fontsize=14, style = filled, fillcolor = lightblue];
1177 -> 4774 [arrowhead = none ];
4774 -> 1346;

4775 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1177 -> 4775 [arrowhead = none ];
4775 -> 1347;

4776 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1178 -> 4776 [arrowhead = none ];
4776 -> 1183;

4777 [label="EVAL with clause\nquot(0, s(X1148), s(X1149), X1150) :- ','(!_81, eq(X1150, 0)).\nand substitutionT378 -> 0,\nX1148 -> s(s(s(0))),\nX1149 -> s(s(s(0))),\nX1150 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1183 -> 4777 [arrowhead = none ];
4777 -> 1186;

4778 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1183 -> 4778 [arrowhead = none ];
4778 -> 1187;

4779 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1186 -> 4779 [arrowhead = none ];
4779 -> 1188;

4780 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1187 -> 4780 [arrowhead = none ];
4780 -> 1192;

4781 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1188 -> 4781 [arrowhead = none ];
4781 -> 1189;

4782 [label="ONLY EVAL with clause\neq(X1153, X1153).\nand substitutionX1153 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1189 -> 4782 [arrowhead = none ];
4782 -> 1190;

4783 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1190 -> 4783 [arrowhead = none ];
4783 -> 1191;

4784 [label="EVAL with clause\nquot(s(X1166), X1167, X1168, X1169) :- ','(p(X1167, X1170), quot(X1166, X1170, X1168, X1169)).\nand substitutionX1166 -> T384,\nT378 -> s(T384),\nX1167 -> s(s(s(s(0)))),\nX1168 -> s(s(s(s(0)))),\nX1169 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1192 -> 4784 [arrowhead = none ];
4784 -> 1200;

4785 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1192 -> 4785 [arrowhead = none ];
4785 -> 1201;

4786 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1200 -> 4786 [arrowhead = none ];
4786 -> 1208;

4787 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1208 -> 4787 [arrowhead = none ];
4787 -> 1209;

4788 [label="ONLY EVAL with clause\np(s(X1180), X1180).\nand substitutionX1180 -> s(s(s(0))),\nX1170 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
1209 -> 4788 [arrowhead = none ];
4788 -> 1211;

4789 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1211 -> 4789 [arrowhead = none ];
4789 -> 1213;

4790 [label="EVAL with clause\nquot(0, s(X1190), s(X1191), X1192) :- ','(!_84, eq(X1192, 0)).\nand substitutionT384 -> 0,\nX1190 -> s(s(0)),\nX1191 -> s(s(s(0))),\nX1192 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1213 -> 4790 [arrowhead = none ];
4790 -> 1221;

4791 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1213 -> 4791 [arrowhead = none ];
4791 -> 1222;

4792 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1221 -> 4792 [arrowhead = none ];
4792 -> 1223;

4793 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1222 -> 4793 [arrowhead = none ];
4793 -> 1231;

4794 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1223 -> 4794 [arrowhead = none ];
4794 -> 1224;

4795 [label="ONLY EVAL with clause\neq(X1195, X1195).\nand substitutionX1195 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1224 -> 4795 [arrowhead = none ];
4795 -> 1228;

4796 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1228 -> 4796 [arrowhead = none ];
4796 -> 1229;

4797 [label="EVAL with clause\nquot(s(X1208), X1209, X1210, X1211) :- ','(p(X1209, X1212), quot(X1208, X1212, X1210, X1211)).\nand substitutionX1208 -> T388,\nT384 -> s(T388),\nX1209 -> s(s(s(0))),\nX1210 -> s(s(s(s(0)))),\nX1211 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1231 -> 4797 [arrowhead = none ];
4797 -> 1239;

4798 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1231 -> 4798 [arrowhead = none ];
4798 -> 1240;

4799 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1239 -> 4799 [arrowhead = none ];
4799 -> 1242;

4800 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1242 -> 4800 [arrowhead = none ];
4800 -> 1243;

4801 [label="ONLY EVAL with clause\np(s(X1222), X1222).\nand substitutionX1222 -> s(s(0)),\nX1212 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
1243 -> 4801 [arrowhead = none ];
4801 -> 1246;

4802 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1246 -> 4802 [arrowhead = none ];
4802 -> 1247;

4803 [label="EVAL with clause\nquot(0, s(X1232), s(X1233), X1234) :- ','(!_87, eq(X1234, 0)).\nand substitutionT388 -> 0,\nX1232 -> s(0),\nX1233 -> s(s(s(0))),\nX1234 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1247 -> 4803 [arrowhead = none ];
4803 -> 1261;

4804 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1247 -> 4804 [arrowhead = none ];
4804 -> 1262;

4805 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1261 -> 4805 [arrowhead = none ];
4805 -> 1263;

4806 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1262 -> 4806 [arrowhead = none ];
4806 -> 1267;

4807 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1263 -> 4807 [arrowhead = none ];
4807 -> 1264;

4808 [label="ONLY EVAL with clause\neq(X1237, X1237).\nand substitutionX1237 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1264 -> 4808 [arrowhead = none ];
4808 -> 1265;

4809 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1265 -> 4809 [arrowhead = none ];
4809 -> 1266;

4810 [label="EVAL with clause\nquot(s(X1250), X1251, X1252, X1253) :- ','(p(X1251, X1254), quot(X1250, X1254, X1252, X1253)).\nand substitutionX1250 -> T392,\nT388 -> s(T392),\nX1251 -> s(s(0)),\nX1252 -> s(s(s(s(0)))),\nX1253 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1267 -> 4810 [arrowhead = none ];
4810 -> 1274;

4811 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1267 -> 4811 [arrowhead = none ];
4811 -> 1275;

4812 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1274 -> 4812 [arrowhead = none ];
4812 -> 1277;

4813 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1277 -> 4813 [arrowhead = none ];
4813 -> 1278;

4814 [label="ONLY EVAL with clause\np(s(X1264), X1264).\nand substitutionX1264 -> s(0),\nX1254 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
1278 -> 4814 [arrowhead = none ];
4814 -> 1280;

4815 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1280 -> 4815 [arrowhead = none ];
4815 -> 1282;

4816 [label="EVAL with clause\nquot(0, s(X1274), s(X1275), X1276) :- ','(!_90, eq(X1276, 0)).\nand substitutionT392 -> 0,\nX1274 -> 0,\nX1275 -> s(s(s(0))),\nX1276 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1282 -> 4816 [arrowhead = none ];
4816 -> 1289;

4817 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1282 -> 4817 [arrowhead = none ];
4817 -> 1290;

4818 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1289 -> 4818 [arrowhead = none ];
4818 -> 1291;

4819 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1290 -> 4819 [arrowhead = none ];
4819 -> 1297;

4820 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1291 -> 4820 [arrowhead = none ];
4820 -> 1292;

4821 [label="ONLY EVAL with clause\neq(X1279, X1279).\nand substitutionX1279 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1292 -> 4821 [arrowhead = none ];
4821 -> 1293;

4822 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1293 -> 4822 [arrowhead = none ];
4822 -> 1294;

4823 [label="EVAL with clause\nquot(s(X1292), X1293, X1294, X1295) :- ','(p(X1293, X1296), quot(X1292, X1296, X1294, X1295)).\nand substitutionX1292 -> T396,\nT392 -> s(T396),\nX1293 -> s(0),\nX1294 -> s(s(s(s(0)))),\nX1295 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1297 -> 4823 [arrowhead = none ];
4823 -> 1305;

4824 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1297 -> 4824 [arrowhead = none ];
4824 -> 1306;

4825 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1305 -> 4825 [arrowhead = none ];
4825 -> 1307;

4826 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1307 -> 4826 [arrowhead = none ];
4826 -> 1308;

4827 [label="ONLY EVAL with clause\np(s(X1306), X1306).\nand substitutionX1306 -> 0,\nX1296 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1308 -> 4827 [arrowhead = none ];
4827 -> 1310;

4828 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1310 -> 4828 [arrowhead = none ];
4828 -> 1316;

4829 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1316 -> 4829 [arrowhead = none ];
4829 -> 1319;

4830 [label="ONLY EVAL with clause\nquot(X1321, 0, X1322, X1323) :- ','(!_93, ','(eq(X1322, s(X1324)), ','(p(X1323, X1325), quot(X1321, X1322, X1322, X1325)))).\nand substitutionT396 -> T399,\nX1321 -> T399,\nX1322 -> s(s(s(s(0)))),\nX1323 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1319 -> 4830 [arrowhead = none ];
4830 -> 1322;

4831 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1322 -> 4831 [arrowhead = none ];
4831 -> 1323;

4832 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1323 -> 4832 [arrowhead = none ];
4832 -> 1329;

4833 [label="ONLY EVAL with clause\neq(X1336, X1336).\nand substitutionX1336 -> s(s(s(s(0)))),\nX1324 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
1329 -> 4833 [arrowhead = none ];
4833 -> 1333;

4834 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1333 -> 4834 [arrowhead = none ];
4834 -> 1337;

4835 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1337 -> 4835 [arrowhead = none ];
4835 -> 1340;

4836 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1337 -> 4836 [arrowhead = none ];
4836 -> 1341;

4837 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX1325 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1340 -> 4837 [arrowhead = none ];
4837 -> 1344;

4838 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1341 -> 4838 [arrowhead = none ];
4838 -> 1345;

4839 [label="INSTANCE with matching:\nT378 -> T399", fontsize=14, style = filled, fillcolor = lightgrey];
1344 -> 4839 [arrowhead = none , style=dashed];
4839 -> 1178[style=dashed];

4840 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1346 -> 4840 [arrowhead = none ];
4840 -> 1351;

4841 [label="EVAL with clause\nquot(0, s(X1363), s(X1364), X1365) :- ','(!_96, eq(X1365, 0)).\nand substitutionT378 -> 0,\nX1363 -> s(s(s(0))),\nX1364 -> s(s(s(0))),\nT403 -> T408,\nX1365 -> T408,\nT407 -> T408", fontsize=14, style = filled, fillcolor = lightblue];
1351 -> 4841 [arrowhead = none ];
4841 -> 1367;

4842 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1351 -> 4842 [arrowhead = none ];
4842 -> 1368;

4843 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1367 -> 4843 [arrowhead = none ];
4843 -> 1369;

4844 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1368 -> 4844 [arrowhead = none ];
4844 -> 1392;

4845 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1369 -> 4845 [arrowhead = none ];
4845 -> 1370;

4846 [label="EVAL with clause\neq(X1368, X1368).\nand substitutionT408 -> 0,\nX1368 -> 0,\nT411 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1370 -> 4846 [arrowhead = none ];
4846 -> 1375;

4847 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1370 -> 4847 [arrowhead = none ];
4847 -> 1376;

4848 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1375 -> 4848 [arrowhead = none ];
4848 -> 1377;

4849 [label="EVAL with clause\nquot(s(X1381), X1382, X1383, X1384) :- ','(p(X1382, X1385), quot(X1381, X1385, X1383, X1384)).\nand substitutionX1381 -> T417,\nT378 -> s(T417),\nX1382 -> s(s(s(s(0)))),\nX1383 -> s(s(s(s(0)))),\nT403 -> T419,\nX1384 -> T419,\nT418 -> T419", fontsize=14, style = filled, fillcolor = lightblue];
1392 -> 4849 [arrowhead = none ];
4849 -> 1401;

4850 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1392 -> 4850 [arrowhead = none ];
4850 -> 1402;

4851 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1401 -> 4851 [arrowhead = none ];
4851 -> 1405;

4852 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1405 -> 4852 [arrowhead = none ];
4852 -> 1406;

4853 [label="ONLY EVAL with clause\np(s(X1395), X1395).\nand substitutionX1395 -> s(s(s(0))),\nX1385 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
1406 -> 4853 [arrowhead = none ];
4853 -> 1418;

4854 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1418 -> 4854 [arrowhead = none ];
4854 -> 1424;

4855 [label="EVAL with clause\nquot(0, s(X1405), s(X1406), X1407) :- ','(!_99, eq(X1407, 0)).\nand substitutionT417 -> 0,\nX1405 -> s(s(0)),\nX1406 -> s(s(s(0))),\nT419 -> T426,\nX1407 -> T426,\nT425 -> T426", fontsize=14, style = filled, fillcolor = lightblue];
1424 -> 4855 [arrowhead = none ];
4855 -> 1427;

4856 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1424 -> 4856 [arrowhead = none ];
4856 -> 1428;

4857 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1427 -> 4857 [arrowhead = none ];
4857 -> 1429;

4858 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1428 -> 4858 [arrowhead = none ];
4858 -> 1438;

4859 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1429 -> 4859 [arrowhead = none ];
4859 -> 1430;

4860 [label="EVAL with clause\neq(X1410, X1410).\nand substitutionT426 -> 0,\nX1410 -> 0,\nT429 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1430 -> 4860 [arrowhead = none ];
4860 -> 1433;

4861 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1430 -> 4861 [arrowhead = none ];
4861 -> 1434;

4862 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1433 -> 4862 [arrowhead = none ];
4862 -> 1435;

4863 [label="EVAL with clause\nquot(s(X1423), X1424, X1425, X1426) :- ','(p(X1424, X1427), quot(X1423, X1427, X1425, X1426)).\nand substitutionX1423 -> T435,\nT417 -> s(T435),\nX1424 -> s(s(s(0))),\nX1425 -> s(s(s(s(0)))),\nT419 -> T437,\nX1426 -> T437,\nT436 -> T437", fontsize=14, style = filled, fillcolor = lightblue];
1438 -> 4863 [arrowhead = none ];
4863 -> 1454;

4864 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1438 -> 4864 [arrowhead = none ];
4864 -> 1455;

4865 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1454 -> 4865 [arrowhead = none ];
4865 -> 1458;

4866 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1458 -> 4866 [arrowhead = none ];
4866 -> 1459;

4867 [label="ONLY EVAL with clause\np(s(X1437), X1437).\nand substitutionX1437 -> s(s(0)),\nX1427 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
1459 -> 4867 [arrowhead = none ];
4867 -> 1473;

4868 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1473 -> 4868 [arrowhead = none ];
4868 -> 1476;

4869 [label="EVAL with clause\nquot(0, s(X1447), s(X1448), X1449) :- ','(!_102, eq(X1449, 0)).\nand substitutionT435 -> 0,\nX1447 -> s(0),\nX1448 -> s(s(s(0))),\nT437 -> T444,\nX1449 -> T444,\nT443 -> T444", fontsize=14, style = filled, fillcolor = lightblue];
1476 -> 4869 [arrowhead = none ];
4869 -> 1493;

4870 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1476 -> 4870 [arrowhead = none ];
4870 -> 1495;

4871 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1493 -> 4871 [arrowhead = none ];
4871 -> 1496;

4872 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1495 -> 4872 [arrowhead = none ];
4872 -> 1503;

4873 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1496 -> 4873 [arrowhead = none ];
4873 -> 1497;

4874 [label="EVAL with clause\neq(X1452, X1452).\nand substitutionT444 -> 0,\nX1452 -> 0,\nT447 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1497 -> 4874 [arrowhead = none ];
4874 -> 1499;

4875 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1497 -> 4875 [arrowhead = none ];
4875 -> 1500;

4876 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1499 -> 4876 [arrowhead = none ];
4876 -> 1502;

4877 [label="EVAL with clause\nquot(s(X1465), X1466, X1467, X1468) :- ','(p(X1466, X1469), quot(X1465, X1469, X1467, X1468)).\nand substitutionX1465 -> T453,\nT435 -> s(T453),\nX1466 -> s(s(0)),\nX1467 -> s(s(s(s(0)))),\nT437 -> T455,\nX1468 -> T455,\nT454 -> T455", fontsize=14, style = filled, fillcolor = lightblue];
1503 -> 4877 [arrowhead = none ];
4877 -> 1517;

4878 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1503 -> 4878 [arrowhead = none ];
4878 -> 1518;

4879 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1517 -> 4879 [arrowhead = none ];
4879 -> 1519;

4880 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1519 -> 4880 [arrowhead = none ];
4880 -> 1520;

4881 [label="ONLY EVAL with clause\np(s(X1479), X1479).\nand substitutionX1479 -> s(0),\nX1469 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
1520 -> 4881 [arrowhead = none ];
4881 -> 1524;

4882 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1524 -> 4882 [arrowhead = none ];
4882 -> 1527;

4883 [label="EVAL with clause\nquot(0, s(X1489), s(X1490), X1491) :- ','(!_105, eq(X1491, 0)).\nand substitutionT453 -> 0,\nX1489 -> 0,\nX1490 -> s(s(s(0))),\nT455 -> T462,\nX1491 -> T462,\nT461 -> T462", fontsize=14, style = filled, fillcolor = lightblue];
1527 -> 4883 [arrowhead = none ];
4883 -> 1537;

4884 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1527 -> 4884 [arrowhead = none ];
4884 -> 1538;

4885 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1537 -> 4885 [arrowhead = none ];
4885 -> 1539;

4886 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1538 -> 4886 [arrowhead = none ];
4886 -> 1545;

4887 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1539 -> 4887 [arrowhead = none ];
4887 -> 1540;

4888 [label="EVAL with clause\neq(X1494, X1494).\nand substitutionT462 -> 0,\nX1494 -> 0,\nT465 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1540 -> 4888 [arrowhead = none ];
4888 -> 1542;

4889 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1540 -> 4889 [arrowhead = none ];
4889 -> 1543;

4890 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1542 -> 4890 [arrowhead = none ];
4890 -> 1544;

4891 [label="EVAL with clause\nquot(s(X1507), X1508, X1509, X1510) :- ','(p(X1508, X1511), quot(X1507, X1511, X1509, X1510)).\nand substitutionX1507 -> T471,\nT453 -> s(T471),\nX1508 -> s(0),\nX1509 -> s(s(s(s(0)))),\nT455 -> T473,\nX1510 -> T473,\nT472 -> T473", fontsize=14, style = filled, fillcolor = lightblue];
1545 -> 4891 [arrowhead = none ];
4891 -> 1555;

4892 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1545 -> 4892 [arrowhead = none ];
4892 -> 1556;

4893 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1555 -> 4893 [arrowhead = none ];
4893 -> 1557;

4894 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1557 -> 4894 [arrowhead = none ];
4894 -> 1558;

4895 [label="ONLY EVAL with clause\np(s(X1521), X1521).\nand substitutionX1521 -> 0,\nX1511 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1558 -> 4895 [arrowhead = none ];
4895 -> 1563;

4896 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1563 -> 4896 [arrowhead = none ];
4896 -> 1567;

4897 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1567 -> 4897 [arrowhead = none ];
4897 -> 1568;

4898 [label="ONLY EVAL with clause\nquot(X1536, 0, X1537, X1538) :- ','(!_108, ','(eq(X1537, s(X1539)), ','(p(X1538, X1540), quot(X1536, X1537, X1537, X1540)))).\nand substitutionT471 -> T480,\nX1536 -> T480,\nX1537 -> s(s(s(s(0)))),\nT473 -> T482,\nX1538 -> T482,\nT481 -> T482", fontsize=14, style = filled, fillcolor = lightblue];
1568 -> 4898 [arrowhead = none ];
4898 -> 1571;

4899 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1571 -> 4899 [arrowhead = none ];
4899 -> 1572;

4900 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1572 -> 4900 [arrowhead = none ];
4900 -> 1575;

4901 [label="ONLY EVAL with clause\neq(X1551, X1551).\nand substitutionX1551 -> s(s(s(s(0)))),\nX1539 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
1575 -> 4901 [arrowhead = none ];
4901 -> 1584;

4902 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1584 -> 4902 [arrowhead = none ];
4902 -> 1586;

4903 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1586 -> 4903 [arrowhead = none ];
4903 -> 1587;

4904 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1586 -> 4904 [arrowhead = none ];
4904 -> 1588;

4905 [label="EVAL with clause\np(0, 0).\nand substitutionT482 -> 0,\nX1540 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1587 -> 4905 [arrowhead = none ];
4905 -> 1589;

4906 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1587 -> 4906 [arrowhead = none ];
4906 -> 1590;

4907 [label="EVAL with clause\np(s(X1561), X1561).\nand substitutionX1561 -> T486,\nT482 -> s(T486),\nX1540 -> T486,\nT485 -> T486", fontsize=14, style = filled, fillcolor = lightblue];
1588 -> 4907 [arrowhead = none ];
4907 -> 1597;

4908 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1588 -> 4908 [arrowhead = none ];
4908 -> 1598;

4909 [label="INSTANCE with matching:\nT378 -> T480", fontsize=14, style = filled, fillcolor = lightgrey];
1589 -> 4909 [arrowhead = none , style=dashed];
4909 -> 1178[style=dashed];

4910 [label="INSTANCE with matching:\nT378 -> T480\nT403 -> T486", fontsize=14, style = filled, fillcolor = lightgrey];
1597 -> 4910 [arrowhead = none , style=dashed];
4910 -> 1346[style=dashed];

4911 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1610 -> 4911 [arrowhead = none ];
4911 -> 1614;

4912 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1614 -> 4912 [arrowhead = none ];
4912 -> 1615;

4913 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1614 -> 4913 [arrowhead = none ];
4913 -> 1616;

4914 [label="EVAL with clause\np(0, 0).\nand substitutionT495 -> 0,\nX1578 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1615 -> 4914 [arrowhead = none ];
4914 -> 1617;

4915 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1615 -> 4915 [arrowhead = none ];
4915 -> 1618;

4916 [label="EVAL with clause\np(s(X1588), X1588).\nand substitutionX1588 -> T502,\nT495 -> s(T502),\nX1578 -> T502", fontsize=14, style = filled, fillcolor = lightblue];
1616 -> 4916 [arrowhead = none ];
4916 -> 1624;

4917 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1616 -> 4917 [arrowhead = none ];
4917 -> 1625;

4918 [label="INSTANCE with matching:\nT471 -> T494\nT473 -> T497", fontsize=14, style = filled, fillcolor = lightgrey];
1617 -> 4918 [arrowhead = none , style=dashed];
4918 -> 1563[style=dashed];

4919 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1624 -> 4919 [arrowhead = none ];
4919 -> 1630;

4920 [label="EVAL with clause\nquot(0, s(X1598), s(X1599), X1600) :- ','(!_112, eq(X1600, 0)).\nand substitutionT494 -> 0,\nX1598 -> T509,\nT502 -> s(T509),\nX1599 -> s(s(s(s(s(T509))))),\nT497 -> T511,\nX1600 -> T511,\nT510 -> T511", fontsize=14, style = filled, fillcolor = lightblue];
1630 -> 4920 [arrowhead = none ];
4920 -> 1639;

4921 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1630 -> 4921 [arrowhead = none ];
4921 -> 1640;

4922 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1639 -> 4922 [arrowhead = none ];
4922 -> 1641;

4923 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1640 -> 4923 [arrowhead = none ];
4923 -> 1653;

4924 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1640 -> 4924 [arrowhead = none ];
4924 -> 1654;

4925 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1641 -> 4925 [arrowhead = none ];
4925 -> 1642;

4926 [label="EVAL with clause\neq(X1603, X1603).\nand substitutionT511 -> 0,\nX1603 -> 0,\nT514 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1642 -> 4926 [arrowhead = none ];
4926 -> 1649;

4927 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1642 -> 4927 [arrowhead = none ];
4927 -> 1650;

4928 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1649 -> 4928 [arrowhead = none ];
4928 -> 1651;

4929 [label="EVAL with clause\nquot(X1620, 0, X1621, X1622) :- ','(!_112, ','(eq(X1621, s(X1623)), ','(p(X1622, X1624), quot(X1620, X1621, X1621, X1624)))).\nand substitutionT494 -> T523,\nX1620 -> T523,\nT502 -> 0,\nX1621 -> s(s(s(s(s(0))))),\nT497 -> T525,\nX1622 -> T525,\nT524 -> T525", fontsize=14, style = filled, fillcolor = lightblue];
1653 -> 4929 [arrowhead = none ];
4929 -> 1666;

4930 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1653 -> 4930 [arrowhead = none ];
4930 -> 1667;

4931 [label="EVAL with clause\nquot(s(X2159), X2160, X2161, X2162) :- ','(p(X2160, X2163), quot(X2159, X2163, X2161, X2162)).\nand substitutionX2159 -> T661,\nT494 -> s(T661),\nT502 -> T662,\nX2160 -> T662,\nX2161 -> s(s(s(s(s(T662))))),\nT497 -> T664,\nX2162 -> T664,\nT663 -> T664", fontsize=14, style = filled, fillcolor = lightblue];
1654 -> 4931 [arrowhead = none ];
4931 -> 2167;

4932 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1654 -> 4932 [arrowhead = none ];
4932 -> 2168;

4933 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1666 -> 4933 [arrowhead = none ];
4933 -> 1668;

4934 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1668 -> 4934 [arrowhead = none ];
4934 -> 1670;

4935 [label="ONLY EVAL with clause\neq(X1635, X1635).\nand substitutionX1635 -> s(s(s(s(s(0))))),\nX1623 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
1670 -> 4935 [arrowhead = none ];
4935 -> 1672;

4936 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1672 -> 4936 [arrowhead = none ];
4936 -> 1675;

4937 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1675 -> 4937 [arrowhead = none ];
4937 -> 1676;

4938 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1675 -> 4938 [arrowhead = none ];
4938 -> 1677;

4939 [label="EVAL with clause\np(0, 0).\nand substitutionT525 -> 0,\nX1624 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1676 -> 4939 [arrowhead = none ];
4939 -> 1678;

4940 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1676 -> 4940 [arrowhead = none ];
4940 -> 1679;

4941 [label="EVAL with clause\np(s(X1896), X1896).\nand substitutionX1896 -> T552,\nT525 -> s(T552),\nX1624 -> T552,\nT551 -> T552", fontsize=14, style = filled, fillcolor = lightblue];
1677 -> 4941 [arrowhead = none ];
4941 -> 1904;

4942 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1677 -> 4942 [arrowhead = none ];
4942 -> 1905;

4943 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1678 -> 4943 [arrowhead = none ];
4943 -> 1686;

4944 [label="EVAL with clause\nquot(0, s(X1649), s(X1650), X1651) :- ','(!_116, eq(X1651, 0)).\nand substitutionT523 -> 0,\nX1649 -> s(s(s(s(0)))),\nX1650 -> s(s(s(s(0)))),\nX1651 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1686 -> 4944 [arrowhead = none ];
4944 -> 1692;

4945 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1686 -> 4945 [arrowhead = none ];
4945 -> 1693;

4946 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1692 -> 4946 [arrowhead = none ];
4946 -> 1694;

4947 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1693 -> 4947 [arrowhead = none ];
4947 -> 1698;

4948 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1694 -> 4948 [arrowhead = none ];
4948 -> 1695;

4949 [label="ONLY EVAL with clause\neq(X1654, X1654).\nand substitutionX1654 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1695 -> 4949 [arrowhead = none ];
4949 -> 1696;

4950 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1696 -> 4950 [arrowhead = none ];
4950 -> 1697;

4951 [label="EVAL with clause\nquot(s(X1667), X1668, X1669, X1670) :- ','(p(X1668, X1671), quot(X1667, X1671, X1669, X1670)).\nand substitutionX1667 -> T529,\nT523 -> s(T529),\nX1668 -> s(s(s(s(s(0))))),\nX1669 -> s(s(s(s(s(0))))),\nX1670 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1698 -> 4951 [arrowhead = none ];
4951 -> 1710;

4952 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1698 -> 4952 [arrowhead = none ];
4952 -> 1711;

4953 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1710 -> 4953 [arrowhead = none ];
4953 -> 1713;

4954 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1713 -> 4954 [arrowhead = none ];
4954 -> 1714;

4955 [label="ONLY EVAL with clause\np(s(X1681), X1681).\nand substitutionX1681 -> s(s(s(s(0)))),\nX1671 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
1714 -> 4955 [arrowhead = none ];
4955 -> 1715;

4956 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1715 -> 4956 [arrowhead = none ];
4956 -> 1721;

4957 [label="EVAL with clause\nquot(0, s(X1691), s(X1692), X1693) :- ','(!_119, eq(X1693, 0)).\nand substitutionT529 -> 0,\nX1691 -> s(s(s(0))),\nX1692 -> s(s(s(s(0)))),\nX1693 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1721 -> 4957 [arrowhead = none ];
4957 -> 1727;

4958 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1721 -> 4958 [arrowhead = none ];
4958 -> 1728;

4959 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1727 -> 4959 [arrowhead = none ];
4959 -> 1729;

4960 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1728 -> 4960 [arrowhead = none ];
4960 -> 1737;

4961 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1729 -> 4961 [arrowhead = none ];
4961 -> 1730;

4962 [label="ONLY EVAL with clause\neq(X1696, X1696).\nand substitutionX1696 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1730 -> 4962 [arrowhead = none ];
4962 -> 1734;

4963 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1734 -> 4963 [arrowhead = none ];
4963 -> 1735;

4964 [label="EVAL with clause\nquot(s(X1709), X1710, X1711, X1712) :- ','(p(X1710, X1713), quot(X1709, X1713, X1711, X1712)).\nand substitutionX1709 -> T533,\nT529 -> s(T533),\nX1710 -> s(s(s(s(0)))),\nX1711 -> s(s(s(s(s(0))))),\nX1712 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1737 -> 4964 [arrowhead = none ];
4964 -> 1745;

4965 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1737 -> 4965 [arrowhead = none ];
4965 -> 1746;

4966 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1745 -> 4966 [arrowhead = none ];
4966 -> 1749;

4967 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1749 -> 4967 [arrowhead = none ];
4967 -> 1750;

4968 [label="ONLY EVAL with clause\np(s(X1723), X1723).\nand substitutionX1723 -> s(s(s(0))),\nX1713 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
1750 -> 4968 [arrowhead = none ];
4968 -> 1753;

4969 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1753 -> 4969 [arrowhead = none ];
4969 -> 1757;

4970 [label="EVAL with clause\nquot(0, s(X1733), s(X1734), X1735) :- ','(!_122, eq(X1735, 0)).\nand substitutionT533 -> 0,\nX1733 -> s(s(0)),\nX1734 -> s(s(s(s(0)))),\nX1735 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1757 -> 4970 [arrowhead = none ];
4970 -> 1763;

4971 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1757 -> 4971 [arrowhead = none ];
4971 -> 1764;

4972 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1763 -> 4972 [arrowhead = none ];
4972 -> 1765;

4973 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1764 -> 4973 [arrowhead = none ];
4973 -> 1770;

4974 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1765 -> 4974 [arrowhead = none ];
4974 -> 1766;

4975 [label="ONLY EVAL with clause\neq(X1738, X1738).\nand substitutionX1738 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1766 -> 4975 [arrowhead = none ];
4975 -> 1768;

4976 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1768 -> 4976 [arrowhead = none ];
4976 -> 1769;

4977 [label="EVAL with clause\nquot(s(X1751), X1752, X1753, X1754) :- ','(p(X1752, X1755), quot(X1751, X1755, X1753, X1754)).\nand substitutionX1751 -> T537,\nT533 -> s(T537),\nX1752 -> s(s(s(0))),\nX1753 -> s(s(s(s(s(0))))),\nX1754 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1770 -> 4977 [arrowhead = none ];
4977 -> 1781;

4978 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1770 -> 4978 [arrowhead = none ];
4978 -> 1782;

4979 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1781 -> 4979 [arrowhead = none ];
4979 -> 1784;

4980 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1784 -> 4980 [arrowhead = none ];
4980 -> 1785;

4981 [label="ONLY EVAL with clause\np(s(X1765), X1765).\nand substitutionX1765 -> s(s(0)),\nX1755 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
1785 -> 4981 [arrowhead = none ];
4981 -> 1789;

4982 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1789 -> 4982 [arrowhead = none ];
4982 -> 1793;

4983 [label="EVAL with clause\nquot(0, s(X1775), s(X1776), X1777) :- ','(!_125, eq(X1777, 0)).\nand substitutionT537 -> 0,\nX1775 -> s(0),\nX1776 -> s(s(s(s(0)))),\nX1777 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1793 -> 4983 [arrowhead = none ];
4983 -> 1798;

4984 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1793 -> 4984 [arrowhead = none ];
4984 -> 1799;

4985 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1798 -> 4985 [arrowhead = none ];
4985 -> 1800;

4986 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1799 -> 4986 [arrowhead = none ];
4986 -> 1807;

4987 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1800 -> 4987 [arrowhead = none ];
4987 -> 1801;

4988 [label="ONLY EVAL with clause\neq(X1780, X1780).\nand substitutionX1780 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1801 -> 4988 [arrowhead = none ];
4988 -> 1803;

4989 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1803 -> 4989 [arrowhead = none ];
4989 -> 1804;

4990 [label="EVAL with clause\nquot(s(X1793), X1794, X1795, X1796) :- ','(p(X1794, X1797), quot(X1793, X1797, X1795, X1796)).\nand substitutionX1793 -> T541,\nT537 -> s(T541),\nX1794 -> s(s(0)),\nX1795 -> s(s(s(s(s(0))))),\nX1796 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1807 -> 4990 [arrowhead = none ];
4990 -> 1816;

4991 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1807 -> 4991 [arrowhead = none ];
4991 -> 1817;

4992 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1816 -> 4992 [arrowhead = none ];
4992 -> 1822;

4993 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1822 -> 4993 [arrowhead = none ];
4993 -> 1823;

4994 [label="ONLY EVAL with clause\np(s(X1807), X1807).\nand substitutionX1807 -> s(0),\nX1797 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
1823 -> 4994 [arrowhead = none ];
4994 -> 1827;

4995 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1827 -> 4995 [arrowhead = none ];
4995 -> 1831;

4996 [label="EVAL with clause\nquot(0, s(X1817), s(X1818), X1819) :- ','(!_128, eq(X1819, 0)).\nand substitutionT541 -> 0,\nX1817 -> 0,\nX1818 -> s(s(s(s(0)))),\nX1819 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1831 -> 4996 [arrowhead = none ];
4996 -> 1835;

