TSTP Solution File: SEU147+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU147+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 12:00:27 EDT 2022
% Result : Theorem 2.10s 2.44s
% Output : Proof 2.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU147+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 05:22:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.10/2.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.10/2.45 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.10/2.45
% 2.10/2.45 %-----------------------------------------------------
% 2.10/2.45 fof(t1_zfmisc_1, conjecture, powerset(empty_set) = singleton(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_zfmisc_1)).
% 2.10/2.45 fof(d10_xboole_0, axiom, ! [_81810, _81813] : (_81810 = _81813 <=> subset(_81810, _81813) & subset(_81813, _81810)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d10_xboole_0)).
% 2.10/2.45 fof(d1_tarski, axiom, ! [_81982, _81985] : (_81985 = singleton(_81982) <=> ! [_82003] : (in(_82003, _81985) <=> _82003 = _81982)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 2.10/2.45 fof(d1_zfmisc_1, axiom, ! [_82201, _82204] : (_82204 = powerset(_82201) <=> ! [_82222] : (in(_82222, _82204) <=> subset(_82222, _82201))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 2.10/2.45 fof(d3_tarski, axiom, ! [_82436, _82439] : (subset(_82436, _82439) <=> ! [_82457] : (in(_82457, _82436) => in(_82457, _82439))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 2.10/2.45 fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_xboole_0)).
% 2.10/2.45 fof(reflexivity_r1_tarski, axiom, ! [_82722, _82725] : subset(_82722, _82722), file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 2.10/2.45 fof(t7_boole, axiom, ! [_82872, _82875] : ~ (in(_82872, _82875) & empty(_82875)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_boole)).
% 2.10/2.45
% 2.10/2.45 cnf(1, plain, [powerset(empty_set) = singleton(empty_set)], clausify(t1_zfmisc_1)).
% 2.10/2.45 cnf(2, plain, [_28587 = _28636, -(powerset(_28587) = powerset(_28636))], theory(equality)).
% 2.10/2.45 cnf(3, plain, [-(_24789 = _24789)], theory(equality)).
% 2.10/2.45 cnf(4, plain, [-(subset(_27955, _28086)), subset(_27888, _28021), _27888 = _27955, _28021 = _28086], theory(equality)).
% 2.10/2.45 cnf(5, plain, [-(_33432 = _33483), subset(_33432, _33483), subset(_33483, _33432)], clausify(d10_xboole_0)).
% 2.10/2.45 cnf(6, plain, [-(_33886 = singleton(_33828)), in(1 ^ [_33886, _33828], _33886), 1 ^ [_33886, _33828] = _33828], clausify(d1_tarski)).
% 2.10/2.45 cnf(7, plain, [-(_33886 = singleton(_33828)), -(in(1 ^ [_33886, _33828], _33886)), -(1 ^ [_33886, _33828] = _33828)], clausify(d1_tarski)).
% 2.10/2.45 cnf(8, plain, [_34691 = powerset(_34633), in(_34823, _34691), -(subset(_34823, _34633))], clausify(d1_zfmisc_1)).
% 2.10/2.45 cnf(9, plain, [_34691 = powerset(_34633), -(in(_34823, _34691)), subset(_34823, _34633)], clausify(d1_zfmisc_1)).
% 2.10/2.45 cnf(10, plain, [-(subset(_36484, _36540)), -(in(6 ^ [_36540, _36484], _36484))], clausify(d3_tarski)).
% 2.10/2.45 cnf(11, plain, [-(empty(empty_set))], clausify(fc1_xboole_0)).
% 2.10/2.45 cnf(12, plain, [-(subset(_43811, _43811))], clausify(reflexivity_r1_tarski)).
% 2.10/2.45 cnf(13, plain, [in(_53955, _54001), empty(_54001)], clausify(t7_boole)).
% 2.10/2.45
% 2.10/2.45 cnf('1',plain,[powerset(empty_set) = singleton(empty_set)],start(1)).
% 2.10/2.45 cnf('1.1',plain,[-(powerset(empty_set) = singleton(empty_set)), in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set)), 1 ^ [powerset(empty_set), empty_set] = empty_set],extension(6,bind([[_33886, _33828], [powerset(empty_set), empty_set]]))).
