TSTP Solution File: COL046-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : COL046-1 : 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 : n023.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 00:33:59 EDT 2022
% Result : Unsatisfiable 60.22s 7.92s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL046-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n023.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 14:10:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 60.22/7.92 % SZS status Unsatisfiable
% 60.22/7.92 % SZS output begin IncompleteProof
% 60.22/7.92 cnf(c0, axiom,
% 60.22/7.92 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0)))).
% 60.22/7.92 cnf(c1, plain,
% 60.22/7.92 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
% 60.22/7.92 inference(start, [], [c0])).
% 60.22/7.92
% 60.22/7.92 cnf(c2, axiom,
% 60.22/7.92 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))).
% 60.22/7.92 cnf(a0, assumption,
% 60.22/7.92 apply(X4,X5) = apply(f(X0),apply(X0,f(X0)))).
% 60.22/7.92 cnf(c3, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 60.22/7.92 cnf(c4, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 60.22/7.92 cnf(c5, plain,
% 60.22/7.92 X4 != X1 | X5 != apply(X2,X3) | X6 != apply(apply(apply(b,X1),X2),X3) | apply(X0,f(X0)) != X6,
% 60.22/7.92 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 60.22/7.92
% 60.22/7.92 cnf(a1, assumption,
% 60.22/7.92 X4 = X1).
% 60.22/7.92 cnf(c6, plain,
% 60.22/7.92 X5 != apply(X2,X3) | X6 != apply(apply(apply(b,X1),X2),X3) | apply(X0,f(X0)) != X6,
% 60.22/7.92 inference(reflexivity, [assumptions([a1])], [c5])).
% 60.22/7.92
% 60.22/7.92 cnf(c7, axiom,
% 60.22/7.92 apply(apply(apply(s,X7),X8),X9) = apply(apply(X7,X9),apply(X8,X9))).
% 60.22/7.92 cnf(a2, assumption,
% 60.22/7.92 apply(X2,X3) = apply(apply(X7,X9),apply(X8,X9))).
% 60.22/7.92 cnf(c8, plain,
% 60.22/7.92 X6 != apply(apply(apply(b,X1),X2),X3) | apply(X0,f(X0)) != X6,
% 60.22/7.92 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 60.22/7.92 cnf(c9, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 60.22/7.92 cnf(c10, plain,
% 60.22/7.92 X10 != apply(apply(apply(s,X7),X8),X9) | X5 != X10,
% 60.22/7.92 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 60.22/7.92
% 60.22/7.92 cnf(a3, assumption,
% 60.22/7.92 X10 = apply(apply(apply(s,X7),X8),X9)).
% 60.22/7.92 cnf(c11, plain,
% 60.22/7.92 X5 != X10,
% 60.22/7.92 inference(reflexivity, [assumptions([a3])], [c10])).
% 60.22/7.92
% 60.22/7.92 cnf(a4, assumption,
% 60.22/7.92 X5 = X10).
% 60.22/7.92 cnf(c12, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(reflexivity, [assumptions([a4])], [c11])).
% 60.22/7.92
% 60.22/7.92 cnf(c13, axiom,
% 60.22/7.92 apply(apply(apply(s,X11),X12),X13) = apply(apply(X11,X13),apply(X12,X13))).
% 60.22/7.92 cnf(a5, assumption,
% 60.22/7.92 apply(apply(b,X1),X2) = apply(apply(X11,X13),apply(X12,X13))).
% 60.22/7.92 cnf(c14, plain,
% 60.22/7.92 apply(X0,f(X0)) != X6,
% 60.22/7.92 inference(strict_function_extension, [assumptions([a5])], [c8, c13])).
% 60.22/7.92 cnf(c15, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(strict_function_extension, [assumptions([a5])], [c8, c13])).
% 60.22/7.92 cnf(c16, plain,
% 60.22/7.92 X14 != apply(apply(apply(s,X11),X12),X13) | X6 != apply(X14,X3),
% 60.22/7.92 inference(strict_function_extension, [assumptions([a5])], [c8, c13])).
% 60.22/7.92
% 60.22/7.92 cnf(c17, axiom,
% 60.22/7.92 apply(apply(apply(b,X15),X16),X17) = apply(X15,apply(X16,X17))).
% 60.22/7.92 cnf(a6, assumption,
% 60.22/7.92 apply(apply(s,X11),X12) = apply(X15,apply(X16,X17))).
% 60.22/7.92 cnf(c18, plain,
% 60.22/7.92 X6 != apply(X14,X3),
% 60.22/7.92 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 60.22/7.92 cnf(c19, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 60.22/7.92 cnf(c20, plain,
% 60.22/7.92 X18 != apply(apply(apply(b,X15),X16),X17) | X14 != apply(X18,X13),
% 60.22/7.92 inference(strict_function_extension, [assumptions([a6])], [c16, c17])).
