TSTP Solution File: SET012+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET012+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 02:49:51 EDT 2022
% Result : Theorem 0.68s 1.41s
% Output : Proof 0.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET012+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n029.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 19:10:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.68/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/1.42
% 0.68/1.42 %-----------------------------------------------------
% 0.68/1.42 fof(thI23, conjecture, ! [_32225, _32228] : (subset(_32225, _32228) => equal_set(difference(_32228, difference(_32228, _32225)), _32225)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI23)).
% 0.68/1.42 fof(subset, axiom, ! [_32428, _32431] : (subset(_32428, _32431) <=> ! [_32449] : (member(_32449, _32428) => member(_32449, _32431))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 0.68/1.42 fof(equal_set, axiom, ! [_32658, _32661] : (equal_set(_32658, _32661) <=> subset(_32658, _32661) & subset(_32661, _32658)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.68/1.42 fof(difference, axiom, ! [_32841, _32844, _32847] : (member(_32841, difference(_32847, _32844)) <=> member(_32841, _32847) & ~ member(_32841, _32844)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', difference)).
% 0.68/1.42
% 0.68/1.42 cnf(1, plain, [-(subset(4 ^ [], 5 ^ []))], clausify(thI23)).
% 0.68/1.42 cnf(2, plain, [equal_set(difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ [])], clausify(thI23)).
% 0.68/1.42 cnf(3, plain, [-(subset(_14676, _14732)), -(member(1 ^ [_14732, _14676], _14676))], clausify(subset)).
% 0.68/1.42 cnf(4, plain, [-(subset(_14676, _14732)), member(1 ^ [_14732, _14676], _14732)], clausify(subset)).
% 0.68/1.42 cnf(5, plain, [subset(_14676, _14732), member(_14846, _14676), -(member(_14846, _14732))], clausify(subset)).
% 0.68/1.42 cnf(6, plain, [-(equal_set(_15137, _15188)), subset(_15137, _15188), subset(_15188, _15137)], clausify(equal_set)).
% 0.68/1.42 cnf(7, plain, [member(_17081, difference(_17202, _17142)), -(member(_17081, _17202))], clausify(difference)).
% 0.68/1.42 cnf(8, plain, [member(_17081, difference(_17202, _17142)), member(_17081, _17142)], clausify(difference)).
% 0.68/1.42 cnf(9, plain, [-(member(_17081, difference(_17202, _17142))), member(_17081, _17202), -(member(_17081, _17142))], clausify(difference)).
% 0.68/1.42
% 0.68/1.42 cnf('1',plain,[equal_set(difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ [])],start(2)).
% 0.68/1.42 cnf('1.1',plain,[-(equal_set(difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ [])), subset(difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []), subset(4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ [])))],extension(6,bind([[_15188, _15137], [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))]]))).
% 0.68/1.42 cnf('1.1.1',plain,[-(subset(difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ [])), -(member(1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], difference(5 ^ [], difference(5 ^ [], 4 ^ []))))],extension(3,bind([[_14732, _14676], [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))]]))).
% 0.68/1.42 cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], difference(5 ^ [], difference(5 ^ [], 4 ^ []))), member(1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], difference(5 ^ [], 4 ^ []))],extension(8,bind([[_17202, _17081, _17142], [5 ^ [], 1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], difference(5 ^ [], 4 ^ [])]]))).
% 0.68/1.42 cnf('1.1.1.1.1',plain,[-(member(1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], difference(5 ^ [], 4 ^ []))), member(1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], 5 ^ []), -(member(1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], 4 ^ []))],extension(9,bind([[_17202, _17081, _17142], [5 ^ [], 1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], 4 ^ []]]))).
% 0.68/1.42 cnf('1.1.1.1.1.1',plain,[-(member(1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], 5 ^ [])), member(1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], difference(5 ^ [], difference(5 ^ [], 4 ^ [])))],extension(7,bind([[_17081, _17202, _17142], [1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], 5 ^ [], difference(5 ^ [], 4 ^ [])]]))).
% 0.68/1.42 cnf('1.1.1.1.1.1.1',plain,[-(member(1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], difference(5 ^ [], difference(5 ^ [], 4 ^ []))))],reduction('1.1.1')).
% 0.68/1.42 cnf('1.1.1.1.1.2',plain,[member(1 ^ [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))], 4 ^ []), -(subset(difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []))],extension(4,bind([[_14676, _14732], [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []]]))).
% 0.68/1.42 cnf('1.1.1.1.1.2.1',plain,[subset(difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ [])],reduction('1.1')).
% 0.68/1.42 cnf('1.1.2',plain,[-(subset(4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ [])))), -(member(1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], 4 ^ []))],extension(3,bind([[_14732, _14676], [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []]]))).
% 0.68/1.42 cnf('1.1.2.1',plain,[member(1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], 4 ^ []), subset(4 ^ [], 5 ^ []), -(member(1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], 5 ^ []))],extension(5,bind([[_14676, _14846, _14732], [4 ^ [], 1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], 5 ^ []]]))).
% 0.68/1.42 cnf('1.1.2.1.1',plain,[-(subset(4 ^ [], 5 ^ []))],extension(1)).
% 0.68/1.42 cnf('1.1.2.1.2',plain,[member(1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], 5 ^ []), -(member(1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], difference(5 ^ [], difference(5 ^ [], 4 ^ [])))), -(member(1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], difference(5 ^ [], 4 ^ [])))],extension(9,bind([[_17202, _17081, _17142], [5 ^ [], 1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], difference(5 ^ [], 4 ^ [])]]))).
% 0.68/1.42 cnf('1.1.2.1.2.1',plain,[member(1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], difference(5 ^ [], difference(5 ^ [], 4 ^ []))), -(subset(4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))))],extension(4,bind([[_14676, _14732], [4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ []))]]))).
% 0.68/1.42 cnf('1.1.2.1.2.1.1',plain,[subset(4 ^ [], difference(5 ^ [], difference(5 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.68/1.42 cnf('1.1.2.1.2.2',plain,[member(1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], difference(5 ^ [], 4 ^ [])), member(1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], 4 ^ [])],extension(8,bind([[_17202, _17081, _17142], [5 ^ [], 1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], 4 ^ []]]))).
% 0.68/1.42 cnf('1.1.2.1.2.2.1',plain,[-(member(1 ^ [difference(5 ^ [], difference(5 ^ [], 4 ^ [])), 4 ^ []], 4 ^ []))],reduction('1.1.2')).
% 0.68/1.42 %-----------------------------------------------------
% 0.68/1.42
% 0.68/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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