% 2.10/2.45 cnf('1.1.1',plain,[-(in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set))), powerset(empty_set) = powerset(empty_set), subset(1 ^ [powerset(empty_set), empty_set], empty_set)],extension(9,bind([[_34691, _34823, _34633], [powerset(empty_set), 1 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 2.10/2.45 cnf('1.1.1.1',plain,[-(powerset(empty_set) = powerset(empty_set)), empty_set = empty_set],extension(2,bind([[_28587, _28636], [empty_set, empty_set]]))).
% 2.10/2.45 cnf('1.1.1.1.1',plain,[-(empty_set = empty_set)],extension(3,bind([[_24789], [empty_set]]))).
% 2.10/2.45 cnf('1.1.1.2',plain,[-(subset(1 ^ [powerset(empty_set), empty_set], empty_set)), subset(1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set]), 1 ^ [powerset(empty_set), empty_set] = 1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set] = empty_set],extension(4,bind([[_27888, _27955, _28021, _28086], [1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 2.10/2.45 cnf('1.1.1.2.1',plain,[-(subset(1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set]))],extension(12,bind([[_43811], [1 ^ [powerset(empty_set), empty_set]]]))).
% 2.10/2.45 cnf('1.1.1.2.2',plain,[-(1 ^ [powerset(empty_set), empty_set] = 1 ^ [powerset(empty_set), empty_set])],extension(3,bind([[_24789], [1 ^ [powerset(empty_set), empty_set]]]))).
% 2.10/2.45 cnf('1.1.1.2.3',plain,[-(1 ^ [powerset(empty_set), empty_set] = empty_set), -(powerset(empty_set) = singleton(empty_set)), -(in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set)))],extension(7,bind([[_33828, _33886], [empty_set, powerset(empty_set)]]))).
% 2.10/2.45 cnf('1.1.1.2.3.1',plain,[powerset(empty_set) = singleton(empty_set)],extension(1)).
% 2.10/2.45 cnf('1.1.1.2.3.2',plain,[in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set))],reduction('1.1')).
% 2.10/2.45 cnf('1.1.2',plain,[-(1 ^ [powerset(empty_set), empty_set] = empty_set), subset(1 ^ [powerset(empty_set), empty_set], empty_set), subset(empty_set, 1 ^ [powerset(empty_set), empty_set])],extension(5,bind([[_33483, _33432], [empty_set, 1 ^ [powerset(empty_set), empty_set]]]))).
% 2.10/2.45 cnf('1.1.2.1',plain,[-(subset(1 ^ [powerset(empty_set), empty_set], empty_set)), powerset(empty_set) = powerset(empty_set), in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set))],extension(8,bind([[_34633, _34823, _34691], [empty_set, 1 ^ [powerset(empty_set), empty_set], powerset(empty_set)]]))).
% 2.10/2.45 cnf('1.1.2.1.1',plain,[-(powerset(empty_set) = powerset(empty_set))],extension(3,bind([[_24789], [powerset(empty_set)]]))).
% 2.10/2.45 cnf('1.1.2.1.2',plain,[-(in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set)))],lemmata('1.1')).
% 2.10/2.45 cnf('1.1.2.2',plain,[-(subset(empty_set, 1 ^ [powerset(empty_set), empty_set])), -(in(6 ^ [1 ^ [powerset(empty_set), empty_set], empty_set], empty_set))],extension(10,bind([[_36540, _36484], [1 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 2.10/2.45 cnf('1.1.2.2.1',plain,[in(6 ^ [1 ^ [powerset(empty_set), empty_set], empty_set], empty_set), empty(empty_set)],extension(13,bind([[_53955, _54001], [6 ^ [1 ^ [powerset(empty_set), empty_set], empty_set], empty_set]]))).
% 2.10/2.45 cnf('1.1.2.2.1.1',plain,[-(empty(empty_set))],extension(11)).
% 2.10/2.45 %-----------------------------------------------------
% 2.10/2.46
% 2.10/2.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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