TSTP Solution File: SEU135+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU135+2 : TPTP v8.1.0. Released v3.3.0.
% 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 12:00:21 EDT 2022
% Result : Theorem 1.06s 1.39s
% Output : Proof 1.06s
% 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 : SEU135+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 19 23:53:18 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.06/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.40
% 1.06/1.40 %-----------------------------------------------------
% 1.06/1.40 fof(t39_xboole_1, conjecture, ! [_65886, _65889] : set_union2(_65886, set_difference(_65889, _65886)) = set_union2(_65886, _65889), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t39_xboole_1)).
% 1.06/1.40 fof(d2_xboole_0, axiom, ! [_66099, _66102, _66105] : (_66105 = set_union2(_66099, _66102) <=> ! [_66126] : (in(_66126, _66105) <=> in(_66126, _66099) | in(_66126, _66102))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 1.06/1.40 fof(d4_xboole_0, axiom, ! [_66423, _66426, _66429] : (_66429 = set_difference(_66423, _66426) <=> ! [_66450] : (in(_66450, _66429) <=> in(_66450, _66423) & ~ in(_66450, _66426))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 1.06/1.40
% 1.06/1.40 cnf(1, plain, [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])], clausify(t39_xboole_1)).
% 1.06/1.40 cnf(2, plain, [-(set_difference(_20937, _21070) = set_difference(_21004, _21135)), _20937 = _21004, _21070 = _21135], theory(equality)).
% 1.06/1.40 cnf(3, plain, [-(set_union2(_22175, _22308) = set_union2(_22242, _22373)), _22175 = _22242, _22308 = _22373], theory(equality)).
% 1.06/1.40 cnf(4, plain, [-(_17778 = _17778)], theory(equality)).
% 1.06/1.40 cnf(5, plain, [_24674 = set_union2(_24535, _24605), -(in(_24838, _24674)), in(_24838, _24535)], clausify(d2_xboole_0)).
% 1.06/1.40 cnf(6, plain, [_24674 = set_union2(_24535, _24605), -(in(_24838, _24674)), in(_24838, _24605)], clausify(d2_xboole_0)).
% 1.06/1.40 cnf(7, plain, [_24674 = set_union2(_24535, _24605), in(_24838, _24674), -(in(_24838, _24535)), -(in(_24838, _24605))], clausify(d2_xboole_0)).
% 1.06/1.40 cnf(8, plain, [-(_24674 = set_union2(_24535, _24605)), in(2 ^ [_24674, _24605, _24535], _24674), in(2 ^ [_24674, _24605, _24535], _24535)], clausify(d2_xboole_0)).
% 1.06/1.40 cnf(9, plain, [-(_24674 = set_union2(_24535, _24605)), in(2 ^ [_24674, _24605, _24535], _24674), in(2 ^ [_24674, _24605, _24535], _24605)], clausify(d2_xboole_0)).
% 1.06/1.40 cnf(10, plain, [-(_24674 = set_union2(_24535, _24605)), -(in(2 ^ [_24674, _24605, _24535], _24674)), -(in(2 ^ [_24674, _24605, _24535], _24535)), -(in(2 ^ [_24674, _24605, _24535], _24605))], clausify(d2_xboole_0)).
% 1.06/1.40 cnf(11, plain, [_26509 = set_difference(_26366, _26438), in(_26675, _26509), -(in(_26675, _26366))], clausify(d4_xboole_0)).
% 1.06/1.40 cnf(12, plain, [_26509 = set_difference(_26366, _26438), -(in(_26675, _26509)), in(_26675, _26366), -(in(_26675, _26438))], clausify(d4_xboole_0)).
% 1.06/1.40
% 1.06/1.40 cnf('1',plain,[set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])],start(1)).
% 1.06/1.40 cnf('1.1',plain,[-(set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])))), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ [])), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 12 ^ []))],extension(10,bind([[_24674, _24535, _24605], [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 11 ^ [], 12 ^ []]]))).
% 1.06/1.40 cnf('1.1.1',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))), set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ [])), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_difference(12 ^ [], 11 ^ [])))],extension(7,bind([[_24674, _24535, _24838, _24605], [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 11 ^ [], 2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_difference(12 ^ [], 11 ^ [])]]))).
% 1.06/1.40 cnf('1.1.1.1',plain,[-(set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))), 11 ^ [] = 11 ^ [], set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ [])],extension(3,bind([[_22175, _22242, _22308, _22373], [11 ^ [], 11 ^ [], set_difference(12 ^ [], 11 ^ []), set_difference(12 ^ [], 11 ^ [])]]))).
% 1.06/1.40 cnf('1.1.1.1.1',plain,[-(11 ^ [] = 11 ^ [])],extension(4,bind([[_17778], [11 ^ []]]))).
% 1.06/1.40 cnf('1.1.1.1.2',plain,[-(set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ []))],extension(4,bind([[_17778], [set_difference(12 ^ [], 11 ^ [])]]))).
% 1.06/1.40 cnf('1.1.1.2',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ []), set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))))],extension(5,bind([[_24535, _24605, _24838, _24674], [11 ^ [], set_difference(12 ^ [], 11 ^ []), 2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))]]))).