4997 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1831 -> 4997 [arrowhead = none ];
4997 -> 1836;

4998 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1835 -> 4998 [arrowhead = none ];
4998 -> 1837;

4999 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1836 -> 4999 [arrowhead = none ];
4999 -> 1847;

5000 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1837 -> 5000 [arrowhead = none ];
5000 -> 1838;

5001 [label="ONLY EVAL with clause\neq(X1822, X1822).\nand substitutionX1822 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1838 -> 5001 [arrowhead = none ];
5001 -> 1842;

5002 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1842 -> 5002 [arrowhead = none ];
5002 -> 1843;

5003 [label="EVAL with clause\nquot(s(X1835), X1836, X1837, X1838) :- ','(p(X1836, X1839), quot(X1835, X1839, X1837, X1838)).\nand substitutionX1835 -> T545,\nT541 -> s(T545),\nX1836 -> s(0),\nX1837 -> s(s(s(s(s(0))))),\nX1838 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1847 -> 5003 [arrowhead = none ];
5003 -> 1852;

5004 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1847 -> 5004 [arrowhead = none ];
5004 -> 1853;

5005 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1852 -> 5005 [arrowhead = none ];
5005 -> 1855;

5006 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1855 -> 5006 [arrowhead = none ];
5006 -> 1856;

5007 [label="ONLY EVAL with clause\np(s(X1849), X1849).\nand substitutionX1849 -> 0,\nX1839 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1856 -> 5007 [arrowhead = none ];
5007 -> 1862;

5008 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1862 -> 5008 [arrowhead = none ];
5008 -> 1867;

5009 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1867 -> 5009 [arrowhead = none ];
5009 -> 1871;

5010 [label="ONLY EVAL with clause\nquot(X1864, 0, X1865, X1866) :- ','(!_131, ','(eq(X1865, s(X1867)), ','(p(X1866, X1868), quot(X1864, X1865, X1865, X1868)))).\nand substitutionT545 -> T548,\nX1864 -> T548,\nX1865 -> s(s(s(s(s(0))))),\nX1866 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1871 -> 5010 [arrowhead = none ];
5010 -> 1876;

5011 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1876 -> 5011 [arrowhead = none ];
5011 -> 1877;

5012 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1877 -> 5012 [arrowhead = none ];
5012 -> 1880;

5013 [label="ONLY EVAL with clause\neq(X1879, X1879).\nand substitutionX1879 -> s(s(s(s(s(0))))),\nX1867 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
1880 -> 5013 [arrowhead = none ];
5013 -> 1884;

5014 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1884 -> 5014 [arrowhead = none ];
5014 -> 1886;

5015 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1886 -> 5015 [arrowhead = none ];
5015 -> 1891;

5016 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1886 -> 5016 [arrowhead = none ];
5016 -> 1892;

5017 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX1868 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1891 -> 5017 [arrowhead = none ];
5017 -> 1897;

5018 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1892 -> 5018 [arrowhead = none ];
5018 -> 1899;

5019 [label="INSTANCE with matching:\nT523 -> T548", fontsize=14, style = filled, fillcolor = lightgrey];
1897 -> 5019 [arrowhead = none , style=dashed];
5019 -> 1678[style=dashed];

5020 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1904 -> 5020 [arrowhead = none ];
5020 -> 1909;

5021 [label="EVAL with clause\nquot(0, s(X1906), s(X1907), X1908) :- ','(!_134, eq(X1908, 0)).\nand substitutionT523 -> 0,\nX1906 -> s(s(s(s(0)))),\nX1907 -> s(s(s(s(0)))),\nT552 -> T557,\nX1908 -> T557,\nT556 -> T557", fontsize=14, style = filled, fillcolor = lightblue];
1909 -> 5021 [arrowhead = none ];
5021 -> 1915;

5022 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1909 -> 5022 [arrowhead = none ];
5022 -> 1916;

5023 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1915 -> 5023 [arrowhead = none ];
5023 -> 1917;

5024 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1916 -> 5024 [arrowhead = none ];
5024 -> 1926;

5025 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1917 -> 5025 [arrowhead = none ];
5025 -> 1918;

5026 [label="EVAL with clause\neq(X1911, X1911).\nand substitutionT557 -> 0,\nX1911 -> 0,\nT560 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1918 -> 5026 [arrowhead = none ];
5026 -> 1920;

5027 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1918 -> 5027 [arrowhead = none ];
5027 -> 1921;

5028 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1920 -> 5028 [arrowhead = none ];
5028 -> 1922;

5029 [label="EVAL with clause\nquot(s(X1924), X1925, X1926, X1927) :- ','(p(X1925, X1928), quot(X1924, X1928, X1926, X1927)).\nand substitutionX1924 -> T566,\nT523 -> s(T566),\nX1925 -> s(s(s(s(s(0))))),\nX1926 -> s(s(s(s(s(0))))),\nT552 -> T568,\nX1927 -> T568,\nT567 -> T568", fontsize=14, style = filled, fillcolor = lightblue];
1926 -> 5029 [arrowhead = none ];
5029 -> 1937;

5030 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1926 -> 5030 [arrowhead = none ];
5030 -> 1938;

5031 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1937 -> 5031 [arrowhead = none ];
5031 -> 1941;

5032 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1941 -> 5032 [arrowhead = none ];
5032 -> 1942;

5033 [label="ONLY EVAL with clause\np(s(X1938), X1938).\nand substitutionX1938 -> s(s(s(s(0)))),\nX1928 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
1942 -> 5033 [arrowhead = none ];
5033 -> 1943;

5034 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1943 -> 5034 [arrowhead = none ];
5034 -> 1950;

5035 [label="EVAL with clause\nquot(0, s(X1948), s(X1949), X1950) :- ','(!_137, eq(X1950, 0)).\nand substitutionT566 -> 0,\nX1948 -> s(s(s(0))),\nX1949 -> s(s(s(s(0)))),\nT568 -> T575,\nX1950 -> T575,\nT574 -> T575", fontsize=14, style = filled, fillcolor = lightblue];
1950 -> 5035 [arrowhead = none ];
5035 -> 1958;

5036 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1950 -> 5036 [arrowhead = none ];
5036 -> 1959;

5037 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
1958 -> 5037 [arrowhead = none ];
5037 -> 1960;

5038 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1959 -> 5038 [arrowhead = none ];
5038 -> 1966;

5039 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1960 -> 5039 [arrowhead = none ];
5039 -> 1961;

5040 [label="EVAL with clause\neq(X1953, X1953).\nand substitutionT575 -> 0,\nX1953 -> 0,\nT578 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
1961 -> 5040 [arrowhead = none ];
5040 -> 1962;

5041 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1961 -> 5041 [arrowhead = none ];
5041 -> 1963;

5042 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1962 -> 5042 [arrowhead = none ];
5042 -> 1964;

5043 [label="EVAL with clause\nquot(s(X1966), X1967, X1968, X1969) :- ','(p(X1967, X1970), quot(X1966, X1970, X1968, X1969)).\nand substitutionX1966 -> T584,\nT566 -> s(T584),\nX1967 -> s(s(s(s(0)))),\nX1968 -> s(s(s(s(s(0))))),\nT568 -> T586,\nX1969 -> T586,\nT585 -> T586", fontsize=14, style = filled, fillcolor = lightblue];
1966 -> 5043 [arrowhead = none ];
5043 -> 1979;

5044 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1966 -> 5044 [arrowhead = none ];
5044 -> 1980;

5045 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1979 -> 5045 [arrowhead = none ];
5045 -> 1982;

5046 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
1982 -> 5046 [arrowhead = none ];
5046 -> 1984;

5047 [label="ONLY EVAL with clause\np(s(X1980), X1980).\nand substitutionX1980 -> s(s(s(0))),\nX1970 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
1984 -> 5047 [arrowhead = none ];
5047 -> 1985;

5048 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1985 -> 5048 [arrowhead = none ];
5048 -> 1992;

5049 [label="EVAL with clause\nquot(0, s(X1990), s(X1991), X1992) :- ','(!_140, eq(X1992, 0)).\nand substitutionT584 -> 0,\nX1990 -> s(s(0)),\nX1991 -> s(s(s(s(0)))),\nT586 -> T593,\nX1992 -> T593,\nT592 -> T593", fontsize=14, style = filled, fillcolor = lightblue];
1992 -> 5049 [arrowhead = none ];
5049 -> 2000;

5050 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1992 -> 5050 [arrowhead = none ];
5050 -> 2001;

5051 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2000 -> 5051 [arrowhead = none ];
5051 -> 2002;

5052 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2001 -> 5052 [arrowhead = none ];
5052 -> 2008;

5053 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2002 -> 5053 [arrowhead = none ];
5053 -> 2003;

5054 [label="EVAL with clause\neq(X1995, X1995).\nand substitutionT593 -> 0,\nX1995 -> 0,\nT596 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2003 -> 5054 [arrowhead = none ];
5054 -> 2004;

5055 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2003 -> 5055 [arrowhead = none ];
5055 -> 2006;

5056 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2004 -> 5056 [arrowhead = none ];
5056 -> 2007;

5057 [label="EVAL with clause\nquot(s(X2008), X2009, X2010, X2011) :- ','(p(X2009, X2012), quot(X2008, X2012, X2010, X2011)).\nand substitutionX2008 -> T602,\nT584 -> s(T602),\nX2009 -> s(s(s(0))),\nX2010 -> s(s(s(s(s(0))))),\nT586 -> T604,\nX2011 -> T604,\nT603 -> T604", fontsize=14, style = filled, fillcolor = lightblue];
2008 -> 5057 [arrowhead = none ];
5057 -> 2021;

5058 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2008 -> 5058 [arrowhead = none ];
5058 -> 2022;

5059 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2021 -> 5059 [arrowhead = none ];
5059 -> 2024;

5060 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2024 -> 5060 [arrowhead = none ];
5060 -> 2025;

5061 [label="ONLY EVAL with clause\np(s(X2022), X2022).\nand substitutionX2022 -> s(s(0)),\nX2012 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
2025 -> 5061 [arrowhead = none ];
5061 -> 2028;

5062 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2028 -> 5062 [arrowhead = none ];
5062 -> 2031;

5063 [label="EVAL with clause\nquot(0, s(X2032), s(X2033), X2034) :- ','(!_143, eq(X2034, 0)).\nand substitutionT602 -> 0,\nX2032 -> s(0),\nX2033 -> s(s(s(s(0)))),\nT604 -> T611,\nX2034 -> T611,\nT610 -> T611", fontsize=14, style = filled, fillcolor = lightblue];
2031 -> 5063 [arrowhead = none ];
5063 -> 2037;

5064 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2031 -> 5064 [arrowhead = none ];
5064 -> 2038;

5065 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2037 -> 5065 [arrowhead = none ];
5065 -> 2039;

5066 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2038 -> 5066 [arrowhead = none ];
5066 -> 2046;

5067 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2039 -> 5067 [arrowhead = none ];
5067 -> 2040;

5068 [label="EVAL with clause\neq(X2037, X2037).\nand substitutionT611 -> 0,\nX2037 -> 0,\nT614 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2040 -> 5068 [arrowhead = none ];
5068 -> 2043;

5069 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2040 -> 5069 [arrowhead = none ];
5069 -> 2044;

5070 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2043 -> 5070 [arrowhead = none ];
5070 -> 2045;

5071 [label="EVAL with clause\nquot(s(X2050), X2051, X2052, X2053) :- ','(p(X2051, X2054), quot(X2050, X2054, X2052, X2053)).\nand substitutionX2050 -> T620,\nT602 -> s(T620),\nX2051 -> s(s(0)),\nX2052 -> s(s(s(s(s(0))))),\nT604 -> T622,\nX2053 -> T622,\nT621 -> T622", fontsize=14, style = filled, fillcolor = lightblue];
2046 -> 5071 [arrowhead = none ];
5071 -> 2061;

5072 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2046 -> 5072 [arrowhead = none ];
5072 -> 2062;

5073 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2061 -> 5073 [arrowhead = none ];
5073 -> 2065;

5074 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2065 -> 5074 [arrowhead = none ];
5074 -> 2066;

5075 [label="ONLY EVAL with clause\np(s(X2064), X2064).\nand substitutionX2064 -> s(0),\nX2054 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
2066 -> 5075 [arrowhead = none ];
5075 -> 2067;

5076 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2067 -> 5076 [arrowhead = none ];
5076 -> 2070;

5077 [label="EVAL with clause\nquot(0, s(X2074), s(X2075), X2076) :- ','(!_146, eq(X2076, 0)).\nand substitutionT620 -> 0,\nX2074 -> 0,\nX2075 -> s(s(s(s(0)))),\nT622 -> T629,\nX2076 -> T629,\nT628 -> T629", fontsize=14, style = filled, fillcolor = lightblue];
2070 -> 5077 [arrowhead = none ];
5077 -> 2081;

5078 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2070 -> 5078 [arrowhead = none ];
5078 -> 2082;

5079 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2081 -> 5079 [arrowhead = none ];
5079 -> 2083;

5080 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2082 -> 5080 [arrowhead = none ];
5080 -> 2090;

5081 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2083 -> 5081 [arrowhead = none ];
5081 -> 2084;

5082 [label="EVAL with clause\neq(X2079, X2079).\nand substitutionT629 -> 0,\nX2079 -> 0,\nT632 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2084 -> 5082 [arrowhead = none ];
5082 -> 2086;

5083 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2084 -> 5083 [arrowhead = none ];
5083 -> 2087;

5084 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2086 -> 5084 [arrowhead = none ];
5084 -> 2088;

5085 [label="EVAL with clause\nquot(s(X2092), X2093, X2094, X2095) :- ','(p(X2093, X2096), quot(X2092, X2096, X2094, X2095)).\nand substitutionX2092 -> T638,\nT620 -> s(T638),\nX2093 -> s(0),\nX2094 -> s(s(s(s(s(0))))),\nT622 -> T640,\nX2095 -> T640,\nT639 -> T640", fontsize=14, style = filled, fillcolor = lightblue];
2090 -> 5085 [arrowhead = none ];
5085 -> 2096;

5086 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2090 -> 5086 [arrowhead = none ];
5086 -> 2097;

5087 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2096 -> 5087 [arrowhead = none ];
5087 -> 2099;

5088 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2099 -> 5088 [arrowhead = none ];
5088 -> 2100;

5089 [label="ONLY EVAL with clause\np(s(X2106), X2106).\nand substitutionX2106 -> 0,\nX2096 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2100 -> 5089 [arrowhead = none ];
5089 -> 2106;

5090 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2106 -> 5090 [arrowhead = none ];
5090 -> 2115;

5091 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2115 -> 5091 [arrowhead = none ];
5091 -> 2116;

5092 [label="ONLY EVAL with clause\nquot(X2121, 0, X2122, X2123) :- ','(!_149, ','(eq(X2122, s(X2124)), ','(p(X2123, X2125), quot(X2121, X2122, X2122, X2125)))).\nand substitutionT638 -> T647,\nX2121 -> T647,\nX2122 -> s(s(s(s(s(0))))),\nT640 -> T649,\nX2123 -> T649,\nT648 -> T649", fontsize=14, style = filled, fillcolor = lightblue];
2116 -> 5092 [arrowhead = none ];
5092 -> 2121;

5093 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2121 -> 5093 [arrowhead = none ];
5093 -> 2122;

5094 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2122 -> 5094 [arrowhead = none ];
5094 -> 2126;

5095 [label="ONLY EVAL with clause\neq(X2136, X2136).\nand substitutionX2136 -> s(s(s(s(s(0))))),\nX2124 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
2126 -> 5095 [arrowhead = none ];
5095 -> 2130;

5096 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2130 -> 5096 [arrowhead = none ];
5096 -> 2137;

5097 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2137 -> 5097 [arrowhead = none ];
5097 -> 2138;

5098 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2137 -> 5098 [arrowhead = none ];
5098 -> 2139;

5099 [label="EVAL with clause\np(0, 0).\nand substitutionT649 -> 0,\nX2125 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2138 -> 5099 [arrowhead = none ];
5099 -> 2140;

5100 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2138 -> 5100 [arrowhead = none ];
5100 -> 2141;

5101 [label="EVAL with clause\np(s(X2146), X2146).\nand substitutionX2146 -> T653,\nT649 -> s(T653),\nX2125 -> T653,\nT652 -> T653", fontsize=14, style = filled, fillcolor = lightblue];
2139 -> 5101 [arrowhead = none ];
5101 -> 2150;

5102 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2139 -> 5102 [arrowhead = none ];
5102 -> 2151;

5103 [label="INSTANCE with matching:\nT523 -> T647", fontsize=14, style = filled, fillcolor = lightgrey];
2140 -> 5103 [arrowhead = none , style=dashed];
5103 -> 1678[style=dashed];

5104 [label="INSTANCE with matching:\nT523 -> T647\nT552 -> T653", fontsize=14, style = filled, fillcolor = lightgrey];
2150 -> 5104 [arrowhead = none , style=dashed];
5104 -> 1904[style=dashed];

5105 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2167 -> 5105 [arrowhead = none ];
5105 -> 2169;

5106 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2169 -> 5106 [arrowhead = none ];
5106 -> 2170;

5107 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2169 -> 5107 [arrowhead = none ];
5107 -> 2171;

5108 [label="EVAL with clause\np(0, 0).\nand substitutionT662 -> 0,\nX2163 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2170 -> 5108 [arrowhead = none ];
5108 -> 2172;

5109 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2170 -> 5109 [arrowhead = none ];
5109 -> 2173;

5110 [label="EVAL with clause\np(s(X2173), X2173).\nand substitutionX2173 -> T669,\nT662 -> s(T669),\nX2163 -> T669", fontsize=14, style = filled, fillcolor = lightblue];
2171 -> 5110 [arrowhead = none ];
5110 -> 2180;

5111 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2171 -> 5111 [arrowhead = none ];
5111 -> 2181;

5112 [label="INSTANCE with matching:\nT638 -> T661\nT640 -> T664", fontsize=14, style = filled, fillcolor = lightgrey];
2172 -> 5112 [arrowhead = none , style=dashed];
5112 -> 2106[style=dashed];

5113 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2180 -> 5113 [arrowhead = none ];
5113 -> 2186;

5114 [label="EVAL with clause\nquot(0, s(X2183), s(X2184), X2185) :- ','(!_153, eq(X2185, 0)).\nand substitutionT661 -> 0,\nX2183 -> T676,\nT669 -> s(T676),\nX2184 -> s(s(s(s(s(s(T676)))))),\nT664 -> T678,\nX2185 -> T678,\nT677 -> T678", fontsize=14, style = filled, fillcolor = lightblue];
2186 -> 5114 [arrowhead = none ];
5114 -> 2190;

5115 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2186 -> 5115 [arrowhead = none ];
5115 -> 2191;

5116 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2190 -> 5116 [arrowhead = none ];
5116 -> 2192;

5117 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2191 -> 5117 [arrowhead = none ];
5117 -> 2210;

5118 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2191 -> 5118 [arrowhead = none ];
5118 -> 2211;

5119 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2192 -> 5119 [arrowhead = none ];
5119 -> 2193;

5120 [label="EVAL with clause\neq(X2188, X2188).\nand substitutionT678 -> 0,\nX2188 -> 0,\nT681 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2193 -> 5120 [arrowhead = none ];
5120 -> 2203;

5121 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2193 -> 5121 [arrowhead = none ];
5121 -> 2204;

5122 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2203 -> 5122 [arrowhead = none ];
5122 -> 2205;

5123 [label="EVAL with clause\nquot(X2205, 0, X2206, X2207) :- ','(!_153, ','(eq(X2206, s(X2208)), ','(p(X2207, X2209), quot(X2205, X2206, X2206, X2209)))).\nand substitutionT661 -> T690,\nX2205 -> T690,\nT669 -> 0,\nX2206 -> s(s(s(s(s(s(0)))))),\nT664 -> T692,\nX2207 -> T692,\nT691 -> T692", fontsize=14, style = filled, fillcolor = lightblue];
2210 -> 5123 [arrowhead = none ];
5123 -> 2223;

5124 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2210 -> 5124 [arrowhead = none ];
5124 -> 2224;

5125 [label="EVAL with clause\nquot(s(X2828), X2829, X2830, X2831) :- ','(p(X2829, X2832), quot(X2828, X2832, X2830, X2831)).\nand substitutionX2828 -> T850,\nT661 -> s(T850),\nT669 -> T851,\nX2829 -> T851,\nX2830 -> s(s(s(s(s(s(T851)))))),\nT664 -> T853,\nX2831 -> T853,\nT852 -> T853", fontsize=14, style = filled, fillcolor = lightblue];
2211 -> 5125 [arrowhead = none ];
5125 -> 2824;

5126 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2211 -> 5126 [arrowhead = none ];
5126 -> 2825;

5127 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2223 -> 5127 [arrowhead = none ];
5127 -> 2225;

5128 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2225 -> 5128 [arrowhead = none ];
5128 -> 2227;

5129 [label="ONLY EVAL with clause\neq(X2220, X2220).\nand substitutionX2220 -> s(s(s(s(s(s(0)))))),\nX2208 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
2227 -> 5129 [arrowhead = none ];
5129 -> 2233;

5130 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2233 -> 5130 [arrowhead = none ];
5130 -> 2235;

5131 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2235 -> 5131 [arrowhead = none ];
5131 -> 2236;

5132 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2235 -> 5132 [arrowhead = none ];
5132 -> 2237;

5133 [label="EVAL with clause\np(0, 0).\nand substitutionT692 -> 0,\nX2209 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2236 -> 5133 [arrowhead = none ];
5133 -> 2238;

5134 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2236 -> 5134 [arrowhead = none ];
5134 -> 2239;

5135 [label="EVAL with clause\np(s(X2523), X2523).\nand substitutionX2523 -> T723,\nT692 -> s(T723),\nX2209 -> T723,\nT722 -> T723", fontsize=14, style = filled, fillcolor = lightblue];
2237 -> 5135 [arrowhead = none ];
5135 -> 2508;

5136 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2237 -> 5136 [arrowhead = none ];
5136 -> 2509;

5137 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2238 -> 5137 [arrowhead = none ];
5137 -> 2245;

5138 [label="EVAL with clause\nquot(0, s(X2234), s(X2235), X2236) :- ','(!_157, eq(X2236, 0)).\nand substitutionT690 -> 0,\nX2234 -> s(s(s(s(s(0))))),\nX2235 -> s(s(s(s(s(0))))),\nX2236 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2245 -> 5138 [arrowhead = none ];
5138 -> 2253;

5139 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2245 -> 5139 [arrowhead = none ];
5139 -> 2254;

5140 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2253 -> 5140 [arrowhead = none ];
5140 -> 2255;

5141 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2254 -> 5141 [arrowhead = none ];
5141 -> 2262;

5142 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2255 -> 5142 [arrowhead = none ];
5142 -> 2256;

5143 [label="ONLY EVAL with clause\neq(X2239, X2239).\nand substitutionX2239 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2256 -> 5143 [arrowhead = none ];
5143 -> 2259;

5144 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2259 -> 5144 [arrowhead = none ];
5144 -> 2260;

5145 [label="EVAL with clause\nquot(s(X2252), X2253, X2254, X2255) :- ','(p(X2253, X2256), quot(X2252, X2256, X2254, X2255)).\nand substitutionX2252 -> T696,\nT690 -> s(T696),\nX2253 -> s(s(s(s(s(s(0)))))),\nX2254 -> s(s(s(s(s(s(0)))))),\nX2255 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2262 -> 5145 [arrowhead = none ];
5145 -> 2269;

5146 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2262 -> 5146 [arrowhead = none ];
5146 -> 2270;

5147 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2269 -> 5147 [arrowhead = none ];
5147 -> 2274;

5148 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2274 -> 5148 [arrowhead = none ];
5148 -> 2275;

5149 [label="ONLY EVAL with clause\np(s(X2266), X2266).\nand substitutionX2266 -> s(s(s(s(s(0))))),\nX2256 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
2275 -> 5149 [arrowhead = none ];
5149 -> 2278;

5150 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2278 -> 5150 [arrowhead = none ];
5150 -> 2280;

5151 [label="EVAL with clause\nquot(0, s(X2276), s(X2277), X2278) :- ','(!_160, eq(X2278, 0)).\nand substitutionT696 -> 0,\nX2276 -> s(s(s(s(0)))),\nX2277 -> s(s(s(s(s(0))))),\nX2278 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2280 -> 5151 [arrowhead = none ];
5151 -> 2292;

5152 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2280 -> 5152 [arrowhead = none ];
5152 -> 2293;

5153 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2292 -> 5153 [arrowhead = none ];
5153 -> 2294;

5154 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2293 -> 5154 [arrowhead = none ];
5154 -> 2301;

5155 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2294 -> 5155 [arrowhead = none ];
5155 -> 2295;

5156 [label="ONLY EVAL with clause\neq(X2281, X2281).\nand substitutionX2281 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2295 -> 5156 [arrowhead = none ];
5156 -> 2298;

5157 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2298 -> 5157 [arrowhead = none ];
5157 -> 2299;

5158 [label="EVAL with clause\nquot(s(X2294), X2295, X2296, X2297) :- ','(p(X2295, X2298), quot(X2294, X2298, X2296, X2297)).\nand substitutionX2294 -> T700,\nT696 -> s(T700),\nX2295 -> s(s(s(s(s(0))))),\nX2296 -> s(s(s(s(s(s(0)))))),\nX2297 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2301 -> 5158 [arrowhead = none ];
5158 -> 2308;

5159 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2301 -> 5159 [arrowhead = none ];
5159 -> 2309;

5160 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2308 -> 5160 [arrowhead = none ];
5160 -> 2313;

5161 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2313 -> 5161 [arrowhead = none ];
5161 -> 2314;

5162 [label="ONLY EVAL with clause\np(s(X2308), X2308).\nand substitutionX2308 -> s(s(s(s(0)))),\nX2298 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
2314 -> 5162 [arrowhead = none ];
5162 -> 2317;

5163 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2317 -> 5163 [arrowhead = none ];
5163 -> 2319;

5164 [label="EVAL with clause\nquot(0, s(X2318), s(X2319), X2320) :- ','(!_163, eq(X2320, 0)).\nand substitutionT700 -> 0,\nX2318 -> s(s(s(0))),\nX2319 -> s(s(s(s(s(0))))),\nX2320 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2319 -> 5164 [arrowhead = none ];
5164 -> 2330;

5165 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2319 -> 5165 [arrowhead = none ];
5165 -> 2332;

5166 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2330 -> 5166 [arrowhead = none ];
5166 -> 2333;

5167 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2332 -> 5167 [arrowhead = none ];
5167 -> 2340;

5168 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2333 -> 5168 [arrowhead = none ];
5168 -> 2334;

5169 [label="ONLY EVAL with clause\neq(X2323, X2323).\nand substitutionX2323 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2334 -> 5169 [arrowhead = none ];
5169 -> 2337;

5170 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2337 -> 5170 [arrowhead = none ];
5170 -> 2338;

5171 [label="EVAL with clause\nquot(s(X2336), X2337, X2338, X2339) :- ','(p(X2337, X2340), quot(X2336, X2340, X2338, X2339)).\nand substitutionX2336 -> T704,\nT700 -> s(T704),\nX2337 -> s(s(s(s(0)))),\nX2338 -> s(s(s(s(s(s(0)))))),\nX2339 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2340 -> 5171 [arrowhead = none ];
5171 -> 2347;

5172 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2340 -> 5172 [arrowhead = none ];
5172 -> 2348;

5173 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2347 -> 5173 [arrowhead = none ];
5173 -> 2351;

5174 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2351 -> 5174 [arrowhead = none ];
5174 -> 2352;

5175 [label="ONLY EVAL with clause\np(s(X2350), X2350).\nand substitutionX2350 -> s(s(s(0))),\nX2340 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
2352 -> 5175 [arrowhead = none ];
5175 -> 2355;

5176 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2355 -> 5176 [arrowhead = none ];
5176 -> 2358;

5177 [label="EVAL with clause\nquot(0, s(X2360), s(X2361), X2362) :- ','(!_166, eq(X2362, 0)).\nand substitutionT704 -> 0,\nX2360 -> s(s(0)),\nX2361 -> s(s(s(s(s(0))))),\nX2362 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2358 -> 5177 [arrowhead = none ];
5177 -> 2371;

5178 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2358 -> 5178 [arrowhead = none ];
5178 -> 2372;

5179 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2371 -> 5179 [arrowhead = none ];
5179 -> 2373;

5180 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2372 -> 5180 [arrowhead = none ];
5180 -> 2379;

5181 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2373 -> 5181 [arrowhead = none ];
5181 -> 2374;

5182 [label="ONLY EVAL with clause\neq(X2365, X2365).\nand substitutionX2365 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2374 -> 5182 [arrowhead = none ];
5182 -> 2377;

5183 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2377 -> 5183 [arrowhead = none ];
5183 -> 2378;

5184 [label="EVAL with clause\nquot(s(X2378), X2379, X2380, X2381) :- ','(p(X2379, X2382), quot(X2378, X2382, X2380, X2381)).\nand substitutionX2378 -> T708,\nT704 -> s(T708),\nX2379 -> s(s(s(0))),\nX2380 -> s(s(s(s(s(s(0)))))),\nX2381 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2379 -> 5184 [arrowhead = none ];
5184 -> 2387;

5185 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2379 -> 5185 [arrowhead = none ];
5185 -> 2389;

5186 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2387 -> 5186 [arrowhead = none ];
5186 -> 2390;

5187 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2390 -> 5187 [arrowhead = none ];
5187 -> 2391;

5188 [label="ONLY EVAL with clause\np(s(X2392), X2392).\nand substitutionX2392 -> s(s(0)),\nX2382 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
2391 -> 5188 [arrowhead = none ];
5188 -> 2394;

5189 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2394 -> 5189 [arrowhead = none ];
5189 -> 2398;

5190 [label="EVAL with clause\nquot(0, s(X2402), s(X2403), X2404) :- ','(!_169, eq(X2404, 0)).\nand substitutionT708 -> 0,\nX2402 -> s(0),\nX2403 -> s(s(s(s(s(0))))),\nX2404 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2398 -> 5190 [arrowhead = none ];
5190 -> 2405;

5191 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2398 -> 5191 [arrowhead = none ];
5191 -> 2406;

5192 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2405 -> 5192 [arrowhead = none ];
5192 -> 2407;

5193 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2406 -> 5193 [arrowhead = none ];
5193 -> 2414;

5194 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2407 -> 5194 [arrowhead = none ];
5194 -> 2408;

5195 [label="ONLY EVAL with clause\neq(X2407, X2407).\nand substitutionX2407 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2408 -> 5195 [arrowhead = none ];
5195 -> 2410;

5196 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2410 -> 5196 [arrowhead = none ];
5196 -> 2411;

5197 [label="EVAL with clause\nquot(s(X2420), X2421, X2422, X2423) :- ','(p(X2421, X2424), quot(X2420, X2424, X2422, X2423)).\nand substitutionX2420 -> T712,\nT708 -> s(T712),\nX2421 -> s(s(0)),\nX2422 -> s(s(s(s(s(s(0)))))),\nX2423 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2414 -> 5197 [arrowhead = none ];
5197 -> 2422;

5198 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2414 -> 5198 [arrowhead = none ];
5198 -> 2423;

5199 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2422 -> 5199 [arrowhead = none ];
5199 -> 2426;

5200 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2426 -> 5200 [arrowhead = none ];
5200 -> 2427;

5201 [label="ONLY EVAL with clause\np(s(X2434), X2434).\nand substitutionX2434 -> s(0),\nX2424 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
2427 -> 5201 [arrowhead = none ];
5201 -> 2431;

5202 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2431 -> 5202 [arrowhead = none ];
5202 -> 2434;

5203 [label="EVAL with clause\nquot(0, s(X2444), s(X2445), X2446) :- ','(!_172, eq(X2446, 0)).\nand substitutionT712 -> 0,\nX2444 -> 0,\nX2445 -> s(s(s(s(s(0))))),\nX2446 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2434 -> 5203 [arrowhead = none ];
5203 -> 2438;

5204 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2434 -> 5204 [arrowhead = none ];
5204 -> 2439;

5205 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2438 -> 5205 [arrowhead = none ];
5205 -> 2440;

5206 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2439 -> 5206 [arrowhead = none ];
5206 -> 2447;

5207 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2440 -> 5207 [arrowhead = none ];
5207 -> 2441;

5208 [label="ONLY EVAL with clause\neq(X2449, X2449).\nand substitutionX2449 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2441 -> 5208 [arrowhead = none ];
5208 -> 2444;

5209 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2444 -> 5209 [arrowhead = none ];
5209 -> 2445;

5210 [label="EVAL with clause\nquot(s(X2462), X2463, X2464, X2465) :- ','(p(X2463, X2466), quot(X2462, X2466, X2464, X2465)).\nand substitutionX2462 -> T716,\nT712 -> s(T716),\nX2463 -> s(0),\nX2464 -> s(s(s(s(s(s(0)))))),\nX2465 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2447 -> 5210 [arrowhead = none ];
5210 -> 2460;

5211 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2447 -> 5211 [arrowhead = none ];
5211 -> 2461;

5212 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2460 -> 5212 [arrowhead = none ];
5212 -> 2463;

5213 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2463 -> 5213 [arrowhead = none ];
5213 -> 2464;

5214 [label="ONLY EVAL with clause\np(s(X2476), X2476).\nand substitutionX2476 -> 0,\nX2466 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2464 -> 5214 [arrowhead = none ];
5214 -> 2466;

5215 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2466 -> 5215 [arrowhead = none ];
5215 -> 2471;

5216 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2471 -> 5216 [arrowhead = none ];
5216 -> 2475;

