TSTP Solution File: NUM390+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM390+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Mon Jul 18 11:40:29 EDT 2022
% Result : Theorem 0.39s 1.42s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM390+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.35 % Computer : n011.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Wed Jul 6 07:05:53 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.39/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.43
% 0.39/1.43 %-----------------------------------------------------
% 0.39/1.43 fof(t22_ordinal1, conjecture, ! [_49558] : (epsilon_transitive(_49558) => ! [_49573] : (ordinal(_49573) => ! [_49588] : (ordinal(_49588) => subset(_49558, _49573) & in(_49573, _49588) => in(_49558, _49588)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t22_ordinal1)).
% 0.39/1.43 fof(cc1_ordinal1, axiom, ! [_49942] : (ordinal(_49942) => epsilon_transitive(_49942) & epsilon_connected(_49942)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_ordinal1)).
% 0.39/1.43 fof(d2_ordinal1, axiom, ! [_50090] : (epsilon_transitive(_50090) <=> ! [_50105] : (in(_50105, _50090) => subset(_50105, _50090))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_ordinal1)).
% 0.39/1.43 fof(d8_xboole_0, axiom, ! [_50278, _50281] : (proper_subset(_50278, _50281) <=> subset(_50278, _50281) & (! _50278) = _50281), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_xboole_0)).
% 0.39/1.43 fof(t1_xboole_1, axiom, ! [_50490, _50493, _50496] : (subset(_50490, _50493) & subset(_50493, _50496) => subset(_50490, _50496)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_xboole_1)).
% 0.39/1.43 fof(t21_ordinal1, axiom, ! [_50675] : (epsilon_transitive(_50675) => ! [_50690] : (ordinal(_50690) => proper_subset(_50675, _50690) => in(_50675, _50690))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_ordinal1)).
% 0.39/1.43 fof(t7_ordinal1, axiom, ! [_50889, _50892] : ~ (in(_50889, _50892) & subset(_50892, _50889)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_ordinal1)).
% 0.39/1.43
% 0.39/1.43 cnf(1, plain, [-(epsilon_transitive(14 ^ []))], clausify(t22_ordinal1)).
% 0.39/1.43 cnf(2, plain, [-(ordinal(16 ^ []))], clausify(t22_ordinal1)).
% 0.39/1.43 cnf(3, plain, [-(subset(14 ^ [], 15 ^ []))], clausify(t22_ordinal1)).
% 0.39/1.43 cnf(4, plain, [-(in(15 ^ [], 16 ^ []))], clausify(t22_ordinal1)).
% 0.39/1.43 cnf(5, plain, [in(14 ^ [], 16 ^ [])], clausify(t22_ordinal1)).
% 0.39/1.43 cnf(6, plain, [-(_15299 = _15299)], theory(equality)).
% 0.39/1.43 cnf(7, plain, [-(_15731 = _15842), _15731 = _15787, _15787 = _15842], theory(equality)).
% 0.39/1.43 cnf(8, plain, [-(subset(_21097, _21228)), subset(_21030, _21163), _21030 = _21097, _21163 = _21228], theory(equality)).
% 0.39/1.43 cnf(9, plain, [ordinal(_23074), -(epsilon_transitive(_23074))], clausify(cc1_ordinal1)).
% 0.39/1.43 cnf(10, plain, [epsilon_transitive(_24262), in(_24350, _24262), -(subset(_24350, _24262))], clausify(d2_ordinal1)).
% 0.39/1.43 cnf(11, plain, [-(proper_subset(_24630, _24683)), subset(_24630, _24683), -(_24630 = _24683)], clausify(d8_xboole_0)).
% 0.39/1.43 cnf(12, plain, [-(subset(_29075, _29186)), subset(_29075, _29131), subset(_29131, _29186)], clausify(t1_xboole_1)).
% 0.39/1.43 cnf(13, plain, [epsilon_transitive(_29542), ordinal(_29635), proper_subset(_29542, _29635), -(in(_29542, _29635))], clausify(t21_ordinal1)).
% 0.39/1.43 cnf(14, plain, [in(_32191, _32238), subset(_32238, _32191)], clausify(t7_ordinal1)).