% 60.22/7.92
% 60.22/7.92 cnf(c21, axiom,
% 60.22/7.92 apply(m,X19) = apply(X19,X19)).
% 60.22/7.92 cnf(a7, assumption,
% 60.22/7.92 apply(apply(apply(b,X15),X16),X17) = apply(X19,X19)).
% 60.22/7.92 cnf(c22, plain,
% 60.22/7.92 X14 != apply(X18,X13),
% 60.22/7.92 inference(strict_function_extension, [assumptions([a7])], [c20, c21])).
% 60.22/7.92 cnf(c23, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(strict_function_extension, [assumptions([a7])], [c20, c21])).
% 60.22/7.92 cnf(c24, plain,
% 60.22/7.92 X20 != apply(m,X19) | X18 != X20,
% 60.22/7.92 inference(strict_function_extension, [assumptions([a7])], [c20, c21])).
% 60.22/7.92
% 60.22/7.92 cnf(a8, assumption,
% 60.22/7.92 X20 = apply(m,X19)).
% 60.22/7.92 cnf(c25, plain,
% 60.22/7.92 X18 != X20,
% 60.22/7.92 inference(reflexivity, [assumptions([a8])], [c24])).
% 60.22/7.92
% 60.22/7.92 cnf(a9, assumption,
% 60.22/7.92 X18 = X20).
% 60.22/7.92 cnf(c26, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(reflexivity, [assumptions([a9])], [c25])).
% 60.22/7.92
% 60.22/7.92 cnf(a10, assumption,
% 60.22/7.92 X14 = apply(X18,X13)).
% 60.22/7.92 cnf(c27, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(reflexivity, [assumptions([a10])], [c22])).
% 60.22/7.92
% 60.22/7.92 cnf(c28, plain,
% 60.22/7.92 X5 = apply(X2,X3)).
% 60.22/7.92 cnf(a11, assumption,
% 60.22/7.92 apply(X14,X3) = apply(X2,X3)).
% 60.22/7.92 cnf(c29, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(equality_reduction, [assumptions([a11])], [c18, c28])).
% 60.22/7.92 cnf(c30, plain,
% 60.22/7.92 X6 != X5,
% 60.22/7.92 inference(equality_reduction, [assumptions([a11])], [c18, c28])).
% 60.22/7.92
% 60.22/7.92 cnf(a12, assumption,
% 60.22/7.92 X6 = X5).
% 60.22/7.92 cnf(c31, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(reflexivity, [assumptions([a12])], [c30])).
% 60.22/7.92
% 60.22/7.92 cnf(a13, assumption,
% 60.22/7.92 apply(X0,f(X0)) = X6).
% 60.22/7.92 cnf(c32, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(reflexivity, [assumptions([a13])], [c14])).
% 60.22/7.92
% 60.22/7.92 cnf(c33, plain,
% 60.22/7.92 $false,
% 60.22/7.92 inference(constraint_solving, [
% 60.22/7.92 bind(X0, apply(apply(s,X7),X8)),
% 60.22/7.92 bind(X1, f(X0)),
% 60.22/7.92 bind(X2, apply(X7,X9)),
% 60.22/7.92 bind(X3, apply(X8,X9)),
% 60.22/7.92 bind(X6, apply(X0,f(X0))),
% 60.22/7.92 bind(X4, f(X0)),
% 60.22/7.92 bind(X5, apply(X0,f(X0))),
% 60.22/7.92 bind(X7, apply(X16,X17)),
% 60.22/7.92 bind(X8, X8),
% 60.22/7.92 bind(X9, f(X0)),
% 60.22/7.92 bind(X10, apply(apply(apply(s,X7),X8),X9)),
% 60.22/7.92 bind(X11, b),
% 60.22/7.92 bind(X12, apply(X16,X17)),
% 60.22/7.92 bind(X13, f(X0)),
% 60.22/7.92 bind(X14, apply(X18,X13)),
% 60.22/7.92 bind(X15, apply(s,X11)),
% 60.22/7.92 bind(X16, m),
% 60.22/7.92 bind(X17, apply(apply(b,X15),X16)),
% 60.22/7.92 bind(X18, apply(m,X19)),
% 60.22/7.92 bind(X19, apply(apply(b,X15),X16)),
% 60.22/7.92 bind(X20, apply(m,X19))
% 60.22/7.92 ],
% 60.22/7.92 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])).
% 60.22/7.92
% 60.22/7.92 % SZS output end IncompleteProof
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