Left Termination proof of /tmp/tmp9BFV9h/btapplast.pl

Left Termination of the query pattern goal_in_3(g, a, a) w.r.t. the given Prolog program could not be shown:

0 Prolog

↳1 PrologToDTProblemTransformerProof (⇐)

↳2 TRIPLES

↳3 UndefinedPredicateInTriplesTransformerProof (⇐)

↳4 TRIPLES

↳5 TriplesToPiDPProof (⇐)

↳6 PiDP

↳7 DependencyGraphProof (⇔)

↳8 AND

    ↳9 PiDP

        ↳10 UsableRulesProof (⇔)

        ↳11 PiDP

        ↳12 PiDPToQDPProof (⇐)

        ↳13 QDP

        ↳14 NonTerminationProof (⇔)

        ↳15 NO

    ↳16 PiDP

        ↳17 UsableRulesProof (⇔)

        ↳18 PiDP

        ↳19 PiDPToQDPProof (⇐)

        ↳20 QDP

        ↳21 QDPSizeChangeProof (⇔)

        ↳22 YES

    ↳23 PiDP

        ↳24 UsableRulesProof (⇔)

        ↳25 PiDP

        ↳26 PiDPToQDPProof (⇐)

        ↳27 QDP

        ↳28 QDPSizeChangeProof (⇔)

        ↳29 YES

    ↳30 PiDP

        ↳31 UsableRulesProof (⇔)

        ↳32 PiDP

        ↳33 PiDPToQDPProof (⇐)

        ↳34 QDP

        ↳35 NonTerminationProof (⇔)

        ↳36 NO

    ↳37 PiDP

        ↳38 UsableRulesProof (⇔)

        ↳39 PiDP

        ↳40 PiDPToQDPProof (⇐)

        ↳41 QDP

        ↳42 NonTerminationProof (⇔)

        ↳43 NO

    ↳44 PiDP

        ↳45 UsableRulesProof (⇔)

        ↳46 PiDP

        ↳47 PiDPToQDPProof (⇐)

        ↳48 QDP

        ↳49 QDPSizeChangeProof (⇔)

        ↳50 YES

    ↳51 PiDP

        ↳52 UsableRulesProof (⇔)

        ↳53 PiDP

        ↳54 PiDPToQDPProof (⇐)

        ↳55 QDP

        ↳56 NonTerminationProof (⇔)

        ↳57 NO

(0) Obligation:

Clauses:

goal(A, B, C) :- ','(s2t(A, T), tapplast(T, B, C)).
tapplast(L, X, Last) :- ','(tappend(L, node(nil, X, nil), LX), tlast(Last, LX)).
tlast(X, node(nil, X, nil)).
tlast(X, node(L, X1, X2)) :- tlast(X, L).
tlast(X, node(X3, X4, R)) :- tlast(X, R).
tappend(nil, Y, Z) :- ','(!, eq(Y, Z)).
tappend(T, T1, node(T1, X, T2)) :- ','(left(T, nil), ','(right(T, T2), value(T, X))).
tappend(T, T2, node(T1, X, T2)) :- ','(left(T, T1), ','(right(T, nil), value(T, X))).
tappend(T, T3, node(U, X, T2)) :- ','(left(T, T1), ','(right(T, T2), ','(value(T, X), tappend(T1, T3, U)))).
tappend(T, T1, node(T1, X, U)) :- ','(left(T, T1), ','(right(T, T2), ','(value(T, X), tappend(T2, T3, U)))).
s2t(0, L) :- ','(!, eq(L, nil)).
s2t(X, node(T, X5, T)) :- ','(p(X, P), s2t(P, T)).
s2t(X, node(nil, X6, T)) :- ','(p(X, P), s2t(P, T)).
s2t(X, node(T, X7, nil)) :- ','(p(X, P), s2t(P, T)).
s2t(X, node(nil, X8, nil)).
left(nil, nil).
left(node(L, X9, X10), L).
right(nil, nil).
right(node(X11, X12, R), R).
value(nil, nil).
value(node(X13, X, X14), X).
p(0, 0).
p(s(X), X).
eq(X, X).

Queries:

goal(g,a,a).

(1) PrologToDTProblemTransformerProof (SOUND transformation)

Built DT problem from termination graph.

