TSTP Solution File: SEU173+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU173+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 12:00:44 EDT 2022
% Result : Theorem 83.42s 81.01s
% Output : Proof 83.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU173+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n011.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 23:01:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 83.42/81.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 83.42/81.01 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 83.42/81.02
% 83.42/81.02 %-----------------------------------------------------
% 83.42/81.02 fof(l71_subset_1, conjecture, ! [_141357, _141360] : (! [_141368] : (in(_141368, _141357) => in(_141368, _141360)) => element(_141357, powerset(_141360))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l71_subset_1)).
% 83.42/81.02 fof(antisymmetry_r2_hidden, axiom, ! [_141634, _141637] : (in(_141634, _141637) => ~ in(_141637, _141634)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', antisymmetry_r2_hidden)).
% 83.42/81.02 fof(d1_zfmisc_1, axiom, ! [_141801, _141804] : (_141804 = powerset(_141801) <=> ! [_141822] : (in(_141822, _141804) <=> subset(_141822, _141801))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 83.42/81.02 fof(d2_subset_1, axiom, ! [_142013, _142016] : ((~ empty(_142013) => (element(_142016, _142013) <=> in(_142016, _142013))) & (empty(_142013) => (element(_142016, _142013) <=> empty(_142016)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_subset_1)).
% 83.42/81.02 fof(d3_tarski, axiom, ! [_142290, _142293] : (subset(_142290, _142293) <=> ! [_142311] : (in(_142311, _142290) => in(_142311, _142293))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 83.42/81.02 fof(l3_subset_1, lemma, ! [_142551, _142554] : (element(_142554, powerset(_142551)) => ! [_142576] : (in(_142576, _142554) => in(_142576, _142551))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l3_subset_1)).
% 83.42/81.02 fof(reflexivity_r1_tarski, axiom, ! [_142778, _142781] : subset(_142778, _142778), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 83.42/81.02
% 83.42/81.02 cnf(1, plain, [element(28 ^ [], powerset(29 ^ []))], clausify(l71_subset_1)).
% 83.42/81.02 cnf(2, plain, [in(_114167, 28 ^ []), -(in(_114167, 29 ^ []))], clausify(l71_subset_1)).
% 83.42/81.02 cnf(3, plain, [_51211 = _51260, -(powerset(_51211) = powerset(_51260))], theory(equality)).
% 83.42/81.02 cnf(4, plain, [-(_44887 = _44887)], theory(equality)).
% 83.42/81.02 cnf(5, plain, [-(in(_48063, _48194)), in(_47996, _48129), _47996 = _48063, _48129 = _48194], theory(equality)).
% 83.42/81.02 cnf(6, plain, [in(_55479, _55526), in(_55526, _55479)], clausify(antisymmetry_r2_hidden)).
% 83.42/81.02 cnf(7, plain, [_58328 = powerset(_58270), -(in(_58460, _58328)), subset(_58460, _58270)], clausify(d1_zfmisc_1)).
% 83.42/81.02 cnf(8, plain, [-(empty(_58751)), -(element(_58819, _58751)), in(_58819, _58751)], clausify(d2_subset_1)).
% 83.42/81.02 cnf(9, plain, [empty(_58751), -(element(_58819, _58751)), empty(_58819)], clausify(d2_subset_1)).
% 83.42/81.02 cnf(10, plain, [-(subset(_61753, _61809)), -(in(11 ^ [_61809, _61753], _61753))], clausify(d3_tarski)).
% 83.42/81.02 cnf(11, plain, [-(subset(_61753, _61809)), in(11 ^ [_61809, _61753], _61809)], clausify(d3_tarski)).
% 83.42/81.02 cnf(12, plain, [element(_72371, powerset(_72313)), in(_72503, _72371), -(in(_72503, _72313))], clausify(l3_subset_1)).
% 83.42/81.02 cnf(13, plain, [-(subset(_75776, _75776))], clausify(reflexivity_r1_tarski)).
% 83.42/81.02
% 83.42/81.02 cnf('1',plain,[element(28 ^ [], powerset(29 ^ []))],start(1)).
% 83.42/81.02 cnf('1.1',plain,[-(element(28 ^ [], powerset(29 ^ []))), -(empty(powerset(29 ^ []))), in(28 ^ [], powerset(29 ^ []))],extension(8,bind([[_58819, _58751], [28 ^ [], powerset(29 ^ [])]]))).
% 83.42/81.02 cnf('1.1.1',plain,[empty(powerset(29 ^ [])), empty(powerset(29 ^ [])), -(element(powerset(29 ^ []), powerset(29 ^ [])))],extension(9,bind([[_58819, _58751], [powerset(29 ^ []), powerset(29 ^ [])]]))).
