TSTP Solution File: SEU164+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU164+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 12:00:38 EDT 2022
% Result : Theorem 109.93s 80.14s
% Output : Proof 109.93s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU164+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n022.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 : Mon Jun 20 08:00:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 109.93/80.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 109.93/80.14 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 109.93/80.15
% 109.93/80.15 %-----------------------------------------------------
% 109.93/80.15 fof(t99_zfmisc_1, conjecture, ! [_110410] : union(powerset(_110410)) = _110410, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t99_zfmisc_1)).
% 109.93/80.15 fof(d1_zfmisc_1, axiom, ! [_110584, _110587] : (_110587 = powerset(_110584) <=> ! [_110605] : (in(_110605, _110587) <=> subset(_110605, _110584))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 109.93/80.15 fof(d3_tarski, axiom, ! [_110829, _110832] : (subset(_110829, _110832) <=> ! [_110850] : (in(_110850, _110829) => in(_110850, _110832))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 109.93/80.15 fof(d4_tarski, axiom, ! [_111042, _111045] : (_111045 = union(_111042) <=> ! [_111063] : (in(_111063, _111045) <=> ? [_111081] : (in(_111063, _111081) & in(_111081, _111042)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_tarski)).
% 109.93/80.15 fof(reflexivity_r1_tarski, axiom, ! [_111370, _111373] : subset(_111370, _111370), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 109.93/80.15
% 109.93/80.15 cnf(1, plain, [union(powerset(22 ^ [])) = 22 ^ []], clausify(t99_zfmisc_1)).
% 109.93/80.15 cnf(2, plain, [-(_34062 = _34062)], theory(equality)).
% 109.93/80.15 cnf(3, plain, [_34215 = _34260, -(_34260 = _34215)], theory(equality)).
% 109.93/80.15 cnf(4, plain, [_45586 = powerset(_45528), in(_45718, _45586), -(subset(_45718, _45528))], clausify(d1_zfmisc_1)).
% 109.93/80.15 cnf(5, plain, [_45586 = powerset(_45528), -(in(_45718, _45586)), subset(_45718, _45528)], clausify(d1_zfmisc_1)).
% 109.93/80.15 cnf(6, plain, [subset(_48406, _48462), in(_48576, _48406), -(in(_48576, _48462))], clausify(d3_tarski)).
% 109.93/80.15 cnf(7, plain, [-(_49621 = union(_49552)), -(in(14 ^ [_49621, _49552], _49621)), -(in(14 ^ [_49621, _49552], 15 ^ [_49621, _49552]))], clausify(d4_tarski)).
% 109.93/80.15 cnf(8, plain, [-(_49621 = union(_49552)), -(in(14 ^ [_49621, _49552], _49621)), -(in(15 ^ [_49621, _49552], _49552))], clausify(d4_tarski)).
% 109.93/80.15 cnf(9, plain, [-(_49621 = union(_49552)), in(14 ^ [_49621, _49552], _49621), in(14 ^ [_49621, _49552], _81855), in(_81855, _49552)], clausify(d4_tarski)).
% 109.93/80.15 cnf(10, plain, [-(subset(_59465, _59465))], clausify(reflexivity_r1_tarski)).
% 109.93/80.15
% 109.93/80.15 cnf('1',plain,[union(powerset(22 ^ [])) = 22 ^ []],start(1)).
% 109.93/80.15 cnf('1.1',plain,[-(union(powerset(22 ^ [])) = 22 ^ []), 22 ^ [] = union(powerset(22 ^ []))],extension(3,bind([[_34215, _34260], [22 ^ [], union(powerset(22 ^ []))]]))).
% 109.93/80.15 cnf('1.1.1',plain,[-(22 ^ [] = union(powerset(22 ^ []))), -(in(14 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ [])), -(in(15 ^ [22 ^ [], powerset(22 ^ [])], powerset(22 ^ [])))],extension(8,bind([[_49621, _49552], [22 ^ [], powerset(22 ^ [])]]))).
% 109.93/80.15 cnf('1.1.1.1',plain,[in(14 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ []), -(22 ^ [] = union(powerset(22 ^ []))), in(14 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ []), in(22 ^ [], powerset(22 ^ []))],extension(9,bind([[_49621, _81855, _49552], [22 ^ [], 22 ^ [], powerset(22 ^ [])]]))).
% 109.93/80.15 cnf('1.1.1.1.1',plain,[22 ^ [] = union(powerset(22 ^ []))],reduction('1.1')).
% 109.93/80.15 cnf('1.1.1.1.2',plain,[-(in(14 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ []))],reduction('1.1.1')).
% 109.93/80.15 cnf('1.1.1.1.3',plain,[-(in(22 ^ [], powerset(22 ^ []))), powerset(22 ^ []) = powerset(22 ^ []), subset(22 ^ [], 22 ^ [])],extension(5,bind([[_45586, _45718, _45528], [powerset(22 ^ []), 22 ^ [], 22 ^ []]]))).
% 109.93/80.15 cnf('1.1.1.1.3.1',plain,[-(powerset(22 ^ []) = powerset(22 ^ []))],extension(2,bind([[_34062], [powerset(22 ^ [])]]))).
% 109.93/80.15 cnf('1.1.1.1.3.2',plain,[-(subset(22 ^ [], 22 ^ []))],extension(10,bind([[_59465], [22 ^ []]]))).
% 109.93/80.15 cnf('1.1.1.2',plain,[in(15 ^ [22 ^ [], powerset(22 ^ [])], powerset(22 ^ [])), powerset(22 ^ []) = powerset(22 ^ []), -(subset(15 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ []))],extension(4,bind([[_45586, _45718, _45528], [powerset(22 ^ []), 15 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ []]]))).
% 109.93/80.15 cnf('1.1.1.2.1',plain,[-(powerset(22 ^ []) = powerset(22 ^ []))],extension(2,bind([[_34062], [powerset(22 ^ [])]]))).
% 109.93/80.15 cnf('1.1.1.2.2',plain,[subset(15 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ []), in(14 ^ [22 ^ [], powerset(22 ^ [])], 15 ^ [22 ^ [], powerset(22 ^ [])]), -(in(14 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ []))],extension(6,bind([[_48406, _48576, _48462], [15 ^ [22 ^ [], powerset(22 ^ [])], 14 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ []]]))).
% 109.93/80.15 cnf('1.1.1.2.2.1',plain,[-(in(14 ^ [22 ^ [], powerset(22 ^ [])], 15 ^ [22 ^ [], powerset(22 ^ [])])), -(22 ^ [] = union(powerset(22 ^ []))), -(in(14 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ []))],extension(7,bind([[_49552, _49621], [powerset(22 ^ []), 22 ^ []]]))).
% 109.93/80.15 cnf('1.1.1.2.2.1.1',plain,[22 ^ [] = union(powerset(22 ^ []))],reduction('1.1')).
% 109.93/80.15 cnf('1.1.1.2.2.1.2',plain,[in(14 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ [])],lemmata('1.1.1')).
% 109.93/80.15 cnf('1.1.1.2.2.2',plain,[in(14 ^ [22 ^ [], powerset(22 ^ [])], 22 ^ [])],lemmata('1.1.1')).
% 109.93/80.15 %-----------------------------------------------------
% 109.93/80.15
% 109.93/80.16 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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