TSTP Solution File: SET886+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET886+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 02:56:49 EDT 2022
% Result : Theorem 29.39s 29.35s
% Output : Proof 29.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET886+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n005.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 : Mon Jul 11 08:42:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 29.39/29.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.39/29.35 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.39/29.36
% 29.39/29.36 %-----------------------------------------------------
% 29.39/29.36 fof(t27_zfmisc_1, conjecture, ! [_15362, _15365, _15368] : (subset(unordered_pair(_15362, _15365), singleton(_15368)) => unordered_pair(_15362, _15365) = singleton(_15368)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t27_zfmisc_1)).
% 29.39/29.36 fof(commutativity_k2_tarski, axiom, ! [_15576, _15579] : unordered_pair(_15576, _15579) = unordered_pair(_15579, _15576), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 29.39/29.36 fof(t69_enumset1, axiom, ! [_15725] : unordered_pair(_15725, _15725) = singleton(_15725), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t69_enumset1)).
% 29.39/29.36 fof(t26_zfmisc_1, axiom, ! [_15853, _15856, _15859] : (subset(unordered_pair(_15853, _15856), singleton(_15859)) => _15853 = _15859), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t26_zfmisc_1)).
% 29.39/29.36
% 29.39/29.36 cnf(1, plain, [-(subset(unordered_pair(3 ^ [], 4 ^ []), singleton(5 ^ [])))], clausify(t27_zfmisc_1)).
% 29.39/29.36 cnf(2, plain, [unordered_pair(3 ^ [], 4 ^ []) = singleton(5 ^ [])], clausify(t27_zfmisc_1)).
% 29.39/29.36 cnf(3, plain, [-(unordered_pair(_7552, _7597) = unordered_pair(_7597, _7552))], clausify(commutativity_k2_tarski)).
% 29.39/29.36 cnf(4, plain, [-(unordered_pair(_8843, _8843) = singleton(_8843))], clausify(t69_enumset1)).
% 29.39/29.36 cnf(5, plain, [subset(unordered_pair(_8410, _8465), singleton(_8519)), -(_8410 = _8519)], clausify(t26_zfmisc_1)).
% 29.39/29.36 cnf(6, plain, [-(unordered_pair(_6877, _7010) = unordered_pair(_6944, _7075)), _6877 = _6944, _7010 = _7075], theory(equality)).
% 29.39/29.36 cnf(7, plain, [-(_4677 = _4677)], theory(equality)).
% 29.39/29.36 cnf(8, plain, [-(_5109 = _5220), _5109 = _5165, _5165 = _5220], theory(equality)).
% 29.39/29.36 cnf(9, plain, [-(subset(_5971, _6102)), subset(_5904, _6037), _5904 = _5971, _6037 = _6102], theory(equality)).
% 29.39/29.36
% 29.39/29.36 cnf('1',plain,[-(subset(unordered_pair(3 ^ [], 4 ^ []), singleton(5 ^ [])))],start(1)).
% 29.39/29.36 cnf('1.1',plain,[subset(unordered_pair(3 ^ [], 4 ^ []), singleton(5 ^ [])), -(3 ^ [] = 5 ^ [])],extension(5,bind([[_8465, _8410, _8519], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 29.39/29.36 cnf('1.1.1',plain,[3 ^ [] = 5 ^ [], -(unordered_pair(3 ^ [], 4 ^ []) = unordered_pair(5 ^ [], 5 ^ [])), 4 ^ [] = 5 ^ []],extension(6,bind([[_6877, _6944, _7010, _7075], [3 ^ [], 5 ^ [], 4 ^ [], 5 ^ []]]))).
% 29.39/29.36 cnf('1.1.1.1',plain,[unordered_pair(3 ^ [], 4 ^ []) = unordered_pair(5 ^ [], 5 ^ []), -(unordered_pair(3 ^ [], 4 ^ []) = singleton(5 ^ [])), unordered_pair(5 ^ [], 5 ^ []) = singleton(5 ^ [])],extension(8,bind([[_5109, _5165, _5220], [unordered_pair(3 ^ [], 4 ^ []), unordered_pair(5 ^ [], 5 ^ []), singleton(5 ^ [])]]))).
% 29.39/29.36 cnf('1.1.1.1.1',plain,[unordered_pair(3 ^ [], 4 ^ []) = singleton(5 ^ [])],extension(2)).
% 29.39/29.36 cnf('1.1.1.1.2',plain,[-(unordered_pair(5 ^ [], 5 ^ []) = singleton(5 ^ []))],extension(4,bind([[_8843], [5 ^ []]]))).
% 29.39/29.36 cnf('1.1.1.2',plain,[-(4 ^ [] = 5 ^ []), subset(unordered_pair(4 ^ [], 3 ^ []), singleton(5 ^ []))],extension(5,bind([[_8410, _8465, _8519], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 29.39/29.36 cnf('1.1.1.2.1',plain,[-(subset(unordered_pair(4 ^ [], 3 ^ []), singleton(5 ^ []))), subset(unordered_pair(3 ^ [], 4 ^ []), singleton(5 ^ [])), unordered_pair(3 ^ [], 4 ^ []) = unordered_pair(4 ^ [], 3 ^ []), singleton(5 ^ []) = singleton(5 ^ [])],extension(9,bind([[_5904, _5971, _6037, _6102], [unordered_pair(3 ^ [], 4 ^ []), unordered_pair(4 ^ [], 3 ^ []), singleton(5 ^ []), singleton(5 ^ [])]]))).
% 29.39/29.36 cnf('1.1.1.2.1.1',plain,[-(subset(unordered_pair(3 ^ [], 4 ^ []), singleton(5 ^ [])))],extension(1)).
% 29.39/29.36 cnf('1.1.1.2.1.2',plain,[-(unordered_pair(3 ^ [], 4 ^ []) = unordered_pair(4 ^ [], 3 ^ []))],extension(3,bind([[_7597, _7552], [4 ^ [], 3 ^ []]]))).
% 29.39/29.36 cnf('1.1.1.2.1.3',plain,[-(singleton(5 ^ []) = singleton(5 ^ []))],extension(7,bind([[_4677], [singleton(5 ^ [])]]))).
% 29.39/29.36 %-----------------------------------------------------
% 29.39/29.36
% 29.39/29.36 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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