digraph dp_graph {
node [outthreshold=100, inthreshold=100];
1 [label="1: goal(T4, T5, T6)\n\nT4 is ground", fontsize=16, style=filled, fillcolor=lightyellow, color=red];
2 [label="2: goal(T4, T5, T6), SCOPE: 1, CLAUSE: 0\n\nT4 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
3 [label="3: ','(s2t(T10, X21), tapplast(X21, T13, T14))\n\nT10 is ground\nX21 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
4 [label="4: ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 10 | ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 11 | ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 12 | ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 13 | ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 14\n\nT10 is ground\nX21 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
5 [label="5: ','(!_2, ','(eq(X27, nil), tapplast(X27, T13, T14))) | ','(s2t(0, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 11 | ','(s2t(0, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 12 | ','(s2t(0, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 13 | ','(s2t(0, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 14\n\nX21 is free\nX27 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
6 [label="6: ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 11 | ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 12 | ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 13 | ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 14\n\nT10 is ground\nX21 is free; \ns2t(T10, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
7 [label="7: ','(eq(X27, nil), tapplast(X27, T13, T14))\n\nX27 is free", fontsize=16, style=filled, fillcolor=lightyellow];
8 [label="8: ','(eq(X27, nil), tapplast(X27, T13, T14)), SCOPE: 3, CLAUSE: 23\n\nX27 is free", fontsize=16, style=filled, fillcolor=lightyellow];
9 [label="9: tapplast(nil, T13, T14)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
10 [label="10: tapplast(nil, T13, T14), SCOPE: 4, CLAUSE: 1\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
11 [label="11: ','(tappend(nil, node(nil, T30, nil), X61), tlast(T31, X61))\n\nX61 is free", fontsize=16, style=filled, fillcolor=lightyellow];
12 [label="12: tappend(nil, node(nil, T30, nil), X61)\n\nX61 is free", fontsize=16, style=filled, fillcolor=lightyellow];
13 [label="13: tlast(T34, T33)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
14 [label="14: tappend(nil, node(nil, T30, nil), X61), SCOPE: 5, CLAUSE: 5 | tappend(nil, node(nil, T30, nil), X61), SCOPE: 5, CLAUSE: 6 | tappend(nil, node(nil, T30, nil), X61), SCOPE: 5, CLAUSE: 7 | tappend(nil, node(nil, T30, nil), X61), SCOPE: 5, CLAUSE: 8 | tappend(nil, node(nil, T30, nil), X61), SCOPE: 5, CLAUSE: 9\n\nX61 is free", fontsize=16, style=filled, fillcolor=lightyellow];
15 [label="15: ','(!_5, eq(node(nil, T40, nil), X76)) | tappend(nil, node(nil, T30, nil), X61), SCOPE: 5, CLAUSE: 6 | tappend(nil, node(nil, T30, nil), X61), SCOPE: 5, CLAUSE: 7 | tappend(nil, node(nil, T30, nil), X61), SCOPE: 5, CLAUSE: 8 | tappend(nil, node(nil, T30, nil), X61), SCOPE: 5, CLAUSE: 9\n\nX61 is free\nX76 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
16 [label="16: eq(node(nil, T40, nil), X76)\n\nX76 is free", fontsize=16, style=filled, fillcolor=lightyellow];
17 [label="17: eq(node(nil, T40, nil), X76), SCOPE: 6, CLAUSE: 23\n\nX76 is free", fontsize=16, style=filled, fillcolor=lightyellow];
18 [label="18: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
19 [label="19: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
20 [label="20: tlast(T34, T33), SCOPE: 7, CLAUSE: 2 | tlast(T34, T33), SCOPE: 7, CLAUSE: 3 | tlast(T34, T33), SCOPE: 7, CLAUSE: 4\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
21 [label="21: tlast(T34, T33), SCOPE: 7, CLAUSE: 2\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
22 [label="22: tlast(T34, T33), SCOPE: 7, CLAUSE: 3 | tlast(T34, T33), SCOPE: 7, CLAUSE: 4\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
23 [label="23: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
24 [label="24: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
25 [label="25: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
26 [label="26: tlast(T34, T33), SCOPE: 7, CLAUSE: 3\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
27 [label="27: tlast(T34, T33), SCOPE: 7, CLAUSE: 4\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
28 [label="28: tlast(T71, T72)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
29 [label="29: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
30 [label="30: tlast(T87, T88)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
31 [label="31: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
32 [label="32: ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 11\n\nT10 is ground\nX21 is free; \ns2t(T10, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
33 [label="33: ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 12 | ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 13 | ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 14\n\nT10 is ground\nX21 is free; \ns2t(T10, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
34 [label="34: ','(p(T95, X161), ','(s2t(X161, X162), tapplast(node(X162, X163, X162), T13, T14)))\n\nT95 is ground\nX162 is free; \nX163 is free; \nX161 is free; \ns2t(T95, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
35 [label="35: ','(p(T95, X161), ','(s2t(X161, X162), tapplast(node(X162, X163, X162), T13, T14))), SCOPE: 8, CLAUSE: 21 | ','(p(T95, X161), ','(s2t(X161, X162), tapplast(node(X162, X163, X162), T13, T14))), SCOPE: 8, CLAUSE: 22\n\nT95 is ground\nX162 is free; \nX163 is free; \nX161 is free; \ns2t(T95, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
36 [label="36: ','(p(T95, X161), ','(s2t(X161, X162), tapplast(node(X162, X163, X162), T13, T14))), SCOPE: 8, CLAUSE: 22\n\nT95 is ground\nX162 is free; \nX163 is free; \nX161 is free; \ns2t(T95, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
37 [label="37: ','(s2t(T98, X162), tapplast(node(X162, X163, X162), T13, T14))\n\nT98 is ground\nX162 is free; \nX163 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
38 [label="38: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
39 [label="39: s2t(T98, X162)\n\nT98 is ground\nX162 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
40 [label="40: tapplast(node(T99, X163, T99), T13, T14)\n\nX163 is free", fontsize=16, style=filled, fillcolor=lightyellow];
41 [label="41: s2t(T98, X162), SCOPE: 9, CLAUSE: 10 | s2t(T98, X162), SCOPE: 9, CLAUSE: 11 | s2t(T98, X162), SCOPE: 9, CLAUSE: 12 | s2t(T98, X162), SCOPE: 9, CLAUSE: 13 | s2t(T98, X162), SCOPE: 9, CLAUSE: 14\n\nT98 is ground\nX162 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
42 [label="42: ','(!_9, eq(X179, nil)) | s2t(0, X162), SCOPE: 9, CLAUSE: 11 | s2t(0, X162), SCOPE: 9, CLAUSE: 12 | s2t(0, X162), SCOPE: 9, CLAUSE: 13 | s2t(0, X162), SCOPE: 9, CLAUSE: 14\n\nX162 is free\nX179 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
43 [label="43: s2t(T98, X162), SCOPE: 9, CLAUSE: 11 | s2t(T98, X162), SCOPE: 9, CLAUSE: 12 | s2t(T98, X162), SCOPE: 9, CLAUSE: 13 | s2t(T98, X162), SCOPE: 9, CLAUSE: 14\n\nT98 is ground\nX162 is free; \ns2t(T98, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
44 [label="44: eq(X179, nil)\n\nX179 is free", fontsize=16, style=filled, fillcolor=lightyellow];
45 [label="45: eq(X179, nil), SCOPE: 10, CLAUSE: 23\n\nX179 is free", fontsize=16, style=filled, fillcolor=lightyellow];
46 [label="46: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
47 [label="47: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
48 [label="48: s2t(T98, X162), SCOPE: 9, CLAUSE: 11\n\nT98 is ground\nX162 is free; \ns2t(T98, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
49 [label="49: s2t(T98, X162), SCOPE: 9, CLAUSE: 12 | s2t(T98, X162), SCOPE: 9, CLAUSE: 13 | s2t(T98, X162), SCOPE: 9, CLAUSE: 14\n\nT98 is ground\nX162 is free; \ns2t(T98, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
50 [label="50: ','(p(T104, X216), s2t(X216, X217))\n\nT104 is ground\nX217 is free; \nX216 is free; \ns2t(T104, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
51 [label="51: ','(p(T104, X216), s2t(X216, X217)), SCOPE: 11, CLAUSE: 21 | ','(p(T104, X216), s2t(X216, X217)), SCOPE: 11, CLAUSE: 22\n\nT104 is ground\nX217 is free; \nX216 is free; \ns2t(T104, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
52 [label="52: ','(p(T104, X216), s2t(X216, X217)), SCOPE: 11, CLAUSE: 22\n\nT104 is ground\nX217 is free; \nX216 is free; \ns2t(T104, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
53 [label="53: s2t(T107, X217)\n\nT107 is ground\nX217 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
54 [label="54: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
55 [label="55: s2t(T98, X162), SCOPE: 9, CLAUSE: 12\n\nT98 is ground\nX162 is free; \ns2t(T98, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
56 [label="56: s2t(T98, X162), SCOPE: 9, CLAUSE: 13 | s2t(T98, X162), SCOPE: 9, CLAUSE: 14\n\nT98 is ground\nX162 is free; \ns2t(T98, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
57 [label="57: ','(p(T112, X256), s2t(X256, X258))\n\nT112 is ground\nX258 is free; \nX256 is free; \ns2t(T112, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
58 [label="58: ','(p(T112, X256), s2t(X256, X258)), SCOPE: 12, CLAUSE: 21 | ','(p(T112, X256), s2t(X256, X258)), SCOPE: 12, CLAUSE: 22\n\nT112 is ground\nX258 is free; \nX256 is free; \ns2t(T112, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
59 [label="59: ','(p(T112, X256), s2t(X256, X258)), SCOPE: 12, CLAUSE: 22\n\nT112 is ground\nX258 is free; \nX256 is free; \ns2t(T112, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
60 [label="60: s2t(T115, X258)\n\nT115 is ground\nX258 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
61 [label="61: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
62 [label="62: s2t(T98, X162), SCOPE: 9, CLAUSE: 13\n\nT98 is ground\nX162 is free; \ns2t(T98, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
63 [label="63: s2t(T98, X162), SCOPE: 9, CLAUSE: 14\n\nT98 is ground\nX162 is free; \ns2t(T98, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
64 [label="64: ','(p(T120, X296), s2t(X296, X297))\n\nT120 is ground\nX297 is free; \nX296 is free; \ns2t(T120, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
65 [label="65: ','(p(T120, X296), s2t(X296, X297)), SCOPE: 13, CLAUSE: 21 | ','(p(T120, X296), s2t(X296, X297)), SCOPE: 13, CLAUSE: 22\n\nT120 is ground\nX297 is free; \nX296 is free; \ns2t(T120, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
66 [label="66: ','(p(T120, X296), s2t(X296, X297)), SCOPE: 13, CLAUSE: 22\n\nT120 is ground\nX297 is free; \nX296 is free; \ns2t(T120, X162) !=? s2t(0, X178)", fontsize=16, style=filled, fillcolor=lightyellow];
67 [label="67: s2t(T123, X297)\n\nT123 is ground\nX297 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
68 [label="68: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
69 [label="69: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
70 [label="70: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
71 [label="71: tapplast(node(T99, X163, T99), T13, T14), SCOPE: 14, CLAUSE: 1\n\nX163 is free", fontsize=16, style=filled, fillcolor=lightyellow];
72 [label="72: ','(tappend(node(T144, X343, T144), node(nil, T145, nil), X342), tlast(T146, X342))\n\nX343 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
73 [label="73: tappend(node(T144, X343, T144), node(nil, T145, nil), X342)\n\nX343 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
74 [label="74: tlast(T151, T150)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
75 [label="75: tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 5 | tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 6 | tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 7 | tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 8 | tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 9\n\nX343 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
76 [label="76: tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 6 | tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 7 | tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 8 | tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 9\n\nX343 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
77 [label="77: tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 6\n\nX343 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
78 [label="78: tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 7 | tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 8 | tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 9\n\nX343 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
79 [label="79: ','(left(node(T166, X396, T166), nil), ','(right(node(T166, X396, T166), X398), value(node(T166, X396, T166), X397)))\n\nX396 is free\nX397 is free; \nX398 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
80 [label="80: ','(left(node(T166, X396, T166), nil), ','(right(node(T166, X396, T166), X398), value(node(T166, X396, T166), X397))), SCOPE: 16, CLAUSE: 15 | ','(left(node(T166, X396, T166), nil), ','(right(node(T166, X396, T166), X398), value(node(T166, X396, T166), X397))), SCOPE: 16, CLAUSE: 16\n\nX396 is free\nX397 is free; \nX398 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
81 [label="81: ','(left(node(T166, X396, T166), nil), ','(right(node(T166, X396, T166), X398), value(node(T166, X396, T166), X397))), SCOPE: 16, CLAUSE: 16\n\nX396 is free\nX397 is free; \nX398 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
82 [label="82: ','(right(node(nil, X410, nil), X398), value(node(nil, X410, nil), X397))\n\nX397 is free\nX398 is free; \nX410 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
83 [label="83: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
84 [label="84: ','(right(node(nil, X410, nil), X398), value(node(nil, X410, nil), X397)), SCOPE: 17, CLAUSE: 17 | ','(right(node(nil, X410, nil), X398), value(node(nil, X410, nil), X397)), SCOPE: 17, CLAUSE: 18\n\nX397 is free\nX398 is free; \nX410 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
85 [label="85: ','(right(node(nil, X410, nil), X398), value(node(nil, X410, nil), X397)), SCOPE: 17, CLAUSE: 18\n\nX397 is free\nX398 is free; \nX410 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
86 [label="86: value(node(nil, X425, nil), X397)\n\nX397 is free\nX425 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
87 [label="87: value(node(nil, X425, nil), X397), SCOPE: 18, CLAUSE: 19 | value(node(nil, X425, nil), X397), SCOPE: 18, CLAUSE: 20\n\nX397 is free\nX425 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
88 [label="88: value(node(nil, X425, nil), X397), SCOPE: 18, CLAUSE: 20\n\nX397 is free\nX425 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
89 [label="89: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
90 [label="90: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
91 [label="91: tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 7\n\nX343 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
92 [label="92: tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 8 | tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 9\n\nX343 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
93 [label="93: ','(left(node(T182, X470, T182), X471), ','(right(node(T182, X470, T182), nil), value(node(T182, X470, T182), X472)))\n\nX470 is free\nX471 is free; \nX472 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
94 [label="94: ','(left(node(T182, X470, T182), X471), ','(right(node(T182, X470, T182), nil), value(node(T182, X470, T182), X472))), SCOPE: 19, CLAUSE: 15 | ','(left(node(T182, X470, T182), X471), ','(right(node(T182, X470, T182), nil), value(node(T182, X470, T182), X472))), SCOPE: 19, CLAUSE: 16\n\nX470 is free\nX471 is free; \nX472 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
95 [label="95: ','(left(node(T182, X470, T182), X471), ','(right(node(T182, X470, T182), nil), value(node(T182, X470, T182), X472))), SCOPE: 19, CLAUSE: 16\n\nX470 is free\nX471 is free; \nX472 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
96 [label="96: ','(right(node(T187, X484, T187), nil), value(node(T187, X484, T187), X472))\n\nX472 is free\nX484 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
97 [label="97: ','(right(node(T187, X484, T187), nil), value(node(T187, X484, T187), X472)), SCOPE: 20, CLAUSE: 17 | ','(right(node(T187, X484, T187), nil), value(node(T187, X484, T187), X472)), SCOPE: 20, CLAUSE: 18\n\nX472 is free\nX484 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
98 [label="98: ','(right(node(T187, X484, T187), nil), value(node(T187, X484, T187), X472)), SCOPE: 20, CLAUSE: 18\n\nX472 is free\nX484 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
99 [label="99: value(node(nil, X496, nil), X472)\n\nX472 is free\nX496 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
100 [label="100: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
101 [label="101: value(node(nil, X496, nil), X472), SCOPE: 21, CLAUSE: 19 | value(node(nil, X496, nil), X472), SCOPE: 21, CLAUSE: 20\n\nX472 is free\nX496 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
102 [label="102: value(node(nil, X496, nil), X472), SCOPE: 21, CLAUSE: 20\n\nX472 is free\nX496 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
103 [label="103: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
104 [label="104: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
105 [label="105: tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 8\n\nX343 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
106 [label="106: tappend(node(T144, X343, T144), node(nil, T145, nil), X342), SCOPE: 15, CLAUSE: 9\n\nX343 is free\nX342 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
107 [label="107: ','(left(node(T207, X562, T207), X561), ','(right(node(T207, X562, T207), X565), ','(value(node(T207, X562, T207), X564), tappend(X561, node(nil, T208, nil), X563))))\n\nX562 is free\nX563 is free; \nX564 is free; \nX565 is free; \nX561 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
108 [label="108: ','(left(node(T207, X562, T207), X561), ','(right(node(T207, X562, T207), X565), ','(value(node(T207, X562, T207), X564), tappend(X561, node(nil, T208, nil), X563)))), SCOPE: 22, CLAUSE: 15 | ','(left(node(T207, X562, T207), X561), ','(right(node(T207, X562, T207), X565), ','(value(node(T207, X562, T207), X564), tappend(X561, node(nil, T208, nil), X563)))), SCOPE: 22, CLAUSE: 16\n\nX562 is free\nX563 is free; \nX564 is free; \nX565 is free; \nX561 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
109 [label="109: ','(left(node(T207, X562, T207), X561), ','(right(node(T207, X562, T207), X565), ','(value(node(T207, X562, T207), X564), tappend(X561, node(nil, T208, nil), X563)))), SCOPE: 22, CLAUSE: 16\n\nX562 is free\nX563 is free; \nX564 is free; \nX565 is free; \nX561 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
110 [label="110: ','(right(node(T216, X583, T216), X565), ','(value(node(T216, X583, T216), X564), tappend(T216, node(nil, T217, nil), X563)))\n\nX563 is free\nX564 is free; \nX565 is free; \nX583 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
111 [label="111: ','(right(node(T216, X583, T216), X565), ','(value(node(T216, X583, T216), X564), tappend(T216, node(nil, T217, nil), X563))), SCOPE: 23, CLAUSE: 17 | ','(right(node(T216, X583, T216), X565), ','(value(node(T216, X583, T216), X564), tappend(T216, node(nil, T217, nil), X563))), SCOPE: 23, CLAUSE: 18\n\nX563 is free\nX564 is free; \nX565 is free; \nX583 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
112 [label="112: ','(right(node(T216, X583, T216), X565), ','(value(node(T216, X583, T216), X564), tappend(T216, node(nil, T217, nil), X563))), SCOPE: 23, CLAUSE: 18\n\nX563 is free\nX564 is free; \nX565 is free; \nX583 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
113 [label="113: ','(value(node(T225, X601, T225), X564), tappend(T225, node(nil, T226, nil), X563))\n\nX563 is free\nX564 is free; \nX601 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
114 [label="114: ','(value(node(T225, X601, T225), X564), tappend(T225, node(nil, T226, nil), X563)), SCOPE: 24, CLAUSE: 19 | ','(value(node(T225, X601, T225), X564), tappend(T225, node(nil, T226, nil), X563)), SCOPE: 24, CLAUSE: 20\n\nX563 is free\nX564 is free; \nX601 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
115 [label="115: ','(value(node(T225, X601, T225), X564), tappend(T225, node(nil, T226, nil), X563)), SCOPE: 24, CLAUSE: 20\n\nX563 is free\nX564 is free; \nX601 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
116 [label="116: tappend(T234, node(nil, T235, nil), X563)\n\nX563 is free", fontsize=16, style=filled, fillcolor=lightyellow];
117 [label="117: tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 5 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 6 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 7 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 8 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 9\n\nX563 is free", fontsize=16, style=filled, fillcolor=lightyellow];
118 [label="118: ','(!_25, eq(node(nil, T240, nil), X631)) | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 6 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 7 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 8 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 9\n\nX563 is free\nX631 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
119 [label="119: tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 6 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 7 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 8 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 9\n\nX563 is free\ntappend(T234, node(nil, T235, nil), X563) !=? tappend(nil, X629, X630)", fontsize=16, style=filled, fillcolor=lightyellow];
120 [label="120: eq(node(nil, T240, nil), X631)\n\nX631 is free", fontsize=16, style=filled, fillcolor=lightyellow];
121 [label="121: eq(node(nil, T240, nil), X631), SCOPE: 26, CLAUSE: 23\n\nX631 is free", fontsize=16, style=filled, fillcolor=lightyellow];
122 [label="122: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
123 [label="123: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
124 [label="124: tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 6\n\nX563 is free\ntappend(T234, node(nil, T235, nil), X563) !=? tappend(nil, X629, X630)", fontsize=16, style=filled, fillcolor=lightyellow];
125 [label="125: tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 7 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 8 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 9\n\nX563 is free\ntappend(T234, node(nil, T235, nil), X563) !=? tappend(nil, X629, X630)", fontsize=16, style=filled, fillcolor=lightyellow];
126 [label="126: ','(left(T256, nil), ','(right(T256, X666), value(T256, X665)))\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
127 [label="127: ','(left(T256, nil), ','(right(T256, X666), value(T256, X665))), SCOPE: 27, CLAUSE: 15 | ','(left(T256, nil), ','(right(T256, X666), value(T256, X665))), SCOPE: 27, CLAUSE: 16\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
128 [label="128: ','(left(T256, nil), ','(right(T256, X666), value(T256, X665))), SCOPE: 27, CLAUSE: 15\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
129 [label="129: ','(left(T256, nil), ','(right(T256, X666), value(T256, X665))), SCOPE: 27, CLAUSE: 16\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
130 [label="130: ','(right(nil, X666), value(nil, X665))\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
131 [label="131: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
132 [label="132: ','(right(nil, X666), value(nil, X665)), SCOPE: 28, CLAUSE: 17 | ','(right(nil, X666), value(nil, X665)), SCOPE: 28, CLAUSE: 18\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
133 [label="133: ','(right(nil, X666), value(nil, X665)), SCOPE: 28, CLAUSE: 17\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
134 [label="134: ','(right(nil, X666), value(nil, X665)), SCOPE: 28, CLAUSE: 18\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
135 [label="135: value(nil, X665)\n\nX665 is free", fontsize=16, style=filled, fillcolor=lightyellow];
136 [label="136: value(nil, X665), SCOPE: 29, CLAUSE: 19 | value(nil, X665), SCOPE: 29, CLAUSE: 20\n\nX665 is free", fontsize=16, style=filled, fillcolor=lightyellow];
137 [label="137: value(nil, X665), SCOPE: 29, CLAUSE: 19\n\nX665 is free", fontsize=16, style=filled, fillcolor=lightyellow];
138 [label="138: value(nil, X665), SCOPE: 29, CLAUSE: 20\n\nX665 is free", fontsize=16, style=filled, fillcolor=lightyellow];
139 [label="139: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
140 [label="140: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
141 [label="141: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
142 [label="142: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
143 [label="143: ','(right(node(nil, T266, T267), X666), value(node(nil, T266, T267), X665))\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
144 [label="144: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
145 [label="145: ','(right(node(nil, T266, T267), X666), value(node(nil, T266, T267), X665)), SCOPE: 30, CLAUSE: 17 | ','(right(node(nil, T266, T267), X666), value(node(nil, T266, T267), X665)), SCOPE: 30, CLAUSE: 18\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
146 [label="146: ','(right(node(nil, T266, T267), X666), value(node(nil, T266, T267), X665)), SCOPE: 30, CLAUSE: 18\n\nX665 is free\nX666 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
147 [label="147: value(node(nil, T276, T277), X665)\n\nX665 is free", fontsize=16, style=filled, fillcolor=lightyellow];
148 [label="148: value(node(nil, T276, T277), X665), SCOPE: 31, CLAUSE: 19 | value(node(nil, T276, T277), X665), SCOPE: 31, CLAUSE: 20\n\nX665 is free", fontsize=16, style=filled, fillcolor=lightyellow];
149 [label="149: value(node(nil, T276, T277), X665), SCOPE: 31, CLAUSE: 20\n\nX665 is free", fontsize=16, style=filled, fillcolor=lightyellow];
150 [label="150: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
151 [label="151: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
152 [label="152: tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 7\n\nX563 is free\ntappend(T234, node(nil, T235, nil), X563) !=? tappend(nil, X629, X630)", fontsize=16, style=filled, fillcolor=lightyellow];
153 [label="153: tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 8 | tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 9\n\nX563 is free\ntappend(T234, node(nil, T235, nil), X563) !=? tappend(nil, X629, X630)", fontsize=16, style=filled, fillcolor=lightyellow];
154 [label="154: ','(left(T296, X731), ','(right(T296, nil), value(T296, X732)))\n\nX731 is free\nX732 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
155 [label="155: ','(left(T296, X731), ','(right(T296, nil), value(T296, X732))), SCOPE: 32, CLAUSE: 15 | ','(left(T296, X731), ','(right(T296, nil), value(T296, X732))), SCOPE: 32, CLAUSE: 16\n\nX731 is free\nX732 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
156 [label="156: ','(left(T296, X731), ','(right(T296, nil), value(T296, X732))), SCOPE: 32, CLAUSE: 15\n\nX731 is free\nX732 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
157 [label="157: ','(left(T296, X731), ','(right(T296, nil), value(T296, X732))), SCOPE: 32, CLAUSE: 16\n\nX731 is free\nX732 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
158 [label="158: ','(right(nil, nil), value(nil, X732))\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
159 [label="159: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
160 [label="160: ','(right(nil, nil), value(nil, X732)), SCOPE: 33, CLAUSE: 17 | ','(right(nil, nil), value(nil, X732)), SCOPE: 33, CLAUSE: 18\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
161 [label="161: ','(right(nil, nil), value(nil, X732)), SCOPE: 33, CLAUSE: 17\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
162 [label="162: ','(right(nil, nil), value(nil, X732)), SCOPE: 33, CLAUSE: 18\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
163 [label="163: value(nil, X732)\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
164 [label="164: value(nil, X732), SCOPE: 34, CLAUSE: 19 | value(nil, X732), SCOPE: 34, CLAUSE: 20\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
165 [label="165: value(nil, X732), SCOPE: 34, CLAUSE: 19\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
166 [label="166: value(nil, X732), SCOPE: 34, CLAUSE: 20\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
167 [label="167: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
168 [label="168: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
169 [label="169: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
170 [label="170: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
171 [label="171: ','(right(node(T306, T307, T308), nil), value(node(T306, T307, T308), X732))\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
172 [label="172: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
173 [label="173: ','(right(node(T306, T307, T308), nil), value(node(T306, T307, T308), X732)), SCOPE: 35, CLAUSE: 17 | ','(right(node(T306, T307, T308), nil), value(node(T306, T307, T308), X732)), SCOPE: 35, CLAUSE: 18\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
174 [label="174: ','(right(node(T306, T307, T308), nil), value(node(T306, T307, T308), X732)), SCOPE: 35, CLAUSE: 18\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
175 [label="175: value(node(T318, T319, nil), X732)\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
176 [label="176: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
177 [label="177: value(node(T318, T319, nil), X732), SCOPE: 36, CLAUSE: 19 | value(node(T318, T319, nil), X732), SCOPE: 36, CLAUSE: 20\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
178 [label="178: value(node(T318, T319, nil), X732), SCOPE: 36, CLAUSE: 20\n\nX732 is free", fontsize=16, style=filled, fillcolor=lightyellow];
179 [label="179: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
180 [label="180: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
181 [label="181: tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 8\n\nX563 is free\ntappend(T234, node(nil, T235, nil), X563) !=? tappend(nil, X629, X630)", fontsize=16, style=filled, fillcolor=lightyellow];
182 [label="182: tappend(T234, node(nil, T235, nil), X563), SCOPE: 25, CLAUSE: 9\n\nX563 is free\ntappend(T234, node(nil, T235, nil), X563) !=? tappend(nil, X629, X630)", fontsize=16, style=filled, fillcolor=lightyellow];
183 [label="183: ','(left(T342, X817), ','(right(T342, X820), ','(value(T342, X819), tappend(X817, node(nil, T343, nil), X818))))\n\nX818 is free\nX819 is free; \nX820 is free; \nX817 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
184 [label="184: ','(left(T342, X817), ','(right(T342, X820), ','(value(T342, X819), tappend(X817, node(nil, T343, nil), X818)))), SCOPE: 37, CLAUSE: 15 | ','(left(T342, X817), ','(right(T342, X820), ','(value(T342, X819), tappend(X817, node(nil, T343, nil), X818)))), SCOPE: 37, CLAUSE: 16\n\nX818 is free\nX819 is free; \nX820 is free; \nX817 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
185 [label="185: ','(left(T342, X817), ','(right(T342, X820), ','(value(T342, X819), tappend(X817, node(nil, T343, nil), X818)))), SCOPE: 37, CLAUSE: 15\n\nX818 is free\nX819 is free; \nX820 is free; \nX817 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
186 [label="186: ','(left(T342, X817), ','(right(T342, X820), ','(value(T342, X819), tappend(X817, node(nil, T343, nil), X818)))), SCOPE: 37, CLAUSE: 16\n\nX818 is free\nX819 is free; \nX820 is free; \nX817 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
187 [label="187: ','(right(nil, X820), ','(value(nil, X819), tappend(nil, node(nil, T345, nil), X818)))\n\nX818 is free\nX819 is free; \nX820 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
188 [label="188: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
189 [label="189: ','(right(nil, X820), ','(value(nil, X819), tappend(nil, node(nil, T345, nil), X818))), SCOPE: 38, CLAUSE: 17 | ','(right(nil, X820), ','(value(nil, X819), tappend(nil, node(nil, T345, nil), X818))), SCOPE: 38, CLAUSE: 18\n\nX818 is free\nX819 is free; \nX820 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
190 [label="190: ','(right(nil, X820), ','(value(nil, X819), tappend(nil, node(nil, T345, nil), X818))), SCOPE: 38, CLAUSE: 17\n\nX818 is free\nX819 is free; \nX820 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
191 [label="191: ','(right(nil, X820), ','(value(nil, X819), tappend(nil, node(nil, T345, nil), X818))), SCOPE: 38, CLAUSE: 18\n\nX818 is free\nX819 is free; \nX820 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
192 [label="192: ','(value(nil, X819), tappend(nil, node(nil, T345, nil), X818))\n\nX818 is free\nX819 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
193 [label="193: ','(value(nil, X819), tappend(nil, node(nil, T345, nil), X818)), SCOPE: 39, CLAUSE: 19 | ','(value(nil, X819), tappend(nil, node(nil, T345, nil), X818)), SCOPE: 39, CLAUSE: 20\n\nX818 is free\nX819 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
194 [label="194: ','(value(nil, X819), tappend(nil, node(nil, T345, nil), X818)), SCOPE: 39, CLAUSE: 19\n\nX818 is free\nX819 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
195 [label="195: ','(value(nil, X819), tappend(nil, node(nil, T345, nil), X818)), SCOPE: 39, CLAUSE: 20\n\nX818 is free\nX819 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
196 [label="196: tappend(nil, node(nil, T345, nil), X818)\n\nX818 is free", fontsize=16, style=filled, fillcolor=lightyellow];
197 [label="197: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
198 [label="198: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
199 [label="199: ','(right(node(T362, T363, T364), X820), ','(value(node(T362, T363, T364), X819), tappend(T362, node(nil, T365, nil), X818)))\n\nX818 is free\nX819 is free; \nX820 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
200 [label="200: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
201 [label="201: ','(right(node(T362, T363, T364), X820), ','(value(node(T362, T363, T364), X819), tappend(T362, node(nil, T365, nil), X818))), SCOPE: 40, CLAUSE: 17 | ','(right(node(T362, T363, T364), X820), ','(value(node(T362, T363, T364), X819), tappend(T362, node(nil, T365, nil), X818))), SCOPE: 40, CLAUSE: 18\n\nX818 is free\nX819 is free; \nX820 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
202 [label="202: ','(right(node(T362, T363, T364), X820), ','(value(node(T362, T363, T364), X819), tappend(T362, node(nil, T365, nil), X818))), SCOPE: 40, CLAUSE: 18\n\nX818 is free\nX819 is free; \nX820 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
203 [label="203: ','(value(node(T381, T382, T383), X819), tappend(T381, node(nil, T384, nil), X818))\n\nX818 is free\nX819 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
204 [label="204: ','(value(node(T381, T382, T383), X819), tappend(T381, node(nil, T384, nil), X818)), SCOPE: 41, CLAUSE: 19 | ','(value(node(T381, T382, T383), X819), tappend(T381, node(nil, T384, nil), X818)), SCOPE: 41, CLAUSE: 20\n\nX818 is free\nX819 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
205 [label="205: ','(value(node(T381, T382, T383), X819), tappend(T381, node(nil, T384, nil), X818)), SCOPE: 41, CLAUSE: 20\n\nX818 is free\nX819 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
206 [label="206: tappend(T398, node(nil, T399, nil), X818)\n\nX818 is free", fontsize=16, style=filled, fillcolor=lightyellow];
207 [label="207: ','(left(T409, node(nil, T410, nil)), ','(right(T409, X918), ','(value(T409, X920), tappend(X918, X919, X921))))\n\nX920 is free\nX921 is free; \nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
208 [label="208: ','(left(T409, node(nil, T410, nil)), ','(right(T409, X918), ','(value(T409, X920), tappend(X918, X919, X921)))), SCOPE: 42, CLAUSE: 15 | ','(left(T409, node(nil, T410, nil)), ','(right(T409, X918), ','(value(T409, X920), tappend(X918, X919, X921)))), SCOPE: 42, CLAUSE: 16\n\nX920 is free\nX921 is free; \nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
209 [label="209: ','(left(T409, node(nil, T410, nil)), ','(right(T409, X918), ','(value(T409, X920), tappend(X918, X919, X921)))), SCOPE: 42, CLAUSE: 16\n\nX920 is free\nX921 is free; \nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
210 [label="210: ','(right(node(node(nil, T425, nil), T423, T424), X918), ','(value(node(node(nil, T425, nil), T423, T424), X920), tappend(X918, X919, X921)))\n\nX920 is free\nX921 is free; \nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
211 [label="211: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
212 [label="212: ','(right(node(node(nil, T425, nil), T423, T424), X918), ','(value(node(node(nil, T425, nil), T423, T424), X920), tappend(X918, X919, X921))), SCOPE: 43, CLAUSE: 17 | ','(right(node(node(nil, T425, nil), T423, T424), X918), ','(value(node(node(nil, T425, nil), T423, T424), X920), tappend(X918, X919, X921))), SCOPE: 43, CLAUSE: 18\n\nX920 is free\nX921 is free; \nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
213 [label="213: ','(right(node(node(nil, T425, nil), T423, T424), X918), ','(value(node(node(nil, T425, nil), T423, T424), X920), tappend(X918, X919, X921))), SCOPE: 43, CLAUSE: 18\n\nX920 is free\nX921 is free; \nX918 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
214 [label="214: ','(value(node(node(nil, T440, nil), T438, T439), X920), tappend(T439, X919, X921))\n\nX920 is free\nX921 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
215 [label="215: ','(value(node(node(nil, T440, nil), T438, T439), X920), tappend(T439, X919, X921)), SCOPE: 44, CLAUSE: 19 | ','(value(node(node(nil, T440, nil), T438, T439), X920), tappend(T439, X919, X921)), SCOPE: 44, CLAUSE: 20\n\nX920 is free\nX921 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
216 [label="216: ','(value(node(node(nil, T440, nil), T438, T439), X920), tappend(T439, X919, X921)), SCOPE: 44, CLAUSE: 20\n\nX920 is free\nX921 is free; \nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
217 [label="217: tappend(T451, X919, X921)\n\nX921 is free\nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
218 [label="218: tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 5 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 6 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 7 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 8 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 9\n\nX921 is free\nX919 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
219 [label="219: ','(!_45, eq(X986, X987)) | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 6 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 7 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 8 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 9\n\nX921 is free\nX919 is free; \nX986 is free; \nX987 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
220 [label="220: tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 6 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 7 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 8 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 9\n\nX921 is free\nX919 is free; \ntappend(T451, X919, X921) !=? tappend(nil, X984, X985)", fontsize=16, style=filled, fillcolor=lightyellow];
221 [label="221: eq(X986, X987)\n\nX986 is free\nX987 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
222 [label="222: eq(X986, X987), SCOPE: 46, CLAUSE: 23\n\nX986 is free\nX987 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
223 [label="223: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
224 [label="224: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
225 [label="225: tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 6\n\nX921 is free\nX919 is free; \ntappend(T451, X919, X921) !=? tappend(nil, X984, X985)", fontsize=16, style=filled, fillcolor=lightyellow];
226 [label="226: tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 7 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 8 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 9\n\nX921 is free\nX919 is free; \ntappend(T451, X919, X921) !=? tappend(nil, X984, X985)", fontsize=16, style=filled, fillcolor=lightyellow];
227 [label="227: ','(left(T459, nil), ','(right(T459, X1030), value(T459, X1029)))\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
228 [label="228: ','(left(T459, nil), ','(right(T459, X1030), value(T459, X1029))), SCOPE: 47, CLAUSE: 15 | ','(left(T459, nil), ','(right(T459, X1030), value(T459, X1029))), SCOPE: 47, CLAUSE: 16\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
229 [label="229: ','(left(T459, nil), ','(right(T459, X1030), value(T459, X1029))), SCOPE: 47, CLAUSE: 15\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
230 [label="230: ','(left(T459, nil), ','(right(T459, X1030), value(T459, X1029))), SCOPE: 47, CLAUSE: 16\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
231 [label="231: ','(right(nil, X1030), value(nil, X1029))\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
232 [label="232: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
233 [label="233: ','(right(nil, X1030), value(nil, X1029)), SCOPE: 48, CLAUSE: 17 | ','(right(nil, X1030), value(nil, X1029)), SCOPE: 48, CLAUSE: 18\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
234 [label="234: ','(right(nil, X1030), value(nil, X1029)), SCOPE: 48, CLAUSE: 17\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
235 [label="235: ','(right(nil, X1030), value(nil, X1029)), SCOPE: 48, CLAUSE: 18\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
236 [label="236: value(nil, X1029)\n\nX1029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
237 [label="237: value(nil, X1029), SCOPE: 49, CLAUSE: 19 | value(nil, X1029), SCOPE: 49, CLAUSE: 20\n\nX1029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
238 [label="238: value(nil, X1029), SCOPE: 49, CLAUSE: 19\n\nX1029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
239 [label="239: value(nil, X1029), SCOPE: 49, CLAUSE: 20\n\nX1029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
240 [label="240: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
241 [label="241: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
242 [label="242: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
243 [label="243: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
244 [label="244: ','(right(node(nil, T469, T470), X1030), value(node(nil, T469, T470), X1029))\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
245 [label="245: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
246 [label="246: ','(right(node(nil, T469, T470), X1030), value(node(nil, T469, T470), X1029)), SCOPE: 50, CLAUSE: 17 | ','(right(node(nil, T469, T470), X1030), value(node(nil, T469, T470), X1029)), SCOPE: 50, CLAUSE: 18\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
247 [label="247: ','(right(node(nil, T469, T470), X1030), value(node(nil, T469, T470), X1029)), SCOPE: 50, CLAUSE: 18\n\nX1029 is free\nX1030 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
248 [label="248: value(node(nil, T479, T480), X1029)\n\nX1029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
249 [label="249: value(node(nil, T479, T480), X1029), SCOPE: 51, CLAUSE: 19 | value(node(nil, T479, T480), X1029), SCOPE: 51, CLAUSE: 20\n\nX1029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
250 [label="250: value(node(nil, T479, T480), X1029), SCOPE: 51, CLAUSE: 20\n\nX1029 is free", fontsize=16, style=filled, fillcolor=lightyellow];
251 [label="251: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
252 [label="252: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
253 [label="253: tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 7\n\nX921 is free\nX919 is free; \ntappend(T451, X919, X921) !=? tappend(nil, X984, X985)", fontsize=16, style=filled, fillcolor=lightyellow];
254 [label="254: tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 8 | tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 9\n\nX921 is free\nX919 is free; \ntappend(T451, X919, X921) !=? tappend(nil, X984, X985)", fontsize=16, style=filled, fillcolor=lightyellow];
255 [label="255: ','(left(T494, X1100), ','(right(T494, nil), value(T494, X1101)))\n\nX1100 is free\nX1101 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
256 [label="256: ','(left(T494, X1100), ','(right(T494, nil), value(T494, X1101))), SCOPE: 52, CLAUSE: 15 | ','(left(T494, X1100), ','(right(T494, nil), value(T494, X1101))), SCOPE: 52, CLAUSE: 16\n\nX1100 is free\nX1101 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
257 [label="257: ','(left(T494, X1100), ','(right(T494, nil), value(T494, X1101))), SCOPE: 52, CLAUSE: 15\n\nX1100 is free\nX1101 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
258 [label="258: ','(left(T494, X1100), ','(right(T494, nil), value(T494, X1101))), SCOPE: 52, CLAUSE: 16\n\nX1100 is free\nX1101 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
259 [label="259: ','(right(nil, nil), value(nil, X1101))\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
260 [label="260: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
261 [label="261: ','(right(nil, nil), value(nil, X1101)), SCOPE: 53, CLAUSE: 17 | ','(right(nil, nil), value(nil, X1101)), SCOPE: 53, CLAUSE: 18\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
262 [label="262: ','(right(nil, nil), value(nil, X1101)), SCOPE: 53, CLAUSE: 17\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
263 [label="263: ','(right(nil, nil), value(nil, X1101)), SCOPE: 53, CLAUSE: 18\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
264 [label="264: value(nil, X1101)\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
265 [label="265: value(nil, X1101), SCOPE: 54, CLAUSE: 19 | value(nil, X1101), SCOPE: 54, CLAUSE: 20\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
266 [label="266: value(nil, X1101), SCOPE: 54, CLAUSE: 19\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
267 [label="267: value(nil, X1101), SCOPE: 54, CLAUSE: 20\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
268 [label="268: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
269 [label="269: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
270 [label="270: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
271 [label="271: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
272 [label="272: ','(right(node(T504, T505, T506), nil), value(node(T504, T505, T506), X1101))\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
273 [label="273: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
274 [label="274: ','(right(node(T504, T505, T506), nil), value(node(T504, T505, T506), X1101)), SCOPE: 55, CLAUSE: 17 | ','(right(node(T504, T505, T506), nil), value(node(T504, T505, T506), X1101)), SCOPE: 55, CLAUSE: 18\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
275 [label="275: ','(right(node(T504, T505, T506), nil), value(node(T504, T505, T506), X1101)), SCOPE: 55, CLAUSE: 18\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
276 [label="276: value(node(T516, T517, nil), X1101)\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
277 [label="277: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
278 [label="278: value(node(T516, T517, nil), X1101), SCOPE: 56, CLAUSE: 19 | value(node(T516, T517, nil), X1101), SCOPE: 56, CLAUSE: 20\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
279 [label="279: value(node(T516, T517, nil), X1101), SCOPE: 56, CLAUSE: 20\n\nX1101 is free", fontsize=16, style=filled, fillcolor=lightyellow];
280 [label="280: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
281 [label="281: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
282 [label="282: tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 8\n\nX921 is free\nX919 is free; \ntappend(T451, X919, X921) !=? tappend(nil, X984, X985)", fontsize=16, style=filled, fillcolor=lightyellow];
283 [label="283: tappend(T451, X919, X921), SCOPE: 45, CLAUSE: 9\n\nX921 is free\nX919 is free; \ntappend(T451, X919, X921) !=? tappend(nil, X984, X985)", fontsize=16, style=filled, fillcolor=lightyellow];
284 [label="284: ','(left(T531, X1192), ','(right(T531, X1196), ','(value(T531, X1195), tappend(X1192, X1193, X1194))))\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; \nX1192 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
285 [label="285: ','(left(T531, X1192), ','(right(T531, X1196), ','(value(T531, X1195), tappend(X1192, X1193, X1194)))), SCOPE: 57, CLAUSE: 15 | ','(left(T531, X1192), ','(right(T531, X1196), ','(value(T531, X1195), tappend(X1192, X1193, X1194)))), SCOPE: 57, CLAUSE: 16\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; \nX1192 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
286 [label="286: ','(left(T531, X1192), ','(right(T531, X1196), ','(value(T531, X1195), tappend(X1192, X1193, X1194)))), SCOPE: 57, CLAUSE: 15\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; \nX1192 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
287 [label="287: ','(left(T531, X1192), ','(right(T531, X1196), ','(value(T531, X1195), tappend(X1192, X1193, X1194)))), SCOPE: 57, CLAUSE: 16\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; \nX1192 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
288 [label="288: ','(right(nil, X1196), ','(value(nil, X1195), tappend(nil, X1193, X1194)))\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
289 [label="289: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
290 [label="290: ','(right(nil, X1196), ','(value(nil, X1195), tappend(nil, X1193, X1194))), SCOPE: 58, CLAUSE: 17 | ','(right(nil, X1196), ','(value(nil, X1195), tappend(nil, X1193, X1194))), SCOPE: 58, CLAUSE: 18\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
291 [label="291: ','(right(nil, X1196), ','(value(nil, X1195), tappend(nil, X1193, X1194))), SCOPE: 58, CLAUSE: 17\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
292 [label="292: ','(right(nil, X1196), ','(value(nil, X1195), tappend(nil, X1193, X1194))), SCOPE: 58, CLAUSE: 18\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
293 [label="293: ','(value(nil, X1195), tappend(nil, X1193, X1194))\n\nX1193 is free\nX1194 is free; \nX1195 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
294 [label="294: ','(value(nil, X1195), tappend(nil, X1193, X1194)), SCOPE: 59, CLAUSE: 19 | ','(value(nil, X1195), tappend(nil, X1193, X1194)), SCOPE: 59, CLAUSE: 20\n\nX1193 is free\nX1194 is free; \nX1195 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
295 [label="295: ','(value(nil, X1195), tappend(nil, X1193, X1194)), SCOPE: 59, CLAUSE: 19\n\nX1193 is free\nX1194 is free; \nX1195 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
296 [label="296: ','(value(nil, X1195), tappend(nil, X1193, X1194)), SCOPE: 59, CLAUSE: 20\n\nX1193 is free\nX1194 is free; \nX1195 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
297 [label="297: tappend(nil, X1193, X1194)\n\nX1193 is free\nX1194 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
298 [label="298: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
299 [label="299: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
300 [label="300: ','(right(node(T541, T542, T543), X1196), ','(value(node(T541, T542, T543), X1195), tappend(T541, X1193, X1194)))\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
301 [label="301: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
302 [label="302: ','(right(node(T541, T542, T543), X1196), ','(value(node(T541, T542, T543), X1195), tappend(T541, X1193, X1194))), SCOPE: 60, CLAUSE: 17 | ','(right(node(T541, T542, T543), X1196), ','(value(node(T541, T542, T543), X1195), tappend(T541, X1193, X1194))), SCOPE: 60, CLAUSE: 18\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
303 [label="303: ','(right(node(T541, T542, T543), X1196), ','(value(node(T541, T542, T543), X1195), tappend(T541, X1193, X1194))), SCOPE: 60, CLAUSE: 18\n\nX1193 is free\nX1194 is free; \nX1195 is free; \nX1196 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
304 [label="304: ','(value(node(T556, T557, T558), X1195), tappend(T556, X1193, X1194))\n\nX1193 is free\nX1194 is free; \nX1195 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
305 [label="305: ','(value(node(T556, T557, T558), X1195), tappend(T556, X1193, X1194)), SCOPE: 61, CLAUSE: 19 | ','(value(node(T556, T557, T558), X1195), tappend(T556, X1193, X1194)), SCOPE: 61, CLAUSE: 20\n\nX1193 is free\nX1194 is free; \nX1195 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
306 [label="306: ','(value(node(T556, T557, T558), X1195), tappend(T556, X1193, X1194)), SCOPE: 61, CLAUSE: 20\n\nX1193 is free\nX1194 is free; \nX1195 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
307 [label="307: tappend(T569, X1193, X1194)\n\nX1193 is free\nX1194 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
308 [label="308: ','(left(T574, X1311), ','(right(T574, X1309), ','(value(T574, X1312), tappend(X1309, X1310, X1313))))\n\nX1311 is free\nX1312 is free; \nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
309 [label="309: ','(left(T574, X1311), ','(right(T574, X1309), ','(value(T574, X1312), tappend(X1309, X1310, X1313)))), SCOPE: 62, CLAUSE: 15 | ','(left(T574, X1311), ','(right(T574, X1309), ','(value(T574, X1312), tappend(X1309, X1310, X1313)))), SCOPE: 62, CLAUSE: 16\n\nX1311 is free\nX1312 is free; \nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
310 [label="310: ','(left(T574, X1311), ','(right(T574, X1309), ','(value(T574, X1312), tappend(X1309, X1310, X1313)))), SCOPE: 62, CLAUSE: 15\n\nX1311 is free\nX1312 is free; \nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
311 [label="311: ','(left(T574, X1311), ','(right(T574, X1309), ','(value(T574, X1312), tappend(X1309, X1310, X1313)))), SCOPE: 62, CLAUSE: 16\n\nX1311 is free\nX1312 is free; \nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
312 [label="312: ','(right(nil, X1309), ','(value(nil, X1312), tappend(X1309, X1310, X1313)))\n\nX1312 is free\nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
313 [label="313: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
314 [label="314: ','(right(nil, X1309), ','(value(nil, X1312), tappend(X1309, X1310, X1313))), SCOPE: 63, CLAUSE: 17 | ','(right(nil, X1309), ','(value(nil, X1312), tappend(X1309, X1310, X1313))), SCOPE: 63, CLAUSE: 18\n\nX1312 is free\nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
315 [label="315: ','(right(nil, X1309), ','(value(nil, X1312), tappend(X1309, X1310, X1313))), SCOPE: 63, CLAUSE: 17\n\nX1312 is free\nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
316 [label="316: ','(right(nil, X1309), ','(value(nil, X1312), tappend(X1309, X1310, X1313))), SCOPE: 63, CLAUSE: 18\n\nX1312 is free\nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
317 [label="317: ','(value(nil, X1312), tappend(nil, X1310, X1313))\n\nX1312 is free\nX1313 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
318 [label="318: ','(value(nil, X1312), tappend(nil, X1310, X1313)), SCOPE: 64, CLAUSE: 19 | ','(value(nil, X1312), tappend(nil, X1310, X1313)), SCOPE: 64, CLAUSE: 20\n\nX1312 is free\nX1313 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
319 [label="319: ','(value(nil, X1312), tappend(nil, X1310, X1313)), SCOPE: 64, CLAUSE: 19\n\nX1312 is free\nX1313 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
320 [label="320: ','(value(nil, X1312), tappend(nil, X1310, X1313)), SCOPE: 64, CLAUSE: 20\n\nX1312 is free\nX1313 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
321 [label="321: tappend(nil, X1310, X1313)\n\nX1313 is free\nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
322 [label="322: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
323 [label="323: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
324 [label="324: ','(right(node(T584, T585, T586), X1309), ','(value(node(T584, T585, T586), X1312), tappend(X1309, X1310, X1313)))\n\nX1312 is free\nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
325 [label="325: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
326 [label="326: ','(right(node(T584, T585, T586), X1309), ','(value(node(T584, T585, T586), X1312), tappend(X1309, X1310, X1313))), SCOPE: 65, CLAUSE: 17 | ','(right(node(T584, T585, T586), X1309), ','(value(node(T584, T585, T586), X1312), tappend(X1309, X1310, X1313))), SCOPE: 65, CLAUSE: 18\n\nX1312 is free\nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
327 [label="327: ','(right(node(T584, T585, T586), X1309), ','(value(node(T584, T585, T586), X1312), tappend(X1309, X1310, X1313))), SCOPE: 65, CLAUSE: 18\n\nX1312 is free\nX1313 is free; \nX1309 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
328 [label="328: ','(value(node(T599, T600, T601), X1312), tappend(T601, X1310, X1313))\n\nX1312 is free\nX1313 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
329 [label="329: ','(value(node(T599, T600, T601), X1312), tappend(T601, X1310, X1313)), SCOPE: 66, CLAUSE: 19 | ','(value(node(T599, T600, T601), X1312), tappend(T601, X1310, X1313)), SCOPE: 66, CLAUSE: 20\n\nX1312 is free\nX1313 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
330 [label="330: ','(value(node(T599, T600, T601), X1312), tappend(T601, X1310, X1313)), SCOPE: 66, CLAUSE: 20\n\nX1312 is free\nX1313 is free; \nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
331 [label="331: tappend(T612, X1310, X1313)\n\nX1313 is free\nX1310 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
332 [label="332: ','(left(node(T621, X1428, T621), node(nil, T622, nil)), ','(right(node(T621, X1428, T621), X1426), ','(value(node(T621, X1428, T621), X1429), tappend(X1426, X1427, X1430))))\n\nX1428 is free\nX1429 is free; \nX1430 is free; \nX1426 is free; \nX1427 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
333 [label="333: ','(left(node(T621, X1428, T621), node(nil, T622, nil)), ','(right(node(T621, X1428, T621), X1426), ','(value(node(T621, X1428, T621), X1429), tappend(X1426, X1427, X1430)))), SCOPE: 67, CLAUSE: 15 | ','(left(node(T621, X1428, T621), node(nil, T622, nil)), ','(right(node(T621, X1428, T621), X1426), ','(value(node(T621, X1428, T621), X1429), tappend(X1426, X1427, X1430)))), SCOPE: 67, CLAUSE: 16\n\nX1428 is free\nX1429 is free; \nX1430 is free; \nX1426 is free; \nX1427 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
334 [label="334: ','(left(node(T621, X1428, T621), node(nil, T622, nil)), ','(right(node(T621, X1428, T621), X1426), ','(value(node(T621, X1428, T621), X1429), tappend(X1426, X1427, X1430)))), SCOPE: 67, CLAUSE: 16\n\nX1428 is free\nX1429 is free; \nX1430 is free; \nX1426 is free; \nX1427 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
335 [label="335: ','(right(node(node(nil, T629, nil), X1446, node(nil, T629, nil)), X1426), ','(value(node(node(nil, T629, nil), X1446, node(nil, T629, nil)), X1429), tappend(X1426, X1427, X1430)))\n\nX1429 is free\nX1430 is free; \nX1426 is free; \nX1427 is free; \nX1446 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
336 [label="336: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
337 [label="337: ','(right(node(node(nil, T629, nil), X1446, node(nil, T629, nil)), X1426), ','(value(node(node(nil, T629, nil), X1446, node(nil, T629, nil)), X1429), tappend(X1426, X1427, X1430))), SCOPE: 68, CLAUSE: 17 | ','(right(node(node(nil, T629, nil), X1446, node(nil, T629, nil)), X1426), ','(value(node(node(nil, T629, nil), X1446, node(nil, T629, nil)), X1429), tappend(X1426, X1427, X1430))), SCOPE: 68, CLAUSE: 18\n\nX1429 is free\nX1430 is free; \nX1426 is free; \nX1427 is free; \nX1446 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
338 [label="338: ','(right(node(node(nil, T629, nil), X1446, node(nil, T629, nil)), X1426), ','(value(node(node(nil, T629, nil), X1446, node(nil, T629, nil)), X1429), tappend(X1426, X1427, X1430))), SCOPE: 68, CLAUSE: 18\n\nX1429 is free\nX1430 is free; \nX1426 is free; \nX1427 is free; \nX1446 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
339 [label="339: ','(value(node(node(nil, T635, nil), X1474, node(nil, T635, nil)), X1429), tappend(node(nil, T635, nil), X1427, X1430))\n\nX1429 is free\nX1430 is free; \nX1427 is free; \nX1474 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
340 [label="340: ','(value(node(node(nil, T635, nil), X1474, node(nil, T635, nil)), X1429), tappend(node(nil, T635, nil), X1427, X1430)), SCOPE: 69, CLAUSE: 19 | ','(value(node(node(nil, T635, nil), X1474, node(nil, T635, nil)), X1429), tappend(node(nil, T635, nil), X1427, X1430)), SCOPE: 69, CLAUSE: 20\n\nX1429 is free\nX1430 is free; \nX1427 is free; \nX1474 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
341 [label="341: ','(value(node(node(nil, T635, nil), X1474, node(nil, T635, nil)), X1429), tappend(node(nil, T635, nil), X1427, X1430)), SCOPE: 69, CLAUSE: 20\n\nX1429 is free\nX1430 is free; \nX1427 is free; \nX1474 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
342 [label="342: tappend(node(nil, T642, nil), X1427, X1430)\n\nX1430 is free\nX1427 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
343 [label="343: ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 12\n\nT10 is ground\nX21 is free; \ns2t(T10, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
344 [label="344: ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 13 | ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 14\n\nT10 is ground\nX21 is free; \ns2t(T10, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
345 [label="345: ','(p(T650, X1545), ','(s2t(X1545, X1547), tapplast(node(nil, X1546, X1547), T13, T14)))\n\nT650 is ground\nX1546 is free; \nX1547 is free; \nX1545 is free; \ns2t(T650, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
346 [label="346: ','(p(T650, X1545), ','(s2t(X1545, X1547), tapplast(node(nil, X1546, X1547), T13, T14))), SCOPE: 70, CLAUSE: 21 | ','(p(T650, X1545), ','(s2t(X1545, X1547), tapplast(node(nil, X1546, X1547), T13, T14))), SCOPE: 70, CLAUSE: 22\n\nT650 is ground\nX1546 is free; \nX1547 is free; \nX1545 is free; \ns2t(T650, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
347 [label="347: ','(p(T650, X1545), ','(s2t(X1545, X1547), tapplast(node(nil, X1546, X1547), T13, T14))), SCOPE: 70, CLAUSE: 22\n\nT650 is ground\nX1546 is free; \nX1547 is free; \nX1545 is free; \ns2t(T650, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
348 [label="348: ','(s2t(T653, X1547), tapplast(node(nil, X1546, X1547), T13, T14))\n\nT653 is ground\nX1546 is free; \nX1547 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
349 [label="349: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
350 [label="350: s2t(T653, X1547)\n\nT653 is ground\nX1547 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
351 [label="351: tapplast(node(nil, X1546, T654), T13, T14)\n\nX1546 is free", fontsize=16, style=filled, fillcolor=lightyellow];
352 [label="352: tapplast(node(nil, X1546, T654), T13, T14), SCOPE: 71, CLAUSE: 1\n\nX1546 is free", fontsize=16, style=filled, fillcolor=lightyellow];
353 [label="353: ','(tappend(node(nil, X1585, T672), node(nil, T673, nil), X1584), tlast(T674, X1584))\n\nX1585 is free\nX1584 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
354 [label="354: tappend(node(nil, X1585, T672), node(nil, T673, nil), X1584)\n\nX1585 is free\nX1584 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
355 [label="355: tlast(T679, T678)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
356 [label="356: ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 13\n\nT10 is ground\nX21 is free; \ns2t(T10, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
357 [label="357: ','(s2t(T10, X21), tapplast(X21, T13, T14)), SCOPE: 2, CLAUSE: 14\n\nT10 is ground\nX21 is free; \ns2t(T10, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
358 [label="358: ','(p(T688, X1635), ','(s2t(X1635, X1636), tapplast(node(X1636, X1637, nil), T13, T14)))\n\nT688 is ground\nX1636 is free; \nX1637 is free; \nX1635 is free; \ns2t(T688, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
359 [label="359: ','(p(T688, X1635), ','(s2t(X1635, X1636), tapplast(node(X1636, X1637, nil), T13, T14))), SCOPE: 72, CLAUSE: 21 | ','(p(T688, X1635), ','(s2t(X1635, X1636), tapplast(node(X1636, X1637, nil), T13, T14))), SCOPE: 72, CLAUSE: 22\n\nT688 is ground\nX1636 is free; \nX1637 is free; \nX1635 is free; \ns2t(T688, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
360 [label="360: ','(p(T688, X1635), ','(s2t(X1635, X1636), tapplast(node(X1636, X1637, nil), T13, T14))), SCOPE: 72, CLAUSE: 22\n\nT688 is ground\nX1636 is free; \nX1637 is free; \nX1635 is free; \ns2t(T688, X21) !=? s2t(0, X26)", fontsize=16, style=filled, fillcolor=lightyellow];
361 [label="361: ','(s2t(T691, X1636), tapplast(node(X1636, X1637, nil), T13, T14))\n\nT691 is ground\nX1636 is free; \nX1637 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
362 [label="362: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
363 [label="363: s2t(T691, X1636)\n\nT691 is ground\nX1636 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
364 [label="364: tapplast(node(T692, X1637, nil), T13, T14)\n\nX1637 is free", fontsize=16, style=filled, fillcolor=lightyellow];
365 [label="365: tapplast(node(T692, X1637, nil), T13, T14), SCOPE: 73, CLAUSE: 1\n\nX1637 is free", fontsize=16, style=filled, fillcolor=lightyellow];
366 [label="366: ','(tappend(node(T710, X1675, nil), node(nil, T711, nil), X1674), tlast(T712, X1674))\n\nX1675 is free\nX1674 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
367 [label="367: tappend(node(T710, X1675, nil), node(nil, T711, nil), X1674)\n\nX1675 is free\nX1674 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
368 [label="368: tlast(T717, T716)\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
369 [label="369: tapplast(node(nil, X1709, nil), T13, T14)\n\nX1709 is free", fontsize=16, style=filled, fillcolor=lightyellow];
370 [label="370: tapplast(node(nil, X1709, nil), T13, T14), SCOPE: 74, CLAUSE: 1\n\nX1709 is free", fontsize=16, style=filled, fillcolor=lightyellow];
371 [label="371: ','(tappend(node(nil, X1737, nil), node(nil, T738, nil), X1736), tlast(T739, X1736))\n\nX1737 is free\nX1736 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
372 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1 -> 372 [arrowhead = none ];
372 -> 2;

