TSTP Solution File: SEU138+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU138+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 12:00:22 EDT 2022
% Result : Theorem 7.25s 7.61s
% Output : Proof 7.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU138+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 23:51:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.25/7.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.25/7.62 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.25/7.63
% 7.25/7.63 %-----------------------------------------------------
% 7.25/7.63 fof(t48_xboole_1, conjecture, ! [_69485, _69488] : set_difference(_69485, set_difference(_69485, _69488)) = set_intersection2(_69485, _69488), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t48_xboole_1)).
% 7.25/7.63 fof(d2_xboole_0, axiom, ! [_69720, _69723, _69726] : (_69726 = set_union2(_69720, _69723) <=> ! [_69747] : (in(_69747, _69726) <=> in(_69747, _69720) | in(_69747, _69723))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 7.25/7.63 fof(d3_xboole_0, axiom, ! [_69983, _69986, _69989] : (_69989 = set_intersection2(_69983, _69986) <=> ! [_70010] : (in(_70010, _69989) <=> in(_70010, _69983) & in(_70010, _69986))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 7.25/7.63 fof(d4_xboole_0, axiom, ! [_70266, _70269, _70272] : (_70272 = set_difference(_70266, _70269) <=> ! [_70293] : (in(_70293, _70272) <=> in(_70293, _70266) & ~ in(_70293, _70269))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 7.25/7.63 fof(t12_xboole_1, lemma, ! [_70589, _70592] : (subset(_70589, _70592) => set_union2(_70589, _70592) = _70592), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_xboole_1)).
% 7.25/7.63 fof(t17_xboole_1, lemma, ! [_70747, _70750] : subset(set_intersection2(_70747, _70750), _70747), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t17_xboole_1)).
% 7.25/7.63
% 7.25/7.63 cnf(1, plain, [set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ [])) = set_intersection2(11 ^ [], 12 ^ [])], clausify(t48_xboole_1)).
% 7.25/7.63 cnf(2, plain, [-(set_difference(_21909, _22042) = set_difference(_21976, _22107)), _21909 = _21976, _22042 = _22107], theory(equality)).
% 7.25/7.63 cnf(3, plain, [-(set_intersection2(_22533, _22666) = set_intersection2(_22600, _22731)), _22533 = _22600, _22666 = _22731], theory(equality)).
% 7.25/7.63 cnf(4, plain, [-(_18750 = _18750)], theory(equality)).
% 7.25/7.63 cnf(5, plain, [_18903 = _18948, -(_18948 = _18903)], theory(equality)).
% 7.25/7.63 cnf(6, plain, [-(in(_20678, _20809)), in(_20611, _20744), _20611 = _20678, _20744 = _20809], theory(equality)).
% 7.25/7.63 cnf(7, plain, [_25646 = set_union2(_25507, _25577), -(in(_25810, _25646)), in(_25810, _25507)], clausify(d2_xboole_0)).
% 7.25/7.63 cnf(8, plain, [_26792 = set_intersection2(_26653, _26723), in(_26956, _26792), -(in(_26956, _26653))], clausify(d3_xboole_0)).
% 7.25/7.63 cnf(9, plain, [_26792 = set_intersection2(_26653, _26723), in(_26956, _26792), -(in(_26956, _26723))], clausify(d3_xboole_0)).
% 7.25/7.63 cnf(10, plain, [_26792 = set_intersection2(_26653, _26723), -(in(_26956, _26792)), in(_26956, _26653), in(_26956, _26723)], clausify(d3_xboole_0)).
% 7.25/7.63 cnf(11, plain, [_27481 = set_difference(_27338, _27410), in(_27647, _27481), in(_27647, _27410)], clausify(d4_xboole_0)).
% 7.25/7.63 cnf(12, plain, [_27481 = set_difference(_27338, _27410), -(in(_27647, _27481)), in(_27647, _27338), -(in(_27647, _27410))], clausify(d4_xboole_0)).
% 7.25/7.63 cnf(13, plain, [-(_27481 = set_difference(_27338, _27410)), -(in(5 ^ [_27481, _27410, _27338], _27481)), -(in(5 ^ [_27481, _27410, _27338], _27338))], clausify(d4_xboole_0)).
% 7.25/7.63 cnf(14, plain, [-(_27481 = set_difference(_27338, _27410)), -(in(5 ^ [_27481, _27410, _27338], _27481)), in(5 ^ [_27481, _27410, _27338], _27410)], clausify(d4_xboole_0)).
% 7.25/7.63 cnf(15, plain, [-(_27481 = set_difference(_27338, _27410)), in(5 ^ [_27481, _27410, _27338], _27481), in(5 ^ [_27481, _27410, _27338], _27338), -(in(5 ^ [_27481, _27410, _27338], _27410))], clausify(d4_xboole_0)).
