TSTP Solution File: SET699+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET699+4 : TPTP v8.1.0. Released v2.2.0.
% 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 02:55:27 EDT 2022
% Result : Theorem 0.78s 1.41s
% Output : Proof 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET699+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 03:41:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.78/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/1.42
% 0.78/1.42 %-----------------------------------------------------
% 0.78/1.42 fof(thI33, conjecture, ! [_35790, _35793, _35796] : (subset(_35790, _35796) & subset(_35793, _35796) => (subset(_35790, _35793) <=> subset(intersection(_35790, difference(_35796, _35793)), difference(_35796, _35790)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI33)).
% 0.78/1.42 fof(subset, axiom, ! [_36143, _36146] : (subset(_36143, _36146) <=> ! [_36164] : (member(_36164, _36143) => member(_36164, _36146))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.78/1.42 fof(intersection, axiom, ! [_36376, _36379, _36382] : (member(_36376, intersection(_36379, _36382)) <=> member(_36376, _36379) & member(_36376, _36382)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.78/1.42 fof(difference, axiom, ! [_36606, _36609, _36612] : (member(_36606, difference(_36612, _36609)) <=> member(_36606, _36612) & ~ member(_36606, _36609)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 0.78/1.42
% 0.78/1.42 cnf(1, plain, [-(8 ^ []), subset(4 ^ [], 5 ^ [])], clausify(thI33)).
% 0.78/1.42 cnf(2, plain, [-(8 ^ []), -(subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), difference(6 ^ [], 4 ^ [])))], clausify(thI33)).
% 0.78/1.42 cnf(3, plain, [-(7 ^ []), subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), difference(6 ^ [], 4 ^ []))], clausify(thI33)).
% 0.78/1.42 cnf(4, plain, [-(7 ^ []), -(subset(4 ^ [], 5 ^ []))], clausify(thI33)).
% 0.78/1.42 cnf(5, plain, [-(subset(4 ^ [], 6 ^ []))], clausify(thI33)).
% 0.78/1.42 cnf(6, plain, [7 ^ [], 8 ^ []], clausify(thI33)).
% 0.78/1.42 cnf(7, plain, [-(_8173 = _8173)], theory(equality)).
% 0.78/1.42 cnf(8, plain, [-(member(_9772, _9903)), member(_9705, _9838), _9705 = _9772, _9838 = _9903], theory(equality)).
% 0.78/1.42 cnf(9, plain, [-(subset(_14931, _14987)), -(member(1 ^ [_14987, _14931], _14931))], clausify(subset)).
% 0.78/1.42 cnf(10, plain, [-(subset(_14931, _14987)), member(1 ^ [_14987, _14931], _14987)], clausify(subset)).
% 0.78/1.42 cnf(11, plain, [subset(_14931, _14987), member(_15101, _14931), -(member(_15101, _14987))], clausify(subset)).
% 0.78/1.42 cnf(12, plain, [member(_16118, intersection(_16177, _16235)), -(member(_16118, _16177))], clausify(intersection)).
% 0.78/1.42 cnf(13, plain, [member(_16118, intersection(_16177, _16235)), -(member(_16118, _16235))], clausify(intersection)).
% 0.78/1.42 cnf(14, plain, [-(member(_16118, intersection(_16177, _16235))), member(_16118, _16177), member(_16118, _16235)], clausify(intersection)).
% 0.78/1.42 cnf(15, plain, [member(_17336, difference(_17457, _17397)), member(_17336, _17397)], clausify(difference)).
% 0.78/1.42 cnf(16, plain, [-(member(_17336, difference(_17457, _17397))), member(_17336, _17457), -(member(_17336, _17397))], clausify(difference)).
% 0.78/1.42
% 0.78/1.42 cnf('1',plain,[7 ^ [], 8 ^ []],start(6)).
% 0.78/1.42 cnf('1.1',plain,[-(7 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(4)).
% 0.78/1.42 cnf('1.1.1',plain,[subset(4 ^ [], 5 ^ []), member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ []), -(member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 5 ^ []))],extension(11,bind([[_14931, _15101, _14987], [4 ^ [], 1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 5 ^ []]]))).
