TSTP Solution File: SET959+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET959+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 02:57:20 EDT 2022
% Result : Theorem 0.35s 1.40s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET959+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.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 : Sun Jul 10 17:29:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42 fof(t112_zfmisc_1, conjecture, ! [_30388, _30391] : (! [_30399] : ~ (in(_30399, _30388) & ! [_30419, _30422] : (! _30399) = ordered_pair(_30419, _30422)) & ! [_30399] : ~ (in(_30399, _30391) & ! [_30419, _30422] : (! _30399) = ordered_pair(_30419, _30422)) & ! [_30399, _30419] : (in(ordered_pair(_30399, _30419), _30388) <=> in(ordered_pair(_30399, _30419), _30391)) => _30388 = _30391), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t112_zfmisc_1)).
% 0.35/1.42 fof(t2_tarski, axiom, ! [_30982, _30985] : (! [_30993] : (in(_30993, _30982) <=> in(_30993, _30985)) => _30982 = _30985), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_tarski)).
% 0.35/1.42
% 0.35/1.42 cnf(1, plain, [4 ^ [] = 5 ^ []], clausify(t112_zfmisc_1)).
% 0.35/1.42 cnf(2, plain, [in(_14858, 4 ^ []), -(_14858 = ordered_pair(6 ^ [_14858], 7 ^ [_14858]))], clausify(t112_zfmisc_1)).
% 0.35/1.42 cnf(3, plain, [in(_14892, 5 ^ []), -(_14892 = ordered_pair(8 ^ [_14892], 9 ^ [_14892]))], clausify(t112_zfmisc_1)).
% 0.35/1.42 cnf(4, plain, [in(ordered_pair(_14923, _14928), 4 ^ []), -(in(ordered_pair(_14923, _14928), 5 ^ []))], clausify(t112_zfmisc_1)).
% 0.35/1.42 cnf(5, plain, [-(in(ordered_pair(_14923, _14928), 4 ^ [])), in(ordered_pair(_14923, _14928), 5 ^ [])], clausify(t112_zfmisc_1)).
% 0.35/1.42 cnf(6, plain, [-(_11133 = _11189), in(3 ^ [_11189, _11133], _11133), in(3 ^ [_11189, _11133], _11189)], clausify(t2_tarski)).
% 0.35/1.42 cnf(7, plain, [-(_11133 = _11189), -(in(3 ^ [_11189, _11133], _11133)), -(in(3 ^ [_11189, _11133], _11189))], clausify(t2_tarski)).
% 0.35/1.42 cnf(8, plain, [-(_6028 = _6028)], theory(equality)).
% 0.35/1.42 cnf(9, plain, [_6181 = _6226, -(_6226 = _6181)], theory(equality)).
% 0.35/1.42 cnf(10, plain, [-(in(_7322, _7453)), in(_7255, _7388), _7255 = _7322, _7388 = _7453], theory(equality)).
% 0.35/1.42
% 0.35/1.42 cnf('1',plain,[4 ^ [] = 5 ^ []],start(1)).
% 0.35/1.42 cnf('1.1',plain,[-(4 ^ [] = 5 ^ []), in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []), in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])],extension(6,bind([[_11133, _11189], [4 ^ [], 5 ^ []]]))).
% 0.35/1.42 cnf('1.1.1',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ [])), in(ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]]), 4 ^ []), ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]]) = 3 ^ [5 ^ [], 4 ^ []], 4 ^ [] = 4 ^ []],extension(10,bind([[_7255, _7322, _7388, _7453], [ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]]), 3 ^ [5 ^ [], 4 ^ []], 4 ^ [], 4 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.1',plain,[-(in(ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]]), 4 ^ [])), in(ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]]), 5 ^ [])],extension(5,bind([[_14923, _14928], [8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]]]]))).
% 0.35/1.42 cnf('1.1.1.1.1',plain,[-(in(ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]]), 5 ^ [])), in(3 ^ [5 ^ [], 4 ^ []], 5 ^ []), 3 ^ [5 ^ [], 4 ^ []] = ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]]), 5 ^ [] = 5 ^ []],extension(10,bind([[_7255, _7322, _7388, _7453], [3 ^ [5 ^ [], 4 ^ []], ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]]), 5 ^ [], 5 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.1.1.1',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])), -(4 ^ [] = 5 ^ []), -(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []))],extension(7,bind([[_11189, _11133], [5 ^ [], 4 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.1.1.1.1',plain,[4 ^ [] = 5 ^ []],extension(1)).
% 0.35/1.42 cnf('1.1.1.1.1.1.2',plain,[in(3 ^ [5 ^ [], 4 ^ []], 4 ^ [])],reduction('1.1')).
% 0.35/1.42 cnf('1.1.1.1.1.2',plain,[-(3 ^ [5 ^ [], 4 ^ []] = ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]])), in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])],extension(3,bind([[_14892], [3 ^ [5 ^ [], 4 ^ []]]]))).
% 0.35/1.42 cnf('1.1.1.1.1.2.1',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 5 ^ []))],lemmata('1.1.1.1.1')).
% 0.35/1.42 cnf('1.1.1.1.1.3',plain,[-(5 ^ [] = 5 ^ [])],extension(8,bind([[_6028], [5 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.2',plain,[-(ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]]) = 3 ^ [5 ^ [], 4 ^ []]), 3 ^ [5 ^ [], 4 ^ []] = ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]])],extension(9,bind([[_6181, _6226], [3 ^ [5 ^ [], 4 ^ []], ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]])]]))).
