TSTP Solution File: SET874+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET874+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 02:56:45 EDT 2022
% Result : Theorem 0.35s 1.43s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET874+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jul 11 06:50:34 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.35/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.44
% 0.35/1.44 %-----------------------------------------------------
% 0.35/1.44 fof(t14_zfmisc_1, conjecture, ! [_18800, _18803] : set_union2(singleton(_18800), unordered_pair(_18800, _18803)) = unordered_pair(_18800, _18803), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t14_zfmisc_1)).
% 0.35/1.44 fof(commutativity_k2_tarski, axiom, ! [_18972, _18975] : unordered_pair(_18972, _18975) = unordered_pair(_18975, _18972), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 0.35/1.44 fof(l23_zfmisc_1, axiom, ! [_19124, _19127] : (in(_19124, _19127) => set_union2(singleton(_19124), _19127) = _19127), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l23_zfmisc_1)).
% 0.35/1.44 fof(d2_tarski, axiom, ! [_19292, _19295, _19298] : (_19298 = unordered_pair(_19292, _19295) <=> ! [_19319] : (in(_19319, _19298) <=> _19319 = _19292 | _19319 = _19295)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 0.35/1.44
% 0.35/1.44 cnf(1, plain, [set_union2(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = unordered_pair(4 ^ [], 5 ^ [])], clausify(t14_zfmisc_1)).
% 0.35/1.44 cnf(2, plain, [-(unordered_pair(_10053, _10098) = unordered_pair(_10098, _10053))], clausify(commutativity_k2_tarski)).
% 0.35/1.44 cnf(3, plain, [in(_12319, _12369), -(set_union2(singleton(_12319), _12369) = _12369)], clausify(l23_zfmisc_1)).
% 0.35/1.44 cnf(4, plain, [_10812 = unordered_pair(_10673, _10743), -(in(_10976, _10812)), _10976 = _10743], clausify(d2_tarski)).
% 0.35/1.44 cnf(5, plain, [-(_6209 = _6209)], theory(equality)).
% 0.35/1.44
% 0.35/1.44 cnf('1',plain,[set_union2(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = unordered_pair(4 ^ [], 5 ^ [])],start(1)).
% 0.35/1.44 cnf('1.1',plain,[-(set_union2(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = unordered_pair(4 ^ [], 5 ^ [])), in(4 ^ [], unordered_pair(4 ^ [], 5 ^ []))],extension(3,bind([[_12319, _12369], [4 ^ [], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 0.35/1.44 cnf('1.1.1',plain,[-(in(4 ^ [], unordered_pair(4 ^ [], 5 ^ []))), unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 4 ^ []), 4 ^ [] = 4 ^ []],extension(4,bind([[_10812, _10673, _10976, _10743], [unordered_pair(4 ^ [], 5 ^ []), 5 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.35/1.44 cnf('1.1.1.1',plain,[-(unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 4 ^ []))],extension(2,bind([[_10098, _10053], [5 ^ [], 4 ^ []]]))).
% 0.35/1.44 cnf('1.1.1.2',plain,[-(4 ^ [] = 4 ^ [])],extension(5,bind([[_6209], [4 ^ []]]))).
% 0.35/1.44 %-----------------------------------------------------
% 0.35/1.45
% 0.35/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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