373 [label="ONLY EVAL with clause\ngoal(X18, X19, X20) :- ','(s2t(X18, X21), tapplast(X21, X19, X20)).\nand substitution\nT4 -> T10\nX18 -> T10\nT5 -> T13\nX19 -> T13\nT6 -> T14\nX20 -> T14\nT11 -> T13\nT12 -> T14", fontsize=14, style = filled, fillcolor = white];
2 -> 373 [arrowhead = none ];
373 -> 3;

374 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3 -> 374 [arrowhead = none ];
374 -> 4;

375 [label="EVAL with clause\ns2t(0, X26) :- ','(!_2, eq(X26, nil)).\nand substitution\nT10 -> 0\nX21 -> X27\nX26 -> X27", fontsize=14, style = filled, fillcolor = lightblue];
4 -> 375 [arrowhead = none ];
375 -> 5;

376 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
4 -> 376 [arrowhead = none ];
376 -> 6;

377 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
5 -> 377 [arrowhead = none ];
377 -> 7;

378 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
6 -> 378 [arrowhead = none ];
378 -> 32;

379 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
6 -> 379 [arrowhead = none ];
379 -> 33;

380 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
7 -> 380 [arrowhead = none ];
380 -> 8;

381 [label="ONLY EVAL with clause\neq(X42, X42).\nand substitution\nX27 -> nil\nX42 -> nil\nX43 -> nil", fontsize=14, style = filled, fillcolor = white];
8 -> 381 [arrowhead = none ];
381 -> 9;

382 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
9 -> 382 [arrowhead = none ];
382 -> 10;

383 [label="ONLY EVAL with clause\ntapplast(X58, X59, X60) :- ','(tappend(X58, node(nil, X59, nil), X61), tlast(X60, X61)).\nand substitution\nX58 -> nil\nT13 -> T30\nX59 -> T30\nT14 -> T31\nX60 -> T31\nT28 -> T30\nT29 -> T31", fontsize=14, style = filled, fillcolor = white];
10 -> 383 [arrowhead = none ];
383 -> 11;

384 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
11 -> 384 [arrowhead = none ];
384 -> 12;

385 [label="SPLIT 2\nreplacements:\nX61 -> T33\nT31 -> T34", fontsize=14, style = filled, fillcolor = violet];
11 -> 385 [arrowhead = none ];
385 -> 13;

386 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
12 -> 386 [arrowhead = none ];
386 -> 14;

387 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
13 -> 387 [arrowhead = none ];
387 -> 20;

388 [label="ONLY EVAL with clause\ntappend(nil, X74, X75) :- ','(!_5, eq(X74, X75)).\nand substitution\nT30 -> T40\nX74 -> node(nil, T40, nil)\nX61 -> X76\nX75 -> X76\nT39 -> T40", fontsize=14, style = filled, fillcolor = white];
14 -> 388 [arrowhead = none ];
388 -> 15;

389 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
15 -> 389 [arrowhead = none ];
389 -> 16;

390 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
16 -> 390 [arrowhead = none ];
390 -> 17;

391 [label="ONLY EVAL with clause\neq(X79, X79).\nand substitution\nT40 -> T43\nX79 -> node(nil, T43, nil)\nX76 -> node(nil, T43, nil)", fontsize=14, style = filled, fillcolor = white];
17 -> 391 [arrowhead = none ];
391 -> 18;

392 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
18 -> 392 [arrowhead = none ];
392 -> 19;

393 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
20 -> 393 [arrowhead = none ];
393 -> 21;

394 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
20 -> 394 [arrowhead = none ];
394 -> 22;

395 [label="EVAL with clause\ntlast(X86, node(nil, X86, nil)).\nand substitution\nT34 -> T50\nX86 -> T50\nT33 -> node(nil, T50, nil)", fontsize=14, style = filled, fillcolor = lightblue];
21 -> 395 [arrowhead = none ];
395 -> 23;

396 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
21 -> 396 [arrowhead = none ];
396 -> 24;

397 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
22 -> 397 [arrowhead = none ];
397 -> 26;

398 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
22 -> 398 [arrowhead = none ];
398 -> 27;

399 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
23 -> 399 [arrowhead = none ];
399 -> 25;

400 [label="EVAL with clause\ntlast(X104, node(X105, X106, X107)) :- tlast(X104, X105).\nand substitution\nT34 -> T71\nX104 -> T71\nX105 -> T72\nX106 -> T69\nX107 -> T70\nT33 -> node(T72, T69, T70)\nT67 -> T71\nT68 -> T72", fontsize=14, style = filled, fillcolor = lightblue];
26 -> 400 [arrowhead = none ];
400 -> 28;

401 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
26 -> 401 [arrowhead = none ];
401 -> 29;

402 [label="EVAL with clause\ntlast(X122, node(X123, X124, X125)) :- tlast(X122, X125).\nand substitution\nT34 -> T87\nX122 -> T87\nX123 -> T84\nX124 -> T85\nX125 -> T88\nT33 -> node(T84, T85, T88)\nT83 -> T87\nT86 -> T88", fontsize=14, style = filled, fillcolor = lightblue];
27 -> 402 [arrowhead = none ];
402 -> 30;

403 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
27 -> 403 [arrowhead = none ];
403 -> 31;

404 [label="INSTANCE with matching:\nT34 -> T71\nT33 -> T72", fontsize=14, style = filled, fillcolor = lightgrey];
28 -> 404 [arrowhead = none , style=dashed];
404 -> 13[style=dashed];

405 [label="INSTANCE with matching:\nT34 -> T87\nT33 -> T88", fontsize=14, style = filled, fillcolor = lightgrey];
30 -> 405 [arrowhead = none , style=dashed];
405 -> 13[style=dashed];

406 [label="ONLY EVAL with clause\ns2t(X158, node(X159, X160, X159)) :- ','(p(X158, X161), s2t(X161, X159)).\nand substitution\nT10 -> T95\nX158 -> T95\nX159 -> X162\nX160 -> X163\nX21 -> node(X162, X163, X162)", fontsize=14, style = filled, fillcolor = white];
32 -> 406 [arrowhead = none ];
406 -> 34;

407 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
33 -> 407 [arrowhead = none ];
407 -> 343;

408 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
33 -> 408 [arrowhead = none ];
408 -> 344;

409 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
34 -> 409 [arrowhead = none ];
409 -> 35;

410 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (s2t(T95, X21), s2t(0, X26))", fontsize=14, style = filled, fillcolor = white];
35 -> 410 [arrowhead = none ];
410 -> 36;

411 [label="EVAL with clause\np(s(X168), X168).\nand substitution\nX168 -> T98\nT95 -> s(T98)\nX161 -> T98", fontsize=14, style = filled, fillcolor = lightblue];
36 -> 411 [arrowhead = none ];
411 -> 37;

412 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
36 -> 412 [arrowhead = none ];
412 -> 38;

413 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
37 -> 413 [arrowhead = none ];
413 -> 39;

414 [label="SPLIT 2\nreplacements:\nX162 -> T99", fontsize=14, style = filled, fillcolor = violet];
37 -> 414 [arrowhead = none ];
414 -> 40;

415 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
39 -> 415 [arrowhead = none ];
415 -> 41;

416 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
40 -> 416 [arrowhead = none ];
416 -> 71;

417 [label="EVAL with clause\ns2t(0, X178) :- ','(!_9, eq(X178, nil)).\nand substitution\nT98 -> 0\nX162 -> X179\nX178 -> X179", fontsize=14, style = filled, fillcolor = lightblue];
41 -> 417 [arrowhead = none ];
417 -> 42;

418 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
41 -> 418 [arrowhead = none ];
418 -> 43;

419 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
42 -> 419 [arrowhead = none ];
419 -> 44;

420 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
43 -> 420 [arrowhead = none ];
420 -> 48;

421 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
43 -> 421 [arrowhead = none ];
421 -> 49;

422 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
44 -> 422 [arrowhead = none ];
422 -> 45;

423 [label="ONLY EVAL with clause\neq(X185, X185).\nand substitution\nX179 -> nil\nX185 -> nil\nX186 -> nil", fontsize=14, style = filled, fillcolor = white];
45 -> 423 [arrowhead = none ];
423 -> 46;

424 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
46 -> 424 [arrowhead = none ];
424 -> 47;

425 [label="ONLY EVAL with clause\ns2t(X213, node(X214, X215, X214)) :- ','(p(X213, X216), s2t(X216, X214)).\nand substitution\nT98 -> T104\nX213 -> T104\nX214 -> X217\nX215 -> X218\nX162 -> node(X217, X218, X217)", fontsize=14, style = filled, fillcolor = white];
48 -> 425 [arrowhead = none ];
425 -> 50;

426 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
49 -> 426 [arrowhead = none ];
426 -> 55;

427 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
49 -> 427 [arrowhead = none ];
427 -> 56;

428 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
50 -> 428 [arrowhead = none ];
428 -> 51;

429 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (s2t(T104, X162), s2t(0, X178))", fontsize=14, style = filled, fillcolor = white];
51 -> 429 [arrowhead = none ];
429 -> 52;

430 [label="EVAL with clause\np(s(X223), X223).\nand substitution\nX223 -> T107\nT104 -> s(T107)\nX216 -> T107", fontsize=14, style = filled, fillcolor = lightblue];
52 -> 430 [arrowhead = none ];
430 -> 53;

431 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
52 -> 431 [arrowhead = none ];
431 -> 54;

432 [label="INSTANCE with matching:\nT98 -> T107\nX162 -> X217", fontsize=14, style = filled, fillcolor = lightgrey];
53 -> 432 [arrowhead = none , style=dashed];
432 -> 39[style=dashed];

433 [label="ONLY EVAL with clause\ns2t(X253, node(nil, X254, X255)) :- ','(p(X253, X256), s2t(X256, X255)).\nand substitution\nT98 -> T112\nX253 -> T112\nX254 -> X257\nX255 -> X258\nX162 -> node(nil, X257, X258)", fontsize=14, style = filled, fillcolor = white];
55 -> 433 [arrowhead = none ];
433 -> 57;

434 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
56 -> 434 [arrowhead = none ];
434 -> 62;

435 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
56 -> 435 [arrowhead = none ];
435 -> 63;

436 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
57 -> 436 [arrowhead = none ];
436 -> 58;

437 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (s2t(T112, X162), s2t(0, X178))", fontsize=14, style = filled, fillcolor = white];
58 -> 437 [arrowhead = none ];
437 -> 59;

438 [label="EVAL with clause\np(s(X263), X263).\nand substitution\nX263 -> T115\nT112 -> s(T115)\nX256 -> T115", fontsize=14, style = filled, fillcolor = lightblue];
59 -> 438 [arrowhead = none ];
438 -> 60;

439 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
59 -> 439 [arrowhead = none ];
439 -> 61;

440 [label="INSTANCE with matching:\nT98 -> T115\nX162 -> X258", fontsize=14, style = filled, fillcolor = lightgrey];
60 -> 440 [arrowhead = none , style=dashed];
440 -> 39[style=dashed];

441 [label="ONLY EVAL with clause\ns2t(X293, node(X294, X295, nil)) :- ','(p(X293, X296), s2t(X296, X294)).\nand substitution\nT98 -> T120\nX293 -> T120\nX294 -> X297\nX295 -> X298\nX162 -> node(X297, X298, nil)", fontsize=14, style = filled, fillcolor = white];
62 -> 441 [arrowhead = none ];
441 -> 64;

442 [label="ONLY EVAL with clause\ns2t(X313, node(nil, X314, nil)).\nand substitution\nT98 -> T126\nX313 -> T126\nX314 -> X315\nX162 -> node(nil, X315, nil)", fontsize=14, style = filled, fillcolor = white];
63 -> 442 [arrowhead = none ];
442 -> 69;

443 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
64 -> 443 [arrowhead = none ];
443 -> 65;

444 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (s2t(T120, X162), s2t(0, X178))", fontsize=14, style = filled, fillcolor = white];
65 -> 444 [arrowhead = none ];
444 -> 66;

445 [label="EVAL with clause\np(s(X303), X303).\nand substitution\nX303 -> T123\nT120 -> s(T123)\nX296 -> T123", fontsize=14, style = filled, fillcolor = lightblue];
66 -> 445 [arrowhead = none ];
445 -> 67;

446 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
66 -> 446 [arrowhead = none ];
446 -> 68;

447 [label="INSTANCE with matching:\nT98 -> T123\nX162 -> X297", fontsize=14, style = filled, fillcolor = lightgrey];
67 -> 447 [arrowhead = none , style=dashed];
447 -> 39[style=dashed];

448 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
69 -> 448 [arrowhead = none ];
448 -> 70;

449 [label="ONLY EVAL with clause\ntapplast(X339, X340, X341) :- ','(tappend(X339, node(nil, X340, nil), X342), tlast(X341, X342)).\nand substitution\nT99 -> T144\nX163 -> X343\nX339 -> node(T144, X343, T144)\nT13 -> T145\nX340 -> T145\nT14 -> T146\nX341 -> T146\nT141 -> T144\nT142 -> T145\nT143 -> T146", fontsize=14, style = filled, fillcolor = white];
71 -> 449 [arrowhead = none ];
449 -> 72;

450 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
72 -> 450 [arrowhead = none ];
450 -> 73;

451 [label="SPLIT 2\nreplacements:\nX343 -> T149\nX342 -> T150\nT146 -> T151", fontsize=14, style = filled, fillcolor = violet];
72 -> 451 [arrowhead = none ];
451 -> 74;

452 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
73 -> 452 [arrowhead = none ];
452 -> 75;

453 [label="INSTANCE with matching:\nT34 -> T151\nT33 -> T150", fontsize=14, style = filled, fillcolor = lightgrey];
74 -> 453 [arrowhead = none , style=dashed];
453 -> 13[style=dashed];

454 [label="BACKTRACK\nfor clause: tappend(nil, Y, Z) :- ','(!, eq(Y, Z))because of non-unification", fontsize=14, style = filled, fillcolor = white];
75 -> 454 [arrowhead = none ];
454 -> 76;

455 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
76 -> 455 [arrowhead = none ];
455 -> 77;

456 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
76 -> 456 [arrowhead = none ];
456 -> 78;

457 [label="ONLY EVAL with clause\ntappend(X392, X393, node(X393, X394, X395)) :- ','(left(X392, nil), ','(right(X392, X395), value(X392, X394))).\nand substitution\nT144 -> T166\nX343 -> X396\nX392 -> node(T166, X396, T166)\nT145 -> T165\nX393 -> node(nil, T165, nil)\nX394 -> X397\nX395 -> X398\nX342 -> node(node(nil, T165, nil), X397, X398)\nT164 -> T166", fontsize=14, style = filled, fillcolor = white];
77 -> 457 [arrowhead = none ];
457 -> 79;

458 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
78 -> 458 [arrowhead = none ];
458 -> 91;

459 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
78 -> 459 [arrowhead = none ];
459 -> 92;

460 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
79 -> 460 [arrowhead = none ];
460 -> 80;

461 [label="BACKTRACK\nfor clause: left(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
80 -> 461 [arrowhead = none ];
461 -> 81;

462 [label="EVAL with clause\nleft(node(X407, X408, X409), X407).\nand substitution\nT166 -> nil\nX407 -> nil\nX396 -> X410\nX408 -> X410\nX409 -> nil\nT169 -> nil", fontsize=14, style = filled, fillcolor = lightblue];
81 -> 462 [arrowhead = none ];
462 -> 82;

463 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
81 -> 463 [arrowhead = none ];
463 -> 83;

464 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
82 -> 464 [arrowhead = none ];
464 -> 84;

465 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
84 -> 465 [arrowhead = none ];
465 -> 85;

466 [label="ONLY EVAL with clause\nright(node(X422, X423, X424), X424).\nand substitution\nX422 -> nil\nX410 -> X425\nX423 -> X425\nX424 -> nil\nX398 -> nil", fontsize=14, style = filled, fillcolor = white];
85 -> 466 [arrowhead = none ];
466 -> 86;

467 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
86 -> 467 [arrowhead = none ];
467 -> 87;

468 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
87 -> 468 [arrowhead = none ];
468 -> 88;

469 [label="ONLY EVAL with clause\nvalue(node(X434, X435, X436), X435).\nand substitution\nX434 -> nil\nX425 -> X437\nX435 -> X437\nX436 -> nil\nX397 -> X437", fontsize=14, style = filled, fillcolor = white];
88 -> 469 [arrowhead = none ];
469 -> 89;

470 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
89 -> 470 [arrowhead = none ];
470 -> 90;

471 [label="ONLY EVAL with clause\ntappend(X466, X467, node(X468, X469, X467)) :- ','(left(X466, X468), ','(right(X466, nil), value(X466, X469))).\nand substitution\nT144 -> T182\nX343 -> X470\nX466 -> node(T182, X470, T182)\nT145 -> T181\nX467 -> node(nil, T181, nil)\nX468 -> X471\nX469 -> X472\nX342 -> node(X471, X472, node(nil, T181, nil))\nT180 -> T182", fontsize=14, style = filled, fillcolor = white];
91 -> 471 [arrowhead = none ];
471 -> 93;

472 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
92 -> 472 [arrowhead = none ];
472 -> 105;

473 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
92 -> 473 [arrowhead = none ];
473 -> 106;

474 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
93 -> 474 [arrowhead = none ];
474 -> 94;

475 [label="BACKTRACK\nfor clause: left(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
94 -> 475 [arrowhead = none ];
475 -> 95;

476 [label="ONLY EVAL with clause\nleft(node(X481, X482, X483), X481).\nand substitution\nT182 -> T187\nX481 -> T187\nX470 -> X484\nX482 -> X484\nX483 -> T187\nX471 -> T187\nT186 -> T187", fontsize=14, style = filled, fillcolor = white];
95 -> 476 [arrowhead = none ];
476 -> 96;

477 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
96 -> 477 [arrowhead = none ];
477 -> 97;

478 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
97 -> 478 [arrowhead = none ];
478 -> 98;

479 [label="EVAL with clause\nright(node(X493, X494, X495), X495).\nand substitution\nT187 -> nil\nX493 -> nil\nX484 -> X496\nX494 -> X496\nX495 -> nil\nT190 -> nil", fontsize=14, style = filled, fillcolor = lightblue];
98 -> 479 [arrowhead = none ];
479 -> 99;

480 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
98 -> 480 [arrowhead = none ];
480 -> 100;

481 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
99 -> 481 [arrowhead = none ];
481 -> 101;

482 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
101 -> 482 [arrowhead = none ];
482 -> 102;

483 [label="ONLY EVAL with clause\nvalue(node(X508, X509, X510), X509).\nand substitution\nX508 -> nil\nX496 -> X511\nX509 -> X511\nX510 -> nil\nX472 -> X511", fontsize=14, style = filled, fillcolor = white];
102 -> 483 [arrowhead = none ];
483 -> 103;

484 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
103 -> 484 [arrowhead = none ];
484 -> 104;

485 [label="ONLY EVAL with clause\ntappend(X556, X557, node(X558, X559, X560)) :- ','(left(X556, X561), ','(right(X556, X560), ','(value(X556, X559), tappend(X561, X557, X558)))).\nand substitution\nT144 -> T207\nX343 -> X562\nX556 -> node(T207, X562, T207)\nT145 -> T208\nX557 -> node(nil, T208, nil)\nX558 -> X563\nX559 -> X564\nX560 -> X565\nX342 -> node(X563, X564, X565)\nT205 -> T207\nT206 -> T208", fontsize=14, style = filled, fillcolor = white];
105 -> 485 [arrowhead = none ];
485 -> 107;

486 [label="ONLY EVAL with clause\ntappend(X1422, X1423, node(X1423, X1424, X1425)) :- ','(left(X1422, X1423), ','(right(X1422, X1426), ','(value(X1422, X1424), tappend(X1426, X1427, X1425)))).\nand substitution\nT144 -> T621\nX343 -> X1428\nX1422 -> node(T621, X1428, T621)\nT145 -> T622\nX1423 -> node(nil, T622, nil)\nX1424 -> X1429\nX1425 -> X1430\nX342 -> node(node(nil, T622, nil), X1429, X1430)\nT619 -> T621\nT620 -> T622", fontsize=14, style = filled, fillcolor = white];
106 -> 486 [arrowhead = none ];
486 -> 332;

487 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
107 -> 487 [arrowhead = none ];
487 -> 108;

488 [label="BACKTRACK\nfor clause: left(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
108 -> 488 [arrowhead = none ];
488 -> 109;

489 [label="ONLY EVAL with clause\nleft(node(X580, X581, X582), X580).\nand substitution\nT207 -> T216\nX580 -> T216\nX562 -> X583\nX581 -> X583\nX582 -> T216\nX561 -> T216\nT215 -> T216\nT208 -> T217", fontsize=14, style = filled, fillcolor = white];
109 -> 489 [arrowhead = none ];
489 -> 110;

490 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
110 -> 490 [arrowhead = none ];
490 -> 111;

491 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
111 -> 491 [arrowhead = none ];
491 -> 112;

492 [label="ONLY EVAL with clause\nright(node(X598, X599, X600), X600).\nand substitution\nT216 -> T225\nX598 -> T225\nX583 -> X601\nX599 -> X601\nX600 -> T225\nX565 -> T225\nT224 -> T225\nT217 -> T226", fontsize=14, style = filled, fillcolor = white];
112 -> 492 [arrowhead = none ];
492 -> 113;

493 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
113 -> 493 [arrowhead = none ];
493 -> 114;

494 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
114 -> 494 [arrowhead = none ];
494 -> 115;

495 [label="ONLY EVAL with clause\nvalue(node(X616, X617, X618), X617).\nand substitution\nT225 -> T234\nX616 -> T234\nX601 -> X619\nX617 -> X619\nX618 -> T234\nX564 -> X619\nT233 -> T234\nT226 -> T235", fontsize=14, style = filled, fillcolor = white];
115 -> 495 [arrowhead = none ];
495 -> 116;

496 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
116 -> 496 [arrowhead = none ];
496 -> 117;

497 [label="EVAL with clause\ntappend(nil, X629, X630) :- ','(!_25, eq(X629, X630)).\nand substitution\nT234 -> nil\nT235 -> T240\nX629 -> node(nil, T240, nil)\nX563 -> X631\nX630 -> X631\nT239 -> T240", fontsize=14, style = filled, fillcolor = lightblue];
117 -> 497 [arrowhead = none ];
497 -> 118;

498 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
117 -> 498 [arrowhead = none ];
498 -> 119;

499 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
118 -> 499 [arrowhead = none ];
499 -> 120;

500 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
119 -> 500 [arrowhead = none ];
500 -> 124;

501 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
119 -> 501 [arrowhead = none ];
501 -> 125;

502 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
120 -> 502 [arrowhead = none ];
502 -> 121;

503 [label="ONLY EVAL with clause\neq(X636, X636).\nand substitution\nT240 -> T243\nX636 -> node(nil, T243, nil)\nX631 -> node(nil, T243, nil)", fontsize=14, style = filled, fillcolor = white];
121 -> 503 [arrowhead = none ];
503 -> 122;

504 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
122 -> 504 [arrowhead = none ];
504 -> 123;

505 [label="ONLY EVAL with clause\ntappend(X661, X662, node(X662, X663, X664)) :- ','(left(X661, nil), ','(right(X661, X664), value(X661, X663))).\nand substitution\nT234 -> T256\nX661 -> T256\nT235 -> T255\nX662 -> node(nil, T255, nil)\nX663 -> X665\nX664 -> X666\nX563 -> node(node(nil, T255, nil), X665, X666)\nT254 -> T256", fontsize=14, style = filled, fillcolor = white];
124 -> 505 [arrowhead = none ];
505 -> 126;

506 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
125 -> 506 [arrowhead = none ];
506 -> 152;

507 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
125 -> 507 [arrowhead = none ];
507 -> 153;

508 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
126 -> 508 [arrowhead = none ];
508 -> 127;

509 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
127 -> 509 [arrowhead = none ];
509 -> 128;

510 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
127 -> 510 [arrowhead = none ];
510 -> 129;

511 [label="EVAL with clause\nleft(nil, nil).\nand substitution\nT256 -> nil", fontsize=14, style = filled, fillcolor = lightblue];
128 -> 511 [arrowhead = none ];
511 -> 130;

512 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
128 -> 512 [arrowhead = none ];
512 -> 131;

513 [label="EVAL with clause\nleft(node(X679, X680, X681), X679).\nand substitution\nX679 -> nil\nX680 -> T266\nX681 -> T267\nT256 -> node(nil, T266, T267)\nT263 -> nil\nT264 -> T266\nT265 -> T267", fontsize=14, style = filled, fillcolor = lightblue];
129 -> 513 [arrowhead = none ];
513 -> 143;

514 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
129 -> 514 [arrowhead = none ];
514 -> 144;

515 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
130 -> 515 [arrowhead = none ];
515 -> 132;

516 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
132 -> 516 [arrowhead = none ];
516 -> 133;

517 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
132 -> 517 [arrowhead = none ];
517 -> 134;

518 [label="ONLY EVAL with clause\nright(nil, nil).\nand substitution\nX666 -> nil", fontsize=14, style = filled, fillcolor = white];
133 -> 518 [arrowhead = none ];
518 -> 135;

519 [label="BACKTRACK\nfor clause: right(node(X11, X12, R), R)because of non-unification", fontsize=14, style = filled, fillcolor = white];
134 -> 519 [arrowhead = none ];
519 -> 142;

520 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
135 -> 520 [arrowhead = none ];
520 -> 136;

521 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
136 -> 521 [arrowhead = none ];
521 -> 137;

522 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
136 -> 522 [arrowhead = none ];
522 -> 138;

523 [label="ONLY EVAL with clause\nvalue(nil, nil).\nand substitution\nX665 -> nil", fontsize=14, style = filled, fillcolor = white];
137 -> 523 [arrowhead = none ];
523 -> 139;

524 [label="BACKTRACK\nfor clause: value(node(X13, X, X14), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
138 -> 524 [arrowhead = none ];
524 -> 141;

525 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
139 -> 525 [arrowhead = none ];
525 -> 140;

526 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
143 -> 526 [arrowhead = none ];
526 -> 145;

527 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
145 -> 527 [arrowhead = none ];
527 -> 146;

528 [label="ONLY EVAL with clause\nright(node(X691, X692, X693), X693).\nand substitution\nX691 -> nil\nT266 -> T276\nX692 -> T276\nT267 -> T277\nX693 -> T277\nX666 -> T277\nT274 -> T276\nT275 -> T277", fontsize=14, style = filled, fillcolor = white];
146 -> 528 [arrowhead = none ];
528 -> 147;

529 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
147 -> 529 [arrowhead = none ];
529 -> 148;

530 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
148 -> 530 [arrowhead = none ];
530 -> 149;

531 [label="ONLY EVAL with clause\nvalue(node(X700, X701, X702), X701).\nand substitution\nX700 -> nil\nT276 -> T282\nX701 -> T282\nT277 -> T283\nX702 -> T283\nX665 -> T282", fontsize=14, style = filled, fillcolor = white];
149 -> 531 [arrowhead = none ];
531 -> 150;

532 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
150 -> 532 [arrowhead = none ];
532 -> 151;

533 [label="ONLY EVAL with clause\ntappend(X727, X728, node(X729, X730, X728)) :- ','(left(X727, X729), ','(right(X727, nil), value(X727, X730))).\nand substitution\nT234 -> T296\nX727 -> T296\nT235 -> T295\nX728 -> node(nil, T295, nil)\nX729 -> X731\nX730 -> X732\nX563 -> node(X731, X732, node(nil, T295, nil))\nT294 -> T296", fontsize=14, style = filled, fillcolor = white];
152 -> 533 [arrowhead = none ];
533 -> 154;

534 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
153 -> 534 [arrowhead = none ];
534 -> 181;

535 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
153 -> 535 [arrowhead = none ];
535 -> 182;

536 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
154 -> 536 [arrowhead = none ];
536 -> 155;

537 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
155 -> 537 [arrowhead = none ];
537 -> 156;

538 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
155 -> 538 [arrowhead = none ];
538 -> 157;

539 [label="EVAL with clause\nleft(nil, nil).\nand substitution\nT296 -> nil\nX731 -> nil", fontsize=14, style = filled, fillcolor = lightblue];
156 -> 539 [arrowhead = none ];
539 -> 158;

540 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
156 -> 540 [arrowhead = none ];
540 -> 159;

541 [label="EVAL with clause\nleft(node(X745, X746, X747), X745).\nand substitution\nX745 -> T306\nX746 -> T307\nX747 -> T308\nT296 -> node(T306, T307, T308)\nX731 -> T306\nT303 -> T306\nT304 -> T307\nT305 -> T308", fontsize=14, style = filled, fillcolor = lightblue];
157 -> 541 [arrowhead = none ];
541 -> 171;

542 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
157 -> 542 [arrowhead = none ];
542 -> 172;

543 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
158 -> 543 [arrowhead = none ];
543 -> 160;

544 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
160 -> 544 [arrowhead = none ];
544 -> 161;

545 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
160 -> 545 [arrowhead = none ];
545 -> 162;

546 [label="ONLY EVAL with clause\nright(nil, nil).\nand substitution", fontsize=14, style = filled, fillcolor = white];
161 -> 546 [arrowhead = none ];
546 -> 163;

547 [label="BACKTRACK\nfor clause: right(node(X11, X12, R), R)because of non-unification", fontsize=14, style = filled, fillcolor = white];
162 -> 547 [arrowhead = none ];
547 -> 170;

548 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
163 -> 548 [arrowhead = none ];
548 -> 164;

549 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
164 -> 549 [arrowhead = none ];
549 -> 165;

550 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
164 -> 550 [arrowhead = none ];
550 -> 166;

551 [label="ONLY EVAL with clause\nvalue(nil, nil).\nand substitution\nX732 -> nil", fontsize=14, style = filled, fillcolor = white];
165 -> 551 [arrowhead = none ];
551 -> 167;

552 [label="BACKTRACK\nfor clause: value(node(X13, X, X14), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
166 -> 552 [arrowhead = none ];
552 -> 169;

553 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
167 -> 553 [arrowhead = none ];
553 -> 168;

554 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
171 -> 554 [arrowhead = none ];
554 -> 173;

555 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
173 -> 555 [arrowhead = none ];
555 -> 174;

556 [label="EVAL with clause\nright(node(X757, X758, X759), X759).\nand substitution\nT306 -> T318\nX757 -> T318\nT307 -> T319\nX758 -> T319\nT308 -> nil\nX759 -> nil\nT317 -> nil\nT315 -> T318\nT316 -> T319", fontsize=14, style = filled, fillcolor = lightblue];
174 -> 556 [arrowhead = none ];
556 -> 175;

557 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
174 -> 557 [arrowhead = none ];
557 -> 176;

558 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
175 -> 558 [arrowhead = none ];
558 -> 177;

559 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
177 -> 559 [arrowhead = none ];
559 -> 178;

560 [label="ONLY EVAL with clause\nvalue(node(X769, X770, X771), X770).\nand substitution\nT318 -> T324\nX769 -> T324\nT319 -> T325\nX770 -> T325\nX771 -> nil\nX732 -> T325", fontsize=14, style = filled, fillcolor = white];
178 -> 560 [arrowhead = none ];
560 -> 179;

561 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
179 -> 561 [arrowhead = none ];
561 -> 180;

562 [label="ONLY EVAL with clause\ntappend(X812, X813, node(X814, X815, X816)) :- ','(left(X812, X817), ','(right(X812, X816), ','(value(X812, X815), tappend(X817, X813, X814)))).\nand substitution\nT234 -> T342\nX812 -> T342\nT235 -> T343\nX813 -> node(nil, T343, nil)\nX814 -> X818\nX815 -> X819\nX816 -> X820\nX563 -> node(X818, X819, X820)\nT340 -> T342\nT341 -> T343", fontsize=14, style = filled, fillcolor = white];
181 -> 562 [arrowhead = none ];
562 -> 183;

