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

(0) Obligation:

Clauses:

goal :- ','(np(S1, S2, S), verb(S2, S3, S)).
parse(S0, Meaning) :- ','(np(S0, S1, Meaning), verb(S1, [], Meaning)).
parse(S0, Meaning) :- ','(np(S0, S1, Meaning), ','(verb(S1, S2, Meaning), =(S2, []))).
np(Si, So, S) :- ','(det(Si, St, T), ','(noun(St, So, N), comb(T, N, S))).
comb(a, -(N, s), s(s, N, V)).
comb(the, -(N, P), s(P, N, V)).
det(.(a, S), S, a).
det(.(the, S), S, the).
noun(.(book, S), S, -(book, s)).
noun(.(books, S), S, -(book, p)).
noun(.(box, S), S, -(box, s)).
noun(.(boxes, S), S, -(box, p)).
verb(.(falls, So), So, s(s, N, fall)).
verb(.(fall, So), So, s(p, N, fall)).
verb(.(flies, So), So, s(s, N, fly)).
verb(.(fly, So), So, s(p, N, fly)).

Query: goal()

(1) PrologToDTProblemTransformerProof (SOUND transformation)

Built DT problem from termination graph DT10.

digraph dp_graph {
node [outthreshold=100, inthreshold=100];
1 [label="A: goal\n\n", fontsize=16, style=filled, fillcolor=lightyellow, color=red];
2 [label="2: goal, SCOPE: 1, CLAUSE: 0\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3 [label="3: ','(np(X1, X2, X3), verb(X2, X4, X3))\n\nX1 is free\nX2 is free\nX3 is free\nX4 is free", fontsize=16, style=filled, fillcolor=lightyellow];
4 [label="4: ','(np(X1, X2, X3), verb(X2, X4, X3)), SCOPE: 2, CLAUSE: 3\n\nX1 is free\nX2 is free\nX3 is free\nX4 is free", fontsize=16, style=filled, fillcolor=lightyellow];
5 [label="5: ','(','(det(X26, X23, X24), ','(noun(X23, X27, X25), comb(X24, X25, X28))), verb(X27, X4, X28))\n\nX4 is free\nX26 is free\nX27 is free\nX28 is free\nX23 is free\nX24 is free\nX25 is free", fontsize=16, style=filled, fillcolor=lightyellow];
6 [label="6: ','(','(det(X26, X23, X24), ','(noun(X23, X27, X25), comb(X24, X25, X28))), verb(X27, X4, X28)), SCOPE: 3, CLAUSE: 6 | ','(','(det(X26, X23, X24), ','(noun(X23, X27, X25), comb(X24, X25, X28))), verb(X27, X4, X28)), SCOPE: 3, CLAUSE: 7\n\nX4 is free\nX26 is free\nX27 is free\nX28 is free\nX23 is free\nX24 is free\nX25 is free", fontsize=16, style=filled, fillcolor=lightyellow];
7 [label="7: ','(','(det(X26, X23, X24), ','(noun(X23, X27, X25), comb(X24, X25, X28))), verb(X27, X4, X28)), SCOPE: 3, CLAUSE: 6\n\nX4 is free\nX26 is free\nX27 is free\nX28 is free\nX23 is free\nX24 is free\nX25 is free", fontsize=16, style=filled, fillcolor=lightyellow];
8 [label="8: ','(','(det(X26, X23, X24), ','(noun(X23, X27, X25), comb(X24, X25, X28))), verb(X27, X4, X28)), SCOPE: 3, CLAUSE: 7\n\nX4 is free\nX26 is free\nX27 is free\nX28 is free\nX23 is free\nX24 is free\nX25 is free", fontsize=16, style=filled, fillcolor=lightyellow];
9 [label="9: ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28))\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX38 is free", fontsize=16, style=filled, fillcolor=lightyellow];
10 [label="10: ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 8 | ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 9 | ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 10 | ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 11\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX38 is free", fontsize=16, style=filled, fillcolor=lightyellow];
11 [label="11: ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 8\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX38 is free", fontsize=16, style=filled, fillcolor=lightyellow];
12 [label="12: ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 9 | ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 10 | ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 11\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX38 is free", fontsize=16, style=filled, fillcolor=lightyellow];
13 [label="13: ','(comb(a, -(book, s), X28), verb(X48, X4, X28))\n\nX4 is free\nX28 is free\nX48 is free", fontsize=16, style=filled, fillcolor=lightyellow];
14 [label="14: ','(comb(a, -(book, s), X28), verb(X48, X4, X28)), SCOPE: 5, CLAUSE: 4 | ','(comb(a, -(book, s), X28), verb(X48, X4, X28)), SCOPE: 5, CLAUSE: 5\n\nX4 is free\nX28 is free\nX48 is free", fontsize=16, style=filled, fillcolor=lightyellow];
15 [label="15: ','(comb(a, -(book, s), X28), verb(X48, X4, X28)), SCOPE: 5, CLAUSE: 4\n\nX4 is free\nX28 is free\nX48 is free", fontsize=16, style=filled, fillcolor=lightyellow];
16 [label="16: ','(comb(a, -(book, s), X28), verb(X48, X4, X28)), SCOPE: 5, CLAUSE: 5\n\nX4 is free\nX28 is free\nX48 is free", fontsize=16, style=filled, fillcolor=lightyellow];
17 [label="17: verb(X48, X4, s(s, book, X63))\n\nX4 is free\nX48 is free\nX63 is free", fontsize=16, style=filled, fillcolor=lightyellow];
18 [label="18: verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 12 | verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 13 | verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 14 | verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 15\n\nX4 is free\nX48 is free\nX63 is free", fontsize=16, style=filled, fillcolor=lightyellow];
19 [label="19: verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 12\n\nX4 is free\nX48 is free\nX63 is free", fontsize=16, style=filled, fillcolor=lightyellow];
20 [label="20: verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 13 | verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 14 | verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 15\n\nX4 is free\nX48 is free\nX63 is free", fontsize=16, style=filled, fillcolor=lightyellow];
21 [label="21: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
22 [label="22: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