5217 [label="ONLY EVAL with clause\nquot(X2491, 0, X2492, X2493) :- ','(!_175, ','(eq(X2492, s(X2494)), ','(p(X2493, X2495), quot(X2491, X2492, X2492, X2495)))).\nand substitutionT716 -> T719,\nX2491 -> T719,\nX2492 -> s(s(s(s(s(s(0)))))),\nX2493 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2475 -> 5217 [arrowhead = none ];
5217 -> 2485;

5218 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2485 -> 5218 [arrowhead = none ];
5218 -> 2486;

5219 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2486 -> 5219 [arrowhead = none ];
5219 -> 2488;

5220 [label="ONLY EVAL with clause\neq(X2506, X2506).\nand substitutionX2506 -> s(s(s(s(s(s(0)))))),\nX2494 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
2488 -> 5220 [arrowhead = none ];
5220 -> 2493;

5221 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2493 -> 5221 [arrowhead = none ];
5221 -> 2497;

5222 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2497 -> 5222 [arrowhead = none ];
5222 -> 2501;

5223 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2497 -> 5223 [arrowhead = none ];
5223 -> 2502;

5224 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX2495 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2501 -> 5224 [arrowhead = none ];
5224 -> 2503;

5225 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2502 -> 5225 [arrowhead = none ];
5225 -> 2506;

5226 [label="INSTANCE with matching:\nT690 -> T719", fontsize=14, style = filled, fillcolor = lightgrey];
2503 -> 5226 [arrowhead = none , style=dashed];
5226 -> 2238[style=dashed];

5227 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2508 -> 5227 [arrowhead = none ];
5227 -> 2515;

5228 [label="EVAL with clause\nquot(0, s(X2533), s(X2534), X2535) :- ','(!_178, eq(X2535, 0)).\nand substitutionT690 -> 0,\nX2533 -> s(s(s(s(s(0))))),\nX2534 -> s(s(s(s(s(0))))),\nT723 -> T728,\nX2535 -> T728,\nT727 -> T728", fontsize=14, style = filled, fillcolor = lightblue];
2515 -> 5228 [arrowhead = none ];
5228 -> 2521;

5229 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2515 -> 5229 [arrowhead = none ];
5229 -> 2522;

5230 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2521 -> 5230 [arrowhead = none ];
5230 -> 2523;

5231 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2522 -> 5231 [arrowhead = none ];
5231 -> 2533;

5232 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2523 -> 5232 [arrowhead = none ];
5232 -> 2524;

5233 [label="EVAL with clause\neq(X2538, X2538).\nand substitutionT728 -> 0,\nX2538 -> 0,\nT731 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2524 -> 5233 [arrowhead = none ];
5233 -> 2529;

5234 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2524 -> 5234 [arrowhead = none ];
5234 -> 2530;

5235 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2529 -> 5235 [arrowhead = none ];
5235 -> 2531;

5236 [label="EVAL with clause\nquot(s(X2551), X2552, X2553, X2554) :- ','(p(X2552, X2555), quot(X2551, X2555, X2553, X2554)).\nand substitutionX2551 -> T737,\nT690 -> s(T737),\nX2552 -> s(s(s(s(s(s(0)))))),\nX2553 -> s(s(s(s(s(s(0)))))),\nT723 -> T739,\nX2554 -> T739,\nT738 -> T739", fontsize=14, style = filled, fillcolor = lightblue];
2533 -> 5236 [arrowhead = none ];
5236 -> 2544;

5237 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2533 -> 5237 [arrowhead = none ];
5237 -> 2545;

5238 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2544 -> 5238 [arrowhead = none ];
5238 -> 2548;

5239 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2548 -> 5239 [arrowhead = none ];
5239 -> 2549;

5240 [label="ONLY EVAL with clause\np(s(X2565), X2565).\nand substitutionX2565 -> s(s(s(s(s(0))))),\nX2555 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
2549 -> 5240 [arrowhead = none ];
5240 -> 2551;

5241 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2551 -> 5241 [arrowhead = none ];
5241 -> 2555;

5242 [label="EVAL with clause\nquot(0, s(X2575), s(X2576), X2577) :- ','(!_181, eq(X2577, 0)).\nand substitutionT737 -> 0,\nX2575 -> s(s(s(s(0)))),\nX2576 -> s(s(s(s(s(0))))),\nT739 -> T746,\nX2577 -> T746,\nT745 -> T746", fontsize=14, style = filled, fillcolor = lightblue];
2555 -> 5242 [arrowhead = none ];
5242 -> 2563;

5243 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2555 -> 5243 [arrowhead = none ];
5243 -> 2564;

5244 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2563 -> 5244 [arrowhead = none ];
5244 -> 2565;

5245 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2564 -> 5245 [arrowhead = none ];
5245 -> 2575;

5246 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2565 -> 5246 [arrowhead = none ];
5246 -> 2566;

5247 [label="EVAL with clause\neq(X2580, X2580).\nand substitutionT746 -> 0,\nX2580 -> 0,\nT749 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2566 -> 5247 [arrowhead = none ];
5247 -> 2570;

5248 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2566 -> 5248 [arrowhead = none ];
5248 -> 2571;

5249 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2570 -> 5249 [arrowhead = none ];
5249 -> 2572;

5250 [label="EVAL with clause\nquot(s(X2593), X2594, X2595, X2596) :- ','(p(X2594, X2597), quot(X2593, X2597, X2595, X2596)).\nand substitutionX2593 -> T755,\nT737 -> s(T755),\nX2594 -> s(s(s(s(s(0))))),\nX2595 -> s(s(s(s(s(s(0)))))),\nT739 -> T757,\nX2596 -> T757,\nT756 -> T757", fontsize=14, style = filled, fillcolor = lightblue];
2575 -> 5250 [arrowhead = none ];
5250 -> 2585;

5251 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2575 -> 5251 [arrowhead = none ];
5251 -> 2586;

5252 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2585 -> 5252 [arrowhead = none ];
5252 -> 2590;

5253 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2590 -> 5253 [arrowhead = none ];
5253 -> 2591;

5254 [label="ONLY EVAL with clause\np(s(X2607), X2607).\nand substitutionX2607 -> s(s(s(s(0)))),\nX2597 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
2591 -> 5254 [arrowhead = none ];
5254 -> 2593;

5255 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2593 -> 5255 [arrowhead = none ];
5255 -> 2597;

5256 [label="EVAL with clause\nquot(0, s(X2617), s(X2618), X2619) :- ','(!_184, eq(X2619, 0)).\nand substitutionT755 -> 0,\nX2617 -> s(s(s(0))),\nX2618 -> s(s(s(s(s(0))))),\nT757 -> T764,\nX2619 -> T764,\nT763 -> T764", fontsize=14, style = filled, fillcolor = lightblue];
2597 -> 5256 [arrowhead = none ];
5256 -> 2604;

5257 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2597 -> 5257 [arrowhead = none ];
5257 -> 2605;

5258 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2604 -> 5258 [arrowhead = none ];
5258 -> 2606;

5259 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2605 -> 5259 [arrowhead = none ];
5259 -> 2617;

5260 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2606 -> 5260 [arrowhead = none ];
5260 -> 2607;

5261 [label="EVAL with clause\neq(X2622, X2622).\nand substitutionT764 -> 0,\nX2622 -> 0,\nT767 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2607 -> 5261 [arrowhead = none ];
5261 -> 2613;

5262 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2607 -> 5262 [arrowhead = none ];
5262 -> 2614;

5263 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2613 -> 5263 [arrowhead = none ];
5263 -> 2615;

5264 [label="EVAL with clause\nquot(s(X2635), X2636, X2637, X2638) :- ','(p(X2636, X2639), quot(X2635, X2639, X2637, X2638)).\nand substitutionX2635 -> T773,\nT755 -> s(T773),\nX2636 -> s(s(s(s(0)))),\nX2637 -> s(s(s(s(s(s(0)))))),\nT757 -> T775,\nX2638 -> T775,\nT774 -> T775", fontsize=14, style = filled, fillcolor = lightblue];
2617 -> 5264 [arrowhead = none ];
5264 -> 2627;

5265 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2617 -> 5265 [arrowhead = none ];
5265 -> 2628;

5266 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2627 -> 5266 [arrowhead = none ];
5266 -> 2632;

5267 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2632 -> 5267 [arrowhead = none ];
5267 -> 2633;

5268 [label="ONLY EVAL with clause\np(s(X2649), X2649).\nand substitutionX2649 -> s(s(s(0))),\nX2639 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
2633 -> 5268 [arrowhead = none ];
5268 -> 2635;

5269 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2635 -> 5269 [arrowhead = none ];
5269 -> 2637;

5270 [label="EVAL with clause\nquot(0, s(X2659), s(X2660), X2661) :- ','(!_187, eq(X2661, 0)).\nand substitutionT773 -> 0,\nX2659 -> s(s(0)),\nX2660 -> s(s(s(s(s(0))))),\nT775 -> T782,\nX2661 -> T782,\nT781 -> T782", fontsize=14, style = filled, fillcolor = lightblue];
2637 -> 5270 [arrowhead = none ];
5270 -> 2649;

5271 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2637 -> 5271 [arrowhead = none ];
5271 -> 2650;

5272 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2649 -> 5272 [arrowhead = none ];
5272 -> 2651;

5273 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2650 -> 5273 [arrowhead = none ];
5273 -> 2657;

5274 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2651 -> 5274 [arrowhead = none ];
5274 -> 2652;

5275 [label="EVAL with clause\neq(X2664, X2664).\nand substitutionT782 -> 0,\nX2664 -> 0,\nT785 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2652 -> 5275 [arrowhead = none ];
5275 -> 2654;

5276 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2652 -> 5276 [arrowhead = none ];
5276 -> 2655;

5277 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2654 -> 5277 [arrowhead = none ];
5277 -> 2656;

5278 [label="EVAL with clause\nquot(s(X2677), X2678, X2679, X2680) :- ','(p(X2678, X2681), quot(X2677, X2681, X2679, X2680)).\nand substitutionX2677 -> T791,\nT773 -> s(T791),\nX2678 -> s(s(s(0))),\nX2679 -> s(s(s(s(s(s(0)))))),\nT775 -> T793,\nX2680 -> T793,\nT792 -> T793", fontsize=14, style = filled, fillcolor = lightblue];
2657 -> 5278 [arrowhead = none ];
5278 -> 2661;

5279 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2657 -> 5279 [arrowhead = none ];
5279 -> 2662;

5280 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2661 -> 5280 [arrowhead = none ];
5280 -> 2667;

5281 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2667 -> 5281 [arrowhead = none ];
5281 -> 2668;

5282 [label="ONLY EVAL with clause\np(s(X2691), X2691).\nand substitutionX2691 -> s(s(0)),\nX2681 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
2668 -> 5282 [arrowhead = none ];
5282 -> 2674;

5283 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2674 -> 5283 [arrowhead = none ];
5283 -> 2687;

5284 [label="EVAL with clause\nquot(0, s(X2701), s(X2702), X2703) :- ','(!_190, eq(X2703, 0)).\nand substitutionT791 -> 0,\nX2701 -> s(0),\nX2702 -> s(s(s(s(s(0))))),\nT793 -> T800,\nX2703 -> T800,\nT799 -> T800", fontsize=14, style = filled, fillcolor = lightblue];
2687 -> 5284 [arrowhead = none ];
5284 -> 2692;

5285 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2687 -> 5285 [arrowhead = none ];
5285 -> 2693;

5286 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2692 -> 5286 [arrowhead = none ];
5286 -> 2694;

5287 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2693 -> 5287 [arrowhead = none ];
5287 -> 2702;

5288 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2694 -> 5288 [arrowhead = none ];
5288 -> 2695;

5289 [label="EVAL with clause\neq(X2706, X2706).\nand substitutionT800 -> 0,\nX2706 -> 0,\nT803 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2695 -> 5289 [arrowhead = none ];
5289 -> 2697;

5290 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2695 -> 5290 [arrowhead = none ];
5290 -> 2698;

5291 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2697 -> 5291 [arrowhead = none ];
5291 -> 2699;

5292 [label="EVAL with clause\nquot(s(X2719), X2720, X2721, X2722) :- ','(p(X2720, X2723), quot(X2719, X2723, X2721, X2722)).\nand substitutionX2719 -> T809,\nT791 -> s(T809),\nX2720 -> s(s(0)),\nX2721 -> s(s(s(s(s(s(0)))))),\nT793 -> T811,\nX2722 -> T811,\nT810 -> T811", fontsize=14, style = filled, fillcolor = lightblue];
2702 -> 5292 [arrowhead = none ];
5292 -> 2708;

5293 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2702 -> 5293 [arrowhead = none ];
5293 -> 2709;

5294 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2708 -> 5294 [arrowhead = none ];
5294 -> 2713;

5295 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2713 -> 5295 [arrowhead = none ];
5295 -> 2714;

5296 [label="ONLY EVAL with clause\np(s(X2733), X2733).\nand substitutionX2733 -> s(0),\nX2723 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
2714 -> 5296 [arrowhead = none ];
5296 -> 2717;

5297 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2717 -> 5297 [arrowhead = none ];
5297 -> 2719;

5298 [label="EVAL with clause\nquot(0, s(X2743), s(X2744), X2745) :- ','(!_193, eq(X2745, 0)).\nand substitutionT809 -> 0,\nX2743 -> 0,\nX2744 -> s(s(s(s(s(0))))),\nT811 -> T818,\nX2745 -> T818,\nT817 -> T818", fontsize=14, style = filled, fillcolor = lightblue];
2719 -> 5298 [arrowhead = none ];
5298 -> 2727;

5299 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2719 -> 5299 [arrowhead = none ];
5299 -> 2728;

5300 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2727 -> 5300 [arrowhead = none ];
5300 -> 2729;

5301 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2728 -> 5301 [arrowhead = none ];
5301 -> 2737;

5302 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2729 -> 5302 [arrowhead = none ];
5302 -> 2730;

5303 [label="EVAL with clause\neq(X2748, X2748).\nand substitutionT818 -> 0,\nX2748 -> 0,\nT821 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2730 -> 5303 [arrowhead = none ];
5303 -> 2734;

5304 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2730 -> 5304 [arrowhead = none ];
5304 -> 2735;

5305 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2734 -> 5305 [arrowhead = none ];
5305 -> 2736;

5306 [label="EVAL with clause\nquot(s(X2761), X2762, X2763, X2764) :- ','(p(X2762, X2765), quot(X2761, X2765, X2763, X2764)).\nand substitutionX2761 -> T827,\nT809 -> s(T827),\nX2762 -> s(0),\nX2763 -> s(s(s(s(s(s(0)))))),\nT811 -> T829,\nX2764 -> T829,\nT828 -> T829", fontsize=14, style = filled, fillcolor = lightblue];
2737 -> 5306 [arrowhead = none ];
5306 -> 2753;

5307 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2737 -> 5307 [arrowhead = none ];
5307 -> 2754;

5308 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2753 -> 5308 [arrowhead = none ];
5308 -> 2758;

5309 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2758 -> 5309 [arrowhead = none ];
5309 -> 2759;

5310 [label="ONLY EVAL with clause\np(s(X2775), X2775).\nand substitutionX2775 -> 0,\nX2765 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2759 -> 5310 [arrowhead = none ];
5310 -> 2764;

5311 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2764 -> 5311 [arrowhead = none ];
5311 -> 2777;

5312 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2777 -> 5312 [arrowhead = none ];
5312 -> 2778;

5313 [label="ONLY EVAL with clause\nquot(X2790, 0, X2791, X2792) :- ','(!_196, ','(eq(X2791, s(X2793)), ','(p(X2792, X2794), quot(X2790, X2791, X2791, X2794)))).\nand substitutionT827 -> T836,\nX2790 -> T836,\nX2791 -> s(s(s(s(s(s(0)))))),\nT829 -> T838,\nX2792 -> T838,\nT837 -> T838", fontsize=14, style = filled, fillcolor = lightblue];
2778 -> 5313 [arrowhead = none ];
5313 -> 2785;

5314 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2785 -> 5314 [arrowhead = none ];
5314 -> 2786;

5315 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2786 -> 5315 [arrowhead = none ];
5315 -> 2789;

5316 [label="ONLY EVAL with clause\neq(X2805, X2805).\nand substitutionX2805 -> s(s(s(s(s(s(0)))))),\nX2793 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
2789 -> 5316 [arrowhead = none ];
5316 -> 2795;

5317 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2795 -> 5317 [arrowhead = none ];
5317 -> 2800;

5318 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2800 -> 5318 [arrowhead = none ];
5318 -> 2801;

5319 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2800 -> 5319 [arrowhead = none ];
5319 -> 2802;

5320 [label="EVAL with clause\np(0, 0).\nand substitutionT838 -> 0,\nX2794 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2801 -> 5320 [arrowhead = none ];
5320 -> 2803;

5321 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2801 -> 5321 [arrowhead = none ];
5321 -> 2804;

5322 [label="EVAL with clause\np(s(X2815), X2815).\nand substitutionX2815 -> T842,\nT838 -> s(T842),\nX2794 -> T842,\nT841 -> T842", fontsize=14, style = filled, fillcolor = lightblue];
2802 -> 5322 [arrowhead = none ];
5322 -> 2811;

5323 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2802 -> 5323 [arrowhead = none ];
5323 -> 2812;

5324 [label="INSTANCE with matching:\nT690 -> T836", fontsize=14, style = filled, fillcolor = lightgrey];
2803 -> 5324 [arrowhead = none , style=dashed];
5324 -> 2238[style=dashed];

5325 [label="INSTANCE with matching:\nT690 -> T836\nT723 -> T842", fontsize=14, style = filled, fillcolor = lightgrey];
2811 -> 5325 [arrowhead = none , style=dashed];
5325 -> 2508[style=dashed];

5326 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2824 -> 5326 [arrowhead = none ];
5326 -> 2829;

5327 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2829 -> 5327 [arrowhead = none ];
5327 -> 2830;

5328 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2829 -> 5328 [arrowhead = none ];
5328 -> 2831;

5329 [label="EVAL with clause\np(0, 0).\nand substitutionT851 -> 0,\nX2832 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2830 -> 5329 [arrowhead = none ];
5329 -> 2834;

5330 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2830 -> 5330 [arrowhead = none ];
5330 -> 2835;

5331 [label="EVAL with clause\np(s(X2842), X2842).\nand substitutionX2842 -> T858,\nT851 -> s(T858),\nX2832 -> T858", fontsize=14, style = filled, fillcolor = lightblue];
2831 -> 5331 [arrowhead = none ];
5331 -> 2843;

5332 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2831 -> 5332 [arrowhead = none ];
5332 -> 2844;

5333 [label="INSTANCE with matching:\nT827 -> T850\nT829 -> T853", fontsize=14, style = filled, fillcolor = lightgrey];
2834 -> 5333 [arrowhead = none , style=dashed];
5333 -> 2764[style=dashed];

5334 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2843 -> 5334 [arrowhead = none ];
5334 -> 2854;

5335 [label="EVAL with clause\nquot(0, s(X2852), s(X2853), X2854) :- ','(!_200, eq(X2854, 0)).\nand substitutionT850 -> 0,\nX2852 -> T865,\nT858 -> s(T865),\nX2853 -> s(s(s(s(s(s(s(T865))))))),\nT853 -> T867,\nX2854 -> T867,\nT866 -> T867", fontsize=14, style = filled, fillcolor = lightblue];
2854 -> 5335 [arrowhead = none ];
5335 -> 2861;

5336 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2854 -> 5336 [arrowhead = none ];
5336 -> 2862;

5337 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2861 -> 5337 [arrowhead = none ];
5337 -> 2863;

5338 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2862 -> 5338 [arrowhead = none ];
5338 -> 2876;

5339 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2862 -> 5339 [arrowhead = none ];
5339 -> 2877;

5340 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2863 -> 5340 [arrowhead = none ];
5340 -> 2864;

5341 [label="EVAL with clause\neq(X2857, X2857).\nand substitutionT867 -> 0,\nX2857 -> 0,\nT870 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2864 -> 5341 [arrowhead = none ];
5341 -> 2865;

5342 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2864 -> 5342 [arrowhead = none ];
5342 -> 2866;

5343 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2865 -> 5343 [arrowhead = none ];
5343 -> 2867;

5344 [label="EVAL with clause\nquot(X2874, 0, X2875, X2876) :- ','(!_200, ','(eq(X2875, s(X2877)), ','(p(X2876, X2878), quot(X2874, X2875, X2875, X2878)))).\nand substitutionT850 -> T879,\nX2874 -> T879,\nT858 -> 0,\nX2875 -> s(s(s(s(s(s(s(0))))))),\nT853 -> T881,\nX2876 -> T881,\nT880 -> T881", fontsize=14, style = filled, fillcolor = lightblue];
2876 -> 5344 [arrowhead = none ];
5344 -> 2881;

5345 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2876 -> 5345 [arrowhead = none ];
5345 -> 2882;

5346 [label="EVAL with clause\nquot(s(X3581), X3582, X3583, X3584) :- ','(p(X3582, X3585), quot(X3581, X3585, X3583, X3584)).\nand substitutionX3581 -> T1061,\nT850 -> s(T1061),\nT858 -> T1062,\nX3582 -> T1062,\nX3583 -> s(s(s(s(s(s(s(T1062))))))),\nT853 -> T1064,\nX3584 -> T1064,\nT1063 -> T1064", fontsize=14, style = filled, fillcolor = lightblue];
2877 -> 5346 [arrowhead = none ];
5346 -> 3527;

5347 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2877 -> 5347 [arrowhead = none ];
5347 -> 3528;

5348 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2881 -> 5348 [arrowhead = none ];
5348 -> 2883;

5349 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2883 -> 5349 [arrowhead = none ];
5349 -> 2885;

5350 [label="ONLY EVAL with clause\neq(X2889, X2889).\nand substitutionX2889 -> s(s(s(s(s(s(s(0))))))),\nX2877 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
2885 -> 5350 [arrowhead = none ];
5350 -> 2893;

5351 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2893 -> 5351 [arrowhead = none ];
5351 -> 2896;

5352 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2896 -> 5352 [arrowhead = none ];
5352 -> 2900;

5353 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
2896 -> 5353 [arrowhead = none ];
5353 -> 2901;

5354 [label="EVAL with clause\np(0, 0).\nand substitutionT881 -> 0,\nX2878 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2900 -> 5354 [arrowhead = none ];
5354 -> 2902;

5355 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2900 -> 5355 [arrowhead = none ];
5355 -> 2903;

5356 [label="EVAL with clause\np(s(X3234), X3234).\nand substitutionX3234 -> T916,\nT881 -> s(T916),\nX2878 -> T916,\nT915 -> T916", fontsize=14, style = filled, fillcolor = lightblue];
2901 -> 5356 [arrowhead = none ];
5356 -> 3189;

5357 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2901 -> 5357 [arrowhead = none ];
5357 -> 3190;

5358 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2902 -> 5358 [arrowhead = none ];
5358 -> 2906;

5359 [label="EVAL with clause\nquot(0, s(X2903), s(X2904), X2905) :- ','(!_204, eq(X2905, 0)).\nand substitutionT879 -> 0,\nX2903 -> s(s(s(s(s(s(0)))))),\nX2904 -> s(s(s(s(s(s(0)))))),\nX2905 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2906 -> 5359 [arrowhead = none ];
5359 -> 2907;

5360 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2906 -> 5360 [arrowhead = none ];
5360 -> 2909;

5361 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2907 -> 5361 [arrowhead = none ];
5361 -> 2911;

5362 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2909 -> 5362 [arrowhead = none ];
5362 -> 2921;

5363 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2911 -> 5363 [arrowhead = none ];
5363 -> 2913;

5364 [label="ONLY EVAL with clause\neq(X2908, X2908).\nand substitutionX2908 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2913 -> 5364 [arrowhead = none ];
5364 -> 2915;

5365 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2915 -> 5365 [arrowhead = none ];
5365 -> 2916;

5366 [label="EVAL with clause\nquot(s(X2921), X2922, X2923, X2924) :- ','(p(X2922, X2925), quot(X2921, X2925, X2923, X2924)).\nand substitutionX2921 -> T885,\nT879 -> s(T885),\nX2922 -> s(s(s(s(s(s(s(0))))))),\nX2923 -> s(s(s(s(s(s(s(0))))))),\nX2924 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2921 -> 5366 [arrowhead = none ];
5366 -> 2925;

5367 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2921 -> 5367 [arrowhead = none ];
5367 -> 2926;

5368 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2925 -> 5368 [arrowhead = none ];
5368 -> 2928;

5369 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2928 -> 5369 [arrowhead = none ];
5369 -> 2929;

5370 [label="ONLY EVAL with clause\np(s(X2935), X2935).\nand substitutionX2935 -> s(s(s(s(s(s(0)))))),\nX2925 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
2929 -> 5370 [arrowhead = none ];
5370 -> 2934;

5371 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2934 -> 5371 [arrowhead = none ];
5371 -> 2945;

5372 [label="EVAL with clause\nquot(0, s(X2945), s(X2946), X2947) :- ','(!_207, eq(X2947, 0)).\nand substitutionT885 -> 0,\nX2945 -> s(s(s(s(s(0))))),\nX2946 -> s(s(s(s(s(s(0)))))),\nX2947 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2945 -> 5372 [arrowhead = none ];
5372 -> 2946;

5373 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2945 -> 5373 [arrowhead = none ];
5373 -> 2947;

5374 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2946 -> 5374 [arrowhead = none ];
5374 -> 2948;

5375 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2947 -> 5375 [arrowhead = none ];
5375 -> 2958;

5376 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2948 -> 5376 [arrowhead = none ];
5376 -> 2949;

5377 [label="ONLY EVAL with clause\neq(X2950, X2950).\nand substitutionX2950 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2949 -> 5377 [arrowhead = none ];
5377 -> 2952;

5378 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2952 -> 5378 [arrowhead = none ];
5378 -> 2953;

5379 [label="EVAL with clause\nquot(s(X2963), X2964, X2965, X2966) :- ','(p(X2964, X2967), quot(X2963, X2967, X2965, X2966)).\nand substitutionX2963 -> T889,\nT885 -> s(T889),\nX2964 -> s(s(s(s(s(s(0)))))),\nX2965 -> s(s(s(s(s(s(s(0))))))),\nX2966 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2958 -> 5379 [arrowhead = none ];
5379 -> 2964;

5380 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2958 -> 5380 [arrowhead = none ];
5380 -> 2965;

5381 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2964 -> 5381 [arrowhead = none ];
5381 -> 2967;

5382 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2967 -> 5382 [arrowhead = none ];
5382 -> 2968;

5383 [label="ONLY EVAL with clause\np(s(X2977), X2977).\nand substitutionX2977 -> s(s(s(s(s(0))))),\nX2967 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
2968 -> 5383 [arrowhead = none ];
5383 -> 2973;

5384 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2973 -> 5384 [arrowhead = none ];
5384 -> 2984;

5385 [label="EVAL with clause\nquot(0, s(X2987), s(X2988), X2989) :- ','(!_210, eq(X2989, 0)).\nand substitutionT889 -> 0,\nX2987 -> s(s(s(s(0)))),\nX2988 -> s(s(s(s(s(s(0)))))),\nX2989 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2984 -> 5385 [arrowhead = none ];
5385 -> 2987;

5386 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2984 -> 5386 [arrowhead = none ];
5386 -> 2988;

5387 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
2987 -> 5387 [arrowhead = none ];
5387 -> 2989;

5388 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
2988 -> 5388 [arrowhead = none ];
5388 -> 2996;

5389 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2989 -> 5389 [arrowhead = none ];
5389 -> 2990;

5390 [label="ONLY EVAL with clause\neq(X2992, X2992).\nand substitutionX2992 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2990 -> 5390 [arrowhead = none ];
5390 -> 2993;

5391 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
2993 -> 5391 [arrowhead = none ];
5391 -> 2994;

5392 [label="EVAL with clause\nquot(s(X3005), X3006, X3007, X3008) :- ','(p(X3006, X3009), quot(X3005, X3009, X3007, X3008)).\nand substitutionX3005 -> T893,\nT889 -> s(T893),\nX3006 -> s(s(s(s(s(0))))),\nX3007 -> s(s(s(s(s(s(s(0))))))),\nX3008 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
2996 -> 5392 [arrowhead = none ];
5392 -> 2998;

5393 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
2996 -> 5393 [arrowhead = none ];
5393 -> 2999;

5394 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2998 -> 5394 [arrowhead = none ];
5394 -> 3004;

5395 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3004 -> 5395 [arrowhead = none ];
5395 -> 3005;

5396 [label="ONLY EVAL with clause\np(s(X3019), X3019).\nand substitutionX3019 -> s(s(s(s(0)))),\nX3009 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
3005 -> 5396 [arrowhead = none ];
5396 -> 3013;

5397 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3013 -> 5397 [arrowhead = none ];
5397 -> 3014;

5398 [label="EVAL with clause\nquot(0, s(X3029), s(X3030), X3031) :- ','(!_213, eq(X3031, 0)).\nand substitutionT893 -> 0,\nX3029 -> s(s(s(0))),\nX3030 -> s(s(s(s(s(s(0)))))),\nX3031 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3014 -> 5398 [arrowhead = none ];
5398 -> 3018;

5399 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3014 -> 5399 [arrowhead = none ];
5399 -> 3019;

5400 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3018 -> 5400 [arrowhead = none ];
5400 -> 3020;

5401 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3019 -> 5401 [arrowhead = none ];
5401 -> 3026;

5402 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3020 -> 5402 [arrowhead = none ];
5402 -> 3021;

5403 [label="ONLY EVAL with clause\neq(X3034, X3034).\nand substitutionX3034 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3021 -> 5403 [arrowhead = none ];
5403 -> 3024;

5404 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3024 -> 5404 [arrowhead = none ];
5404 -> 3025;

5405 [label="EVAL with clause\nquot(s(X3047), X3048, X3049, X3050) :- ','(p(X3048, X3051), quot(X3047, X3051, X3049, X3050)).\nand substitutionX3047 -> T897,\nT893 -> s(T897),\nX3048 -> s(s(s(s(0)))),\nX3049 -> s(s(s(s(s(s(s(0))))))),\nX3050 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3026 -> 5405 [arrowhead = none ];
5405 -> 3034;

5406 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3026 -> 5406 [arrowhead = none ];
5406 -> 3035;

5407 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3034 -> 5407 [arrowhead = none ];
5407 -> 3038;

5408 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3038 -> 5408 [arrowhead = none ];
5408 -> 3039;

5409 [label="ONLY EVAL with clause\np(s(X3061), X3061).\nand substitutionX3061 -> s(s(s(0))),\nX3051 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
3039 -> 5409 [arrowhead = none ];
5409 -> 3045;

5410 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3045 -> 5410 [arrowhead = none ];
5410 -> 3049;

5411 [label="EVAL with clause\nquot(0, s(X3071), s(X3072), X3073) :- ','(!_216, eq(X3073, 0)).\nand substitutionT897 -> 0,\nX3071 -> s(s(0)),\nX3072 -> s(s(s(s(s(s(0)))))),\nX3073 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3049 -> 5411 [arrowhead = none ];
5411 -> 3052;

5412 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3049 -> 5412 [arrowhead = none ];
5412 -> 3053;

5413 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3052 -> 5413 [arrowhead = none ];
5413 -> 3054;

5414 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3053 -> 5414 [arrowhead = none ];
5414 -> 3063;

5415 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3054 -> 5415 [arrowhead = none ];
5415 -> 3055;

5416 [label="ONLY EVAL with clause\neq(X3076, X3076).\nand substitutionX3076 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3055 -> 5416 [arrowhead = none ];
5416 -> 3060;

5417 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3060 -> 5417 [arrowhead = none ];
5417 -> 3061;

5418 [label="EVAL with clause\nquot(s(X3089), X3090, X3091, X3092) :- ','(p(X3090, X3093), quot(X3089, X3093, X3091, X3092)).\nand substitutionX3089 -> T901,\nT897 -> s(T901),\nX3090 -> s(s(s(0))),\nX3091 -> s(s(s(s(s(s(s(0))))))),\nX3092 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3063 -> 5418 [arrowhead = none ];
5418 -> 3069;

5419 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3063 -> 5419 [arrowhead = none ];
5419 -> 3070;

5420 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3069 -> 5420 [arrowhead = none ];
5420 -> 3072;

5421 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3072 -> 5421 [arrowhead = none ];
5421 -> 3073;

5422 [label="ONLY EVAL with clause\np(s(X3103), X3103).\nand substitutionX3103 -> s(s(0)),\nX3093 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
3073 -> 5422 [arrowhead = none ];
5422 -> 3074;

5423 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3074 -> 5423 [arrowhead = none ];
5423 -> 3083;

5424 [label="EVAL with clause\nquot(0, s(X3113), s(X3114), X3115) :- ','(!_219, eq(X3115, 0)).\nand substitutionT901 -> 0,\nX3113 -> s(0),\nX3114 -> s(s(s(s(s(s(0)))))),\nX3115 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3083 -> 5424 [arrowhead = none ];
5424 -> 3087;

5425 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3083 -> 5425 [arrowhead = none ];
5425 -> 3088;

5426 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3087 -> 5426 [arrowhead = none ];
5426 -> 3089;

5427 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3088 -> 5427 [arrowhead = none ];
5427 -> 3096;

5428 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3089 -> 5428 [arrowhead = none ];
5428 -> 3090;

5429 [label="ONLY EVAL with clause\neq(X3118, X3118).\nand substitutionX3118 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3090 -> 5429 [arrowhead = none ];
5429 -> 3092;

5430 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3092 -> 5430 [arrowhead = none ];
5430 -> 3093;