563 [label="ONLY EVAL with clause\ntappend(X914, X915, node(X915, X916, X917)) :- ','(left(X914, X915), ','(right(X914, X918), ','(value(X914, X916), tappend(X918, X919, X917)))).\nand substitution\nT234 -> T409\nX914 -> T409\nT235 -> T410\nX915 -> node(nil, T410, nil)\nX916 -> X920\nX917 -> X921\nX563 -> node(node(nil, T410, nil), X920, X921)\nT407 -> T409\nT408 -> T410", fontsize=14, style = filled, fillcolor = white];
182 -> 563 [arrowhead = none ];
563 -> 207;

564 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
183 -> 564 [arrowhead = none ];
564 -> 184;

565 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
184 -> 565 [arrowhead = none ];
565 -> 185;

566 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
184 -> 566 [arrowhead = none ];
566 -> 186;

567 [label="EVAL with clause\nleft(nil, nil).\nand substitution\nT342 -> nil\nX817 -> nil\nT343 -> T345", fontsize=14, style = filled, fillcolor = lightblue];
185 -> 567 [arrowhead = none ];
567 -> 187;

568 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
185 -> 568 [arrowhead = none ];
568 -> 188;

569 [label="EVAL with clause\nleft(node(X857, X858, X859), X857).\nand substitution\nX857 -> T362\nX858 -> T363\nX859 -> T364\nT342 -> node(T362, T363, T364)\nX817 -> T362\nT359 -> T362\nT360 -> T363\nT361 -> T364\nT343 -> T365", fontsize=14, style = filled, fillcolor = lightblue];
186 -> 569 [arrowhead = none ];
569 -> 199;

570 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
186 -> 570 [arrowhead = none ];
570 -> 200;

571 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
187 -> 571 [arrowhead = none ];
571 -> 189;

572 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
189 -> 572 [arrowhead = none ];
572 -> 190;

573 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
189 -> 573 [arrowhead = none ];
573 -> 191;

574 [label="ONLY EVAL with clause\nright(nil, nil).\nand substitution\nX820 -> nil", fontsize=14, style = filled, fillcolor = white];
190 -> 574 [arrowhead = none ];
574 -> 192;

575 [label="BACKTRACK\nfor clause: right(node(X11, X12, R), R)because of non-unification", fontsize=14, style = filled, fillcolor = white];
191 -> 575 [arrowhead = none ];
575 -> 198;

576 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
192 -> 576 [arrowhead = none ];
576 -> 193;

577 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
193 -> 577 [arrowhead = none ];
577 -> 194;

578 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
193 -> 578 [arrowhead = none ];
578 -> 195;

579 [label="ONLY EVAL with clause\nvalue(nil, nil).\nand substitution\nX819 -> nil", fontsize=14, style = filled, fillcolor = white];
194 -> 579 [arrowhead = none ];
579 -> 196;

580 [label="BACKTRACK\nfor clause: value(node(X13, X, X14), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
195 -> 580 [arrowhead = none ];
580 -> 197;

581 [label="INSTANCE with matching:\nT30 -> T345\nX61 -> X818", fontsize=14, style = filled, fillcolor = lightgrey];
196 -> 581 [arrowhead = none , style=dashed];
581 -> 12[style=dashed];

582 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
199 -> 582 [arrowhead = none ];
582 -> 201;

583 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
201 -> 583 [arrowhead = none ];
583 -> 202;

584 [label="ONLY EVAL with clause\nright(node(X875, X876, X877), X877).\nand substitution\nT362 -> T381\nX875 -> T381\nT363 -> T382\nX876 -> T382\nT364 -> T383\nX877 -> T383\nX820 -> T383\nT378 -> T381\nT379 -> T382\nT380 -> T383\nT365 -> T384", fontsize=14, style = filled, fillcolor = white];
202 -> 584 [arrowhead = none ];
584 -> 203;

585 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
203 -> 585 [arrowhead = none ];
585 -> 204;

586 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
204 -> 586 [arrowhead = none ];
586 -> 205;

587 [label="ONLY EVAL with clause\nvalue(node(X890, X891, X892), X891).\nand substitution\nT381 -> T398\nX890 -> T398\nT382 -> T396\nX891 -> T396\nT383 -> T397\nX892 -> T397\nX819 -> T396\nT395 -> T398\nT384 -> T399", fontsize=14, style = filled, fillcolor = white];
205 -> 587 [arrowhead = none ];
587 -> 206;

588 [label="INSTANCE with matching:\nT234 -> T398\nT235 -> T399\nX563 -> X818", fontsize=14, style = filled, fillcolor = lightgrey];
206 -> 588 [arrowhead = none , style=dashed];
588 -> 116[style=dashed];

589 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
207 -> 589 [arrowhead = none ];
589 -> 208;

590 [label="BACKTRACK\nfor clause: left(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
208 -> 590 [arrowhead = none ];
590 -> 209;

591 [label="EVAL with clause\nleft(node(X932, X933, X934), X932).\nand substitution\nX932 -> node(nil, T425, nil)\nX933 -> T423\nX934 -> T424\nT409 -> node(node(nil, T425, nil), T423, T424)\nT410 -> T425\nT419 -> node(nil, T425, nil)\nT420 -> T423\nT421 -> T424\nT422 -> T425", fontsize=14, style = filled, fillcolor = lightblue];
209 -> 591 [arrowhead = none ];
591 -> 210;

592 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
209 -> 592 [arrowhead = none ];
592 -> 211;

593 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
210 -> 593 [arrowhead = none ];
593 -> 212;

594 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
212 -> 594 [arrowhead = none ];
594 -> 213;

595 [label="ONLY EVAL with clause\nright(node(X952, X953, X954), X954).\nand substitution\nT425 -> T440\nX952 -> node(nil, T440, nil)\nT423 -> T438\nX953 -> T438\nT424 -> T439\nX954 -> T439\nX918 -> T439\nT436 -> T438\nT437 -> T439\nT435 -> T440", fontsize=14, style = filled, fillcolor = white];
213 -> 595 [arrowhead = none ];
595 -> 214;

596 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
214 -> 596 [arrowhead = none ];
596 -> 215;

597 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
215 -> 597 [arrowhead = none ];
597 -> 216;

598 [label="ONLY EVAL with clause\nvalue(node(X969, X970, X971), X970).\nand substitution\nT440 -> T448\nX969 -> node(nil, T448, nil)\nT438 -> T449\nX970 -> T449\nT439 -> T451\nX971 -> T451\nX920 -> T449\nT450 -> T451", fontsize=14, style = filled, fillcolor = white];
216 -> 598 [arrowhead = none ];
598 -> 217;

599 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
217 -> 599 [arrowhead = none ];
599 -> 218;

600 [label="EVAL with clause\ntappend(nil, X984, X985) :- ','(!_45, eq(X984, X985)).\nand substitution\nT451 -> nil\nX919 -> X986\nX984 -> X986\nX921 -> X987\nX985 -> X987", fontsize=14, style = filled, fillcolor = lightblue];
218 -> 600 [arrowhead = none ];
600 -> 219;

601 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
218 -> 601 [arrowhead = none ];
601 -> 220;

602 [label="CUT", fontsize=14, style = filled, fillcolor = lightgreen];
219 -> 602 [arrowhead = none ];
602 -> 221;

603 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
220 -> 603 [arrowhead = none ];
603 -> 225;

604 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
220 -> 604 [arrowhead = none ];
604 -> 226;

605 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
221 -> 605 [arrowhead = none ];
605 -> 222;

606 [label="ONLY EVAL with clause\neq(X994, X994).\nand substitution\nX986 -> X995\nX994 -> X995\nX987 -> X995", fontsize=14, style = filled, fillcolor = white];
222 -> 606 [arrowhead = none ];
606 -> 223;

607 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
223 -> 607 [arrowhead = none ];
607 -> 224;

608 [label="ONLY EVAL with clause\ntappend(X1024, X1025, node(X1025, X1026, X1027)) :- ','(left(X1024, nil), ','(right(X1024, X1027), value(X1024, X1026))).\nand substitution\nT451 -> T459\nX1024 -> T459\nX919 -> X1028\nX1025 -> X1028\nX1026 -> X1029\nX1027 -> X1030\nX921 -> node(X1028, X1029, X1030)\nT458 -> T459", fontsize=14, style = filled, fillcolor = white];
225 -> 608 [arrowhead = none ];
608 -> 227;

609 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
226 -> 609 [arrowhead = none ];
609 -> 253;

610 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
226 -> 610 [arrowhead = none ];
610 -> 254;

611 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
227 -> 611 [arrowhead = none ];
611 -> 228;

612 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
228 -> 612 [arrowhead = none ];
612 -> 229;

613 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
228 -> 613 [arrowhead = none ];
613 -> 230;

614 [label="EVAL with clause\nleft(nil, nil).\nand substitution\nT459 -> nil", fontsize=14, style = filled, fillcolor = lightblue];
229 -> 614 [arrowhead = none ];
614 -> 231;

615 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
229 -> 615 [arrowhead = none ];
615 -> 232;

616 [label="EVAL with clause\nleft(node(X1043, X1044, X1045), X1043).\nand substitution\nX1043 -> nil\nX1044 -> T469\nX1045 -> T470\nT459 -> node(nil, T469, T470)\nT466 -> nil\nT467 -> T469\nT468 -> T470", fontsize=14, style = filled, fillcolor = lightblue];
230 -> 616 [arrowhead = none ];
616 -> 244;

617 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
230 -> 617 [arrowhead = none ];
617 -> 245;

618 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
231 -> 618 [arrowhead = none ];
618 -> 233;

619 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
233 -> 619 [arrowhead = none ];
619 -> 234;

620 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
233 -> 620 [arrowhead = none ];
620 -> 235;

621 [label="ONLY EVAL with clause\nright(nil, nil).\nand substitution\nX1030 -> nil", fontsize=14, style = filled, fillcolor = white];
234 -> 621 [arrowhead = none ];
621 -> 236;

622 [label="BACKTRACK\nfor clause: right(node(X11, X12, R), R)because of non-unification", fontsize=14, style = filled, fillcolor = white];
235 -> 622 [arrowhead = none ];
622 -> 243;

623 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
236 -> 623 [arrowhead = none ];
623 -> 237;

624 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
237 -> 624 [arrowhead = none ];
624 -> 238;

625 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
237 -> 625 [arrowhead = none ];
625 -> 239;

626 [label="ONLY EVAL with clause\nvalue(nil, nil).\nand substitution\nX1029 -> nil", fontsize=14, style = filled, fillcolor = white];
238 -> 626 [arrowhead = none ];
626 -> 240;

627 [label="BACKTRACK\nfor clause: value(node(X13, X, X14), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
239 -> 627 [arrowhead = none ];
627 -> 242;

628 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
240 -> 628 [arrowhead = none ];
628 -> 241;

629 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
244 -> 629 [arrowhead = none ];
629 -> 246;

630 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
246 -> 630 [arrowhead = none ];
630 -> 247;

631 [label="ONLY EVAL with clause\nright(node(X1055, X1056, X1057), X1057).\nand substitution\nX1055 -> nil\nT469 -> T479\nX1056 -> T479\nT470 -> T480\nX1057 -> T480\nX1030 -> T480\nT477 -> T479\nT478 -> T480", fontsize=14, style = filled, fillcolor = white];
247 -> 631 [arrowhead = none ];
631 -> 248;

632 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
248 -> 632 [arrowhead = none ];
632 -> 249;

633 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
249 -> 633 [arrowhead = none ];
633 -> 250;

634 [label="ONLY EVAL with clause\nvalue(node(X1064, X1065, X1066), X1065).\nand substitution\nX1064 -> nil\nT479 -> T485\nX1065 -> T485\nT480 -> T486\nX1066 -> T486\nX1029 -> T485", fontsize=14, style = filled, fillcolor = white];
250 -> 634 [arrowhead = none ];
634 -> 251;

635 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
251 -> 635 [arrowhead = none ];
635 -> 252;

636 [label="ONLY EVAL with clause\ntappend(X1095, X1096, node(X1097, X1098, X1096)) :- ','(left(X1095, X1097), ','(right(X1095, nil), value(X1095, X1098))).\nand substitution\nT451 -> T494\nX1095 -> T494\nX919 -> X1099\nX1096 -> X1099\nX1097 -> X1100\nX1098 -> X1101\nX921 -> node(X1100, X1101, X1099)\nT493 -> T494", fontsize=14, style = filled, fillcolor = white];
253 -> 636 [arrowhead = none ];
636 -> 255;

637 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
254 -> 637 [arrowhead = none ];
637 -> 282;

638 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
254 -> 638 [arrowhead = none ];
638 -> 283;

639 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
255 -> 639 [arrowhead = none ];
639 -> 256;

640 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
256 -> 640 [arrowhead = none ];
640 -> 257;

641 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
256 -> 641 [arrowhead = none ];
641 -> 258;

642 [label="EVAL with clause\nleft(nil, nil).\nand substitution\nT494 -> nil\nX1100 -> nil", fontsize=14, style = filled, fillcolor = lightblue];
257 -> 642 [arrowhead = none ];
642 -> 259;

643 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
257 -> 643 [arrowhead = none ];
643 -> 260;

644 [label="EVAL with clause\nleft(node(X1114, X1115, X1116), X1114).\nand substitution\nX1114 -> T504\nX1115 -> T505\nX1116 -> T506\nT494 -> node(T504, T505, T506)\nX1100 -> T504\nT501 -> T504\nT502 -> T505\nT503 -> T506", fontsize=14, style = filled, fillcolor = lightblue];
258 -> 644 [arrowhead = none ];
644 -> 272;

645 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
258 -> 645 [arrowhead = none ];
645 -> 273;

646 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
259 -> 646 [arrowhead = none ];
646 -> 261;

647 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
261 -> 647 [arrowhead = none ];
647 -> 262;

648 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
261 -> 648 [arrowhead = none ];
648 -> 263;

649 [label="ONLY EVAL with clause\nright(nil, nil).\nand substitution", fontsize=14, style = filled, fillcolor = white];
262 -> 649 [arrowhead = none ];
649 -> 264;

650 [label="BACKTRACK\nfor clause: right(node(X11, X12, R), R)because of non-unification", fontsize=14, style = filled, fillcolor = white];
263 -> 650 [arrowhead = none ];
650 -> 271;

651 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
264 -> 651 [arrowhead = none ];
651 -> 265;

652 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
265 -> 652 [arrowhead = none ];
652 -> 266;

653 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
265 -> 653 [arrowhead = none ];
653 -> 267;

654 [label="ONLY EVAL with clause\nvalue(nil, nil).\nand substitution\nX1101 -> nil", fontsize=14, style = filled, fillcolor = white];
266 -> 654 [arrowhead = none ];
654 -> 268;

655 [label="BACKTRACK\nfor clause: value(node(X13, X, X14), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
267 -> 655 [arrowhead = none ];
655 -> 270;

656 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
268 -> 656 [arrowhead = none ];
656 -> 269;

657 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
272 -> 657 [arrowhead = none ];
657 -> 274;

658 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
274 -> 658 [arrowhead = none ];
658 -> 275;

659 [label="EVAL with clause\nright(node(X1126, X1127, X1128), X1128).\nand substitution\nT504 -> T516\nX1126 -> T516\nT505 -> T517\nX1127 -> T517\nT506 -> nil\nX1128 -> nil\nT515 -> nil\nT513 -> T516\nT514 -> T517", fontsize=14, style = filled, fillcolor = lightblue];
275 -> 659 [arrowhead = none ];
659 -> 276;

660 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
275 -> 660 [arrowhead = none ];
660 -> 277;

661 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
276 -> 661 [arrowhead = none ];
661 -> 278;

662 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
278 -> 662 [arrowhead = none ];
662 -> 279;

663 [label="ONLY EVAL with clause\nvalue(node(X1138, X1139, X1140), X1139).\nand substitution\nT516 -> T522\nX1138 -> T522\nT517 -> T523\nX1139 -> T523\nX1140 -> nil\nX1101 -> T523", fontsize=14, style = filled, fillcolor = white];
279 -> 663 [arrowhead = none ];
663 -> 280;

664 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
280 -> 664 [arrowhead = none ];
664 -> 281;

665 [label="ONLY EVAL with clause\ntappend(X1187, X1188, node(X1189, X1190, X1191)) :- ','(left(X1187, X1192), ','(right(X1187, X1191), ','(value(X1187, X1190), tappend(X1192, X1188, X1189)))).\nand substitution\nT451 -> T531\nX1187 -> T531\nX919 -> X1193\nX1188 -> X1193\nX1189 -> X1194\nX1190 -> X1195\nX1191 -> X1196\nX921 -> node(X1194, X1195, X1196)\nT530 -> T531", fontsize=14, style = filled, fillcolor = white];
282 -> 665 [arrowhead = none ];
665 -> 284;

666 [label="ONLY EVAL with clause\ntappend(X1305, X1306, node(X1306, X1307, X1308)) :- ','(left(X1305, X1306), ','(right(X1305, X1309), ','(value(X1305, X1307), tappend(X1309, X1310, X1308)))).\nand substitution\nT451 -> T574\nX1305 -> T574\nX919 -> X1311\nX1306 -> X1311\nX1307 -> X1312\nX1308 -> X1313\nX921 -> node(X1311, X1312, X1313)\nT573 -> T574", fontsize=14, style = filled, fillcolor = white];
283 -> 666 [arrowhead = none ];
666 -> 308;

667 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
284 -> 667 [arrowhead = none ];
667 -> 285;

668 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
285 -> 668 [arrowhead = none ];
668 -> 286;

669 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
285 -> 669 [arrowhead = none ];
669 -> 287;

670 [label="EVAL with clause\nleft(nil, nil).\nand substitution\nT531 -> nil\nX1192 -> nil", fontsize=14, style = filled, fillcolor = lightblue];
286 -> 670 [arrowhead = none ];
670 -> 288;

671 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
286 -> 671 [arrowhead = none ];
671 -> 289;

672 [label="EVAL with clause\nleft(node(X1241, X1242, X1243), X1241).\nand substitution\nX1241 -> T541\nX1242 -> T542\nX1243 -> T543\nT531 -> node(T541, T542, T543)\nX1192 -> T541\nT538 -> T541\nT539 -> T542\nT540 -> T543", fontsize=14, style = filled, fillcolor = lightblue];
287 -> 672 [arrowhead = none ];
672 -> 300;

673 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
287 -> 673 [arrowhead = none ];
673 -> 301;

674 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
288 -> 674 [arrowhead = none ];
674 -> 290;

675 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
290 -> 675 [arrowhead = none ];
675 -> 291;

676 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
290 -> 676 [arrowhead = none ];
676 -> 292;

677 [label="ONLY EVAL with clause\nright(nil, nil).\nand substitution\nX1196 -> nil", fontsize=14, style = filled, fillcolor = white];
291 -> 677 [arrowhead = none ];
677 -> 293;

678 [label="BACKTRACK\nfor clause: right(node(X11, X12, R), R)because of non-unification", fontsize=14, style = filled, fillcolor = white];
292 -> 678 [arrowhead = none ];
678 -> 299;

679 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
293 -> 679 [arrowhead = none ];
679 -> 294;

680 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
294 -> 680 [arrowhead = none ];
680 -> 295;

681 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
294 -> 681 [arrowhead = none ];
681 -> 296;

682 [label="ONLY EVAL with clause\nvalue(nil, nil).\nand substitution\nX1195 -> nil", fontsize=14, style = filled, fillcolor = white];
295 -> 682 [arrowhead = none ];
682 -> 297;

683 [label="BACKTRACK\nfor clause: value(node(X13, X, X14), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
296 -> 683 [arrowhead = none ];
683 -> 298;

684 [label="INSTANCE with matching:\nT451 -> nil\nX919 -> X1193\nX921 -> X1194", fontsize=14, style = filled, fillcolor = lightgrey];
297 -> 684 [arrowhead = none , style=dashed];
684 -> 217[style=dashed];

685 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
300 -> 685 [arrowhead = none ];
685 -> 302;

686 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
302 -> 686 [arrowhead = none ];
686 -> 303;

687 [label="ONLY EVAL with clause\nright(node(X1261, X1262, X1263), X1263).\nand substitution\nT541 -> T556\nX1261 -> T556\nT542 -> T557\nX1262 -> T557\nT543 -> T558\nX1263 -> T558\nX1196 -> T558\nT553 -> T556\nT554 -> T557\nT555 -> T558", fontsize=14, style = filled, fillcolor = white];
303 -> 687 [arrowhead = none ];
687 -> 304;

688 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
304 -> 688 [arrowhead = none ];
688 -> 305;

689 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
305 -> 689 [arrowhead = none ];
689 -> 306;

690 [label="ONLY EVAL with clause\nvalue(node(X1278, X1279, X1280), X1279).\nand substitution\nT556 -> T569\nX1278 -> T569\nT557 -> T567\nX1279 -> T567\nT558 -> T568\nX1280 -> T568\nX1195 -> T567\nT566 -> T569", fontsize=14, style = filled, fillcolor = white];
306 -> 690 [arrowhead = none ];
690 -> 307;

691 [label="INSTANCE with matching:\nT451 -> T569\nX919 -> X1193\nX921 -> X1194", fontsize=14, style = filled, fillcolor = lightgrey];
307 -> 691 [arrowhead = none , style=dashed];
691 -> 217[style=dashed];

692 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
308 -> 692 [arrowhead = none ];
692 -> 309;

693 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
309 -> 693 [arrowhead = none ];
693 -> 310;

694 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
309 -> 694 [arrowhead = none ];
694 -> 311;

695 [label="EVAL with clause\nleft(nil, nil).\nand substitution\nT574 -> nil\nX1311 -> nil", fontsize=14, style = filled, fillcolor = lightblue];
310 -> 695 [arrowhead = none ];
695 -> 312;

696 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
310 -> 696 [arrowhead = none ];
696 -> 313;

697 [label="EVAL with clause\nleft(node(X1358, X1359, X1360), X1358).\nand substitution\nX1358 -> T584\nX1359 -> T585\nX1360 -> T586\nT574 -> node(T584, T585, T586)\nX1311 -> T584\nT581 -> T584\nT582 -> T585\nT583 -> T586", fontsize=14, style = filled, fillcolor = lightblue];
311 -> 697 [arrowhead = none ];
697 -> 324;

698 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
311 -> 698 [arrowhead = none ];
698 -> 325;

699 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
312 -> 699 [arrowhead = none ];
699 -> 314;

700 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
314 -> 700 [arrowhead = none ];
700 -> 315;

701 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
314 -> 701 [arrowhead = none ];
701 -> 316;

702 [label="ONLY EVAL with clause\nright(nil, nil).\nand substitution\nX1309 -> nil", fontsize=14, style = filled, fillcolor = white];
315 -> 702 [arrowhead = none ];
702 -> 317;

703 [label="BACKTRACK\nfor clause: right(node(X11, X12, R), R)because of non-unification", fontsize=14, style = filled, fillcolor = white];
316 -> 703 [arrowhead = none ];
703 -> 323;

704 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
317 -> 704 [arrowhead = none ];
704 -> 318;

705 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
318 -> 705 [arrowhead = none ];
705 -> 319;

706 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
318 -> 706 [arrowhead = none ];
706 -> 320;

707 [label="ONLY EVAL with clause\nvalue(nil, nil).\nand substitution\nX1312 -> nil", fontsize=14, style = filled, fillcolor = white];
319 -> 707 [arrowhead = none ];
707 -> 321;

708 [label="BACKTRACK\nfor clause: value(node(X13, X, X14), X)because of non-unification", fontsize=14, style = filled, fillcolor = white];
320 -> 708 [arrowhead = none ];
708 -> 322;

709 [label="INSTANCE with matching:\nT451 -> nil\nX919 -> X1310\nX921 -> X1313", fontsize=14, style = filled, fillcolor = lightgrey];
321 -> 709 [arrowhead = none , style=dashed];
709 -> 217[style=dashed];

710 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
324 -> 710 [arrowhead = none ];
710 -> 326;

711 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
326 -> 711 [arrowhead = none ];
711 -> 327;

712 [label="ONLY EVAL with clause\nright(node(X1378, X1379, X1380), X1380).\nand substitution\nT584 -> T599\nX1378 -> T599\nT585 -> T600\nX1379 -> T600\nT586 -> T601\nX1380 -> T601\nX1309 -> T601\nT596 -> T599\nT597 -> T600\nT598 -> T601", fontsize=14, style = filled, fillcolor = white];
327 -> 712 [arrowhead = none ];
712 -> 328;

713 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
328 -> 713 [arrowhead = none ];
713 -> 329;

714 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
329 -> 714 [arrowhead = none ];
714 -> 330;

715 [label="ONLY EVAL with clause\nvalue(node(X1395, X1396, X1397), X1396).\nand substitution\nT599 -> T609\nX1395 -> T609\nT600 -> T610\nX1396 -> T610\nT601 -> T612\nX1397 -> T612\nX1312 -> T610\nT611 -> T612", fontsize=14, style = filled, fillcolor = white];
330 -> 715 [arrowhead = none ];
715 -> 331;

716 [label="INSTANCE with matching:\nT451 -> T612\nX919 -> X1310\nX921 -> X1313", fontsize=14, style = filled, fillcolor = lightgrey];
331 -> 716 [arrowhead = none , style=dashed];
716 -> 217[style=dashed];

717 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
332 -> 717 [arrowhead = none ];
717 -> 333;

718 [label="BACKTRACK\nfor clause: left(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
333 -> 718 [arrowhead = none ];
718 -> 334;

719 [label="EVAL with clause\nleft(node(X1443, X1444, X1445), X1443).\nand substitution\nT621 -> node(nil, T629, nil)\nX1443 -> node(nil, T629, nil)\nX1428 -> X1446\nX1444 -> X1446\nX1445 -> node(nil, T629, nil)\nT622 -> T629\nT627 -> node(nil, T629, nil)\nT628 -> T629", fontsize=14, style = filled, fillcolor = lightblue];
334 -> 719 [arrowhead = none ];
719 -> 335;

720 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
334 -> 720 [arrowhead = none ];
720 -> 336;

721 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
335 -> 721 [arrowhead = none ];
721 -> 337;

722 [label="BACKTRACK\nfor clause: right(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
337 -> 722 [arrowhead = none ];
722 -> 338;

723 [label="ONLY EVAL with clause\nright(node(X1471, X1472, X1473), X1473).\nand substitution\nT629 -> T635\nX1471 -> node(nil, T635, nil)\nX1446 -> X1474\nX1472 -> X1474\nX1473 -> node(nil, T635, nil)\nX1426 -> node(nil, T635, nil)\nT634 -> T635", fontsize=14, style = filled, fillcolor = white];
338 -> 723 [arrowhead = none ];
723 -> 339;

724 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
339 -> 724 [arrowhead = none ];
724 -> 340;

725 [label="BACKTRACK\nfor clause: value(nil, nil)because of non-unification", fontsize=14, style = filled, fillcolor = white];
340 -> 725 [arrowhead = none ];
725 -> 341;

726 [label="ONLY EVAL with clause\nvalue(node(X1501, X1502, X1503), X1502).\nand substitution\nT635 -> T642\nX1501 -> node(nil, T642, nil)\nX1474 -> X1504\nX1502 -> X1504\nX1503 -> node(nil, T642, nil)\nX1429 -> X1504\nT641 -> T642", fontsize=14, style = filled, fillcolor = white];
341 -> 726 [arrowhead = none ];
726 -> 342;

727 [label="INSTANCE with matching:\nT451 -> node(nil, T642, nil)\nX919 -> X1427\nX921 -> X1430", fontsize=14, style = filled, fillcolor = lightgrey];
342 -> 727 [arrowhead = none , style=dashed];
727 -> 217[style=dashed];

728 [label="ONLY EVAL with clause\ns2t(X1542, node(nil, X1543, X1544)) :- ','(p(X1542, X1545), s2t(X1545, X1544)).\nand substitution\nT10 -> T650\nX1542 -> T650\nX1543 -> X1546\nX1544 -> X1547\nX21 -> node(nil, X1546, X1547)", fontsize=14, style = filled, fillcolor = white];
343 -> 728 [arrowhead = none ];
728 -> 345;

729 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
344 -> 729 [arrowhead = none ];
729 -> 356;

730 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
344 -> 730 [arrowhead = none ];
730 -> 357;

731 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
345 -> 731 [arrowhead = none ];
731 -> 346;

732 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (s2t(T650, X21), s2t(0, X26))", fontsize=14, style = filled, fillcolor = white];
346 -> 732 [arrowhead = none ];
732 -> 347;

733 [label="EVAL with clause\np(s(X1552), X1552).\nand substitution\nX1552 -> T653\nT650 -> s(T653)\nX1545 -> T653", fontsize=14, style = filled, fillcolor = lightblue];
347 -> 733 [arrowhead = none ];
733 -> 348;

734 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
347 -> 734 [arrowhead = none ];
734 -> 349;

735 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
348 -> 735 [arrowhead = none ];
735 -> 350;

736 [label="SPLIT 2\nreplacements:\nX1547 -> T654", fontsize=14, style = filled, fillcolor = violet];
348 -> 736 [arrowhead = none ];
736 -> 351;

737 [label="INSTANCE with matching:\nT98 -> T653\nX162 -> X1547", fontsize=14, style = filled, fillcolor = lightgrey];
350 -> 737 [arrowhead = none , style=dashed];
737 -> 39[style=dashed];

738 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
351 -> 738 [arrowhead = none ];
738 -> 352;

739 [label="ONLY EVAL with clause\ntapplast(X1581, X1582, X1583) :- ','(tappend(X1581, node(nil, X1582, nil), X1584), tlast(X1583, X1584)).\nand substitution\nX1546 -> X1585\nT654 -> T672\nX1581 -> node(nil, X1585, T672)\nT13 -> T673\nX1582 -> T673\nT14 -> T674\nX1583 -> T674\nT669 -> T672\nT670 -> T673\nT671 -> T674", fontsize=14, style = filled, fillcolor = white];
352 -> 739 [arrowhead = none ];
739 -> 353;

740 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
353 -> 740 [arrowhead = none ];
740 -> 354;

741 [label="SPLIT 2\nreplacements:\nX1585 -> T677\nX1584 -> T678\nT674 -> T679", fontsize=14, style = filled, fillcolor = violet];
353 -> 741 [arrowhead = none ];
741 -> 355;

742 [label="INSTANCE with matching:\nT234 -> node(nil, X1585, T672)\nT235 -> T673\nX563 -> X1584", fontsize=14, style = filled, fillcolor = lightgrey];
354 -> 742 [arrowhead = none , style=dashed];
742 -> 116[style=dashed];

743 [label="INSTANCE with matching:\nT34 -> T679\nT33 -> T678", fontsize=14, style = filled, fillcolor = lightgrey];
355 -> 743 [arrowhead = none , style=dashed];
743 -> 13[style=dashed];

744 [label="ONLY EVAL with clause\ns2t(X1632, node(X1633, X1634, nil)) :- ','(p(X1632, X1635), s2t(X1635, X1633)).\nand substitution\nT10 -> T688\nX1632 -> T688\nX1633 -> X1636\nX1634 -> X1637\nX21 -> node(X1636, X1637, nil)", fontsize=14, style = filled, fillcolor = white];
356 -> 744 [arrowhead = none ];
744 -> 358;

745 [label="ONLY EVAL with clause\ns2t(X1707, node(nil, X1708, nil)).\nand substitution\nT10 -> T726\nX1707 -> T726\nX1708 -> X1709\nX21 -> node(nil, X1709, nil)", fontsize=14, style = filled, fillcolor = white];
357 -> 745 [arrowhead = none ];
745 -> 369;

746 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
358 -> 746 [arrowhead = none ];
746 -> 359;

747 [label="BACKTRACK\nfor clause: p(0, 0)\nwith clash: (s2t(T688, X21), s2t(0, X26))", fontsize=14, style = filled, fillcolor = white];
359 -> 747 [arrowhead = none ];
747 -> 360;

748 [label="EVAL with clause\np(s(X1642), X1642).\nand substitution\nX1642 -> T691\nT688 -> s(T691)\nX1635 -> T691", fontsize=14, style = filled, fillcolor = lightblue];
360 -> 748 [arrowhead = none ];
748 -> 361;

749 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
360 -> 749 [arrowhead = none ];
749 -> 362;