23 [label="23: verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 14 | verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 15\n\nX4 is free\nX48 is free\nX63 is free", fontsize=16, style=filled, fillcolor=lightyellow];
24 [label="24: verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 14\n\nX4 is free\nX48 is free\nX63 is free", fontsize=16, style=filled, fillcolor=lightyellow];
25 [label="25: verb(X48, X4, s(s, book, X63)), SCOPE: 6, CLAUSE: 15\n\nX4 is free\nX48 is free\nX63 is free", fontsize=16, style=filled, fillcolor=lightyellow];
26 [label="26: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
27 [label="27: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
28 [label="28: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
29 [label="29: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
30 [label="30: ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 9\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX38 is free", fontsize=16, style=filled, fillcolor=lightyellow];
31 [label="31: ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 10 | ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 11\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX38 is free", fontsize=16, style=filled, fillcolor=lightyellow];
32 [label="32: ','(comb(a, -(book, p), X28), verb(X112, X4, X28))\n\nX4 is free\nX28 is free\nX112 is free", fontsize=16, style=filled, fillcolor=lightyellow];
33 [label="33: ','(comb(a, -(book, p), X28), verb(X112, X4, X28)), SCOPE: 7, CLAUSE: 4 | ','(comb(a, -(book, p), X28), verb(X112, X4, X28)), SCOPE: 7, CLAUSE: 5\n\nX4 is free\nX28 is free\nX112 is free", fontsize=16, style=filled, fillcolor=lightyellow];
34 [label="34: ','(comb(a, -(book, p), X28), verb(X112, X4, X28)), SCOPE: 7, CLAUSE: 5\n\nX4 is free\nX28 is free\nX112 is free", fontsize=16, style=filled, fillcolor=lightyellow];
35 [label="35: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
36 [label="36: ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 10\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX38 is free", fontsize=16, style=filled, fillcolor=lightyellow];
37 [label="37: ','(','(noun(X38, X27, X25), comb(a, X25, X28)), verb(X27, X4, X28)), SCOPE: 4, CLAUSE: 11\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX38 is free", fontsize=16, style=filled, fillcolor=lightyellow];
38 [label="38: ','(comb(a, -(box, s), X28), verb(X127, X4, X28))\n\nX4 is free\nX28 is free\nX127 is free", fontsize=16, style=filled, fillcolor=lightyellow];
39 [label="39: ','(comb(a, -(box, s), X28), verb(X127, X4, X28)), SCOPE: 8, CLAUSE: 4 | ','(comb(a, -(box, s), X28), verb(X127, X4, X28)), SCOPE: 8, CLAUSE: 5\n\nX4 is free\nX28 is free\nX127 is free", fontsize=16, style=filled, fillcolor=lightyellow];
40 [label="40: ','(comb(a, -(box, s), X28), verb(X127, X4, X28)), SCOPE: 8, CLAUSE: 4\n\nX4 is free\nX28 is free\nX127 is free", fontsize=16, style=filled, fillcolor=lightyellow];
41 [label="41: ','(comb(a, -(box, s), X28), verb(X127, X4, X28)), SCOPE: 8, CLAUSE: 5\n\nX4 is free\nX28 is free\nX127 is free", fontsize=16, style=filled, fillcolor=lightyellow];
42 [label="42: verb(X127, X4, s(s, box, X142))\n\nX4 is free\nX127 is free\nX142 is free", fontsize=16, style=filled, fillcolor=lightyellow];
43 [label="43: verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 12 | verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 13 | verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 14 | verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 15\n\nX4 is free\nX127 is free\nX142 is free", fontsize=16, style=filled, fillcolor=lightyellow];
44 [label="44: verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 12\n\nX4 is free\nX127 is free\nX142 is free", fontsize=16, style=filled, fillcolor=lightyellow];
45 [label="45: verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 13 | verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 14 | verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 15\n\nX4 is free\nX127 is free\nX142 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: verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 14 | verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 15\n\nX4 is free\nX127 is free\nX142 is free", fontsize=16, style=filled, fillcolor=lightyellow];
49 [label="49: verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 14\n\nX4 is free\nX127 is free\nX142 is free", fontsize=16, style=filled, fillcolor=lightyellow];
50 [label="50: verb(X127, X4, s(s, box, X142)), SCOPE: 9, CLAUSE: 15\n\nX4 is free\nX127 is free\nX142 is free", fontsize=16, style=filled, fillcolor=lightyellow];
51 [label="51: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
52 [label="52: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
53 [label="53: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
54 [label="54: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
55 [label="55: ','(comb(a, -(box, p), X28), verb(X187, X4, X28))\n\nX4 is free\nX28 is free\nX187 is free", fontsize=16, style=filled, fillcolor=lightyellow];
56 [label="56: ','(comb(a, -(box, p), X28), verb(X187, X4, X28)), SCOPE: 10, CLAUSE: 4 | ','(comb(a, -(box, p), X28), verb(X187, X4, X28)), SCOPE: 10, CLAUSE: 5\n\nX4 is free\nX28 is free\nX187 is free", fontsize=16, style=filled, fillcolor=lightyellow];
57 [label="57: ','(comb(a, -(box, p), X28), verb(X187, X4, X28)), SCOPE: 10, CLAUSE: 5\n\nX4 is free\nX28 is free\nX187 is free", fontsize=16, style=filled, fillcolor=lightyellow];
58 [label="58: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
59 [label="59: ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28))\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX198 is free", fontsize=16, style=filled, fillcolor=lightyellow];