5431 [label="EVAL with clause\nquot(s(X3131), X3132, X3133, X3134) :- ','(p(X3132, X3135), quot(X3131, X3135, X3133, X3134)).\nand substitutionX3131 -> T905,\nT901 -> s(T905),\nX3132 -> s(s(0)),\nX3133 -> s(s(s(s(s(s(s(0))))))),\nX3134 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3096 -> 5431 [arrowhead = none ];
5431 -> 3105;

5432 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3096 -> 5432 [arrowhead = none ];
5432 -> 3107;

5433 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3105 -> 5433 [arrowhead = none ];
5433 -> 3108;

5434 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3108 -> 5434 [arrowhead = none ];
5434 -> 3109;

5435 [label="ONLY EVAL with clause\np(s(X3145), X3145).\nand substitutionX3145 -> s(0),\nX3135 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
3109 -> 5435 [arrowhead = none ];
5435 -> 3112;

5436 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3112 -> 5436 [arrowhead = none ];
5436 -> 3119;

5437 [label="EVAL with clause\nquot(0, s(X3155), s(X3156), X3157) :- ','(!_222, eq(X3157, 0)).\nand substitutionT905 -> 0,\nX3155 -> 0,\nX3156 -> s(s(s(s(s(s(0)))))),\nX3157 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3119 -> 5437 [arrowhead = none ];
5437 -> 3129;

5438 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3119 -> 5438 [arrowhead = none ];
5438 -> 3130;

5439 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3129 -> 5439 [arrowhead = none ];
5439 -> 3131;

5440 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3130 -> 5440 [arrowhead = none ];
5440 -> 3135;

5441 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3131 -> 5441 [arrowhead = none ];
5441 -> 3132;

5442 [label="ONLY EVAL with clause\neq(X3160, X3160).\nand substitutionX3160 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3132 -> 5442 [arrowhead = none ];
5442 -> 3133;

5443 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3133 -> 5443 [arrowhead = none ];
5443 -> 3134;

5444 [label="EVAL with clause\nquot(s(X3173), X3174, X3175, X3176) :- ','(p(X3174, X3177), quot(X3173, X3177, X3175, X3176)).\nand substitutionX3173 -> T909,\nT905 -> s(T909),\nX3174 -> s(0),\nX3175 -> s(s(s(s(s(s(s(0))))))),\nX3176 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3135 -> 5444 [arrowhead = none ];
5444 -> 3140;

5445 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3135 -> 5445 [arrowhead = none ];
5445 -> 3141;

5446 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3140 -> 5446 [arrowhead = none ];
5446 -> 3146;

5447 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3146 -> 5447 [arrowhead = none ];
5447 -> 3147;

5448 [label="ONLY EVAL with clause\np(s(X3187), X3187).\nand substitutionX3187 -> 0,\nX3177 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3147 -> 5448 [arrowhead = none ];
5448 -> 3150;

5449 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3150 -> 5449 [arrowhead = none ];
5449 -> 3154;

5450 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3154 -> 5450 [arrowhead = none ];
5450 -> 3155;

5451 [label="ONLY EVAL with clause\nquot(X3202, 0, X3203, X3204) :- ','(!_225, ','(eq(X3203, s(X3205)), ','(p(X3204, X3206), quot(X3202, X3203, X3203, X3206)))).\nand substitutionT909 -> T912,\nX3202 -> T912,\nX3203 -> s(s(s(s(s(s(s(0))))))),\nX3204 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3155 -> 5451 [arrowhead = none ];
5451 -> 3167;

5452 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3167 -> 5452 [arrowhead = none ];
5452 -> 3168;

5453 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3168 -> 5453 [arrowhead = none ];
5453 -> 3169;

5454 [label="ONLY EVAL with clause\neq(X3217, X3217).\nand substitutionX3217 -> s(s(s(s(s(s(s(0))))))),\nX3205 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
3169 -> 5454 [arrowhead = none ];
5454 -> 3172;

5455 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3172 -> 5455 [arrowhead = none ];
5455 -> 3178;

5456 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3178 -> 5456 [arrowhead = none ];
5456 -> 3179;

5457 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3178 -> 5457 [arrowhead = none ];
5457 -> 3180;

5458 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX3206 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3179 -> 5458 [arrowhead = none ];
5458 -> 3183;

5459 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3180 -> 5459 [arrowhead = none ];
5459 -> 3188;

5460 [label="INSTANCE with matching:\nT879 -> T912", fontsize=14, style = filled, fillcolor = lightgrey];
3183 -> 5460 [arrowhead = none , style=dashed];
5460 -> 2902[style=dashed];

5461 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3189 -> 5461 [arrowhead = none ];
5461 -> 3193;

5462 [label="EVAL with clause\nquot(0, s(X3244), s(X3245), X3246) :- ','(!_228, eq(X3246, 0)).\nand substitutionT879 -> 0,\nX3244 -> s(s(s(s(s(s(0)))))),\nX3245 -> s(s(s(s(s(s(0)))))),\nT916 -> T921,\nX3246 -> T921,\nT920 -> T921", fontsize=14, style = filled, fillcolor = lightblue];
3193 -> 5462 [arrowhead = none ];
5462 -> 3205;

5463 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3193 -> 5463 [arrowhead = none ];
5463 -> 3207;

5464 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3205 -> 5464 [arrowhead = none ];
5464 -> 3208;

5465 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3207 -> 5465 [arrowhead = none ];
5465 -> 3217;

5466 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3208 -> 5466 [arrowhead = none ];
5466 -> 3209;

5467 [label="EVAL with clause\neq(X3249, X3249).\nand substitutionT921 -> 0,\nX3249 -> 0,\nT924 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3209 -> 5467 [arrowhead = none ];
5467 -> 3213;

5468 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3209 -> 5468 [arrowhead = none ];
5468 -> 3214;

5469 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3213 -> 5469 [arrowhead = none ];
5469 -> 3215;

5470 [label="EVAL with clause\nquot(s(X3262), X3263, X3264, X3265) :- ','(p(X3263, X3266), quot(X3262, X3266, X3264, X3265)).\nand substitutionX3262 -> T930,\nT879 -> s(T930),\nX3263 -> s(s(s(s(s(s(s(0))))))),\nX3264 -> s(s(s(s(s(s(s(0))))))),\nT916 -> T932,\nX3265 -> T932,\nT931 -> T932", fontsize=14, style = filled, fillcolor = lightblue];
3217 -> 5470 [arrowhead = none ];
5470 -> 3222;

5471 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3217 -> 5471 [arrowhead = none ];
5471 -> 3223;

5472 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3222 -> 5472 [arrowhead = none ];
5472 -> 3226;

5473 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3226 -> 5473 [arrowhead = none ];
5473 -> 3228;

5474 [label="ONLY EVAL with clause\np(s(X3276), X3276).\nand substitutionX3276 -> s(s(s(s(s(s(0)))))),\nX3266 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
3228 -> 5474 [arrowhead = none ];
5474 -> 3231;

5475 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3231 -> 5475 [arrowhead = none ];
5475 -> 3234;

5476 [label="EVAL with clause\nquot(0, s(X3286), s(X3287), X3288) :- ','(!_231, eq(X3288, 0)).\nand substitutionT930 -> 0,\nX3286 -> s(s(s(s(s(0))))),\nX3287 -> s(s(s(s(s(s(0)))))),\nT932 -> T939,\nX3288 -> T939,\nT938 -> T939", fontsize=14, style = filled, fillcolor = lightblue];
3234 -> 5476 [arrowhead = none ];
5476 -> 3244;

5477 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3234 -> 5477 [arrowhead = none ];
5477 -> 3245;

5478 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3244 -> 5478 [arrowhead = none ];
5478 -> 3246;

5479 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3245 -> 5479 [arrowhead = none ];
5479 -> 3258;

5480 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3246 -> 5480 [arrowhead = none ];
5480 -> 3247;

5481 [label="EVAL with clause\neq(X3291, X3291).\nand substitutionT939 -> 0,\nX3291 -> 0,\nT942 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3247 -> 5481 [arrowhead = none ];
5481 -> 3252;

5482 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3247 -> 5482 [arrowhead = none ];
5482 -> 3253;

5483 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3252 -> 5483 [arrowhead = none ];
5483 -> 3254;

5484 [label="EVAL with clause\nquot(s(X3304), X3305, X3306, X3307) :- ','(p(X3305, X3308), quot(X3304, X3308, X3306, X3307)).\nand substitutionX3304 -> T948,\nT930 -> s(T948),\nX3305 -> s(s(s(s(s(s(0)))))),\nX3306 -> s(s(s(s(s(s(s(0))))))),\nT932 -> T950,\nX3307 -> T950,\nT949 -> T950", fontsize=14, style = filled, fillcolor = lightblue];
3258 -> 5484 [arrowhead = none ];
5484 -> 3266;

5485 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3258 -> 5485 [arrowhead = none ];
5485 -> 3267;

5486 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3266 -> 5486 [arrowhead = none ];
5486 -> 3271;

5487 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3271 -> 5487 [arrowhead = none ];
5487 -> 3272;

5488 [label="ONLY EVAL with clause\np(s(X3318), X3318).\nand substitutionX3318 -> s(s(s(s(s(0))))),\nX3308 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
3272 -> 5488 [arrowhead = none ];
5488 -> 3275;

5489 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3275 -> 5489 [arrowhead = none ];
5489 -> 3276;

5490 [label="EVAL with clause\nquot(0, s(X3328), s(X3329), X3330) :- ','(!_234, eq(X3330, 0)).\nand substitutionT948 -> 0,\nX3328 -> s(s(s(s(0)))),\nX3329 -> s(s(s(s(s(s(0)))))),\nT950 -> T957,\nX3330 -> T957,\nT956 -> T957", fontsize=14, style = filled, fillcolor = lightblue];
3276 -> 5490 [arrowhead = none ];
5490 -> 3285;

5491 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3276 -> 5491 [arrowhead = none ];
5491 -> 3286;

5492 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3285 -> 5492 [arrowhead = none ];
5492 -> 3287;

5493 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3286 -> 5493 [arrowhead = none ];
5493 -> 3297;

5494 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3287 -> 5494 [arrowhead = none ];
5494 -> 3288;

5495 [label="EVAL with clause\neq(X3333, X3333).\nand substitutionT957 -> 0,\nX3333 -> 0,\nT960 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3288 -> 5495 [arrowhead = none ];
5495 -> 3290;

5496 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3288 -> 5496 [arrowhead = none ];
5496 -> 3291;

5497 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3290 -> 5497 [arrowhead = none ];
5497 -> 3292;

5498 [label="EVAL with clause\nquot(s(X3346), X3347, X3348, X3349) :- ','(p(X3347, X3350), quot(X3346, X3350, X3348, X3349)).\nand substitutionX3346 -> T966,\nT948 -> s(T966),\nX3347 -> s(s(s(s(s(0))))),\nX3348 -> s(s(s(s(s(s(s(0))))))),\nT950 -> T968,\nX3349 -> T968,\nT967 -> T968", fontsize=14, style = filled, fillcolor = lightblue];
3297 -> 5498 [arrowhead = none ];
5498 -> 3306;

5499 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3297 -> 5499 [arrowhead = none ];
5499 -> 3307;

5500 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3306 -> 5500 [arrowhead = none ];
5500 -> 3310;

5501 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3310 -> 5501 [arrowhead = none ];
5501 -> 3312;

5502 [label="ONLY EVAL with clause\np(s(X3360), X3360).\nand substitutionX3360 -> s(s(s(s(0)))),\nX3350 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
3312 -> 5502 [arrowhead = none ];
5502 -> 3315;

5503 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3315 -> 5503 [arrowhead = none ];
5503 -> 3318;

5504 [label="EVAL with clause\nquot(0, s(X3370), s(X3371), X3372) :- ','(!_237, eq(X3372, 0)).\nand substitutionT966 -> 0,\nX3370 -> s(s(s(0))),\nX3371 -> s(s(s(s(s(s(0)))))),\nT968 -> T975,\nX3372 -> T975,\nT974 -> T975", fontsize=14, style = filled, fillcolor = lightblue];
3318 -> 5504 [arrowhead = none ];
5504 -> 3328;

5505 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3318 -> 5505 [arrowhead = none ];
5505 -> 3329;

5506 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3328 -> 5506 [arrowhead = none ];
5506 -> 3330;

5507 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3329 -> 5507 [arrowhead = none ];
5507 -> 3342;

5508 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3330 -> 5508 [arrowhead = none ];
5508 -> 3331;

5509 [label="EVAL with clause\neq(X3375, X3375).\nand substitutionT975 -> 0,\nX3375 -> 0,\nT978 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3331 -> 5509 [arrowhead = none ];
5509 -> 3336;

5510 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3331 -> 5510 [arrowhead = none ];
5510 -> 3337;

5511 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3336 -> 5511 [arrowhead = none ];
5511 -> 3338;

5512 [label="EVAL with clause\nquot(s(X3388), X3389, X3390, X3391) :- ','(p(X3389, X3392), quot(X3388, X3392, X3390, X3391)).\nand substitutionX3388 -> T984,\nT966 -> s(T984),\nX3389 -> s(s(s(s(0)))),\nX3390 -> s(s(s(s(s(s(s(0))))))),\nT968 -> T986,\nX3391 -> T986,\nT985 -> T986", fontsize=14, style = filled, fillcolor = lightblue];
3342 -> 5512 [arrowhead = none ];
5512 -> 3348;

5513 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3342 -> 5513 [arrowhead = none ];
5513 -> 3350;

5514 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3348 -> 5514 [arrowhead = none ];
5514 -> 3354;

5515 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3354 -> 5515 [arrowhead = none ];
5515 -> 3356;

5516 [label="ONLY EVAL with clause\np(s(X3402), X3402).\nand substitutionX3402 -> s(s(s(0))),\nX3392 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
3356 -> 5516 [arrowhead = none ];
5516 -> 3358;

5517 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3358 -> 5517 [arrowhead = none ];
5517 -> 3360;

5518 [label="EVAL with clause\nquot(0, s(X3412), s(X3413), X3414) :- ','(!_240, eq(X3414, 0)).\nand substitutionT984 -> 0,\nX3412 -> s(s(0)),\nX3413 -> s(s(s(s(s(s(0)))))),\nT986 -> T993,\nX3414 -> T993,\nT992 -> T993", fontsize=14, style = filled, fillcolor = lightblue];
3360 -> 5518 [arrowhead = none ];
5518 -> 3370;

5519 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3360 -> 5519 [arrowhead = none ];
5519 -> 3371;

5520 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3370 -> 5520 [arrowhead = none ];
5520 -> 3372;

5521 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3371 -> 5521 [arrowhead = none ];
5521 -> 3384;

5522 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3372 -> 5522 [arrowhead = none ];
5522 -> 3373;

5523 [label="EVAL with clause\neq(X3417, X3417).\nand substitutionT993 -> 0,\nX3417 -> 0,\nT996 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3373 -> 5523 [arrowhead = none ];
5523 -> 3378;

5524 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3373 -> 5524 [arrowhead = none ];
5524 -> 3379;

5525 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3378 -> 5525 [arrowhead = none ];
5525 -> 3380;

5526 [label="EVAL with clause\nquot(s(X3430), X3431, X3432, X3433) :- ','(p(X3431, X3434), quot(X3430, X3434, X3432, X3433)).\nand substitutionX3430 -> T1002,\nT984 -> s(T1002),\nX3431 -> s(s(s(0))),\nX3432 -> s(s(s(s(s(s(s(0))))))),\nT986 -> T1004,\nX3433 -> T1004,\nT1003 -> T1004", fontsize=14, style = filled, fillcolor = lightblue];
3384 -> 5526 [arrowhead = none ];
5526 -> 3390;

5527 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3384 -> 5527 [arrowhead = none ];
5527 -> 3391;

5528 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3390 -> 5528 [arrowhead = none ];
5528 -> 3395;

5529 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3395 -> 5529 [arrowhead = none ];
5529 -> 3396;

5530 [label="ONLY EVAL with clause\np(s(X3444), X3444).\nand substitutionX3444 -> s(s(0)),\nX3434 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
3396 -> 5530 [arrowhead = none ];
5530 -> 3399;

5531 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3399 -> 5531 [arrowhead = none ];
5531 -> 3403;

5532 [label="EVAL with clause\nquot(0, s(X3454), s(X3455), X3456) :- ','(!_243, eq(X3456, 0)).\nand substitutionT1002 -> 0,\nX3454 -> s(0),\nX3455 -> s(s(s(s(s(s(0)))))),\nT1004 -> T1011,\nX3456 -> T1011,\nT1010 -> T1011", fontsize=14, style = filled, fillcolor = lightblue];
3403 -> 5532 [arrowhead = none ];
5532 -> 3407;

5533 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3403 -> 5533 [arrowhead = none ];
5533 -> 3408;

5534 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3407 -> 5534 [arrowhead = none ];
5534 -> 3409;

5535 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3408 -> 5535 [arrowhead = none ];
5535 -> 3419;

5536 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3409 -> 5536 [arrowhead = none ];
5536 -> 3410;

5537 [label="EVAL with clause\neq(X3459, X3459).\nand substitutionT1011 -> 0,\nX3459 -> 0,\nT1014 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3410 -> 5537 [arrowhead = none ];
5537 -> 3416;

5538 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3410 -> 5538 [arrowhead = none ];
5538 -> 3417;

5539 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3416 -> 5539 [arrowhead = none ];
5539 -> 3418;

5540 [label="EVAL with clause\nquot(s(X3472), X3473, X3474, X3475) :- ','(p(X3473, X3476), quot(X3472, X3476, X3474, X3475)).\nand substitutionX3472 -> T1020,\nT1002 -> s(T1020),\nX3473 -> s(s(0)),\nX3474 -> s(s(s(s(s(s(s(0))))))),\nT1004 -> T1022,\nX3475 -> T1022,\nT1021 -> T1022", fontsize=14, style = filled, fillcolor = lightblue];
3419 -> 5540 [arrowhead = none ];
5540 -> 3430;

5541 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3419 -> 5541 [arrowhead = none ];
5541 -> 3431;

5542 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3430 -> 5542 [arrowhead = none ];
5542 -> 3434;

5543 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3434 -> 5543 [arrowhead = none ];
5543 -> 3436;

5544 [label="ONLY EVAL with clause\np(s(X3486), X3486).\nand substitutionX3486 -> s(0),\nX3476 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
3436 -> 5544 [arrowhead = none ];
5544 -> 3440;

5545 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3440 -> 5545 [arrowhead = none ];
5545 -> 3442;

5546 [label="EVAL with clause\nquot(0, s(X3496), s(X3497), X3498) :- ','(!_246, eq(X3498, 0)).\nand substitutionT1020 -> 0,\nX3496 -> 0,\nX3497 -> s(s(s(s(s(s(0)))))),\nT1022 -> T1029,\nX3498 -> T1029,\nT1028 -> T1029", fontsize=14, style = filled, fillcolor = lightblue];
3442 -> 5546 [arrowhead = none ];
5546 -> 3446;

5547 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3442 -> 5547 [arrowhead = none ];
5547 -> 3447;

5548 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3446 -> 5548 [arrowhead = none ];
5548 -> 3449;

5549 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3447 -> 5549 [arrowhead = none ];
5549 -> 3465;

5550 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3449 -> 5550 [arrowhead = none ];
5550 -> 3451;

5551 [label="EVAL with clause\neq(X3501, X3501).\nand substitutionT1029 -> 0,\nX3501 -> 0,\nT1032 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3451 -> 5551 [arrowhead = none ];
5551 -> 3459;

5552 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3451 -> 5552 [arrowhead = none ];
5552 -> 3460;

5553 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3459 -> 5553 [arrowhead = none ];
5553 -> 3461;

5554 [label="EVAL with clause\nquot(s(X3514), X3515, X3516, X3517) :- ','(p(X3515, X3518), quot(X3514, X3518, X3516, X3517)).\nand substitutionX3514 -> T1038,\nT1020 -> s(T1038),\nX3515 -> s(0),\nX3516 -> s(s(s(s(s(s(s(0))))))),\nT1022 -> T1040,\nX3517 -> T1040,\nT1039 -> T1040", fontsize=14, style = filled, fillcolor = lightblue];
3465 -> 5554 [arrowhead = none ];
5554 -> 3469;

5555 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3465 -> 5555 [arrowhead = none ];
5555 -> 3470;

5556 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3469 -> 5556 [arrowhead = none ];
5556 -> 3474;

5557 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3474 -> 5557 [arrowhead = none ];
5557 -> 3475;

5558 [label="ONLY EVAL with clause\np(s(X3528), X3528).\nand substitutionX3528 -> 0,\nX3518 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3475 -> 5558 [arrowhead = none ];
5558 -> 3478;

5559 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3478 -> 5559 [arrowhead = none ];
5559 -> 3481;

5560 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3481 -> 5560 [arrowhead = none ];
5560 -> 3482;

5561 [label="ONLY EVAL with clause\nquot(X3543, 0, X3544, X3545) :- ','(!_249, ','(eq(X3544, s(X3546)), ','(p(X3545, X3547), quot(X3543, X3544, X3544, X3547)))).\nand substitutionT1038 -> T1047,\nX3543 -> T1047,\nX3544 -> s(s(s(s(s(s(s(0))))))),\nT1040 -> T1049,\nX3545 -> T1049,\nT1048 -> T1049", fontsize=14, style = filled, fillcolor = lightblue];
3482 -> 5561 [arrowhead = none ];
5561 -> 3492;

5562 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3492 -> 5562 [arrowhead = none ];
5562 -> 3493;

5563 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3493 -> 5563 [arrowhead = none ];
5563 -> 3494;

5564 [label="ONLY EVAL with clause\neq(X3558, X3558).\nand substitutionX3558 -> s(s(s(s(s(s(s(0))))))),\nX3546 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
3494 -> 5564 [arrowhead = none ];
5564 -> 3500;

5565 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3500 -> 5565 [arrowhead = none ];
5565 -> 3501;

5566 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3501 -> 5566 [arrowhead = none ];
5566 -> 3502;

5567 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3501 -> 5567 [arrowhead = none ];
5567 -> 3503;

5568 [label="EVAL with clause\np(0, 0).\nand substitutionT1049 -> 0,\nX3547 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3502 -> 5568 [arrowhead = none ];
5568 -> 3504;

5569 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3502 -> 5569 [arrowhead = none ];
5569 -> 3505;

5570 [label="EVAL with clause\np(s(X3568), X3568).\nand substitutionX3568 -> T1053,\nT1049 -> s(T1053),\nX3547 -> T1053,\nT1052 -> T1053", fontsize=14, style = filled, fillcolor = lightblue];
3503 -> 5570 [arrowhead = none ];
5570 -> 3516;

5571 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3503 -> 5571 [arrowhead = none ];
5571 -> 3517;

5572 [label="INSTANCE with matching:\nT879 -> T1047", fontsize=14, style = filled, fillcolor = lightgrey];
3504 -> 5572 [arrowhead = none , style=dashed];
5572 -> 2902[style=dashed];

5573 [label="INSTANCE with matching:\nT879 -> T1047\nT916 -> T1053", fontsize=14, style = filled, fillcolor = lightgrey];
3516 -> 5573 [arrowhead = none , style=dashed];
5573 -> 3189[style=dashed];

5574 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3527 -> 5574 [arrowhead = none ];
5574 -> 3533;

5575 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3533 -> 5575 [arrowhead = none ];
5575 -> 3534;

5576 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3533 -> 5576 [arrowhead = none ];
5576 -> 3535;

5577 [label="EVAL with clause\np(0, 0).\nand substitutionT1062 -> 0,\nX3585 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3534 -> 5577 [arrowhead = none ];
5577 -> 3536;

5578 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3534 -> 5578 [arrowhead = none ];
5578 -> 3537;

5579 [label="EVAL with clause\np(s(X3595), X3595).\nand substitutionX3595 -> T1069,\nT1062 -> s(T1069),\nX3585 -> T1069", fontsize=14, style = filled, fillcolor = lightblue];
3535 -> 5579 [arrowhead = none ];
5579 -> 3548;

5580 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3535 -> 5580 [arrowhead = none ];
5580 -> 3549;

5581 [label="INSTANCE with matching:\nT1038 -> T1061\nT1040 -> T1064", fontsize=14, style = filled, fillcolor = lightgrey];
3536 -> 5581 [arrowhead = none , style=dashed];
5581 -> 3478[style=dashed];

5582 [label="GENERALIZATION\nT1072 <-- s(s(s(s(s(s(s(T1069)))))))\n\nNew Knowledge:\nT1072 is ground", fontsize=14, style = filled, fillcolor = violet];
3548 -> 5582 [arrowhead = none ];
5582 -> 3553;

5583 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3553 -> 5583 [arrowhead = none ];
5583 -> 3557;

5584 [label="EVAL with clause\nquot(0, s(X3608), s(X3609), X3610) :- ','(!_253, eq(X3610, 0)).\nand substitutionT1061 -> 0,\nX3608 -> T1082,\nT1069 -> s(T1082),\nT1072 -> T1083,\nX3609 -> T1083,\nT1064 -> T1085,\nX3610 -> T1085,\nT1084 -> T1085", fontsize=14, style = filled, fillcolor = lightblue];
3557 -> 5584 [arrowhead = none ];
5584 -> 3559;

5585 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3557 -> 5585 [arrowhead = none ];
5585 -> 3560;

5586 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3559 -> 5586 [arrowhead = none ];
5586 -> 3561;

5587 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3560 -> 5587 [arrowhead = none ];
5587 -> 3573;

5588 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3560 -> 5588 [arrowhead = none ];
5588 -> 3574;

5589 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3561 -> 5589 [arrowhead = none ];
5589 -> 3562;

5590 [label="EVAL with clause\neq(X3613, X3613).\nand substitutionT1085 -> 0,\nX3613 -> 0,\nT1088 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3562 -> 5590 [arrowhead = none ];
5590 -> 3564;

5591 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3562 -> 5591 [arrowhead = none ];
5591 -> 3565;

5592 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3564 -> 5592 [arrowhead = none ];
5592 -> 3566;

5593 [label="EVAL with clause\nquot(X3630, 0, X3631, X3632) :- ','(!_253, ','(eq(X3631, s(X3633)), ','(p(X3632, X3634), quot(X3630, X3631, X3631, X3634)))).\nand substitutionT1061 -> T1101,\nX3630 -> T1101,\nT1069 -> 0,\nT1072 -> T1102,\nX3631 -> s(T1102),\nT1064 -> T1104,\nX3632 -> T1104,\nT1103 -> T1104", fontsize=14, style = filled, fillcolor = lightblue];
3573 -> 5593 [arrowhead = none ];
5593 -> 3578;

5594 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3573 -> 5594 [arrowhead = none ];
5594 -> 3579;

5595 [label="EVAL with clause\nquot(s(X4434), X4435, X4436, X4437) :- ','(p(X4435, X4438), quot(X4434, X4438, X4436, X4437)).\nand substitutionX4434 -> T1333,\nT1061 -> s(T1333),\nT1069 -> T1334,\nX4435 -> T1334,\nT1072 -> T1335,\nX4436 -> s(T1335),\nT1064 -> T1337,\nX4437 -> T1337,\nT1336 -> T1337", fontsize=14, style = filled, fillcolor = lightblue];
3574 -> 5595 [arrowhead = none ];
5595 -> 4339;

5596 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3574 -> 5596 [arrowhead = none ];
5596 -> 4340;

5597 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3578 -> 5597 [arrowhead = none ];
5597 -> 3580;

5598 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3580 -> 5598 [arrowhead = none ];
5598 -> 3584;

5599 [label="ONLY EVAL with clause\neq(X3645, X3645).\nand substitutionT1102 -> T1109,\nX3645 -> s(T1109),\nX3633 -> T1109", fontsize=14, style = filled, fillcolor = lightblue];
3584 -> 5599 [arrowhead = none ];
5599 -> 3588;

5600 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3588 -> 5600 [arrowhead = none ];
5600 -> 3590;

5601 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3590 -> 5601 [arrowhead = none ];
5601 -> 3591;

5602 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3590 -> 5602 [arrowhead = none ];
5602 -> 3592;

5603 [label="EVAL with clause\np(0, 0).\nand substitutionT1104 -> 0,\nX3634 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3591 -> 5603 [arrowhead = none ];
5603 -> 3593;

5604 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3591 -> 5604 [arrowhead = none ];
5604 -> 3594;

5605 [label="EVAL with clause\np(s(X4421), X4421).\nand substitutionX4421 -> T1322,\nT1104 -> s(T1322),\nX3634 -> T1322,\nT1321 -> T1322", fontsize=14, style = filled, fillcolor = lightblue];
3592 -> 5605 [arrowhead = none ];
5605 -> 4335;

5606 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3592 -> 5606 [arrowhead = none ];
5606 -> 4336;

5607 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3593 -> 5607 [arrowhead = none ];
5607 -> 3605;

5608 [label="EVAL with clause\nquot(0, s(X3659), s(X3660), X3661) :- ','(!_257, eq(X3661, 0)).\nand substitutionT1101 -> 0,\nT1109 -> T1114,\nX3659 -> T1114,\nX3660 -> T1114,\nX3661 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3605 -> 5608 [arrowhead = none ];
5608 -> 3609;

5609 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3605 -> 5609 [arrowhead = none ];
5609 -> 3610;

5610 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3609 -> 5610 [arrowhead = none ];
5610 -> 3611;

5611 [label="BACKTRACK\nfor clause: quot(X, 0, Z, U) :- ','(!, ','(eq(Z, s(X1)), ','(p(U, P), quot(X, Z, Z, P))))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3610 -> 5611 [arrowhead = none ];
5611 -> 3617;

5612 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3611 -> 5612 [arrowhead = none ];
5612 -> 3612;

5613 [label="ONLY EVAL with clause\neq(X3664, X3664).\nand substitutionX3664 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3612 -> 5613 [arrowhead = none ];
5613 -> 3613;

5614 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3613 -> 5614 [arrowhead = none ];
5614 -> 3614;

5615 [label="EVAL with clause\nquot(s(X3677), X3678, X3679, X3680) :- ','(p(X3678, X3681), quot(X3677, X3681, X3679, X3680)).\nand substitutionX3677 -> T1120,\nT1101 -> s(T1120),\nT1109 -> T1121,\nX3678 -> s(T1121),\nX3679 -> s(T1121),\nX3680 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3617 -> 5615 [arrowhead = none ];
5615 -> 3627;

5616 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3617 -> 5616 [arrowhead = none ];
5616 -> 3628;

5617 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3627 -> 5617 [arrowhead = none ];
5617 -> 3632;

5618 [label="BACKTRACK\nfor clause: p(0, 0)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3632 -> 5618 [arrowhead = none ];
5618 -> 3634;

5619 [label="ONLY EVAL with clause\np(s(X3691), X3691).\nand substitutionT1121 -> T1126,\nX3691 -> T1126,\nX3681 -> T1126", fontsize=14, style = filled, fillcolor = lightblue];
3634 -> 5619 [arrowhead = none ];
5619 -> 3640;

5620 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3640 -> 5620 [arrowhead = none ];
5620 -> 3646;

5621 [label="EVAL with clause\nquot(0, s(X3701), s(X3702), X3703) :- ','(!_260, eq(X3703, 0)).\nand substitutionT1120 -> 0,\nX3701 -> T1130,\nT1126 -> s(T1130),\nX3702 -> s(T1130),\nX3703 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3646 -> 5621 [arrowhead = none ];
5621 -> 3656;

5622 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3646 -> 5622 [arrowhead = none ];
5622 -> 3658;

5623 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3656 -> 5623 [arrowhead = none ];
5623 -> 3659;

5624 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3658 -> 5624 [arrowhead = none ];
5624 -> 3664;

5625 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3658 -> 5625 [arrowhead = none ];
5625 -> 3665;

5626 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3659 -> 5626 [arrowhead = none ];
5626 -> 3660;

5627 [label="ONLY EVAL with clause\neq(X3706, X3706).\nand substitutionX3706 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3660 -> 5627 [arrowhead = none ];
5627 -> 3662;

5628 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3662 -> 5628 [arrowhead = none ];
5628 -> 3663;

5629 [label="EVAL with clause\nquot(X3723, 0, X3724, X3725) :- ','(!_260, ','(eq(X3724, s(X3726)), ','(p(X3725, X3727), quot(X3723, X3724, X3724, X3727)))).\nand substitutionT1120 -> T1135,\nX3723 -> T1135,\nT1126 -> 0,\nX3724 -> s(0),\nX3725 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3664 -> 5629 [arrowhead = none ];
5629 -> 3675;

5630 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3664 -> 5630 [arrowhead = none ];
5630 -> 3676;

5631 [label="EVAL with clause\nquot(s(X3762), X3763, X3764, X3765) :- ','(p(X3763, X3766), quot(X3762, X3766, X3764, X3765)).\nand substitutionX3762 -> T1140,\nT1120 -> s(T1140),\nT1126 -> T1141,\nX3763 -> T1141,\nX3764 -> s(T1141),\nX3765 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3665 -> 5631 [arrowhead = none ];
5631 -> 3707;

5632 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3665 -> 5632 [arrowhead = none ];
5632 -> 3708;

5633 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3675 -> 5633 [arrowhead = none ];
5633 -> 3677;

5634 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3677 -> 5634 [arrowhead = none ];
5634 -> 3680;

5635 [label="ONLY EVAL with clause\neq(X3738, X3738).\nand substitutionX3738 -> s(0),\nX3726 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3680 -> 5635 [arrowhead = none ];
5635 -> 3684;

5636 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3684 -> 5636 [arrowhead = none ];
5636 -> 3686;

5637 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3686 -> 5637 [arrowhead = none ];
5637 -> 3688;

5638 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3686 -> 5638 [arrowhead = none ];
5638 -> 3689;

5639 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX3727 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3688 -> 5639 [arrowhead = none ];
5639 -> 3690;

5640 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3689 -> 5640 [arrowhead = none ];
5640 -> 3697;

