%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU170+1 : 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 12:00:42 EDT 2022
% Result : Theorem 113.61s 110.28s
% Output : Proof 113.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU170+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n014.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 05:25:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 113.61/110.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.61/110.29 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.61/110.29
% 113.61/110.29 %-----------------------------------------------------
% 113.61/110.29 fof(t43_subset_1, conjecture, ! [_42021, _42024] : (element(_42024, powerset(_42021)) => ! [_42046] : (element(_42046, powerset(_42021)) => (disjoint(_42024, _42046) <=> subset(_42024, subset_complement(_42021, _42046))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t43_subset_1)).
% 113.61/110.29 fof(d3_tarski, axiom, ! [_42387, _42390] : (subset(_42387, _42390) <=> ! [_42408] : (in(_42408, _42387) => in(_42408, _42390))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 113.61/110.29 fof(d4_xboole_0, axiom, ! [_42616, _42619, _42622] : (_42622 = set_difference(_42616, _42619) <=> ! [_42643] : (in(_42643, _42622) <=> in(_42643, _42616) & ~ in(_42643, _42619))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 113.61/110.29 fof(d5_subset_1, axiom, ! [_42893, _42896] : (element(_42896, powerset(_42893)) => subset_complement(_42893, _42896) = set_difference(_42893, _42896)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_subset_1)).
% 113.61/110.29 fof(l3_subset_1, axiom, ! [_43081, _43084] : (element(_43084, powerset(_43081)) => ! [_43106] : (in(_43106, _43084) => in(_43106, _43081))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l3_subset_1)).
% 113.61/110.29 fof(t3_xboole_0, axiom, ! [_43303, _43306] : (~ (~ disjoint(_43303, _43306) & ! [_43328] : ~ (in(_43328, _43303) & in(_43328, _43306))) & ~ (? [_43328] : (in(_43328, _43303) & in(_43328, _43306)) & disjoint(_43303, _43306))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_xboole_0)).
% 113.61/110.29
% 113.61/110.29 cnf(1, plain, [-(13 ^ []), disjoint(10 ^ [], 11 ^ [])], clausify(t43_subset_1)).
% 113.61/110.29 cnf(2, plain, [-(13 ^ []), -(subset(10 ^ [], subset_complement(9 ^ [], 11 ^ [])))], clausify(t43_subset_1)).
% 113.61/110.29 cnf(3, plain, [-(12 ^ []), subset(10 ^ [], subset_complement(9 ^ [], 11 ^ []))], clausify(t43_subset_1)).
% 113.61/110.29 cnf(4, plain, [-(12 ^ []), -(disjoint(10 ^ [], 11 ^ []))], clausify(t43_subset_1)).
% 113.61/110.29 cnf(5, plain, [-(element(10 ^ [], powerset(9 ^ [])))], clausify(t43_subset_1)).
% 113.61/110.29 cnf(6, plain, [-(element(11 ^ [], powerset(9 ^ [])))], clausify(t43_subset_1)).
% 113.61/110.29 cnf(7, plain, [12 ^ [], 13 ^ []], clausify(t43_subset_1)).
% 113.61/110.29 cnf(8, plain, [-(_11047 = _11047)], theory(equality)).
% 113.61/110.29 cnf(9, plain, [-(in(_13599, _13730)), in(_13532, _13665), _13532 = _13599, _13665 = _13730], theory(equality)).
% 113.61/110.29 cnf(10, plain, [-(subset(_16808, _16864)), -(in(1 ^ [_16864, _16808], _16808))], clausify(d3_tarski)).
% 113.61/110.29 cnf(11, plain, [-(subset(_16808, _16864)), in(1 ^ [_16864, _16808], _16864)], clausify(d3_tarski)).
% 113.61/110.29 cnf(12, plain, [subset(_16808, _16864), in(_16978, _16808), -(in(_16978, _16864))], clausify(d3_tarski)).
% 113.61/110.29 cnf(13, plain, [_17412 = set_difference(_17269, _17341), in(_17578, _17412), in(_17578, _17341)], clausify(d4_xboole_0)).
% 113.61/110.29 cnf(14, plain, [_17412 = set_difference(_17269, _17341), -(in(_17578, _17412)), in(_17578, _17269), -(in(_17578, _17341))], clausify(d4_xboole_0)).
% 113.61/110.29 cnf(15, plain, [element(_18031, powerset(_17978)), -(subset_complement(_17978, _18031) = set_difference(_17978, _18031))], clausify(d5_subset_1)).