60 [label="60: ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 8 | ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 9 | ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 10 | ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 11\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX198 is free", fontsize=16, style=filled, fillcolor=lightyellow];
61 [label="61: ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 8\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX198 is free", fontsize=16, style=filled, fillcolor=lightyellow];
62 [label="62: ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 9 | ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 10 | ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 11\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX198 is free", fontsize=16, style=filled, fillcolor=lightyellow];
63 [label="63: ','(comb(the, -(book, s), X28), verb(X208, X4, X28))\n\nX4 is free\nX28 is free\nX208 is free", fontsize=16, style=filled, fillcolor=lightyellow];
64 [label="64: ','(comb(the, -(book, s), X28), verb(X208, X4, X28)), SCOPE: 12, CLAUSE: 4 | ','(comb(the, -(book, s), X28), verb(X208, X4, X28)), SCOPE: 12, CLAUSE: 5\n\nX4 is free\nX28 is free\nX208 is free", fontsize=16, style=filled, fillcolor=lightyellow];
65 [label="65: ','(comb(the, -(book, s), X28), verb(X208, X4, X28)), SCOPE: 12, CLAUSE: 5\n\nX4 is free\nX28 is free\nX208 is free", fontsize=16, style=filled, fillcolor=lightyellow];
66 [label="66: verb(X208, X4, s(s, book, X222))\n\nX4 is free\nX208 is free\nX222 is free", fontsize=16, style=filled, fillcolor=lightyellow];
67 [label="67: verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 12 | verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 13 | verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 14 | verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 15\n\nX4 is free\nX208 is free\nX222 is free", fontsize=16, style=filled, fillcolor=lightyellow];
68 [label="68: verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 12\n\nX4 is free\nX208 is free\nX222 is free", fontsize=16, style=filled, fillcolor=lightyellow];
69 [label="69: verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 13 | verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 14 | verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 15\n\nX4 is free\nX208 is free\nX222 is free", fontsize=16, style=filled, fillcolor=lightyellow];
70 [label="70: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
71 [label="71: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
72 [label="72: verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 14 | verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 15\n\nX4 is free\nX208 is free\nX222 is free", fontsize=16, style=filled, fillcolor=lightyellow];
73 [label="73: verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 14\n\nX4 is free\nX208 is free\nX222 is free", fontsize=16, style=filled, fillcolor=lightyellow];
74 [label="74: verb(X208, X4, s(s, book, X222)), SCOPE: 13, CLAUSE: 15\n\nX4 is free\nX208 is free\nX222 is free", fontsize=16, style=filled, fillcolor=lightyellow];
75 [label="75: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
76 [label="76: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
77 [label="77: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
78 [label="78: ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 9\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX198 is free", fontsize=16, style=filled, fillcolor=lightyellow];
79 [label="79: ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 10 | ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 11\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX198 is free", fontsize=16, style=filled, fillcolor=lightyellow];
80 [label="80: ','(comb(the, -(book, p), X28), verb(X268, X4, X28))\n\nX4 is free\nX28 is free\nX268 is free", fontsize=16, style=filled, fillcolor=lightyellow];
81 [label="81: ','(comb(the, -(book, p), X28), verb(X268, X4, X28)), SCOPE: 14, CLAUSE: 4 | ','(comb(the, -(book, p), X28), verb(X268, X4, X28)), SCOPE: 14, CLAUSE: 5\n\nX4 is free\nX28 is free\nX268 is free", fontsize=16, style=filled, fillcolor=lightyellow];
82 [label="82: ','(comb(the, -(book, p), X28), verb(X268, X4, X28)), SCOPE: 14, CLAUSE: 5\n\nX4 is free\nX28 is free\nX268 is free", fontsize=16, style=filled, fillcolor=lightyellow];
83 [label="83: verb(X268, X4, s(p, book, X282))\n\nX4 is free\nX268 is free\nX282 is free", fontsize=16, style=filled, fillcolor=lightyellow];
84 [label="84: verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 12 | verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 13 | verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 14 | verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 15\n\nX4 is free\nX268 is free\nX282 is free", fontsize=16, style=filled, fillcolor=lightyellow];
85 [label="85: verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 13 | verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 14 | verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 15\n\nX4 is free\nX268 is free\nX282 is free", fontsize=16, style=filled, fillcolor=lightyellow];
86 [label="86: verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 13\n\nX4 is free\nX268 is free\nX282 is free", fontsize=16, style=filled, fillcolor=lightyellow];
87 [label="87: verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 14 | verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 15\n\nX4 is free\nX268 is free\nX282 is free", fontsize=16, style=filled, fillcolor=lightyellow];