750 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
361 -> 750 [arrowhead = none ];
750 -> 363;

751 [label="SPLIT 2\nreplacements:\nX1636 -> T692", fontsize=14, style = filled, fillcolor = violet];
361 -> 751 [arrowhead = none ];
751 -> 364;

752 [label="INSTANCE with matching:\nT98 -> T691\nX162 -> X1636", fontsize=14, style = filled, fillcolor = lightgrey];
363 -> 752 [arrowhead = none , style=dashed];
752 -> 39[style=dashed];

753 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
364 -> 753 [arrowhead = none ];
753 -> 365;

754 [label="ONLY EVAL with clause\ntapplast(X1671, X1672, X1673) :- ','(tappend(X1671, node(nil, X1672, nil), X1674), tlast(X1673, X1674)).\nand substitution\nT692 -> T710\nX1637 -> X1675\nX1671 -> node(T710, X1675, nil)\nT13 -> T711\nX1672 -> T711\nT14 -> T712\nX1673 -> T712\nT707 -> T710\nT708 -> T711\nT709 -> T712", fontsize=14, style = filled, fillcolor = white];
365 -> 754 [arrowhead = none ];
754 -> 366;

755 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
366 -> 755 [arrowhead = none ];
755 -> 367;

756 [label="SPLIT 2\nreplacements:\nX1675 -> T715\nX1674 -> T716\nT712 -> T717", fontsize=14, style = filled, fillcolor = violet];
366 -> 756 [arrowhead = none ];
756 -> 368;

757 [label="INSTANCE with matching:\nT234 -> node(T710, X1675, nil)\nT235 -> T711\nX563 -> X1674", fontsize=14, style = filled, fillcolor = lightgrey];
367 -> 757 [arrowhead = none , style=dashed];
757 -> 116[style=dashed];

758 [label="INSTANCE with matching:\nT34 -> T717\nT33 -> T716", fontsize=14, style = filled, fillcolor = lightgrey];
368 -> 758 [arrowhead = none , style=dashed];
758 -> 13[style=dashed];

759 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
369 -> 759 [arrowhead = none ];
759 -> 370;

760 [label="ONLY EVAL with clause\ntapplast(X1733, X1734, X1735) :- ','(tappend(X1733, node(nil, X1734, nil), X1736), tlast(X1735, X1736)).\nand substitution\nX1709 -> X1737\nX1733 -> node(nil, X1737, nil)\nT13 -> T738\nX1734 -> T738\nT14 -> T739\nX1735 -> T739\nT736 -> T738\nT737 -> T739", fontsize=14, style = filled, fillcolor = white];
370 -> 760 [arrowhead = none ];
760 -> 371;

761 [label="INSTANCE with matching:\nT144 -> nil\nX343 -> X1737\nT145 -> T738\nX342 -> X1736\nT146 -> T739", fontsize=14, style = filled, fillcolor = lightgrey];
371 -> 761 [arrowhead = none , style=dashed];
761 -> 72[style=dashed];

}

(2) Obligation:

Triples:

tlast13(T71, node(T72, T69, T70)) :- tlast13(T71, T72).
tlast13(T87, node(T84, T85, T88)) :- tlast13(T87, T88).
s2t39(s(T107), node(X217, X218, X217)) :- s2t39(T107, X217).
s2t39(s(T115), node(nil, X257, X258)) :- s2t39(T115, X258).
s2t39(s(T123), node(X297, X298, nil)) :- s2t39(T123, X297).
tappend116(nil, T345, node(X818, nil, nil)) :- tappend12(T345, X818).
tappend116(node(T398, T396, T397), T399, node(X818, T396, T397)) :- tappend116(T398, T399, X818).
tappend116(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) :- tappend217(T451, X919, X921).
tappend217(nil, X1193, node(X1194, nil, nil)) :- tappend217(nil, X1193, X1194).
tappend217(node(T569, T567, T568), X1193, node(X1194, T567, T568)) :- tappend217(T569, X1193, X1194).
tappend217(nil, nil, node(nil, nil, X1313)) :- tappend217(nil, X1310, X1313).
tappend217(node(T609, T610, T612), T609, node(T609, T610, X1313)) :- tappend217(T612, X1310, X1313).
p72(T234, X619, T235, node(X563, X619, T234), T146) :- tappend116(T234, T235, X563).
p72(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430), T146) :- tappend217(node(nil, T642, nil), X1427, X1430).
p72(T144, T149, T145, T150, T151) :- ','(tappendc73(T144, T149, T145, T150), tlast13(T151, T150)).
goal1(0, T30, T31) :- tappend12(T30, X61).
goal1(0, T30, T34) :- ','(tappendc12(T30, T33), tlast13(T34, T33)).
goal1(s(T98), T13, T14) :- s2t39(T98, X162).
goal1(s(T98), T145, T146) :- ','(s2tc39(T98, T144), p72(T144, X343, T145, X342, T146)).
goal1(s(T653), T13, T14) :- s2t39(T653, X1547).
goal1(s(T653), T673, T674) :- ','(s2tc39(T653, T672), tappend116(node(nil, X1585, T672), T673, X1584)).
goal1(s(T653), T673, T679) :- ','(s2tc39(T653, T672), ','(tappendc116(node(nil, T677, T672), T673, T678), tlast13(T679, T678))).
goal1(s(T691), T13, T14) :- s2t39(T691, X1636).
goal1(s(T691), T711, T712) :- ','(s2tc39(T691, T710), tappend116(node(T710, X1675, nil), T711, X1674)).
goal1(s(T691), T711, T717) :- ','(s2tc39(T691, T710), ','(tappendc116(node(T710, T715, nil), T711, T716), tlast13(T717, T716))).
goal1(T726, T738, T739) :- p72(nil, X1737, T738, X1736, T739).

Clauses:

tlastc13(T50, node(nil, T50, nil)).
tlastc13(T71, node(T72, T69, T70)) :- tlastc13(T71, T72).
tlastc13(T87, node(T84, T85, T88)) :- tlastc13(T87, T88).
s2tc39(0, nil).
s2tc39(s(T107), node(X217, X218, X217)) :- s2tc39(T107, X217).
s2tc39(s(T115), node(nil, X257, X258)) :- s2tc39(T115, X258).
s2tc39(s(T123), node(X297, X298, nil)) :- s2tc39(T123, X297).
s2tc39(T126, node(nil, X315, nil)).
tappendc12(T43, node(nil, T43, nil)).
tappendc116(nil, T243, node(nil, T243, nil)).
tappendc116(nil, T255, node(node(nil, T255, nil), nil, nil)).
tappendc116(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)).
tappendc116(nil, T295, node(nil, nil, node(nil, T295, nil))).
tappendc116(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))).
tappendc116(nil, T345, node(X818, nil, nil)) :- tappendc12(T345, X818).
tappendc116(node(T398, T396, T397), T399, node(X818, T396, T397)) :- tappendc116(T398, T399, X818).
tappendc116(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) :- tappendc217(T451, X919, X921).
tappendc217(nil, X995, X995).
tappendc217(nil, X1028, node(X1028, nil, nil)).
tappendc217(node(nil, T485, T486), X1028, node(X1028, T485, T486)).
tappendc217(nil, X1099, node(nil, nil, X1099)).
tappendc217(node(T522, T523, nil), X1099, node(T522, T523, X1099)).
tappendc217(nil, X1193, node(X1194, nil, nil)) :- tappendc217(nil, X1193, X1194).
tappendc217(node(T569, T567, T568), X1193, node(X1194, T567, T568)) :- tappendc217(T569, X1193, X1194).
tappendc217(nil, nil, node(nil, nil, X1313)) :- tappendc217(nil, X1310, X1313).
tappendc217(node(T609, T610, T612), T609, node(T609, T610, X1313)) :- tappendc217(T612, X1310, X1313).
qc72(T144, T149, T145, T150, T151) :- ','(tappendc73(T144, T149, T145, T150), tlastc13(T151, T150)).
tappendc73(nil, X437, T165, node(node(nil, T165, nil), X437, nil)).
tappendc73(nil, X511, T181, node(nil, X511, node(nil, T181, nil))).
tappendc73(T234, X619, T235, node(X563, X619, T234)) :- tappendc116(T234, T235, X563).
tappendc73(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) :- tappendc217(node(nil, T642, nil), X1427, X1430).

Afs:

goal1(x1, x2, x3) = goal1(x1)

(3) UndefinedPredicateInTriplesTransformerProof (SOUND transformation)

Deleted triples and predicates having undefined goals [UNKNOWN].

(4) Obligation:

Triples:

tlast13(T71, node(T72, T69, T70)) :- tlast13(T71, T72).
tlast13(T87, node(T84, T85, T88)) :- tlast13(T87, T88).
s2t39(s(T107), node(X217, X218, X217)) :- s2t39(T107, X217).
s2t39(s(T115), node(nil, X257, X258)) :- s2t39(T115, X258).
s2t39(s(T123), node(X297, X298, nil)) :- s2t39(T123, X297).
tappend116(node(T398, T396, T397), T399, node(X818, T396, T397)) :- tappend116(T398, T399, X818).
tappend116(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) :- tappend217(T451, X919, X921).
tappend217(nil, X1193, node(X1194, nil, nil)) :- tappend217(nil, X1193, X1194).
tappend217(node(T569, T567, T568), X1193, node(X1194, T567, T568)) :- tappend217(T569, X1193, X1194).
tappend217(nil, nil, node(nil, nil, X1313)) :- tappend217(nil, X1310, X1313).
tappend217(node(T609, T610, T612), T609, node(T609, T610, X1313)) :- tappend217(T612, X1310, X1313).
p72(T234, X619, T235, node(X563, X619, T234), T146) :- tappend116(T234, T235, X563).
p72(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430), T146) :- tappend217(node(nil, T642, nil), X1427, X1430).
p72(T144, T149, T145, T150, T151) :- ','(tappendc73(T144, T149, T145, T150), tlast13(T151, T150)).
goal1(0, T30, T34) :- ','(tappendc12(T30, T33), tlast13(T34, T33)).
goal1(s(T98), T13, T14) :- s2t39(T98, X162).
goal1(s(T98), T145, T146) :- ','(s2tc39(T98, T144), p72(T144, X343, T145, X342, T146)).
goal1(s(T653), T13, T14) :- s2t39(T653, X1547).
goal1(s(T653), T673, T674) :- ','(s2tc39(T653, T672), tappend116(node(nil, X1585, T672), T673, X1584)).
goal1(s(T653), T673, T679) :- ','(s2tc39(T653, T672), ','(tappendc116(node(nil, T677, T672), T673, T678), tlast13(T679, T678))).
goal1(s(T691), T13, T14) :- s2t39(T691, X1636).
goal1(s(T691), T711, T712) :- ','(s2tc39(T691, T710), tappend116(node(T710, X1675, nil), T711, X1674)).
goal1(s(T691), T711, T717) :- ','(s2tc39(T691, T710), ','(tappendc116(node(T710, T715, nil), T711, T716), tlast13(T717, T716))).
goal1(T726, T738, T739) :- p72(nil, X1737, T738, X1736, T739).

Clauses:

tlastc13(T50, node(nil, T50, nil)).
tlastc13(T71, node(T72, T69, T70)) :- tlastc13(T71, T72).
tlastc13(T87, node(T84, T85, T88)) :- tlastc13(T87, T88).
s2tc39(0, nil).
s2tc39(s(T107), node(X217, X218, X217)) :- s2tc39(T107, X217).
s2tc39(s(T115), node(nil, X257, X258)) :- s2tc39(T115, X258).
s2tc39(s(T123), node(X297, X298, nil)) :- s2tc39(T123, X297).
s2tc39(T126, node(nil, X315, nil)).
tappendc12(T43, node(nil, T43, nil)).
tappendc116(nil, T243, node(nil, T243, nil)).
tappendc116(nil, T255, node(node(nil, T255, nil), nil, nil)).
tappendc116(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)).
tappendc116(nil, T295, node(nil, nil, node(nil, T295, nil))).
tappendc116(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))).
tappendc116(nil, T345, node(X818, nil, nil)) :- tappendc12(T345, X818).
tappendc116(node(T398, T396, T397), T399, node(X818, T396, T397)) :- tappendc116(T398, T399, X818).
tappendc116(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) :- tappendc217(T451, X919, X921).
tappendc217(nil, X995, X995).
tappendc217(nil, X1028, node(X1028, nil, nil)).
tappendc217(node(nil, T485, T486), X1028, node(X1028, T485, T486)).
tappendc217(nil, X1099, node(nil, nil, X1099)).
tappendc217(node(T522, T523, nil), X1099, node(T522, T523, X1099)).
tappendc217(nil, X1193, node(X1194, nil, nil)) :- tappendc217(nil, X1193, X1194).
tappendc217(node(T569, T567, T568), X1193, node(X1194, T567, T568)) :- tappendc217(T569, X1193, X1194).
tappendc217(nil, nil, node(nil, nil, X1313)) :- tappendc217(nil, X1310, X1313).
tappendc217(node(T609, T610, T612), T609, node(T609, T610, X1313)) :- tappendc217(T612, X1310, X1313).
qc72(T144, T149, T145, T150, T151) :- ','(tappendc73(T144, T149, T145, T150), tlastc13(T151, T150)).
tappendc73(nil, X437, T165, node(node(nil, T165, nil), X437, nil)).
tappendc73(nil, X511, T181, node(nil, X511, node(nil, T181, nil))).
tappendc73(T234, X619, T235, node(X563, X619, T234)) :- tappendc116(T234, T235, X563).
tappendc73(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) :- tappendc217(node(nil, T642, nil), X1427, X1430).

Afs:

goal1(x1, x2, x3) = goal1(x1)

(5) TriplesToPiDPProof (SOUND transformation)

We use the technique of [LOPSTR]. With regard to the inferred argument filtering the predicates were used in the following modes:
goal1_in: (b,f,f)
tlast13_in: (f,f)
s2t39_in: (b,f)
s2tc39_in: (b,f)
p72_in: (f,f,f,f,f) (b,f,f,f,f)
tappend116_in: (f,f,f) (b,f,f)
tappend217_in: (f,f,f) (b,f,f)
tappendc73_in: (f,f,f,f) (b,f,f,f)
tappendc116_in: (f,f,f) (b,f,f)
tappendc217_in: (f,f,f) (b,f,f)
Transforming TRIPLES into the following Term Rewriting System:
Pi DP problem:
The TRS P consists of the following rules:

GOAL1_IN_GAA(0, T30, T34) → U16_GAA(T30, T34, tappendc12_in_aa(T30, T33))
U16_GAA(T30, T34, tappendc12_out_aa(T30, T33)) → U17_GAA(T30, T34, tlast13_in_aa(T34, T33))
U16_GAA(T30, T34, tappendc12_out_aa(T30, T33)) → TLAST13_IN_AA(T34, T33)
TLAST13_IN_AA(T71, node(T72, T69, T70)) → U1_AA(T71, T72, T69, T70, tlast13_in_aa(T71, T72))
TLAST13_IN_AA(T71, node(T72, T69, T70)) → TLAST13_IN_AA(T71, T72)
TLAST13_IN_AA(T87, node(T84, T85, T88)) → U2_AA(T87, T84, T85, T88, tlast13_in_aa(T87, T88))
TLAST13_IN_AA(T87, node(T84, T85, T88)) → TLAST13_IN_AA(T87, T88)
GOAL1_IN_GAA(s(T98), T13, T14) → U18_GAA(T98, T13, T14, s2t39_in_ga(T98, X162))
GOAL1_IN_GAA(s(T98), T13, T14) → S2T39_IN_GA(T98, X162)
S2T39_IN_GA(s(T107), node(X217, X218, X217)) → U3_GA(T107, X217, X218, s2t39_in_ga(T107, X217))
S2T39_IN_GA(s(T107), node(X217, X218, X217)) → S2T39_IN_GA(T107, X217)
S2T39_IN_GA(s(T115), node(nil, X257, X258)) → U4_GA(T115, X257, X258, s2t39_in_ga(T115, X258))
S2T39_IN_GA(s(T115), node(nil, X257, X258)) → S2T39_IN_GA(T115, X258)
S2T39_IN_GA(s(T123), node(X297, X298, nil)) → U5_GA(T123, X297, X298, s2t39_in_ga(T123, X297))
S2T39_IN_GA(s(T123), node(X297, X298, nil)) → S2T39_IN_GA(T123, X297)
GOAL1_IN_GAA(s(T98), T145, T146) → U19_GAA(T98, T145, T146, s2tc39_in_ga(T98, T144))
U19_GAA(T98, T145, T146, s2tc39_out_ga(T98, T144)) → U20_GAA(T98, T145, T146, p72_in_aaaaa(T144, X343, T145, X342, T146))
U19_GAA(T98, T145, T146, s2tc39_out_ga(T98, T144)) → P72_IN_AAAAA(T144, X343, T145, X342, T146)
P72_IN_AAAAA(T234, X619, T235, node(X563, X619, T234), T146) → U12_AAAAA(T234, X619, T235, X563, T146, tappend116_in_aaa(T234, T235, X563))
P72_IN_AAAAA(T234, X619, T235, node(X563, X619, T234), T146) → TAPPEND116_IN_AAA(T234, T235, X563)
TAPPEND116_IN_AAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → U6_AAA(T398, T396, T397, T399, X818, tappend116_in_aaa(T398, T399, X818))
TAPPEND116_IN_AAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → TAPPEND116_IN_AAA(T398, T399, X818)
TAPPEND116_IN_AAA(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U7_AAA(T448, T449, T451, X921, tappend217_in_aaa(T451, X919, X921))
TAPPEND116_IN_AAA(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → TAPPEND217_IN_AAA(T451, X919, X921)
TAPPEND217_IN_AAA(nil, X1193, node(X1194, nil, nil)) → U8_AAA(X1193, X1194, tappend217_in_gaa(nil, X1193, X1194))
TAPPEND217_IN_AAA(nil, X1193, node(X1194, nil, nil)) → TAPPEND217_IN_GAA(nil, X1193, X1194)
TAPPEND217_IN_GAA(nil, X1193, node(X1194, nil, nil)) → U8_GAA(X1193, X1194, tappend217_in_gaa(nil, X1193, X1194))
TAPPEND217_IN_GAA(nil, X1193, node(X1194, nil, nil)) → TAPPEND217_IN_GAA(nil, X1193, X1194)
TAPPEND217_IN_GAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U9_GAA(T569, T567, T568, X1193, X1194, tappend217_in_gaa(T569, X1193, X1194))
TAPPEND217_IN_GAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → TAPPEND217_IN_GAA(T569, X1193, X1194)
TAPPEND217_IN_GAA(nil, nil, node(nil, nil, X1313)) → U10_GAA(X1313, tappend217_in_gaa(nil, X1310, X1313))
TAPPEND217_IN_GAA(nil, nil, node(nil, nil, X1313)) → TAPPEND217_IN_GAA(nil, X1310, X1313)
TAPPEND217_IN_GAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U11_GAA(T609, T610, T612, X1313, tappend217_in_gaa(T612, X1310, X1313))
TAPPEND217_IN_GAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → TAPPEND217_IN_GAA(T612, X1310, X1313)
TAPPEND217_IN_AAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U9_AAA(T569, T567, T568, X1193, X1194, tappend217_in_aaa(T569, X1193, X1194))
TAPPEND217_IN_AAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → TAPPEND217_IN_AAA(T569, X1193, X1194)
TAPPEND217_IN_AAA(nil, nil, node(nil, nil, X1313)) → U10_AAA(X1313, tappend217_in_gaa(nil, X1310, X1313))
TAPPEND217_IN_AAA(nil, nil, node(nil, nil, X1313)) → TAPPEND217_IN_GAA(nil, X1310, X1313)
TAPPEND217_IN_AAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U11_AAA(T609, T610, T612, X1313, tappend217_in_aaa(T612, X1310, X1313))
TAPPEND217_IN_AAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → TAPPEND217_IN_AAA(T612, X1310, X1313)
P72_IN_AAAAA(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430), T146) → U13_AAAAA(T642, X1504, X1430, T146, tappend217_in_aaa(node(nil, T642, nil), X1427, X1430))
P72_IN_AAAAA(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430), T146) → TAPPEND217_IN_AAA(node(nil, T642, nil), X1427, X1430)
P72_IN_AAAAA(T144, T149, T145, T150, T151) → U14_AAAAA(T144, T149, T145, T150, T151, tappendc73_in_aaaa(T144, T149, T145, T150))
U14_AAAAA(T144, T149, T145, T150, T151, tappendc73_out_aaaa(T144, T149, T145, T150)) → U15_AAAAA(T144, T149, T145, T150, T151, tlast13_in_aa(T151, T150))
U14_AAAAA(T144, T149, T145, T150, T151, tappendc73_out_aaaa(T144, T149, T145, T150)) → TLAST13_IN_AA(T151, T150)
GOAL1_IN_GAA(s(T653), T13, T14) → U21_GAA(T653, T13, T14, s2t39_in_ga(T653, X1547))
GOAL1_IN_GAA(s(T653), T673, T674) → U22_GAA(T653, T673, T674, s2tc39_in_ga(T653, T672))
U22_GAA(T653, T673, T674, s2tc39_out_ga(T653, T672)) → U23_GAA(T653, T673, T674, tappend116_in_aaa(node(nil, X1585, T672), T673, X1584))
U22_GAA(T653, T673, T674, s2tc39_out_ga(T653, T672)) → TAPPEND116_IN_AAA(node(nil, X1585, T672), T673, X1584)
GOAL1_IN_GAA(s(T653), T673, T679) → U24_GAA(T653, T673, T679, s2tc39_in_ga(T653, T672))
U24_GAA(T653, T673, T679, s2tc39_out_ga(T653, T672)) → U25_GAA(T653, T673, T679, tappendc116_in_aaa(node(nil, T677, T672), T673, T678))
U25_GAA(T653, T673, T679, tappendc116_out_aaa(node(nil, T677, T672), T673, T678)) → U26_GAA(T653, T673, T679, tlast13_in_aa(T679, T678))
U25_GAA(T653, T673, T679, tappendc116_out_aaa(node(nil, T677, T672), T673, T678)) → TLAST13_IN_AA(T679, T678)
GOAL1_IN_GAA(s(T691), T13, T14) → U27_GAA(T691, T13, T14, s2t39_in_ga(T691, X1636))
GOAL1_IN_GAA(s(T691), T711, T712) → U28_GAA(T691, T711, T712, s2tc39_in_ga(T691, T710))
U28_GAA(T691, T711, T712, s2tc39_out_ga(T691, T710)) → U29_GAA(T691, T711, T712, tappend116_in_aaa(node(T710, X1675, nil), T711, X1674))
U28_GAA(T691, T711, T712, s2tc39_out_ga(T691, T710)) → TAPPEND116_IN_AAA(node(T710, X1675, nil), T711, X1674)
GOAL1_IN_GAA(s(T691), T711, T717) → U30_GAA(T691, T711, T717, s2tc39_in_ga(T691, T710))
U30_GAA(T691, T711, T717, s2tc39_out_ga(T691, T710)) → U31_GAA(T691, T711, T717, tappendc116_in_aaa(node(T710, T715, nil), T711, T716))
U31_GAA(T691, T711, T717, tappendc116_out_aaa(node(T710, T715, nil), T711, T716)) → U32_GAA(T691, T711, T717, tlast13_in_aa(T717, T716))
U31_GAA(T691, T711, T717, tappendc116_out_aaa(node(T710, T715, nil), T711, T716)) → TLAST13_IN_AA(T717, T716)
GOAL1_IN_GAA(T726, T738, T739) → U33_GAA(T726, T738, T739, p72_in_gaaaa(nil, X1737, T738, X1736, T739))
GOAL1_IN_GAA(T726, T738, T739) → P72_IN_GAAAA(nil, X1737, T738, X1736, T739)
P72_IN_GAAAA(T234, X619, T235, node(X563, X619, T234), T146) → U12_GAAAA(T234, X619, T235, X563, T146, tappend116_in_gaa(T234, T235, X563))
P72_IN_GAAAA(T234, X619, T235, node(X563, X619, T234), T146) → TAPPEND116_IN_GAA(T234, T235, X563)
TAPPEND116_IN_GAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → U6_GAA(T398, T396, T397, T399, X818, tappend116_in_gaa(T398, T399, X818))
TAPPEND116_IN_GAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → TAPPEND116_IN_GAA(T398, T399, X818)
TAPPEND116_IN_GAA(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U7_GAA(T448, T449, T451, X921, tappend217_in_gaa(T451, X919, X921))
TAPPEND116_IN_GAA(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → TAPPEND217_IN_GAA(T451, X919, X921)
P72_IN_GAAAA(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430), T146) → U13_GAAAA(T642, X1504, X1430, T146, tappend217_in_gaa(node(nil, T642, nil), X1427, X1430))
P72_IN_GAAAA(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430), T146) → TAPPEND217_IN_GAA(node(nil, T642, nil), X1427, X1430)
P72_IN_GAAAA(T144, T149, T145, T150, T151) → U14_GAAAA(T144, T149, T145, T150, T151, tappendc73_in_gaaa(T144, T149, T145, T150))
U14_GAAAA(T144, T149, T145, T150, T151, tappendc73_out_gaaa(T144, T149, T145, T150)) → U15_GAAAA(T144, T149, T145, T150, T151, tlast13_in_aa(T151, T150))
U14_GAAAA(T144, T149, T145, T150, T151, tappendc73_out_gaaa(T144, T149, T145, T150)) → TLAST13_IN_AA(T151, T150)

The TRS R consists of the following rules:

tappendc12_in_aa(T43, node(nil, T43, nil)) → tappendc12_out_aa(T43, node(nil, T43, nil))
s2tc39_in_ga(0, nil) → s2tc39_out_ga(0, nil)
s2tc39_in_ga(s(T107), node(X217, X218, X217)) → U37_ga(T107, X217, X218, s2tc39_in_ga(T107, X217))
s2tc39_in_ga(s(T115), node(nil, X257, X258)) → U38_ga(T115, X257, X258, s2tc39_in_ga(T115, X258))
s2tc39_in_ga(s(T123), node(X297, X298, nil)) → U39_ga(T123, X297, X298, s2tc39_in_ga(T123, X297))
s2tc39_in_ga(T126, node(nil, X315, nil)) → s2tc39_out_ga(T126, node(nil, X315, nil))
U39_ga(T123, X297, X298, s2tc39_out_ga(T123, X297)) → s2tc39_out_ga(s(T123), node(X297, X298, nil))
U38_ga(T115, X257, X258, s2tc39_out_ga(T115, X258)) → s2tc39_out_ga(s(T115), node(nil, X257, X258))
U37_ga(T107, X217, X218, s2tc39_out_ga(T107, X217)) → s2tc39_out_ga(s(T107), node(X217, X218, X217))
tappendc73_in_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_aaaa(T234, X619, T235, node(X563, X619, T234)) → U49_aaaa(T234, X619, T235, X563, tappendc116_in_aaa(T234, T235, X563))
tappendc116_in_aaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_aaa(nil, T243, node(nil, T243, nil))
tappendc116_in_aaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_aaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_aaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_aaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_aaa(nil, T345, node(X818, nil, nil)) → U40_aaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_aaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_aaa(nil, T345, node(X818, nil, nil))
tappendc116_in_aaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_aaa(T398, T396, T397, T399, X818, tappendc116_in_aaa(T398, T399, X818))
tappendc116_in_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_aaa(T448, T449, T451, X921, tappendc217_in_aaa(T451, X919, X921))
tappendc217_in_aaa(nil, X995, X995) → tappendc217_out_aaa(nil, X995, X995)
tappendc217_in_aaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_aaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_aaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_aaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_aaa(nil, X1193, node(X1194, nil, nil)) → U43_aaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(nil, X995, X995) → tappendc217_out_gaa(nil, X995, X995)
tappendc217_in_gaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_gaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_gaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_gaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_gaa(nil, X1193, node(X1194, nil, nil)) → U43_gaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_in_gaa(T569, X1193, X1194))
tappendc217_in_gaa(nil, nil, node(nil, nil, X1313)) → U45_gaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
tappendc217_in_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_gaa(T609, T610, T612, X1313, tappendc217_in_gaa(T612, X1310, X1313))
U46_gaa(T609, T610, T612, X1313, tappendc217_out_gaa(T612, X1310, X1313)) → tappendc217_out_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U45_gaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_gaa(nil, nil, node(nil, nil, X1313))
U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_out_gaa(T569, X1193, X1194)) → tappendc217_out_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U43_gaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_gaa(nil, X1193, node(X1194, nil, nil))
U43_aaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_aaa(nil, X1193, node(X1194, nil, nil))
tappendc217_in_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_in_aaa(T569, X1193, X1194))
tappendc217_in_aaa(nil, nil, node(nil, nil, X1313)) → U45_aaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
U45_aaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_aaa(nil, nil, node(nil, nil, X1313))
tappendc217_in_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_aaa(T609, T610, T612, X1313, tappendc217_in_aaa(T612, X1310, X1313))
U46_aaa(T609, T610, T612, X1313, tappendc217_out_aaa(T612, X1310, X1313)) → tappendc217_out_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_out_aaa(T569, X1193, X1194)) → tappendc217_out_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U42_aaa(T448, T449, T451, X921, tappendc217_out_aaa(T451, X919, X921)) → tappendc116_out_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_aaa(T398, T396, T397, T399, X818, tappendc116_out_aaa(T398, T399, X818)) → tappendc116_out_aaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_aaaa(T234, X619, T235, X563, tappendc116_out_aaa(T234, T235, X563)) → tappendc73_out_aaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_aaaa(T642, X1504, X1430, tappendc217_in_aaa(node(nil, T642, nil), X1427, X1430))
U50_aaaa(T642, X1504, X1430, tappendc217_out_aaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))
tappendc73_in_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_gaaa(T234, X619, T235, node(X563, X619, T234)) → U49_gaaa(T234, X619, T235, X563, tappendc116_in_gaa(T234, T235, X563))
tappendc116_in_gaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_gaa(nil, T243, node(nil, T243, nil))
tappendc116_in_gaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_gaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_gaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_gaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_gaa(nil, T345, node(X818, nil, nil)) → U40_gaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_gaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_gaa(nil, T345, node(X818, nil, nil))
tappendc116_in_gaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_gaa(T398, T396, T397, T399, X818, tappendc116_in_gaa(T398, T399, X818))
tappendc116_in_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_gaa(T448, T449, T451, X921, tappendc217_in_gaa(T451, X919, X921))
U42_gaa(T448, T449, T451, X921, tappendc217_out_gaa(T451, X919, X921)) → tappendc116_out_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_gaa(T398, T396, T397, T399, X818, tappendc116_out_gaa(T398, T399, X818)) → tappendc116_out_gaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_gaaa(T234, X619, T235, X563, tappendc116_out_gaa(T234, T235, X563)) → tappendc73_out_gaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_gaaa(T642, X1504, X1430, tappendc217_in_gaa(node(nil, T642, nil), X1427, X1430))
U50_gaaa(T642, X1504, X1430, tappendc217_out_gaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))

