TSTP Solution File: SET591+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET591+3 : 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 02:54:28 EDT 2022
% Result : Theorem 0.34s 1.42s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Sun Jul 10 12:38:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.43
% 0.34/1.43 %-----------------------------------------------------
% 0.34/1.43 fof(prove_th50, conjecture, ! [_16592, _16595] : (subset(_16592, difference(_16595, _16592)) => _16592 = empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th50)).
% 0.34/1.43 fof(subset_defn, axiom, ! [_16768, _16771] : (subset(_16768, _16771) <=> ! [_16789] : (member(_16789, _16768) => member(_16789, _16771))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.34/1.43 fof(difference_defn, axiom, ! [_16986, _16989, _16992] : (member(_16992, difference(_16986, _16989)) <=> member(_16992, _16986) & ~ member(_16992, _16989)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 0.34/1.43 fof(empty_set_defn, axiom, ! [_17195] : ~ member(_17195, empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_set_defn)).
% 0.34/1.43 fof(equal_defn, axiom, ! [_17314, _17317] : (_17314 = _17317 <=> subset(_17314, _17317) & subset(_17317, _17314)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_defn)).
% 0.34/1.43
% 0.34/1.43 cnf(1, plain, [-(subset(3 ^ [], difference(4 ^ [], 3 ^ [])))], clausify(prove_th50)).
% 0.34/1.43 cnf(2, plain, [3 ^ [] = empty_set], clausify(prove_th50)).
% 0.34/1.43 cnf(3, plain, [-(subset(_8258, _8314)), -(member(1 ^ [_8314, _8258], _8258))], clausify(subset_defn)).
% 0.34/1.43 cnf(4, plain, [subset(_8258, _8314), member(_8428, _8258), -(member(_8428, _8314))], clausify(subset_defn)).
% 0.34/1.43 cnf(5, plain, [member(_8840, difference(_8719, _8780)), member(_8840, _8780)], clausify(difference_defn)).
% 0.34/1.43 cnf(6, plain, [member(_9254, empty_set)], clausify(empty_set_defn)).
% 0.34/1.43 cnf(7, plain, [-(_9446 = _9497), subset(_9446, _9497), subset(_9497, _9446)], clausify(equal_defn)).
% 0.34/1.43
% 0.34/1.43 cnf('1',plain,[3 ^ [] = empty_set],start(2)).
% 0.34/1.43 cnf('1.1',plain,[-(3 ^ [] = empty_set), subset(3 ^ [], empty_set), subset(empty_set, 3 ^ [])],extension(7,bind([[_9497, _9446], [empty_set, 3 ^ []]]))).
% 0.34/1.43 cnf('1.1.1',plain,[-(subset(3 ^ [], empty_set)), -(member(1 ^ [empty_set, 3 ^ []], 3 ^ []))],extension(3,bind([[_8314, _8258], [empty_set, 3 ^ []]]))).
% 0.34/1.43 cnf('1.1.1.1',plain,[member(1 ^ [empty_set, 3 ^ []], 3 ^ []), subset(3 ^ [], difference(4 ^ [], 3 ^ [])), -(member(1 ^ [empty_set, 3 ^ []], difference(4 ^ [], 3 ^ [])))],extension(4,bind([[_8258, _8428, _8314], [3 ^ [], 1 ^ [empty_set, 3 ^ []], difference(4 ^ [], 3 ^ [])]]))).
% 0.34/1.43 cnf('1.1.1.1.1',plain,[-(subset(3 ^ [], difference(4 ^ [], 3 ^ [])))],extension(1)).
% 0.34/1.43 cnf('1.1.1.1.2',plain,[member(1 ^ [empty_set, 3 ^ []], difference(4 ^ [], 3 ^ [])), member(1 ^ [empty_set, 3 ^ []], 3 ^ [])],extension(5,bind([[_8719, _8840, _8780], [4 ^ [], 1 ^ [empty_set, 3 ^ []], 3 ^ []]]))).
% 0.34/1.43 cnf('1.1.1.1.2.1',plain,[-(member(1 ^ [empty_set, 3 ^ []], 3 ^ []))],reduction('1.1.1')).
% 0.34/1.43 cnf('1.1.2',plain,[-(subset(empty_set, 3 ^ [])), -(member(1 ^ [3 ^ [], empty_set], empty_set))],extension(3,bind([[_8314, _8258], [3 ^ [], empty_set]]))).
% 0.34/1.43 cnf('1.1.2.1',plain,[member(1 ^ [3 ^ [], empty_set], empty_set)],extension(6,bind([[_9254], [1 ^ [3 ^ [], empty_set]]]))).
% 0.34/1.43 %-----------------------------------------------------
% 0.34/1.44
% 0.34/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------