88 [label="88: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
89 [label="89: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
90 [label="90: verb(X268, X4, s(p, book, X282)), SCOPE: 15, CLAUSE: 15\n\nX4 is free\nX268 is free\nX282 is free", fontsize=16, style=filled, fillcolor=lightyellow];
91 [label="91: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
92 [label="92: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
93 [label="93: ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 10\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX198 is free", fontsize=16, style=filled, fillcolor=lightyellow];
94 [label="94: ','(','(noun(X198, X27, X25), comb(the, X25, X28)), verb(X27, X4, X28)), SCOPE: 11, CLAUSE: 11\n\nX4 is free\nX27 is free\nX28 is free\nX25 is free\nX198 is free", fontsize=16, style=filled, fillcolor=lightyellow];
95 [label="95: ','(comb(the, -(box, s), X28), verb(X322, X4, X28))\n\nX4 is free\nX28 is free\nX322 is free", fontsize=16, style=filled, fillcolor=lightyellow];
96 [label="96: ','(comb(the, -(box, s), X28), verb(X322, X4, X28)), SCOPE: 16, CLAUSE: 4 | ','(comb(the, -(box, s), X28), verb(X322, X4, X28)), SCOPE: 16, CLAUSE: 5\n\nX4 is free\nX28 is free\nX322 is free", fontsize=16, style=filled, fillcolor=lightyellow];
97 [label="97: ','(comb(the, -(box, s), X28), verb(X322, X4, X28)), SCOPE: 16, CLAUSE: 5\n\nX4 is free\nX28 is free\nX322 is free", fontsize=16, style=filled, fillcolor=lightyellow];
98 [label="98: verb(X322, X4, s(s, box, X336))\n\nX4 is free\nX322 is free\nX336 is free", fontsize=16, style=filled, fillcolor=lightyellow];
99 [label="99: verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 12 | verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 13 | verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 14 | verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 15\n\nX4 is free\nX322 is free\nX336 is free", fontsize=16, style=filled, fillcolor=lightyellow];
100 [label="100: verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 12\n\nX4 is free\nX322 is free\nX336 is free", fontsize=16, style=filled, fillcolor=lightyellow];
101 [label="101: verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 13 | verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 14 | verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 15\n\nX4 is free\nX322 is free\nX336 is free", fontsize=16, style=filled, fillcolor=lightyellow];
102 [label="102: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
103 [label="103: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
104 [label="104: verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 14 | verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 15\n\nX4 is free\nX322 is free\nX336 is free", fontsize=16, style=filled, fillcolor=lightyellow];
105 [label="105: verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 14\n\nX4 is free\nX322 is free\nX336 is free", fontsize=16, style=filled, fillcolor=lightyellow];
106 [label="106: verb(X322, X4, s(s, box, X336)), SCOPE: 17, CLAUSE: 15\n\nX4 is free\nX322 is free\nX336 is free", fontsize=16, style=filled, fillcolor=lightyellow];
107 [label="107: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
108 [label="108: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
109 [label="109: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
110 [label="110: ','(comb(the, -(box, p), X28), verb(X378, X4, X28))\n\nX4 is free\nX28 is free\nX378 is free", fontsize=16, style=filled, fillcolor=lightyellow];
111 [label="111: ','(comb(the, -(box, p), X28), verb(X378, X4, X28)), SCOPE: 18, CLAUSE: 4 | ','(comb(the, -(box, p), X28), verb(X378, X4, X28)), SCOPE: 18, CLAUSE: 5\n\nX4 is free\nX28 is free\nX378 is free", fontsize=16, style=filled, fillcolor=lightyellow];
112 [label="112: ','(comb(the, -(box, p), X28), verb(X378, X4, X28)), SCOPE: 18, CLAUSE: 5\n\nX4 is free\nX28 is free\nX378 is free", fontsize=16, style=filled, fillcolor=lightyellow];
113 [label="113: verb(X378, X4, s(p, box, X392))\n\nX4 is free\nX378 is free\nX392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
114 [label="114: verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 12 | verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 13 | verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 14 | verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 15\n\nX4 is free\nX378 is free\nX392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
115 [label="115: verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 13 | verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 14 | verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 15\n\nX4 is free\nX378 is free\nX392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
116 [label="116: verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 13\n\nX4 is free\nX378 is free\nX392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
117 [label="117: verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 14 | verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 15\n\nX4 is free\nX378 is free\nX392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
118 [label="118: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
119 [label="119: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
120 [label="120: verb(X378, X4, s(p, box, X392)), SCOPE: 19, CLAUSE: 15\n\nX4 is free\nX378 is free\nX392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
121 [label="121: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
122 [label="122: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
123 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1 -> 123 [arrowhead = none ];
123 -> 2;

