TSTP Solution File: SET155+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET155+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 02:51:54 EDT 2022
% Result : Theorem 78.31s 76.03s
% Output : Proof 78.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET155+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 04:39:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 78.31/76.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.31/76.04 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.31/76.04
% 78.31/76.04 %-----------------------------------------------------
% 78.31/76.04 fof(thI26, conjecture, ! [_42624, _42627, _42630] : (subset(_42624, _42630) & subset(_42627, _42630) => equal_set(difference(_42630, union(_42624, _42627)), intersection(difference(_42630, _42624), difference(_42630, _42627)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI26)).
% 78.31/76.04 fof(subset, axiom, ! [_42925, _42928] : (subset(_42925, _42928) <=> ! [_42946] : (member(_42946, _42925) => member(_42946, _42928))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 78.31/76.04 fof(equal_set, axiom, ! [_43144, _43147] : (equal_set(_43144, _43147) <=> subset(_43144, _43147) & subset(_43147, _43144)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 78.31/76.04 fof(intersection, axiom, ! [_43320, _43323, _43326] : (member(_43320, intersection(_43323, _43326)) <=> member(_43320, _43323) & member(_43320, _43326)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 78.31/76.04 fof(union, axiom, ! [_43545, _43548, _43551] : (member(_43545, union(_43548, _43551)) <=> member(_43545, _43548) | member(_43545, _43551)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', union)).
% 78.31/76.04 fof(difference, axiom, ! [_43771, _43774, _43777] : (member(_43771, difference(_43777, _43774)) <=> member(_43771, _43777) & ~ member(_43771, _43774)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 78.31/76.04
% 78.31/76.04 cnf(1, plain, [equal_set(difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))], clausify(thI26)).
% 78.31/76.04 cnf(2, plain, [-(_8202 = _8202)], theory(equality)).
% 78.31/76.04 cnf(3, plain, [-(member(_9801, _9932)), member(_9734, _9867), _9734 = _9801, _9867 = _9932], theory(equality)).
% 78.31/76.04 cnf(4, plain, [-(subset(_14960, _15016)), -(member(1 ^ [_15016, _14960], _14960))], clausify(subset)).
% 78.31/76.04 cnf(5, plain, [-(subset(_14960, _15016)), member(1 ^ [_15016, _14960], _15016)], clausify(subset)).
% 78.31/76.04 cnf(6, plain, [-(equal_set(_15421, _15472)), subset(_15421, _15472), subset(_15472, _15421)], clausify(equal_set)).
% 78.31/76.04 cnf(7, plain, [member(_16147, intersection(_16206, _16264)), -(member(_16147, _16206))], clausify(intersection)).
% 78.31/76.04 cnf(8, plain, [member(_16147, intersection(_16206, _16264)), -(member(_16147, _16264))], clausify(intersection)).
% 78.31/76.04 cnf(9, plain, [-(member(_16147, intersection(_16206, _16264))), member(_16147, _16206), member(_16147, _16264)], clausify(intersection)).
% 78.31/76.04 cnf(10, plain, [-(member(_16660, union(_16719, _16777))), member(_16660, _16719)], clausify(union)).
% 78.31/76.04 cnf(11, plain, [-(member(_16660, union(_16719, _16777))), member(_16660, _16777)], clausify(union)).
% 78.31/76.04 cnf(12, plain, [member(_16660, union(_16719, _16777)), -(member(_16660, _16719)), -(member(_16660, _16777))], clausify(union)).
% 78.31/76.04 cnf(13, plain, [member(_17365, difference(_17486, _17426)), -(member(_17365, _17486))], clausify(difference)).
% 78.31/76.04 cnf(14, plain, [member(_17365, difference(_17486, _17426)), member(_17365, _17426)], clausify(difference)).
% 78.31/76.04 cnf(15, plain, [-(member(_17365, difference(_17486, _17426))), member(_17365, _17486), -(member(_17365, _17426))], clausify(difference)).
% 78.31/76.04
% 78.31/76.04 cnf('1',plain,[equal_set(difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))],start(1)).