The argument filtering Pi contains the following mapping:
0 = 0
tappendc12_in_aa(x1, x2) = tappendc12_in_aa
tappendc12_out_aa(x1, x2) = tappendc12_out_aa
tlast13_in_aa(x1, x2) = tlast13_in_aa
s(x1) = s(x1)
s2t39_in_ga(x1, x2) = s2t39_in_ga(x1)
s2tc39_in_ga(x1, x2) = s2tc39_in_ga(x1)
s2tc39_out_ga(x1, x2) = s2tc39_out_ga(x1)
U37_ga(x1, x2, x3, x4) = U37_ga(x1, x4)
U38_ga(x1, x2, x3, x4) = U38_ga(x1, x4)
U39_ga(x1, x2, x3, x4) = U39_ga(x1, x4)
p72_in_aaaaa(x1, x2, x3, x4, x5) = p72_in_aaaaa
tappend116_in_aaa(x1, x2, x3) = tappend116_in_aaa
tappend217_in_aaa(x1, x2, x3) = tappend217_in_aaa
tappend217_in_gaa(x1, x2, x3) = tappend217_in_gaa(x1)
nil = nil
node(x1, x2, x3) = node(x1, x2, x3)
tappendc73_in_aaaa(x1, x2, x3, x4) = tappendc73_in_aaaa
tappendc73_out_aaaa(x1, x2, x3, x4) = tappendc73_out_aaaa
U49_aaaa(x1, x2, x3, x4, x5) = U49_aaaa(x5)
tappendc116_in_aaa(x1, x2, x3) = tappendc116_in_aaa
tappendc116_out_aaa(x1, x2, x3) = tappendc116_out_aaa
U40_aaa(x1, x2, x3) = U40_aaa(x3)
U41_aaa(x1, x2, x3, x4, x5, x6) = U41_aaa(x6)
U42_aaa(x1, x2, x3, x4, x5) = U42_aaa(x5)
tappendc217_in_aaa(x1, x2, x3) = tappendc217_in_aaa
tappendc217_out_aaa(x1, x2, x3) = tappendc217_out_aaa
U43_aaa(x1, x2, x3) = U43_aaa(x3)
tappendc217_in_gaa(x1, x2, x3) = tappendc217_in_gaa(x1)
tappendc217_out_gaa(x1, x2, x3) = tappendc217_out_gaa(x1)
U43_gaa(x1, x2, x3) = U43_gaa(x3)
U44_gaa(x1, x2, x3, x4, x5, x6) = U44_gaa(x1, x2, x3, x6)
U45_gaa(x1, x2) = U45_gaa(x2)
U46_gaa(x1, x2, x3, x4, x5) = U46_gaa(x1, x2, x3, x5)
U44_aaa(x1, x2, x3, x4, x5, x6) = U44_aaa(x6)
U45_aaa(x1, x2) = U45_aaa(x2)
U46_aaa(x1, x2, x3, x4, x5) = U46_aaa(x5)
U50_aaaa(x1, x2, x3, x4) = U50_aaaa(x4)
p72_in_gaaaa(x1, x2, x3, x4, x5) = p72_in_gaaaa(x1)
tappend116_in_gaa(x1, x2, x3) = tappend116_in_gaa(x1)
tappendc73_in_gaaa(x1, x2, x3, x4) = tappendc73_in_gaaa(x1)
tappendc73_out_gaaa(x1, x2, x3, x4) = tappendc73_out_gaaa(x1)
U49_gaaa(x1, x2, x3, x4, x5) = U49_gaaa(x1, x5)
tappendc116_in_gaa(x1, x2, x3) = tappendc116_in_gaa(x1)
tappendc116_out_gaa(x1, x2, x3) = tappendc116_out_gaa(x1)
U40_gaa(x1, x2, x3) = U40_gaa(x3)
U41_gaa(x1, x2, x3, x4, x5, x6) = U41_gaa(x1, x2, x3, x6)
U42_gaa(x1, x2, x3, x4, x5) = U42_gaa(x1, x2, x3, x5)
U50_gaaa(x1, x2, x3, x4) = U50_gaaa(x1, x4)
GOAL1_IN_GAA(x1, x2, x3) = GOAL1_IN_GAA(x1)
U16_GAA(x1, x2, x3) = U16_GAA(x3)
U17_GAA(x1, x2, x3) = U17_GAA(x3)
TLAST13_IN_AA(x1, x2) = TLAST13_IN_AA
U1_AA(x1, x2, x3, x4, x5) = U1_AA(x5)
U2_AA(x1, x2, x3, x4, x5) = U2_AA(x5)
U18_GAA(x1, x2, x3, x4) = U18_GAA(x1, x4)
S2T39_IN_GA(x1, x2) = S2T39_IN_GA(x1)
U3_GA(x1, x2, x3, x4) = U3_GA(x1, x4)
U4_GA(x1, x2, x3, x4) = U4_GA(x1, x4)
U5_GA(x1, x2, x3, x4) = U5_GA(x1, x4)
U19_GAA(x1, x2, x3, x4) = U19_GAA(x1, x4)
U20_GAA(x1, x2, x3, x4) = U20_GAA(x1, x4)
P72_IN_AAAAA(x1, x2, x3, x4, x5) = P72_IN_AAAAA
U12_AAAAA(x1, x2, x3, x4, x5, x6) = U12_AAAAA(x6)
TAPPEND116_IN_AAA(x1, x2, x3) = TAPPEND116_IN_AAA
U6_AAA(x1, x2, x3, x4, x5, x6) = U6_AAA(x6)
U7_AAA(x1, x2, x3, x4, x5) = U7_AAA(x5)
TAPPEND217_IN_AAA(x1, x2, x3) = TAPPEND217_IN_AAA
U8_AAA(x1, x2, x3) = U8_AAA(x3)
TAPPEND217_IN_GAA(x1, x2, x3) = TAPPEND217_IN_GAA(x1)
U8_GAA(x1, x2, x3) = U8_GAA(x3)
U9_GAA(x1, x2, x3, x4, x5, x6) = U9_GAA(x1, x2, x3, x6)
U10_GAA(x1, x2) = U10_GAA(x2)
U11_GAA(x1, x2, x3, x4, x5) = U11_GAA(x1, x2, x3, x5)
U9_AAA(x1, x2, x3, x4, x5, x6) = U9_AAA(x6)
U10_AAA(x1, x2) = U10_AAA(x2)
U11_AAA(x1, x2, x3, x4, x5) = U11_AAA(x5)
U13_AAAAA(x1, x2, x3, x4, x5) = U13_AAAAA(x5)
U14_AAAAA(x1, x2, x3, x4, x5, x6) = U14_AAAAA(x6)
U15_AAAAA(x1, x2, x3, x4, x5, x6) = U15_AAAAA(x6)
U21_GAA(x1, x2, x3, x4) = U21_GAA(x1, x4)
U22_GAA(x1, x2, x3, x4) = U22_GAA(x1, x4)
U23_GAA(x1, x2, x3, x4) = U23_GAA(x1, x4)
U24_GAA(x1, x2, x3, x4) = U24_GAA(x1, x4)
U25_GAA(x1, x2, x3, x4) = U25_GAA(x1, x4)
U26_GAA(x1, x2, x3, x4) = U26_GAA(x1, x4)
U27_GAA(x1, x2, x3, x4) = U27_GAA(x1, x4)
U28_GAA(x1, x2, x3, x4) = U28_GAA(x1, x4)
U29_GAA(x1, x2, x3, x4) = U29_GAA(x1, x4)
U30_GAA(x1, x2, x3, x4) = U30_GAA(x1, x4)
U31_GAA(x1, x2, x3, x4) = U31_GAA(x1, x4)
U32_GAA(x1, x2, x3, x4) = U32_GAA(x1, x4)
U33_GAA(x1, x2, x3, x4) = U33_GAA(x1, x4)
P72_IN_GAAAA(x1, x2, x3, x4, x5) = P72_IN_GAAAA(x1)
U12_GAAAA(x1, x2, x3, x4, x5, x6) = U12_GAAAA(x1, x6)
TAPPEND116_IN_GAA(x1, x2, x3) = TAPPEND116_IN_GAA(x1)
U6_GAA(x1, x2, x3, x4, x5, x6) = U6_GAA(x1, x2, x3, x6)
U7_GAA(x1, x2, x3, x4, x5) = U7_GAA(x1, x2, x3, x5)
U13_GAAAA(x1, x2, x3, x4, x5) = U13_GAAAA(x1, x5)
U14_GAAAA(x1, x2, x3, x4, x5, x6) = U14_GAAAA(x1, x6)
U15_GAAAA(x1, x2, x3, x4, x5, x6) = U15_GAAAA(x1, x6)

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

Infinitary Constructor Rewriting Termination of PiDP implies Termination of TRIPLES

(6) Obligation:

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

GOAL1_IN_GAA(0, T30, T34) → U16_GAA(T30, T34, tappendc12_in_aa(T30, T33))
U16_GAA(T30, T34, tappendc12_out_aa(T30, T33)) → U17_GAA(T30, T34, tlast13_in_aa(T34, T33))
U16_GAA(T30, T34, tappendc12_out_aa(T30, T33)) → TLAST13_IN_AA(T34, T33)
TLAST13_IN_AA(T71, node(T72, T69, T70)) → U1_AA(T71, T72, T69, T70, tlast13_in_aa(T71, T72))
TLAST13_IN_AA(T71, node(T72, T69, T70)) → TLAST13_IN_AA(T71, T72)
TLAST13_IN_AA(T87, node(T84, T85, T88)) → U2_AA(T87, T84, T85, T88, tlast13_in_aa(T87, T88))
TLAST13_IN_AA(T87, node(T84, T85, T88)) → TLAST13_IN_AA(T87, T88)
GOAL1_IN_GAA(s(T98), T13, T14) → U18_GAA(T98, T13, T14, s2t39_in_ga(T98, X162))
GOAL1_IN_GAA(s(T98), T13, T14) → S2T39_IN_GA(T98, X162)
S2T39_IN_GA(s(T107), node(X217, X218, X217)) → U3_GA(T107, X217, X218, s2t39_in_ga(T107, X217))
S2T39_IN_GA(s(T107), node(X217, X218, X217)) → S2T39_IN_GA(T107, X217)
S2T39_IN_GA(s(T115), node(nil, X257, X258)) → U4_GA(T115, X257, X258, s2t39_in_ga(T115, X258))
S2T39_IN_GA(s(T115), node(nil, X257, X258)) → S2T39_IN_GA(T115, X258)
S2T39_IN_GA(s(T123), node(X297, X298, nil)) → U5_GA(T123, X297, X298, s2t39_in_ga(T123, X297))
S2T39_IN_GA(s(T123), node(X297, X298, nil)) → S2T39_IN_GA(T123, X297)
GOAL1_IN_GAA(s(T98), T145, T146) → U19_GAA(T98, T145, T146, s2tc39_in_ga(T98, T144))
U19_GAA(T98, T145, T146, s2tc39_out_ga(T98, T144)) → U20_GAA(T98, T145, T146, p72_in_aaaaa(T144, X343, T145, X342, T146))
U19_GAA(T98, T145, T146, s2tc39_out_ga(T98, T144)) → P72_IN_AAAAA(T144, X343, T145, X342, T146)
P72_IN_AAAAA(T234, X619, T235, node(X563, X619, T234), T146) → U12_AAAAA(T234, X619, T235, X563, T146, tappend116_in_aaa(T234, T235, X563))
P72_IN_AAAAA(T234, X619, T235, node(X563, X619, T234), T146) → TAPPEND116_IN_AAA(T234, T235, X563)
TAPPEND116_IN_AAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → U6_AAA(T398, T396, T397, T399, X818, tappend116_in_aaa(T398, T399, X818))
TAPPEND116_IN_AAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → TAPPEND116_IN_AAA(T398, T399, X818)
TAPPEND116_IN_AAA(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U7_AAA(T448, T449, T451, X921, tappend217_in_aaa(T451, X919, X921))
TAPPEND116_IN_AAA(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → TAPPEND217_IN_AAA(T451, X919, X921)
TAPPEND217_IN_AAA(nil, X1193, node(X1194, nil, nil)) → U8_AAA(X1193, X1194, tappend217_in_gaa(nil, X1193, X1194))
TAPPEND217_IN_AAA(nil, X1193, node(X1194, nil, nil)) → TAPPEND217_IN_GAA(nil, X1193, X1194)
TAPPEND217_IN_GAA(nil, X1193, node(X1194, nil, nil)) → U8_GAA(X1193, X1194, tappend217_in_gaa(nil, X1193, X1194))
TAPPEND217_IN_GAA(nil, X1193, node(X1194, nil, nil)) → TAPPEND217_IN_GAA(nil, X1193, X1194)
TAPPEND217_IN_GAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U9_GAA(T569, T567, T568, X1193, X1194, tappend217_in_gaa(T569, X1193, X1194))
TAPPEND217_IN_GAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → TAPPEND217_IN_GAA(T569, X1193, X1194)
TAPPEND217_IN_GAA(nil, nil, node(nil, nil, X1313)) → U10_GAA(X1313, tappend217_in_gaa(nil, X1310, X1313))
TAPPEND217_IN_GAA(nil, nil, node(nil, nil, X1313)) → TAPPEND217_IN_GAA(nil, X1310, X1313)
TAPPEND217_IN_GAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U11_GAA(T609, T610, T612, X1313, tappend217_in_gaa(T612, X1310, X1313))
TAPPEND217_IN_GAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → TAPPEND217_IN_GAA(T612, X1310, X1313)
TAPPEND217_IN_AAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U9_AAA(T569, T567, T568, X1193, X1194, tappend217_in_aaa(T569, X1193, X1194))
TAPPEND217_IN_AAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → TAPPEND217_IN_AAA(T569, X1193, X1194)
TAPPEND217_IN_AAA(nil, nil, node(nil, nil, X1313)) → U10_AAA(X1313, tappend217_in_gaa(nil, X1310, X1313))
TAPPEND217_IN_AAA(nil, nil, node(nil, nil, X1313)) → TAPPEND217_IN_GAA(nil, X1310, X1313)
TAPPEND217_IN_AAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U11_AAA(T609, T610, T612, X1313, tappend217_in_aaa(T612, X1310, X1313))
TAPPEND217_IN_AAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → TAPPEND217_IN_AAA(T612, X1310, X1313)
P72_IN_AAAAA(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430), T146) → U13_AAAAA(T642, X1504, X1430, T146, tappend217_in_aaa(node(nil, T642, nil), X1427, X1430))
P72_IN_AAAAA(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430), T146) → TAPPEND217_IN_AAA(node(nil, T642, nil), X1427, X1430)
P72_IN_AAAAA(T144, T149, T145, T150, T151) → U14_AAAAA(T144, T149, T145, T150, T151, tappendc73_in_aaaa(T144, T149, T145, T150))
U14_AAAAA(T144, T149, T145, T150, T151, tappendc73_out_aaaa(T144, T149, T145, T150)) → U15_AAAAA(T144, T149, T145, T150, T151, tlast13_in_aa(T151, T150))
U14_AAAAA(T144, T149, T145, T150, T151, tappendc73_out_aaaa(T144, T149, T145, T150)) → TLAST13_IN_AA(T151, T150)
GOAL1_IN_GAA(s(T653), T13, T14) → U21_GAA(T653, T13, T14, s2t39_in_ga(T653, X1547))
GOAL1_IN_GAA(s(T653), T673, T674) → U22_GAA(T653, T673, T674, s2tc39_in_ga(T653, T672))
U22_GAA(T653, T673, T674, s2tc39_out_ga(T653, T672)) → U23_GAA(T653, T673, T674, tappend116_in_aaa(node(nil, X1585, T672), T673, X1584))
U22_GAA(T653, T673, T674, s2tc39_out_ga(T653, T672)) → TAPPEND116_IN_AAA(node(nil, X1585, T672), T673, X1584)
GOAL1_IN_GAA(s(T653), T673, T679) → U24_GAA(T653, T673, T679, s2tc39_in_ga(T653, T672))
U24_GAA(T653, T673, T679, s2tc39_out_ga(T653, T672)) → U25_GAA(T653, T673, T679, tappendc116_in_aaa(node(nil, T677, T672), T673, T678))
U25_GAA(T653, T673, T679, tappendc116_out_aaa(node(nil, T677, T672), T673, T678)) → U26_GAA(T653, T673, T679, tlast13_in_aa(T679, T678))
U25_GAA(T653, T673, T679, tappendc116_out_aaa(node(nil, T677, T672), T673, T678)) → TLAST13_IN_AA(T679, T678)
GOAL1_IN_GAA(s(T691), T13, T14) → U27_GAA(T691, T13, T14, s2t39_in_ga(T691, X1636))
GOAL1_IN_GAA(s(T691), T711, T712) → U28_GAA(T691, T711, T712, s2tc39_in_ga(T691, T710))
U28_GAA(T691, T711, T712, s2tc39_out_ga(T691, T710)) → U29_GAA(T691, T711, T712, tappend116_in_aaa(node(T710, X1675, nil), T711, X1674))
U28_GAA(T691, T711, T712, s2tc39_out_ga(T691, T710)) → TAPPEND116_IN_AAA(node(T710, X1675, nil), T711, X1674)
GOAL1_IN_GAA(s(T691), T711, T717) → U30_GAA(T691, T711, T717, s2tc39_in_ga(T691, T710))
U30_GAA(T691, T711, T717, s2tc39_out_ga(T691, T710)) → U31_GAA(T691, T711, T717, tappendc116_in_aaa(node(T710, T715, nil), T711, T716))
U31_GAA(T691, T711, T717, tappendc116_out_aaa(node(T710, T715, nil), T711, T716)) → U32_GAA(T691, T711, T717, tlast13_in_aa(T717, T716))
U31_GAA(T691, T711, T717, tappendc116_out_aaa(node(T710, T715, nil), T711, T716)) → TLAST13_IN_AA(T717, T716)
GOAL1_IN_GAA(T726, T738, T739) → U33_GAA(T726, T738, T739, p72_in_gaaaa(nil, X1737, T738, X1736, T739))
GOAL1_IN_GAA(T726, T738, T739) → P72_IN_GAAAA(nil, X1737, T738, X1736, T739)
P72_IN_GAAAA(T234, X619, T235, node(X563, X619, T234), T146) → U12_GAAAA(T234, X619, T235, X563, T146, tappend116_in_gaa(T234, T235, X563))
P72_IN_GAAAA(T234, X619, T235, node(X563, X619, T234), T146) → TAPPEND116_IN_GAA(T234, T235, X563)
TAPPEND116_IN_GAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → U6_GAA(T398, T396, T397, T399, X818, tappend116_in_gaa(T398, T399, X818))
TAPPEND116_IN_GAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → TAPPEND116_IN_GAA(T398, T399, X818)
TAPPEND116_IN_GAA(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U7_GAA(T448, T449, T451, X921, tappend217_in_gaa(T451, X919, X921))
TAPPEND116_IN_GAA(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → TAPPEND217_IN_GAA(T451, X919, X921)
P72_IN_GAAAA(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430), T146) → U13_GAAAA(T642, X1504, X1430, T146, tappend217_in_gaa(node(nil, T642, nil), X1427, X1430))
P72_IN_GAAAA(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430), T146) → TAPPEND217_IN_GAA(node(nil, T642, nil), X1427, X1430)
P72_IN_GAAAA(T144, T149, T145, T150, T151) → U14_GAAAA(T144, T149, T145, T150, T151, tappendc73_in_gaaa(T144, T149, T145, T150))
U14_GAAAA(T144, T149, T145, T150, T151, tappendc73_out_gaaa(T144, T149, T145, T150)) → U15_GAAAA(T144, T149, T145, T150, T151, tlast13_in_aa(T151, T150))
U14_GAAAA(T144, T149, T145, T150, T151, tappendc73_out_gaaa(T144, T149, T145, T150)) → TLAST13_IN_AA(T151, T150)

The TRS R consists of the following rules:

tappendc12_in_aa(T43, node(nil, T43, nil)) → tappendc12_out_aa(T43, node(nil, T43, nil))
s2tc39_in_ga(0, nil) → s2tc39_out_ga(0, nil)
s2tc39_in_ga(s(T107), node(X217, X218, X217)) → U37_ga(T107, X217, X218, s2tc39_in_ga(T107, X217))
s2tc39_in_ga(s(T115), node(nil, X257, X258)) → U38_ga(T115, X257, X258, s2tc39_in_ga(T115, X258))
s2tc39_in_ga(s(T123), node(X297, X298, nil)) → U39_ga(T123, X297, X298, s2tc39_in_ga(T123, X297))
s2tc39_in_ga(T126, node(nil, X315, nil)) → s2tc39_out_ga(T126, node(nil, X315, nil))
U39_ga(T123, X297, X298, s2tc39_out_ga(T123, X297)) → s2tc39_out_ga(s(T123), node(X297, X298, nil))
U38_ga(T115, X257, X258, s2tc39_out_ga(T115, X258)) → s2tc39_out_ga(s(T115), node(nil, X257, X258))
U37_ga(T107, X217, X218, s2tc39_out_ga(T107, X217)) → s2tc39_out_ga(s(T107), node(X217, X218, X217))
tappendc73_in_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_aaaa(T234, X619, T235, node(X563, X619, T234)) → U49_aaaa(T234, X619, T235, X563, tappendc116_in_aaa(T234, T235, X563))
tappendc116_in_aaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_aaa(nil, T243, node(nil, T243, nil))
tappendc116_in_aaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_aaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_aaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_aaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_aaa(nil, T345, node(X818, nil, nil)) → U40_aaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_aaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_aaa(nil, T345, node(X818, nil, nil))
tappendc116_in_aaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_aaa(T398, T396, T397, T399, X818, tappendc116_in_aaa(T398, T399, X818))
tappendc116_in_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_aaa(T448, T449, T451, X921, tappendc217_in_aaa(T451, X919, X921))
tappendc217_in_aaa(nil, X995, X995) → tappendc217_out_aaa(nil, X995, X995)
tappendc217_in_aaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_aaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_aaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_aaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_aaa(nil, X1193, node(X1194, nil, nil)) → U43_aaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(nil, X995, X995) → tappendc217_out_gaa(nil, X995, X995)
tappendc217_in_gaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_gaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_gaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_gaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_gaa(nil, X1193, node(X1194, nil, nil)) → U43_gaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_in_gaa(T569, X1193, X1194))
tappendc217_in_gaa(nil, nil, node(nil, nil, X1313)) → U45_gaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
tappendc217_in_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_gaa(T609, T610, T612, X1313, tappendc217_in_gaa(T612, X1310, X1313))
U46_gaa(T609, T610, T612, X1313, tappendc217_out_gaa(T612, X1310, X1313)) → tappendc217_out_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U45_gaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_gaa(nil, nil, node(nil, nil, X1313))
U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_out_gaa(T569, X1193, X1194)) → tappendc217_out_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U43_gaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_gaa(nil, X1193, node(X1194, nil, nil))
U43_aaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_aaa(nil, X1193, node(X1194, nil, nil))
tappendc217_in_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_in_aaa(T569, X1193, X1194))
tappendc217_in_aaa(nil, nil, node(nil, nil, X1313)) → U45_aaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
U45_aaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_aaa(nil, nil, node(nil, nil, X1313))
tappendc217_in_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_aaa(T609, T610, T612, X1313, tappendc217_in_aaa(T612, X1310, X1313))
U46_aaa(T609, T610, T612, X1313, tappendc217_out_aaa(T612, X1310, X1313)) → tappendc217_out_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_out_aaa(T569, X1193, X1194)) → tappendc217_out_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U42_aaa(T448, T449, T451, X921, tappendc217_out_aaa(T451, X919, X921)) → tappendc116_out_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_aaa(T398, T396, T397, T399, X818, tappendc116_out_aaa(T398, T399, X818)) → tappendc116_out_aaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_aaaa(T234, X619, T235, X563, tappendc116_out_aaa(T234, T235, X563)) → tappendc73_out_aaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_aaaa(T642, X1504, X1430, tappendc217_in_aaa(node(nil, T642, nil), X1427, X1430))
U50_aaaa(T642, X1504, X1430, tappendc217_out_aaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))
tappendc73_in_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_gaaa(T234, X619, T235, node(X563, X619, T234)) → U49_gaaa(T234, X619, T235, X563, tappendc116_in_gaa(T234, T235, X563))
tappendc116_in_gaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_gaa(nil, T243, node(nil, T243, nil))
tappendc116_in_gaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_gaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_gaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_gaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_gaa(nil, T345, node(X818, nil, nil)) → U40_gaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_gaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_gaa(nil, T345, node(X818, nil, nil))
tappendc116_in_gaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_gaa(T398, T396, T397, T399, X818, tappendc116_in_gaa(T398, T399, X818))
tappendc116_in_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_gaa(T448, T449, T451, X921, tappendc217_in_gaa(T451, X919, X921))
U42_gaa(T448, T449, T451, X921, tappendc217_out_gaa(T451, X919, X921)) → tappendc116_out_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_gaa(T398, T396, T397, T399, X818, tappendc116_out_gaa(T398, T399, X818)) → tappendc116_out_gaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_gaaa(T234, X619, T235, X563, tappendc116_out_gaa(T234, T235, X563)) → tappendc73_out_gaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_gaaa(T642, X1504, X1430, tappendc217_in_gaa(node(nil, T642, nil), X1427, X1430))
U50_gaaa(T642, X1504, X1430, tappendc217_out_gaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))

(7) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 7 SCCs with 61 less nodes.

(8) Complex Obligation (AND)

(9) Obligation:

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

TAPPEND217_IN_GAA(nil, nil, node(nil, nil, X1313)) → TAPPEND217_IN_GAA(nil, X1310, X1313)
TAPPEND217_IN_GAA(nil, X1193, node(X1194, nil, nil)) → TAPPEND217_IN_GAA(nil, X1193, X1194)

The TRS R consists of the following rules:

tappendc12_in_aa(T43, node(nil, T43, nil)) → tappendc12_out_aa(T43, node(nil, T43, nil))
s2tc39_in_ga(0, nil) → s2tc39_out_ga(0, nil)
s2tc39_in_ga(s(T107), node(X217, X218, X217)) → U37_ga(T107, X217, X218, s2tc39_in_ga(T107, X217))
s2tc39_in_ga(s(T115), node(nil, X257, X258)) → U38_ga(T115, X257, X258, s2tc39_in_ga(T115, X258))
s2tc39_in_ga(s(T123), node(X297, X298, nil)) → U39_ga(T123, X297, X298, s2tc39_in_ga(T123, X297))
s2tc39_in_ga(T126, node(nil, X315, nil)) → s2tc39_out_ga(T126, node(nil, X315, nil))
U39_ga(T123, X297, X298, s2tc39_out_ga(T123, X297)) → s2tc39_out_ga(s(T123), node(X297, X298, nil))
U38_ga(T115, X257, X258, s2tc39_out_ga(T115, X258)) → s2tc39_out_ga(s(T115), node(nil, X257, X258))
U37_ga(T107, X217, X218, s2tc39_out_ga(T107, X217)) → s2tc39_out_ga(s(T107), node(X217, X218, X217))
tappendc73_in_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_aaaa(T234, X619, T235, node(X563, X619, T234)) → U49_aaaa(T234, X619, T235, X563, tappendc116_in_aaa(T234, T235, X563))
tappendc116_in_aaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_aaa(nil, T243, node(nil, T243, nil))
tappendc116_in_aaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_aaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_aaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_aaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_aaa(nil, T345, node(X818, nil, nil)) → U40_aaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_aaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_aaa(nil, T345, node(X818, nil, nil))
tappendc116_in_aaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_aaa(T398, T396, T397, T399, X818, tappendc116_in_aaa(T398, T399, X818))
tappendc116_in_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_aaa(T448, T449, T451, X921, tappendc217_in_aaa(T451, X919, X921))
tappendc217_in_aaa(nil, X995, X995) → tappendc217_out_aaa(nil, X995, X995)
tappendc217_in_aaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_aaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_aaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_aaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_aaa(nil, X1193, node(X1194, nil, nil)) → U43_aaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(nil, X995, X995) → tappendc217_out_gaa(nil, X995, X995)
tappendc217_in_gaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_gaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_gaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_gaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_gaa(nil, X1193, node(X1194, nil, nil)) → U43_gaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_in_gaa(T569, X1193, X1194))
tappendc217_in_gaa(nil, nil, node(nil, nil, X1313)) → U45_gaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
tappendc217_in_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_gaa(T609, T610, T612, X1313, tappendc217_in_gaa(T612, X1310, X1313))
U46_gaa(T609, T610, T612, X1313, tappendc217_out_gaa(T612, X1310, X1313)) → tappendc217_out_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U45_gaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_gaa(nil, nil, node(nil, nil, X1313))
U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_out_gaa(T569, X1193, X1194)) → tappendc217_out_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U43_gaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_gaa(nil, X1193, node(X1194, nil, nil))
U43_aaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_aaa(nil, X1193, node(X1194, nil, nil))
tappendc217_in_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_in_aaa(T569, X1193, X1194))
tappendc217_in_aaa(nil, nil, node(nil, nil, X1313)) → U45_aaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
U45_aaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_aaa(nil, nil, node(nil, nil, X1313))
tappendc217_in_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_aaa(T609, T610, T612, X1313, tappendc217_in_aaa(T612, X1310, X1313))
U46_aaa(T609, T610, T612, X1313, tappendc217_out_aaa(T612, X1310, X1313)) → tappendc217_out_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_out_aaa(T569, X1193, X1194)) → tappendc217_out_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U42_aaa(T448, T449, T451, X921, tappendc217_out_aaa(T451, X919, X921)) → tappendc116_out_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_aaa(T398, T396, T397, T399, X818, tappendc116_out_aaa(T398, T399, X818)) → tappendc116_out_aaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_aaaa(T234, X619, T235, X563, tappendc116_out_aaa(T234, T235, X563)) → tappendc73_out_aaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_aaaa(T642, X1504, X1430, tappendc217_in_aaa(node(nil, T642, nil), X1427, X1430))
U50_aaaa(T642, X1504, X1430, tappendc217_out_aaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))
tappendc73_in_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_gaaa(T234, X619, T235, node(X563, X619, T234)) → U49_gaaa(T234, X619, T235, X563, tappendc116_in_gaa(T234, T235, X563))
tappendc116_in_gaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_gaa(nil, T243, node(nil, T243, nil))
tappendc116_in_gaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_gaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_gaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_gaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_gaa(nil, T345, node(X818, nil, nil)) → U40_gaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_gaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_gaa(nil, T345, node(X818, nil, nil))
tappendc116_in_gaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_gaa(T398, T396, T397, T399, X818, tappendc116_in_gaa(T398, T399, X818))
tappendc116_in_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_gaa(T448, T449, T451, X921, tappendc217_in_gaa(T451, X919, X921))
U42_gaa(T448, T449, T451, X921, tappendc217_out_gaa(T451, X919, X921)) → tappendc116_out_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_gaa(T398, T396, T397, T399, X818, tappendc116_out_gaa(T398, T399, X818)) → tappendc116_out_gaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_gaaa(T234, X619, T235, X563, tappendc116_out_gaa(T234, T235, X563)) → tappendc73_out_gaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_gaaa(T642, X1504, X1430, tappendc217_in_gaa(node(nil, T642, nil), X1427, X1430))
U50_gaaa(T642, X1504, X1430, tappendc217_out_gaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))

The argument filtering Pi contains the following mapping:
0 = 0
tappendc12_in_aa(x1, x2) = tappendc12_in_aa
tappendc12_out_aa(x1, x2) = tappendc12_out_aa
s(x1) = s(x1)
s2tc39_in_ga(x1, x2) = s2tc39_in_ga(x1)
s2tc39_out_ga(x1, x2) = s2tc39_out_ga(x1)
U37_ga(x1, x2, x3, x4) = U37_ga(x1, x4)
U38_ga(x1, x2, x3, x4) = U38_ga(x1, x4)
U39_ga(x1, x2, x3, x4) = U39_ga(x1, x4)
nil = nil
node(x1, x2, x3) = node(x1, x2, x3)
tappendc73_in_aaaa(x1, x2, x3, x4) = tappendc73_in_aaaa
tappendc73_out_aaaa(x1, x2, x3, x4) = tappendc73_out_aaaa
U49_aaaa(x1, x2, x3, x4, x5) = U49_aaaa(x5)
tappendc116_in_aaa(x1, x2, x3) = tappendc116_in_aaa
tappendc116_out_aaa(x1, x2, x3) = tappendc116_out_aaa
U40_aaa(x1, x2, x3) = U40_aaa(x3)
U41_aaa(x1, x2, x3, x4, x5, x6) = U41_aaa(x6)
U42_aaa(x1, x2, x3, x4, x5) = U42_aaa(x5)
tappendc217_in_aaa(x1, x2, x3) = tappendc217_in_aaa
tappendc217_out_aaa(x1, x2, x3) = tappendc217_out_aaa
U43_aaa(x1, x2, x3) = U43_aaa(x3)
tappendc217_in_gaa(x1, x2, x3) = tappendc217_in_gaa(x1)
tappendc217_out_gaa(x1, x2, x3) = tappendc217_out_gaa(x1)
U43_gaa(x1, x2, x3) = U43_gaa(x3)
U44_gaa(x1, x2, x3, x4, x5, x6) = U44_gaa(x1, x2, x3, x6)
U45_gaa(x1, x2) = U45_gaa(x2)
U46_gaa(x1, x2, x3, x4, x5) = U46_gaa(x1, x2, x3, x5)
U44_aaa(x1, x2, x3, x4, x5, x6) = U44_aaa(x6)
U45_aaa(x1, x2) = U45_aaa(x2)
U46_aaa(x1, x2, x3, x4, x5) = U46_aaa(x5)
U50_aaaa(x1, x2, x3, x4) = U50_aaaa(x4)
tappendc73_in_gaaa(x1, x2, x3, x4) = tappendc73_in_gaaa(x1)
tappendc73_out_gaaa(x1, x2, x3, x4) = tappendc73_out_gaaa(x1)
U49_gaaa(x1, x2, x3, x4, x5) = U49_gaaa(x1, x5)
tappendc116_in_gaa(x1, x2, x3) = tappendc116_in_gaa(x1)
tappendc116_out_gaa(x1, x2, x3) = tappendc116_out_gaa(x1)
U40_gaa(x1, x2, x3) = U40_gaa(x3)
U41_gaa(x1, x2, x3, x4, x5, x6) = U41_gaa(x1, x2, x3, x6)
U42_gaa(x1, x2, x3, x4, x5) = U42_gaa(x1, x2, x3, x5)
U50_gaaa(x1, x2, x3, x4) = U50_gaaa(x1, x4)
TAPPEND217_IN_GAA(x1, x2, x3) = TAPPEND217_IN_GAA(x1)

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

(10) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(11) Obligation:

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

TAPPEND217_IN_GAA(nil, nil, node(nil, nil, X1313)) → TAPPEND217_IN_GAA(nil, X1310, X1313)
TAPPEND217_IN_GAA(nil, X1193, node(X1194, nil, nil)) → TAPPEND217_IN_GAA(nil, X1193, X1194)

R is empty.
The argument filtering Pi contains the following mapping:
nil = nil
node(x1, x2, x3) = node(x1, x2, x3)
TAPPEND217_IN_GAA(x1, x2, x3) = TAPPEND217_IN_GAA(x1)

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

(12) PiDPToQDPProof (SOUND transformation)

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

(13) Obligation:

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

TAPPEND217_IN_GAA(nil) → TAPPEND217_IN_GAA(nil)

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

(14) NonTerminationProof (EQUIVALENT transformation)

We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
Found a loop by semiunifying a rule from P directly.

s = TAPPEND217_IN_GAA(nil) evaluates to t =TAPPEND217_IN_GAA(nil)

Thus s starts an infinite chain as s semiunifies with t with the following substitutions:

Semiunifier: [ ]
Matcher: [ ]

Rewriting sequence

The DP semiunifies directly so there is only one rewrite step from TAPPEND217_IN_GAA(nil) to TAPPEND217_IN_GAA(nil).

