TSTP Solution File: SET597+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET597+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 02:54:32 EDT 2022
% Result : Theorem 0.40s 1.45s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET597+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 15:05:33 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.40/1.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.45 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/1.46
% 0.49/1.46 %-----------------------------------------------------
% 0.49/1.46 fof(prove_th56, conjecture, ! [_37597, _37600, _37603] : (_37597 = union(_37600, _37603) <=> subset(_37600, _37597) & subset(_37603, _37597) & ! [_37644] : (subset(_37600, _37644) & subset(_37603, _37644) => subset(_37597, _37644))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th56)).
% 0.49/1.46 fof(subset_of_union, axiom, ! [_38068, _38071] : subset(_38068, union(_38068, _38071)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_of_union)).
% 0.49/1.46 fof(union_subset, axiom, ! [_38202, _38205, _38208] : (subset(_38202, _38205) & subset(_38208, _38205) => subset(union(_38202, _38208), _38205)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_subset)).
% 0.49/1.46 fof(union_defn, axiom, ! [_38403, _38406, _38409] : (member(_38409, union(_38403, _38406)) <=> member(_38409, _38403) | member(_38409, _38406)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 0.49/1.46 fof(subset_defn, axiom, ! [_38617, _38620] : (subset(_38617, _38620) <=> ! [_38638] : (member(_38638, _38617) => member(_38638, _38620))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.49/1.46 fof(equal_defn, axiom, ! [_38836, _38839] : (_38836 = _38839 <=> subset(_38836, _38839) & subset(_38839, _38836)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_defn)).
% 0.49/1.46 fof(commutativity_of_union, axiom, ! [_39006, _39009] : union(_39006, _39009) = union(_39009, _39006), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_of_union)).
% 0.49/1.46
% 0.49/1.46 cnf(1, plain, [-(9 ^ []), -(subset(3 ^ [], _15119)), subset(4 ^ [], _15119), subset(5 ^ [], _15119)], clausify(prove_th56)).
% 0.49/1.46 cnf(2, plain, [-(9 ^ []), -(subset(5 ^ [], 3 ^ []))], clausify(prove_th56)).
% 0.49/1.46 cnf(3, plain, [-(9 ^ []), -(subset(4 ^ [], 3 ^ []))], clausify(prove_th56)).
% 0.49/1.46 cnf(4, plain, [-(9 ^ []), 3 ^ [] = union(4 ^ [], 5 ^ [])], clausify(prove_th56)).
% 0.49/1.46 cnf(5, plain, [-(7 ^ []), subset(3 ^ [], 6 ^ [])], clausify(prove_th56)).
% 0.49/1.46 cnf(6, plain, [-(7 ^ []), -(subset(5 ^ [], 6 ^ []))], clausify(prove_th56)).
% 0.49/1.46 cnf(7, plain, [-(7 ^ []), -(subset(4 ^ [], 6 ^ []))], clausify(prove_th56)).
% 0.49/1.46 cnf(8, plain, [-(8 ^ []), subset(4 ^ [], 3 ^ []), subset(5 ^ [], 3 ^ []), 7 ^ []], clausify(prove_th56)).
% 0.49/1.46 cnf(9, plain, [-(8 ^ []), -(3 ^ [] = union(4 ^ [], 5 ^ []))], clausify(prove_th56)).
% 0.49/1.46 cnf(10, plain, [8 ^ [], 9 ^ []], clausify(prove_th56)).
% 0.49/1.46 cnf(11, plain, [-(union(_8355, _8488) = union(_8422, _8553)), _8355 = _8422, _8488 = _8553], theory(equality)).
% 0.49/1.46 cnf(12, plain, [-(_6189 = _6189)], theory(equality)).
% 0.49/1.46 cnf(13, plain, [_6342 = _6387, -(_6387 = _6342)], theory(equality)).
% 0.49/1.46 cnf(14, plain, [-(member(_7164, _7295)), member(_7097, _7230), _7097 = _7164, _7230 = _7295], theory(equality)).
% 0.49/1.46 cnf(15, plain, [-(subset(_7778, _7909)), subset(_7711, _7844), _7711 = _7778, _7844 = _7909], theory(equality)).
% 0.49/1.46 cnf(16, plain, [-(subset(_9015, union(_9015, _9057)))], clausify(subset_of_union)).
% 0.49/1.46 cnf(17, plain, [-(subset(union(_9282, _9399), _9341)), subset(_9282, _9341), subset(_9399, _9341)], clausify(union_subset)).
% 0.49/1.46 cnf(18, plain, [-(member(_9912, union(_9795, _9854))), member(_9912, _9795)], clausify(union_defn)).
% 0.49/1.46 cnf(19, plain, [-(member(_9912, union(_9795, _9854))), member(_9912, _9854)], clausify(union_defn)).
% 0.49/1.46 cnf(20, plain, [-(subset(_10308, _10364)), -(member(1 ^ [_10364, _10308], _10308))], clausify(subset_defn)).
% 0.49/1.46 cnf(21, plain, [-(subset(_10308, _10364)), member(1 ^ [_10364, _10308], _10364)], clausify(subset_defn)).
% 0.49/1.46 cnf(22, plain, [-(_10769 = _10820), subset(_10769, _10820), subset(_10820, _10769)], clausify(equal_defn)).
% 0.49/1.46 cnf(23, plain, [-(union(_11165, _11210) = union(_11210, _11165))], clausify(commutativity_of_union)).
% 0.49/1.46
% 0.49/1.46 cnf('1',plain,[8 ^ [], 9 ^ []],start(10)).