% 113.61/110.29 cnf(16, plain, [element(_20318, powerset(_20260)), in(_20450, _20318), -(in(_20450, _20260))], clausify(l3_subset_1)).
% 113.61/110.29 cnf(17, plain, [-(disjoint(_22525, _22612)), -(in(8 ^ [_22612, _22525], _22525))], clausify(t3_xboole_0)).
% 113.61/110.29 cnf(18, plain, [-(disjoint(_22525, _22612)), -(in(8 ^ [_22612, _22525], _22612))], clausify(t3_xboole_0)).
% 113.61/110.29 cnf(19, plain, [disjoint(_22525, _22612), in(_23029, _22525), in(_23029, _22612)], clausify(t3_xboole_0)).
% 113.61/110.29
% 113.61/110.29 cnf('1',plain,[12 ^ [], 13 ^ []],start(7)).
% 113.61/110.29 cnf('1.1',plain,[-(12 ^ []), -(disjoint(10 ^ [], 11 ^ []))],extension(4)).
% 113.61/110.29 cnf('1.1.1',plain,[disjoint(10 ^ [], 11 ^ []), in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 10 ^ []), in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 11 ^ [])],extension(19,bind([[_22525, _23029, _22612], [10 ^ [], 1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 11 ^ []]]))).
% 113.61/110.29 cnf('1.1.1.1',plain,[-(in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 10 ^ [])), in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 10 ^ []), 1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []] = 1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 10 ^ [] = 10 ^ []],extension(9,bind([[_13532, _13599, _13665, _13730], [1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 10 ^ [], 10 ^ []]]))).
% 113.61/110.29 cnf('1.1.1.1.1',plain,[-(in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 10 ^ [])), -(subset(10 ^ [], subset_complement(9 ^ [], 11 ^ [])))],extension(10,bind([[_16808, _16864], [10 ^ [], subset_complement(9 ^ [], 11 ^ [])]]))).
% 113.61/110.29 cnf('1.1.1.1.1.1',plain,[subset(10 ^ [], subset_complement(9 ^ [], 11 ^ [])), -(12 ^ [])],extension(3)).
% 113.61/110.29 cnf('1.1.1.1.1.1.1',plain,[12 ^ []],reduction('1')).
% 113.61/110.29 cnf('1.1.1.1.2',plain,[-(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []] = 1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []])],extension(8,bind([[_11047], [1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []]]]))).
% 113.61/110.29 cnf('1.1.1.1.3',plain,[-(10 ^ [] = 10 ^ [])],extension(8,bind([[_11047], [10 ^ []]]))).
% 113.61/110.29 cnf('1.1.1.2',plain,[-(in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 11 ^ [])), subset_complement(9 ^ [], 11 ^ []) = set_difference(9 ^ [], 11 ^ []), -(in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], subset_complement(9 ^ [], 11 ^ []))), in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 9 ^ [])],extension(14,bind([[_17341, _17412, _17578, _17269], [11 ^ [], subset_complement(9 ^ [], 11 ^ []), 1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 9 ^ []]]))).
% 113.61/110.29 cnf('1.1.1.2.1',plain,[-(subset_complement(9 ^ [], 11 ^ []) = set_difference(9 ^ [], 11 ^ [])), element(11 ^ [], powerset(9 ^ []))],extension(15,bind([[_18031, _17978], [11 ^ [], 9 ^ []]]))).
% 113.61/110.29 cnf('1.1.1.2.1.1',plain,[-(element(11 ^ [], powerset(9 ^ [])))],extension(6)).
% 113.61/110.29 cnf('1.1.1.2.2',plain,[in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], subset_complement(9 ^ [], 11 ^ [])), -(subset(10 ^ [], subset_complement(9 ^ [], 11 ^ [])))],extension(11,bind([[_16808, _16864], [10 ^ [], subset_complement(9 ^ [], 11 ^ [])]]))).
% 113.61/110.29 cnf('1.1.1.2.2.1',plain,[subset(10 ^ [], subset_complement(9 ^ [], 11 ^ [])), -(12 ^ [])],extension(3)).
% 113.61/110.29 cnf('1.1.1.2.2.1.1',plain,[12 ^ []],reduction('1')).
% 113.61/110.29 cnf('1.1.1.2.3',plain,[-(in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 9 ^ [])), element(10 ^ [], powerset(9 ^ [])), in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 10 ^ [])],extension(16,bind([[_20260, _20450, _20318], [9 ^ [], 1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 10 ^ []]]))).
