TSTP Solution File: SET700+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET700+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 02:55:28 EDT 2022
% Result : Theorem 0.72s 1.42s
% Output : Proof 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET700+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.34 % Computer : n008.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 01:35:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.72/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/1.44
% 0.72/1.44 %-----------------------------------------------------
% 0.72/1.44 fof(thI34, conjecture, ! [_33837, _33840, _33843] : (subset(_33837, _33843) & subset(_33840, _33843) => (subset(_33837, _33840) <=> subset(intersection(_33837, difference(_33843, _33840)), _33840))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI34)).
% 0.72/1.44 fof(subset, axiom, ! [_34152, _34155] : (subset(_34152, _34155) <=> ! [_34173] : (member(_34173, _34152) => member(_34173, _34155))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.72/1.44 fof(intersection, axiom, ! [_34385, _34388, _34391] : (member(_34385, intersection(_34388, _34391)) <=> member(_34385, _34388) & member(_34385, _34391)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.72/1.44 fof(difference, axiom, ! [_34605, _34608, _34611] : (member(_34605, difference(_34611, _34608)) <=> member(_34605, _34611) & ~ member(_34605, _34608)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 0.72/1.44
% 0.72/1.44 cnf(1, plain, [-(8 ^ []), subset(4 ^ [], 5 ^ [])], clausify(thI34)).
% 0.72/1.44 cnf(2, plain, [-(8 ^ []), -(subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 5 ^ []))], clausify(thI34)).
% 0.72/1.44 cnf(3, plain, [-(7 ^ []), subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 5 ^ [])], clausify(thI34)).
% 0.72/1.44 cnf(4, plain, [-(7 ^ []), -(subset(4 ^ [], 5 ^ []))], clausify(thI34)).
% 0.72/1.44 cnf(5, plain, [-(subset(4 ^ [], 6 ^ []))], clausify(thI34)).
% 0.72/1.44 cnf(6, plain, [7 ^ [], 8 ^ []], clausify(thI34)).
% 0.72/1.44 cnf(7, plain, [-(subset(_14895, _14951)), -(member(1 ^ [_14951, _14895], _14895))], clausify(subset)).
% 0.72/1.44 cnf(8, plain, [-(subset(_14895, _14951)), member(1 ^ [_14951, _14895], _14951)], clausify(subset)).
% 0.72/1.44 cnf(9, plain, [subset(_14895, _14951), member(_15065, _14895), -(member(_15065, _14951))], clausify(subset)).
% 0.72/1.44 cnf(10, plain, [member(_16082, intersection(_16141, _16199)), -(member(_16082, _16141))], clausify(intersection)).
% 0.72/1.44 cnf(11, plain, [-(member(_16082, intersection(_16141, _16199))), member(_16082, _16141), member(_16082, _16199)], clausify(intersection)).
% 0.72/1.44 cnf(12, plain, [-(member(_17300, difference(_17421, _17361))), member(_17300, _17421), -(member(_17300, _17361))], clausify(difference)).
% 0.72/1.44
% 0.72/1.44 cnf('1',plain,[7 ^ [], 8 ^ []],start(6)).
% 0.72/1.44 cnf('1.1',plain,[-(7 ^ []), subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 5 ^ [])],extension(3)).
% 0.72/1.44 cnf('1.1.1',plain,[-(subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 5 ^ [])), -(member(1 ^ [5 ^ [], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))))],extension(7,bind([[_14951, _14895], [5 ^ [], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 0.72/1.44 cnf('1.1.1.1',plain,[member(1 ^ [5 ^ [], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))), -(member(1 ^ [5 ^ [], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ []))],extension(10,bind([[_16199, _16082, _16141], [difference(6 ^ [], 5 ^ []), 1 ^ [5 ^ [], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ []]]))).
% 0.72/1.44 cnf('1.1.1.1.1',plain,[member(1 ^ [5 ^ [], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ []), subset(4 ^ [], 5 ^ []), -(member(1 ^ [5 ^ [], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 5 ^ []))],extension(9,bind([[_14895, _15065, _14951], [4 ^ [], 1 ^ [5 ^ [], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 5 ^ []]]))).
% 0.72/1.44 cnf('1.1.1.1.1.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(7 ^ [])],extension(4)).
% 0.72/1.44 cnf('1.1.1.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.72/1.44 cnf('1.1.1.1.1.2',plain,[member(1 ^ [5 ^ [], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 5 ^ []), -(subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 5 ^ []))],extension(8,bind([[_14895, _14951], [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 5 ^ []]]))).
% 0.72/1.44 cnf('1.1.1.1.1.2.1',plain,[subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 5 ^ [])],reduction('1.1')).
% 0.72/1.44 cnf('1.2',plain,[-(8 ^ []), subset(4 ^ [], 5 ^ [])],extension(1)).
% 0.72/1.44 cnf('1.2.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],extension(7,bind([[_14951, _14895], [5 ^ [], 4 ^ []]]))).
% 0.72/1.44 cnf('1.2.1.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))), member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 5 ^ []))],extension(11,bind([[_16141, _16082, _16199], [4 ^ [], 1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 5 ^ [])]]))).
% 0.72/1.44 cnf('1.2.1.1.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))), subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 5 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(9,bind([[_14895, _15065, _14951], [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.72/1.44 cnf('1.2.1.1.1.1',plain,[-(subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 5 ^ [])), -(8 ^ [])],extension(2)).
% 0.72/1.44 cnf('1.2.1.1.1.1.1',plain,[8 ^ []],reduction('1')).
% 0.72/1.44 cnf('1.2.1.1.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(8,bind([[_14895, _14951], [4 ^ [], 5 ^ []]]))).
% 0.72/1.44 cnf('1.2.1.1.1.2.1',plain,[subset(4 ^ [], 5 ^ [])],reduction('1.2')).
% 0.72/1.44 cnf('1.2.1.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 5 ^ []))), member(1 ^ [5 ^ [], 4 ^ []], 6 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(12,bind([[_17421, _17300, _17361], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.72/1.44 cnf('1.2.1.1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 6 ^ [])), subset(4 ^ [], 6 ^ []), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(9,bind([[_14951, _15065, _14895], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 0.72/1.44 cnf('1.2.1.1.2.1.1',plain,[-(subset(4 ^ [], 6 ^ []))],extension(5)).
% 0.72/1.44 cnf('1.2.1.1.2.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],reduction('1.2.1')).
% 0.72/1.44 cnf('1.2.1.1.2.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(8,bind([[_14895, _14951], [4 ^ [], 5 ^ []]]))).
% 0.72/1.44 cnf('1.2.1.1.2.2.1',plain,[subset(4 ^ [], 5 ^ [])],reduction('1.2')).
% 0.72/1.44 %-----------------------------------------------------
% 0.72/1.44
% 0.72/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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