TSTP Solution File: SEU151+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU151+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 12:00:31 EDT 2022
% Result : Theorem 0.36s 1.40s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU151+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n017.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 Jun 19 21:45:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.41
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41 fof(t10_zfmisc_1, conjecture, ! [_16722, _16725, _16728, _16731] : ~ (unordered_pair(_16722, _16725) = unordered_pair(_16728, _16731) & (! _16722) = _16728 & (! _16722) = _16731), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t10_zfmisc_1)).
% 0.36/1.41 fof(commutativity_k2_tarski, axiom, ! [_16982, _16985] : unordered_pair(_16982, _16985) = unordered_pair(_16985, _16982), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 0.36/1.41 fof(d2_tarski, axiom, ! [_17130, _17133, _17136] : (_17136 = unordered_pair(_17130, _17133) <=> ! [_17157] : (in(_17157, _17136) <=> _17157 = _17130 | _17157 = _17133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 0.36/1.41
% 0.36/1.41 cnf(1, plain, [-(unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(6 ^ [], 7 ^ []))], clausify(t10_zfmisc_1)).
% 0.36/1.41 cnf(2, plain, [4 ^ [] = 6 ^ []], clausify(t10_zfmisc_1)).
% 0.36/1.41 cnf(3, plain, [4 ^ [] = 7 ^ []], clausify(t10_zfmisc_1)).
% 0.36/1.41 cnf(4, plain, [-(unordered_pair(_7656, _7701) = unordered_pair(_7701, _7656))], clausify(commutativity_k2_tarski)).
% 0.36/1.41 cnf(5, plain, [_8105 = unordered_pair(_7966, _8036), -(in(_8269, _8105)), _8269 = _7966], clausify(d2_tarski)).
% 0.36/1.41 cnf(6, plain, [_8105 = unordered_pair(_7966, _8036), -(in(_8269, _8105)), _8269 = _8036], clausify(d2_tarski)).
% 0.36/1.41 cnf(7, plain, [_8105 = unordered_pair(_7966, _8036), in(_8269, _8105), -(_8269 = _7966), -(_8269 = _8036)], clausify(d2_tarski)).
% 0.36/1.41 cnf(8, plain, [-(_4795 = _4795)], theory(equality)).
% 0.36/1.41
% 0.36/1.41 cnf('1',plain,[4 ^ [] = 6 ^ []],start(2)).
% 0.36/1.41 cnf('1.1',plain,[-(4 ^ [] = 6 ^ []), unordered_pair(6 ^ [], 4 ^ []) = unordered_pair(4 ^ [], 6 ^ []), in(4 ^ [], unordered_pair(6 ^ [], 4 ^ [])), -(4 ^ [] = 4 ^ [])],extension(7,bind([[_8036, _8105, _8269, _7966], [6 ^ [], unordered_pair(6 ^ [], 4 ^ []), 4 ^ [], 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.1',plain,[-(unordered_pair(6 ^ [], 4 ^ []) = unordered_pair(4 ^ [], 6 ^ []))],extension(4,bind([[_7701, _7656], [4 ^ [], 6 ^ []]]))).
% 0.36/1.41 cnf('1.1.2',plain,[-(in(4 ^ [], unordered_pair(6 ^ [], 4 ^ []))), unordered_pair(6 ^ [], 4 ^ []) = unordered_pair(4 ^ [], 6 ^ []), 4 ^ [] = 4 ^ []],extension(5,bind([[_8105, _8036, _8269, _7966], [unordered_pair(6 ^ [], 4 ^ []), 6 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.2.1',plain,[-(unordered_pair(6 ^ [], 4 ^ []) = unordered_pair(4 ^ [], 6 ^ []))],extension(4,bind([[_7701, _7656], [4 ^ [], 6 ^ []]]))).
% 0.36/1.41 cnf('1.1.2.2',plain,[-(4 ^ [] = 4 ^ [])],extension(8,bind([[_4795], [4 ^ []]]))).
% 0.36/1.41 cnf('1.1.3',plain,[4 ^ [] = 4 ^ [], unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 4 ^ []), -(in(4 ^ [], unordered_pair(4 ^ [], 5 ^ [])))],extension(6,bind([[_7966, _8036, _8269, _8105], [5 ^ [], 4 ^ [], 4 ^ [], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 0.36/1.41 cnf('1.1.3.1',plain,[-(unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 4 ^ []))],extension(4,bind([[_7701, _7656], [5 ^ [], 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.3.2',plain,[in(4 ^ [], unordered_pair(4 ^ [], 5 ^ [])), unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(6 ^ [], 7 ^ []), -(4 ^ [] = 6 ^ []), -(4 ^ [] = 7 ^ [])],extension(7,bind([[_8105, _7966, _8269, _8036], [unordered_pair(4 ^ [], 5 ^ []), 6 ^ [], 4 ^ [], 7 ^ []]]))).
% 0.36/1.41 cnf('1.1.3.2.1',plain,[-(unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(6 ^ [], 7 ^ []))],extension(1)).
% 0.36/1.41 cnf('1.1.3.2.2',plain,[4 ^ [] = 6 ^ []],extension(2)).
% 0.36/1.41 cnf('1.1.3.2.3',plain,[4 ^ [] = 7 ^ []],extension(3)).
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.42
% 0.36/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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