5641 [label="INSTANCE with matching:\nT75 -> T1135", fontsize=14, style = filled, fillcolor = lightgrey];
3690 -> 5641 [arrowhead = none , style=dashed];
5641 -> 193[style=dashed];

5642 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3707 -> 5642 [arrowhead = none ];
5642 -> 3712;

5643 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3712 -> 5643 [arrowhead = none ];
5643 -> 3713;

5644 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3712 -> 5644 [arrowhead = none ];
5644 -> 3714;

5645 [label="EVAL with clause\np(0, 0).\nand substitutionT1141 -> 0,\nX3766 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3713 -> 5645 [arrowhead = none ];
5645 -> 3715;

5646 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3713 -> 5646 [arrowhead = none ];
5646 -> 3716;

5647 [label="EVAL with clause\np(s(X3776), X3776).\nand substitutionX3776 -> T1145,\nT1141 -> s(T1145),\nX3766 -> T1145", fontsize=14, style = filled, fillcolor = lightblue];
3714 -> 5647 [arrowhead = none ];
5647 -> 3723;

5648 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3714 -> 5648 [arrowhead = none ];
5648 -> 3724;

5649 [label="INSTANCE with matching:\nT81 -> T1140", fontsize=14, style = filled, fillcolor = lightgrey];
3715 -> 5649 [arrowhead = none , style=dashed];
5649 -> 252[style=dashed];

5650 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3723 -> 5650 [arrowhead = none ];
5650 -> 3732;

5651 [label="EVAL with clause\nquot(0, s(X3786), s(X3787), X3788) :- ','(!_265, eq(X3788, 0)).\nand substitutionT1140 -> 0,\nX3786 -> T1149,\nT1145 -> s(T1149),\nX3787 -> s(s(T1149)),\nX3788 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3732 -> 5651 [arrowhead = none ];
5651 -> 3736;

5652 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3732 -> 5652 [arrowhead = none ];
5652 -> 3737;

5653 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3736 -> 5653 [arrowhead = none ];
5653 -> 3739;

5654 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3737 -> 5654 [arrowhead = none ];
5654 -> 3746;

5655 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3737 -> 5655 [arrowhead = none ];
5655 -> 3748;

5656 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3739 -> 5656 [arrowhead = none ];
5656 -> 3741;

5657 [label="ONLY EVAL with clause\neq(X3791, X3791).\nand substitutionX3791 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3741 -> 5657 [arrowhead = none ];
5657 -> 3742;

5658 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3742 -> 5658 [arrowhead = none ];
5658 -> 3743;

5659 [label="EVAL with clause\nquot(X3808, 0, X3809, X3810) :- ','(!_265, ','(eq(X3809, s(X3811)), ','(p(X3810, X3812), quot(X3808, X3809, X3809, X3812)))).\nand substitutionT1140 -> T1154,\nX3808 -> T1154,\nT1145 -> 0,\nX3809 -> s(s(0)),\nX3810 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3746 -> 5659 [arrowhead = none ];
5659 -> 3760;

5660 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3746 -> 5660 [arrowhead = none ];
5660 -> 3761;

5661 [label="EVAL with clause\nquot(s(X3847), X3848, X3849, X3850) :- ','(p(X3848, X3851), quot(X3847, X3851, X3849, X3850)).\nand substitutionX3847 -> T1159,\nT1140 -> s(T1159),\nT1145 -> T1160,\nX3848 -> T1160,\nX3849 -> s(s(T1160)),\nX3850 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3748 -> 5661 [arrowhead = none ];
5661 -> 3794;

5662 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3748 -> 5662 [arrowhead = none ];
5662 -> 3795;

5663 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3760 -> 5663 [arrowhead = none ];
5663 -> 3762;

5664 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3762 -> 5664 [arrowhead = none ];
5664 -> 3763;

5665 [label="ONLY EVAL with clause\neq(X3823, X3823).\nand substitutionX3823 -> s(s(0)),\nX3811 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
3763 -> 5665 [arrowhead = none ];
5665 -> 3768;

5666 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3768 -> 5666 [arrowhead = none ];
5666 -> 3770;

5667 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3770 -> 5667 [arrowhead = none ];
5667 -> 3771;

5668 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3770 -> 5668 [arrowhead = none ];
5668 -> 3772;

5669 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX3812 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3771 -> 5669 [arrowhead = none ];
5669 -> 3778;

5670 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3772 -> 5670 [arrowhead = none ];
5670 -> 3781;

5671 [label="INSTANCE with matching:\nT154 -> T1154", fontsize=14, style = filled, fillcolor = lightgrey];
3778 -> 5671 [arrowhead = none , style=dashed];
5671 -> 426[style=dashed];

5672 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3794 -> 5672 [arrowhead = none ];
5672 -> 3797;

5673 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3797 -> 5673 [arrowhead = none ];
5673 -> 3798;

5674 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3797 -> 5674 [arrowhead = none ];
5674 -> 3799;

5675 [label="EVAL with clause\np(0, 0).\nand substitutionT1160 -> 0,\nX3851 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3798 -> 5675 [arrowhead = none ];
5675 -> 3800;

5676 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3798 -> 5676 [arrowhead = none ];
5676 -> 3801;

5677 [label="EVAL with clause\np(s(X3861), X3861).\nand substitutionX3861 -> T1164,\nT1160 -> s(T1164),\nX3851 -> T1164", fontsize=14, style = filled, fillcolor = lightblue];
3799 -> 5677 [arrowhead = none ];
5677 -> 3809;

5678 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3799 -> 5678 [arrowhead = none ];
5678 -> 3810;

5679 [label="INSTANCE with matching:\nT164 -> T1159", fontsize=14, style = filled, fillcolor = lightgrey];
3800 -> 5679 [arrowhead = none , style=dashed];
5679 -> 501[style=dashed];

5680 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3809 -> 5680 [arrowhead = none ];
5680 -> 3812;

5681 [label="EVAL with clause\nquot(0, s(X3871), s(X3872), X3873) :- ','(!_270, eq(X3873, 0)).\nand substitutionT1159 -> 0,\nX3871 -> T1168,\nT1164 -> s(T1168),\nX3872 -> s(s(s(T1168))),\nX3873 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3812 -> 5681 [arrowhead = none ];
5681 -> 3819;

5682 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3812 -> 5682 [arrowhead = none ];
5682 -> 3820;

5683 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3819 -> 5683 [arrowhead = none ];
5683 -> 3821;

5684 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3820 -> 5684 [arrowhead = none ];
5684 -> 3828;

5685 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3820 -> 5685 [arrowhead = none ];
5685 -> 3829;

5686 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3821 -> 5686 [arrowhead = none ];
5686 -> 3822;

5687 [label="ONLY EVAL with clause\neq(X3876, X3876).\nand substitutionX3876 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3822 -> 5687 [arrowhead = none ];
5687 -> 3826;

5688 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3826 -> 5688 [arrowhead = none ];
5688 -> 3827;

5689 [label="EVAL with clause\nquot(X3893, 0, X3894, X3895) :- ','(!_270, ','(eq(X3894, s(X3896)), ','(p(X3895, X3897), quot(X3893, X3894, X3894, X3897)))).\nand substitutionT1159 -> T1173,\nX3893 -> T1173,\nT1164 -> 0,\nX3894 -> s(s(s(0))),\nX3895 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3828 -> 5689 [arrowhead = none ];
5689 -> 3838;

5690 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3828 -> 5690 [arrowhead = none ];
5690 -> 3839;

5691 [label="EVAL with clause\nquot(s(X3932), X3933, X3934, X3935) :- ','(p(X3933, X3936), quot(X3932, X3936, X3934, X3935)).\nand substitutionX3932 -> T1178,\nT1159 -> s(T1178),\nT1164 -> T1179,\nX3933 -> T1179,\nX3934 -> s(s(s(T1179))),\nX3935 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3829 -> 5691 [arrowhead = none ];
5691 -> 3868;

5692 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3829 -> 5692 [arrowhead = none ];
5692 -> 3869;

5693 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3838 -> 5693 [arrowhead = none ];
5693 -> 3842;

5694 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3842 -> 5694 [arrowhead = none ];
5694 -> 3844;

5695 [label="ONLY EVAL with clause\neq(X3908, X3908).\nand substitutionX3908 -> s(s(s(0))),\nX3896 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
3844 -> 5695 [arrowhead = none ];
5695 -> 3848;

5696 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3848 -> 5696 [arrowhead = none ];
5696 -> 3850;

5697 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3850 -> 5697 [arrowhead = none ];
5697 -> 3854;

5698 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3850 -> 5698 [arrowhead = none ];
5698 -> 3855;

5699 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX3897 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3854 -> 5699 [arrowhead = none ];
5699 -> 3857;

5700 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3855 -> 5700 [arrowhead = none ];
5700 -> 3863;

5701 [label="INSTANCE with matching:\nT255 -> T1173", fontsize=14, style = filled, fillcolor = lightgrey];
3857 -> 5701 [arrowhead = none , style=dashed];
5701 -> 782[style=dashed];

5702 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3868 -> 5702 [arrowhead = none ];
5702 -> 3872;

5703 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3872 -> 5703 [arrowhead = none ];
5703 -> 3873;

5704 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3872 -> 5704 [arrowhead = none ];
5704 -> 3874;

5705 [label="EVAL with clause\np(0, 0).\nand substitutionT1179 -> 0,\nX3936 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3873 -> 5705 [arrowhead = none ];
5705 -> 3875;

5706 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3873 -> 5706 [arrowhead = none ];
5706 -> 3876;

5707 [label="EVAL with clause\np(s(X3946), X3946).\nand substitutionX3946 -> T1183,\nT1179 -> s(T1183),\nX3936 -> T1183", fontsize=14, style = filled, fillcolor = lightblue];
3874 -> 5707 [arrowhead = none ];
5707 -> 3880;

5708 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3874 -> 5708 [arrowhead = none ];
5708 -> 3881;

5709 [label="INSTANCE with matching:\nT269 -> T1178", fontsize=14, style = filled, fillcolor = lightgrey];
3875 -> 5709 [arrowhead = none , style=dashed];
5709 -> 873[style=dashed];

5710 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3880 -> 5710 [arrowhead = none ];
5710 -> 3884;

5711 [label="EVAL with clause\nquot(0, s(X3956), s(X3957), X3958) :- ','(!_275, eq(X3958, 0)).\nand substitutionT1178 -> 0,\nX3956 -> T1187,\nT1183 -> s(T1187),\nX3957 -> s(s(s(s(T1187)))),\nX3958 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3884 -> 5711 [arrowhead = none ];
5711 -> 3888;

5712 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3884 -> 5712 [arrowhead = none ];
5712 -> 3889;

5713 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3888 -> 5713 [arrowhead = none ];
5713 -> 3890;

5714 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3889 -> 5714 [arrowhead = none ];
5714 -> 3900;

5715 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3889 -> 5715 [arrowhead = none ];
5715 -> 3901;

5716 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3890 -> 5716 [arrowhead = none ];
5716 -> 3891;

5717 [label="ONLY EVAL with clause\neq(X3961, X3961).\nand substitutionX3961 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3891 -> 5717 [arrowhead = none ];
5717 -> 3895;

5718 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3895 -> 5718 [arrowhead = none ];
5718 -> 3896;

5719 [label="EVAL with clause\nquot(X3978, 0, X3979, X3980) :- ','(!_275, ','(eq(X3979, s(X3981)), ','(p(X3980, X3982), quot(X3978, X3979, X3979, X3982)))).\nand substitutionT1178 -> T1192,\nX3978 -> T1192,\nT1183 -> 0,\nX3979 -> s(s(s(s(0)))),\nX3980 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3900 -> 5719 [arrowhead = none ];
5719 -> 3912;

5720 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3900 -> 5720 [arrowhead = none ];
5720 -> 3913;

5721 [label="EVAL with clause\nquot(s(X4017), X4018, X4019, X4020) :- ','(p(X4018, X4021), quot(X4017, X4021, X4019, X4020)).\nand substitutionX4017 -> T1197,\nT1178 -> s(T1197),\nT1183 -> T1198,\nX4018 -> T1198,\nX4019 -> s(s(s(s(T1198)))),\nX4020 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3901 -> 5721 [arrowhead = none ];
5721 -> 3943;

5722 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3901 -> 5722 [arrowhead = none ];
5722 -> 3944;

5723 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3912 -> 5723 [arrowhead = none ];
5723 -> 3914;

5724 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3914 -> 5724 [arrowhead = none ];
5724 -> 3915;

5725 [label="ONLY EVAL with clause\neq(X3993, X3993).\nand substitutionX3993 -> s(s(s(s(0)))),\nX3981 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
3915 -> 5725 [arrowhead = none ];
5725 -> 3922;

5726 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3922 -> 5726 [arrowhead = none ];
5726 -> 3927;

5727 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3927 -> 5727 [arrowhead = none ];
5727 -> 3935;

5728 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3927 -> 5728 [arrowhead = none ];
5728 -> 3936;

5729 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX3982 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3935 -> 5729 [arrowhead = none ];
5729 -> 3938;

5730 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
3936 -> 5730 [arrowhead = none ];
5730 -> 3940;

5731 [label="INSTANCE with matching:\nT378 -> T1192", fontsize=14, style = filled, fillcolor = lightgrey];
3938 -> 5731 [arrowhead = none , style=dashed];
5731 -> 1178[style=dashed];

5732 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3943 -> 5732 [arrowhead = none ];
5732 -> 3948;

5733 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3948 -> 5733 [arrowhead = none ];
5733 -> 3949;

5734 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3948 -> 5734 [arrowhead = none ];
5734 -> 3950;

5735 [label="EVAL with clause\np(0, 0).\nand substitutionT1198 -> 0,\nX4021 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3949 -> 5735 [arrowhead = none ];
5735 -> 3951;

5736 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3949 -> 5736 [arrowhead = none ];
5736 -> 3952;

5737 [label="EVAL with clause\np(s(X4031), X4031).\nand substitutionX4031 -> T1202,\nT1198 -> s(T1202),\nX4021 -> T1202", fontsize=14, style = filled, fillcolor = lightblue];
3950 -> 5737 [arrowhead = none ];
5737 -> 3962;

5738 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3950 -> 5738 [arrowhead = none ];
5738 -> 3963;

5739 [label="INSTANCE with matching:\nT396 -> T1197", fontsize=14, style = filled, fillcolor = lightgrey];
3951 -> 5739 [arrowhead = none , style=dashed];
5739 -> 1310[style=dashed];

5740 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3962 -> 5740 [arrowhead = none ];
5740 -> 3968;

5741 [label="EVAL with clause\nquot(0, s(X4041), s(X4042), X4043) :- ','(!_280, eq(X4043, 0)).\nand substitutionT1197 -> 0,\nX4041 -> T1206,\nT1202 -> s(T1206),\nX4042 -> s(s(s(s(s(T1206))))),\nX4043 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3968 -> 5741 [arrowhead = none ];
5741 -> 3972;

5742 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3968 -> 5742 [arrowhead = none ];
5742 -> 3973;

5743 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3972 -> 5743 [arrowhead = none ];
5743 -> 3974;

5744 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3973 -> 5744 [arrowhead = none ];
5744 -> 3988;

5745 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
3973 -> 5745 [arrowhead = none ];
5745 -> 3989;

5746 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3974 -> 5746 [arrowhead = none ];
5746 -> 3975;

5747 [label="ONLY EVAL with clause\neq(X4046, X4046).\nand substitutionX4046 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3975 -> 5747 [arrowhead = none ];
5747 -> 3976;

5748 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
3976 -> 5748 [arrowhead = none ];
5748 -> 3977;

5749 [label="EVAL with clause\nquot(X4063, 0, X4064, X4065) :- ','(!_280, ','(eq(X4064, s(X4066)), ','(p(X4065, X4067), quot(X4063, X4064, X4064, X4067)))).\nand substitutionT1197 -> T1211,\nX4063 -> T1211,\nT1202 -> 0,\nX4064 -> s(s(s(s(s(0))))),\nX4065 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3988 -> 5749 [arrowhead = none ];
5749 -> 3996;

5750 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3988 -> 5750 [arrowhead = none ];
5750 -> 3997;

5751 [label="EVAL with clause\nquot(s(X4102), X4103, X4104, X4105) :- ','(p(X4103, X4106), quot(X4102, X4106, X4104, X4105)).\nand substitutionX4102 -> T1216,\nT1197 -> s(T1216),\nT1202 -> T1217,\nX4103 -> T1217,\nX4104 -> s(s(s(s(s(T1217))))),\nX4105 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
3989 -> 5751 [arrowhead = none ];
5751 -> 4027;

5752 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
3989 -> 5752 [arrowhead = none ];
5752 -> 4028;

5753 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
3996 -> 5753 [arrowhead = none ];
5753 -> 3998;

5754 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3998 -> 5754 [arrowhead = none ];
5754 -> 4003;

5755 [label="ONLY EVAL with clause\neq(X4078, X4078).\nand substitutionX4078 -> s(s(s(s(s(0))))),\nX4066 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
4003 -> 5755 [arrowhead = none ];
5755 -> 4006;

5756 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4006 -> 5756 [arrowhead = none ];
5756 -> 4007;

5757 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4007 -> 5757 [arrowhead = none ];
5757 -> 4009;

5758 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4007 -> 5758 [arrowhead = none ];
5758 -> 4010;

5759 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX4067 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4009 -> 5759 [arrowhead = none ];
5759 -> 4014;

5760 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
4010 -> 5760 [arrowhead = none ];
5760 -> 4023;

5761 [label="INSTANCE with matching:\nT523 -> T1211", fontsize=14, style = filled, fillcolor = lightgrey];
4014 -> 5761 [arrowhead = none , style=dashed];
5761 -> 1678[style=dashed];

5762 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4027 -> 5762 [arrowhead = none ];
5762 -> 4029;

5763 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4029 -> 5763 [arrowhead = none ];
5763 -> 4030;

5764 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4029 -> 5764 [arrowhead = none ];
5764 -> 4031;

5765 [label="EVAL with clause\np(0, 0).\nand substitutionT1217 -> 0,\nX4106 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4030 -> 5765 [arrowhead = none ];
5765 -> 4032;

5766 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4030 -> 5766 [arrowhead = none ];
5766 -> 4034;

5767 [label="EVAL with clause\np(s(X4116), X4116).\nand substitutionX4116 -> T1221,\nT1217 -> s(T1221),\nX4106 -> T1221", fontsize=14, style = filled, fillcolor = lightblue];
4031 -> 5767 [arrowhead = none ];
5767 -> 4046;

5768 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4031 -> 5768 [arrowhead = none ];
5768 -> 4047;

5769 [label="INSTANCE with matching:\nT545 -> T1216", fontsize=14, style = filled, fillcolor = lightgrey];
4032 -> 5769 [arrowhead = none , style=dashed];
5769 -> 1862[style=dashed];

5770 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4046 -> 5770 [arrowhead = none ];
5770 -> 4052;

5771 [label="EVAL with clause\nquot(0, s(X4126), s(X4127), X4128) :- ','(!_285, eq(X4128, 0)).\nand substitutionT1216 -> 0,\nX4126 -> T1225,\nT1221 -> s(T1225),\nX4127 -> s(s(s(s(s(s(T1225)))))),\nX4128 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4052 -> 5771 [arrowhead = none ];
5771 -> 4056;

5772 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4052 -> 5772 [arrowhead = none ];
5772 -> 4057;

5773 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
4056 -> 5773 [arrowhead = none ];
5773 -> 4058;

5774 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4057 -> 5774 [arrowhead = none ];
5774 -> 4065;

5775 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4057 -> 5775 [arrowhead = none ];
5775 -> 4066;

5776 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4058 -> 5776 [arrowhead = none ];
5776 -> 4059;

5777 [label="ONLY EVAL with clause\neq(X4131, X4131).\nand substitutionX4131 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4059 -> 5777 [arrowhead = none ];
5777 -> 4060;

5778 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
4060 -> 5778 [arrowhead = none ];
5778 -> 4061;

5779 [label="EVAL with clause\nquot(X4148, 0, X4149, X4150) :- ','(!_285, ','(eq(X4149, s(X4151)), ','(p(X4150, X4152), quot(X4148, X4149, X4149, X4152)))).\nand substitutionT1216 -> T1230,\nX4148 -> T1230,\nT1221 -> 0,\nX4149 -> s(s(s(s(s(s(0)))))),\nX4150 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4065 -> 5779 [arrowhead = none ];
5779 -> 4075;

5780 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4065 -> 5780 [arrowhead = none ];
5780 -> 4076;

5781 [label="EVAL with clause\nquot(s(X4187), X4188, X4189, X4190) :- ','(p(X4188, X4191), quot(X4187, X4191, X4189, X4190)).\nand substitutionX4187 -> T1235,\nT1216 -> s(T1235),\nT1221 -> T1236,\nX4188 -> T1236,\nX4189 -> s(s(s(s(s(s(T1236)))))),\nX4190 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4066 -> 5781 [arrowhead = none ];
5781 -> 4108;

5782 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4066 -> 5782 [arrowhead = none ];
5782 -> 4110;

5783 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
4075 -> 5783 [arrowhead = none ];
5783 -> 4077;

5784 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4077 -> 5784 [arrowhead = none ];
5784 -> 4083;

5785 [label="ONLY EVAL with clause\neq(X4163, X4163).\nand substitutionX4163 -> s(s(s(s(s(s(0)))))),\nX4151 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
4083 -> 5785 [arrowhead = none ];
5785 -> 4085;

5786 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4085 -> 5786 [arrowhead = none ];
5786 -> 4086;

5787 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4086 -> 5787 [arrowhead = none ];
5787 -> 4091;

5788 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4086 -> 5788 [arrowhead = none ];
5788 -> 4092;

5789 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX4152 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4091 -> 5789 [arrowhead = none ];
5789 -> 4094;

5790 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
4092 -> 5790 [arrowhead = none ];
5790 -> 4095;

5791 [label="INSTANCE with matching:\nT690 -> T1230", fontsize=14, style = filled, fillcolor = lightgrey];
4094 -> 5791 [arrowhead = none , style=dashed];
5791 -> 2238[style=dashed];

5792 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4108 -> 5792 [arrowhead = none ];
5792 -> 4111;

5793 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4111 -> 5793 [arrowhead = none ];
5793 -> 4112;

5794 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4111 -> 5794 [arrowhead = none ];
5794 -> 4113;

5795 [label="EVAL with clause\np(0, 0).\nand substitutionT1236 -> 0,\nX4191 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4112 -> 5795 [arrowhead = none ];
5795 -> 4114;

5796 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4112 -> 5796 [arrowhead = none ];
5796 -> 4115;

5797 [label="EVAL with clause\np(s(X4201), X4201).\nand substitutionX4201 -> T1240,\nT1236 -> s(T1240),\nX4191 -> T1240", fontsize=14, style = filled, fillcolor = lightblue];
4113 -> 5797 [arrowhead = none ];
5797 -> 4126;

5798 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4113 -> 5798 [arrowhead = none ];
5798 -> 4127;

5799 [label="INSTANCE with matching:\nT716 -> T1235", fontsize=14, style = filled, fillcolor = lightgrey];
4114 -> 5799 [arrowhead = none , style=dashed];
5799 -> 2466[style=dashed];

5800 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4126 -> 5800 [arrowhead = none ];
5800 -> 4132;

5801 [label="EVAL with clause\nquot(0, s(X4211), s(X4212), X4213) :- ','(!_290, eq(X4213, 0)).\nand substitutionT1235 -> 0,\nX4211 -> T1244,\nT1240 -> s(T1244),\nX4212 -> s(s(s(s(s(s(s(T1244))))))),\nX4213 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4132 -> 5801 [arrowhead = none ];
5801 -> 4140;

5802 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4132 -> 5802 [arrowhead = none ];
5802 -> 4141;

5803 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
4140 -> 5803 [arrowhead = none ];
5803 -> 4142;

5804 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4141 -> 5804 [arrowhead = none ];
5804 -> 4147;

5805 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4141 -> 5805 [arrowhead = none ];
5805 -> 4149;

5806 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4142 -> 5806 [arrowhead = none ];
5806 -> 4143;

5807 [label="ONLY EVAL with clause\neq(X4216, X4216).\nand substitutionX4216 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4143 -> 5807 [arrowhead = none ];
5807 -> 4144;

5808 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
4144 -> 5808 [arrowhead = none ];
5808 -> 4145;

5809 [label="EVAL with clause\nquot(X4233, 0, X4234, X4235) :- ','(!_290, ','(eq(X4234, s(X4236)), ','(p(X4235, X4237), quot(X4233, X4234, X4234, X4237)))).\nand substitutionT1235 -> T1249,\nX4233 -> T1249,\nT1240 -> 0,\nX4234 -> s(s(s(s(s(s(s(0))))))),\nX4235 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4147 -> 5809 [arrowhead = none ];
5809 -> 4158;

5810 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4147 -> 5810 [arrowhead = none ];
5810 -> 4159;

5811 [label="EVAL with clause\nquot(s(X4272), X4273, X4274, X4275) :- ','(p(X4273, X4276), quot(X4272, X4276, X4274, X4275)).\nand substitutionX4272 -> T1254,\nT1235 -> s(T1254),\nT1240 -> T1255,\nX4273 -> T1255,\nX4274 -> s(s(s(s(s(s(s(T1255))))))),\nX4275 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4149 -> 5811 [arrowhead = none ];
5811 -> 4192;

5812 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4149 -> 5812 [arrowhead = none ];
5812 -> 4193;

5813 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
4158 -> 5813 [arrowhead = none ];
5813 -> 4160;

5814 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4160 -> 5814 [arrowhead = none ];
5814 -> 4164;

5815 [label="ONLY EVAL with clause\neq(X4248, X4248).\nand substitutionX4248 -> s(s(s(s(s(s(s(0))))))),\nX4236 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
4164 -> 5815 [arrowhead = none ];
5815 -> 4168;

5816 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4168 -> 5816 [arrowhead = none ];
5816 -> 4171;

5817 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4171 -> 5817 [arrowhead = none ];
5817 -> 4172;

5818 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4171 -> 5818 [arrowhead = none ];
5818 -> 4173;

5819 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX4237 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4172 -> 5819 [arrowhead = none ];
5819 -> 4175;

5820 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
4173 -> 5820 [arrowhead = none ];
5820 -> 4180;

5821 [label="INSTANCE with matching:\nT879 -> T1249", fontsize=14, style = filled, fillcolor = lightgrey];
4175 -> 5821 [arrowhead = none , style=dashed];
5821 -> 2902[style=dashed];

5822 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4192 -> 5822 [arrowhead = none ];
5822 -> 4195;

5823 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4195 -> 5823 [arrowhead = none ];
5823 -> 4196;

5824 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4195 -> 5824 [arrowhead = none ];
5824 -> 4197;

5825 [label="EVAL with clause\np(0, 0).\nand substitutionT1255 -> 0,\nX4276 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4196 -> 5825 [arrowhead = none ];
5825 -> 4198;

5826 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4196 -> 5826 [arrowhead = none ];
5826 -> 4199;

5827 [label="EVAL with clause\np(s(X4286), X4286).\nand substitutionX4286 -> T1259,\nT1255 -> s(T1259),\nX4276 -> T1259", fontsize=14, style = filled, fillcolor = lightblue];
4197 -> 5827 [arrowhead = none ];
5827 -> 4203;

5828 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4197 -> 5828 [arrowhead = none ];
5828 -> 4204;

5829 [label="INSTANCE with matching:\nT909 -> T1254", fontsize=14, style = filled, fillcolor = lightgrey];
4198 -> 5829 [arrowhead = none , style=dashed];
5829 -> 3150[style=dashed];

5830 [label="GENERALIZATION\nT1261 <-- s(s(s(s(s(s(s(T1259)))))))\n\nNew Knowledge:\nT1261 is ground", fontsize=14, style = filled, fillcolor = violet];
4203 -> 5830 [arrowhead = none ];
5830 -> 4208;

5831 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4208 -> 5831 [arrowhead = none ];
5831 -> 4220;

5832 [label="EVAL with clause\nquot(0, s(X4299), s(X4300), X4301) :- ','(!_295, eq(X4301, 0)).\nand substitutionT1254 -> 0,\nX4299 -> T1268,\nT1259 -> s(T1268),\nT1261 -> T1269,\nX4300 -> T1269,\nX4301 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4220 -> 5832 [arrowhead = none ];
5832 -> 4225;

5833 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4220 -> 5833 [arrowhead = none ];
5833 -> 4226;

5834 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
4225 -> 5834 [arrowhead = none ];
5834 -> 4227;

5835 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4226 -> 5835 [arrowhead = none ];
5835 -> 4238;

5836 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4226 -> 5836 [arrowhead = none ];
5836 -> 4239;

5837 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4227 -> 5837 [arrowhead = none ];
5837 -> 4228;

5838 [label="ONLY EVAL with clause\neq(X4304, X4304).\nand substitutionX4304 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4228 -> 5838 [arrowhead = none ];
5838 -> 4229;

5839 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
4229 -> 5839 [arrowhead = none ];
5839 -> 4230;

5840 [label="EVAL with clause\nquot(X4321, 0, X4322, X4323) :- ','(!_295, ','(eq(X4322, s(X4324)), ','(p(X4323, X4325), quot(X4321, X4322, X4322, X4325)))).\nand substitutionT1254 -> T1278,\nX4321 -> T1278,\nT1259 -> 0,\nT1261 -> T1279,\nX4322 -> s(T1279),\nX4323 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4238 -> 5840 [arrowhead = none ];
5840 -> 4246;

5841 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4238 -> 5841 [arrowhead = none ];
5841 -> 4247;

5842 [label="EVAL with clause\nquot(s(X4360), X4361, X4362, X4363) :- ','(p(X4361, X4364), quot(X4360, X4364, X4362, X4363)).\nand substitutionX4360 -> T1295,\nT1254 -> s(T1295),\nT1259 -> T1296,\nX4361 -> T1296,\nT1261 -> T1297,\nX4362 -> s(T1297),\nX4363 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4239 -> 5842 [arrowhead = none ];
5842 -> 4275;

5843 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4239 -> 5843 [arrowhead = none ];
5843 -> 4276;

5844 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
4246 -> 5844 [arrowhead = none ];
5844 -> 4248;

5845 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4248 -> 5845 [arrowhead = none ];
5845 -> 4253;

5846 [label="ONLY EVAL with clause\neq(X4336, X4336).\nand substitutionT1279 -> T1284,\nX4336 -> s(T1284),\nX4324 -> T1284", fontsize=14, style = filled, fillcolor = lightblue];
4253 -> 5846 [arrowhead = none ];
5846 -> 4256;

5847 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4256 -> 5847 [arrowhead = none ];
5847 -> 4259;

5848 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4259 -> 5848 [arrowhead = none ];
5848 -> 4260;

5849 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4259 -> 5849 [arrowhead = none ];
5849 -> 4261;

5850 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX4325 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4260 -> 5850 [arrowhead = none ];
5850 -> 4262;

5851 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
4261 -> 5851 [arrowhead = none ];
5851 -> 4272;

5852 [label="INSTANCE with matching:\nT1101 -> T1278\nT1109 -> T1284", fontsize=14, style = filled, fillcolor = lightgrey];
4262 -> 5852 [arrowhead = none , style=dashed];
5852 -> 3593[style=dashed];

5853 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4275 -> 5853 [arrowhead = none ];
5853 -> 4277;

5854 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4277 -> 5854 [arrowhead = none ];
5854 -> 4278;

5855 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4277 -> 5855 [arrowhead = none ];
5855 -> 4279;

5856 [label="EVAL with clause\np(0, 0).\nand substitutionT1296 -> 0,\nX4364 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4278 -> 5856 [arrowhead = none ];
5856 -> 4280;

5857 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4278 -> 5857 [arrowhead = none ];
5857 -> 4281;

5858 [label="EVAL with clause\np(s(X4415), X4415).\nand substitutionX4415 -> T1316,\nT1296 -> s(T1316),\nX4364 -> T1316", fontsize=14, style = filled, fillcolor = lightblue];
4279 -> 5858 [arrowhead = none ];
5858 -> 4327;

5859 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4279 -> 5859 [arrowhead = none ];
5859 -> 4328;

5860 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4280 -> 5860 [arrowhead = none ];
5860 -> 4290;

5861 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
4290 -> 5861 [arrowhead = none ];
5861 -> 4291;

5862 [label="ONLY EVAL with clause\nquot(X4383, 0, X4384, X4385) :- ','(!_300, ','(eq(X4384, s(X4386)), ','(p(X4385, X4387), quot(X4383, X4384, X4384, X4387)))).\nand substitutionT1295 -> T1303,\nX4383 -> T1303,\nT1297 -> T1304,\nX4384 -> s(T1304),\nX4385 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4291 -> 5862 [arrowhead = none ];
5862 -> 4295;

5863 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
4295 -> 5863 [arrowhead = none ];
5863 -> 4296;

5864 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4296 -> 5864 [arrowhead = none ];
5864 -> 4301;

5865 [label="ONLY EVAL with clause\neq(X4398, X4398).\nand substitutionT1304 -> T1309,\nX4398 -> s(T1309),\nX4386 -> T1309", fontsize=14, style = filled, fillcolor = lightblue];
4301 -> 5865 [arrowhead = none ];
5865 -> 4307;

5866 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4307 -> 5866 [arrowhead = none ];
5866 -> 4311;

5867 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4311 -> 5867 [arrowhead = none ];
5867 -> 4317;

5868 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4311 -> 5868 [arrowhead = none ];
5868 -> 4318;

5869 [label="ONLY EVAL with clause\np(0, 0).\nand substitutionX4387 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4317 -> 5869 [arrowhead = none ];
5869 -> 4319;

5870 [label="BACKTRACK\nfor clause: p(s(X), X)because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
4318 -> 5870 [arrowhead = none ];
5870 -> 4326;

