TSTP Solution File: SET763+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET763+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 193.37s 187.03s
% Output : Proof 193.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET763+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 03:41:43 EDT 2022
% 0.14/0.34 % CPUTime :
% 193.37/187.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 193.37/187.04 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 193.37/187.04
% 193.37/187.04 %-----------------------------------------------------
% 193.37/187.04 fof(image2, axiom, ! [_148885, _148888, _148891] : (member(_148891, image2(_148885, _148888)) <=> ? [_148916] : (member(_148916, _148888) & apply(_148885, _148916, _148891))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', image2)).
% 193.37/187.04 fof(thIIa13, conjecture, ! [_149124, _149127, _149130, _149133] : (maps(_149124, _149127, _149130) & subset(_149133, _149127) & equal_set(image2(_149124, _149133), empty_set) => equal_set(_149133, empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIIa13)).
% 193.37/187.04 fof(maps, axiom, ! [_149392, _149395, _149398] : (maps(_149392, _149395, _149398) <=> ! [_149419] : (member(_149419, _149395) => ? [_149437] : (member(_149437, _149398) & apply(_149392, _149419, _149437))) & ! [_149419, _149470, _149473] : (member(_149419, _149395) & member(_149470, _149398) & member(_149473, _149398) => apply(_149392, _149419, _149470) & apply(_149392, _149419, _149473) => _149470 = _149473)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', maps)).
% 193.37/187.05 fof(equal_set, axiom, ! [_149974, _149977] : (equal_set(_149974, _149977) <=> subset(_149974, _149977) & subset(_149977, _149974)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 193.37/187.05 fof(subset, axiom, ! [_150176, _150179] : (subset(_150176, _150179) <=> ! [_150197] : (member(_150197, _150176) => member(_150197, _150179))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 193.37/187.05 fof(empty_set, axiom, ! [_150403] : ~ member(_150403, empty_set), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 193.37/187.05
% 193.37/187.05 cnf(1, plain, [-(member(_71894, image2(_71765, _71830))), member(_72054, _71830), apply(_71765, _72054, _71894)], clausify(image2)).
% 193.37/187.05 cnf(2, plain, [-(maps(41 ^ [], 42 ^ [], 43 ^ []))], clausify(thIIa13)).
% 193.37/187.05 cnf(3, plain, [maps(_59732, _59859, _59985), member(_60219, _59859), -(member(4 ^ [_60219, _59985, _59859, _59732], _59985))], clausify(maps)).
% 193.37/187.05 cnf(4, plain, [equal_set(44 ^ [], empty_set)], clausify(thIIa13)).
% 193.37/187.05 cnf(5, plain, [-(subset(44 ^ [], 42 ^ []))], clausify(thIIa13)).
% 193.37/187.05 cnf(6, plain, [-(maps(_59732, _59859, _59985)), -(member(7 ^ [_59985, _59859, _59732], _59985)), -(member(5 ^ [_59985, _59859, _59732], _59859))], clausify(maps)).
% 193.37/187.05 cnf(7, plain, [equal_set(_55307, _55358), -(subset(_55307, _55358))], clausify(equal_set)).
% 193.37/187.05 cnf(8, plain, [-(subset(_54846, _54902)), -(member(1 ^ [_54902, _54846], _54846))], clausify(subset)).
% 193.37/187.05 cnf(9, plain, [maps(_59732, _59859, _59985), member(_60219, _59859), -(apply(_59732, _60219, 4 ^ [_60219, _59985, _59859, _59732]))], clausify(maps)).
% 193.37/187.05 cnf(10, plain, [member(_57059, empty_set)], clausify(empty_set)).
% 193.37/187.05 cnf(11, plain, [subset(_54846, _54902), member(_55016, _54846), -(member(_55016, _54902))], clausify(subset)).
% 193.37/187.05 cnf(12, plain, [-(equal_set(_55307, _55358)), subset(_55307, _55358), subset(_55358, _55307)], clausify(equal_set)).
% 193.37/187.05 cnf(13, plain, [-(equal_set(image2(41 ^ [], 44 ^ []), empty_set))], clausify(thIIa13)).
% 193.37/187.05
% 193.37/187.05 cnf('1',plain,[equal_set(44 ^ [], empty_set)],start(4)).
% 193.37/187.05 cnf('1.1',plain,[-(equal_set(44 ^ [], empty_set)), subset(44 ^ [], empty_set), subset(empty_set, 44 ^ [])],extension(12,bind([[_55358, _55307], [empty_set, 44 ^ []]]))).
% 193.37/187.05 cnf('1.1.1',plain,[-(subset(44 ^ [], empty_set)), -(member(1 ^ [empty_set, 44 ^ []], 44 ^ []))],extension(8,bind([[_54902, _54846], [empty_set, 44 ^ []]]))).