% 0.35/1.42 cnf('1.1.1.2.1',plain,[-(3 ^ [5 ^ [], 4 ^ []] = ordered_pair(8 ^ [3 ^ [5 ^ [], 4 ^ []]], 9 ^ [3 ^ [5 ^ [], 4 ^ []]])), in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])],extension(3,bind([[_14892], [3 ^ [5 ^ [], 4 ^ []]]]))).
% 0.35/1.42 cnf('1.1.1.2.1.1',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])), -(4 ^ [] = 5 ^ []), -(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []))],extension(7,bind([[_11189, _11133], [5 ^ [], 4 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.2.1.1.1',plain,[4 ^ [] = 5 ^ []],extension(1)).
% 0.35/1.42 cnf('1.1.1.2.1.1.2',plain,[in(3 ^ [5 ^ [], 4 ^ []], 4 ^ [])],reduction('1.1')).
% 0.35/1.42 cnf('1.1.1.3',plain,[-(4 ^ [] = 4 ^ []), in(3 ^ [4 ^ [], 4 ^ []], 4 ^ []), in(3 ^ [4 ^ [], 4 ^ []], 4 ^ [])],extension(6,bind([[_11133, _11189], [4 ^ [], 4 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.3.1',plain,[-(in(3 ^ [4 ^ [], 4 ^ []], 4 ^ [])), -(4 ^ [] = 4 ^ []), -(in(3 ^ [4 ^ [], 4 ^ []], 4 ^ []))],extension(7,bind([[_11133, _11189], [4 ^ [], 4 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.3.1.1',plain,[4 ^ [] = 4 ^ []],reduction('1.1.1')).
% 0.35/1.42 cnf('1.1.1.3.1.2',plain,[in(3 ^ [4 ^ [], 4 ^ []], 4 ^ [])],reduction('1.1.1.3')).
% 0.35/1.42 cnf('1.1.1.3.2',plain,[-(in(3 ^ [4 ^ [], 4 ^ []], 4 ^ []))],lemmata('1.1.1.3')).
% 0.35/1.42 cnf('1.1.2',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])), in(ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]]), 5 ^ []), ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]]) = 3 ^ [5 ^ [], 4 ^ []], 5 ^ [] = 5 ^ []],extension(10,bind([[_7255, _7322, _7388, _7453], [ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]]), 3 ^ [5 ^ [], 4 ^ []], 5 ^ [], 5 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1',plain,[-(in(ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]]), 5 ^ [])), in(ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]]), 4 ^ [])],extension(4,bind([[_14923, _14928], [6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]]]]))).
% 0.35/1.42 cnf('1.1.2.1.1',plain,[-(in(ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]]), 4 ^ [])), in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []), 3 ^ [5 ^ [], 4 ^ []] = ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]]), 4 ^ [] = 4 ^ []],extension(10,bind([[_7255, _7322, _7388, _7453], [3 ^ [5 ^ [], 4 ^ []], ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]]), 4 ^ [], 4 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1.1.1',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(4 ^ [] = 5 ^ []), -(in(3 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(7,bind([[_11133, _11189], [4 ^ [], 5 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1.1.1.1',plain,[4 ^ [] = 5 ^ []],extension(1)).
% 0.35/1.42 cnf('1.1.2.1.1.1.2',plain,[in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])],reduction('1.1')).
% 0.35/1.42 cnf('1.1.2.1.1.2',plain,[-(3 ^ [5 ^ [], 4 ^ []] = ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]])), in(3 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(2,bind([[_14858], [3 ^ [5 ^ [], 4 ^ []]]]))).
% 0.35/1.42 cnf('1.1.2.1.1.2.1',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []))],lemmata('1.1.2.1.1')).
% 0.35/1.42 cnf('1.1.2.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(8,bind([[_6028], [4 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2',plain,[-(ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]]) = 3 ^ [5 ^ [], 4 ^ []]), 3 ^ [5 ^ [], 4 ^ []] = ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]])],extension(9,bind([[_6181, _6226], [3 ^ [5 ^ [], 4 ^ []], ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]])]]))).
% 0.35/1.42 cnf('1.1.2.2.1',plain,[-(3 ^ [5 ^ [], 4 ^ []] = ordered_pair(6 ^ [3 ^ [5 ^ [], 4 ^ []]], 7 ^ [3 ^ [5 ^ [], 4 ^ []]])), in(3 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(2,bind([[_14858], [3 ^ [5 ^ [], 4 ^ []]]]))).
% 0.35/1.42 cnf('1.1.2.2.1.1',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []))],lemmata('1.1')).
% 0.35/1.42 cnf('1.1.2.3',plain,[-(5 ^ [] = 5 ^ []), in(3 ^ [5 ^ [], 5 ^ []], 5 ^ []), in(3 ^ [5 ^ [], 5 ^ []], 5 ^ [])],extension(6,bind([[_11133, _11189], [5 ^ [], 5 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.3.1',plain,[-(in(3 ^ [5 ^ [], 5 ^ []], 5 ^ [])), -(5 ^ [] = 5 ^ []), -(in(3 ^ [5 ^ [], 5 ^ []], 5 ^ []))],extension(7,bind([[_11133, _11189], [5 ^ [], 5 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.3.1.1',plain,[5 ^ [] = 5 ^ []],reduction('1.1.2')).
% 0.35/1.42 cnf('1.1.2.3.1.2',plain,[in(3 ^ [5 ^ [], 5 ^ []], 5 ^ [])],reduction('1.1.2.3')).
% 0.35/1.42 cnf('1.1.2.3.2',plain,[-(in(3 ^ [5 ^ [], 5 ^ []], 5 ^ []))],lemmata('1.1.2.3')).
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42
% 0.35/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------