TSTP Solution File: SET873+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET873+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 02:56:44 EDT 2022
% Result : Theorem 0.32s 1.40s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET873+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n018.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 : Sat Jul 9 20:09:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.32/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.42
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.42 fof(t13_zfmisc_1, conjecture, ! [_19937, _19940] : (set_union2(singleton(_19937), singleton(_19940)) = singleton(_19937) => _19937 = _19940), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t13_zfmisc_1)).
% 0.32/1.42 fof(commutativity_k2_xboole_0, axiom, ! [_20130, _20133] : set_union2(_20130, _20133) = set_union2(_20133, _20130), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_xboole_0)).
% 0.32/1.42 fof(reflexivity_r1_tarski, axiom, ! [_20281, _20284] : subset(_20281, _20281), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 0.32/1.42 fof(l21_zfmisc_1, axiom, ! [_20399, _20402] : (subset(set_union2(singleton(_20399), _20402), _20402) => in(_20399, _20402)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l21_zfmisc_1)).
% 0.32/1.42 fof(d1_tarski, axiom, ! [_20570, _20573] : (_20573 = singleton(_20570) <=> ! [_20591] : (in(_20591, _20573) <=> _20591 = _20570)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.32/1.42
% 0.32/1.42 cnf(1, plain, [-(set_union2(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ []))], clausify(t13_zfmisc_1)).
% 0.32/1.42 cnf(2, plain, [4 ^ [] = 5 ^ []], clausify(t13_zfmisc_1)).
% 0.32/1.42 cnf(3, plain, [-(set_union2(_9909, _9954) = set_union2(_9954, _9909))], clausify(commutativity_k2_xboole_0)).
% 0.32/1.42 cnf(4, plain, [-(subset(_12348, _12348))], clausify(reflexivity_r1_tarski)).
% 0.32/1.42 cnf(5, plain, [subset(set_union2(singleton(_11661), _11711), _11711), -(in(_11661, _11711))], clausify(l21_zfmisc_1)).
% 0.32/1.42 cnf(6, plain, [_10277 = singleton(_10219), in(_10409, _10277), -(_10409 = _10219)], clausify(d1_tarski)).
% 0.32/1.42 cnf(7, plain, [-(set_union2(_8585, _8718) = set_union2(_8652, _8783)), _8585 = _8652, _8718 = _8783], theory(equality)).
% 0.32/1.42 cnf(8, plain, [-(_6065 = _6065)], theory(equality)).
% 0.32/1.42 cnf(9, plain, [_6218 = _6263, -(_6263 = _6218)], theory(equality)).
% 0.32/1.42 cnf(10, plain, [-(subset(_7983, _8114)), subset(_7916, _8049), _7916 = _7983, _8049 = _8114], theory(equality)).
% 0.32/1.42
% 0.32/1.42 cnf('1',plain,[4 ^ [] = 5 ^ []],start(2)).
% 0.32/1.42 cnf('1.1',plain,[-(4 ^ [] = 5 ^ []), 5 ^ [] = 4 ^ []],extension(9,bind([[_6218, _6263], [5 ^ [], 4 ^ []]]))).
% 0.32/1.42 cnf('1.1.1',plain,[-(5 ^ [] = 4 ^ []), set_union2(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ []), in(5 ^ [], set_union2(singleton(4 ^ []), singleton(5 ^ [])))],extension(6,bind([[_10219, _10409, _10277], [4 ^ [], 5 ^ [], set_union2(singleton(4 ^ []), singleton(5 ^ []))]]))).
% 0.32/1.42 cnf('1.1.1.1',plain,[-(set_union2(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.1.1.2',plain,[-(in(5 ^ [], set_union2(singleton(4 ^ []), singleton(5 ^ [])))), subset(set_union2(singleton(5 ^ []), set_union2(singleton(4 ^ []), singleton(5 ^ []))), set_union2(singleton(4 ^ []), singleton(5 ^ [])))],extension(5,bind([[_11661, _11711], [5 ^ [], set_union2(singleton(4 ^ []), singleton(5 ^ []))]]))).
% 0.32/1.42 cnf('1.1.1.2.1',plain,[-(subset(set_union2(singleton(5 ^ []), set_union2(singleton(4 ^ []), singleton(5 ^ []))), set_union2(singleton(4 ^ []), singleton(5 ^ [])))), subset(set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ [])), set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ []))), set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ [])) = set_union2(singleton(5 ^ []), set_union2(singleton(4 ^ []), singleton(5 ^ []))), set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ [])) = set_union2(singleton(4 ^ []), singleton(5 ^ []))],extension(10,bind([[_7916, _7983, _8049, _8114], [set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ [])), set_union2(singleton(5 ^ []), set_union2(singleton(4 ^ []), singleton(5 ^ []))), set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ [])), set_union2(singleton(4 ^ []), singleton(5 ^ []))]]))).
% 0.32/1.42 cnf('1.1.1.2.1.1',plain,[-(subset(set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ [])), set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ []))))],extension(4,bind([[_12348], [set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ []))]]))).
% 0.32/1.42 cnf('1.1.1.2.1.2',plain,[-(set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ [])) = set_union2(singleton(5 ^ []), set_union2(singleton(4 ^ []), singleton(5 ^ []))))],extension(3,bind([[_9954, _9909], [singleton(5 ^ []), set_union2(singleton(4 ^ []), singleton(5 ^ []))]]))).
% 0.32/1.42 cnf('1.1.1.2.1.3',plain,[-(set_union2(set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(5 ^ [])) = set_union2(singleton(4 ^ []), singleton(5 ^ []))), set_union2(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ []), singleton(5 ^ []) = singleton(5 ^ [])],extension(7,bind([[_8585, _8652, _8718, _8783], [set_union2(singleton(4 ^ []), singleton(5 ^ [])), singleton(4 ^ []), singleton(5 ^ []), singleton(5 ^ [])]]))).
% 0.32/1.42 cnf('1.1.1.2.1.3.1',plain,[-(set_union2(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.1.1.2.1.3.2',plain,[-(singleton(5 ^ []) = singleton(5 ^ []))],extension(8,bind([[_6065], [singleton(5 ^ [])]]))).
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.42
% 0.32/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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