TSTP Solution File: SEU164+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU164+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU164+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n018.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 : Mon Jun 20 06:17:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.41 fof(t99_zfmisc_1, conjecture, ! [_24717] : union(powerset(_24717)) = _24717, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t99_zfmisc_1)).
% 0.38/1.41 fof(d1_zfmisc_1, axiom, ! [_24873, _24876] : (_24876 = powerset(_24873) <=> ! [_24894] : (in(_24894, _24876) <=> subset(_24894, _24873))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 0.38/1.41 fof(d3_tarski, axiom, ! [_25098, _25101] : (subset(_25098, _25101) <=> ! [_25119] : (in(_25119, _25098) => in(_25119, _25101))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.38/1.41 fof(d4_tarski, axiom, ! [_25305, _25308] : (_25308 = union(_25305) <=> ! [_25326] : (in(_25326, _25308) <=> ? [_25344] : (in(_25326, _25344) & in(_25344, _25305)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_tarski)).
% 0.38/1.41 fof(reflexivity_r1_tarski, axiom, ! [_25598, _25601] : subset(_25598, _25598), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 0.38/1.41
% 0.38/1.41 cnf(1, plain, [union(powerset(8 ^ [])) = 8 ^ []], clausify(t99_zfmisc_1)).
% 0.38/1.41 cnf(2, plain, [-(_6343 = _6343)], theory(equality)).
% 0.38/1.41 cnf(3, plain, [_6496 = _6541, -(_6541 = _6496)], theory(equality)).
% 0.38/1.41 cnf(4, plain, [_10431 = powerset(_10373), in(_10563, _10431), -(subset(_10563, _10373))], clausify(d1_zfmisc_1)).
% 0.38/1.41 cnf(5, plain, [_10431 = powerset(_10373), -(in(_10563, _10431)), subset(_10563, _10373)], clausify(d1_zfmisc_1)).
% 0.38/1.41 cnf(6, plain, [subset(_10854, _10910), in(_11024, _10854), -(in(_11024, _10910))], clausify(d3_tarski)).
% 0.38/1.41 cnf(7, plain, [-(_11384 = union(_11315)), -(in(5 ^ [_11384, _11315], _11384)), -(in(5 ^ [_11384, _11315], 6 ^ [_11384, _11315]))], clausify(d4_tarski)).
% 0.38/1.41 cnf(8, plain, [-(_11384 = union(_11315)), -(in(5 ^ [_11384, _11315], _11384)), -(in(6 ^ [_11384, _11315], _11315))], clausify(d4_tarski)).
% 0.38/1.41 cnf(9, plain, [-(_11384 = union(_11315)), in(5 ^ [_11384, _11315], _11384), in(5 ^ [_11384, _11315], _14970), in(_14970, _11315)], clausify(d4_tarski)).
% 0.38/1.41 cnf(10, plain, [-(subset(_12692, _12692))], clausify(reflexivity_r1_tarski)).
% 0.38/1.41
% 0.38/1.41 cnf('1',plain,[union(powerset(8 ^ [])) = 8 ^ []],start(1)).
% 0.38/1.41 cnf('1.1',plain,[-(union(powerset(8 ^ [])) = 8 ^ []), 8 ^ [] = union(powerset(8 ^ []))],extension(3,bind([[_6496, _6541], [8 ^ [], union(powerset(8 ^ []))]]))).
% 0.38/1.41 cnf('1.1.1',plain,[-(8 ^ [] = union(powerset(8 ^ []))), -(in(5 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ [])), -(in(5 ^ [8 ^ [], powerset(8 ^ [])], 6 ^ [8 ^ [], powerset(8 ^ [])]))],extension(7,bind([[_11384, _11315], [8 ^ [], powerset(8 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1.1',plain,[in(5 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ []), -(8 ^ [] = union(powerset(8 ^ []))), in(5 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ []), in(8 ^ [], powerset(8 ^ []))],extension(9,bind([[_11384, _14970, _11315], [8 ^ [], 8 ^ [], powerset(8 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1.1.1',plain,[8 ^ [] = union(powerset(8 ^ []))],reduction('1.1')).
% 0.38/1.41 cnf('1.1.1.1.2',plain,[-(in(5 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ []))],reduction('1.1.1')).
% 0.38/1.41 cnf('1.1.1.1.3',plain,[-(in(8 ^ [], powerset(8 ^ []))), powerset(8 ^ []) = powerset(8 ^ []), subset(8 ^ [], 8 ^ [])],extension(5,bind([[_10431, _10563, _10373], [powerset(8 ^ []), 8 ^ [], 8 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.1.3.1',plain,[-(powerset(8 ^ []) = powerset(8 ^ []))],extension(2,bind([[_6343], [powerset(8 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1.1.3.2',plain,[-(subset(8 ^ [], 8 ^ []))],extension(10,bind([[_12692], [8 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.2',plain,[in(5 ^ [8 ^ [], powerset(8 ^ [])], 6 ^ [8 ^ [], powerset(8 ^ [])]), subset(6 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ []), -(in(5 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ []))],extension(6,bind([[_10854, _11024, _10910], [6 ^ [8 ^ [], powerset(8 ^ [])], 5 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.2.1',plain,[-(subset(6 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ [])), powerset(8 ^ []) = powerset(8 ^ []), in(6 ^ [8 ^ [], powerset(8 ^ [])], powerset(8 ^ []))],extension(4,bind([[_10373, _10563, _10431], [8 ^ [], 6 ^ [8 ^ [], powerset(8 ^ [])], powerset(8 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1.2.1.1',plain,[-(powerset(8 ^ []) = powerset(8 ^ []))],extension(2,bind([[_6343], [powerset(8 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1.2.1.2',plain,[-(in(6 ^ [8 ^ [], powerset(8 ^ [])], powerset(8 ^ []))), -(8 ^ [] = union(powerset(8 ^ []))), -(in(5 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ []))],extension(8,bind([[_11315, _11384], [powerset(8 ^ []), 8 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.2.1.2.1',plain,[8 ^ [] = union(powerset(8 ^ []))],reduction('1.1')).
% 0.38/1.41 cnf('1.1.1.2.1.2.2',plain,[in(5 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ [])],lemmata('1.1.1')).
% 0.38/1.41 cnf('1.1.1.2.2',plain,[in(5 ^ [8 ^ [], powerset(8 ^ [])], 8 ^ [])],lemmata('1.1.1')).
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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