TSTP Solution File: GRP156-1 by lazyCoP---0.1
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% File : lazyCoP---0.1
% Problem : GRP156-1 : 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 : n006.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 10:09:24 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP156-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.35 % Computer : n006.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 : Tue Jun 14 13:29:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % SZS status Unsatisfiable
% 0.20/0.56 % SZS output begin IncompleteProof
% 0.20/0.56 cnf(c0, axiom,
% 0.20/0.56 multiply(a,c) != greatest_lower_bound(multiply(a,c),multiply(b,c))).
% 0.20/0.56 cnf(c1, plain,
% 0.20/0.56 multiply(a,c) != greatest_lower_bound(multiply(a,c),multiply(b,c)),
% 0.20/0.56 inference(start, [], [c0])).
% 0.20/0.56
% 0.20/0.56 cnf(c2, axiom,
% 0.20/0.56 greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0).
% 0.20/0.56 cnf(a0, assumption,
% 0.20/0.56 greatest_lower_bound(X2,X3) = greatest_lower_bound(multiply(a,c),multiply(b,c))).
% 0.20/0.56 cnf(c3, plain,
% 0.20/0.56 $false,
% 0.20/0.56 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 0.20/0.56 cnf(c4, plain,
% 0.20/0.56 $false,
% 0.20/0.56 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 0.20/0.56 cnf(c5, plain,
% 0.20/0.56 X2 != X0 | X3 != least_upper_bound(X0,X1) | X4 != X0 | multiply(a,c) != X4,
% 0.20/0.56 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])).
% 0.20/0.56
% 0.20/0.56 cnf(a1, assumption,
% 0.20/0.56 X2 = X0).
% 0.20/0.56 cnf(c6, plain,
% 0.20/0.56 X3 != least_upper_bound(X0,X1) | X4 != X0 | multiply(a,c) != X4,
% 0.20/0.56 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.20/0.56
% 0.20/0.56 cnf(c7, axiom,
% 0.20/0.56 multiply(least_upper_bound(X5,X6),X7) = least_upper_bound(multiply(X5,X7),multiply(X6,X7))).
% 0.20/0.56 cnf(a2, assumption,
% 0.20/0.56 least_upper_bound(X0,X1) = least_upper_bound(multiply(X5,X7),multiply(X6,X7))).
% 0.20/0.56 cnf(c8, plain,
% 0.20/0.56 X4 != X0 | multiply(a,c) != X4,
% 0.20/0.56 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 0.20/0.56 cnf(c9, plain,
% 0.20/0.56 $false,
% 0.20/0.56 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 0.20/0.56 cnf(c10, plain,
% 0.20/0.56 X8 != multiply(least_upper_bound(X5,X6),X7) | X3 != X8,
% 0.20/0.56 inference(strict_function_extension, [assumptions([a2])], [c6, c7])).
% 0.20/0.56
% 0.20/0.56 cnf(c11, axiom,
% 0.20/0.56 b = least_upper_bound(a,b)).
% 0.20/0.56 cnf(a3, assumption,
% 0.20/0.56 least_upper_bound(X5,X6) = least_upper_bound(a,b)).
% 0.20/0.56 cnf(c12, plain,
% 0.20/0.56 X3 != X8,
% 0.20/0.56 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.20/0.56 cnf(c13, plain,
% 0.20/0.56 $false,
% 0.20/0.56 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.20/0.56 cnf(c14, plain,
% 0.20/0.56 X9 != b | X8 != multiply(X9,X7),
% 0.20/0.56 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.20/0.56
% 0.20/0.56 cnf(a4, assumption,
% 0.20/0.56 X9 = b).
% 0.20/0.56 cnf(c15, plain,
% 0.20/0.56 X8 != multiply(X9,X7),
% 0.20/0.56 inference(reflexivity, [assumptions([a4])], [c14])).
% 0.20/0.56
% 0.20/0.56 cnf(a5, assumption,
% 0.20/0.56 X8 = multiply(X9,X7)).
% 0.20/0.56 cnf(c16, plain,
% 0.20/0.56 $false,
% 0.20/0.56 inference(reflexivity, [assumptions([a5])], [c15])).
% 0.20/0.56
% 0.20/0.56 cnf(a6, assumption,
% 0.20/0.56 X3 = X8).
% 0.20/0.56 cnf(c17, plain,
% 0.20/0.56 $false,
% 0.20/0.56 inference(reflexivity, [assumptions([a6])], [c12])).
% 0.20/0.56
% 0.20/0.56 cnf(a7, assumption,
% 0.20/0.56 X4 = X0).
% 0.20/0.56 cnf(c18, plain,
% 0.20/0.56 multiply(a,c) != X4,
% 0.20/0.56 inference(reflexivity, [assumptions([a7])], [c8])).
% 0.20/0.56
% 0.20/0.56 cnf(a8, assumption,
% 0.20/0.56 multiply(a,c) = X4).
% 0.20/0.56 cnf(c19, plain,
% 0.20/0.56 $false,
% 0.20/0.56 inference(reflexivity, [assumptions([a8])], [c18])).
% 0.20/0.56
% 0.20/0.56 cnf(c20, plain,
% 0.20/0.56 $false,
% 0.20/0.56 inference(constraint_solving, [
% 0.20/0.56 bind(X0, multiply(a,c)),
% 0.20/0.56 bind(X1, multiply(X6,X7)),
% 0.20/0.56 bind(X4, multiply(a,c)),
% 0.20/0.56 bind(X2, multiply(a,c)),
% 0.20/0.56 bind(X3, multiply(b,c)),
% 0.20/0.56 bind(X5, a),
% 0.20/0.56 bind(X6, b),
% 0.20/0.56 bind(X7, c),
% 0.20/0.56 bind(X8, multiply(X9,X7)),
% 0.20/0.56 bind(X9, b)
% 0.20/0.56 ],
% 0.20/0.56 [a0, a1, a2, a3, a4, a5, a6, a7, a8])).
% 0.20/0.56
% 0.20/0.56 % SZS output end IncompleteProof
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