5871 [label="INSTANCE with matching:\nT1101 -> T1303\nT1109 -> T1309", fontsize=14, style = filled, fillcolor = lightgrey];
4319 -> 5871 [arrowhead = none , style=dashed];
5871 -> 3593[style=dashed];

5872 [label="INSTANCE with matching:\nT1254 -> T1295\nT1259 -> T1316\nT1261 -> T1297", fontsize=14, style = filled, fillcolor = lightgrey];
4327 -> 5872 [arrowhead = none , style=dashed];
5872 -> 4208[style=dashed];

5873 [label="INSTANCE with matching:\nT7 -> T1101\nT8 -> s(T1109)\nT10 -> T1322", fontsize=14, style = filled, fillcolor = lightgrey];
4335 -> 5873 [arrowhead = none , style=dashed];
5873 -> 10[style=dashed];

5874 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4339 -> 5874 [arrowhead = none ];
5874 -> 4341;

5875 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4341 -> 5875 [arrowhead = none ];
5875 -> 4343;

5876 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4341 -> 5876 [arrowhead = none ];
5876 -> 4344;

5877 [label="EVAL with clause\np(0, 0).\nand substitutionT1334 -> 0,\nX4438 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4343 -> 5877 [arrowhead = none ];
5877 -> 4346;

5878 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4343 -> 5878 [arrowhead = none ];
5878 -> 4347;

5879 [label="EVAL with clause\np(s(X4488), X4488).\nand substitutionX4488 -> T1366,\nT1334 -> s(T1366),\nX4438 -> T1366", fontsize=14, style = filled, fillcolor = lightblue];
4344 -> 5879 [arrowhead = none ];
5879 -> 4379;

5880 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4344 -> 5880 [arrowhead = none ];
5880 -> 4380;

5881 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4346 -> 5881 [arrowhead = none ];
5881 -> 4353;

5882 [label="BACKTRACK\nfor clause: quot(0, s(Y), s(Z), R) :- ','(!, eq(R, 0))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
4353 -> 5882 [arrowhead = none ];
5882 -> 4354;

5883 [label="ONLY EVAL with clause\nquot(X4457, 0, X4458, X4459) :- ','(!_304, ','(eq(X4458, s(X4460)), ','(p(X4459, X4461), quot(X4457, X4458, X4458, X4461)))).\nand substitutionT1333 -> T1347,\nX4457 -> T1347,\nT1335 -> T1348,\nX4458 -> s(T1348),\nT1337 -> T1350,\nX4459 -> T1350,\nT1349 -> T1350", fontsize=14, style = filled, fillcolor = lightblue];
4354 -> 5883 [arrowhead = none ];
5883 -> 4357;

5884 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
4357 -> 5884 [arrowhead = none ];
5884 -> 4358;

5885 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4358 -> 5885 [arrowhead = none ];
5885 -> 4361;

5886 [label="ONLY EVAL with clause\neq(X4472, X4472).\nand substitutionT1348 -> T1355,\nX4472 -> s(T1355),\nX4460 -> T1355", fontsize=14, style = filled, fillcolor = lightblue];
4361 -> 5886 [arrowhead = none ];
5886 -> 4363;

5887 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
4363 -> 5887 [arrowhead = none ];
5887 -> 4365;

5888 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4365 -> 5888 [arrowhead = none ];
5888 -> 4366;

5889 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
4365 -> 5889 [arrowhead = none ];
5889 -> 4367;

5890 [label="EVAL with clause\np(0, 0).\nand substitutionT1350 -> 0,\nX4461 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
4366 -> 5890 [arrowhead = none ];
5890 -> 4368;

5891 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4366 -> 5891 [arrowhead = none ];
5891 -> 4369;

5892 [label="EVAL with clause\np(s(X4482), X4482).\nand substitutionX4482 -> T1361,\nT1350 -> s(T1361),\nX4461 -> T1361,\nT1360 -> T1361", fontsize=14, style = filled, fillcolor = lightblue];
4367 -> 5892 [arrowhead = none ];
5892 -> 4374;

5893 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
4367 -> 5893 [arrowhead = none ];
5893 -> 4375;

5894 [label="INSTANCE with matching:\nT1101 -> T1347\nT1109 -> T1355", fontsize=14, style = filled, fillcolor = lightgrey];
4368 -> 5894 [arrowhead = none , style=dashed];
5894 -> 3593[style=dashed];

5895 [label="INSTANCE with matching:\nT7 -> T1347\nT8 -> s(T1355)\nT10 -> T1361", fontsize=14, style = filled, fillcolor = lightgrey];
4374 -> 5895 [arrowhead = none , style=dashed];
5895 -> 10[style=dashed];

5896 [label="INSTANCE with matching:\nT1061 -> T1333\nT1069 -> T1366\nT1072 -> T1335\nT1064 -> T1337", fontsize=14, style = filled, fillcolor = lightgrey];
4379 -> 5896 [arrowhead = none , style=dashed];
5896 -> 3553[style=dashed];

}

(2) Obligation:

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

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(3) DependencyPairsProof (EQUIVALENT transformation)

Using Dependency Pairs [AG00,LOPSTR] we result in the following initial DP problem:
Pi DP problem:
The TRS P consists of the following rules:

DIVA_IN_GGA(T7, T8, T10) → U1_GGA(T7, T8, T10, quotB_in_gga(T7, T8, T10))
DIVA_IN_GGA(T7, T8, T10) → QUOTB_IN_GGA(T7, T8, T10)
QUOTB_IN_GGA(s(T75), s(0), 0) → U60_GGA(T75, quotC_in_g(T75))
QUOTB_IN_GGA(s(T75), s(0), 0) → QUOTC_IN_G(T75)
QUOTC_IN_G(s(T81)) → U2_G(T81, quotD_in_g(T81))
QUOTC_IN_G(s(T81)) → QUOTD_IN_G(T81)
QUOTD_IN_G(T84) → U35_G(T84, quotC_in_g(T84))
QUOTD_IN_G(T84) → QUOTC_IN_G(T84)
QUOTB_IN_GGA(s(T75), s(0), s(T88)) → U61_GGA(T75, T88, quotE_in_ga(T75, T88))
QUOTB_IN_GGA(s(T75), s(0), s(T88)) → QUOTE_IN_GA(T75, T88)
QUOTE_IN_GA(s(T102), T104) → U3_GA(T102, T104, quotF_in_ga(T102, T104))
QUOTE_IN_GA(s(T102), T104) → QUOTF_IN_GA(T102, T104)
QUOTF_IN_GA(T111, 0) → U4_GA(T111, quotC_in_g(T111))
QUOTF_IN_GA(T111, 0) → QUOTC_IN_G(T111)
QUOTF_IN_GA(T111, s(T117)) → U5_GA(T111, T117, quotE_in_ga(T111, T117))
QUOTF_IN_GA(T111, s(T117)) → QUOTE_IN_GA(T111, T117)
QUOTB_IN_GGA(s(s(T125)), s(0), T128) → U62_GGA(T125, T128, quotF_in_ga(T125, T128))
QUOTB_IN_GGA(s(s(T125)), s(0), T128) → QUOTF_IN_GA(T125, T128)
QUOTB_IN_GGA(s(s(T154)), s(s(0)), 0) → U63_GGA(T154, quotG_in_g(T154))
QUOTB_IN_GGA(s(s(T154)), s(s(0)), 0) → QUOTG_IN_G(T154)
QUOTG_IN_G(s(s(T164))) → U6_G(T164, quotH_in_g(T164))
QUOTG_IN_G(s(s(T164))) → QUOTH_IN_G(T164)
QUOTH_IN_G(T167) → U36_G(T167, quotG_in_g(T167))
QUOTH_IN_G(T167) → QUOTG_IN_G(T167)
QUOTB_IN_GGA(s(s(T154)), s(s(0)), s(T171)) → U64_GGA(T154, T171, quotI_in_ga(T154, T171))
QUOTB_IN_GGA(s(s(T154)), s(s(0)), s(T171)) → QUOTI_IN_GA(T154, T171)
QUOTI_IN_GA(s(s(T203)), T205) → U7_GA(T203, T205, quotJ_in_ga(T203, T205))
QUOTI_IN_GA(s(s(T203)), T205) → QUOTJ_IN_GA(T203, T205)
QUOTJ_IN_GA(T212, 0) → U8_GA(T212, quotG_in_g(T212))
QUOTJ_IN_GA(T212, 0) → QUOTG_IN_G(T212)
QUOTJ_IN_GA(T212, s(T218)) → U9_GA(T212, T218, quotI_in_ga(T212, T218))
QUOTJ_IN_GA(T212, s(T218)) → QUOTI_IN_GA(T212, T218)
QUOTB_IN_GGA(s(s(s(T226))), s(s(0)), T229) → U65_GGA(T226, T229, quotJ_in_ga(T226, T229))
QUOTB_IN_GGA(s(s(s(T226))), s(s(0)), T229) → QUOTJ_IN_GA(T226, T229)
QUOTB_IN_GGA(s(s(s(T255))), s(s(s(0))), 0) → U66_GGA(T255, quotK_in_g(T255))
QUOTB_IN_GGA(s(s(s(T255))), s(s(s(0))), 0) → QUOTK_IN_G(T255)
QUOTK_IN_G(s(s(s(T269)))) → U10_G(T269, quotL_in_g(T269))
QUOTK_IN_G(s(s(s(T269)))) → QUOTL_IN_G(T269)
QUOTL_IN_G(T272) → U37_G(T272, quotK_in_g(T272))
QUOTL_IN_G(T272) → QUOTK_IN_G(T272)
QUOTB_IN_GGA(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_GGA(T255, T276, quotM_in_ga(T255, T276))
QUOTB_IN_GGA(s(s(s(T255))), s(s(s(0))), s(T276)) → QUOTM_IN_GA(T255, T276)
QUOTM_IN_GA(s(s(s(T326))), T328) → U11_GA(T326, T328, quotN_in_ga(T326, T328))
QUOTM_IN_GA(s(s(s(T326))), T328) → QUOTN_IN_GA(T326, T328)
QUOTN_IN_GA(T335, 0) → U12_GA(T335, quotK_in_g(T335))
QUOTN_IN_GA(T335, 0) → QUOTK_IN_G(T335)
QUOTN_IN_GA(T335, s(T341)) → U13_GA(T335, T341, quotM_in_ga(T335, T341))
QUOTN_IN_GA(T335, s(T341)) → QUOTM_IN_GA(T335, T341)
QUOTB_IN_GGA(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_GGA(T349, T352, quotN_in_ga(T349, T352))
QUOTB_IN_GGA(s(s(s(s(T349)))), s(s(s(0))), T352) → QUOTN_IN_GA(T349, T352)
QUOTB_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_GGA(T378, quotO_in_g(T378))
QUOTB_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → QUOTO_IN_G(T378)
QUOTO_IN_G(s(s(s(s(T396))))) → U14_G(T396, quotP_in_g(T396))
QUOTO_IN_G(s(s(s(s(T396))))) → QUOTP_IN_G(T396)
QUOTP_IN_G(T399) → U38_G(T399, quotO_in_g(T399))
QUOTP_IN_G(T399) → QUOTO_IN_G(T399)
QUOTB_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_GGA(T378, T403, quotQ_in_ga(T378, T403))
QUOTB_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → QUOTQ_IN_GA(T378, T403)
QUOTQ_IN_GA(s(s(s(s(T471)))), T473) → U15_GA(T471, T473, quotR_in_ga(T471, T473))
QUOTQ_IN_GA(s(s(s(s(T471)))), T473) → QUOTR_IN_GA(T471, T473)
QUOTR_IN_GA(T480, 0) → U16_GA(T480, quotO_in_g(T480))
QUOTR_IN_GA(T480, 0) → QUOTO_IN_G(T480)
QUOTR_IN_GA(T480, s(T486)) → U17_GA(T480, T486, quotQ_in_ga(T480, T486))
QUOTR_IN_GA(T480, s(T486)) → QUOTQ_IN_GA(T480, T486)
QUOTB_IN_GGA(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_GGA(T494, T497, quotR_in_ga(T494, T497))
QUOTB_IN_GGA(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → QUOTR_IN_GA(T494, T497)
QUOTB_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_GGA(T523, quotS_in_g(T523))
QUOTB_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → QUOTS_IN_G(T523)
QUOTS_IN_G(s(s(s(s(s(T545)))))) → U18_G(T545, quotT_in_g(T545))
QUOTS_IN_G(s(s(s(s(s(T545)))))) → QUOTT_IN_G(T545)
QUOTT_IN_G(T548) → U39_G(T548, quotS_in_g(T548))
QUOTT_IN_G(T548) → QUOTS_IN_G(T548)
QUOTB_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_GGA(T523, T552, quotU_in_ga(T523, T552))
QUOTB_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → QUOTU_IN_GA(T523, T552)
QUOTU_IN_GA(s(s(s(s(s(T638))))), T640) → U19_GA(T638, T640, quotV_in_ga(T638, T640))
QUOTU_IN_GA(s(s(s(s(s(T638))))), T640) → QUOTV_IN_GA(T638, T640)
QUOTV_IN_GA(T647, 0) → U20_GA(T647, quotS_in_g(T647))
QUOTV_IN_GA(T647, 0) → QUOTS_IN_G(T647)
QUOTV_IN_GA(T647, s(T653)) → U21_GA(T647, T653, quotU_in_ga(T647, T653))
QUOTV_IN_GA(T647, s(T653)) → QUOTU_IN_GA(T647, T653)
QUOTB_IN_GGA(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_GGA(T661, T664, quotV_in_ga(T661, T664))
QUOTB_IN_GGA(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → QUOTV_IN_GA(T661, T664)
QUOTB_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_GGA(T690, quotW_in_g(T690))
QUOTB_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → QUOTW_IN_G(T690)
QUOTW_IN_G(s(s(s(s(s(s(T716))))))) → U22_G(T716, quotX_in_g(T716))
QUOTW_IN_G(s(s(s(s(s(s(T716))))))) → QUOTX_IN_G(T716)
QUOTX_IN_G(T719) → U40_G(T719, quotW_in_g(T719))
QUOTX_IN_G(T719) → QUOTW_IN_G(T719)
QUOTB_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_GGA(T690, T723, quotY_in_ga(T690, T723))
QUOTB_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → QUOTY_IN_GA(T690, T723)
QUOTY_IN_GA(s(s(s(s(s(s(T827)))))), T829) → U23_GA(T827, T829, quotZ_in_ga(T827, T829))
QUOTY_IN_GA(s(s(s(s(s(s(T827)))))), T829) → QUOTZ_IN_GA(T827, T829)
QUOTZ_IN_GA(T836, 0) → U24_GA(T836, quotW_in_g(T836))
QUOTZ_IN_GA(T836, 0) → QUOTW_IN_G(T836)
QUOTZ_IN_GA(T836, s(T842)) → U25_GA(T836, T842, quotY_in_ga(T836, T842))
QUOTZ_IN_GA(T836, s(T842)) → QUOTY_IN_GA(T836, T842)
QUOTB_IN_GGA(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_GGA(T850, T853, quotZ_in_ga(T850, T853))
QUOTB_IN_GGA(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → QUOTZ_IN_GA(T850, T853)
QUOTB_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_GGA(T879, quotN1_in_g(T879))
QUOTB_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOTN1_IN_G(T879)
QUOTN1_IN_G(s(s(s(s(s(s(s(T909)))))))) → U26_G(T909, quotN2_in_g(T909))
QUOTN1_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTN2_IN_G(T909)
QUOTN2_IN_G(T912) → U41_G(T912, quotN1_in_g(T912))
QUOTN2_IN_G(T912) → QUOTN1_IN_G(T912)
QUOTB_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_GGA(T879, T916, quotN3_in_ga(T879, T916))
QUOTB_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → QUOTN3_IN_GA(T879, T916)
QUOTN3_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_GA(T1038, T1040, quotN4_in_ga(T1038, T1040))
QUOTN3_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → QUOTN4_IN_GA(T1038, T1040)
QUOTN4_IN_GA(T1047, 0) → U28_GA(T1047, quotN1_in_g(T1047))
QUOTN4_IN_GA(T1047, 0) → QUOTN1_IN_G(T1047)
QUOTN4_IN_GA(T1047, s(T1053)) → U29_GA(T1047, T1053, quotN3_in_ga(T1047, T1053))
QUOTN4_IN_GA(T1047, s(T1053)) → QUOTN3_IN_GA(T1047, T1053)
QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_GGA(T1061, T1064, quotN4_in_ga(T1061, T1064))
QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → QUOTN4_IN_GA(T1061, T1064)
QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_GGA(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → QUOTN5_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)
QUOTN5_IN_GGGA(T1101, 0, T1109, 0) → U30_GGGA(T1101, T1109, quotN6_in_gg(T1101, T1109))
QUOTN5_IN_GGGA(T1101, 0, T1109, 0) → QUOTN6_IN_GG(T1101, T1109)
QUOTN6_IN_GG(s(T1135), 0) → U45_GG(T1135, quotC_in_g(T1135))
QUOTN6_IN_GG(s(T1135), 0) → QUOTC_IN_G(T1135)
QUOTN6_IN_GG(s(s(T1140)), 0) → U46_GG(T1140, quotD_in_g(T1140))
QUOTN6_IN_GG(s(s(T1140)), 0) → QUOTD_IN_G(T1140)
QUOTN6_IN_GG(s(s(T1154)), s(0)) → U47_GG(T1154, quotG_in_g(T1154))
QUOTN6_IN_GG(s(s(T1154)), s(0)) → QUOTG_IN_G(T1154)
QUOTN6_IN_GG(s(s(s(T1159))), s(0)) → U48_GG(T1159, quotH_in_g(T1159))
QUOTN6_IN_GG(s(s(s(T1159))), s(0)) → QUOTH_IN_G(T1159)
QUOTN6_IN_GG(s(s(s(T1173))), s(s(0))) → U49_GG(T1173, quotK_in_g(T1173))
QUOTN6_IN_GG(s(s(s(T1173))), s(s(0))) → QUOTK_IN_G(T1173)
QUOTN6_IN_GG(s(s(s(s(T1178)))), s(s(0))) → U50_GG(T1178, quotL_in_g(T1178))
QUOTN6_IN_GG(s(s(s(s(T1178)))), s(s(0))) → QUOTL_IN_G(T1178)
QUOTN6_IN_GG(s(s(s(s(T1192)))), s(s(s(0)))) → U51_GG(T1192, quotO_in_g(T1192))
QUOTN6_IN_GG(s(s(s(s(T1192)))), s(s(s(0)))) → QUOTO_IN_G(T1192)
QUOTN6_IN_GG(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_GG(T1197, quotP_in_g(T1197))
QUOTN6_IN_GG(s(s(s(s(s(T1197))))), s(s(s(0)))) → QUOTP_IN_G(T1197)
QUOTN6_IN_GG(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_GG(T1211, quotS_in_g(T1211))
QUOTN6_IN_GG(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → QUOTS_IN_G(T1211)
QUOTN6_IN_GG(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_GG(T1216, quotT_in_g(T1216))
QUOTN6_IN_GG(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → QUOTT_IN_G(T1216)
QUOTN6_IN_GG(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_GG(T1230, quotW_in_g(T1230))
QUOTN6_IN_GG(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → QUOTW_IN_G(T1230)
QUOTN6_IN_GG(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_GG(T1235, quotX_in_g(T1235))
QUOTN6_IN_GG(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → QUOTX_IN_G(T1235)
QUOTN6_IN_GG(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_GG(T1249, quotN1_in_g(T1249))
QUOTN6_IN_GG(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → QUOTN1_IN_G(T1249)
QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_GG(T1254, quotN2_in_g(T1254))
QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → QUOTN2_IN_G(T1254)
QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_GG(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN7_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
QUOTN7_IN_GGG(T1278, 0, T1284) → U42_GGG(T1278, T1284, quotN6_in_gg(T1278, T1284))
QUOTN7_IN_GGG(T1278, 0, T1284) → QUOTN6_IN_GG(T1278, T1284)
QUOTN7_IN_GGG(s(T1303), 0, T1309) → U43_GGG(T1303, T1309, quotN6_in_gg(T1303, T1309))
QUOTN7_IN_GGG(s(T1303), 0, T1309) → QUOTN6_IN_GG(T1303, T1309)
QUOTN7_IN_GGG(s(T1295), s(T1316), T1297) → U44_GGG(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
QUOTN7_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN7_IN_GGG(T1295, T1316, T1297)
QUOTN5_IN_GGGA(T1101, 0, T1109, s(T1322)) → U31_GGGA(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
QUOTN5_IN_GGGA(T1101, 0, T1109, s(T1322)) → QUOTB_IN_GGA(T1101, s(T1109), T1322)
QUOTN5_IN_GGGA(s(T1347), 0, T1355, 0) → U32_GGGA(T1347, T1355, quotN6_in_gg(T1347, T1355))
QUOTN5_IN_GGGA(s(T1347), 0, T1355, 0) → QUOTN6_IN_GG(T1347, T1355)
QUOTN5_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → U33_GGGA(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
QUOTN5_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → QUOTB_IN_GGA(T1347, s(T1355), T1361)
QUOTN5_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → U34_GGGA(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
QUOTN5_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → QUOTN5_IN_GGGA(T1333, T1366, T1335, T1337)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

The argument filtering Pi contains the following mapping:
divA_in_gga(x1, x2, x3) = divA_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4) = U1_gga(x1, x2, x4)
quotB_in_gga(x1, x2, x3) = quotB_in_gga(x1, x2)
0 = 0
s(x1) = s(x1)
quotB_out_gga(x1, x2, x3) = quotB_out_gga(x1, x2, x3)
U60_gga(x1, x2) = U60_gga(x1, x2)
quotC_in_g(x1) = quotC_in_g(x1)
quotC_out_g(x1) = quotC_out_g(x1)
U2_g(x1, x2) = U2_g(x1, x2)
quotD_in_g(x1) = quotD_in_g(x1)
U35_g(x1, x2) = U35_g(x1, x2)
quotD_out_g(x1) = quotD_out_g(x1)
U61_gga(x1, x2, x3) = U61_gga(x1, x3)
quotE_in_ga(x1, x2) = quotE_in_ga(x1)
quotE_out_ga(x1, x2) = quotE_out_ga(x1, x2)
U3_ga(x1, x2, x3) = U3_ga(x1, x3)
quotF_in_ga(x1, x2) = quotF_in_ga(x1)
U4_ga(x1, x2) = U4_ga(x1, x2)
quotF_out_ga(x1, x2) = quotF_out_ga(x1, x2)
U5_ga(x1, x2, x3) = U5_ga(x1, x3)
U62_gga(x1, x2, x3) = U62_gga(x1, x3)
U63_gga(x1, x2) = U63_gga(x1, x2)
quotG_in_g(x1) = quotG_in_g(x1)
quotG_out_g(x1) = quotG_out_g(x1)
U6_g(x1, x2) = U6_g(x1, x2)
quotH_in_g(x1) = quotH_in_g(x1)
U36_g(x1, x2) = U36_g(x1, x2)
quotH_out_g(x1) = quotH_out_g(x1)
U64_gga(x1, x2, x3) = U64_gga(x1, x3)
quotI_in_ga(x1, x2) = quotI_in_ga(x1)
quotI_out_ga(x1, x2) = quotI_out_ga(x1, x2)
U7_ga(x1, x2, x3) = U7_ga(x1, x3)
quotJ_in_ga(x1, x2) = quotJ_in_ga(x1)
U8_ga(x1, x2) = U8_ga(x1, x2)
quotJ_out_ga(x1, x2) = quotJ_out_ga(x1, x2)
U9_ga(x1, x2, x3) = U9_ga(x1, x3)
U65_gga(x1, x2, x3) = U65_gga(x1, x3)
U66_gga(x1, x2) = U66_gga(x1, x2)
quotK_in_g(x1) = quotK_in_g(x1)
quotK_out_g(x1) = quotK_out_g(x1)
U10_g(x1, x2) = U10_g(x1, x2)
quotL_in_g(x1) = quotL_in_g(x1)
U37_g(x1, x2) = U37_g(x1, x2)
quotL_out_g(x1) = quotL_out_g(x1)
U67_gga(x1, x2, x3) = U67_gga(x1, x3)
quotM_in_ga(x1, x2) = quotM_in_ga(x1)
quotM_out_ga(x1, x2) = quotM_out_ga(x1, x2)
U11_ga(x1, x2, x3) = U11_ga(x1, x3)
quotN_in_ga(x1, x2) = quotN_in_ga(x1)
U12_ga(x1, x2) = U12_ga(x1, x2)
quotN_out_ga(x1, x2) = quotN_out_ga(x1, x2)
U13_ga(x1, x2, x3) = U13_ga(x1, x3)
U68_gga(x1, x2, x3) = U68_gga(x1, x3)
U69_gga(x1, x2) = U69_gga(x1, x2)
quotO_in_g(x1) = quotO_in_g(x1)
quotO_out_g(x1) = quotO_out_g(x1)
U14_g(x1, x2) = U14_g(x1, x2)
quotP_in_g(x1) = quotP_in_g(x1)
U38_g(x1, x2) = U38_g(x1, x2)
quotP_out_g(x1) = quotP_out_g(x1)
U70_gga(x1, x2, x3) = U70_gga(x1, x3)
quotQ_in_ga(x1, x2) = quotQ_in_ga(x1)
quotQ_out_ga(x1, x2) = quotQ_out_ga(x1, x2)
U15_ga(x1, x2, x3) = U15_ga(x1, x3)
quotR_in_ga(x1, x2) = quotR_in_ga(x1)
U16_ga(x1, x2) = U16_ga(x1, x2)
quotR_out_ga(x1, x2) = quotR_out_ga(x1, x2)
U17_ga(x1, x2, x3) = U17_ga(x1, x3)
U71_gga(x1, x2, x3) = U71_gga(x1, x3)
U72_gga(x1, x2) = U72_gga(x1, x2)
quotS_in_g(x1) = quotS_in_g(x1)
quotS_out_g(x1) = quotS_out_g(x1)
U18_g(x1, x2) = U18_g(x1, x2)
quotT_in_g(x1) = quotT_in_g(x1)
U39_g(x1, x2) = U39_g(x1, x2)
quotT_out_g(x1) = quotT_out_g(x1)
U73_gga(x1, x2, x3) = U73_gga(x1, x3)
quotU_in_ga(x1, x2) = quotU_in_ga(x1)
quotU_out_ga(x1, x2) = quotU_out_ga(x1, x2)
U19_ga(x1, x2, x3) = U19_ga(x1, x3)
quotV_in_ga(x1, x2) = quotV_in_ga(x1)
U20_ga(x1, x2) = U20_ga(x1, x2)
quotV_out_ga(x1, x2) = quotV_out_ga(x1, x2)
U21_ga(x1, x2, x3) = U21_ga(x1, x3)
U74_gga(x1, x2, x3) = U74_gga(x1, x3)
U75_gga(x1, x2) = U75_gga(x1, x2)
quotW_in_g(x1) = quotW_in_g(x1)
quotW_out_g(x1) = quotW_out_g(x1)
U22_g(x1, x2) = U22_g(x1, x2)
quotX_in_g(x1) = quotX_in_g(x1)
U40_g(x1, x2) = U40_g(x1, x2)
quotX_out_g(x1) = quotX_out_g(x1)
U76_gga(x1, x2, x3) = U76_gga(x1, x3)
quotY_in_ga(x1, x2) = quotY_in_ga(x1)
quotY_out_ga(x1, x2) = quotY_out_ga(x1, x2)
U23_ga(x1, x2, x3) = U23_ga(x1, x3)
quotZ_in_ga(x1, x2) = quotZ_in_ga(x1)
U24_ga(x1, x2) = U24_ga(x1, x2)
quotZ_out_ga(x1, x2) = quotZ_out_ga(x1, x2)
U25_ga(x1, x2, x3) = U25_ga(x1, x3)
U77_gga(x1, x2, x3) = U77_gga(x1, x3)
U78_gga(x1, x2) = U78_gga(x1, x2)
quotN1_in_g(x1) = quotN1_in_g(x1)
quotN1_out_g(x1) = quotN1_out_g(x1)
U26_g(x1, x2) = U26_g(x1, x2)
quotN2_in_g(x1) = quotN2_in_g(x1)
U41_g(x1, x2) = U41_g(x1, x2)
quotN2_out_g(x1) = quotN2_out_g(x1)
U79_gga(x1, x2, x3) = U79_gga(x1, x3)
quotN3_in_ga(x1, x2) = quotN3_in_ga(x1)
quotN3_out_ga(x1, x2) = quotN3_out_ga(x1, x2)
U27_ga(x1, x2, x3) = U27_ga(x1, x3)
quotN4_in_ga(x1, x2) = quotN4_in_ga(x1)
U28_ga(x1, x2) = U28_ga(x1, x2)
quotN4_out_ga(x1, x2) = quotN4_out_ga(x1, x2)
U29_ga(x1, x2, x3) = U29_ga(x1, x3)
U80_gga(x1, x2, x3) = U80_gga(x1, x3)
U81_gga(x1, x2, x3, x4) = U81_gga(x1, x2, x4)
quotN5_in_ggga(x1, x2, x3, x4) = quotN5_in_ggga(x1, x2, x3)
quotN5_out_ggga(x1, x2, x3, x4) = quotN5_out_ggga(x1, x2, x3, x4)
U30_ggga(x1, x2, x3) = U30_ggga(x1, x2, x3)
quotN6_in_gg(x1, x2) = quotN6_in_gg(x1, x2)
quotN6_out_gg(x1, x2) = quotN6_out_gg(x1, x2)
U45_gg(x1, x2) = U45_gg(x1, x2)
U46_gg(x1, x2) = U46_gg(x1, x2)
U47_gg(x1, x2) = U47_gg(x1, x2)
U48_gg(x1, x2) = U48_gg(x1, x2)
U49_gg(x1, x2) = U49_gg(x1, x2)
U50_gg(x1, x2) = U50_gg(x1, x2)
U51_gg(x1, x2) = U51_gg(x1, x2)
U52_gg(x1, x2) = U52_gg(x1, x2)
U53_gg(x1, x2) = U53_gg(x1, x2)
U54_gg(x1, x2) = U54_gg(x1, x2)
U55_gg(x1, x2) = U55_gg(x1, x2)
U56_gg(x1, x2) = U56_gg(x1, x2)
U57_gg(x1, x2) = U57_gg(x1, x2)
U58_gg(x1, x2) = U58_gg(x1, x2)
U59_gg(x1, x2, x3) = U59_gg(x1, x2, x3)
quotN7_in_ggg(x1, x2, x3) = quotN7_in_ggg(x1, x2, x3)
quotN7_out_ggg(x1, x2, x3) = quotN7_out_ggg(x1, x2, x3)
U42_ggg(x1, x2, x3) = U42_ggg(x1, x2, x3)
U43_ggg(x1, x2, x3) = U43_ggg(x1, x2, x3)
U44_ggg(x1, x2, x3, x4) = U44_ggg(x1, x2, x3, x4)
U31_ggga(x1, x2, x3, x4) = U31_ggga(x1, x2, x4)
U32_ggga(x1, x2, x3) = U32_ggga(x1, x2, x3)
U33_ggga(x1, x2, x3, x4) = U33_ggga(x1, x2, x4)
U34_ggga(x1, x2, x3, x4, x5) = U34_ggga(x1, x2, x3, x5)
divA_out_gga(x1, x2, x3) = divA_out_gga(x1, x2, x3)
DIVA_IN_GGA(x1, x2, x3) = DIVA_IN_GGA(x1, x2)
U1_GGA(x1, x2, x3, x4) = U1_GGA(x1, x2, x4)
QUOTB_IN_GGA(x1, x2, x3) = QUOTB_IN_GGA(x1, x2)
U60_GGA(x1, x2) = U60_GGA(x1, x2)
QUOTC_IN_G(x1) = QUOTC_IN_G(x1)
U2_G(x1, x2) = U2_G(x1, x2)
QUOTD_IN_G(x1) = QUOTD_IN_G(x1)
U35_G(x1, x2) = U35_G(x1, x2)
U61_GGA(x1, x2, x3) = U61_GGA(x1, x3)
QUOTE_IN_GA(x1, x2) = QUOTE_IN_GA(x1)
U3_GA(x1, x2, x3) = U3_GA(x1, x3)
QUOTF_IN_GA(x1, x2) = QUOTF_IN_GA(x1)
U4_GA(x1, x2) = U4_GA(x1, x2)
U5_GA(x1, x2, x3) = U5_GA(x1, x3)
U62_GGA(x1, x2, x3) = U62_GGA(x1, x3)
U63_GGA(x1, x2) = U63_GGA(x1, x2)
QUOTG_IN_G(x1) = QUOTG_IN_G(x1)
U6_G(x1, x2) = U6_G(x1, x2)
QUOTH_IN_G(x1) = QUOTH_IN_G(x1)
U36_G(x1, x2) = U36_G(x1, x2)
U64_GGA(x1, x2, x3) = U64_GGA(x1, x3)
QUOTI_IN_GA(x1, x2) = QUOTI_IN_GA(x1)
U7_GA(x1, x2, x3) = U7_GA(x1, x3)
QUOTJ_IN_GA(x1, x2) = QUOTJ_IN_GA(x1)
U8_GA(x1, x2) = U8_GA(x1, x2)
U9_GA(x1, x2, x3) = U9_GA(x1, x3)
U65_GGA(x1, x2, x3) = U65_GGA(x1, x3)
U66_GGA(x1, x2) = U66_GGA(x1, x2)
QUOTK_IN_G(x1) = QUOTK_IN_G(x1)
U10_G(x1, x2) = U10_G(x1, x2)
QUOTL_IN_G(x1) = QUOTL_IN_G(x1)
U37_G(x1, x2) = U37_G(x1, x2)
U67_GGA(x1, x2, x3) = U67_GGA(x1, x3)
QUOTM_IN_GA(x1, x2) = QUOTM_IN_GA(x1)
U11_GA(x1, x2, x3) = U11_GA(x1, x3)
QUOTN_IN_GA(x1, x2) = QUOTN_IN_GA(x1)
U12_GA(x1, x2) = U12_GA(x1, x2)
U13_GA(x1, x2, x3) = U13_GA(x1, x3)
U68_GGA(x1, x2, x3) = U68_GGA(x1, x3)
U69_GGA(x1, x2) = U69_GGA(x1, x2)
QUOTO_IN_G(x1) = QUOTO_IN_G(x1)
U14_G(x1, x2) = U14_G(x1, x2)
QUOTP_IN_G(x1) = QUOTP_IN_G(x1)
U38_G(x1, x2) = U38_G(x1, x2)
U70_GGA(x1, x2, x3) = U70_GGA(x1, x3)
QUOTQ_IN_GA(x1, x2) = QUOTQ_IN_GA(x1)
U15_GA(x1, x2, x3) = U15_GA(x1, x3)
QUOTR_IN_GA(x1, x2) = QUOTR_IN_GA(x1)
U16_GA(x1, x2) = U16_GA(x1, x2)
U17_GA(x1, x2, x3) = U17_GA(x1, x3)
U71_GGA(x1, x2, x3) = U71_GGA(x1, x3)
U72_GGA(x1, x2) = U72_GGA(x1, x2)
QUOTS_IN_G(x1) = QUOTS_IN_G(x1)
U18_G(x1, x2) = U18_G(x1, x2)
QUOTT_IN_G(x1) = QUOTT_IN_G(x1)
U39_G(x1, x2) = U39_G(x1, x2)
U73_GGA(x1, x2, x3) = U73_GGA(x1, x3)
QUOTU_IN_GA(x1, x2) = QUOTU_IN_GA(x1)
U19_GA(x1, x2, x3) = U19_GA(x1, x3)
QUOTV_IN_GA(x1, x2) = QUOTV_IN_GA(x1)
U20_GA(x1, x2) = U20_GA(x1, x2)
U21_GA(x1, x2, x3) = U21_GA(x1, x3)
U74_GGA(x1, x2, x3) = U74_GGA(x1, x3)
U75_GGA(x1, x2) = U75_GGA(x1, x2)
QUOTW_IN_G(x1) = QUOTW_IN_G(x1)
U22_G(x1, x2) = U22_G(x1, x2)
QUOTX_IN_G(x1) = QUOTX_IN_G(x1)
U40_G(x1, x2) = U40_G(x1, x2)
U76_GGA(x1, x2, x3) = U76_GGA(x1, x3)
QUOTY_IN_GA(x1, x2) = QUOTY_IN_GA(x1)
U23_GA(x1, x2, x3) = U23_GA(x1, x3)
QUOTZ_IN_GA(x1, x2) = QUOTZ_IN_GA(x1)
U24_GA(x1, x2) = U24_GA(x1, x2)
U25_GA(x1, x2, x3) = U25_GA(x1, x3)
U77_GGA(x1, x2, x3) = U77_GGA(x1, x3)
U78_GGA(x1, x2) = U78_GGA(x1, x2)
QUOTN1_IN_G(x1) = QUOTN1_IN_G(x1)
U26_G(x1, x2) = U26_G(x1, x2)
QUOTN2_IN_G(x1) = QUOTN2_IN_G(x1)
U41_G(x1, x2) = U41_G(x1, x2)
U79_GGA(x1, x2, x3) = U79_GGA(x1, x3)
QUOTN3_IN_GA(x1, x2) = QUOTN3_IN_GA(x1)
U27_GA(x1, x2, x3) = U27_GA(x1, x3)
QUOTN4_IN_GA(x1, x2) = QUOTN4_IN_GA(x1)
U28_GA(x1, x2) = U28_GA(x1, x2)
U29_GA(x1, x2, x3) = U29_GA(x1, x3)
U80_GGA(x1, x2, x3) = U80_GGA(x1, x3)
U81_GGA(x1, x2, x3, x4) = U81_GGA(x1, x2, x4)
QUOTN5_IN_GGGA(x1, x2, x3, x4) = QUOTN5_IN_GGGA(x1, x2, x3)
U30_GGGA(x1, x2, x3) = U30_GGGA(x1, x2, x3)
QUOTN6_IN_GG(x1, x2) = QUOTN6_IN_GG(x1, x2)
U45_GG(x1, x2) = U45_GG(x1, x2)
U46_GG(x1, x2) = U46_GG(x1, x2)
U47_GG(x1, x2) = U47_GG(x1, x2)
U48_GG(x1, x2) = U48_GG(x1, x2)
U49_GG(x1, x2) = U49_GG(x1, x2)
U50_GG(x1, x2) = U50_GG(x1, x2)
U51_GG(x1, x2) = U51_GG(x1, x2)
U52_GG(x1, x2) = U52_GG(x1, x2)
U53_GG(x1, x2) = U53_GG(x1, x2)
U54_GG(x1, x2) = U54_GG(x1, x2)
U55_GG(x1, x2) = U55_GG(x1, x2)
U56_GG(x1, x2) = U56_GG(x1, x2)
U57_GG(x1, x2) = U57_GG(x1, x2)
U58_GG(x1, x2) = U58_GG(x1, x2)
U59_GG(x1, x2, x3) = U59_GG(x1, x2, x3)
QUOTN7_IN_GGG(x1, x2, x3) = QUOTN7_IN_GGG(x1, x2, x3)
U42_GGG(x1, x2, x3) = U42_GGG(x1, x2, x3)
U43_GGG(x1, x2, x3) = U43_GGG(x1, x2, x3)
U44_GGG(x1, x2, x3, x4) = U44_GGG(x1, x2, x3, x4)
U31_GGGA(x1, x2, x3, x4) = U31_GGGA(x1, x2, x4)
U32_GGGA(x1, x2, x3) = U32_GGGA(x1, x2, x3)
U33_GGGA(x1, x2, x3, x4) = U33_GGGA(x1, x2, x4)
U34_GGGA(x1, x2, x3, x4, x5) = U34_GGGA(x1, x2, x3, x5)