% 193.37/187.05 cnf('1.1.1.1',plain,[member(1 ^ [empty_set, 44 ^ []], 44 ^ []), -(member(4 ^ [1 ^ [empty_set, 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []], image2(41 ^ [], 44 ^ []))), apply(41 ^ [], 1 ^ [empty_set, 44 ^ []], 4 ^ [1 ^ [empty_set, 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []])],extension(1,bind([[_71830, _71765, _72054, _71894], [44 ^ [], 41 ^ [], 1 ^ [empty_set, 44 ^ []], 4 ^ [1 ^ [empty_set, 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []]]]))).
% 193.37/187.05 cnf('1.1.1.1.1',plain,[member(4 ^ [1 ^ [empty_set, 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []], image2(41 ^ [], 44 ^ [])), subset(image2(41 ^ [], 44 ^ []), empty_set), -(member(4 ^ [1 ^ [empty_set, 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []], empty_set))],extension(11,bind([[_54846, _55016, _54902], [image2(41 ^ [], 44 ^ []), 4 ^ [1 ^ [empty_set, 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []], empty_set]]))).
% 193.37/187.05 cnf('1.1.1.1.1.1',plain,[-(subset(image2(41 ^ [], 44 ^ []), empty_set)), equal_set(image2(41 ^ [], 44 ^ []), empty_set)],extension(7,bind([[_55307, _55358], [image2(41 ^ [], 44 ^ []), empty_set]]))).
% 193.37/187.05 cnf('1.1.1.1.1.1.1',plain,[-(equal_set(image2(41 ^ [], 44 ^ []), empty_set))],extension(13)).
% 193.37/187.05 cnf('1.1.1.1.1.2',plain,[member(4 ^ [1 ^ [empty_set, 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []], empty_set)],extension(10,bind([[_57059], [4 ^ [1 ^ [empty_set, 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []]]]))).
% 193.37/187.05 cnf('1.1.1.1.2',plain,[-(apply(41 ^ [], 1 ^ [empty_set, 44 ^ []], 4 ^ [1 ^ [empty_set, 44 ^ []], 43 ^ [], 42 ^ [], 41 ^ []])), maps(41 ^ [], 42 ^ [], 43 ^ []), member(1 ^ [empty_set, 44 ^ []], 42 ^ [])],extension(9,bind([[_59732, _59985, _60219, _59859], [41 ^ [], 43 ^ [], 1 ^ [empty_set, 44 ^ []], 42 ^ []]]))).
% 193.37/187.05 cnf('1.1.1.1.2.1',plain,[-(maps(41 ^ [], 42 ^ [], 43 ^ []))],extension(2)).
% 193.37/187.05 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [empty_set, 44 ^ []], 42 ^ [])), subset(44 ^ [], 42 ^ []), member(1 ^ [empty_set, 44 ^ []], 44 ^ [])],extension(11,bind([[_54902, _55016, _54846], [42 ^ [], 1 ^ [empty_set, 44 ^ []], 44 ^ []]]))).
% 193.37/187.05 cnf('1.1.1.1.2.2.1',plain,[-(subset(44 ^ [], 42 ^ []))],extension(5)).
% 193.37/187.05 cnf('1.1.1.1.2.2.2',plain,[-(member(1 ^ [empty_set, 44 ^ []], 44 ^ []))],reduction('1.1.1')).
% 193.37/187.05 cnf('1.1.2',plain,[-(subset(empty_set, 44 ^ [])), -(member(1 ^ [44 ^ [], empty_set], empty_set))],extension(8,bind([[_54902, _54846], [44 ^ [], empty_set]]))).
% 193.37/187.05 cnf('1.1.2.1',plain,[member(1 ^ [44 ^ [], empty_set], empty_set), maps(_141672, empty_set, empty_set), -(member(4 ^ [1 ^ [44 ^ [], empty_set], empty_set, empty_set, _141672], empty_set))],extension(3,bind([[_60219, _59859, _59732, _59985], [1 ^ [44 ^ [], empty_set], empty_set, _141672, empty_set]]))).
% 193.37/187.05 cnf('1.1.2.1.1',plain,[-(maps(_141672, empty_set, empty_set)), -(member(7 ^ [empty_set, empty_set, _141672], empty_set)), -(member(5 ^ [empty_set, empty_set, _141672], empty_set))],extension(6,bind([[_59985, _59732, _59859], [empty_set, _141672, empty_set]]))).
% 193.37/187.05 cnf('1.1.2.1.1.1',plain,[member(7 ^ [empty_set, empty_set, _141672], empty_set)],extension(10,bind([[_57059], [7 ^ [empty_set, empty_set, _141672]]]))).
% 193.37/187.05 cnf('1.1.2.1.1.2',plain,[member(5 ^ [empty_set, empty_set, _141672], empty_set)],extension(10,bind([[_57059], [5 ^ [empty_set, empty_set, _141672]]]))).
% 193.37/187.05 cnf('1.1.2.1.2',plain,[member(4 ^ [1 ^ [44 ^ [], empty_set], empty_set, empty_set, _141672], empty_set)],extension(10,bind([[_57059], [4 ^ [1 ^ [44 ^ [], empty_set], empty_set, empty_set, _141672]]]))).
% 193.37/187.05 %-----------------------------------------------------
% 193.37/187.05
% 193.37/187.05 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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