TSTP Solution File: SEU267+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU267+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 12:01:34 EDT 2022
% Result : Theorem 85.87s 83.22s
% Output : Proof 85.87s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU267+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n021.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 21:49:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 85.87/83.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.87/83.23 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.87/83.24
% 85.87/83.24 %-----------------------------------------------------
% 85.87/83.24 fof(t7_mcart_1, conjecture, ! [_64933, _64936] : (pair_first(ordered_pair(_64933, _64936)) = _64933 & pair_second(ordered_pair(_64933, _64936)) = _64936), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_mcart_1)).
% 85.87/83.24 fof(commutativity_k2_tarski, axiom, ! [_65225, _65228] : unordered_pair(_65225, _65228) = unordered_pair(_65228, _65225), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 85.87/83.24 fof(d1_mcart_1, axiom, ! [_65437] : (? [_65445, _65448] : _65437 = ordered_pair(_65445, _65448) => ! [_65445] : (_65445 = pair_first(_65437) <=> ! [_65448, _65488] : (_65437 = ordered_pair(_65448, _65488) => _65445 = _65448))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_mcart_1)).
% 85.87/83.24 fof(d2_mcart_1, axiom, ! [_65798] : (? [_65806, _65809] : _65798 = ordered_pair(_65806, _65809) => ! [_65806] : (_65806 = pair_second(_65798) <=> ! [_65809, _65849] : (_65798 = ordered_pair(_65809, _65849) => _65806 = _65849))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_mcart_1)).
% 85.87/83.24 fof(t10_zfmisc_1, lemma, ! [_66468, _66471, _66474, _66477] : ~ (unordered_pair(_66468, _66471) = unordered_pair(_66474, _66477) & (! _66468) = _66474 & (! _66468) = _66477), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t10_zfmisc_1)).
% 85.87/83.24
% 85.87/83.24 cnf(1, plain, [pair_first(ordered_pair(133 ^ [], 134 ^ [])) = 133 ^ [], pair_second(ordered_pair(133 ^ [], 134 ^ [])) = 134 ^ []], clausify(t7_mcart_1)).
% 85.87/83.24 cnf(2, plain, [-(_18037 = _18037)], theory(equality)).
% 85.87/83.24 cnf(3, plain, [_18043 = _18044, -(_18044 = _18043)], theory(equality)).
% 85.87/83.24 cnf(4, plain, [-(unordered_pair(_19326, _19327) = unordered_pair(_19327, _19326))], clausify(commutativity_k2_tarski)).
% 85.87/83.24 cnf(5, plain, [_19677 = ordered_pair(_19678, _19679), _19686 = pair_first(_19677), _19677 = ordered_pair(_19692, _19693), -(_19686 = _19692)], clausify(d1_mcart_1)).
% 85.87/83.24 cnf(6, plain, [_19873 = ordered_pair(_19874, _19875), _19882 = pair_second(_19873), _19873 = ordered_pair(_19888, _19889), -(_19882 = _19889)], clausify(d2_mcart_1)).
% 85.87/83.24 cnf(7, plain, [unordered_pair(_22171, _22172) = unordered_pair(_22173, _22174), -(_22171 = _22173), -(_22171 = _22174)], clausify(t10_zfmisc_1)).
% 85.87/83.24
% 85.87/83.24 cnf('1',plain,[pair_first(ordered_pair(133 ^ [], 134 ^ [])) = 133 ^ [], pair_second(ordered_pair(133 ^ [], 134 ^ [])) = 134 ^ []],start(1)).
% 85.87/83.24 cnf('1.1',plain,[-(pair_first(ordered_pair(133 ^ [], 134 ^ [])) = 133 ^ []), unordered_pair(pair_first(ordered_pair(133 ^ [], 134 ^ [])), 133 ^ []) = unordered_pair(133 ^ [], pair_first(ordered_pair(133 ^ [], 134 ^ []))), -(pair_first(ordered_pair(133 ^ [], 134 ^ [])) = pair_first(ordered_pair(133 ^ [], 134 ^ [])))],extension(7,bind([[_22172, _22173, _22171, _22174], [133 ^ [], 133 ^ [], pair_first(ordered_pair(133 ^ [], 134 ^ [])), pair_first(ordered_pair(133 ^ [], 134 ^ []))]]))).
% 85.87/83.24 cnf('1.1.1',plain,[-(unordered_pair(pair_first(ordered_pair(133 ^ [], 134 ^ [])), 133 ^ []) = unordered_pair(133 ^ [], pair_first(ordered_pair(133 ^ [], 134 ^ [])))), unordered_pair(133 ^ [], pair_first(ordered_pair(133 ^ [], 134 ^ []))) = unordered_pair(pair_first(ordered_pair(133 ^ [], 134 ^ [])), 133 ^ [])],extension(3,bind([[_18043, _18044], [unordered_pair(133 ^ [], pair_first(ordered_pair(133 ^ [], 134 ^ []))), unordered_pair(pair_first(ordered_pair(133 ^ [], 134 ^ [])), 133 ^ [])]]))).
% 85.87/83.24 cnf('1.1.1.1',plain,[-(unordered_pair(133 ^ [], pair_first(ordered_pair(133 ^ [], 134 ^ []))) = unordered_pair(pair_first(ordered_pair(133 ^ [], 134 ^ [])), 133 ^ []))],extension(4,bind([[_19327, _19326], [pair_first(ordered_pair(133 ^ [], 134 ^ [])), 133 ^ []]]))).