% 0.39/1.43
% 0.39/1.43 cnf('1',plain,[in(14 ^ [], 16 ^ [])],start(5)).
% 0.39/1.43 cnf('1.1',plain,[-(in(14 ^ [], 16 ^ [])), epsilon_transitive(14 ^ []), ordinal(16 ^ []), proper_subset(14 ^ [], 16 ^ [])],extension(13,bind([[_29542, _29635], [14 ^ [], 16 ^ []]]))).
% 0.39/1.43 cnf('1.1.1',plain,[-(epsilon_transitive(14 ^ []))],extension(1)).
% 0.39/1.43 cnf('1.1.2',plain,[-(ordinal(16 ^ []))],extension(2)).
% 0.39/1.43 cnf('1.1.3',plain,[-(proper_subset(14 ^ [], 16 ^ [])), subset(14 ^ [], 16 ^ []), -(14 ^ [] = 16 ^ [])],extension(11,bind([[_24630, _24683], [14 ^ [], 16 ^ []]]))).
% 0.39/1.43 cnf('1.1.3.1',plain,[-(subset(14 ^ [], 16 ^ [])), subset(14 ^ [], 15 ^ []), subset(15 ^ [], 16 ^ [])],extension(12,bind([[_29075, _29131, _29186], [14 ^ [], 15 ^ [], 16 ^ []]]))).
% 0.39/1.43 cnf('1.1.3.1.1',plain,[-(subset(14 ^ [], 15 ^ []))],extension(3)).
% 0.39/1.43 cnf('1.1.3.1.2',plain,[-(subset(15 ^ [], 16 ^ [])), epsilon_transitive(16 ^ []), in(15 ^ [], 16 ^ [])],extension(10,bind([[_24350, _24262], [15 ^ [], 16 ^ []]]))).
% 0.39/1.43 cnf('1.1.3.1.2.1',plain,[-(epsilon_transitive(16 ^ [])), ordinal(16 ^ [])],extension(9,bind([[_23074], [16 ^ []]]))).
% 0.39/1.43 cnf('1.1.3.1.2.1.1',plain,[-(ordinal(16 ^ []))],extension(2)).
% 0.39/1.43 cnf('1.1.3.1.2.2',plain,[-(in(15 ^ [], 16 ^ []))],extension(4)).
% 0.39/1.43 cnf('1.1.3.2',plain,[14 ^ [] = 16 ^ [], -(14 ^ [] = 16 ^ []), 16 ^ [] = 16 ^ []],extension(7,bind([[_15731, _15787, _15842], [14 ^ [], 16 ^ [], 16 ^ []]]))).
% 0.39/1.43 cnf('1.1.3.2.1',plain,[14 ^ [] = 16 ^ [], -(subset(16 ^ [], 15 ^ [])), subset(14 ^ [], 15 ^ []), 15 ^ [] = 15 ^ []],extension(8,bind([[_21097, _21030, _21163, _21228], [16 ^ [], 14 ^ [], 15 ^ [], 15 ^ []]]))).
% 0.39/1.43 cnf('1.1.3.2.1.1',plain,[subset(16 ^ [], 15 ^ []), in(15 ^ [], 16 ^ [])],extension(14,bind([[_32191, _32238], [15 ^ [], 16 ^ []]]))).
% 0.39/1.43 cnf('1.1.3.2.1.1.1',plain,[-(in(15 ^ [], 16 ^ []))],extension(4)).
% 0.39/1.43 cnf('1.1.3.2.1.2',plain,[-(subset(14 ^ [], 15 ^ []))],extension(3)).
% 0.39/1.43 cnf('1.1.3.2.1.3',plain,[-(15 ^ [] = 15 ^ [])],extension(6,bind([[_15299], [15 ^ []]]))).
% 0.39/1.43 cnf('1.1.3.2.2',plain,[-(16 ^ [] = 16 ^ [])],extension(6,bind([[_15299], [16 ^ []]]))).
% 0.39/1.43 %-----------------------------------------------------
% 0.39/1.43
% 0.39/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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