TSTP Solution File: COL041-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL041-1 : 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 : n025.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 00:33:57 EDT 2022
% Result : Unsatisfiable 0.21s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n025.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 08:31:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.43 % SZS status Unsatisfiable
% 0.21/0.43 % SZS output begin IncompleteProof
% 0.21/0.43 cnf(c0, axiom,
% 0.21/0.43 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0)))).
% 0.21/0.43 cnf(c1, plain,
% 0.21/0.43 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
% 0.21/0.43 inference(start, [], [c0])).
% 0.21/0.43
% 0.21/0.43 cnf(c2, axiom,
% 0.21/0.43 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))).
% 0.21/0.43 cnf(a0, assumption,
% 0.21/0.43 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)).
% 0.21/0.43 cnf(c3, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.21/0.43 cnf(c4, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.21/0.43 cnf(c5, plain,
% 0.21/0.43 X4 != apply(X1,apply(X2,X3)) | apply(X0,f(X0)) != apply(f(X0),X4),
% 0.21/0.43 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.21/0.43
% 0.21/0.43 cnf(a1, assumption,
% 0.21/0.43 X4 = apply(X1,apply(X2,X3))).
% 0.21/0.43 cnf(c6, plain,
% 0.21/0.43 apply(X0,f(X0)) != apply(f(X0),X4),
% 0.21/0.43 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.21/0.43
% 0.21/0.43 cnf(c7, axiom,
% 0.21/0.43 apply(apply(apply(b,X5),X6),X7) = apply(X5,apply(X6,X7))).
% 0.21/0.43 cnf(a2, assumption,
% 0.21/0.43 apply(f(X0),X4) = apply(X5,apply(X6,X7))).
% 0.21/0.43 cnf(c8, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 0.21/0.43 cnf(c9, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 0.21/0.43 cnf(c10, plain,
% 0.21/0.43 X8 != apply(apply(apply(b,X5),X6),X7) | apply(X0,f(X0)) != X8,
% 0.21/0.43 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 0.21/0.43
% 0.21/0.43 cnf(c11, axiom,
% 0.21/0.43 apply(apply(apply(c,X9),X10),X11) = apply(apply(X9,X11),X10)).
% 0.21/0.43 cnf(a3, assumption,
% 0.21/0.43 apply(apply(b,X5),X6) = apply(apply(X9,X11),X10)).
% 0.21/0.43 cnf(c12, plain,
% 0.21/0.43 apply(X0,f(X0)) != X8,
% 0.21/0.43 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.21/0.43 cnf(c13, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.21/0.43 cnf(c14, plain,
% 0.21/0.43 X12 != apply(apply(apply(c,X9),X10),X11) | X8 != apply(X12,X7),
% 0.21/0.43 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.21/0.43
% 0.21/0.43 cnf(a4, assumption,
% 0.21/0.43 X12 = apply(apply(apply(c,X9),X10),X11)).
% 0.21/0.43 cnf(c15, plain,
% 0.21/0.43 X8 != apply(X12,X7),
% 0.21/0.43 inference(reflexivity, [assumptions([a4])], [c14])).
% 0.21/0.43
% 0.21/0.43 cnf(c16, axiom,
% 0.21/0.43 apply(m,X13) = apply(X13,X13)).
% 0.21/0.43 cnf(a5, assumption,
% 0.21/0.43 apply(X12,X7) = apply(X13,X13)).
% 0.21/0.43 cnf(c17, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 0.21/0.43 cnf(c18, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 0.21/0.43 cnf(c19, plain,
% 0.21/0.43 X14 != apply(m,X13) | X8 != X14,
% 0.21/0.43 inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 0.21/0.43
% 0.21/0.43 cnf(a6, assumption,
% 0.21/0.43 X14 = apply(m,X13)).
% 0.21/0.43 cnf(c20, plain,
% 0.21/0.43 X8 != X14,
% 0.21/0.43 inference(reflexivity, [assumptions([a6])], [c19])).
% 0.21/0.43
% 0.21/0.43 cnf(a7, assumption,
% 0.21/0.43 X8 = X14).
% 0.21/0.43 cnf(c21, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(reflexivity, [assumptions([a7])], [c20])).
% 0.21/0.43
% 0.21/0.43 cnf(c22, plain,
% 0.21/0.43 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))).
% 0.21/0.43 cnf(a8, assumption,
% 0.21/0.43 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)).
% 0.21/0.43 cnf(a9, assumption,
% 0.21/0.43 apply(X1,apply(X2,X3)) = X15).
% 0.21/0.43 cnf(c23, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(equality_reduction, [assumptions([a8, a9])], [c12, c22])).
% 0.21/0.43 cnf(c24, plain,
% 0.21/0.43 X15 != X8,
% 0.21/0.43 inference(equality_reduction, [assumptions([a8, a9])], [c12, c22])).
% 0.21/0.43
% 0.21/0.43 cnf(a10, assumption,
% 0.21/0.43 X15 = X8).
% 0.21/0.43 cnf(c25, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(reflexivity, [assumptions([a10])], [c24])).
% 0.21/0.43
% 0.21/0.43 cnf(c26, plain,
% 0.21/0.43 $false,
% 0.21/0.43 inference(constraint_solving, [
% 0.21/0.43 bind(X0, apply(apply(b,X1),X2)),
% 0.21/0.43 bind(X1, m),
% 0.21/0.43 bind(X2, apply(apply(c,X9),X10)),
% 0.21/0.43 bind(X3, f(X0)),
% 0.21/0.43 bind(X4, apply(X1,apply(X2,X3))),
% 0.21/0.43 bind(X5, f(X0)),
% 0.21/0.43 bind(X6, m),
% 0.21/0.43 bind(X7, apply(X2,X3)),
% 0.21/0.43 bind(X8, apply(m,X13)),
% 0.21/0.43 bind(X9, b),
% 0.21/0.43 bind(X10, m),
% 0.21/0.43 bind(X11, f(X0)),
% 0.21/0.43 bind(X12, apply(apply(apply(c,X9),X10),X11)),
% 0.21/0.43 bind(X13, apply(apply(apply(c,X9),X10),X11)),
% 0.21/0.43 bind(X14, apply(m,X13)),
% 0.21/0.43 bind(X15, apply(X1,apply(X2,X3)))
% 0.21/0.43 ],
% 0.21/0.43 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])).
% 0.21/0.43
% 0.21/0.43 % SZS output end IncompleteProof
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