TSTP Solution File: COL002-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n026.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 2.93s 0.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 06:27:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.93/0.76 % SZS status Unsatisfiable
% 2.93/0.76 % SZS output begin IncompleteProof
% 2.93/0.76 cnf(c0, axiom,
% 2.93/0.76 ~fixed_point(apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i)))).
% 2.93/0.76 cnf(c1, plain,
% 2.93/0.76 ~fixed_point(apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))),
% 2.93/0.76 inference(start, [], [c0])).
% 2.93/0.76
% 2.93/0.76 cnf(c2, axiom,
% 2.93/0.76 fixed_point(X1) | apply(fixed_pt,X1) != X1).
% 2.93/0.76 cnf(a0, assumption,
% 2.93/0.76 apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i)) = X1).
% 2.93/0.76 cnf(c3, plain,
% 2.93/0.76 $false,
% 2.93/0.76 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 2.93/0.76 cnf(c4, plain,
% 2.93/0.76 apply(fixed_pt,X1) != X1,
% 2.93/0.76 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 2.93/0.76
% 2.93/0.76 cnf(c5, axiom,
% 2.93/0.76 apply(apply(apply(b,X2),X3),X4) = apply(X2,apply(X3,X4))).
% 2.93/0.76 cnf(a1, assumption,
% 2.93/0.76 apply(fixed_pt,X1) = apply(X2,apply(X3,X4))).
% 2.93/0.76 cnf(c6, plain,
% 2.93/0.76 $false,
% 2.93/0.76 inference(strict_function_extension, [assumptions([a1])], [c4, c5])).
% 2.93/0.76 cnf(c7, plain,
% 2.93/0.76 $false,
% 2.93/0.76 inference(strict_function_extension, [assumptions([a1])], [c4, c5])).
% 2.93/0.76 cnf(c8, plain,
% 2.93/0.76 X5 != apply(apply(apply(b,X2),X3),X4) | X5 != X1,
% 2.93/0.76 inference(strict_function_extension, [assumptions([a1])], [c4, c5])).
% 2.93/0.76
% 2.93/0.76 cnf(c9, axiom,
% 2.93/0.76 apply(apply(apply(s,X6),X7),X8) = apply(apply(X6,X8),apply(X7,X8))).
% 2.93/0.76 cnf(a2, assumption,
% 2.93/0.76 apply(X9,X10) = apply(apply(apply(b,X2),X3),X4)).
% 2.93/0.76 cnf(c10, plain,
% 2.93/0.76 X5 != X1,
% 2.93/0.76 inference(lazy_function_extension, [assumptions([a2])], [c8, c9])).
% 2.93/0.76 cnf(c11, plain,
% 2.93/0.76 $false,
% 2.93/0.76 inference(lazy_function_extension, [assumptions([a2])], [c8, c9])).
% 2.93/0.76 cnf(c12, plain,
% 2.93/0.76 X9 != apply(X6,X8) | X10 != apply(X7,X8) | X11 != apply(apply(apply(s,X6),X7),X8) | X5 != X11,
% 2.93/0.76 inference(lazy_function_extension, [assumptions([a2])], [c8, c9])).
% 2.93/0.76
% 2.93/0.76 cnf(a3, assumption,
% 2.93/0.76 X9 = apply(X6,X8)).
% 2.93/0.76 cnf(c13, plain,
% 2.93/0.76 X10 != apply(X7,X8) | X11 != apply(apply(apply(s,X6),X7),X8) | X5 != X11,
% 2.93/0.76 inference(reflexivity, [assumptions([a3])], [c12])).
% 2.93/0.76
% 2.93/0.76 cnf(c14, axiom,
% 2.93/0.76 apply(i,X12) = X12).
% 2.93/0.76 cnf(a4, assumption,
% 2.93/0.76 apply(X7,X8) = apply(i,X12)).
% 2.93/0.76 cnf(c15, plain,
% 2.93/0.76 X11 != apply(apply(apply(s,X6),X7),X8) | X5 != X11,
% 2.93/0.76 inference(strict_function_extension, [assumptions([a4])], [c13, c14])).
% 2.93/0.76 cnf(c16, plain,
% 2.93/0.76 $false,
% 2.93/0.76 inference(strict_function_extension, [assumptions([a4])], [c13, c14])).
% 2.93/0.76 cnf(c17, plain,
% 2.93/0.76 X13 != X12 | X10 != X13,
% 2.93/0.76 inference(strict_function_extension, [assumptions([a4])], [c13, c14])).
% 2.93/0.76
% 2.93/0.76 cnf(a5, assumption,
% 2.93/0.76 X13 = X12).
% 2.93/0.76 cnf(c18, plain,
% 2.93/0.76 X10 != X13,
% 2.93/0.76 inference(reflexivity, [assumptions([a5])], [c17])).
% 2.93/0.76
% 2.93/0.76 cnf(a6, assumption,
% 2.93/0.76 X10 = X13).
% 2.93/0.76 cnf(c19, plain,
% 2.93/0.76 $false,
% 2.93/0.76 inference(reflexivity, [assumptions([a6])], [c18])).
% 2.93/0.76
% 2.93/0.76 cnf(a7, assumption,
% 2.93/0.76 X11 = apply(apply(apply(s,X6),X7),X8)).
% 2.93/0.76 cnf(c20, plain,
% 2.93/0.76 X5 != X11,
% 2.93/0.76 inference(reflexivity, [assumptions([a7])], [c15])).
% 2.93/0.76
% 2.93/0.76 cnf(a8, assumption,
% 2.93/0.76 X5 = X11).
% 2.93/0.76 cnf(c21, plain,
% 2.93/0.76 $false,
% 2.93/0.76 inference(reflexivity, [assumptions([a8])], [c20])).
% 2.93/0.76
% 2.93/0.76 cnf(a9, assumption,
% 2.93/0.76 X5 = X1).
% 2.93/0.76 cnf(c22, plain,
% 2.93/0.76 $false,
% 2.93/0.76 inference(reflexivity, [assumptions([a9])], [c10])).
% 2.93/0.76
% 2.93/0.76 cnf(c23, plain,
% 2.93/0.76 $false,
% 2.93/0.76 inference(constraint_solving, [
% 2.93/0.76 bind(X0, fixed_pt),
% 2.93/0.76 bind(X1, apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))),
% 2.93/0.76 bind(X2, fixed_pt),
% 2.93/0.76 bind(X3, apply(apply(s,apply(b,X0)),i)),
% 2.93/0.76 bind(X4, apply(apply(s,apply(b,X0)),i)),
% 2.93/0.76 bind(X5, apply(apply(apply(s,X6),X7),X8)),
% 2.93/0.76 bind(X6, apply(b,X2)),
% 2.93/0.76 bind(X7, i),
% 2.93/0.76 bind(X8, apply(apply(s,apply(b,X0)),i)),
% 2.93/0.76 bind(X11, apply(apply(apply(s,X6),X7),X8)),
% 2.93/0.76 bind(X9, apply(apply(b,X2),X3)),
% 2.93/0.76 bind(X10, apply(apply(s,apply(b,X0)),i)),
% 2.93/0.76 bind(X12, apply(apply(s,apply(b,X0)),i)),
% 2.93/0.76 bind(X13, apply(apply(s,apply(b,X0)),i))
% 2.93/0.76 ],
% 2.93/0.76 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9])).
% 2.93/0.76
% 2.93/0.76 % SZS output end IncompleteProof
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