% 1.06/1.40 cnf('1.1.1.2.1',plain,[-(set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])))],extension(4,bind([[_17778], [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))]]))).
% 1.06/1.40 cnf('1.1.1.2.2',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))), -(set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])), in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ [])],extension(8,bind([[_24674, _24605, _24535], [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []]]))).
% 1.06/1.40 cnf('1.1.1.2.2.1',plain,[set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])],extension(1)).
% 1.06/1.40 cnf('1.1.1.2.2.2',plain,[-(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ []))],reduction('1.1.1')).
% 1.06/1.40 cnf('1.1.1.3',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_difference(12 ^ [], 11 ^ [])), set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ []), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 12 ^ []))],extension(11,bind([[_26509, _26438, _26675, _26366], [set_difference(12 ^ [], 11 ^ []), 11 ^ [], 2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 12 ^ []]]))).
% 1.06/1.40 cnf('1.1.1.3.1',plain,[-(set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ []))],extension(4,bind([[_17778], [set_difference(12 ^ [], 11 ^ [])]]))).
% 1.06/1.40 cnf('1.1.1.3.2',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 12 ^ []), -(set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])), in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])))],extension(9,bind([[_24605, _24535, _24674], [12 ^ [], 11 ^ [], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))]]))).
% 1.06/1.40 cnf('1.1.1.3.2.1',plain,[set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])],extension(1)).
% 1.06/1.40 cnf('1.1.1.3.2.2',plain,[-(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))))],reduction('1.1')).
% 1.06/1.40 cnf('1.1.2',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ []), set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))))],extension(5,bind([[_24535, _24605, _24838, _24674], [11 ^ [], set_difference(12 ^ [], 11 ^ []), 2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))]]))).
% 1.06/1.40 cnf('1.1.2.1',plain,[-(set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))), 11 ^ [] = 11 ^ [], set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ [])],extension(3,bind([[_22175, _22242, _22308, _22373], [11 ^ [], 11 ^ [], set_difference(12 ^ [], 11 ^ []), set_difference(12 ^ [], 11 ^ [])]]))).
% 1.06/1.40 cnf('1.1.2.1.1',plain,[-(11 ^ [] = 11 ^ [])],extension(4,bind([[_17778], [11 ^ []]]))).
% 1.06/1.40 cnf('1.1.2.1.2',plain,[-(set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ []))],extension(4,bind([[_17778], [set_difference(12 ^ [], 11 ^ [])]]))).
% 1.06/1.40 cnf('1.1.2.2',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))), -(set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])), in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ [])],extension(8,bind([[_24674, _24605, _24535], [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []]]))).
% 1.06/1.40 cnf('1.1.2.2.1',plain,[set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])],extension(1)).
% 1.06/1.40 cnf('1.1.2.2.2',plain,[-(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ []))],reduction('1.1')).
% 1.06/1.40 cnf('1.1.3',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 12 ^ []), set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ []), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_difference(12 ^ [], 11 ^ []))), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ []))],extension(12,bind([[_26366, _26509, _26675, _26438], [12 ^ [], set_difference(12 ^ [], 11 ^ []), 2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ []]]))).
% 1.06/1.40 cnf('1.1.3.1',plain,[-(set_difference(12 ^ [], 11 ^ []) = set_difference(12 ^ [], 11 ^ [])), 12 ^ [] = 12 ^ [], 11 ^ [] = 11 ^ []],extension(2,bind([[_20937, _21004, _21070, _21135], [12 ^ [], 12 ^ [], 11 ^ [], 11 ^ []]]))).
% 1.06/1.40 cnf('1.1.3.1.1',plain,[-(12 ^ [] = 12 ^ [])],extension(4,bind([[_17778], [12 ^ []]]))).
% 1.06/1.40 cnf('1.1.3.1.2',plain,[-(11 ^ [] = 11 ^ [])],extension(4,bind([[_17778], [11 ^ []]]))).
% 1.06/1.40 cnf('1.1.3.2',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_difference(12 ^ [], 11 ^ [])), set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), -(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))))],extension(6,bind([[_24535, _24605, _24838, _24674], [11 ^ [], set_difference(12 ^ [], 11 ^ []), 2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))]]))).
% 1.06/1.40 cnf('1.1.3.2.1',plain,[-(set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])))],extension(4,bind([[_17778], [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))]]))).
% 1.06/1.40 cnf('1.1.3.2.2',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ []))), -(set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])), in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 12 ^ [])],extension(9,bind([[_24674, _24535, _24605], [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 11 ^ [], 12 ^ []]]))).
% 1.06/1.40 cnf('1.1.3.2.2.1',plain,[set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])) = set_union2(11 ^ [], 12 ^ [])],extension(1)).
% 1.06/1.40 cnf('1.1.3.2.2.2',plain,[-(in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 12 ^ []))],reduction('1.1')).
% 1.06/1.40 cnf('1.1.3.3',plain,[in(2 ^ [set_union2(11 ^ [], set_difference(12 ^ [], 11 ^ [])), 12 ^ [], 11 ^ []], 11 ^ [])],lemmata('1.1')).
% 1.06/1.40 %-----------------------------------------------------
% 1.06/1.41
% 1.06/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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