(15) NO

(16) Obligation:

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

TAPPEND217_IN_GAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → TAPPEND217_IN_GAA(T612, X1310, X1313)
TAPPEND217_IN_GAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → TAPPEND217_IN_GAA(T569, X1193, X1194)

The TRS R consists of the following rules:

tappendc12_in_aa(T43, node(nil, T43, nil)) → tappendc12_out_aa(T43, node(nil, T43, nil))
s2tc39_in_ga(0, nil) → s2tc39_out_ga(0, nil)
s2tc39_in_ga(s(T107), node(X217, X218, X217)) → U37_ga(T107, X217, X218, s2tc39_in_ga(T107, X217))
s2tc39_in_ga(s(T115), node(nil, X257, X258)) → U38_ga(T115, X257, X258, s2tc39_in_ga(T115, X258))
s2tc39_in_ga(s(T123), node(X297, X298, nil)) → U39_ga(T123, X297, X298, s2tc39_in_ga(T123, X297))
s2tc39_in_ga(T126, node(nil, X315, nil)) → s2tc39_out_ga(T126, node(nil, X315, nil))
U39_ga(T123, X297, X298, s2tc39_out_ga(T123, X297)) → s2tc39_out_ga(s(T123), node(X297, X298, nil))
U38_ga(T115, X257, X258, s2tc39_out_ga(T115, X258)) → s2tc39_out_ga(s(T115), node(nil, X257, X258))
U37_ga(T107, X217, X218, s2tc39_out_ga(T107, X217)) → s2tc39_out_ga(s(T107), node(X217, X218, X217))
tappendc73_in_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_aaaa(T234, X619, T235, node(X563, X619, T234)) → U49_aaaa(T234, X619, T235, X563, tappendc116_in_aaa(T234, T235, X563))
tappendc116_in_aaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_aaa(nil, T243, node(nil, T243, nil))
tappendc116_in_aaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_aaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_aaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_aaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_aaa(nil, T345, node(X818, nil, nil)) → U40_aaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_aaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_aaa(nil, T345, node(X818, nil, nil))
tappendc116_in_aaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_aaa(T398, T396, T397, T399, X818, tappendc116_in_aaa(T398, T399, X818))
tappendc116_in_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_aaa(T448, T449, T451, X921, tappendc217_in_aaa(T451, X919, X921))
tappendc217_in_aaa(nil, X995, X995) → tappendc217_out_aaa(nil, X995, X995)
tappendc217_in_aaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_aaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_aaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_aaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_aaa(nil, X1193, node(X1194, nil, nil)) → U43_aaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(nil, X995, X995) → tappendc217_out_gaa(nil, X995, X995)
tappendc217_in_gaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_gaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_gaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_gaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_gaa(nil, X1193, node(X1194, nil, nil)) → U43_gaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_in_gaa(T569, X1193, X1194))
tappendc217_in_gaa(nil, nil, node(nil, nil, X1313)) → U45_gaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
tappendc217_in_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_gaa(T609, T610, T612, X1313, tappendc217_in_gaa(T612, X1310, X1313))
U46_gaa(T609, T610, T612, X1313, tappendc217_out_gaa(T612, X1310, X1313)) → tappendc217_out_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U45_gaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_gaa(nil, nil, node(nil, nil, X1313))
U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_out_gaa(T569, X1193, X1194)) → tappendc217_out_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U43_gaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_gaa(nil, X1193, node(X1194, nil, nil))
U43_aaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_aaa(nil, X1193, node(X1194, nil, nil))
tappendc217_in_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_in_aaa(T569, X1193, X1194))
tappendc217_in_aaa(nil, nil, node(nil, nil, X1313)) → U45_aaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
U45_aaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_aaa(nil, nil, node(nil, nil, X1313))
tappendc217_in_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_aaa(T609, T610, T612, X1313, tappendc217_in_aaa(T612, X1310, X1313))
U46_aaa(T609, T610, T612, X1313, tappendc217_out_aaa(T612, X1310, X1313)) → tappendc217_out_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_out_aaa(T569, X1193, X1194)) → tappendc217_out_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U42_aaa(T448, T449, T451, X921, tappendc217_out_aaa(T451, X919, X921)) → tappendc116_out_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_aaa(T398, T396, T397, T399, X818, tappendc116_out_aaa(T398, T399, X818)) → tappendc116_out_aaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_aaaa(T234, X619, T235, X563, tappendc116_out_aaa(T234, T235, X563)) → tappendc73_out_aaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_aaaa(T642, X1504, X1430, tappendc217_in_aaa(node(nil, T642, nil), X1427, X1430))
U50_aaaa(T642, X1504, X1430, tappendc217_out_aaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))
tappendc73_in_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_gaaa(T234, X619, T235, node(X563, X619, T234)) → U49_gaaa(T234, X619, T235, X563, tappendc116_in_gaa(T234, T235, X563))
tappendc116_in_gaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_gaa(nil, T243, node(nil, T243, nil))
tappendc116_in_gaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_gaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_gaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_gaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_gaa(nil, T345, node(X818, nil, nil)) → U40_gaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_gaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_gaa(nil, T345, node(X818, nil, nil))
tappendc116_in_gaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_gaa(T398, T396, T397, T399, X818, tappendc116_in_gaa(T398, T399, X818))
tappendc116_in_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_gaa(T448, T449, T451, X921, tappendc217_in_gaa(T451, X919, X921))
U42_gaa(T448, T449, T451, X921, tappendc217_out_gaa(T451, X919, X921)) → tappendc116_out_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_gaa(T398, T396, T397, T399, X818, tappendc116_out_gaa(T398, T399, X818)) → tappendc116_out_gaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_gaaa(T234, X619, T235, X563, tappendc116_out_gaa(T234, T235, X563)) → tappendc73_out_gaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_gaaa(T642, X1504, X1430, tappendc217_in_gaa(node(nil, T642, nil), X1427, X1430))
U50_gaaa(T642, X1504, X1430, tappendc217_out_gaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))

(17) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(18) Obligation:

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

TAPPEND217_IN_GAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → TAPPEND217_IN_GAA(T612, X1310, X1313)
TAPPEND217_IN_GAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → TAPPEND217_IN_GAA(T569, X1193, X1194)

R is empty.
The argument filtering Pi contains the following mapping:
node(x1, x2, x3) = node(x1, x2, x3)
TAPPEND217_IN_GAA(x1, x2, x3) = TAPPEND217_IN_GAA(x1)

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

(19) PiDPToQDPProof (SOUND transformation)

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

(20) Obligation:

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

TAPPEND217_IN_GAA(node(T609, T610, T612)) → TAPPEND217_IN_GAA(T612)
TAPPEND217_IN_GAA(node(T569, T567, T568)) → TAPPEND217_IN_GAA(T569)

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

(21) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

TAPPEND217_IN_GAA(node(T609, T610, T612)) → TAPPEND217_IN_GAA(T612)
The graph contains the following edges 1 > 1
TAPPEND217_IN_GAA(node(T569, T567, T568)) → TAPPEND217_IN_GAA(T569)
The graph contains the following edges 1 > 1

(22) YES

(23) Obligation:

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

TAPPEND116_IN_GAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → TAPPEND116_IN_GAA(T398, T399, X818)

The TRS R consists of the following rules:

tappendc12_in_aa(T43, node(nil, T43, nil)) → tappendc12_out_aa(T43, node(nil, T43, nil))
s2tc39_in_ga(0, nil) → s2tc39_out_ga(0, nil)
s2tc39_in_ga(s(T107), node(X217, X218, X217)) → U37_ga(T107, X217, X218, s2tc39_in_ga(T107, X217))
s2tc39_in_ga(s(T115), node(nil, X257, X258)) → U38_ga(T115, X257, X258, s2tc39_in_ga(T115, X258))
s2tc39_in_ga(s(T123), node(X297, X298, nil)) → U39_ga(T123, X297, X298, s2tc39_in_ga(T123, X297))
s2tc39_in_ga(T126, node(nil, X315, nil)) → s2tc39_out_ga(T126, node(nil, X315, nil))
U39_ga(T123, X297, X298, s2tc39_out_ga(T123, X297)) → s2tc39_out_ga(s(T123), node(X297, X298, nil))
U38_ga(T115, X257, X258, s2tc39_out_ga(T115, X258)) → s2tc39_out_ga(s(T115), node(nil, X257, X258))
U37_ga(T107, X217, X218, s2tc39_out_ga(T107, X217)) → s2tc39_out_ga(s(T107), node(X217, X218, X217))
tappendc73_in_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_aaaa(T234, X619, T235, node(X563, X619, T234)) → U49_aaaa(T234, X619, T235, X563, tappendc116_in_aaa(T234, T235, X563))
tappendc116_in_aaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_aaa(nil, T243, node(nil, T243, nil))
tappendc116_in_aaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_aaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_aaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_aaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_aaa(nil, T345, node(X818, nil, nil)) → U40_aaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_aaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_aaa(nil, T345, node(X818, nil, nil))
tappendc116_in_aaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_aaa(T398, T396, T397, T399, X818, tappendc116_in_aaa(T398, T399, X818))
tappendc116_in_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_aaa(T448, T449, T451, X921, tappendc217_in_aaa(T451, X919, X921))
tappendc217_in_aaa(nil, X995, X995) → tappendc217_out_aaa(nil, X995, X995)
tappendc217_in_aaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_aaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_aaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_aaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_aaa(nil, X1193, node(X1194, nil, nil)) → U43_aaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(nil, X995, X995) → tappendc217_out_gaa(nil, X995, X995)
tappendc217_in_gaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_gaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_gaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_gaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_gaa(nil, X1193, node(X1194, nil, nil)) → U43_gaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_in_gaa(T569, X1193, X1194))
tappendc217_in_gaa(nil, nil, node(nil, nil, X1313)) → U45_gaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
tappendc217_in_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_gaa(T609, T610, T612, X1313, tappendc217_in_gaa(T612, X1310, X1313))
U46_gaa(T609, T610, T612, X1313, tappendc217_out_gaa(T612, X1310, X1313)) → tappendc217_out_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U45_gaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_gaa(nil, nil, node(nil, nil, X1313))
U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_out_gaa(T569, X1193, X1194)) → tappendc217_out_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U43_gaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_gaa(nil, X1193, node(X1194, nil, nil))
U43_aaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_aaa(nil, X1193, node(X1194, nil, nil))
tappendc217_in_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_in_aaa(T569, X1193, X1194))
tappendc217_in_aaa(nil, nil, node(nil, nil, X1313)) → U45_aaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
U45_aaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_aaa(nil, nil, node(nil, nil, X1313))
tappendc217_in_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_aaa(T609, T610, T612, X1313, tappendc217_in_aaa(T612, X1310, X1313))
U46_aaa(T609, T610, T612, X1313, tappendc217_out_aaa(T612, X1310, X1313)) → tappendc217_out_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_out_aaa(T569, X1193, X1194)) → tappendc217_out_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U42_aaa(T448, T449, T451, X921, tappendc217_out_aaa(T451, X919, X921)) → tappendc116_out_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_aaa(T398, T396, T397, T399, X818, tappendc116_out_aaa(T398, T399, X818)) → tappendc116_out_aaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_aaaa(T234, X619, T235, X563, tappendc116_out_aaa(T234, T235, X563)) → tappendc73_out_aaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_aaaa(T642, X1504, X1430, tappendc217_in_aaa(node(nil, T642, nil), X1427, X1430))
U50_aaaa(T642, X1504, X1430, tappendc217_out_aaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))
tappendc73_in_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_gaaa(T234, X619, T235, node(X563, X619, T234)) → U49_gaaa(T234, X619, T235, X563, tappendc116_in_gaa(T234, T235, X563))
tappendc116_in_gaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_gaa(nil, T243, node(nil, T243, nil))
tappendc116_in_gaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_gaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_gaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_gaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_gaa(nil, T345, node(X818, nil, nil)) → U40_gaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_gaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_gaa(nil, T345, node(X818, nil, nil))
tappendc116_in_gaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_gaa(T398, T396, T397, T399, X818, tappendc116_in_gaa(T398, T399, X818))
tappendc116_in_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_gaa(T448, T449, T451, X921, tappendc217_in_gaa(T451, X919, X921))
U42_gaa(T448, T449, T451, X921, tappendc217_out_gaa(T451, X919, X921)) → tappendc116_out_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_gaa(T398, T396, T397, T399, X818, tappendc116_out_gaa(T398, T399, X818)) → tappendc116_out_gaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_gaaa(T234, X619, T235, X563, tappendc116_out_gaa(T234, T235, X563)) → tappendc73_out_gaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_gaaa(T642, X1504, X1430, tappendc217_in_gaa(node(nil, T642, nil), X1427, X1430))
U50_gaaa(T642, X1504, X1430, tappendc217_out_gaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))

The argument filtering Pi contains the following mapping:
0 = 0
tappendc12_in_aa(x1, x2) = tappendc12_in_aa
tappendc12_out_aa(x1, x2) = tappendc12_out_aa
s(x1) = s(x1)
s2tc39_in_ga(x1, x2) = s2tc39_in_ga(x1)
s2tc39_out_ga(x1, x2) = s2tc39_out_ga(x1)
U37_ga(x1, x2, x3, x4) = U37_ga(x1, x4)
U38_ga(x1, x2, x3, x4) = U38_ga(x1, x4)
U39_ga(x1, x2, x3, x4) = U39_ga(x1, x4)
nil = nil
node(x1, x2, x3) = node(x1, x2, x3)
tappendc73_in_aaaa(x1, x2, x3, x4) = tappendc73_in_aaaa
tappendc73_out_aaaa(x1, x2, x3, x4) = tappendc73_out_aaaa
U49_aaaa(x1, x2, x3, x4, x5) = U49_aaaa(x5)
tappendc116_in_aaa(x1, x2, x3) = tappendc116_in_aaa
tappendc116_out_aaa(x1, x2, x3) = tappendc116_out_aaa
U40_aaa(x1, x2, x3) = U40_aaa(x3)
U41_aaa(x1, x2, x3, x4, x5, x6) = U41_aaa(x6)
U42_aaa(x1, x2, x3, x4, x5) = U42_aaa(x5)
tappendc217_in_aaa(x1, x2, x3) = tappendc217_in_aaa
tappendc217_out_aaa(x1, x2, x3) = tappendc217_out_aaa
U43_aaa(x1, x2, x3) = U43_aaa(x3)
tappendc217_in_gaa(x1, x2, x3) = tappendc217_in_gaa(x1)
tappendc217_out_gaa(x1, x2, x3) = tappendc217_out_gaa(x1)
U43_gaa(x1, x2, x3) = U43_gaa(x3)
U44_gaa(x1, x2, x3, x4, x5, x6) = U44_gaa(x1, x2, x3, x6)
U45_gaa(x1, x2) = U45_gaa(x2)
U46_gaa(x1, x2, x3, x4, x5) = U46_gaa(x1, x2, x3, x5)
U44_aaa(x1, x2, x3, x4, x5, x6) = U44_aaa(x6)
U45_aaa(x1, x2) = U45_aaa(x2)
U46_aaa(x1, x2, x3, x4, x5) = U46_aaa(x5)
U50_aaaa(x1, x2, x3, x4) = U50_aaaa(x4)
tappendc73_in_gaaa(x1, x2, x3, x4) = tappendc73_in_gaaa(x1)
tappendc73_out_gaaa(x1, x2, x3, x4) = tappendc73_out_gaaa(x1)
U49_gaaa(x1, x2, x3, x4, x5) = U49_gaaa(x1, x5)
tappendc116_in_gaa(x1, x2, x3) = tappendc116_in_gaa(x1)
tappendc116_out_gaa(x1, x2, x3) = tappendc116_out_gaa(x1)
U40_gaa(x1, x2, x3) = U40_gaa(x3)
U41_gaa(x1, x2, x3, x4, x5, x6) = U41_gaa(x1, x2, x3, x6)
U42_gaa(x1, x2, x3, x4, x5) = U42_gaa(x1, x2, x3, x5)
U50_gaaa(x1, x2, x3, x4) = U50_gaaa(x1, x4)
TAPPEND116_IN_GAA(x1, x2, x3) = TAPPEND116_IN_GAA(x1)

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

(24) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(25) Obligation:

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

TAPPEND116_IN_GAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → TAPPEND116_IN_GAA(T398, T399, X818)

R is empty.
The argument filtering Pi contains the following mapping:
node(x1, x2, x3) = node(x1, x2, x3)
TAPPEND116_IN_GAA(x1, x2, x3) = TAPPEND116_IN_GAA(x1)

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

(26) PiDPToQDPProof (SOUND transformation)

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

(27) Obligation:

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

TAPPEND116_IN_GAA(node(T398, T396, T397)) → TAPPEND116_IN_GAA(T398)

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

(28) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

TAPPEND116_IN_GAA(node(T398, T396, T397)) → TAPPEND116_IN_GAA(T398)
The graph contains the following edges 1 > 1

(29) YES

(30) Obligation:

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

TAPPEND217_IN_AAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → TAPPEND217_IN_AAA(T612, X1310, X1313)
TAPPEND217_IN_AAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → TAPPEND217_IN_AAA(T569, X1193, X1194)

The TRS R consists of the following rules:

tappendc12_in_aa(T43, node(nil, T43, nil)) → tappendc12_out_aa(T43, node(nil, T43, nil))
s2tc39_in_ga(0, nil) → s2tc39_out_ga(0, nil)
s2tc39_in_ga(s(T107), node(X217, X218, X217)) → U37_ga(T107, X217, X218, s2tc39_in_ga(T107, X217))
s2tc39_in_ga(s(T115), node(nil, X257, X258)) → U38_ga(T115, X257, X258, s2tc39_in_ga(T115, X258))
s2tc39_in_ga(s(T123), node(X297, X298, nil)) → U39_ga(T123, X297, X298, s2tc39_in_ga(T123, X297))
s2tc39_in_ga(T126, node(nil, X315, nil)) → s2tc39_out_ga(T126, node(nil, X315, nil))
U39_ga(T123, X297, X298, s2tc39_out_ga(T123, X297)) → s2tc39_out_ga(s(T123), node(X297, X298, nil))
U38_ga(T115, X257, X258, s2tc39_out_ga(T115, X258)) → s2tc39_out_ga(s(T115), node(nil, X257, X258))
U37_ga(T107, X217, X218, s2tc39_out_ga(T107, X217)) → s2tc39_out_ga(s(T107), node(X217, X218, X217))
tappendc73_in_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_aaaa(T234, X619, T235, node(X563, X619, T234)) → U49_aaaa(T234, X619, T235, X563, tappendc116_in_aaa(T234, T235, X563))
tappendc116_in_aaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_aaa(nil, T243, node(nil, T243, nil))
tappendc116_in_aaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_aaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_aaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_aaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_aaa(nil, T345, node(X818, nil, nil)) → U40_aaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_aaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_aaa(nil, T345, node(X818, nil, nil))
tappendc116_in_aaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_aaa(T398, T396, T397, T399, X818, tappendc116_in_aaa(T398, T399, X818))
tappendc116_in_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_aaa(T448, T449, T451, X921, tappendc217_in_aaa(T451, X919, X921))
tappendc217_in_aaa(nil, X995, X995) → tappendc217_out_aaa(nil, X995, X995)
tappendc217_in_aaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_aaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_aaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_aaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_aaa(nil, X1193, node(X1194, nil, nil)) → U43_aaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(nil, X995, X995) → tappendc217_out_gaa(nil, X995, X995)
tappendc217_in_gaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_gaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_gaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_gaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_gaa(nil, X1193, node(X1194, nil, nil)) → U43_gaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_in_gaa(T569, X1193, X1194))
tappendc217_in_gaa(nil, nil, node(nil, nil, X1313)) → U45_gaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
tappendc217_in_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_gaa(T609, T610, T612, X1313, tappendc217_in_gaa(T612, X1310, X1313))
U46_gaa(T609, T610, T612, X1313, tappendc217_out_gaa(T612, X1310, X1313)) → tappendc217_out_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U45_gaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_gaa(nil, nil, node(nil, nil, X1313))
U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_out_gaa(T569, X1193, X1194)) → tappendc217_out_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U43_gaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_gaa(nil, X1193, node(X1194, nil, nil))
U43_aaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_aaa(nil, X1193, node(X1194, nil, nil))
tappendc217_in_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_in_aaa(T569, X1193, X1194))
tappendc217_in_aaa(nil, nil, node(nil, nil, X1313)) → U45_aaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
U45_aaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_aaa(nil, nil, node(nil, nil, X1313))
tappendc217_in_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_aaa(T609, T610, T612, X1313, tappendc217_in_aaa(T612, X1310, X1313))
U46_aaa(T609, T610, T612, X1313, tappendc217_out_aaa(T612, X1310, X1313)) → tappendc217_out_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_out_aaa(T569, X1193, X1194)) → tappendc217_out_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U42_aaa(T448, T449, T451, X921, tappendc217_out_aaa(T451, X919, X921)) → tappendc116_out_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_aaa(T398, T396, T397, T399, X818, tappendc116_out_aaa(T398, T399, X818)) → tappendc116_out_aaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_aaaa(T234, X619, T235, X563, tappendc116_out_aaa(T234, T235, X563)) → tappendc73_out_aaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_aaaa(T642, X1504, X1430, tappendc217_in_aaa(node(nil, T642, nil), X1427, X1430))
U50_aaaa(T642, X1504, X1430, tappendc217_out_aaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))
tappendc73_in_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_gaaa(T234, X619, T235, node(X563, X619, T234)) → U49_gaaa(T234, X619, T235, X563, tappendc116_in_gaa(T234, T235, X563))
tappendc116_in_gaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_gaa(nil, T243, node(nil, T243, nil))
tappendc116_in_gaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_gaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_gaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_gaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_gaa(nil, T345, node(X818, nil, nil)) → U40_gaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_gaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_gaa(nil, T345, node(X818, nil, nil))
tappendc116_in_gaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_gaa(T398, T396, T397, T399, X818, tappendc116_in_gaa(T398, T399, X818))
tappendc116_in_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_gaa(T448, T449, T451, X921, tappendc217_in_gaa(T451, X919, X921))
U42_gaa(T448, T449, T451, X921, tappendc217_out_gaa(T451, X919, X921)) → tappendc116_out_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_gaa(T398, T396, T397, T399, X818, tappendc116_out_gaa(T398, T399, X818)) → tappendc116_out_gaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_gaaa(T234, X619, T235, X563, tappendc116_out_gaa(T234, T235, X563)) → tappendc73_out_gaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_gaaa(T642, X1504, X1430, tappendc217_in_gaa(node(nil, T642, nil), X1427, X1430))
U50_gaaa(T642, X1504, X1430, tappendc217_out_gaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))

The argument filtering Pi contains the following mapping:
0 = 0
tappendc12_in_aa(x1, x2) = tappendc12_in_aa
tappendc12_out_aa(x1, x2) = tappendc12_out_aa
s(x1) = s(x1)
s2tc39_in_ga(x1, x2) = s2tc39_in_ga(x1)
s2tc39_out_ga(x1, x2) = s2tc39_out_ga(x1)
U37_ga(x1, x2, x3, x4) = U37_ga(x1, x4)
U38_ga(x1, x2, x3, x4) = U38_ga(x1, x4)
U39_ga(x1, x2, x3, x4) = U39_ga(x1, x4)
nil = nil
node(x1, x2, x3) = node(x1, x2, x3)
tappendc73_in_aaaa(x1, x2, x3, x4) = tappendc73_in_aaaa
tappendc73_out_aaaa(x1, x2, x3, x4) = tappendc73_out_aaaa
U49_aaaa(x1, x2, x3, x4, x5) = U49_aaaa(x5)
tappendc116_in_aaa(x1, x2, x3) = tappendc116_in_aaa
tappendc116_out_aaa(x1, x2, x3) = tappendc116_out_aaa
U40_aaa(x1, x2, x3) = U40_aaa(x3)
U41_aaa(x1, x2, x3, x4, x5, x6) = U41_aaa(x6)
U42_aaa(x1, x2, x3, x4, x5) = U42_aaa(x5)
tappendc217_in_aaa(x1, x2, x3) = tappendc217_in_aaa
tappendc217_out_aaa(x1, x2, x3) = tappendc217_out_aaa
U43_aaa(x1, x2, x3) = U43_aaa(x3)
tappendc217_in_gaa(x1, x2, x3) = tappendc217_in_gaa(x1)
tappendc217_out_gaa(x1, x2, x3) = tappendc217_out_gaa(x1)
U43_gaa(x1, x2, x3) = U43_gaa(x3)
U44_gaa(x1, x2, x3, x4, x5, x6) = U44_gaa(x1, x2, x3, x6)
U45_gaa(x1, x2) = U45_gaa(x2)
U46_gaa(x1, x2, x3, x4, x5) = U46_gaa(x1, x2, x3, x5)
U44_aaa(x1, x2, x3, x4, x5, x6) = U44_aaa(x6)
U45_aaa(x1, x2) = U45_aaa(x2)
U46_aaa(x1, x2, x3, x4, x5) = U46_aaa(x5)
U50_aaaa(x1, x2, x3, x4) = U50_aaaa(x4)
tappendc73_in_gaaa(x1, x2, x3, x4) = tappendc73_in_gaaa(x1)
tappendc73_out_gaaa(x1, x2, x3, x4) = tappendc73_out_gaaa(x1)
U49_gaaa(x1, x2, x3, x4, x5) = U49_gaaa(x1, x5)
tappendc116_in_gaa(x1, x2, x3) = tappendc116_in_gaa(x1)
tappendc116_out_gaa(x1, x2, x3) = tappendc116_out_gaa(x1)
U40_gaa(x1, x2, x3) = U40_gaa(x3)
U41_gaa(x1, x2, x3, x4, x5, x6) = U41_gaa(x1, x2, x3, x6)
U42_gaa(x1, x2, x3, x4, x5) = U42_gaa(x1, x2, x3, x5)
U50_gaaa(x1, x2, x3, x4) = U50_gaaa(x1, x4)
TAPPEND217_IN_AAA(x1, x2, x3) = TAPPEND217_IN_AAA

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

(31) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(32) Obligation:

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

TAPPEND217_IN_AAA(node(T609, T610, T612), T609, node(T609, T610, X1313)) → TAPPEND217_IN_AAA(T612, X1310, X1313)
TAPPEND217_IN_AAA(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → TAPPEND217_IN_AAA(T569, X1193, X1194)

R is empty.
The argument filtering Pi contains the following mapping:
node(x1, x2, x3) = node(x1, x2, x3)
TAPPEND217_IN_AAA(x1, x2, x3) = TAPPEND217_IN_AAA

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

(33) PiDPToQDPProof (SOUND transformation)

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

(34) Obligation:

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

TAPPEND217_IN_AAA → TAPPEND217_IN_AAA

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

(35) NonTerminationProof (EQUIVALENT transformation)

We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
Found a loop by semiunifying a rule from P directly.

s = TAPPEND217_IN_AAA evaluates to t =TAPPEND217_IN_AAA

Thus s starts an infinite chain as s semiunifies with t with the following substitutions:

Semiunifier: [ ]
Matcher: [ ]

Rewriting sequence

The DP semiunifies directly so there is only one rewrite step from TAPPEND217_IN_AAA to TAPPEND217_IN_AAA.