% 78.31/76.04 cnf('1.1',plain,[-(equal_set(difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))), subset(difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))), subset(intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ [])))],extension(6,bind([[_15472, _15421], [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.1',plain,[-(subset(difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))), -(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ []))))],extension(4,bind([[_15016, _14960], [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.1.1',plain,[member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ []))), -(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))))), member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))],extension(9,bind([[_16206, _16147, _16264], [difference(6 ^ [], union(4 ^ [], 5 ^ [])), 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.1.1.1',plain,[member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))), -(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))))],extension(8,bind([[_16206, _16147, _16264], [difference(6 ^ [], union(4 ^ [], 5 ^ [])), 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.1.1.1.1',plain,[member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))), -(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))), 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))] = 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])) = intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))],extension(3,bind([[_9734, _9801, _9867, _9932], [1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.1.1.1.1.1',plain,[member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))), -(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))), 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))] = 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])) = intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))],extension(3,bind([[_9734, _9801, _9867, _9932], [1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.1.1.1.1.1.1',plain,[member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))), -(subset(difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))))],extension(5,bind([[_14960, _15016], [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.1.1.1.1.1.1.1',plain,[subset(difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))],reduction('1.1')).
% 78.31/76.04 cnf('1.1.1.1.1.1.1.2',plain,[-(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))] = 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))])],extension(2,bind([[_8202], [1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))]]]))).
% 78.31/76.04 cnf('1.1.1.1.1.1.1.3',plain,[-(intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])) = intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))],extension(2,bind([[_8202], [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.1.1.1.1.2',plain,[-(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))] = 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))])],extension(2,bind([[_8202], [1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))]]]))).
% 78.31/76.04 cnf('1.1.1.1.1.1.3',plain,[-(intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])) = intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))],extension(2,bind([[_8202], [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.1.1.2',plain,[-(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))), member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ [])), member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ []))],extension(9,bind([[_16206, _16147, _16264], [difference(6 ^ [], 4 ^ []), 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])]]))).
% 78.31/76.04 cnf('1.1.1.1.2.1',plain,[-(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ []))), member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 6 ^ []), -(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 4 ^ []))],extension(15,bind([[_17486, _17365, _17426], [6 ^ [], 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 4 ^ []]]))).
% 78.31/76.04 cnf('1.1.1.1.2.1.1',plain,[-(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 6 ^ [])), member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ [])))],extension(13,bind([[_17365, _17486, _17426], [1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 6 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 78.31/76.04 cnf('1.1.1.1.2.1.1.1',plain,[-(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ []))))],reduction('1.1.1')).
% 78.31/76.04 cnf('1.1.1.1.2.1.2',plain,[member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 4 ^ []), -(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])))],extension(10,bind([[_16660, _16719, _16777], [1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 4 ^ [], 5 ^ []]]))).
% 78.31/76.04 cnf('1.1.1.1.2.1.2.1',plain,[member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])), member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ [])))],extension(14,bind([[_17365, _17486, _17426], [1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 6 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 78.31/76.04 cnf('1.1.1.1.2.1.2.1.1',plain,[-(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ []))))],reduction('1.1.1')).
% 78.31/76.04 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ []))), member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 6 ^ []), -(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 5 ^ []))],extension(15,bind([[_17486, _17365, _17426], [6 ^ [], 1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 78.31/76.04 cnf('1.1.1.1.2.2.1',plain,[-(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 6 ^ [])), member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ [])))],extension(13,bind([[_17365, _17486, _17426], [1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 6 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 78.31/76.04 cnf('1.1.1.1.2.2.1.1',plain,[-(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ []))))],reduction('1.1.1')).
% 78.31/76.04 cnf('1.1.1.1.2.2.2',plain,[member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 5 ^ []), -(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])))],extension(11,bind([[_16660, _16719, _16777], [1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 4 ^ [], 5 ^ []]]))).
% 78.31/76.04 cnf('1.1.1.1.2.2.2.1',plain,[member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])), member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ [])))],extension(14,bind([[_17365, _17486, _17426], [1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], 6 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 78.31/76.04 cnf('1.1.1.1.2.2.2.1.1',plain,[-(member(1 ^ [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ []))))],reduction('1.1.1')).
