TSTP Solution File: SEU150+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU150+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 12:00:29 EDT 2022
% Result : Theorem 86.23s 84.03s
% Output : Proof 86.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU150+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 00:16:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 86.23/84.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.23/84.04 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.23/84.04
% 86.23/84.04 %-----------------------------------------------------
% 86.23/84.04 fof(t9_zfmisc_1, conjecture, ! [_86641, _86644, _86647] : (singleton(_86641) = unordered_pair(_86644, _86647) => _86644 = _86647), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t9_zfmisc_1)).
% 86.23/84.04 fof(d1_tarski, axiom, ! [_86903, _86906] : (_86906 = singleton(_86903) <=> ! [_86924] : (in(_86924, _86906) <=> _86924 = _86903)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 86.23/84.04 fof(d2_tarski, axiom, ! [_87118, _87121, _87124] : (_87124 = unordered_pair(_87118, _87121) <=> ! [_87145] : (in(_87145, _87124) <=> _87145 = _87118 | _87145 = _87121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 86.23/84.04 fof(d2_xboole_0, axiom, ! [_87370, _87373, _87376] : (_87376 = set_union2(_87370, _87373) <=> ! [_87397] : (in(_87397, _87376) <=> in(_87397, _87370) | in(_87397, _87373))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 86.23/84.04 fof(t8_zfmisc_1, lemma, ! [_87717, _87720, _87723] : (singleton(_87717) = unordered_pair(_87720, _87723) => _87717 = _87720), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_zfmisc_1)).
% 86.23/84.04
% 86.23/84.04 cnf(1, plain, [-(singleton(14 ^ []) = unordered_pair(15 ^ [], 16 ^ []))], clausify(t9_zfmisc_1)).
% 86.23/84.04 cnf(2, plain, [15 ^ [] = 16 ^ []], clausify(t9_zfmisc_1)).
% 86.23/84.04 cnf(3, plain, [-(set_union2(_31366, _31499) = set_union2(_31433, _31564)), _31366 = _31433, _31499 = _31564], theory(equality)).
% 86.23/84.04 cnf(4, plain, [_31990 = _32039, -(singleton(_31990) = singleton(_32039))], theory(equality)).
% 86.23/84.04 cnf(5, plain, [-(_25991 = _25991)], theory(equality)).
% 86.23/84.04 cnf(6, plain, [_26144 = _26189, -(_26189 = _26144)], theory(equality)).
% 86.23/84.04 cnf(7, plain, [-(_26423 = _26534), _26423 = _26479, _26479 = _26534], theory(equality)).
% 86.23/84.04 cnf(8, plain, [_35088 = singleton(_35030), in(_35220, _35088), -(_35220 = _35030)], clausify(d1_tarski)).
% 86.23/84.04 cnf(9, plain, [_36455 = unordered_pair(_36316, _36386), -(in(_36619, _36455)), _36619 = _36386], clausify(d2_tarski)).
% 86.23/84.04 cnf(10, plain, [_37140 = set_union2(_37001, _37071), -(in(_37304, _37140)), in(_37304, _37071)], clausify(d2_xboole_0)).
% 86.23/84.04 cnf(11, plain, [_37140 = set_union2(_37001, _37071), in(_37304, _37140), -(in(_37304, _37001)), -(in(_37304, _37071))], clausify(d2_xboole_0)).
% 86.23/84.04 cnf(12, plain, [singleton(_57492) = unordered_pair(_57547, _57601), -(_57492 = _57547)], clausify(t8_zfmisc_1)).
% 86.23/84.04
% 86.23/84.04 cnf('1',plain,[15 ^ [] = 16 ^ []],start(2)).
% 86.23/84.04 cnf('1.1',plain,[-(15 ^ [] = 16 ^ []), 16 ^ [] = 15 ^ []],extension(6,bind([[_26144, _26189], [16 ^ [], 15 ^ []]]))).
% 86.23/84.04 cnf('1.1.1',plain,[-(16 ^ [] = 15 ^ []), singleton(15 ^ []) = singleton(15 ^ []), in(16 ^ [], singleton(15 ^ []))],extension(8,bind([[_35030, _35220, _35088], [15 ^ [], 16 ^ [], singleton(15 ^ [])]]))).
% 86.23/84.04 cnf('1.1.1.1',plain,[-(singleton(15 ^ []) = singleton(15 ^ [])), 15 ^ [] = 15 ^ []],extension(4,bind([[_31990, _32039], [15 ^ [], 15 ^ []]]))).
% 86.23/84.04 cnf('1.1.1.1.1',plain,[-(15 ^ [] = 15 ^ [])],extension(5,bind([[_25991], [15 ^ []]]))).
% 86.23/84.04 cnf('1.1.1.2',plain,[-(in(16 ^ [], singleton(15 ^ []))), set_union2(singleton(15 ^ []), singleton(14 ^ [])) = set_union2(singleton(15 ^ []), unordered_pair(15 ^ [], 16 ^ [])), in(16 ^ [], set_union2(singleton(15 ^ []), singleton(14 ^ []))), -(in(16 ^ [], unordered_pair(15 ^ [], 16 ^ [])))],extension(11,bind([[_37001, _37140, _37304, _37071], [singleton(15 ^ []), set_union2(singleton(15 ^ []), singleton(14 ^ [])), 16 ^ [], unordered_pair(15 ^ [], 16 ^ [])]]))).
% 86.23/84.04 cnf('1.1.1.2.1',plain,[-(set_union2(singleton(15 ^ []), singleton(14 ^ [])) = set_union2(singleton(15 ^ []), unordered_pair(15 ^ [], 16 ^ []))), singleton(15 ^ []) = singleton(15 ^ []), singleton(14 ^ []) = unordered_pair(15 ^ [], 16 ^ [])],extension(3,bind([[_31366, _31433, _31499, _31564], [singleton(15 ^ []), singleton(15 ^ []), singleton(14 ^ []), unordered_pair(15 ^ [], 16 ^ [])]]))).