124 [label="ONLY EVAL with clause\ngoal :- ','(np(X1, X2, X3), verb(X2, X4, X3)).\nand substitution", fontsize=14, style = filled, fillcolor = lightblue];
2 -> 124 [arrowhead = none ];
124 -> 3;

125 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3 -> 125 [arrowhead = none ];
125 -> 4;

126 [label="ONLY EVAL with clause\nnp(X20, X21, X22) :- ','(det(X20, X23, X24), ','(noun(X23, X21, X25), comb(X24, X25, X22))).\nand substitutionX1 -> X26,\nX20 -> X26,\nX2 -> X27,\nX21 -> X27,\nX3 -> X28,\nX22 -> X28", fontsize=14, style = filled, fillcolor = lightblue];
4 -> 126 [arrowhead = none ];
126 -> 5;

127 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
5 -> 127 [arrowhead = none ];
127 -> 6;

128 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
6 -> 128 [arrowhead = none ];
128 -> 7;

129 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
6 -> 129 [arrowhead = none ];
129 -> 8;

130 [label="ONLY EVAL with clause\ndet(.(a, X37), X37, a).\nand substitutionX37 -> X38,\nX26 -> .(a, X38),\nX23 -> X38,\nX24 -> a", fontsize=14, style = filled, fillcolor = lightblue];
7 -> 130 [arrowhead = none ];
130 -> 9;

131 [label="ONLY EVAL with clause\ndet(.(the, X197), X197, the).\nand substitutionX197 -> X198,\nX26 -> .(the, X198),\nX23 -> X198,\nX24 -> the", fontsize=14, style = filled, fillcolor = lightblue];
8 -> 131 [arrowhead = none ];
131 -> 59;

132 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
9 -> 132 [arrowhead = none ];
132 -> 10;

133 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
10 -> 133 [arrowhead = none ];
133 -> 11;

134 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
10 -> 134 [arrowhead = none ];
134 -> 12;

135 [label="ONLY EVAL with clause\nnoun(.(book, X47), X47, -(book, s)).\nand substitutionX47 -> X48,\nX38 -> .(book, X48),\nX27 -> X48,\nX25 -> -(book, s)", fontsize=14, style = filled, fillcolor = lightblue];
11 -> 135 [arrowhead = none ];
135 -> 13;

136 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
12 -> 136 [arrowhead = none ];
136 -> 30;

137 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
12 -> 137 [arrowhead = none ];
137 -> 31;

138 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
13 -> 138 [arrowhead = none ];
138 -> 14;

139 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
14 -> 139 [arrowhead = none ];
139 -> 15;

140 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
14 -> 140 [arrowhead = none ];
140 -> 16;

141 [label="ONLY EVAL with clause\ncomb(a, -(X61, s), s(s, X61, X62)).\nand substitutionX61 -> book,\nX62 -> X63,\nX28 -> s(s, book, X63)", fontsize=14, style = filled, fillcolor = lightblue];
15 -> 141 [arrowhead = none ];
141 -> 17;

142 [label="BACKTRACK\nfor clause: comb(the, -(N, P), s(P, N, V))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
16 -> 142 [arrowhead = none ];
142 -> 29;

143 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
17 -> 143 [arrowhead = none ];
143 -> 18;

144 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
18 -> 144 [arrowhead = none ];
144 -> 19;

145 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
18 -> 145 [arrowhead = none ];
145 -> 20;

146 [label="ONLY EVAL with clause\nverb(.(falls, X76), X76, s(s, X77, fall)).\nand substitutionX76 -> X78,\nX48 -> .(falls, X78),\nX4 -> X78,\nX77 -> book,\nX63 -> fall", fontsize=14, style = filled, fillcolor = lightblue];
19 -> 146 [arrowhead = none ];
146 -> 21;

147 [label="BACKTRACK\nfor clause: verb(.(fall, So), So, s(p, N, fall))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
20 -> 147 [arrowhead = none ];
147 -> 23;

148 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
21 -> 148 [arrowhead = none ];
148 -> 22;

149 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
23 -> 149 [arrowhead = none ];
149 -> 24;

150 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
23 -> 150 [arrowhead = none ];
150 -> 25;

151 [label="ONLY EVAL with clause\nverb(.(flies, X94), X94, s(s, X95, fly)).\nand substitutionX94 -> X96,\nX48 -> .(flies, X96),\nX4 -> X96,\nX95 -> book,\nX63 -> fly", fontsize=14, style = filled, fillcolor = lightblue];
24 -> 151 [arrowhead = none ];
151 -> 26;

152 [label="BACKTRACK\nfor clause: verb(.(fly, So), So, s(p, N, fly))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
25 -> 152 [arrowhead = none ];
152 -> 28;

