TSTP Solution File: GRP168-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP168-2 : 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 : n003.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 : Sat Jul 16 10:09:28 EDT 2022
% Result : Unsatisfiable 0.21s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP168-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 18:42:24 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.40 % SZS status Unsatisfiable
% 0.21/0.40 % SZS output begin IncompleteProof
% 0.21/0.40 cnf(c0, axiom,
% 0.21/0.40 multiply(inverse(c),multiply(a,c)) != greatest_lower_bound(multiply(inverse(c),multiply(a,c)),multiply(inverse(c),multiply(b,c)))).
% 0.21/0.40 cnf(c1, plain,
% 0.21/0.40 multiply(inverse(c),multiply(a,c)) != greatest_lower_bound(multiply(inverse(c),multiply(a,c)),multiply(inverse(c),multiply(b,c))),
% 0.21/0.40 inference(start, [], [c0])).
% 0.21/0.40
% 0.21/0.40 cnf(c2, axiom,
% 0.21/0.40 multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2))).
% 0.21/0.40 cnf(a0, assumption,
% 0.21/0.40 greatest_lower_bound(multiply(inverse(c),multiply(a,c)),multiply(inverse(c),multiply(b,c))) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2))).
% 0.21/0.40 cnf(c3, plain,
% 0.21/0.40 $false,
% 0.21/0.40 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.21/0.40 cnf(c4, plain,
% 0.21/0.40 $false,
% 0.21/0.40 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.21/0.40 cnf(c5, plain,
% 0.21/0.40 X3 != multiply(X0,greatest_lower_bound(X1,X2)) | multiply(inverse(c),multiply(a,c)) != X3,
% 0.21/0.40 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.21/0.40
% 0.21/0.40 cnf(c6, axiom,
% 0.21/0.40 multiply(greatest_lower_bound(X4,X5),X6) = greatest_lower_bound(multiply(X4,X6),multiply(X5,X6))).
% 0.21/0.40 cnf(a1, assumption,
% 0.21/0.40 greatest_lower_bound(X1,X2) = greatest_lower_bound(multiply(X4,X6),multiply(X5,X6))).
% 0.21/0.40 cnf(c7, plain,
% 0.21/0.40 multiply(inverse(c),multiply(a,c)) != X3,
% 0.21/0.40 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.21/0.40 cnf(c8, plain,
% 0.21/0.40 $false,
% 0.21/0.40 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.21/0.40 cnf(c9, plain,
% 0.21/0.40 X7 != multiply(greatest_lower_bound(X4,X5),X6) | X3 != multiply(X0,X7),
% 0.21/0.40 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.21/0.40
% 0.21/0.40 cnf(c10, axiom,
% 0.21/0.40 a = greatest_lower_bound(a,b)).
% 0.21/0.40 cnf(a2, assumption,
% 0.21/0.40 greatest_lower_bound(X4,X5) = greatest_lower_bound(a,b)).
% 0.21/0.40 cnf(c11, plain,
% 0.21/0.40 X3 != multiply(X0,X7),
% 0.21/0.40 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 0.21/0.40 cnf(c12, plain,
% 0.21/0.40 $false,
% 0.21/0.40 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 0.21/0.40 cnf(c13, plain,
% 0.21/0.40 X8 != a | X7 != multiply(X8,X6),
% 0.21/0.40 inference(strict_function_extension, [assumptions([a2])], [c9, c10])).
% 0.21/0.40
% 0.21/0.40 cnf(a3, assumption,
% 0.21/0.40 X8 = a).
% 0.21/0.40 cnf(c14, plain,
% 0.21/0.40 X7 != multiply(X8,X6),
% 0.21/0.40 inference(reflexivity, [assumptions([a3])], [c13])).
% 0.21/0.40
% 0.21/0.40 cnf(a4, assumption,
% 0.21/0.40 X7 = multiply(X8,X6)).
% 0.21/0.40 cnf(c15, plain,
% 0.21/0.40 $false,
% 0.21/0.40 inference(reflexivity, [assumptions([a4])], [c14])).
% 0.21/0.40
% 0.21/0.40 cnf(a5, assumption,
% 0.21/0.40 X3 = multiply(X0,X7)).
% 0.21/0.40 cnf(c16, plain,
% 0.21/0.40 $false,
% 0.21/0.40 inference(reflexivity, [assumptions([a5])], [c11])).
% 0.21/0.40
% 0.21/0.40 cnf(a6, assumption,
% 0.21/0.40 multiply(inverse(c),multiply(a,c)) = X3).
% 0.21/0.40 cnf(c17, plain,
% 0.21/0.40 $false,
% 0.21/0.40 inference(reflexivity, [assumptions([a6])], [c7])).
% 0.21/0.40
% 0.21/0.40 cnf(c18, plain,
% 0.21/0.40 $false,
% 0.21/0.40 inference(constraint_solving, [
% 0.21/0.40 bind(X0, inverse(c)),
% 0.21/0.40 bind(X1, multiply(a,c)),
% 0.21/0.40 bind(X2, multiply(b,c)),
% 0.21/0.40 bind(X3, multiply(X0,X7)),
% 0.21/0.40 bind(X4, a),
% 0.21/0.40 bind(X5, b),
% 0.21/0.40 bind(X6, c),
% 0.21/0.40 bind(X7, multiply(X8,X6)),
% 0.21/0.40 bind(X8, a)
% 0.21/0.40 ],
% 0.21/0.40 [a0, a1, a2, a3, a4, a5, a6])).
% 0.21/0.40
% 0.21/0.40 % SZS output end IncompleteProof
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