(36) NO

(37) Obligation:

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

TAPPEND116_IN_AAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → TAPPEND116_IN_AAA(T398, T399, X818)

The TRS R consists of the following rules:

tappendc12_in_aa(T43, node(nil, T43, nil)) → tappendc12_out_aa(T43, node(nil, T43, nil))
s2tc39_in_ga(0, nil) → s2tc39_out_ga(0, nil)
s2tc39_in_ga(s(T107), node(X217, X218, X217)) → U37_ga(T107, X217, X218, s2tc39_in_ga(T107, X217))
s2tc39_in_ga(s(T115), node(nil, X257, X258)) → U38_ga(T115, X257, X258, s2tc39_in_ga(T115, X258))
s2tc39_in_ga(s(T123), node(X297, X298, nil)) → U39_ga(T123, X297, X298, s2tc39_in_ga(T123, X297))
s2tc39_in_ga(T126, node(nil, X315, nil)) → s2tc39_out_ga(T126, node(nil, X315, nil))
U39_ga(T123, X297, X298, s2tc39_out_ga(T123, X297)) → s2tc39_out_ga(s(T123), node(X297, X298, nil))
U38_ga(T115, X257, X258, s2tc39_out_ga(T115, X258)) → s2tc39_out_ga(s(T115), node(nil, X257, X258))
U37_ga(T107, X217, X218, s2tc39_out_ga(T107, X217)) → s2tc39_out_ga(s(T107), node(X217, X218, X217))
tappendc73_in_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_aaaa(T234, X619, T235, node(X563, X619, T234)) → U49_aaaa(T234, X619, T235, X563, tappendc116_in_aaa(T234, T235, X563))
tappendc116_in_aaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_aaa(nil, T243, node(nil, T243, nil))
tappendc116_in_aaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_aaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_aaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_aaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_aaa(nil, T345, node(X818, nil, nil)) → U40_aaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_aaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_aaa(nil, T345, node(X818, nil, nil))
tappendc116_in_aaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_aaa(T398, T396, T397, T399, X818, tappendc116_in_aaa(T398, T399, X818))
tappendc116_in_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_aaa(T448, T449, T451, X921, tappendc217_in_aaa(T451, X919, X921))
tappendc217_in_aaa(nil, X995, X995) → tappendc217_out_aaa(nil, X995, X995)
tappendc217_in_aaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_aaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_aaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_aaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_aaa(nil, X1193, node(X1194, nil, nil)) → U43_aaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(nil, X995, X995) → tappendc217_out_gaa(nil, X995, X995)
tappendc217_in_gaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_gaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_gaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_gaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_gaa(nil, X1193, node(X1194, nil, nil)) → U43_gaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_in_gaa(T569, X1193, X1194))
tappendc217_in_gaa(nil, nil, node(nil, nil, X1313)) → U45_gaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
tappendc217_in_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_gaa(T609, T610, T612, X1313, tappendc217_in_gaa(T612, X1310, X1313))
U46_gaa(T609, T610, T612, X1313, tappendc217_out_gaa(T612, X1310, X1313)) → tappendc217_out_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U45_gaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_gaa(nil, nil, node(nil, nil, X1313))
U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_out_gaa(T569, X1193, X1194)) → tappendc217_out_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U43_gaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_gaa(nil, X1193, node(X1194, nil, nil))
U43_aaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_aaa(nil, X1193, node(X1194, nil, nil))
tappendc217_in_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_in_aaa(T569, X1193, X1194))
tappendc217_in_aaa(nil, nil, node(nil, nil, X1313)) → U45_aaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
U45_aaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_aaa(nil, nil, node(nil, nil, X1313))
tappendc217_in_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_aaa(T609, T610, T612, X1313, tappendc217_in_aaa(T612, X1310, X1313))
U46_aaa(T609, T610, T612, X1313, tappendc217_out_aaa(T612, X1310, X1313)) → tappendc217_out_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_out_aaa(T569, X1193, X1194)) → tappendc217_out_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U42_aaa(T448, T449, T451, X921, tappendc217_out_aaa(T451, X919, X921)) → tappendc116_out_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_aaa(T398, T396, T397, T399, X818, tappendc116_out_aaa(T398, T399, X818)) → tappendc116_out_aaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_aaaa(T234, X619, T235, X563, tappendc116_out_aaa(T234, T235, X563)) → tappendc73_out_aaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_aaaa(T642, X1504, X1430, tappendc217_in_aaa(node(nil, T642, nil), X1427, X1430))
U50_aaaa(T642, X1504, X1430, tappendc217_out_aaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))
tappendc73_in_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_gaaa(T234, X619, T235, node(X563, X619, T234)) → U49_gaaa(T234, X619, T235, X563, tappendc116_in_gaa(T234, T235, X563))
tappendc116_in_gaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_gaa(nil, T243, node(nil, T243, nil))
tappendc116_in_gaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_gaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_gaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_gaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_gaa(nil, T345, node(X818, nil, nil)) → U40_gaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_gaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_gaa(nil, T345, node(X818, nil, nil))
tappendc116_in_gaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_gaa(T398, T396, T397, T399, X818, tappendc116_in_gaa(T398, T399, X818))
tappendc116_in_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_gaa(T448, T449, T451, X921, tappendc217_in_gaa(T451, X919, X921))
U42_gaa(T448, T449, T451, X921, tappendc217_out_gaa(T451, X919, X921)) → tappendc116_out_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_gaa(T398, T396, T397, T399, X818, tappendc116_out_gaa(T398, T399, X818)) → tappendc116_out_gaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_gaaa(T234, X619, T235, X563, tappendc116_out_gaa(T234, T235, X563)) → tappendc73_out_gaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_gaaa(T642, X1504, X1430, tappendc217_in_gaa(node(nil, T642, nil), X1427, X1430))
U50_gaaa(T642, X1504, X1430, tappendc217_out_gaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))

The argument filtering Pi contains the following mapping:
0 = 0
tappendc12_in_aa(x1, x2) = tappendc12_in_aa
tappendc12_out_aa(x1, x2) = tappendc12_out_aa
s(x1) = s(x1)
s2tc39_in_ga(x1, x2) = s2tc39_in_ga(x1)
s2tc39_out_ga(x1, x2) = s2tc39_out_ga(x1)
U37_ga(x1, x2, x3, x4) = U37_ga(x1, x4)
U38_ga(x1, x2, x3, x4) = U38_ga(x1, x4)
U39_ga(x1, x2, x3, x4) = U39_ga(x1, x4)
nil = nil
node(x1, x2, x3) = node(x1, x2, x3)
tappendc73_in_aaaa(x1, x2, x3, x4) = tappendc73_in_aaaa
tappendc73_out_aaaa(x1, x2, x3, x4) = tappendc73_out_aaaa
U49_aaaa(x1, x2, x3, x4, x5) = U49_aaaa(x5)
tappendc116_in_aaa(x1, x2, x3) = tappendc116_in_aaa
tappendc116_out_aaa(x1, x2, x3) = tappendc116_out_aaa
U40_aaa(x1, x2, x3) = U40_aaa(x3)
U41_aaa(x1, x2, x3, x4, x5, x6) = U41_aaa(x6)
U42_aaa(x1, x2, x3, x4, x5) = U42_aaa(x5)
tappendc217_in_aaa(x1, x2, x3) = tappendc217_in_aaa
tappendc217_out_aaa(x1, x2, x3) = tappendc217_out_aaa
U43_aaa(x1, x2, x3) = U43_aaa(x3)
tappendc217_in_gaa(x1, x2, x3) = tappendc217_in_gaa(x1)
tappendc217_out_gaa(x1, x2, x3) = tappendc217_out_gaa(x1)
U43_gaa(x1, x2, x3) = U43_gaa(x3)
U44_gaa(x1, x2, x3, x4, x5, x6) = U44_gaa(x1, x2, x3, x6)
U45_gaa(x1, x2) = U45_gaa(x2)
U46_gaa(x1, x2, x3, x4, x5) = U46_gaa(x1, x2, x3, x5)
U44_aaa(x1, x2, x3, x4, x5, x6) = U44_aaa(x6)
U45_aaa(x1, x2) = U45_aaa(x2)
U46_aaa(x1, x2, x3, x4, x5) = U46_aaa(x5)
U50_aaaa(x1, x2, x3, x4) = U50_aaaa(x4)
tappendc73_in_gaaa(x1, x2, x3, x4) = tappendc73_in_gaaa(x1)
tappendc73_out_gaaa(x1, x2, x3, x4) = tappendc73_out_gaaa(x1)
U49_gaaa(x1, x2, x3, x4, x5) = U49_gaaa(x1, x5)
tappendc116_in_gaa(x1, x2, x3) = tappendc116_in_gaa(x1)
tappendc116_out_gaa(x1, x2, x3) = tappendc116_out_gaa(x1)
U40_gaa(x1, x2, x3) = U40_gaa(x3)
U41_gaa(x1, x2, x3, x4, x5, x6) = U41_gaa(x1, x2, x3, x6)
U42_gaa(x1, x2, x3, x4, x5) = U42_gaa(x1, x2, x3, x5)
U50_gaaa(x1, x2, x3, x4) = U50_gaaa(x1, x4)
TAPPEND116_IN_AAA(x1, x2, x3) = TAPPEND116_IN_AAA

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

(38) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(39) Obligation:

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

TAPPEND116_IN_AAA(node(T398, T396, T397), T399, node(X818, T396, T397)) → TAPPEND116_IN_AAA(T398, T399, X818)

R is empty.
The argument filtering Pi contains the following mapping:
node(x1, x2, x3) = node(x1, x2, x3)
TAPPEND116_IN_AAA(x1, x2, x3) = TAPPEND116_IN_AAA

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

(40) PiDPToQDPProof (SOUND transformation)

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

(41) Obligation:

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

TAPPEND116_IN_AAA → TAPPEND116_IN_AAA

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

(42) NonTerminationProof (EQUIVALENT transformation)

We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
Found a loop by semiunifying a rule from P directly.

s = TAPPEND116_IN_AAA evaluates to t =TAPPEND116_IN_AAA

Thus s starts an infinite chain as s semiunifies with t with the following substitutions:

Matcher: [ ]
Semiunifier: [ ]

Rewriting sequence

The DP semiunifies directly so there is only one rewrite step from TAPPEND116_IN_AAA to TAPPEND116_IN_AAA.

(43) NO

(44) Obligation:

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

S2T39_IN_GA(s(T115), node(nil, X257, X258)) → S2T39_IN_GA(T115, X258)
S2T39_IN_GA(s(T107), node(X217, X218, X217)) → S2T39_IN_GA(T107, X217)
S2T39_IN_GA(s(T123), node(X297, X298, nil)) → S2T39_IN_GA(T123, X297)

The TRS R consists of the following rules:

tappendc12_in_aa(T43, node(nil, T43, nil)) → tappendc12_out_aa(T43, node(nil, T43, nil))
s2tc39_in_ga(0, nil) → s2tc39_out_ga(0, nil)
s2tc39_in_ga(s(T107), node(X217, X218, X217)) → U37_ga(T107, X217, X218, s2tc39_in_ga(T107, X217))
s2tc39_in_ga(s(T115), node(nil, X257, X258)) → U38_ga(T115, X257, X258, s2tc39_in_ga(T115, X258))
s2tc39_in_ga(s(T123), node(X297, X298, nil)) → U39_ga(T123, X297, X298, s2tc39_in_ga(T123, X297))
s2tc39_in_ga(T126, node(nil, X315, nil)) → s2tc39_out_ga(T126, node(nil, X315, nil))
U39_ga(T123, X297, X298, s2tc39_out_ga(T123, X297)) → s2tc39_out_ga(s(T123), node(X297, X298, nil))
U38_ga(T115, X257, X258, s2tc39_out_ga(T115, X258)) → s2tc39_out_ga(s(T115), node(nil, X257, X258))
U37_ga(T107, X217, X218, s2tc39_out_ga(T107, X217)) → s2tc39_out_ga(s(T107), node(X217, X218, X217))
tappendc73_in_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_aaaa(T234, X619, T235, node(X563, X619, T234)) → U49_aaaa(T234, X619, T235, X563, tappendc116_in_aaa(T234, T235, X563))
tappendc116_in_aaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_aaa(nil, T243, node(nil, T243, nil))
tappendc116_in_aaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_aaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_aaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_aaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_aaa(nil, T345, node(X818, nil, nil)) → U40_aaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_aaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_aaa(nil, T345, node(X818, nil, nil))
tappendc116_in_aaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_aaa(T398, T396, T397, T399, X818, tappendc116_in_aaa(T398, T399, X818))
tappendc116_in_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_aaa(T448, T449, T451, X921, tappendc217_in_aaa(T451, X919, X921))
tappendc217_in_aaa(nil, X995, X995) → tappendc217_out_aaa(nil, X995, X995)
tappendc217_in_aaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_aaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_aaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_aaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_aaa(nil, X1193, node(X1194, nil, nil)) → U43_aaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(nil, X995, X995) → tappendc217_out_gaa(nil, X995, X995)
tappendc217_in_gaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_gaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_gaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_gaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_gaa(nil, X1193, node(X1194, nil, nil)) → U43_gaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_in_gaa(T569, X1193, X1194))
tappendc217_in_gaa(nil, nil, node(nil, nil, X1313)) → U45_gaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
tappendc217_in_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_gaa(T609, T610, T612, X1313, tappendc217_in_gaa(T612, X1310, X1313))
U46_gaa(T609, T610, T612, X1313, tappendc217_out_gaa(T612, X1310, X1313)) → tappendc217_out_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U45_gaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_gaa(nil, nil, node(nil, nil, X1313))
U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_out_gaa(T569, X1193, X1194)) → tappendc217_out_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U43_gaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_gaa(nil, X1193, node(X1194, nil, nil))
U43_aaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_aaa(nil, X1193, node(X1194, nil, nil))
tappendc217_in_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_in_aaa(T569, X1193, X1194))
tappendc217_in_aaa(nil, nil, node(nil, nil, X1313)) → U45_aaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
U45_aaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_aaa(nil, nil, node(nil, nil, X1313))
tappendc217_in_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_aaa(T609, T610, T612, X1313, tappendc217_in_aaa(T612, X1310, X1313))
U46_aaa(T609, T610, T612, X1313, tappendc217_out_aaa(T612, X1310, X1313)) → tappendc217_out_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_out_aaa(T569, X1193, X1194)) → tappendc217_out_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U42_aaa(T448, T449, T451, X921, tappendc217_out_aaa(T451, X919, X921)) → tappendc116_out_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_aaa(T398, T396, T397, T399, X818, tappendc116_out_aaa(T398, T399, X818)) → tappendc116_out_aaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_aaaa(T234, X619, T235, X563, tappendc116_out_aaa(T234, T235, X563)) → tappendc73_out_aaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_aaaa(T642, X1504, X1430, tappendc217_in_aaa(node(nil, T642, nil), X1427, X1430))
U50_aaaa(T642, X1504, X1430, tappendc217_out_aaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))
tappendc73_in_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_gaaa(T234, X619, T235, node(X563, X619, T234)) → U49_gaaa(T234, X619, T235, X563, tappendc116_in_gaa(T234, T235, X563))
tappendc116_in_gaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_gaa(nil, T243, node(nil, T243, nil))
tappendc116_in_gaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_gaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_gaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_gaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_gaa(nil, T345, node(X818, nil, nil)) → U40_gaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_gaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_gaa(nil, T345, node(X818, nil, nil))
tappendc116_in_gaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_gaa(T398, T396, T397, T399, X818, tappendc116_in_gaa(T398, T399, X818))
tappendc116_in_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_gaa(T448, T449, T451, X921, tappendc217_in_gaa(T451, X919, X921))
U42_gaa(T448, T449, T451, X921, tappendc217_out_gaa(T451, X919, X921)) → tappendc116_out_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_gaa(T398, T396, T397, T399, X818, tappendc116_out_gaa(T398, T399, X818)) → tappendc116_out_gaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_gaaa(T234, X619, T235, X563, tappendc116_out_gaa(T234, T235, X563)) → tappendc73_out_gaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_gaaa(T642, X1504, X1430, tappendc217_in_gaa(node(nil, T642, nil), X1427, X1430))
U50_gaaa(T642, X1504, X1430, tappendc217_out_gaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))

The argument filtering Pi contains the following mapping:
0 = 0
tappendc12_in_aa(x1, x2) = tappendc12_in_aa
tappendc12_out_aa(x1, x2) = tappendc12_out_aa
s(x1) = s(x1)
s2tc39_in_ga(x1, x2) = s2tc39_in_ga(x1)
s2tc39_out_ga(x1, x2) = s2tc39_out_ga(x1)
U37_ga(x1, x2, x3, x4) = U37_ga(x1, x4)
U38_ga(x1, x2, x3, x4) = U38_ga(x1, x4)
U39_ga(x1, x2, x3, x4) = U39_ga(x1, x4)
nil = nil
node(x1, x2, x3) = node(x1, x2, x3)
tappendc73_in_aaaa(x1, x2, x3, x4) = tappendc73_in_aaaa
tappendc73_out_aaaa(x1, x2, x3, x4) = tappendc73_out_aaaa
U49_aaaa(x1, x2, x3, x4, x5) = U49_aaaa(x5)
tappendc116_in_aaa(x1, x2, x3) = tappendc116_in_aaa
tappendc116_out_aaa(x1, x2, x3) = tappendc116_out_aaa
U40_aaa(x1, x2, x3) = U40_aaa(x3)
U41_aaa(x1, x2, x3, x4, x5, x6) = U41_aaa(x6)
U42_aaa(x1, x2, x3, x4, x5) = U42_aaa(x5)
tappendc217_in_aaa(x1, x2, x3) = tappendc217_in_aaa
tappendc217_out_aaa(x1, x2, x3) = tappendc217_out_aaa
U43_aaa(x1, x2, x3) = U43_aaa(x3)
tappendc217_in_gaa(x1, x2, x3) = tappendc217_in_gaa(x1)
tappendc217_out_gaa(x1, x2, x3) = tappendc217_out_gaa(x1)
U43_gaa(x1, x2, x3) = U43_gaa(x3)
U44_gaa(x1, x2, x3, x4, x5, x6) = U44_gaa(x1, x2, x3, x6)
U45_gaa(x1, x2) = U45_gaa(x2)
U46_gaa(x1, x2, x3, x4, x5) = U46_gaa(x1, x2, x3, x5)
U44_aaa(x1, x2, x3, x4, x5, x6) = U44_aaa(x6)
U45_aaa(x1, x2) = U45_aaa(x2)
U46_aaa(x1, x2, x3, x4, x5) = U46_aaa(x5)
U50_aaaa(x1, x2, x3, x4) = U50_aaaa(x4)
tappendc73_in_gaaa(x1, x2, x3, x4) = tappendc73_in_gaaa(x1)
tappendc73_out_gaaa(x1, x2, x3, x4) = tappendc73_out_gaaa(x1)
U49_gaaa(x1, x2, x3, x4, x5) = U49_gaaa(x1, x5)
tappendc116_in_gaa(x1, x2, x3) = tappendc116_in_gaa(x1)
tappendc116_out_gaa(x1, x2, x3) = tappendc116_out_gaa(x1)
U40_gaa(x1, x2, x3) = U40_gaa(x3)
U41_gaa(x1, x2, x3, x4, x5, x6) = U41_gaa(x1, x2, x3, x6)
U42_gaa(x1, x2, x3, x4, x5) = U42_gaa(x1, x2, x3, x5)
U50_gaaa(x1, x2, x3, x4) = U50_gaaa(x1, x4)
S2T39_IN_GA(x1, x2) = S2T39_IN_GA(x1)

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

(45) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(46) Obligation:

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

S2T39_IN_GA(s(T115), node(nil, X257, X258)) → S2T39_IN_GA(T115, X258)
S2T39_IN_GA(s(T107), node(X217, X218, X217)) → S2T39_IN_GA(T107, X217)
S2T39_IN_GA(s(T123), node(X297, X298, nil)) → S2T39_IN_GA(T123, X297)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1) = s(x1)
nil = nil
node(x1, x2, x3) = node(x1, x2, x3)
S2T39_IN_GA(x1, x2) = S2T39_IN_GA(x1)

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

(47) PiDPToQDPProof (SOUND transformation)

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

(48) Obligation:

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

S2T39_IN_GA(s(T115)) → S2T39_IN_GA(T115)

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

(49) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

S2T39_IN_GA(s(T115)) → S2T39_IN_GA(T115)
The graph contains the following edges 1 > 1

(50) YES

(51) Obligation:

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

TLAST13_IN_AA(T87, node(T84, T85, T88)) → TLAST13_IN_AA(T87, T88)
TLAST13_IN_AA(T71, node(T72, T69, T70)) → TLAST13_IN_AA(T71, T72)

The TRS R consists of the following rules:

tappendc12_in_aa(T43, node(nil, T43, nil)) → tappendc12_out_aa(T43, node(nil, T43, nil))
s2tc39_in_ga(0, nil) → s2tc39_out_ga(0, nil)
s2tc39_in_ga(s(T107), node(X217, X218, X217)) → U37_ga(T107, X217, X218, s2tc39_in_ga(T107, X217))
s2tc39_in_ga(s(T115), node(nil, X257, X258)) → U38_ga(T115, X257, X258, s2tc39_in_ga(T115, X258))
s2tc39_in_ga(s(T123), node(X297, X298, nil)) → U39_ga(T123, X297, X298, s2tc39_in_ga(T123, X297))
s2tc39_in_ga(T126, node(nil, X315, nil)) → s2tc39_out_ga(T126, node(nil, X315, nil))
U39_ga(T123, X297, X298, s2tc39_out_ga(T123, X297)) → s2tc39_out_ga(s(T123), node(X297, X298, nil))
U38_ga(T115, X257, X258, s2tc39_out_ga(T115, X258)) → s2tc39_out_ga(s(T115), node(nil, X257, X258))
U37_ga(T107, X217, X218, s2tc39_out_ga(T107, X217)) → s2tc39_out_ga(s(T107), node(X217, X218, X217))
tappendc73_in_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_aaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_aaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_aaaa(T234, X619, T235, node(X563, X619, T234)) → U49_aaaa(T234, X619, T235, X563, tappendc116_in_aaa(T234, T235, X563))
tappendc116_in_aaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_aaa(nil, T243, node(nil, T243, nil))
tappendc116_in_aaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_aaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_aaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_aaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_aaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_aaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_aaa(nil, T345, node(X818, nil, nil)) → U40_aaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_aaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_aaa(nil, T345, node(X818, nil, nil))
tappendc116_in_aaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_aaa(T398, T396, T397, T399, X818, tappendc116_in_aaa(T398, T399, X818))
tappendc116_in_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_aaa(T448, T449, T451, X921, tappendc217_in_aaa(T451, X919, X921))
tappendc217_in_aaa(nil, X995, X995) → tappendc217_out_aaa(nil, X995, X995)
tappendc217_in_aaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_aaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_aaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_aaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_aaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_aaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_aaa(nil, X1193, node(X1194, nil, nil)) → U43_aaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(nil, X995, X995) → tappendc217_out_gaa(nil, X995, X995)
tappendc217_in_gaa(nil, X1028, node(X1028, nil, nil)) → tappendc217_out_gaa(nil, X1028, node(X1028, nil, nil))
tappendc217_in_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486)) → tappendc217_out_gaa(node(nil, T485, T486), X1028, node(X1028, T485, T486))
tappendc217_in_gaa(nil, X1099, node(nil, nil, X1099)) → tappendc217_out_gaa(nil, X1099, node(nil, nil, X1099))
tappendc217_in_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099)) → tappendc217_out_gaa(node(T522, T523, nil), X1099, node(T522, T523, X1099))
tappendc217_in_gaa(nil, X1193, node(X1194, nil, nil)) → U43_gaa(X1193, X1194, tappendc217_in_gaa(nil, X1193, X1194))
tappendc217_in_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_in_gaa(T569, X1193, X1194))
tappendc217_in_gaa(nil, nil, node(nil, nil, X1313)) → U45_gaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
tappendc217_in_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_gaa(T609, T610, T612, X1313, tappendc217_in_gaa(T612, X1310, X1313))
U46_gaa(T609, T610, T612, X1313, tappendc217_out_gaa(T612, X1310, X1313)) → tappendc217_out_gaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U45_gaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_gaa(nil, nil, node(nil, nil, X1313))
U44_gaa(T569, T567, T568, X1193, X1194, tappendc217_out_gaa(T569, X1193, X1194)) → tappendc217_out_gaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U43_gaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_gaa(nil, X1193, node(X1194, nil, nil))
U43_aaa(X1193, X1194, tappendc217_out_gaa(nil, X1193, X1194)) → tappendc217_out_aaa(nil, X1193, node(X1194, nil, nil))
tappendc217_in_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568)) → U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_in_aaa(T569, X1193, X1194))
tappendc217_in_aaa(nil, nil, node(nil, nil, X1313)) → U45_aaa(X1313, tappendc217_in_gaa(nil, X1310, X1313))
U45_aaa(X1313, tappendc217_out_gaa(nil, X1310, X1313)) → tappendc217_out_aaa(nil, nil, node(nil, nil, X1313))
tappendc217_in_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313)) → U46_aaa(T609, T610, T612, X1313, tappendc217_in_aaa(T612, X1310, X1313))
U46_aaa(T609, T610, T612, X1313, tappendc217_out_aaa(T612, X1310, X1313)) → tappendc217_out_aaa(node(T609, T610, T612), T609, node(T609, T610, X1313))
U44_aaa(T569, T567, T568, X1193, X1194, tappendc217_out_aaa(T569, X1193, X1194)) → tappendc217_out_aaa(node(T569, T567, T568), X1193, node(X1194, T567, T568))
U42_aaa(T448, T449, T451, X921, tappendc217_out_aaa(T451, X919, X921)) → tappendc116_out_aaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_aaa(T398, T396, T397, T399, X818, tappendc116_out_aaa(T398, T399, X818)) → tappendc116_out_aaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_aaaa(T234, X619, T235, X563, tappendc116_out_aaa(T234, T235, X563)) → tappendc73_out_aaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_aaaa(T642, X1504, X1430, tappendc217_in_aaa(node(nil, T642, nil), X1427, X1430))
U50_aaaa(T642, X1504, X1430, tappendc217_out_aaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_aaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))
tappendc73_in_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil)) → tappendc73_out_gaaa(nil, X437, T165, node(node(nil, T165, nil), X437, nil))
tappendc73_in_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil))) → tappendc73_out_gaaa(nil, X511, T181, node(nil, X511, node(nil, T181, nil)))
tappendc73_in_gaaa(T234, X619, T235, node(X563, X619, T234)) → U49_gaaa(T234, X619, T235, X563, tappendc116_in_gaa(T234, T235, X563))
tappendc116_in_gaa(nil, T243, node(nil, T243, nil)) → tappendc116_out_gaa(nil, T243, node(nil, T243, nil))
tappendc116_in_gaa(nil, T255, node(node(nil, T255, nil), nil, nil)) → tappendc116_out_gaa(nil, T255, node(node(nil, T255, nil), nil, nil))
tappendc116_in_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283)) → tappendc116_out_gaa(node(nil, T282, T283), T255, node(node(nil, T255, nil), T282, T283))
tappendc116_in_gaa(nil, T295, node(nil, nil, node(nil, T295, nil))) → tappendc116_out_gaa(nil, T295, node(nil, nil, node(nil, T295, nil)))
tappendc116_in_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil))) → tappendc116_out_gaa(node(T324, T325, nil), T295, node(T324, T325, node(nil, T295, nil)))
tappendc116_in_gaa(nil, T345, node(X818, nil, nil)) → U40_gaa(T345, X818, tappendc12_in_aa(T345, X818))
U40_gaa(T345, X818, tappendc12_out_aa(T345, X818)) → tappendc116_out_gaa(nil, T345, node(X818, nil, nil))
tappendc116_in_gaa(node(T398, T396, T397), T399, node(X818, T396, T397)) → U41_gaa(T398, T396, T397, T399, X818, tappendc116_in_gaa(T398, T399, X818))
tappendc116_in_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921)) → U42_gaa(T448, T449, T451, X921, tappendc217_in_gaa(T451, X919, X921))
U42_gaa(T448, T449, T451, X921, tappendc217_out_gaa(T451, X919, X921)) → tappendc116_out_gaa(node(node(nil, T448, nil), T449, T451), T448, node(node(nil, T448, nil), T449, X921))
U41_gaa(T398, T396, T397, T399, X818, tappendc116_out_gaa(T398, T399, X818)) → tappendc116_out_gaa(node(T398, T396, T397), T399, node(X818, T396, T397))
U49_gaaa(T234, X619, T235, X563, tappendc116_out_gaa(T234, T235, X563)) → tappendc73_out_gaaa(T234, X619, T235, node(X563, X619, T234))
tappendc73_in_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430)) → U50_gaaa(T642, X1504, X1430, tappendc217_in_gaa(node(nil, T642, nil), X1427, X1430))
U50_gaaa(T642, X1504, X1430, tappendc217_out_gaa(node(nil, T642, nil), X1427, X1430)) → tappendc73_out_gaaa(node(nil, T642, nil), X1504, T642, node(node(nil, T642, nil), X1504, X1430))

The argument filtering Pi contains the following mapping:
0 = 0
tappendc12_in_aa(x1, x2) = tappendc12_in_aa
tappendc12_out_aa(x1, x2) = tappendc12_out_aa
s(x1) = s(x1)
s2tc39_in_ga(x1, x2) = s2tc39_in_ga(x1)
s2tc39_out_ga(x1, x2) = s2tc39_out_ga(x1)
U37_ga(x1, x2, x3, x4) = U37_ga(x1, x4)
U38_ga(x1, x2, x3, x4) = U38_ga(x1, x4)
U39_ga(x1, x2, x3, x4) = U39_ga(x1, x4)
nil = nil
node(x1, x2, x3) = node(x1, x2, x3)
tappendc73_in_aaaa(x1, x2, x3, x4) = tappendc73_in_aaaa
tappendc73_out_aaaa(x1, x2, x3, x4) = tappendc73_out_aaaa
U49_aaaa(x1, x2, x3, x4, x5) = U49_aaaa(x5)
tappendc116_in_aaa(x1, x2, x3) = tappendc116_in_aaa
tappendc116_out_aaa(x1, x2, x3) = tappendc116_out_aaa
U40_aaa(x1, x2, x3) = U40_aaa(x3)
U41_aaa(x1, x2, x3, x4, x5, x6) = U41_aaa(x6)
U42_aaa(x1, x2, x3, x4, x5) = U42_aaa(x5)
tappendc217_in_aaa(x1, x2, x3) = tappendc217_in_aaa
tappendc217_out_aaa(x1, x2, x3) = tappendc217_out_aaa
U43_aaa(x1, x2, x3) = U43_aaa(x3)
tappendc217_in_gaa(x1, x2, x3) = tappendc217_in_gaa(x1)
tappendc217_out_gaa(x1, x2, x3) = tappendc217_out_gaa(x1)
U43_gaa(x1, x2, x3) = U43_gaa(x3)
U44_gaa(x1, x2, x3, x4, x5, x6) = U44_gaa(x1, x2, x3, x6)
U45_gaa(x1, x2) = U45_gaa(x2)
U46_gaa(x1, x2, x3, x4, x5) = U46_gaa(x1, x2, x3, x5)
U44_aaa(x1, x2, x3, x4, x5, x6) = U44_aaa(x6)
U45_aaa(x1, x2) = U45_aaa(x2)
U46_aaa(x1, x2, x3, x4, x5) = U46_aaa(x5)
U50_aaaa(x1, x2, x3, x4) = U50_aaaa(x4)
tappendc73_in_gaaa(x1, x2, x3, x4) = tappendc73_in_gaaa(x1)
tappendc73_out_gaaa(x1, x2, x3, x4) = tappendc73_out_gaaa(x1)
U49_gaaa(x1, x2, x3, x4, x5) = U49_gaaa(x1, x5)
tappendc116_in_gaa(x1, x2, x3) = tappendc116_in_gaa(x1)
tappendc116_out_gaa(x1, x2, x3) = tappendc116_out_gaa(x1)
U40_gaa(x1, x2, x3) = U40_gaa(x3)
U41_gaa(x1, x2, x3, x4, x5, x6) = U41_gaa(x1, x2, x3, x6)
U42_gaa(x1, x2, x3, x4, x5) = U42_gaa(x1, x2, x3, x5)
U50_gaaa(x1, x2, x3, x4) = U50_gaaa(x1, x4)
TLAST13_IN_AA(x1, x2) = TLAST13_IN_AA

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

(52) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(53) Obligation:

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

TLAST13_IN_AA(T87, node(T84, T85, T88)) → TLAST13_IN_AA(T87, T88)
TLAST13_IN_AA(T71, node(T72, T69, T70)) → TLAST13_IN_AA(T71, T72)

R is empty.
The argument filtering Pi contains the following mapping:
node(x1, x2, x3) = node(x1, x2, x3)
TLAST13_IN_AA(x1, x2) = TLAST13_IN_AA

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

(54) PiDPToQDPProof (SOUND transformation)

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

(55) Obligation:

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

TLAST13_IN_AA → TLAST13_IN_AA

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

(56) NonTerminationProof (EQUIVALENT transformation)

We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
Found a loop by semiunifying a rule from P directly.

s = TLAST13_IN_AA evaluates to t =TLAST13_IN_AA

Thus s starts an infinite chain as s semiunifies with t with the following substitutions:

Semiunifier: [ ]
Matcher: [ ]

Rewriting sequence

The DP semiunifies directly so there is only one rewrite step from TLAST13_IN_AA to TLAST13_IN_AA.

(0) Obligation:

(1) PrologToDTProblemTransformerProof (SOUND transformation)

(2) Obligation:

(3) UndefinedPredicateInTriplesTransformerProof (SOUND transformation)

(4) Obligation:

(5) TriplesToPiDPProof (SOUND transformation)

(6) Obligation:

(7) DependencyGraphProof (EQUIVALENT transformation)

(8) Complex Obligation (AND)

(9) Obligation:

(10) UsableRulesProof (EQUIVALENT transformation)

(11) Obligation:

(12) PiDPToQDPProof (SOUND transformation)

(13) Obligation:

(14) NonTerminationProof (EQUIVALENT transformation)

(15) NO

(16) Obligation:

(17) UsableRulesProof (EQUIVALENT transformation)

(18) Obligation:

(19) PiDPToQDPProof (SOUND transformation)

(20) Obligation:

(21) QDPSizeChangeProof (EQUIVALENT transformation)

(22) YES

(23) Obligation:

(24) UsableRulesProof (EQUIVALENT transformation)

(25) Obligation:

(26) PiDPToQDPProof (SOUND transformation)

(27) Obligation:

(28) QDPSizeChangeProof (EQUIVALENT transformation)

(29) YES

(30) Obligation:

(31) UsableRulesProof (EQUIVALENT transformation)

(32) Obligation:

(33) PiDPToQDPProof (SOUND transformation)

(34) Obligation:

(35) NonTerminationProof (EQUIVALENT transformation)

(36) NO

(37) Obligation:

(38) UsableRulesProof (EQUIVALENT transformation)

(39) Obligation:

(40) PiDPToQDPProof (SOUND transformation)

(41) Obligation:

(42) NonTerminationProof (EQUIVALENT transformation)

(43) NO

(44) Obligation:

(45) UsableRulesProof (EQUIVALENT transformation)

(46) Obligation:

(47) PiDPToQDPProof (SOUND transformation)

(48) Obligation:

(49) QDPSizeChangeProof (EQUIVALENT transformation)

(50) YES

(51) Obligation:

(52) UsableRulesProof (EQUIVALENT transformation)

(53) Obligation:

(54) PiDPToQDPProof (SOUND transformation)

(55) Obligation:

(56) NonTerminationProof (EQUIVALENT transformation)

(57) NO