% 0.78/1.42 cnf('1.1.1.1',plain,[-(member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ [])), member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))],extension(12,bind([[_16118, _16177, _16235], [1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ [], difference(6 ^ [], 5 ^ [])]]))).
% 0.78/1.42 cnf('1.1.1.1.1',plain,[-(member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))), member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))), 1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))] = 1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])) = intersection(4 ^ [], difference(6 ^ [], 5 ^ []))],extension(8,bind([[_9705, _9772, _9838, _9903], [1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 0.78/1.42 cnf('1.1.1.1.1.1',plain,[-(member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))), -(subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), difference(6 ^ [], 4 ^ [])))],extension(9,bind([[_14931, _14987], [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), difference(6 ^ [], 4 ^ [])]]))).
% 0.78/1.42 cnf('1.1.1.1.1.1.1',plain,[subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), difference(6 ^ [], 4 ^ [])), -(7 ^ [])],extension(3)).
% 0.78/1.42 cnf('1.1.1.1.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.78/1.42 cnf('1.1.1.1.1.2',plain,[-(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))] = 1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))])],extension(7,bind([[_8173], [1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]]))).
% 0.78/1.42 cnf('1.1.1.1.1.3',plain,[-(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])) = intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))],extension(7,bind([[_8173], [intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 0.78/1.42 cnf('1.1.1.2',plain,[member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 5 ^ []), member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ []))],extension(15,bind([[_17336, _17457, _17397], [1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 6 ^ [], 5 ^ []]]))).
% 0.78/1.42 cnf('1.1.1.2.1',plain,[-(member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ []))), member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))],extension(13,bind([[_16118, _16177, _16235], [1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ [], difference(6 ^ [], 5 ^ [])]]))).
% 0.78/1.42 cnf('1.1.1.2.1.1',plain,[-(member(1 ^ [difference(6 ^ [], 4 ^ []), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))), -(subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), difference(6 ^ [], 4 ^ [])))],extension(9,bind([[_14931, _14987], [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), difference(6 ^ [], 4 ^ [])]]))).
% 0.78/1.42 cnf('1.1.1.2.1.1.1',plain,[subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), difference(6 ^ [], 4 ^ [])), -(7 ^ [])],extension(3)).
% 0.78/1.42 cnf('1.1.1.2.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.78/1.42 cnf('1.2',plain,[-(8 ^ []), subset(4 ^ [], 5 ^ [])],extension(1)).
% 0.78/1.42 cnf('1.2.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],extension(9,bind([[_14987, _14931], [5 ^ [], 4 ^ []]]))).
% 0.78/1.42 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(14,bind([[_16177, _16118, _16235], [4 ^ [], 1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 5 ^ [])]]))).
% 0.78/1.42 cnf('1.2.1.1.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))), subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), difference(6 ^ [], 4 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 4 ^ [])))],extension(11,bind([[_14931, _15101, _14987], [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 4 ^ [])]]))).
% 0.78/1.42 cnf('1.2.1.1.1.1',plain,[-(subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), difference(6 ^ [], 4 ^ []))), -(8 ^ [])],extension(2)).
% 0.78/1.42 cnf('1.2.1.1.1.1.1',plain,[8 ^ []],reduction('1')).
% 0.78/1.42 cnf('1.2.1.1.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 4 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(15,bind([[_17457, _17336, _17397], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 0.78/1.42 cnf('1.2.1.1.1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],reduction('1.2.1')).
% 0.78/1.42 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(16,bind([[_17457, _17336, _17397], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.78/1.42 cnf('1.2.1.1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 6 ^ [])), subset(4 ^ [], 6 ^ []), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(11,bind([[_14987, _15101, _14931], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 0.78/1.42 cnf('1.2.1.1.2.1.1',plain,[-(subset(4 ^ [], 6 ^ []))],extension(5)).
% 0.78/1.42 cnf('1.2.1.1.2.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],reduction('1.2.1')).
% 0.78/1.42 cnf('1.2.1.1.2.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(10,bind([[_14931, _14987], [4 ^ [], 5 ^ []]]))).
% 0.78/1.42 cnf('1.2.1.1.2.2.1',plain,[subset(4 ^ [], 5 ^ [])],reduction('1.2')).
% 0.78/1.42 %-----------------------------------------------------
% 0.78/1.43
% 0.78/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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