TSTP Solution File: BOO018-4 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : BOO018-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n024.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 : Thu Jul 14 23:43:12 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : BOO018-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 21:40:36 EDT 2022
% 0.13/0.35 % 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 additive_identity != inverse(multiplicative_identity)).
% 0.13/0.36 cnf(c1, plain,
% 0.13/0.36 additive_identity != inverse(multiplicative_identity),
% 0.13/0.36 inference(start, [], [c0])).
% 0.13/0.36
% 0.13/0.36 cnf(c2, axiom,
% 0.13/0.36 multiply(X0,multiplicative_identity) = X0).
% 0.13/0.36 cnf(a0, assumption,
% 0.13/0.36 inverse(multiplicative_identity) = X0).
% 0.13/0.36 cnf(c3, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36 cnf(c4, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36 cnf(c5, plain,
% 0.13/0.36 multiply(X0,multiplicative_identity) != X1 | additive_identity != X1,
% 0.13/0.36 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36
% 0.13/0.36 cnf(c6, axiom,
% 0.13/0.36 multiply(X2,X3) = multiply(X3,X2)).
% 0.13/0.36 cnf(a1, assumption,
% 0.13/0.36 multiply(X0,multiplicative_identity) = multiply(X3,X2)).
% 0.13/0.36 cnf(c7, plain,
% 0.13/0.36 additive_identity != X1,
% 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 X4 != multiply(X2,X3) | X4 != X1,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.13/0.36
% 0.13/0.36 cnf(c10, axiom,
% 0.13/0.36 additive_identity = multiply(X5,inverse(X5))).
% 0.13/0.36 cnf(a2, assumption,
% 0.13/0.36 multiply(X2,X3) = multiply(X5,inverse(X5))).
% 0.13/0.36 cnf(c11, plain,
% 0.13/0.36 X4 != X1,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 0.13/0.36 cnf(c12, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 0.13/0.36 cnf(c13, plain,
% 0.13/0.36 X6 != additive_identity | X4 != X6,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 0.13/0.36
% 0.13/0.36 cnf(a3, assumption,
% 0.13/0.36 X6 = additive_identity).
% 0.13/0.36 cnf(c14, plain,
% 0.13/0.36 X4 != X6,
% 0.13/0.36 inference(reflexivity, [assumptions([a3])], [c13])).
% 0.13/0.36
% 0.13/0.36 cnf(a4, assumption,
% 0.13/0.36 X4 = X6).
% 0.13/0.36 cnf(c15, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a4])], [c14])).
% 0.13/0.36
% 0.13/0.36 cnf(a5, assumption,
% 0.13/0.36 X4 = X1).
% 0.13/0.36 cnf(c16, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a5])], [c11])).
% 0.13/0.36
% 0.13/0.36 cnf(a6, assumption,
% 0.13/0.36 additive_identity = X1).
% 0.13/0.36 cnf(c17, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a6])], [c7])).
% 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, inverse(multiplicative_identity)),
% 0.13/0.36 bind(X1, additive_identity),
% 0.13/0.36 bind(X2, multiplicative_identity),
% 0.13/0.36 bind(X3, inverse(multiplicative_identity)),
% 0.13/0.36 bind(X4, additive_identity),
% 0.13/0.36 bind(X5, multiplicative_identity),
% 0.13/0.36 bind(X6, additive_identity)
% 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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