TSTP Solution File: COL002-5 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL002-5 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 00:33:52 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL002-5 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue May 31 15:17:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % SZS status Unsatisfiable
% 0.13/0.36 % SZS output begin IncompleteProof
% 0.13/0.36 cnf(c0, axiom,
% 0.13/0.36 apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt)))))).
% 0.13/0.36 cnf(c1, plain,
% 0.13/0.36 apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt))))),
% 0.13/0.36 inference(start, [], [c0])).
% 0.13/0.36
% 0.13/0.36 cnf(c2, axiom,
% 0.13/0.36 apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))).
% 0.13/0.36 cnf(a0, assumption,
% 0.13/0.36 apply(fixed_pt,apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt))))) = apply(X0,apply(X1,X2))).
% 0.13/0.36 cnf(c3, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36 cnf(c4, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36 cnf(c5, plain,
% 0.13/0.36 X3 != apply(apply(apply(b,X0),X1),X2) | apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt)))) != X3,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36
% 0.13/0.36 cnf(c6, axiom,
% 0.13/0.36 apply(apply(apply(c,X4),X5),X6) = apply(apply(X4,X6),X5)).
% 0.13/0.36 cnf(a1, assumption,
% 0.13/0.36 apply(apply(apply(b,X0),X1),X2) = apply(apply(X4,X6),X5)).
% 0.13/0.36 cnf(c7, plain,
% 0.13/0.36 apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt)))) != X3,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.13/0.36 cnf(c8, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.13/0.36 cnf(c9, plain,
% 0.13/0.36 X7 != apply(apply(apply(c,X4),X5),X6) | X3 != X7,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.13/0.36
% 0.13/0.36 cnf(a2, assumption,
% 0.13/0.36 X7 = apply(apply(apply(c,X4),X5),X6)).
% 0.13/0.36 cnf(c10, plain,
% 0.13/0.36 X3 != X7,
% 0.13/0.36 inference(reflexivity, [assumptions([a2])], [c9])).
% 0.13/0.36
% 0.13/0.36 cnf(a3, assumption,
% 0.13/0.36 X3 = X7).
% 0.13/0.36 cnf(c11, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a3])], [c10])).
% 0.13/0.36
% 0.13/0.36 cnf(c12, axiom,
% 0.13/0.36 apply(apply(apply(s,X8),X9),X10) = apply(apply(X8,X10),apply(X9,X10))).
% 0.13/0.36 cnf(a4, assumption,
% 0.13/0.36 apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt)))) = apply(apply(apply(s,X8),X9),X10)).
% 0.13/0.36 cnf(c13, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a4])], [c7, c12])).
% 0.13/0.36 cnf(c14, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a4])], [c7, c12])).
% 0.13/0.36 cnf(c15, plain,
% 0.13/0.36 X11 != apply(apply(X8,X10),apply(X9,X10)) | X11 != X3,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a4])], [c7, c12])).
% 0.13/0.36
% 0.13/0.36 cnf(a5, assumption,
% 0.13/0.36 X11 = apply(apply(X8,X10),apply(X9,X10))).
% 0.13/0.36 cnf(c16, plain,
% 0.13/0.36 X11 != X3,
% 0.13/0.36 inference(reflexivity, [assumptions([a5])], [c15])).
% 0.13/0.36
% 0.13/0.36 cnf(a6, assumption,
% 0.13/0.36 X11 = X3).
% 0.13/0.36 cnf(c17, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a6])], [c16])).
% 0.13/0.36
% 0.13/0.36 cnf(c18, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(constraint_solving, [
% 0.13/0.36 bind(X0, fixed_pt),
% 0.13/0.36 bind(X1, apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt))))),
% 0.13/0.36 bind(X2, apply(s,apply(c,apply(b,fixed_pt)))),
% 0.13/0.36 bind(X3, apply(apply(apply(c,X4),X5),X6)),
% 0.13/0.36 bind(X4, apply(b,X0)),
% 0.13/0.36 bind(X5, apply(s,apply(c,apply(b,fixed_pt)))),
% 0.13/0.36 bind(X6, apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt))))),
% 0.13/0.36 bind(X7, apply(apply(apply(c,X4),X5),X6)),
% 0.13/0.36 bind(X8, apply(c,apply(b,fixed_pt))),
% 0.13/0.36 bind(X9, apply(s,apply(c,apply(b,fixed_pt)))),
% 0.13/0.36 bind(X10, apply(s,apply(c,apply(b,fixed_pt)))),
% 0.13/0.36 bind(X11, apply(apply(X8,X10),apply(X9,X10)))
% 0.13/0.36 ],
% 0.13/0.36 [a0, a1, a2, a3, a4, a5, a6])).
% 0.13/0.36
% 0.13/0.36 % SZS output end IncompleteProof
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