% 83.42/81.02 cnf('1.1.1.1',plain,[-(empty(powerset(29 ^ [])))],reduction('1.1')).
% 83.42/81.02 cnf('1.1.1.2',plain,[element(powerset(29 ^ []), powerset(29 ^ [])), in(29 ^ [], powerset(29 ^ [])), -(in(29 ^ [], 29 ^ []))],extension(12,bind([[_72371, _72503, _72313], [powerset(29 ^ []), 29 ^ [], 29 ^ []]]))).
% 83.42/81.02 cnf('1.1.1.2.1',plain,[-(in(29 ^ [], powerset(29 ^ []))), powerset(29 ^ []) = powerset(29 ^ []), subset(29 ^ [], 29 ^ [])],extension(7,bind([[_58328, _58460, _58270], [powerset(29 ^ []), 29 ^ [], 29 ^ []]]))).
% 83.42/81.02 cnf('1.1.1.2.1.1',plain,[-(powerset(29 ^ []) = powerset(29 ^ []))],extension(4,bind([[_44887], [powerset(29 ^ [])]]))).
% 83.42/81.02 cnf('1.1.1.2.1.2',plain,[-(subset(29 ^ [], 29 ^ []))],extension(13,bind([[_75776], [29 ^ []]]))).
% 83.42/81.02 cnf('1.1.1.2.2',plain,[in(29 ^ [], 29 ^ []), -(in(29 ^ [], 29 ^ [])), 29 ^ [] = 29 ^ [], 29 ^ [] = 29 ^ []],extension(5,bind([[_47996, _48063, _48129, _48194], [29 ^ [], 29 ^ [], 29 ^ [], 29 ^ []]]))).
% 83.42/81.02 cnf('1.1.1.2.2.1',plain,[in(29 ^ [], 29 ^ []), in(29 ^ [], 29 ^ [])],extension(6,bind([[_55526, _55479], [29 ^ [], 29 ^ []]]))).
% 83.42/81.02 cnf('1.1.1.2.2.1.1',plain,[-(in(29 ^ [], 29 ^ []))],reduction('1.1.1.2.2')).
% 83.42/81.02 cnf('1.1.1.2.2.2',plain,[-(29 ^ [] = 29 ^ [])],extension(4,bind([[_44887], [29 ^ []]]))).
% 83.42/81.02 cnf('1.1.1.2.2.3',plain,[-(29 ^ [] = 29 ^ [])],extension(4,bind([[_44887], [29 ^ []]]))).
% 83.42/81.02 cnf('1.1.2',plain,[-(in(28 ^ [], powerset(29 ^ []))), powerset(29 ^ []) = powerset(29 ^ []), subset(28 ^ [], 29 ^ [])],extension(7,bind([[_58328, _58460, _58270], [powerset(29 ^ []), 28 ^ [], 29 ^ []]]))).
% 83.42/81.02 cnf('1.1.2.1',plain,[-(powerset(29 ^ []) = powerset(29 ^ [])), 29 ^ [] = 29 ^ []],extension(3,bind([[_51211, _51260], [29 ^ [], 29 ^ []]]))).
% 83.42/81.02 cnf('1.1.2.1.1',plain,[-(29 ^ [] = 29 ^ [])],extension(4,bind([[_44887], [29 ^ []]]))).
% 83.42/81.02 cnf('1.1.2.2',plain,[-(subset(28 ^ [], 29 ^ [])), -(in(11 ^ [29 ^ [], 28 ^ []], 28 ^ []))],extension(10,bind([[_61809, _61753], [29 ^ [], 28 ^ []]]))).
% 83.42/81.02 cnf('1.1.2.2.1',plain,[in(11 ^ [29 ^ [], 28 ^ []], 28 ^ []), -(in(11 ^ [29 ^ [], 28 ^ []], 29 ^ []))],extension(2,bind([[_114167], [11 ^ [29 ^ [], 28 ^ []]]]))).
% 83.42/81.02 cnf('1.1.2.2.1.1',plain,[in(11 ^ [29 ^ [], 28 ^ []], 29 ^ []), -(subset(28 ^ [], 29 ^ []))],extension(11,bind([[_61753, _61809], [28 ^ [], 29 ^ []]]))).
% 83.42/81.02 cnf('1.1.2.2.1.1.1',plain,[subset(28 ^ [], 29 ^ [])],reduction('1.1.2')).
% 83.42/81.02 %-----------------------------------------------------
% 83.42/81.02
% 83.42/81.03 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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