TSTP Solution File: SET975+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : SET975+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n027.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 02:57:26 EDT 2022
% Result : Theorem 0.34s 1.43s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET975+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 13:11:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.34/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.44
% 0.44/1.44 %-----------------------------------------------------
% 0.44/1.44 fof(t128_zfmisc_1, conjecture, ! [_21873, _21876, _21879, _21882] : (in(ordered_pair(_21873, _21876), cartesian_product2(singleton(_21879), _21882)) <=> _21873 = _21879 & in(_21876, _21882)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t128_zfmisc_1)).
% 0.44/1.44 fof(l55_zfmisc_1, axiom, ! [_22167, _22170, _22173, _22176] : (in(ordered_pair(_22167, _22170), cartesian_product2(_22173, _22176)) <=> in(_22167, _22173) & in(_22170, _22176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l55_zfmisc_1)).
% 0.44/1.44 fof(d1_tarski, axiom, ! [_22419, _22422] : (_22422 = singleton(_22419) <=> ! [_22440] : (in(_22440, _22422) <=> _22440 = _22419)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.44/1.44
% 0.44/1.44 cnf(1, plain, [-(9 ^ []), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), 7 ^ []))], clausify(t128_zfmisc_1)).
% 0.44/1.44 cnf(2, plain, [-(9 ^ []), -(in(5 ^ [], 7 ^ []))], clausify(t128_zfmisc_1)).
% 0.44/1.44 cnf(3, plain, [-(9 ^ []), -(4 ^ [] = 6 ^ [])], clausify(t128_zfmisc_1)).
% 0.44/1.44 cnf(4, plain, [-(8 ^ []), 4 ^ [] = 6 ^ [], in(5 ^ [], 7 ^ [])], clausify(t128_zfmisc_1)).
% 0.44/1.44 cnf(5, plain, [-(8 ^ []), -(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), 7 ^ [])))], clausify(t128_zfmisc_1)).
% 0.44/1.44 cnf(6, plain, [9 ^ [], 8 ^ []], clausify(t128_zfmisc_1)).
% 0.44/1.44 cnf(7, plain, [in(ordered_pair(_11843, _11910), cartesian_product2(_11976, _12041)), -(in(_11843, _11976))], clausify(l55_zfmisc_1)).
% 0.44/1.44 cnf(8, plain, [in(ordered_pair(_11843, _11910), cartesian_product2(_11976, _12041)), -(in(_11910, _12041))], clausify(l55_zfmisc_1)).
% 0.44/1.44 cnf(9, plain, [-(in(ordered_pair(_11843, _11910), cartesian_product2(_11976, _12041))), in(_11843, _11976), in(_11910, _12041)], clausify(l55_zfmisc_1)).
% 0.44/1.44 cnf(10, plain, [_10783 = singleton(_10725), in(_10915, _10783), -(_10915 = _10725)], clausify(d1_tarski)).
% 0.44/1.44 cnf(11, plain, [_10783 = singleton(_10725), -(in(_10915, _10783)), _10915 = _10725], clausify(d1_tarski)).
% 0.44/1.44 cnf(12, plain, [_9061 = _9110, -(singleton(_9061) = singleton(_9110))], theory(equality)).
% 0.44/1.44 cnf(13, plain, [-(_5932 = _5932)], theory(equality)).
% 0.44/1.44
% 0.44/1.44 cnf('1',plain,[9 ^ [], 8 ^ []],start(6)).
% 0.44/1.44 cnf('1.1',plain,[-(9 ^ []), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), 7 ^ []))],extension(1)).
% 0.44/1.44 cnf('1.1.1',plain,[-(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), 7 ^ []))), in(4 ^ [], singleton(6 ^ [])), in(5 ^ [], 7 ^ [])],extension(9,bind([[_11843, _11976, _11910, _12041], [4 ^ [], singleton(6 ^ []), 5 ^ [], 7 ^ []]]))).
% 0.44/1.44 cnf('1.1.1.1',plain,[-(in(4 ^ [], singleton(6 ^ []))), singleton(6 ^ []) = singleton(6 ^ []), 4 ^ [] = 6 ^ []],extension(11,bind([[_10783, _10915, _10725], [singleton(6 ^ []), 4 ^ [], 6 ^ []]]))).
% 0.44/1.44 cnf('1.1.1.1.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ []))],extension(13,bind([[_5932], [singleton(6 ^ [])]]))).
% 0.44/1.44 cnf('1.1.1.1.2',plain,[-(4 ^ [] = 6 ^ []), -(9 ^ [])],extension(3)).
% 0.44/1.44 cnf('1.1.1.1.2.1',plain,[9 ^ []],reduction('1')).
% 0.44/1.44 cnf('1.1.1.2',plain,[-(in(5 ^ [], 7 ^ [])), -(9 ^ [])],extension(2)).
% 0.44/1.44 cnf('1.1.1.2.1',plain,[9 ^ []],reduction('1')).
% 0.44/1.44 cnf('1.2',plain,[-(8 ^ []), 4 ^ [] = 6 ^ [], in(5 ^ [], 7 ^ [])],extension(4)).
% 0.44/1.44 cnf('1.2.1',plain,[-(4 ^ [] = 6 ^ []), singleton(6 ^ []) = singleton(6 ^ []), in(4 ^ [], singleton(6 ^ []))],extension(10,bind([[_10725, _10915, _10783], [6 ^ [], 4 ^ [], singleton(6 ^ [])]]))).
% 0.44/1.44 cnf('1.2.1.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ [])), 6 ^ [] = 6 ^ []],extension(12,bind([[_9061, _9110], [6 ^ [], 6 ^ []]]))).
% 0.44/1.44 cnf('1.2.1.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(13,bind([[_5932], [6 ^ []]]))).
% 0.44/1.44 cnf('1.2.1.2',plain,[-(in(4 ^ [], singleton(6 ^ []))), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), 7 ^ []))],extension(7,bind([[_11843, _11910, _11976, _12041], [4 ^ [], 5 ^ [], singleton(6 ^ []), 7 ^ []]]))).
% 0.44/1.44 cnf('1.2.1.2.1',plain,[-(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), 7 ^ []))), -(8 ^ [])],extension(5)).
% 0.44/1.44 cnf('1.2.1.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.44/1.44 cnf('1.2.2',plain,[-(in(5 ^ [], 7 ^ [])), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), 7 ^ []))],extension(8,bind([[_11843, _11910, _11976, _12041], [4 ^ [], 5 ^ [], singleton(6 ^ []), 7 ^ []]]))).
% 0.44/1.44 cnf('1.2.2.1',plain,[-(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), 7 ^ []))), -(8 ^ [])],extension(5)).
% 0.44/1.44 cnf('1.2.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.44/1.44 %-----------------------------------------------------
% 0.44/1.45
% 0.44/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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