% 85.87/83.24 cnf('1.1.2',plain,[pair_first(ordered_pair(133 ^ [], 134 ^ [])) = pair_first(ordered_pair(133 ^ [], 134 ^ [])), ordered_pair(133 ^ [], 134 ^ []) = ordered_pair(133 ^ [], 134 ^ []), ordered_pair(133 ^ [], 134 ^ []) = ordered_pair(133 ^ [], 134 ^ []), -(pair_first(ordered_pair(133 ^ [], 134 ^ [])) = 133 ^ [])],extension(5,bind([[_19678, _19679, _19677, _19693, _19686, _19692], [133 ^ [], 134 ^ [], ordered_pair(133 ^ [], 134 ^ []), 134 ^ [], pair_first(ordered_pair(133 ^ [], 134 ^ [])), 133 ^ []]]))).
% 85.87/83.24 cnf('1.1.2.1',plain,[-(ordered_pair(133 ^ [], 134 ^ []) = ordered_pair(133 ^ [], 134 ^ []))],extension(2,bind([[_18037], [ordered_pair(133 ^ [], 134 ^ [])]]))).
% 85.87/83.24 cnf('1.1.2.2',plain,[-(ordered_pair(133 ^ [], 134 ^ []) = ordered_pair(133 ^ [], 134 ^ []))],extension(2,bind([[_18037], [ordered_pair(133 ^ [], 134 ^ [])]]))).
% 85.87/83.24 cnf('1.1.2.3',plain,[pair_first(ordered_pair(133 ^ [], 134 ^ [])) = 133 ^ []],reduction('1')).
% 85.87/83.24 cnf('1.2',plain,[-(pair_second(ordered_pair(133 ^ [], 134 ^ [])) = 134 ^ []), unordered_pair(pair_second(ordered_pair(133 ^ [], 134 ^ [])), 134 ^ []) = unordered_pair(134 ^ [], pair_second(ordered_pair(133 ^ [], 134 ^ []))), -(pair_second(ordered_pair(133 ^ [], 134 ^ [])) = pair_second(ordered_pair(133 ^ [], 134 ^ [])))],extension(7,bind([[_22172, _22173, _22171, _22174], [134 ^ [], 134 ^ [], pair_second(ordered_pair(133 ^ [], 134 ^ [])), pair_second(ordered_pair(133 ^ [], 134 ^ []))]]))).
% 85.87/83.24 cnf('1.2.1',plain,[-(unordered_pair(pair_second(ordered_pair(133 ^ [], 134 ^ [])), 134 ^ []) = unordered_pair(134 ^ [], pair_second(ordered_pair(133 ^ [], 134 ^ [])))), unordered_pair(134 ^ [], pair_second(ordered_pair(133 ^ [], 134 ^ []))) = unordered_pair(pair_second(ordered_pair(133 ^ [], 134 ^ [])), 134 ^ [])],extension(3,bind([[_18043, _18044], [unordered_pair(134 ^ [], pair_second(ordered_pair(133 ^ [], 134 ^ []))), unordered_pair(pair_second(ordered_pair(133 ^ [], 134 ^ [])), 134 ^ [])]]))).
% 85.87/83.24 cnf('1.2.1.1',plain,[-(unordered_pair(134 ^ [], pair_second(ordered_pair(133 ^ [], 134 ^ []))) = unordered_pair(pair_second(ordered_pair(133 ^ [], 134 ^ [])), 134 ^ []))],extension(4,bind([[_19327, _19326], [pair_second(ordered_pair(133 ^ [], 134 ^ [])), 134 ^ []]]))).
% 85.87/83.24 cnf('1.2.2',plain,[pair_second(ordered_pair(133 ^ [], 134 ^ [])) = pair_second(ordered_pair(133 ^ [], 134 ^ [])), ordered_pair(133 ^ [], 134 ^ []) = ordered_pair(133 ^ [], 134 ^ []), ordered_pair(133 ^ [], 134 ^ []) = ordered_pair(133 ^ [], 134 ^ []), -(pair_second(ordered_pair(133 ^ [], 134 ^ [])) = 134 ^ [])],extension(6,bind([[_19874, _19875, _19873, _19888, _19882, _19889], [133 ^ [], 134 ^ [], ordered_pair(133 ^ [], 134 ^ []), 133 ^ [], pair_second(ordered_pair(133 ^ [], 134 ^ [])), 134 ^ []]]))).
% 85.87/83.24 cnf('1.2.2.1',plain,[-(ordered_pair(133 ^ [], 134 ^ []) = ordered_pair(133 ^ [], 134 ^ []))],extension(2,bind([[_18037], [ordered_pair(133 ^ [], 134 ^ [])]]))).
% 85.87/83.24 cnf('1.2.2.2',plain,[-(ordered_pair(133 ^ [], 134 ^ []) = ordered_pair(133 ^ [], 134 ^ []))],extension(2,bind([[_18037], [ordered_pair(133 ^ [], 134 ^ [])]]))).
% 85.87/83.24 cnf('1.2.2.3',plain,[pair_second(ordered_pair(133 ^ [], 134 ^ [])) = 134 ^ []],reduction('1')).
% 85.87/83.24 %-----------------------------------------------------
% 85.87/83.24
% 85.87/83.25 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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