% 7.25/7.63 cnf(16, plain, [subset(_31483, _31531), -(set_union2(_31483, _31531) = _31531)], clausify(t12_xboole_1)).
% 7.25/7.63 cnf(17, plain, [-(subset(set_intersection2(_31836, _31878), _31836))], clausify(t17_xboole_1)).
% 7.25/7.63
% 7.25/7.63 cnf('1',plain,[set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ [])) = set_intersection2(11 ^ [], 12 ^ [])],start(1)).
% 7.25/7.63 cnf('1.1',plain,[-(set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ [])) = set_intersection2(11 ^ [], 12 ^ [])), set_intersection2(11 ^ [], 12 ^ []) = set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))],extension(5,bind([[_18903, _18948], [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))]]))).
% 7.25/7.63 cnf('1.1.1',plain,[-(set_intersection2(11 ^ [], 12 ^ []) = set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ [])), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ []), -(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_difference(11 ^ [], 12 ^ [])))],extension(15,bind([[_27481, _27338, _27410], [set_intersection2(11 ^ [], 12 ^ []), 11 ^ [], set_difference(11 ^ [], 12 ^ [])]]))).
% 7.25/7.63 cnf('1.1.1.1',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ []))), set_intersection2(11 ^ [], 12 ^ []) = set_intersection2(11 ^ [], 12 ^ []), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ []), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 12 ^ [])],extension(10,bind([[_26792, _26653, _26956, _26723], [set_intersection2(11 ^ [], 12 ^ []), 11 ^ [], 5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 12 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.1.1',plain,[-(set_intersection2(11 ^ [], 12 ^ []) = set_intersection2(11 ^ [], 12 ^ [])), 11 ^ [] = 11 ^ [], 12 ^ [] = 12 ^ []],extension(3,bind([[_22533, _22600, _22666, _22731], [11 ^ [], 11 ^ [], 12 ^ [], 12 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.1.1.1',plain,[-(11 ^ [] = 11 ^ [])],extension(4,bind([[_18750], [11 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.1.1.2',plain,[-(12 ^ [] = 12 ^ [])],extension(4,bind([[_18750], [12 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.1.2',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ [])), set_intersection2(11 ^ [], 12 ^ []) = set_intersection2(11 ^ [], 12 ^ []), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ []))],extension(8,bind([[_26653, _26723, _26956, _26792], [11 ^ [], 12 ^ [], 5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ [])]]))).
% 7.25/7.63 cnf('1.1.1.1.2.1',plain,[-(set_intersection2(11 ^ [], 12 ^ []) = set_intersection2(11 ^ [], 12 ^ []))],extension(4,bind([[_18750], [set_intersection2(11 ^ [], 12 ^ [])]]))).
% 7.25/7.63 cnf('1.1.1.1.2.2',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ []))), -(set_intersection2(11 ^ [], 12 ^ []) = set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))), -(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ []))],extension(13,bind([[_27481, _27410, _27338], [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.1.2.2.1',plain,[set_intersection2(11 ^ [], 12 ^ []) = set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))],reduction('1.1')).
% 7.25/7.63 cnf('1.1.1.1.2.2.2',plain,[in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ [])],reduction('1.1.1.1')).
% 7.25/7.63 cnf('1.1.1.1.3',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 12 ^ [])), set_difference(11 ^ [], 12 ^ []) = set_difference(11 ^ [], 12 ^ []), -(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_difference(11 ^ [], 12 ^ []))), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ [])],extension(12,bind([[_27410, _27481, _27647, _27338], [12 ^ [], set_difference(11 ^ [], 12 ^ []), 5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.1.3.1',plain,[-(set_difference(11 ^ [], 12 ^ []) = set_difference(11 ^ [], 12 ^ []))],extension(4,bind([[_18750], [set_difference(11 ^ [], 12 ^ [])]]))).
% 7.25/7.63 cnf('1.1.1.1.3.2',plain,[in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_difference(11 ^ [], 12 ^ [])), -(set_intersection2(11 ^ [], 12 ^ []) = set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))), -(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ [])))],extension(14,bind([[_27410, _27338, _27481], [set_difference(11 ^ [], 12 ^ []), 11 ^ [], set_intersection2(11 ^ [], 12 ^ [])]]))).
% 7.25/7.63 cnf('1.1.1.1.3.2.1',plain,[set_intersection2(11 ^ [], 12 ^ []) = set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))],reduction('1.1')).
% 7.25/7.63 cnf('1.1.1.1.3.2.2',plain,[in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ []))],reduction('1.1.1')).
