TSTP Solution File: SET762+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET762+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 : Tue Jul 19 02:55:49 EDT 2022
% Result : Theorem 2.46s 3.47s
% Output : Proof 2.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET762+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n004.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 : Sun Jul 10 05:57:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.46/3.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.46/3.48 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.46/3.49
% 2.46/3.49 %-----------------------------------------------------
% 2.46/3.49 fof(thIIa12, conjecture, ! [_119849, _119852, _119855] : (maps(_119849, _119852, _119855) => equal_set(image2(_119849, empty_set), empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIIa12)).
% 2.46/3.49 fof(subset, axiom, ! [_120061, _120064] : (subset(_120061, _120064) <=> ! [_120082] : (member(_120082, _120061) => member(_120082, _120064))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 2.46/3.49 fof(equal_set, axiom, ! [_120269, _120272] : (equal_set(_120269, _120272) <=> subset(_120269, _120272) & subset(_120272, _120269)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 2.46/3.49 fof(empty_set, axiom, ! [_120451] : ~ member(_120451, empty_set), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 2.46/3.49 fof(image2, axiom, ! [_120640, _120643, _120646] : (member(_120646, image2(_120640, _120643)) <=> ? [_120671] : (member(_120671, _120643) & apply(_120640, _120671, _120646))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', image2)).
% 2.46/3.49
% 2.46/3.49 cnf(1, plain, [equal_set(image2(41 ^ [], empty_set), empty_set)], clausify(thIIa12)).
% 2.46/3.49 cnf(2, plain, [-(subset(_54633, _54689)), -(member(1 ^ [_54689, _54633], _54633))], clausify(subset)).
% 2.46/3.49 cnf(3, plain, [-(equal_set(_55094, _55145)), subset(_55094, _55145), subset(_55145, _55094)], clausify(equal_set)).
% 2.46/3.49 cnf(4, plain, [member(_56846, empty_set)], clausify(empty_set)).
% 2.46/3.49 cnf(5, plain, [member(_71681, image2(_71552, _71617)), -(member(25 ^ [_71681, _71617, _71552], _71617))], clausify(image2)).
% 2.46/3.49
% 2.46/3.49 cnf('1',plain,[equal_set(image2(41 ^ [], empty_set), empty_set)],start(1)).
% 2.46/3.49 cnf('1.1',plain,[-(equal_set(image2(41 ^ [], empty_set), empty_set)), subset(image2(41 ^ [], empty_set), empty_set), subset(empty_set, image2(41 ^ [], empty_set))],extension(3,bind([[_55145, _55094], [empty_set, image2(41 ^ [], empty_set)]]))).
% 2.46/3.49 cnf('1.1.1',plain,[-(subset(image2(41 ^ [], empty_set), empty_set)), -(member(1 ^ [empty_set, image2(41 ^ [], empty_set)], image2(41 ^ [], empty_set)))],extension(2,bind([[_54689, _54633], [empty_set, image2(41 ^ [], empty_set)]]))).
% 2.46/3.49 cnf('1.1.1.1',plain,[member(1 ^ [empty_set, image2(41 ^ [], empty_set)], image2(41 ^ [], empty_set)), -(member(25 ^ [1 ^ [empty_set, image2(41 ^ [], empty_set)], empty_set, 41 ^ []], empty_set))],extension(5,bind([[_71681, _71552, _71617], [1 ^ [empty_set, image2(41 ^ [], empty_set)], 41 ^ [], empty_set]]))).
% 2.46/3.49 cnf('1.1.1.1.1',plain,[member(25 ^ [1 ^ [empty_set, image2(41 ^ [], empty_set)], empty_set, 41 ^ []], empty_set)],extension(4,bind([[_56846], [25 ^ [1 ^ [empty_set, image2(41 ^ [], empty_set)], empty_set, 41 ^ []]]]))).
% 2.46/3.49 cnf('1.1.2',plain,[-(subset(empty_set, image2(41 ^ [], empty_set))), -(member(1 ^ [image2(41 ^ [], empty_set), empty_set], empty_set))],extension(2,bind([[_54689, _54633], [image2(41 ^ [], empty_set), empty_set]]))).
% 2.46/3.49 cnf('1.1.2.1',plain,[member(1 ^ [image2(41 ^ [], empty_set), empty_set], empty_set)],extension(4,bind([[_56846], [1 ^ [image2(41 ^ [], empty_set), empty_set]]]))).
% 2.46/3.49 %-----------------------------------------------------
% 2.46/3.49
% 2.46/3.49 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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