153 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
26 -> 153 [arrowhead = none ];
153 -> 27;

154 [label="ONLY EVAL with clause\nnoun(.(books, X111), X111, -(book, p)).\nand substitutionX111 -> X112,\nX38 -> .(books, X112),\nX27 -> X112,\nX25 -> -(book, p)", fontsize=14, style = filled, fillcolor = lightblue];
30 -> 154 [arrowhead = none ];
154 -> 32;

155 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
31 -> 155 [arrowhead = none ];
155 -> 36;

156 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
31 -> 156 [arrowhead = none ];
156 -> 37;

157 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
32 -> 157 [arrowhead = none ];
157 -> 33;

158 [label="BACKTRACK\nfor clause: comb(a, -(N, s), s(s, N, V))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
33 -> 158 [arrowhead = none ];
158 -> 34;

159 [label="BACKTRACK\nfor clause: comb(the, -(N, P), s(P, N, V))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
34 -> 159 [arrowhead = none ];
159 -> 35;

160 [label="ONLY EVAL with clause\nnoun(.(box, X126), X126, -(box, s)).\nand substitutionX126 -> X127,\nX38 -> .(box, X127),\nX27 -> X127,\nX25 -> -(box, s)", fontsize=14, style = filled, fillcolor = lightblue];
36 -> 160 [arrowhead = none ];
160 -> 38;

161 [label="ONLY EVAL with clause\nnoun(.(boxes, X186), X186, -(box, p)).\nand substitutionX186 -> X187,\nX38 -> .(boxes, X187),\nX27 -> X187,\nX25 -> -(box, p)", fontsize=14, style = filled, fillcolor = lightblue];
37 -> 161 [arrowhead = none ];
161 -> 55;

162 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
38 -> 162 [arrowhead = none ];
162 -> 39;

163 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
39 -> 163 [arrowhead = none ];
163 -> 40;

164 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
39 -> 164 [arrowhead = none ];
164 -> 41;

165 [label="ONLY EVAL with clause\ncomb(a, -(X140, s), s(s, X140, X141)).\nand substitutionX140 -> box,\nX141 -> X142,\nX28 -> s(s, box, X142)", fontsize=14, style = filled, fillcolor = lightblue];
40 -> 165 [arrowhead = none ];
165 -> 42;

166 [label="BACKTRACK\nfor clause: comb(the, -(N, P), s(P, N, V))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
41 -> 166 [arrowhead = none ];
166 -> 54;

167 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
42 -> 167 [arrowhead = none ];
167 -> 43;

168 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
43 -> 168 [arrowhead = none ];
168 -> 44;

169 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
43 -> 169 [arrowhead = none ];
169 -> 45;

170 [label="ONLY EVAL with clause\nverb(.(falls, X155), X155, s(s, X156, fall)).\nand substitutionX155 -> X157,\nX127 -> .(falls, X157),\nX4 -> X157,\nX156 -> box,\nX142 -> fall", fontsize=14, style = filled, fillcolor = lightblue];
44 -> 170 [arrowhead = none ];
170 -> 46;

171 [label="BACKTRACK\nfor clause: verb(.(fall, So), So, s(p, N, fall))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
45 -> 171 [arrowhead = none ];
171 -> 48;

172 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
46 -> 172 [arrowhead = none ];
172 -> 47;

173 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
48 -> 173 [arrowhead = none ];
173 -> 49;

174 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
48 -> 174 [arrowhead = none ];
174 -> 50;

175 [label="ONLY EVAL with clause\nverb(.(flies, X173), X173, s(s, X174, fly)).\nand substitutionX173 -> X175,\nX127 -> .(flies, X175),\nX4 -> X175,\nX174 -> box,\nX142 -> fly", fontsize=14, style = filled, fillcolor = lightblue];
49 -> 175 [arrowhead = none ];
175 -> 51;

176 [label="BACKTRACK\nfor clause: verb(.(fly, So), So, s(p, N, fly))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
50 -> 176 [arrowhead = none ];
176 -> 53;

177 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
51 -> 177 [arrowhead = none ];
177 -> 52;

178 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
55 -> 178 [arrowhead = none ];
178 -> 56;

179 [label="BACKTRACK\nfor clause: comb(a, -(N, s), s(s, N, V))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
56 -> 179 [arrowhead = none ];
179 -> 57;

180 [label="BACKTRACK\nfor clause: comb(the, -(N, P), s(P, N, V))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
57 -> 180 [arrowhead = none ];
180 -> 58;

181 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
59 -> 181 [arrowhead = none ];
181 -> 60;

182 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
60 -> 182 [arrowhead = none ];
182 -> 61;

183 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
60 -> 183 [arrowhead = none ];
183 -> 62;

184 [label="ONLY EVAL with clause\nnoun(.(book, X207), X207, -(book, s)).\nand substitutionX207 -> X208,\nX198 -> .(book, X208),\nX27 -> X208,\nX25 -> -(book, s)", fontsize=14, style = filled, fillcolor = lightblue];
61 -> 184 [arrowhead = none ];
184 -> 63;