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

(4) Obligation:

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

DIVA_IN_GGA(T7, T8, T10) → U1_GGA(T7, T8, T10, quotB_in_gga(T7, T8, T10))
DIVA_IN_GGA(T7, T8, T10) → QUOTB_IN_GGA(T7, T8, T10)
QUOTB_IN_GGA(s(T75), s(0), 0) → U60_GGA(T75, quotC_in_g(T75))
QUOTB_IN_GGA(s(T75), s(0), 0) → QUOTC_IN_G(T75)
QUOTC_IN_G(s(T81)) → U2_G(T81, quotD_in_g(T81))
QUOTC_IN_G(s(T81)) → QUOTD_IN_G(T81)
QUOTD_IN_G(T84) → U35_G(T84, quotC_in_g(T84))
QUOTD_IN_G(T84) → QUOTC_IN_G(T84)
QUOTB_IN_GGA(s(T75), s(0), s(T88)) → U61_GGA(T75, T88, quotE_in_ga(T75, T88))
QUOTB_IN_GGA(s(T75), s(0), s(T88)) → QUOTE_IN_GA(T75, T88)
QUOTE_IN_GA(s(T102), T104) → U3_GA(T102, T104, quotF_in_ga(T102, T104))
QUOTE_IN_GA(s(T102), T104) → QUOTF_IN_GA(T102, T104)
QUOTF_IN_GA(T111, 0) → U4_GA(T111, quotC_in_g(T111))
QUOTF_IN_GA(T111, 0) → QUOTC_IN_G(T111)
QUOTF_IN_GA(T111, s(T117)) → U5_GA(T111, T117, quotE_in_ga(T111, T117))
QUOTF_IN_GA(T111, s(T117)) → QUOTE_IN_GA(T111, T117)
QUOTB_IN_GGA(s(s(T125)), s(0), T128) → U62_GGA(T125, T128, quotF_in_ga(T125, T128))
QUOTB_IN_GGA(s(s(T125)), s(0), T128) → QUOTF_IN_GA(T125, T128)
QUOTB_IN_GGA(s(s(T154)), s(s(0)), 0) → U63_GGA(T154, quotG_in_g(T154))
QUOTB_IN_GGA(s(s(T154)), s(s(0)), 0) → QUOTG_IN_G(T154)
QUOTG_IN_G(s(s(T164))) → U6_G(T164, quotH_in_g(T164))
QUOTG_IN_G(s(s(T164))) → QUOTH_IN_G(T164)
QUOTH_IN_G(T167) → U36_G(T167, quotG_in_g(T167))
QUOTH_IN_G(T167) → QUOTG_IN_G(T167)
QUOTB_IN_GGA(s(s(T154)), s(s(0)), s(T171)) → U64_GGA(T154, T171, quotI_in_ga(T154, T171))
QUOTB_IN_GGA(s(s(T154)), s(s(0)), s(T171)) → QUOTI_IN_GA(T154, T171)
QUOTI_IN_GA(s(s(T203)), T205) → U7_GA(T203, T205, quotJ_in_ga(T203, T205))
QUOTI_IN_GA(s(s(T203)), T205) → QUOTJ_IN_GA(T203, T205)
QUOTJ_IN_GA(T212, 0) → U8_GA(T212, quotG_in_g(T212))
QUOTJ_IN_GA(T212, 0) → QUOTG_IN_G(T212)
QUOTJ_IN_GA(T212, s(T218)) → U9_GA(T212, T218, quotI_in_ga(T212, T218))
QUOTJ_IN_GA(T212, s(T218)) → QUOTI_IN_GA(T212, T218)
QUOTB_IN_GGA(s(s(s(T226))), s(s(0)), T229) → U65_GGA(T226, T229, quotJ_in_ga(T226, T229))
QUOTB_IN_GGA(s(s(s(T226))), s(s(0)), T229) → QUOTJ_IN_GA(T226, T229)
QUOTB_IN_GGA(s(s(s(T255))), s(s(s(0))), 0) → U66_GGA(T255, quotK_in_g(T255))
QUOTB_IN_GGA(s(s(s(T255))), s(s(s(0))), 0) → QUOTK_IN_G(T255)
QUOTK_IN_G(s(s(s(T269)))) → U10_G(T269, quotL_in_g(T269))
QUOTK_IN_G(s(s(s(T269)))) → QUOTL_IN_G(T269)
QUOTL_IN_G(T272) → U37_G(T272, quotK_in_g(T272))
QUOTL_IN_G(T272) → QUOTK_IN_G(T272)
QUOTB_IN_GGA(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_GGA(T255, T276, quotM_in_ga(T255, T276))
QUOTB_IN_GGA(s(s(s(T255))), s(s(s(0))), s(T276)) → QUOTM_IN_GA(T255, T276)
QUOTM_IN_GA(s(s(s(T326))), T328) → U11_GA(T326, T328, quotN_in_ga(T326, T328))
QUOTM_IN_GA(s(s(s(T326))), T328) → QUOTN_IN_GA(T326, T328)
QUOTN_IN_GA(T335, 0) → U12_GA(T335, quotK_in_g(T335))
QUOTN_IN_GA(T335, 0) → QUOTK_IN_G(T335)
QUOTN_IN_GA(T335, s(T341)) → U13_GA(T335, T341, quotM_in_ga(T335, T341))
QUOTN_IN_GA(T335, s(T341)) → QUOTM_IN_GA(T335, T341)
QUOTB_IN_GGA(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_GGA(T349, T352, quotN_in_ga(T349, T352))
QUOTB_IN_GGA(s(s(s(s(T349)))), s(s(s(0))), T352) → QUOTN_IN_GA(T349, T352)
QUOTB_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_GGA(T378, quotO_in_g(T378))
QUOTB_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → QUOTO_IN_G(T378)
QUOTO_IN_G(s(s(s(s(T396))))) → U14_G(T396, quotP_in_g(T396))
QUOTO_IN_G(s(s(s(s(T396))))) → QUOTP_IN_G(T396)
QUOTP_IN_G(T399) → U38_G(T399, quotO_in_g(T399))
QUOTP_IN_G(T399) → QUOTO_IN_G(T399)
QUOTB_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_GGA(T378, T403, quotQ_in_ga(T378, T403))
QUOTB_IN_GGA(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → QUOTQ_IN_GA(T378, T403)
QUOTQ_IN_GA(s(s(s(s(T471)))), T473) → U15_GA(T471, T473, quotR_in_ga(T471, T473))
QUOTQ_IN_GA(s(s(s(s(T471)))), T473) → QUOTR_IN_GA(T471, T473)
QUOTR_IN_GA(T480, 0) → U16_GA(T480, quotO_in_g(T480))
QUOTR_IN_GA(T480, 0) → QUOTO_IN_G(T480)
QUOTR_IN_GA(T480, s(T486)) → U17_GA(T480, T486, quotQ_in_ga(T480, T486))
QUOTR_IN_GA(T480, s(T486)) → QUOTQ_IN_GA(T480, T486)
QUOTB_IN_GGA(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_GGA(T494, T497, quotR_in_ga(T494, T497))
QUOTB_IN_GGA(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → QUOTR_IN_GA(T494, T497)
QUOTB_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_GGA(T523, quotS_in_g(T523))
QUOTB_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → QUOTS_IN_G(T523)
QUOTS_IN_G(s(s(s(s(s(T545)))))) → U18_G(T545, quotT_in_g(T545))
QUOTS_IN_G(s(s(s(s(s(T545)))))) → QUOTT_IN_G(T545)
QUOTT_IN_G(T548) → U39_G(T548, quotS_in_g(T548))
QUOTT_IN_G(T548) → QUOTS_IN_G(T548)
QUOTB_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_GGA(T523, T552, quotU_in_ga(T523, T552))
QUOTB_IN_GGA(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → QUOTU_IN_GA(T523, T552)
QUOTU_IN_GA(s(s(s(s(s(T638))))), T640) → U19_GA(T638, T640, quotV_in_ga(T638, T640))
QUOTU_IN_GA(s(s(s(s(s(T638))))), T640) → QUOTV_IN_GA(T638, T640)
QUOTV_IN_GA(T647, 0) → U20_GA(T647, quotS_in_g(T647))
QUOTV_IN_GA(T647, 0) → QUOTS_IN_G(T647)
QUOTV_IN_GA(T647, s(T653)) → U21_GA(T647, T653, quotU_in_ga(T647, T653))
QUOTV_IN_GA(T647, s(T653)) → QUOTU_IN_GA(T647, T653)
QUOTB_IN_GGA(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_GGA(T661, T664, quotV_in_ga(T661, T664))
QUOTB_IN_GGA(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → QUOTV_IN_GA(T661, T664)
QUOTB_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_GGA(T690, quotW_in_g(T690))
QUOTB_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → QUOTW_IN_G(T690)
QUOTW_IN_G(s(s(s(s(s(s(T716))))))) → U22_G(T716, quotX_in_g(T716))
QUOTW_IN_G(s(s(s(s(s(s(T716))))))) → QUOTX_IN_G(T716)
QUOTX_IN_G(T719) → U40_G(T719, quotW_in_g(T719))
QUOTX_IN_G(T719) → QUOTW_IN_G(T719)
QUOTB_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_GGA(T690, T723, quotY_in_ga(T690, T723))
QUOTB_IN_GGA(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → QUOTY_IN_GA(T690, T723)
QUOTY_IN_GA(s(s(s(s(s(s(T827)))))), T829) → U23_GA(T827, T829, quotZ_in_ga(T827, T829))
QUOTY_IN_GA(s(s(s(s(s(s(T827)))))), T829) → QUOTZ_IN_GA(T827, T829)
QUOTZ_IN_GA(T836, 0) → U24_GA(T836, quotW_in_g(T836))
QUOTZ_IN_GA(T836, 0) → QUOTW_IN_G(T836)
QUOTZ_IN_GA(T836, s(T842)) → U25_GA(T836, T842, quotY_in_ga(T836, T842))
QUOTZ_IN_GA(T836, s(T842)) → QUOTY_IN_GA(T836, T842)
QUOTB_IN_GGA(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_GGA(T850, T853, quotZ_in_ga(T850, T853))
QUOTB_IN_GGA(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → QUOTZ_IN_GA(T850, T853)
QUOTB_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_GGA(T879, quotN1_in_g(T879))
QUOTB_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → QUOTN1_IN_G(T879)
QUOTN1_IN_G(s(s(s(s(s(s(s(T909)))))))) → U26_G(T909, quotN2_in_g(T909))
QUOTN1_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTN2_IN_G(T909)
QUOTN2_IN_G(T912) → U41_G(T912, quotN1_in_g(T912))
QUOTN2_IN_G(T912) → QUOTN1_IN_G(T912)
QUOTB_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_GGA(T879, T916, quotN3_in_ga(T879, T916))
QUOTB_IN_GGA(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → QUOTN3_IN_GA(T879, T916)
QUOTN3_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_GA(T1038, T1040, quotN4_in_ga(T1038, T1040))
QUOTN3_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → QUOTN4_IN_GA(T1038, T1040)
QUOTN4_IN_GA(T1047, 0) → U28_GA(T1047, quotN1_in_g(T1047))
QUOTN4_IN_GA(T1047, 0) → QUOTN1_IN_G(T1047)
QUOTN4_IN_GA(T1047, s(T1053)) → U29_GA(T1047, T1053, quotN3_in_ga(T1047, T1053))
QUOTN4_IN_GA(T1047, s(T1053)) → QUOTN3_IN_GA(T1047, T1053)
QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_GGA(T1061, T1064, quotN4_in_ga(T1061, T1064))
QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → QUOTN4_IN_GA(T1061, T1064)
QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_GGA(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → QUOTN5_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)
QUOTN5_IN_GGGA(T1101, 0, T1109, 0) → U30_GGGA(T1101, T1109, quotN6_in_gg(T1101, T1109))
QUOTN5_IN_GGGA(T1101, 0, T1109, 0) → QUOTN6_IN_GG(T1101, T1109)
QUOTN6_IN_GG(s(T1135), 0) → U45_GG(T1135, quotC_in_g(T1135))
QUOTN6_IN_GG(s(T1135), 0) → QUOTC_IN_G(T1135)
QUOTN6_IN_GG(s(s(T1140)), 0) → U46_GG(T1140, quotD_in_g(T1140))
QUOTN6_IN_GG(s(s(T1140)), 0) → QUOTD_IN_G(T1140)
QUOTN6_IN_GG(s(s(T1154)), s(0)) → U47_GG(T1154, quotG_in_g(T1154))
QUOTN6_IN_GG(s(s(T1154)), s(0)) → QUOTG_IN_G(T1154)
QUOTN6_IN_GG(s(s(s(T1159))), s(0)) → U48_GG(T1159, quotH_in_g(T1159))
QUOTN6_IN_GG(s(s(s(T1159))), s(0)) → QUOTH_IN_G(T1159)
QUOTN6_IN_GG(s(s(s(T1173))), s(s(0))) → U49_GG(T1173, quotK_in_g(T1173))
QUOTN6_IN_GG(s(s(s(T1173))), s(s(0))) → QUOTK_IN_G(T1173)
QUOTN6_IN_GG(s(s(s(s(T1178)))), s(s(0))) → U50_GG(T1178, quotL_in_g(T1178))
QUOTN6_IN_GG(s(s(s(s(T1178)))), s(s(0))) → QUOTL_IN_G(T1178)
QUOTN6_IN_GG(s(s(s(s(T1192)))), s(s(s(0)))) → U51_GG(T1192, quotO_in_g(T1192))
QUOTN6_IN_GG(s(s(s(s(T1192)))), s(s(s(0)))) → QUOTO_IN_G(T1192)
QUOTN6_IN_GG(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_GG(T1197, quotP_in_g(T1197))
QUOTN6_IN_GG(s(s(s(s(s(T1197))))), s(s(s(0)))) → QUOTP_IN_G(T1197)
QUOTN6_IN_GG(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_GG(T1211, quotS_in_g(T1211))
QUOTN6_IN_GG(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → QUOTS_IN_G(T1211)
QUOTN6_IN_GG(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_GG(T1216, quotT_in_g(T1216))
QUOTN6_IN_GG(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → QUOTT_IN_G(T1216)
QUOTN6_IN_GG(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_GG(T1230, quotW_in_g(T1230))
QUOTN6_IN_GG(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → QUOTW_IN_G(T1230)
QUOTN6_IN_GG(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_GG(T1235, quotX_in_g(T1235))
QUOTN6_IN_GG(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → QUOTX_IN_G(T1235)
QUOTN6_IN_GG(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_GG(T1249, quotN1_in_g(T1249))
QUOTN6_IN_GG(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → QUOTN1_IN_G(T1249)
QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_GG(T1254, quotN2_in_g(T1254))
QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → QUOTN2_IN_G(T1254)
QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_GG(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN7_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
QUOTN7_IN_GGG(T1278, 0, T1284) → U42_GGG(T1278, T1284, quotN6_in_gg(T1278, T1284))
QUOTN7_IN_GGG(T1278, 0, T1284) → QUOTN6_IN_GG(T1278, T1284)
QUOTN7_IN_GGG(s(T1303), 0, T1309) → U43_GGG(T1303, T1309, quotN6_in_gg(T1303, T1309))
QUOTN7_IN_GGG(s(T1303), 0, T1309) → QUOTN6_IN_GG(T1303, T1309)
QUOTN7_IN_GGG(s(T1295), s(T1316), T1297) → U44_GGG(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
QUOTN7_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN7_IN_GGG(T1295, T1316, T1297)
QUOTN5_IN_GGGA(T1101, 0, T1109, s(T1322)) → U31_GGGA(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
QUOTN5_IN_GGGA(T1101, 0, T1109, s(T1322)) → QUOTB_IN_GGA(T1101, s(T1109), T1322)
QUOTN5_IN_GGGA(s(T1347), 0, T1355, 0) → U32_GGGA(T1347, T1355, quotN6_in_gg(T1347, T1355))
QUOTN5_IN_GGGA(s(T1347), 0, T1355, 0) → QUOTN6_IN_GG(T1347, T1355)
QUOTN5_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → U33_GGGA(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
QUOTN5_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → QUOTB_IN_GGA(T1347, s(T1355), T1361)
QUOTN5_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → U34_GGGA(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
QUOTN5_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → QUOTN5_IN_GGGA(T1333, T1366, T1335, T1337)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(5) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 16 SCCs with 126 less nodes.

(6) Complex Obligation (AND)

(7) Obligation:

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

QUOTN1_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTN2_IN_G(T909)
QUOTN2_IN_G(T912) → QUOTN1_IN_G(T912)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(8) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(9) Obligation:

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

QUOTN1_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTN2_IN_G(T909)
QUOTN2_IN_G(T912) → QUOTN1_IN_G(T912)

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

(10) PiDPToQDPProof (EQUIVALENT transformation)

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

(11) Obligation:

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

QUOTN1_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTN2_IN_G(T909)
QUOTN2_IN_G(T912) → QUOTN1_IN_G(T912)

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

(12) 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_G(T912) → QUOTN1_IN_G(T912)
The graph contains the following edges 1 >= 1
QUOTN1_IN_G(s(s(s(s(s(s(s(T909)))))))) → QUOTN2_IN_G(T909)
The graph contains the following edges 1 > 1

(13) YES

(14) Obligation:

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

QUOTN4_IN_GA(T1047, s(T1053)) → QUOTN3_IN_GA(T1047, T1053)
QUOTN3_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → QUOTN4_IN_GA(T1038, T1040)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(15) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(16) Obligation:

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

QUOTN4_IN_GA(T1047, s(T1053)) → QUOTN3_IN_GA(T1047, T1053)
QUOTN3_IN_GA(s(s(s(s(s(s(s(T1038))))))), T1040) → QUOTN4_IN_GA(T1038, T1040)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
QUOTN3_IN_GA(x1, x2) = QUOTN3_IN_GA(x1)
QUOTN4_IN_GA(x1, x2) = QUOTN4_IN_GA(x1)

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

(17) PiDPToQDPProof (SOUND transformation)

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

(18) Obligation:

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

QUOTN4_IN_GA(T1047) → QUOTN3_IN_GA(T1047)
QUOTN3_IN_GA(s(s(s(s(s(s(s(T1038)))))))) → QUOTN4_IN_GA(T1038)

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

(19) 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(s(T1038)))))))) → QUOTN4_IN_GA(T1038)
The graph contains the following edges 1 > 1
QUOTN4_IN_GA(T1047) → QUOTN3_IN_GA(T1047)
The graph contains the following edges 1 >= 1

(20) YES

(21) Obligation:

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

QUOTW_IN_G(s(s(s(s(s(s(T716))))))) → QUOTX_IN_G(T716)
QUOTX_IN_G(T719) → QUOTW_IN_G(T719)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(22) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(23) Obligation:

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

QUOTW_IN_G(s(s(s(s(s(s(T716))))))) → QUOTX_IN_G(T716)
QUOTX_IN_G(T719) → QUOTW_IN_G(T719)

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

(24) PiDPToQDPProof (EQUIVALENT transformation)

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

(25) Obligation:

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

QUOTW_IN_G(s(s(s(s(s(s(T716))))))) → QUOTX_IN_G(T716)
QUOTX_IN_G(T719) → QUOTW_IN_G(T719)

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

(26) 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:

QUOTX_IN_G(T719) → QUOTW_IN_G(T719)
The graph contains the following edges 1 >= 1
QUOTW_IN_G(s(s(s(s(s(s(T716))))))) → QUOTX_IN_G(T716)
The graph contains the following edges 1 > 1

(27) YES

(28) Obligation:

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

QUOTZ_IN_GA(T836, s(T842)) → QUOTY_IN_GA(T836, T842)
QUOTY_IN_GA(s(s(s(s(s(s(T827)))))), T829) → QUOTZ_IN_GA(T827, T829)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(29) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(30) Obligation:

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

QUOTZ_IN_GA(T836, s(T842)) → QUOTY_IN_GA(T836, T842)
QUOTY_IN_GA(s(s(s(s(s(s(T827)))))), T829) → QUOTZ_IN_GA(T827, T829)

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

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

(31) PiDPToQDPProof (SOUND transformation)

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

(32) Obligation:

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

QUOTZ_IN_GA(T836) → QUOTY_IN_GA(T836)
QUOTY_IN_GA(s(s(s(s(s(s(T827))))))) → QUOTZ_IN_GA(T827)

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

(33) 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_GA(s(s(s(s(s(s(T827))))))) → QUOTZ_IN_GA(T827)
The graph contains the following edges 1 > 1
QUOTZ_IN_GA(T836) → QUOTY_IN_GA(T836)
The graph contains the following edges 1 >= 1

(34) YES

(35) Obligation:

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

QUOTS_IN_G(s(s(s(s(s(T545)))))) → QUOTT_IN_G(T545)
QUOTT_IN_G(T548) → QUOTS_IN_G(T548)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(36) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(37) Obligation:

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

QUOTS_IN_G(s(s(s(s(s(T545)))))) → QUOTT_IN_G(T545)
QUOTT_IN_G(T548) → QUOTS_IN_G(T548)

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

(38) PiDPToQDPProof (EQUIVALENT transformation)

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

(39) Obligation:

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

QUOTS_IN_G(s(s(s(s(s(T545)))))) → QUOTT_IN_G(T545)
QUOTT_IN_G(T548) → QUOTS_IN_G(T548)

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

(40) 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_G(T548) → QUOTS_IN_G(T548)
The graph contains the following edges 1 >= 1
QUOTS_IN_G(s(s(s(s(s(T545)))))) → QUOTT_IN_G(T545)
The graph contains the following edges 1 > 1

(41) YES

(42) Obligation:

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

QUOTV_IN_GA(T647, s(T653)) → QUOTU_IN_GA(T647, T653)
QUOTU_IN_GA(s(s(s(s(s(T638))))), T640) → QUOTV_IN_GA(T638, T640)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(43) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(44) Obligation:

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

QUOTV_IN_GA(T647, s(T653)) → QUOTU_IN_GA(T647, T653)
QUOTU_IN_GA(s(s(s(s(s(T638))))), T640) → QUOTV_IN_GA(T638, T640)

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

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

(45) PiDPToQDPProof (SOUND transformation)

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

(46) Obligation:

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

QUOTV_IN_GA(T647) → QUOTU_IN_GA(T647)
QUOTU_IN_GA(s(s(s(s(s(T638)))))) → QUOTV_IN_GA(T638)

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

(47) 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:

QUOTU_IN_GA(s(s(s(s(s(T638)))))) → QUOTV_IN_GA(T638)
The graph contains the following edges 1 > 1
QUOTV_IN_GA(T647) → QUOTU_IN_GA(T647)
The graph contains the following edges 1 >= 1

(48) YES

(49) Obligation:

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

QUOTO_IN_G(s(s(s(s(T396))))) → QUOTP_IN_G(T396)
QUOTP_IN_G(T399) → QUOTO_IN_G(T399)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(50) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(51) Obligation:

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

QUOTO_IN_G(s(s(s(s(T396))))) → QUOTP_IN_G(T396)
QUOTP_IN_G(T399) → QUOTO_IN_G(T399)

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

(52) PiDPToQDPProof (EQUIVALENT transformation)

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

(53) Obligation:

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

QUOTO_IN_G(s(s(s(s(T396))))) → QUOTP_IN_G(T396)
QUOTP_IN_G(T399) → QUOTO_IN_G(T399)

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

(54) 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:

QUOTP_IN_G(T399) → QUOTO_IN_G(T399)
The graph contains the following edges 1 >= 1
QUOTO_IN_G(s(s(s(s(T396))))) → QUOTP_IN_G(T396)
The graph contains the following edges 1 > 1

(55) YES

(56) Obligation:

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

QUOTR_IN_GA(T480, s(T486)) → QUOTQ_IN_GA(T480, T486)
QUOTQ_IN_GA(s(s(s(s(T471)))), T473) → QUOTR_IN_GA(T471, T473)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(57) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(58) Obligation:

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

QUOTR_IN_GA(T480, s(T486)) → QUOTQ_IN_GA(T480, T486)
QUOTQ_IN_GA(s(s(s(s(T471)))), T473) → QUOTR_IN_GA(T471, T473)

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

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

(59) PiDPToQDPProof (SOUND transformation)

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

(60) Obligation:

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

QUOTR_IN_GA(T480) → QUOTQ_IN_GA(T480)
QUOTQ_IN_GA(s(s(s(s(T471))))) → QUOTR_IN_GA(T471)

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

(61) 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:

QUOTQ_IN_GA(s(s(s(s(T471))))) → QUOTR_IN_GA(T471)
The graph contains the following edges 1 > 1
QUOTR_IN_GA(T480) → QUOTQ_IN_GA(T480)
The graph contains the following edges 1 >= 1

(62) YES

(63) Obligation:

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

QUOTK_IN_G(s(s(s(T269)))) → QUOTL_IN_G(T269)
QUOTL_IN_G(T272) → QUOTK_IN_G(T272)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(64) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(65) Obligation:

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

QUOTK_IN_G(s(s(s(T269)))) → QUOTL_IN_G(T269)
QUOTL_IN_G(T272) → QUOTK_IN_G(T272)

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

(66) PiDPToQDPProof (EQUIVALENT transformation)

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

(67) Obligation:

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

QUOTK_IN_G(s(s(s(T269)))) → QUOTL_IN_G(T269)
QUOTL_IN_G(T272) → QUOTK_IN_G(T272)

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

(68) 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:

QUOTL_IN_G(T272) → QUOTK_IN_G(T272)
The graph contains the following edges 1 >= 1
QUOTK_IN_G(s(s(s(T269)))) → QUOTL_IN_G(T269)
The graph contains the following edges 1 > 1

(69) YES

(70) Obligation:

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

QUOTN_IN_GA(T335, s(T341)) → QUOTM_IN_GA(T335, T341)
QUOTM_IN_GA(s(s(s(T326))), T328) → QUOTN_IN_GA(T326, T328)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(71) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(72) Obligation:

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

QUOTN_IN_GA(T335, s(T341)) → QUOTM_IN_GA(T335, T341)
QUOTM_IN_GA(s(s(s(T326))), T328) → QUOTN_IN_GA(T326, T328)

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

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

(73) PiDPToQDPProof (SOUND transformation)

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

(74) Obligation:

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

QUOTN_IN_GA(T335) → QUOTM_IN_GA(T335)
QUOTM_IN_GA(s(s(s(T326)))) → QUOTN_IN_GA(T326)

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

(75) 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:

QUOTM_IN_GA(s(s(s(T326)))) → QUOTN_IN_GA(T326)
The graph contains the following edges 1 > 1
QUOTN_IN_GA(T335) → QUOTM_IN_GA(T335)
The graph contains the following edges 1 >= 1

(76) YES

(77) Obligation:

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

QUOTG_IN_G(s(s(T164))) → QUOTH_IN_G(T164)
QUOTH_IN_G(T167) → QUOTG_IN_G(T167)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(78) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(79) Obligation:

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

QUOTG_IN_G(s(s(T164))) → QUOTH_IN_G(T164)
QUOTH_IN_G(T167) → QUOTG_IN_G(T167)

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

(80) PiDPToQDPProof (EQUIVALENT transformation)

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

(81) Obligation:

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

QUOTG_IN_G(s(s(T164))) → QUOTH_IN_G(T164)
QUOTH_IN_G(T167) → QUOTG_IN_G(T167)

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

(82) 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:

QUOTH_IN_G(T167) → QUOTG_IN_G(T167)
The graph contains the following edges 1 >= 1
QUOTG_IN_G(s(s(T164))) → QUOTH_IN_G(T164)
The graph contains the following edges 1 > 1