% 78.31/76.04 cnf('1.1.2',plain,[-(subset(intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ [])))), -(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))))],extension(4,bind([[_15016, _14960], [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.2.1',plain,[member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))), -(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ [])))],extension(7,bind([[_16264, _16147, _16206], [difference(6 ^ [], 5 ^ []), 1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ [])]]))).
% 78.31/76.04 cnf('1.1.2.1.1',plain,[member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ [])), -(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(difference(6 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])))), -(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])))],extension(15,bind([[_17486, _17365, _17426], [difference(6 ^ [], 4 ^ []), 1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])]]))).
% 78.31/76.04 cnf('1.1.2.1.1.1',plain,[member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(difference(6 ^ [], 4 ^ []), union(4 ^ [], 5 ^ []))), -(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], intersection(difference(difference(6 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))))), member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ [])))],extension(9,bind([[_16206, _16147, _16264], [difference(difference(6 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])), 1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.2.1.1.1.1',plain,[member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], intersection(difference(difference(6 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ [])))), -(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ []))))],extension(8,bind([[_16206, _16147, _16264], [difference(difference(6 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])), 1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.2.1.1.1.1.1',plain,[member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ []))), -(subset(intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))))],extension(5,bind([[_14960, _15016], [intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ []))]]))).
% 78.31/76.04 cnf('1.1.2.1.1.1.1.1.1',plain,[subset(intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])), difference(6 ^ [], union(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 78.31/76.04 cnf('1.1.2.1.1.1.2',plain,[-(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], union(4 ^ [], 5 ^ [])))), member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ []), -(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])))],extension(15,bind([[_17486, _17365, _17426], [6 ^ [], 1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])]]))).
% 78.31/76.04 cnf('1.1.2.1.1.1.2.1',plain,[-(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])), member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ []))],extension(13,bind([[_17365, _17486, _17426], [1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [], 4 ^ []]]))).
% 78.31/76.04 cnf('1.1.2.1.1.1.2.1.1',plain,[-(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ [])))],reduction('1.1.2.1')).
% 78.31/76.04 cnf('1.1.2.1.1.1.2.2',plain,[member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])), member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(difference(6 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])))],extension(14,bind([[_17365, _17486, _17426], [1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 78.31/76.04 cnf('1.1.2.1.1.1.2.2.1',plain,[-(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(difference(6 ^ [], 4 ^ []), union(4 ^ [], 5 ^ []))))],reduction('1.1.2.1.1')).
% 78.31/76.04 cnf('1.1.2.1.1.2',plain,[member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])), -(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], 4 ^ [])), -(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ []))],extension(12,bind([[_16719, _16660, _16777], [4 ^ [], 1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ []]]))).
% 78.31/76.04 cnf('1.1.2.1.1.2.1',plain,[member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], 4 ^ []), member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ []))],extension(14,bind([[_17365, _17486, _17426], [1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [], 4 ^ []]]))).
% 78.31/76.04 cnf('1.1.2.1.1.2.1.1',plain,[-(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ [])))],reduction('1.1.2.1')).
% 78.31/76.04 cnf('1.1.2.1.1.2.2',plain,[member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ []), member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ []))],extension(14,bind([[_17365, _17486, _17426], [1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [], 5 ^ []]]))).
% 78.31/76.04 cnf('1.1.2.1.1.2.2.1',plain,[-(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ []))), member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])))],extension(8,bind([[_16147, _16206, _16264], [1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ [])]]))).
% 78.31/76.04 cnf('1.1.2.1.1.2.2.1.1',plain,[-(member(1 ^ [difference(6 ^ [], union(4 ^ [], 5 ^ [])), intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))], intersection(difference(6 ^ [], 4 ^ []), difference(6 ^ [], 5 ^ []))))],reduction('1.1.2')).
% 78.31/76.04 %-----------------------------------------------------
% 78.31/76.05
% 78.31/76.05 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------