185 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
62 -> 185 [arrowhead = none ];
185 -> 78;

186 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
62 -> 186 [arrowhead = none ];
186 -> 79;

187 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
63 -> 187 [arrowhead = none ];
187 -> 64;

188 [label="BACKTRACK\nfor clause: comb(a, -(N, s), s(s, N, V))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
64 -> 188 [arrowhead = none ];
188 -> 65;

189 [label="ONLY EVAL with clause\ncomb(the, -(X219, X220), s(X220, X219, X221)).\nand substitutionX219 -> book,\nX220 -> s,\nX221 -> X222,\nX28 -> s(s, book, X222)", fontsize=14, style = filled, fillcolor = lightblue];
65 -> 189 [arrowhead = none ];
189 -> 66;

190 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
66 -> 190 [arrowhead = none ];
190 -> 67;

191 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
67 -> 191 [arrowhead = none ];
191 -> 68;

192 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
67 -> 192 [arrowhead = none ];
192 -> 69;

193 [label="ONLY EVAL with clause\nverb(.(falls, X235), X235, s(s, X236, fall)).\nand substitutionX235 -> X237,\nX208 -> .(falls, X237),\nX4 -> X237,\nX236 -> book,\nX222 -> fall", fontsize=14, style = filled, fillcolor = lightblue];
68 -> 193 [arrowhead = none ];
193 -> 70;

194 [label="BACKTRACK\nfor clause: verb(.(fall, So), So, s(p, N, fall))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
69 -> 194 [arrowhead = none ];
194 -> 72;

195 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
70 -> 195 [arrowhead = none ];
195 -> 71;

196 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
72 -> 196 [arrowhead = none ];
196 -> 73;

197 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
72 -> 197 [arrowhead = none ];
197 -> 74;

198 [label="ONLY EVAL with clause\nverb(.(flies, X253), X253, s(s, X254, fly)).\nand substitutionX253 -> X255,\nX208 -> .(flies, X255),\nX4 -> X255,\nX254 -> book,\nX222 -> fly", fontsize=14, style = filled, fillcolor = lightblue];
73 -> 198 [arrowhead = none ];
198 -> 75;

199 [label="BACKTRACK\nfor clause: verb(.(fly, So), So, s(p, N, fly))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
74 -> 199 [arrowhead = none ];
199 -> 77;

200 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
75 -> 200 [arrowhead = none ];
200 -> 76;

201 [label="ONLY EVAL with clause\nnoun(.(books, X267), X267, -(book, p)).\nand substitutionX267 -> X268,\nX198 -> .(books, X268),\nX27 -> X268,\nX25 -> -(book, p)", fontsize=14, style = filled, fillcolor = lightblue];
78 -> 201 [arrowhead = none ];
201 -> 80;

202 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
79 -> 202 [arrowhead = none ];
202 -> 93;

203 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
79 -> 203 [arrowhead = none ];
203 -> 94;

204 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
80 -> 204 [arrowhead = none ];
204 -> 81;

205 [label="BACKTRACK\nfor clause: comb(a, -(N, s), s(s, N, V))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
81 -> 205 [arrowhead = none ];
205 -> 82;

206 [label="ONLY EVAL with clause\ncomb(the, -(X279, X280), s(X280, X279, X281)).\nand substitutionX279 -> book,\nX280 -> p,\nX281 -> X282,\nX28 -> s(p, book, X282)", fontsize=14, style = filled, fillcolor = lightblue];
82 -> 206 [arrowhead = none ];
206 -> 83;

207 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
83 -> 207 [arrowhead = none ];
207 -> 84;

208 [label="BACKTRACK\nfor clause: verb(.(falls, So), So, s(s, N, fall))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
84 -> 208 [arrowhead = none ];
208 -> 85;

209 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
85 -> 209 [arrowhead = none ];
209 -> 86;

210 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
85 -> 210 [arrowhead = none ];
210 -> 87;

211 [label="ONLY EVAL with clause\nverb(.(fall, X298), X298, s(p, X299, fall)).\nand substitutionX298 -> X300,\nX268 -> .(fall, X300),\nX4 -> X300,\nX299 -> book,\nX282 -> fall", fontsize=14, style = filled, fillcolor = lightblue];
86 -> 211 [arrowhead = none ];
211 -> 88;

212 [label="BACKTRACK\nfor clause: verb(.(flies, So), So, s(s, N, fly))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
87 -> 212 [arrowhead = none ];
212 -> 90;

213 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
88 -> 213 [arrowhead = none ];
213 -> 89;

214 [label="ONLY EVAL with clause\nverb(.(fly, X310), X310, s(p, X311, fly)).\nand substitutionX310 -> X312,\nX268 -> .(fly, X312),\nX4 -> X312,\nX311 -> book,\nX282 -> fly", fontsize=14, style = filled, fillcolor = lightblue];
90 -> 214 [arrowhead = none ];
214 -> 91;

215 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
91 -> 215 [arrowhead = none ];
215 -> 92;

216 [label="ONLY EVAL with clause\nnoun(.(box, X321), X321, -(box, s)).\nand substitutionX321 -> X322,\nX198 -> .(box, X322),\nX27 -> X322,\nX25 -> -(box, s)", fontsize=14, style = filled, fillcolor = lightblue];
93 -> 216 [arrowhead = none ];
216 -> 95;