(83) YES

(84) Obligation:

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

QUOTJ_IN_GA(T212, s(T218)) → QUOTI_IN_GA(T212, T218)
QUOTI_IN_GA(s(s(T203)), T205) → QUOTJ_IN_GA(T203, T205)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(85) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(86) Obligation:

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

QUOTJ_IN_GA(T212, s(T218)) → QUOTI_IN_GA(T212, T218)
QUOTI_IN_GA(s(s(T203)), T205) → QUOTJ_IN_GA(T203, T205)

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

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

(87) PiDPToQDPProof (SOUND transformation)

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

(88) Obligation:

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

QUOTJ_IN_GA(T212) → QUOTI_IN_GA(T212)
QUOTI_IN_GA(s(s(T203))) → QUOTJ_IN_GA(T203)

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

(89) 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:

QUOTI_IN_GA(s(s(T203))) → QUOTJ_IN_GA(T203)
The graph contains the following edges 1 > 1
QUOTJ_IN_GA(T212) → QUOTI_IN_GA(T212)
The graph contains the following edges 1 >= 1

(90) YES

(91) Obligation:

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

QUOTC_IN_G(s(T81)) → QUOTD_IN_G(T81)
QUOTD_IN_G(T84) → QUOTC_IN_G(T84)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(92) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(93) Obligation:

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

QUOTC_IN_G(s(T81)) → QUOTD_IN_G(T81)
QUOTD_IN_G(T84) → QUOTC_IN_G(T84)

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

(94) PiDPToQDPProof (EQUIVALENT transformation)

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

(95) Obligation:

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

QUOTC_IN_G(s(T81)) → QUOTD_IN_G(T81)
QUOTD_IN_G(T84) → QUOTC_IN_G(T84)

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

(96) 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:

QUOTD_IN_G(T84) → QUOTC_IN_G(T84)
The graph contains the following edges 1 >= 1
QUOTC_IN_G(s(T81)) → QUOTD_IN_G(T81)
The graph contains the following edges 1 > 1

(97) YES

(98) Obligation:

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

QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN7_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
QUOTN7_IN_GGG(T1278, 0, T1284) → QUOTN6_IN_GG(T1278, T1284)
QUOTN7_IN_GGG(s(T1303), 0, T1309) → QUOTN6_IN_GG(T1303, T1309)
QUOTN7_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN7_IN_GGG(T1295, T1316, T1297)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(99) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(100) Obligation:

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

QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN7_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
QUOTN7_IN_GGG(T1278, 0, T1284) → QUOTN6_IN_GG(T1278, T1284)
QUOTN7_IN_GGG(s(T1303), 0, T1309) → QUOTN6_IN_GG(T1303, T1309)
QUOTN7_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN7_IN_GGG(T1295, T1316, T1297)

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

(101) PiDPToQDPProof (EQUIVALENT transformation)

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

(102) Obligation:

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

QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN7_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
QUOTN7_IN_GGG(T1278, 0, T1284) → QUOTN6_IN_GG(T1278, T1284)
QUOTN7_IN_GGG(s(T1303), 0, T1309) → QUOTN6_IN_GG(T1303, T1309)
QUOTN7_IN_GGG(s(T1295), s(T1316), T1297) → QUOTN7_IN_GGG(T1295, T1316, T1297)

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

(103) 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_GGG(s(T1295), s(T1316), T1297) → QUOTN7_IN_GGG(T1295, T1316, T1297)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
QUOTN6_IN_GG(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → QUOTN7_IN_GGG(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))
The graph contains the following edges 1 > 1, 2 > 2, 2 >= 3
QUOTN7_IN_GGG(T1278, 0, T1284) → QUOTN6_IN_GG(T1278, T1284)
The graph contains the following edges 1 >= 1, 3 >= 2
QUOTN7_IN_GGG(s(T1303), 0, T1309) → QUOTN6_IN_GG(T1303, T1309)
The graph contains the following edges 1 > 1, 3 >= 2

(104) YES

(105) Obligation:

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

QUOTF_IN_GA(T111, s(T117)) → QUOTE_IN_GA(T111, T117)
QUOTE_IN_GA(s(T102), T104) → QUOTF_IN_GA(T102, T104)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(106) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(107) Obligation:

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

QUOTF_IN_GA(T111, s(T117)) → QUOTE_IN_GA(T111, T117)
QUOTE_IN_GA(s(T102), T104) → QUOTF_IN_GA(T102, T104)

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

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

(108) PiDPToQDPProof (SOUND transformation)

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

(109) Obligation:

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

QUOTF_IN_GA(T111) → QUOTE_IN_GA(T111)
QUOTE_IN_GA(s(T102)) → QUOTF_IN_GA(T102)

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

(110) 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:

QUOTE_IN_GA(s(T102)) → QUOTF_IN_GA(T102)
The graph contains the following edges 1 > 1
QUOTF_IN_GA(T111) → QUOTE_IN_GA(T111)
The graph contains the following edges 1 >= 1

(111) YES

(112) Obligation:

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

QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → QUOTN5_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)
QUOTN5_IN_GGGA(T1101, 0, T1109, s(T1322)) → QUOTB_IN_GGA(T1101, s(T1109), T1322)
QUOTN5_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → QUOTB_IN_GGA(T1347, s(T1355), T1361)
QUOTN5_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → QUOTN5_IN_GGGA(T1333, T1366, T1335, T1337)

The TRS R consists of the following rules:

divA_in_gga(T7, T8, T10) → U1_gga(T7, T8, T10, quotB_in_gga(T7, T8, T10))
quotB_in_gga(0, s(T15), 0) → quotB_out_gga(0, s(T15), 0)
quotB_in_gga(s(0), s(s(T61)), 0) → quotB_out_gga(s(0), s(s(T61)), 0)
quotB_in_gga(s(T75), s(0), 0) → U60_gga(T75, quotC_in_g(T75))
quotC_in_g(0) → quotC_out_g(0)
quotC_in_g(s(T81)) → U2_g(T81, quotD_in_g(T81))
quotD_in_g(T84) → U35_g(T84, quotC_in_g(T84))
U35_g(T84, quotC_out_g(T84)) → quotD_out_g(T84)
U2_g(T81, quotD_out_g(T81)) → quotC_out_g(s(T81))
U60_gga(T75, quotC_out_g(T75)) → quotB_out_gga(s(T75), s(0), 0)
quotB_in_gga(s(T75), s(0), s(T88)) → U61_gga(T75, T88, quotE_in_ga(T75, T88))
quotE_in_ga(0, 0) → quotE_out_ga(0, 0)
quotE_in_ga(s(T102), T104) → U3_ga(T102, T104, quotF_in_ga(T102, T104))
quotF_in_ga(T111, 0) → U4_ga(T111, quotC_in_g(T111))
U4_ga(T111, quotC_out_g(T111)) → quotF_out_ga(T111, 0)
quotF_in_ga(T111, s(T117)) → U5_ga(T111, T117, quotE_in_ga(T111, T117))
U5_ga(T111, T117, quotE_out_ga(T111, T117)) → quotF_out_ga(T111, s(T117))
U3_ga(T102, T104, quotF_out_ga(T102, T104)) → quotE_out_ga(s(T102), T104)
U61_gga(T75, T88, quotE_out_ga(T75, T88)) → quotB_out_gga(s(T75), s(0), s(T88))
quotB_in_gga(s(s(T125)), s(0), T128) → U62_gga(T125, T128, quotF_in_ga(T125, T128))
U62_gga(T125, T128, quotF_out_ga(T125, T128)) → quotB_out_gga(s(s(T125)), s(0), T128)
quotB_in_gga(s(s(0)), s(s(s(T140))), 0) → quotB_out_gga(s(s(0)), s(s(s(T140))), 0)
quotB_in_gga(s(s(T154)), s(s(0)), 0) → U63_gga(T154, quotG_in_g(T154))
quotG_in_g(0) → quotG_out_g(0)
quotG_in_g(s(0)) → quotG_out_g(s(0))
quotG_in_g(s(s(T164))) → U6_g(T164, quotH_in_g(T164))
quotH_in_g(T167) → U36_g(T167, quotG_in_g(T167))
U36_g(T167, quotG_out_g(T167)) → quotH_out_g(T167)
U6_g(T164, quotH_out_g(T164)) → quotG_out_g(s(s(T164)))
U63_gga(T154, quotG_out_g(T154)) → quotB_out_gga(s(s(T154)), s(s(0)), 0)
quotB_in_gga(s(s(T154)), s(s(0)), s(T171)) → U64_gga(T154, T171, quotI_in_ga(T154, T171))
quotI_in_ga(0, 0) → quotI_out_ga(0, 0)
quotI_in_ga(s(0), 0) → quotI_out_ga(s(0), 0)
quotI_in_ga(s(s(T203)), T205) → U7_ga(T203, T205, quotJ_in_ga(T203, T205))
quotJ_in_ga(T212, 0) → U8_ga(T212, quotG_in_g(T212))
U8_ga(T212, quotG_out_g(T212)) → quotJ_out_ga(T212, 0)
quotJ_in_ga(T212, s(T218)) → U9_ga(T212, T218, quotI_in_ga(T212, T218))
U9_ga(T212, T218, quotI_out_ga(T212, T218)) → quotJ_out_ga(T212, s(T218))
U7_ga(T203, T205, quotJ_out_ga(T203, T205)) → quotI_out_ga(s(s(T203)), T205)
U64_gga(T154, T171, quotI_out_ga(T154, T171)) → quotB_out_gga(s(s(T154)), s(s(0)), s(T171))
quotB_in_gga(s(s(s(T226))), s(s(0)), T229) → U65_gga(T226, T229, quotJ_in_ga(T226, T229))
U65_gga(T226, T229, quotJ_out_ga(T226, T229)) → quotB_out_gga(s(s(s(T226))), s(s(0)), T229)
quotB_in_gga(s(s(s(0))), s(s(s(s(T241)))), 0) → quotB_out_gga(s(s(s(0))), s(s(s(s(T241)))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), 0) → U66_gga(T255, quotK_in_g(T255))
quotK_in_g(0) → quotK_out_g(0)
quotK_in_g(s(0)) → quotK_out_g(s(0))
quotK_in_g(s(s(0))) → quotK_out_g(s(s(0)))
quotK_in_g(s(s(s(T269)))) → U10_g(T269, quotL_in_g(T269))
quotL_in_g(T272) → U37_g(T272, quotK_in_g(T272))
U37_g(T272, quotK_out_g(T272)) → quotL_out_g(T272)
U10_g(T269, quotL_out_g(T269)) → quotK_out_g(s(s(s(T269))))
U66_gga(T255, quotK_out_g(T255)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), 0)
quotB_in_gga(s(s(s(T255))), s(s(s(0))), s(T276)) → U67_gga(T255, T276, quotM_in_ga(T255, T276))
quotM_in_ga(0, 0) → quotM_out_ga(0, 0)
quotM_in_ga(s(0), 0) → quotM_out_ga(s(0), 0)
quotM_in_ga(s(s(0)), 0) → quotM_out_ga(s(s(0)), 0)
quotM_in_ga(s(s(s(T326))), T328) → U11_ga(T326, T328, quotN_in_ga(T326, T328))
quotN_in_ga(T335, 0) → U12_ga(T335, quotK_in_g(T335))
U12_ga(T335, quotK_out_g(T335)) → quotN_out_ga(T335, 0)
quotN_in_ga(T335, s(T341)) → U13_ga(T335, T341, quotM_in_ga(T335, T341))
U13_ga(T335, T341, quotM_out_ga(T335, T341)) → quotN_out_ga(T335, s(T341))
U11_ga(T326, T328, quotN_out_ga(T326, T328)) → quotM_out_ga(s(s(s(T326))), T328)
U67_gga(T255, T276, quotM_out_ga(T255, T276)) → quotB_out_gga(s(s(s(T255))), s(s(s(0))), s(T276))
quotB_in_gga(s(s(s(s(T349)))), s(s(s(0))), T352) → U68_gga(T349, T352, quotN_in_ga(T349, T352))
U68_gga(T349, T352, quotN_out_ga(T349, T352)) → quotB_out_gga(s(s(s(s(T349)))), s(s(s(0))), T352)
quotB_in_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0) → quotB_out_gga(s(s(s(s(0)))), s(s(s(s(s(T364))))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0) → U69_gga(T378, quotO_in_g(T378))
quotO_in_g(0) → quotO_out_g(0)
quotO_in_g(s(0)) → quotO_out_g(s(0))
quotO_in_g(s(s(0))) → quotO_out_g(s(s(0)))
quotO_in_g(s(s(s(0)))) → quotO_out_g(s(s(s(0))))
quotO_in_g(s(s(s(s(T396))))) → U14_g(T396, quotP_in_g(T396))
quotP_in_g(T399) → U38_g(T399, quotO_in_g(T399))
U38_g(T399, quotO_out_g(T399)) → quotP_out_g(T399)
U14_g(T396, quotP_out_g(T396)) → quotO_out_g(s(s(s(s(T396)))))
U69_gga(T378, quotO_out_g(T378)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), 0)
quotB_in_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403)) → U70_gga(T378, T403, quotQ_in_ga(T378, T403))
quotQ_in_ga(0, 0) → quotQ_out_ga(0, 0)
quotQ_in_ga(s(0), 0) → quotQ_out_ga(s(0), 0)
quotQ_in_ga(s(s(0)), 0) → quotQ_out_ga(s(s(0)), 0)
quotQ_in_ga(s(s(s(0))), 0) → quotQ_out_ga(s(s(s(0))), 0)
quotQ_in_ga(s(s(s(s(T471)))), T473) → U15_ga(T471, T473, quotR_in_ga(T471, T473))
quotR_in_ga(T480, 0) → U16_ga(T480, quotO_in_g(T480))
U16_ga(T480, quotO_out_g(T480)) → quotR_out_ga(T480, 0)
quotR_in_ga(T480, s(T486)) → U17_ga(T480, T486, quotQ_in_ga(T480, T486))
U17_ga(T480, T486, quotQ_out_ga(T480, T486)) → quotR_out_ga(T480, s(T486))
U15_ga(T471, T473, quotR_out_ga(T471, T473)) → quotQ_out_ga(s(s(s(s(T471)))), T473)
U70_gga(T378, T403, quotQ_out_ga(T378, T403)) → quotB_out_gga(s(s(s(s(T378)))), s(s(s(s(0)))), s(T403))
quotB_in_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497) → U71_gga(T494, T497, quotR_in_ga(T494, T497))
U71_gga(T494, T497, quotR_out_ga(T494, T497)) → quotB_out_gga(s(s(s(s(s(T494))))), s(s(s(s(0)))), T497)
quotB_in_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0) → quotB_out_gga(s(s(s(s(s(0))))), s(s(s(s(s(s(T509)))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0) → U72_gga(T523, quotS_in_g(T523))
quotS_in_g(0) → quotS_out_g(0)
quotS_in_g(s(0)) → quotS_out_g(s(0))
quotS_in_g(s(s(0))) → quotS_out_g(s(s(0)))
quotS_in_g(s(s(s(0)))) → quotS_out_g(s(s(s(0))))
quotS_in_g(s(s(s(s(0))))) → quotS_out_g(s(s(s(s(0)))))
quotS_in_g(s(s(s(s(s(T545)))))) → U18_g(T545, quotT_in_g(T545))
quotT_in_g(T548) → U39_g(T548, quotS_in_g(T548))
U39_g(T548, quotS_out_g(T548)) → quotT_out_g(T548)
U18_g(T545, quotT_out_g(T545)) → quotS_out_g(s(s(s(s(s(T545))))))
U72_gga(T523, quotS_out_g(T523)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), 0)
quotB_in_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552)) → U73_gga(T523, T552, quotU_in_ga(T523, T552))
quotU_in_ga(0, 0) → quotU_out_ga(0, 0)
quotU_in_ga(s(0), 0) → quotU_out_ga(s(0), 0)
quotU_in_ga(s(s(0)), 0) → quotU_out_ga(s(s(0)), 0)
quotU_in_ga(s(s(s(0))), 0) → quotU_out_ga(s(s(s(0))), 0)
quotU_in_ga(s(s(s(s(0)))), 0) → quotU_out_ga(s(s(s(s(0)))), 0)
quotU_in_ga(s(s(s(s(s(T638))))), T640) → U19_ga(T638, T640, quotV_in_ga(T638, T640))
quotV_in_ga(T647, 0) → U20_ga(T647, quotS_in_g(T647))
U20_ga(T647, quotS_out_g(T647)) → quotV_out_ga(T647, 0)
quotV_in_ga(T647, s(T653)) → U21_ga(T647, T653, quotU_in_ga(T647, T653))
U21_ga(T647, T653, quotU_out_ga(T647, T653)) → quotV_out_ga(T647, s(T653))
U19_ga(T638, T640, quotV_out_ga(T638, T640)) → quotU_out_ga(s(s(s(s(s(T638))))), T640)
U73_gga(T523, T552, quotU_out_ga(T523, T552)) → quotB_out_gga(s(s(s(s(s(T523))))), s(s(s(s(s(0))))), s(T552))
quotB_in_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664) → U74_gga(T661, T664, quotV_in_ga(T661, T664))
U74_gga(T661, T664, quotV_out_ga(T661, T664)) → quotB_out_gga(s(s(s(s(s(s(T661)))))), s(s(s(s(s(0))))), T664)
quotB_in_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0) → quotB_out_gga(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(s(T676))))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0) → U75_gga(T690, quotW_in_g(T690))
quotW_in_g(0) → quotW_out_g(0)
quotW_in_g(s(0)) → quotW_out_g(s(0))
quotW_in_g(s(s(0))) → quotW_out_g(s(s(0)))
quotW_in_g(s(s(s(0)))) → quotW_out_g(s(s(s(0))))
quotW_in_g(s(s(s(s(0))))) → quotW_out_g(s(s(s(s(0)))))
quotW_in_g(s(s(s(s(s(0)))))) → quotW_out_g(s(s(s(s(s(0))))))
quotW_in_g(s(s(s(s(s(s(T716))))))) → U22_g(T716, quotX_in_g(T716))
quotX_in_g(T719) → U40_g(T719, quotW_in_g(T719))
U40_g(T719, quotW_out_g(T719)) → quotX_out_g(T719)
U22_g(T716, quotX_out_g(T716)) → quotW_out_g(s(s(s(s(s(s(T716)))))))
U75_gga(T690, quotW_out_g(T690)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), 0)
quotB_in_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723)) → U76_gga(T690, T723, quotY_in_ga(T690, T723))
quotY_in_ga(0, 0) → quotY_out_ga(0, 0)
quotY_in_ga(s(0), 0) → quotY_out_ga(s(0), 0)
quotY_in_ga(s(s(0)), 0) → quotY_out_ga(s(s(0)), 0)
quotY_in_ga(s(s(s(0))), 0) → quotY_out_ga(s(s(s(0))), 0)
quotY_in_ga(s(s(s(s(0)))), 0) → quotY_out_ga(s(s(s(s(0)))), 0)
quotY_in_ga(s(s(s(s(s(0))))), 0) → quotY_out_ga(s(s(s(s(s(0))))), 0)
quotY_in_ga(s(s(s(s(s(s(T827)))))), T829) → U23_ga(T827, T829, quotZ_in_ga(T827, T829))
quotZ_in_ga(T836, 0) → U24_ga(T836, quotW_in_g(T836))
U24_ga(T836, quotW_out_g(T836)) → quotZ_out_ga(T836, 0)
quotZ_in_ga(T836, s(T842)) → U25_ga(T836, T842, quotY_in_ga(T836, T842))
U25_ga(T836, T842, quotY_out_ga(T836, T842)) → quotZ_out_ga(T836, s(T842))
U23_ga(T827, T829, quotZ_out_ga(T827, T829)) → quotY_out_ga(s(s(s(s(s(s(T827)))))), T829)
U76_gga(T690, T723, quotY_out_ga(T690, T723)) → quotB_out_gga(s(s(s(s(s(s(T690)))))), s(s(s(s(s(s(0)))))), s(T723))
quotB_in_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853) → U77_gga(T850, T853, quotZ_in_ga(T850, T853))
U77_gga(T850, T853, quotZ_out_ga(T850, T853)) → quotB_out_gga(s(s(s(s(s(s(s(T850))))))), s(s(s(s(s(s(0)))))), T853)
quotB_in_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0) → quotB_out_gga(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(s(T865)))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0) → U78_gga(T879, quotN1_in_g(T879))
quotN1_in_g(0) → quotN1_out_g(0)
quotN1_in_g(s(0)) → quotN1_out_g(s(0))
quotN1_in_g(s(s(0))) → quotN1_out_g(s(s(0)))
quotN1_in_g(s(s(s(0)))) → quotN1_out_g(s(s(s(0))))
quotN1_in_g(s(s(s(s(0))))) → quotN1_out_g(s(s(s(s(0)))))
quotN1_in_g(s(s(s(s(s(0)))))) → quotN1_out_g(s(s(s(s(s(0))))))
quotN1_in_g(s(s(s(s(s(s(0))))))) → quotN1_out_g(s(s(s(s(s(s(0)))))))
quotN1_in_g(s(s(s(s(s(s(s(T909)))))))) → U26_g(T909, quotN2_in_g(T909))
quotN2_in_g(T912) → U41_g(T912, quotN1_in_g(T912))
U41_g(T912, quotN1_out_g(T912)) → quotN2_out_g(T912)
U26_g(T909, quotN2_out_g(T909)) → quotN1_out_g(s(s(s(s(s(s(s(T909))))))))
U78_gga(T879, quotN1_out_g(T879)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), 0)
quotB_in_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916)) → U79_gga(T879, T916, quotN3_in_ga(T879, T916))
quotN3_in_ga(0, 0) → quotN3_out_ga(0, 0)
quotN3_in_ga(s(0), 0) → quotN3_out_ga(s(0), 0)
quotN3_in_ga(s(s(0)), 0) → quotN3_out_ga(s(s(0)), 0)
quotN3_in_ga(s(s(s(0))), 0) → quotN3_out_ga(s(s(s(0))), 0)
quotN3_in_ga(s(s(s(s(0)))), 0) → quotN3_out_ga(s(s(s(s(0)))), 0)
quotN3_in_ga(s(s(s(s(s(0))))), 0) → quotN3_out_ga(s(s(s(s(s(0))))), 0)
quotN3_in_ga(s(s(s(s(s(s(0)))))), 0) → quotN3_out_ga(s(s(s(s(s(s(0)))))), 0)
quotN3_in_ga(s(s(s(s(s(s(s(T1038))))))), T1040) → U27_ga(T1038, T1040, quotN4_in_ga(T1038, T1040))
quotN4_in_ga(T1047, 0) → U28_ga(T1047, quotN1_in_g(T1047))
U28_ga(T1047, quotN1_out_g(T1047)) → quotN4_out_ga(T1047, 0)
quotN4_in_ga(T1047, s(T1053)) → U29_ga(T1047, T1053, quotN3_in_ga(T1047, T1053))
U29_ga(T1047, T1053, quotN3_out_ga(T1047, T1053)) → quotN4_out_ga(T1047, s(T1053))
U27_ga(T1038, T1040, quotN4_out_ga(T1038, T1040)) → quotN3_out_ga(s(s(s(s(s(s(s(T1038))))))), T1040)
U79_gga(T879, T916, quotN3_out_ga(T879, T916)) → quotB_out_gga(s(s(s(s(s(s(s(T879))))))), s(s(s(s(s(s(s(0))))))), s(T916))
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064) → U80_gga(T1061, T1064, quotN4_in_ga(T1061, T1064))
U80_gga(T1061, T1064, quotN4_out_ga(T1061, T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(0))))))), T1064)
quotB_in_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → U81_gga(T1061, T1069, T1064, quotN5_in_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064))
quotN5_in_ggga(0, s(T1082), T1083, 0) → quotN5_out_ggga(0, s(T1082), T1083, 0)
quotN5_in_ggga(T1101, 0, T1109, 0) → U30_ggga(T1101, T1109, quotN6_in_gg(T1101, T1109))
quotN6_in_gg(0, T1114) → quotN6_out_gg(0, T1114)
quotN6_in_gg(s(0), s(T1130)) → quotN6_out_gg(s(0), s(T1130))
quotN6_in_gg(s(T1135), 0) → U45_gg(T1135, quotC_in_g(T1135))
U45_gg(T1135, quotC_out_g(T1135)) → quotN6_out_gg(s(T1135), 0)
quotN6_in_gg(s(s(T1140)), 0) → U46_gg(T1140, quotD_in_g(T1140))
U46_gg(T1140, quotD_out_g(T1140)) → quotN6_out_gg(s(s(T1140)), 0)
quotN6_in_gg(s(s(0)), s(s(T1149))) → quotN6_out_gg(s(s(0)), s(s(T1149)))
quotN6_in_gg(s(s(T1154)), s(0)) → U47_gg(T1154, quotG_in_g(T1154))
U47_gg(T1154, quotG_out_g(T1154)) → quotN6_out_gg(s(s(T1154)), s(0))
quotN6_in_gg(s(s(s(T1159))), s(0)) → U48_gg(T1159, quotH_in_g(T1159))
U48_gg(T1159, quotH_out_g(T1159)) → quotN6_out_gg(s(s(s(T1159))), s(0))
quotN6_in_gg(s(s(s(0))), s(s(s(T1168)))) → quotN6_out_gg(s(s(s(0))), s(s(s(T1168))))
quotN6_in_gg(s(s(s(T1173))), s(s(0))) → U49_gg(T1173, quotK_in_g(T1173))
U49_gg(T1173, quotK_out_g(T1173)) → quotN6_out_gg(s(s(s(T1173))), s(s(0)))
quotN6_in_gg(s(s(s(s(T1178)))), s(s(0))) → U50_gg(T1178, quotL_in_g(T1178))
U50_gg(T1178, quotL_out_g(T1178)) → quotN6_out_gg(s(s(s(s(T1178)))), s(s(0)))
quotN6_in_gg(s(s(s(s(0)))), s(s(s(s(T1187))))) → quotN6_out_gg(s(s(s(s(0)))), s(s(s(s(T1187)))))
quotN6_in_gg(s(s(s(s(T1192)))), s(s(s(0)))) → U51_gg(T1192, quotO_in_g(T1192))
U51_gg(T1192, quotO_out_g(T1192)) → quotN6_out_gg(s(s(s(s(T1192)))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(T1197))))), s(s(s(0)))) → U52_gg(T1197, quotP_in_g(T1197))
U52_gg(T1197, quotP_out_g(T1197)) → quotN6_out_gg(s(s(s(s(s(T1197))))), s(s(s(0))))
quotN6_in_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206)))))) → quotN6_out_gg(s(s(s(s(s(0))))), s(s(s(s(s(T1206))))))
quotN6_in_gg(s(s(s(s(s(T1211))))), s(s(s(s(0))))) → U53_gg(T1211, quotS_in_g(T1211))
U53_gg(T1211, quotS_out_g(T1211)) → quotN6_out_gg(s(s(s(s(s(T1211))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0))))) → U54_gg(T1216, quotT_in_g(T1216))
U54_gg(T1216, quotT_out_g(T1216)) → quotN6_out_gg(s(s(s(s(s(s(T1216)))))), s(s(s(s(0)))))
quotN6_in_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225))))))) → quotN6_out_gg(s(s(s(s(s(s(0)))))), s(s(s(s(s(s(T1225)))))))
quotN6_in_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0)))))) → U55_gg(T1230, quotW_in_g(T1230))
U55_gg(T1230, quotW_out_g(T1230)) → quotN6_out_gg(s(s(s(s(s(s(T1230)))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0)))))) → U56_gg(T1235, quotX_in_g(T1235))
U56_gg(T1235, quotX_out_g(T1235)) → quotN6_out_gg(s(s(s(s(s(s(s(T1235))))))), s(s(s(s(s(0))))))
quotN6_in_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244)))))))) → quotN6_out_gg(s(s(s(s(s(s(s(0))))))), s(s(s(s(s(s(s(T1244))))))))
quotN6_in_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0))))))) → U57_gg(T1249, quotN1_in_g(T1249))
U57_gg(T1249, quotN1_out_g(T1249)) → quotN6_out_gg(s(s(s(s(s(s(s(T1249))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0))))))) → U58_gg(T1254, quotN2_in_g(T1254))
U58_gg(T1254, quotN2_out_g(T1254)) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(0)))))))
quotN6_in_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259)))))))) → U59_gg(T1254, T1259, quotN7_in_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259)))))))))
quotN7_in_ggg(0, s(T1268), T1269) → quotN7_out_ggg(0, s(T1268), T1269)
quotN7_in_ggg(T1278, 0, T1284) → U42_ggg(T1278, T1284, quotN6_in_gg(T1278, T1284))
U42_ggg(T1278, T1284, quotN6_out_gg(T1278, T1284)) → quotN7_out_ggg(T1278, 0, T1284)
quotN7_in_ggg(s(T1303), 0, T1309) → U43_ggg(T1303, T1309, quotN6_in_gg(T1303, T1309))
U43_ggg(T1303, T1309, quotN6_out_gg(T1303, T1309)) → quotN7_out_ggg(s(T1303), 0, T1309)
quotN7_in_ggg(s(T1295), s(T1316), T1297) → U44_ggg(T1295, T1316, T1297, quotN7_in_ggg(T1295, T1316, T1297))
U44_ggg(T1295, T1316, T1297, quotN7_out_ggg(T1295, T1316, T1297)) → quotN7_out_ggg(s(T1295), s(T1316), T1297)
U59_gg(T1254, T1259, quotN7_out_ggg(T1254, T1259, s(s(s(s(s(s(s(T1259))))))))) → quotN6_out_gg(s(s(s(s(s(s(s(s(T1254)))))))), s(s(s(s(s(s(s(T1259))))))))
U30_ggga(T1101, T1109, quotN6_out_gg(T1101, T1109)) → quotN5_out_ggga(T1101, 0, T1109, 0)
quotN5_in_ggga(T1101, 0, T1109, s(T1322)) → U31_ggga(T1101, T1109, T1322, quotB_in_gga(T1101, s(T1109), T1322))
U31_ggga(T1101, T1109, T1322, quotB_out_gga(T1101, s(T1109), T1322)) → quotN5_out_ggga(T1101, 0, T1109, s(T1322))
quotN5_in_ggga(s(T1347), 0, T1355, 0) → U32_ggga(T1347, T1355, quotN6_in_gg(T1347, T1355))
U32_ggga(T1347, T1355, quotN6_out_gg(T1347, T1355)) → quotN5_out_ggga(s(T1347), 0, T1355, 0)
quotN5_in_ggga(s(T1347), 0, T1355, s(T1361)) → U33_ggga(T1347, T1355, T1361, quotB_in_gga(T1347, s(T1355), T1361))
U33_ggga(T1347, T1355, T1361, quotB_out_gga(T1347, s(T1355), T1361)) → quotN5_out_ggga(s(T1347), 0, T1355, s(T1361))
quotN5_in_ggga(s(T1333), s(T1366), T1335, T1337) → U34_ggga(T1333, T1366, T1335, T1337, quotN5_in_ggga(T1333, T1366, T1335, T1337))
U34_ggga(T1333, T1366, T1335, T1337, quotN5_out_ggga(T1333, T1366, T1335, T1337)) → quotN5_out_ggga(s(T1333), s(T1366), T1335, T1337)
U81_gga(T1061, T1069, T1064, quotN5_out_ggga(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)) → quotB_out_gga(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064)
U1_gga(T7, T8, T10, quotB_out_gga(T7, T8, T10)) → divA_out_gga(T7, T8, T10)

(113) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(114) Obligation:

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

QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069)))))))), T1064) → QUOTN5_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))), T1064)
QUOTN5_IN_GGGA(T1101, 0, T1109, s(T1322)) → QUOTB_IN_GGA(T1101, s(T1109), T1322)
QUOTN5_IN_GGGA(s(T1347), 0, T1355, s(T1361)) → QUOTB_IN_GGA(T1347, s(T1355), T1361)
QUOTN5_IN_GGGA(s(T1333), s(T1366), T1335, T1337) → QUOTN5_IN_GGGA(T1333, T1366, T1335, T1337)

R is empty.
The argument filtering Pi contains the following mapping:
0 = 0
s(x1) = s(x1)
QUOTB_IN_GGA(x1, x2, x3) = QUOTB_IN_GGA(x1, x2)
QUOTN5_IN_GGGA(x1, x2, x3, x4) = QUOTN5_IN_GGGA(x1, x2, x3)

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

(115) PiDPToQDPProof (SOUND transformation)

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

(116) Obligation:

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

QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069))))))))) → QUOTN5_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))))
QUOTN5_IN_GGGA(T1101, 0, T1109) → QUOTB_IN_GGA(T1101, s(T1109))
QUOTN5_IN_GGGA(s(T1347), 0, T1355) → QUOTB_IN_GGA(T1347, s(T1355))
QUOTN5_IN_GGGA(s(T1333), s(T1366), T1335) → QUOTN5_IN_GGGA(T1333, T1366, T1335)

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

(117) 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_GGGA(s(T1333), s(T1366), T1335) → QUOTN5_IN_GGGA(T1333, T1366, T1335)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
QUOTB_IN_GGA(s(s(s(s(s(s(s(s(T1061)))))))), s(s(s(s(s(s(s(s(T1069))))))))) → QUOTN5_IN_GGGA(T1061, T1069, s(s(s(s(s(s(s(T1069))))))))
The graph contains the following edges 1 > 1, 2 > 2, 2 > 3
QUOTN5_IN_GGGA(T1101, 0, T1109) → QUOTB_IN_GGA(T1101, s(T1109))
The graph contains the following edges 1 >= 1
QUOTN5_IN_GGGA(s(T1347), 0, T1355) → QUOTB_IN_GGA(T1347, s(T1355))
The graph contains the following edges 1 > 1