% 86.23/84.04 cnf('1.1.1.2.1.1',plain,[-(singleton(15 ^ []) = singleton(15 ^ [])), 15 ^ [] = 15 ^ []],extension(4,bind([[_31990, _32039], [15 ^ [], 15 ^ []]]))).
% 86.23/84.04 cnf('1.1.1.2.1.1.1',plain,[-(15 ^ [] = 15 ^ [])],extension(5,bind([[_25991], [15 ^ []]]))).
% 86.23/84.04 cnf('1.1.1.2.1.2',plain,[-(singleton(14 ^ []) = unordered_pair(15 ^ [], 16 ^ []))],extension(1)).
% 86.23/84.04 cnf('1.1.1.2.2',plain,[-(in(16 ^ [], set_union2(singleton(15 ^ []), singleton(14 ^ [])))), set_union2(singleton(15 ^ []), singleton(14 ^ [])) = set_union2(singleton(15 ^ []), unordered_pair(15 ^ [], 16 ^ [])), in(16 ^ [], unordered_pair(15 ^ [], 16 ^ []))],extension(10,bind([[_37140, _37001, _37304, _37071], [set_union2(singleton(15 ^ []), singleton(14 ^ [])), singleton(15 ^ []), 16 ^ [], unordered_pair(15 ^ [], 16 ^ [])]]))).
% 86.23/84.04 cnf('1.1.1.2.2.1',plain,[-(set_union2(singleton(15 ^ []), singleton(14 ^ [])) = set_union2(singleton(15 ^ []), unordered_pair(15 ^ [], 16 ^ []))), singleton(15 ^ []) = singleton(15 ^ []), singleton(14 ^ []) = unordered_pair(15 ^ [], 16 ^ [])],extension(3,bind([[_31366, _31433, _31499, _31564], [singleton(15 ^ []), singleton(15 ^ []), singleton(14 ^ []), unordered_pair(15 ^ [], 16 ^ [])]]))).
% 86.23/84.04 cnf('1.1.1.2.2.1.1',plain,[-(singleton(15 ^ []) = singleton(15 ^ []))],extension(5,bind([[_25991], [singleton(15 ^ [])]]))).
% 86.23/84.04 cnf('1.1.1.2.2.1.2',plain,[-(singleton(14 ^ []) = unordered_pair(15 ^ [], 16 ^ []))],extension(1)).
% 86.23/84.04 cnf('1.1.1.2.2.2',plain,[-(in(16 ^ [], unordered_pair(15 ^ [], 16 ^ []))), unordered_pair(15 ^ [], 16 ^ []) = unordered_pair(15 ^ [], 16 ^ []), 16 ^ [] = 16 ^ []],extension(9,bind([[_36455, _36316, _36619, _36386], [unordered_pair(15 ^ [], 16 ^ []), 15 ^ [], 16 ^ [], 16 ^ []]]))).
% 86.23/84.04 cnf('1.1.1.2.2.2.1',plain,[-(unordered_pair(15 ^ [], 16 ^ []) = unordered_pair(15 ^ [], 16 ^ []))],extension(5,bind([[_25991], [unordered_pair(15 ^ [], 16 ^ [])]]))).
% 86.23/84.04 cnf('1.1.1.2.2.2.2',plain,[-(16 ^ [] = 16 ^ [])],extension(5,bind([[_25991], [16 ^ []]]))).
% 86.23/84.04 cnf('1.1.1.2.3',plain,[in(16 ^ [], unordered_pair(15 ^ [], 16 ^ [])), unordered_pair(15 ^ [], 16 ^ []) = singleton(14 ^ []), -(16 ^ [] = 14 ^ [])],extension(8,bind([[_35088, _35220, _35030], [unordered_pair(15 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]]))).
% 86.23/84.04 cnf('1.1.1.2.3.1',plain,[-(unordered_pair(15 ^ [], 16 ^ []) = singleton(14 ^ [])), singleton(14 ^ []) = unordered_pair(15 ^ [], 16 ^ [])],extension(6,bind([[_26144, _26189], [singleton(14 ^ []), unordered_pair(15 ^ [], 16 ^ [])]]))).
% 86.23/84.04 cnf('1.1.1.2.3.1.1',plain,[-(singleton(14 ^ []) = unordered_pair(15 ^ [], 16 ^ []))],extension(1)).
% 86.23/84.04 cnf('1.1.1.2.3.2',plain,[16 ^ [] = 14 ^ [], -(16 ^ [] = 15 ^ []), 14 ^ [] = 15 ^ []],extension(7,bind([[_26423, _26479, _26534], [16 ^ [], 14 ^ [], 15 ^ []]]))).
% 86.23/84.04 cnf('1.1.1.2.3.2.1',plain,[16 ^ [] = 15 ^ []],reduction('1.1')).
% 86.23/84.04 cnf('1.1.1.2.3.2.2',plain,[-(14 ^ [] = 15 ^ []), singleton(14 ^ []) = unordered_pair(15 ^ [], 16 ^ [])],extension(12,bind([[_57492, _57547, _57601], [14 ^ [], 15 ^ [], 16 ^ []]]))).
% 86.23/84.04 cnf('1.1.1.2.3.2.2.1',plain,[-(singleton(14 ^ []) = unordered_pair(15 ^ [], 16 ^ []))],extension(1)).
% 86.23/84.04 %-----------------------------------------------------
% 86.23/84.05
% 86.23/84.05 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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