%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET595+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 02:54:31 EDT 2022
% Result : Theorem 0.67s 1.40s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET595+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % 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 : Sun Jul 10 10:17:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.67/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/1.42
% 0.67/1.42 %-----------------------------------------------------
% 0.67/1.42 fof(thI27, conjecture, ! [_33222, _33225] : (subset(_33222, _33225) => equal_set(union(difference(_33225, _33222), _33222), _33225)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI27)).
% 0.67/1.42 fof(subset, axiom, ! [_33425, _33428] : (subset(_33425, _33428) <=> ! [_33446] : (member(_33446, _33425) => member(_33446, _33428))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.67/1.42 fof(equal_set, axiom, ! [_33655, _33658] : (equal_set(_33655, _33658) <=> subset(_33655, _33658) & subset(_33658, _33655)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.67/1.42 fof(union, axiom, ! [_33834, _33837, _33840] : (member(_33834, union(_33837, _33840)) <=> member(_33834, _33837) | member(_33834, _33840)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', union)).
% 0.67/1.42 fof(difference, axiom, ! [_34060, _34063, _34066] : (member(_34060, difference(_34066, _34063)) <=> member(_34060, _34066) & ~ member(_34060, _34063)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 0.67/1.42
% 0.67/1.42 cnf(1, plain, [-(subset(4 ^ [], 5 ^ []))], clausify(thI27)).
% 0.67/1.42 cnf(2, plain, [equal_set(union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ [])], clausify(thI27)).
% 0.67/1.42 cnf(3, plain, [-(subset(_14738, _14794)), -(member(1 ^ [_14794, _14738], _14738))], clausify(subset)).
% 0.67/1.42 cnf(4, plain, [-(subset(_14738, _14794)), member(1 ^ [_14794, _14738], _14794)], clausify(subset)).
% 0.67/1.42 cnf(5, plain, [subset(_14738, _14794), member(_14908, _14738), -(member(_14908, _14794))], clausify(subset)).
% 0.67/1.42 cnf(6, plain, [-(equal_set(_15199, _15250)), subset(_15199, _15250), subset(_15250, _15199)], clausify(equal_set)).
% 0.67/1.42 cnf(7, plain, [-(member(_16438, union(_16497, _16555))), member(_16438, _16497)], clausify(union)).
% 0.67/1.42 cnf(8, plain, [-(member(_16438, union(_16497, _16555))), member(_16438, _16555)], clausify(union)).
% 0.67/1.42 cnf(9, plain, [member(_16438, union(_16497, _16555)), -(member(_16438, _16497)), -(member(_16438, _16555))], clausify(union)).
% 0.67/1.42 cnf(10, plain, [member(_17143, difference(_17264, _17204)), -(member(_17143, _17264))], clausify(difference)).
% 0.67/1.42 cnf(11, plain, [-(member(_17143, difference(_17264, _17204))), member(_17143, _17264), -(member(_17143, _17204))], clausify(difference)).
% 0.67/1.42
% 0.67/1.42 cnf('1',plain,[equal_set(union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ [])],start(2)).
% 0.67/1.42 cnf('1.1',plain,[-(equal_set(union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ [])), subset(union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []), subset(5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ []))],extension(6,bind([[_15250, _15199], [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])]]))).
% 0.67/1.42 cnf('1.1.1',plain,[-(subset(union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ [])), -(member(1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], union(difference(5 ^ [], 4 ^ []), 4 ^ [])))],extension(3,bind([[_14794, _14738], [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])]]))).
% 0.67/1.42 cnf('1.1.1.1',plain,[member(1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], union(difference(5 ^ [], 4 ^ []), 4 ^ [])), -(member(1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], difference(5 ^ [], 4 ^ []))), -(member(1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], 4 ^ []))],extension(9,bind([[_16497, _16438, _16555], [difference(5 ^ [], 4 ^ []), 1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], 4 ^ []]]))).
% 0.67/1.42 cnf('1.1.1.1.1',plain,[member(1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], difference(5 ^ [], 4 ^ [])), -(member(1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], 5 ^ []))],extension(10,bind([[_17204, _17143, _17264], [4 ^ [], 1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], 5 ^ []]]))).
% 0.67/1.42 cnf('1.1.1.1.1.1',plain,[member(1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], 5 ^ []), -(subset(union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []))],extension(4,bind([[_14738, _14794], [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []]]))).
% 0.67/1.42 cnf('1.1.1.1.1.1.1',plain,[subset(union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ [])],reduction('1.1')).
% 0.67/1.42 cnf('1.1.1.1.2',plain,[member(1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], 4 ^ []), subset(4 ^ [], 5 ^ []), -(member(1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], 5 ^ []))],extension(5,bind([[_14738, _14908, _14794], [4 ^ [], 1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], 5 ^ []]]))).
% 0.67/1.42 cnf('1.1.1.1.2.1',plain,[-(subset(4 ^ [], 5 ^ []))],extension(1)).
% 0.67/1.42 cnf('1.1.1.1.2.2',plain,[member(1 ^ [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])], 5 ^ []), -(subset(union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []))],extension(4,bind([[_14738, _14794], [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []]]))).
% 0.67/1.42 cnf('1.1.1.1.2.2.1',plain,[subset(union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ [])],reduction('1.1')).
% 0.67/1.42 cnf('1.1.2',plain,[-(subset(5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ []))), -(member(1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], 5 ^ []))],extension(3,bind([[_14794, _14738], [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []]]))).
% 0.67/1.42 cnf('1.1.2.1',plain,[member(1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], 5 ^ []), -(member(1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], difference(5 ^ [], 4 ^ []))), -(member(1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], 4 ^ []))],extension(11,bind([[_17264, _17143, _17204], [5 ^ [], 1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], 4 ^ []]]))).
% 0.67/1.42 cnf('1.1.2.1.1',plain,[member(1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], difference(5 ^ [], 4 ^ [])), -(member(1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], union(difference(5 ^ [], 4 ^ []), 4 ^ [])))],extension(7,bind([[_16438, _16497, _16555], [1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], difference(5 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.67/1.42 cnf('1.1.2.1.1.1',plain,[member(1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], union(difference(5 ^ [], 4 ^ []), 4 ^ [])), -(subset(5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])))],extension(4,bind([[_14738, _14794], [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])]]))).
% 0.67/1.42 cnf('1.1.2.1.1.1.1',plain,[subset(5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ []))],reduction('1.1')).
% 0.67/1.42 cnf('1.1.2.1.2',plain,[member(1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], 4 ^ []), -(member(1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], union(difference(5 ^ [], 4 ^ []), 4 ^ [])))],extension(8,bind([[_16438, _16497, _16555], [1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], difference(5 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.67/1.42 cnf('1.1.2.1.2.1',plain,[member(1 ^ [union(difference(5 ^ [], 4 ^ []), 4 ^ []), 5 ^ []], union(difference(5 ^ [], 4 ^ []), 4 ^ [])), -(subset(5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])))],extension(4,bind([[_14738, _14794], [5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ [])]]))).
% 0.67/1.42 cnf('1.1.2.1.2.1.1',plain,[subset(5 ^ [], union(difference(5 ^ [], 4 ^ []), 4 ^ []))],reduction('1.1')).
% 0.67/1.42 %-----------------------------------------------------
% 0.67/1.42
% 0.67/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------