% 7.25/7.63 cnf('1.1.1.1.3.3',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ []))],lemmata('1.1.1.1')).
% 7.25/7.63 cnf('1.1.1.2',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ [])), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ [])), 5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []] = 5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ []) = 11 ^ []],extension(6,bind([[_20611, _20678, _20744, _20809], [5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ []), 11 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.2.1',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ []))), set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ []) = set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ []), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ []))],extension(7,bind([[_25646, _25577, _25810, _25507], [set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ []), 11 ^ [], 5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ [])]]))).
% 7.25/7.63 cnf('1.1.1.2.1.1',plain,[-(set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ []) = set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ []))],extension(4,bind([[_18750], [set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ [])]]))).
% 7.25/7.63 cnf('1.1.1.2.1.2',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ []))), -(set_intersection2(11 ^ [], 12 ^ []) = set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))), -(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ []))],extension(13,bind([[_27481, _27410, _27338], [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.2.1.2.1',plain,[set_intersection2(11 ^ [], 12 ^ []) = set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))],reduction('1.1')).
% 7.25/7.63 cnf('1.1.1.2.1.2.2',plain,[in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 11 ^ [])],reduction('1.1.1')).
% 7.25/7.63 cnf('1.1.1.2.2',plain,[-(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []] = 5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []])],extension(4,bind([[_18750], [5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []]]]))).
% 7.25/7.63 cnf('1.1.1.2.3',plain,[-(set_union2(set_intersection2(11 ^ [], 12 ^ []), 11 ^ []) = 11 ^ []), subset(set_intersection2(11 ^ [], 12 ^ []), 11 ^ [])],extension(16,bind([[_31483, _31531], [set_intersection2(11 ^ [], 12 ^ []), 11 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.2.3.1',plain,[-(subset(set_intersection2(11 ^ [], 12 ^ []), 11 ^ []))],extension(17,bind([[_31878, _31836], [12 ^ [], 11 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.3',plain,[in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_difference(11 ^ [], 12 ^ [])), set_difference(11 ^ [], 12 ^ []) = set_difference(11 ^ [], 12 ^ []), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 12 ^ [])],extension(11,bind([[_27481, _27338, _27647, _27410], [set_difference(11 ^ [], 12 ^ []), 11 ^ [], 5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 12 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.3.1',plain,[-(set_difference(11 ^ [], 12 ^ []) = set_difference(11 ^ [], 12 ^ [])), 11 ^ [] = 11 ^ [], 12 ^ [] = 12 ^ []],extension(2,bind([[_21909, _21976, _22042, _22107], [11 ^ [], 11 ^ [], 12 ^ [], 12 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.3.1.1',plain,[-(11 ^ [] = 11 ^ [])],extension(4,bind([[_18750], [11 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.3.1.2',plain,[-(12 ^ [] = 12 ^ [])],extension(4,bind([[_18750], [12 ^ []]]))).
% 7.25/7.63 cnf('1.1.1.3.2',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], 12 ^ [])), set_intersection2(11 ^ [], 12 ^ []) = set_intersection2(11 ^ [], 12 ^ []), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ []))],extension(9,bind([[_26653, _26723, _26956, _26792], [11 ^ [], 12 ^ [], 5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ [])]]))).
% 7.25/7.63 cnf('1.1.1.3.2.1',plain,[-(set_intersection2(11 ^ [], 12 ^ []) = set_intersection2(11 ^ [], 12 ^ []))],extension(4,bind([[_18750], [set_intersection2(11 ^ [], 12 ^ [])]]))).
% 7.25/7.63 cnf('1.1.1.3.2.2',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_intersection2(11 ^ [], 12 ^ []))), -(set_intersection2(11 ^ [], 12 ^ []) = set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))), in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_difference(11 ^ [], 12 ^ []))],extension(14,bind([[_27481, _27338, _27410], [set_intersection2(11 ^ [], 12 ^ []), 11 ^ [], set_difference(11 ^ [], 12 ^ [])]]))).
% 7.25/7.63 cnf('1.1.1.3.2.2.1',plain,[set_intersection2(11 ^ [], 12 ^ []) = set_difference(11 ^ [], set_difference(11 ^ [], 12 ^ []))],reduction('1.1')).
% 7.25/7.63 cnf('1.1.1.3.2.2.2',plain,[-(in(5 ^ [set_intersection2(11 ^ [], 12 ^ []), set_difference(11 ^ [], 12 ^ []), 11 ^ []], set_difference(11 ^ [], 12 ^ [])))],reduction('1.1.1')).
% 7.25/7.63 %-----------------------------------------------------
% 7.28/7.63
% 7.28/7.63 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------