% 113.61/110.29 cnf('1.1.1.2.3.1',plain,[-(element(10 ^ [], powerset(9 ^ [])))],extension(5)).
% 113.61/110.29 cnf('1.1.1.2.3.2',plain,[-(in(1 ^ [subset_complement(9 ^ [], 11 ^ []), 10 ^ []], 10 ^ []))],lemmata('1.1.1')).
% 113.61/110.29 cnf('1.2',plain,[-(13 ^ []), -(subset(10 ^ [], subset_complement(9 ^ [], 11 ^ [])))],extension(2)).
% 113.61/110.29 cnf('1.2.1',plain,[subset(10 ^ [], subset_complement(9 ^ [], 11 ^ [])), in(8 ^ [11 ^ [], 10 ^ []], 10 ^ []), -(in(8 ^ [11 ^ [], 10 ^ []], subset_complement(9 ^ [], 11 ^ [])))],extension(12,bind([[_16808, _16978, _16864], [10 ^ [], 8 ^ [11 ^ [], 10 ^ []], subset_complement(9 ^ [], 11 ^ [])]]))).
% 113.61/110.29 cnf('1.2.1.1',plain,[-(in(8 ^ [11 ^ [], 10 ^ []], 10 ^ [])), in(8 ^ [11 ^ [], 10 ^ []], 10 ^ []), 8 ^ [11 ^ [], 10 ^ []] = 8 ^ [11 ^ [], 10 ^ []], 10 ^ [] = 10 ^ []],extension(9,bind([[_13532, _13599, _13665, _13730], [8 ^ [11 ^ [], 10 ^ []], 8 ^ [11 ^ [], 10 ^ []], 10 ^ [], 10 ^ []]]))).
% 113.61/110.29 cnf('1.2.1.1.1',plain,[-(in(8 ^ [11 ^ [], 10 ^ []], 10 ^ [])), -(disjoint(10 ^ [], 11 ^ []))],extension(17,bind([[_22525, _22612], [10 ^ [], 11 ^ []]]))).
% 113.61/110.29 cnf('1.2.1.1.1.1',plain,[disjoint(10 ^ [], 11 ^ []), -(13 ^ [])],extension(1)).
% 113.61/110.29 cnf('1.2.1.1.1.1.1',plain,[13 ^ []],reduction('1')).
% 113.61/110.29 cnf('1.2.1.1.2',plain,[-(8 ^ [11 ^ [], 10 ^ []] = 8 ^ [11 ^ [], 10 ^ []])],extension(8,bind([[_11047], [8 ^ [11 ^ [], 10 ^ []]]]))).
% 113.61/110.29 cnf('1.2.1.1.3',plain,[-(10 ^ [] = 10 ^ [])],extension(8,bind([[_11047], [10 ^ []]]))).
% 113.61/110.29 cnf('1.2.1.2',plain,[in(8 ^ [11 ^ [], 10 ^ []], subset_complement(9 ^ [], 11 ^ [])), subset_complement(9 ^ [], 11 ^ []) = set_difference(9 ^ [], 11 ^ []), in(8 ^ [11 ^ [], 10 ^ []], 11 ^ [])],extension(13,bind([[_17412, _17269, _17578, _17341], [subset_complement(9 ^ [], 11 ^ []), 9 ^ [], 8 ^ [11 ^ [], 10 ^ []], 11 ^ []]]))).
% 113.61/110.29 cnf('1.2.1.2.1',plain,[-(subset_complement(9 ^ [], 11 ^ []) = set_difference(9 ^ [], 11 ^ [])), element(11 ^ [], powerset(9 ^ []))],extension(15,bind([[_18031, _17978], [11 ^ [], 9 ^ []]]))).
% 113.61/110.29 cnf('1.2.1.2.1.1',plain,[-(element(11 ^ [], powerset(9 ^ [])))],extension(6)).
% 113.61/110.29 cnf('1.2.1.2.2',plain,[-(in(8 ^ [11 ^ [], 10 ^ []], 11 ^ [])), -(disjoint(10 ^ [], 11 ^ []))],extension(18,bind([[_22525, _22612], [10 ^ [], 11 ^ []]]))).
% 113.61/110.29 cnf('1.2.1.2.2.1',plain,[disjoint(10 ^ [], 11 ^ []), -(13 ^ [])],extension(1)).
% 113.61/110.29 cnf('1.2.1.2.2.1.1',plain,[13 ^ []],reduction('1')).
% 113.61/110.29 %-----------------------------------------------------
% 113.71/110.30
% 113.71/110.30 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------