217 [label="ONLY EVAL with clause\nnoun(.(boxes, X377), X377, -(box, p)).\nand substitutionX377 -> X378,\nX198 -> .(boxes, X378),\nX27 -> X378,\nX25 -> -(box, p)", fontsize=14, style = filled, fillcolor = lightblue];
94 -> 217 [arrowhead = none ];
217 -> 110;

218 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
95 -> 218 [arrowhead = none ];
218 -> 96;

219 [label="BACKTRACK\nfor clause: comb(a, -(N, s), s(s, N, V))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
96 -> 219 [arrowhead = none ];
219 -> 97;

220 [label="ONLY EVAL with clause\ncomb(the, -(X333, X334), s(X334, X333, X335)).\nand substitutionX333 -> box,\nX334 -> s,\nX335 -> X336,\nX28 -> s(s, box, X336)", fontsize=14, style = filled, fillcolor = lightblue];
97 -> 220 [arrowhead = none ];
220 -> 98;

221 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
98 -> 221 [arrowhead = none ];
221 -> 99;

222 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
99 -> 222 [arrowhead = none ];
222 -> 100;

223 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
99 -> 223 [arrowhead = none ];
223 -> 101;

224 [label="ONLY EVAL with clause\nverb(.(falls, X349), X349, s(s, X350, fall)).\nand substitutionX349 -> X351,\nX322 -> .(falls, X351),\nX4 -> X351,\nX350 -> box,\nX336 -> fall", fontsize=14, style = filled, fillcolor = lightblue];
100 -> 224 [arrowhead = none ];
224 -> 102;

225 [label="BACKTRACK\nfor clause: verb(.(fall, So), So, s(p, N, fall))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
101 -> 225 [arrowhead = none ];
225 -> 104;

226 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
102 -> 226 [arrowhead = none ];
226 -> 103;

227 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
104 -> 227 [arrowhead = none ];
227 -> 105;

228 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
104 -> 228 [arrowhead = none ];
228 -> 106;

229 [label="ONLY EVAL with clause\nverb(.(flies, X367), X367, s(s, X368, fly)).\nand substitutionX367 -> X369,\nX322 -> .(flies, X369),\nX4 -> X369,\nX368 -> box,\nX336 -> fly", fontsize=14, style = filled, fillcolor = lightblue];
105 -> 229 [arrowhead = none ];
229 -> 107;

230 [label="BACKTRACK\nfor clause: verb(.(fly, So), So, s(p, N, fly))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
106 -> 230 [arrowhead = none ];
230 -> 109;

231 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
107 -> 231 [arrowhead = none ];
231 -> 108;

232 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
110 -> 232 [arrowhead = none ];
232 -> 111;

233 [label="BACKTRACK\nfor clause: comb(a, -(N, s), s(s, N, V))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
111 -> 233 [arrowhead = none ];
233 -> 112;

234 [label="ONLY EVAL with clause\ncomb(the, -(X389, X390), s(X390, X389, X391)).\nand substitutionX389 -> box,\nX390 -> p,\nX391 -> X392,\nX28 -> s(p, box, X392)", fontsize=14, style = filled, fillcolor = lightblue];
112 -> 234 [arrowhead = none ];
234 -> 113;

235 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
113 -> 235 [arrowhead = none ];
235 -> 114;

236 [label="BACKTRACK\nfor clause: verb(.(falls, So), So, s(s, N, fall))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
114 -> 236 [arrowhead = none ];
236 -> 115;

237 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
115 -> 237 [arrowhead = none ];
237 -> 116;

238 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
115 -> 238 [arrowhead = none ];
238 -> 117;

239 [label="ONLY EVAL with clause\nverb(.(fall, X408), X408, s(p, X409, fall)).\nand substitutionX408 -> X410,\nX378 -> .(fall, X410),\nX4 -> X410,\nX409 -> box,\nX392 -> fall", fontsize=14, style = filled, fillcolor = lightblue];
116 -> 239 [arrowhead = none ];
239 -> 118;

240 [label="BACKTRACK\nfor clause: verb(.(flies, So), So, s(s, N, fly))because of non-unification", fontsize=14, style = filled, fillcolor = lightgreen];
117 -> 240 [arrowhead = none ];
240 -> 120;

241 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
118 -> 241 [arrowhead = none ];
241 -> 119;

242 [label="ONLY EVAL with clause\nverb(.(fly, X420), X420, s(p, X421, fly)).\nand substitutionX420 -> X422,\nX378 -> .(fly, X422),\nX4 -> X422,\nX421 -> box,\nX392 -> fly", fontsize=14, style = filled, fillcolor = lightblue];
120 -> 242 [arrowhead = none ];
242 -> 121;

243 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
121 -> 243 [arrowhead = none ];
243 -> 122;

}

(2) Obligation:

Triples:


Clauses:


Afs:

(3) TPisEmptyProof (EQUIVALENT transformation)

There are no more dependency triples. Hence, the dependency triple problem trivially terminates.

(4) YES