% 0.49/1.46 cnf('1.1',plain,[-(8 ^ []), subset(4 ^ [], 3 ^ []), subset(5 ^ [], 3 ^ []), 7 ^ []],extension(8)).
% 0.49/1.46 cnf('1.1.1',plain,[-(subset(4 ^ [], 3 ^ [])), -(member(1 ^ [3 ^ [], 4 ^ []], 4 ^ []))],extension(20,bind([[_10364, _10308], [3 ^ [], 4 ^ []]]))).
% 0.49/1.46 cnf('1.1.1.1',plain,[member(1 ^ [3 ^ [], 4 ^ []], 4 ^ []), -(member(1 ^ [3 ^ [], 4 ^ []], union(4 ^ [], 5 ^ [])))],extension(18,bind([[_9912, _9795, _9854], [1 ^ [3 ^ [], 4 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.49/1.46 cnf('1.1.1.1.1',plain,[member(1 ^ [3 ^ [], 4 ^ []], union(4 ^ [], 5 ^ [])), -(member(1 ^ [3 ^ [], 4 ^ []], 3 ^ [])), 1 ^ [3 ^ [], 4 ^ []] = 1 ^ [3 ^ [], 4 ^ []], union(4 ^ [], 5 ^ []) = 3 ^ []],extension(14,bind([[_7097, _7164, _7230, _7295], [1 ^ [3 ^ [], 4 ^ []], 1 ^ [3 ^ [], 4 ^ []], union(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.49/1.46 cnf('1.1.1.1.1.1',plain,[member(1 ^ [3 ^ [], 4 ^ []], 3 ^ []), -(subset(4 ^ [], 3 ^ []))],extension(21,bind([[_10308, _10364], [4 ^ [], 3 ^ []]]))).
% 0.49/1.46 cnf('1.1.1.1.1.1.1',plain,[subset(4 ^ [], 3 ^ [])],reduction('1.1')).
% 0.49/1.46 cnf('1.1.1.1.1.2',plain,[-(1 ^ [3 ^ [], 4 ^ []] = 1 ^ [3 ^ [], 4 ^ []])],extension(12,bind([[_6189], [1 ^ [3 ^ [], 4 ^ []]]]))).
% 0.49/1.46 cnf('1.1.1.1.1.3',plain,[-(union(4 ^ [], 5 ^ []) = 3 ^ []), 3 ^ [] = union(4 ^ [], 5 ^ [])],extension(13,bind([[_6342, _6387], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.1.1.1.1.3.1',plain,[-(3 ^ [] = union(4 ^ [], 5 ^ [])), -(8 ^ [])],extension(9)).
% 0.49/1.46 cnf('1.1.1.1.1.3.1.1',plain,[8 ^ []],reduction('1')).
% 0.49/1.46 cnf('1.1.2',plain,[-(subset(5 ^ [], 3 ^ [])), -(member(1 ^ [3 ^ [], 5 ^ []], 5 ^ []))],extension(20,bind([[_10364, _10308], [3 ^ [], 5 ^ []]]))).
% 0.49/1.46 cnf('1.1.2.1',plain,[member(1 ^ [3 ^ [], 5 ^ []], 5 ^ []), -(member(1 ^ [3 ^ [], 5 ^ []], union(4 ^ [], 5 ^ [])))],extension(19,bind([[_9912, _9795, _9854], [1 ^ [3 ^ [], 5 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.49/1.46 cnf('1.1.2.1.1',plain,[member(1 ^ [3 ^ [], 5 ^ []], union(4 ^ [], 5 ^ [])), -(member(1 ^ [3 ^ [], 5 ^ []], 3 ^ [])), 1 ^ [3 ^ [], 5 ^ []] = 1 ^ [3 ^ [], 5 ^ []], union(4 ^ [], 5 ^ []) = 3 ^ []],extension(14,bind([[_7097, _7164, _7230, _7295], [1 ^ [3 ^ [], 5 ^ []], 1 ^ [3 ^ [], 5 ^ []], union(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.49/1.46 cnf('1.1.2.1.1.1',plain,[member(1 ^ [3 ^ [], 5 ^ []], 3 ^ []), -(subset(5 ^ [], 3 ^ []))],extension(21,bind([[_10308, _10364], [5 ^ [], 3 ^ []]]))).
% 0.49/1.46 cnf('1.1.2.1.1.1.1',plain,[subset(5 ^ [], 3 ^ [])],reduction('1.1')).
% 0.49/1.46 cnf('1.1.2.1.1.2',plain,[-(1 ^ [3 ^ [], 5 ^ []] = 1 ^ [3 ^ [], 5 ^ []])],extension(12,bind([[_6189], [1 ^ [3 ^ [], 5 ^ []]]]))).
% 0.49/1.46 cnf('1.1.2.1.1.3',plain,[-(union(4 ^ [], 5 ^ []) = 3 ^ []), 3 ^ [] = union(4 ^ [], 5 ^ [])],extension(13,bind([[_6342, _6387], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.1.2.1.1.3.1',plain,[-(3 ^ [] = union(4 ^ [], 5 ^ [])), -(8 ^ [])],extension(9)).
% 0.49/1.46 cnf('1.1.2.1.1.3.1.1',plain,[8 ^ []],reduction('1')).
% 0.49/1.46 cnf('1.1.3',plain,[-(7 ^ []), -(subset(5 ^ [], 6 ^ []))],extension(6)).
% 0.49/1.46 cnf('1.1.3.1',plain,[subset(5 ^ [], 6 ^ []), -(subset(union(4 ^ [], 5 ^ []), 6 ^ [])), subset(4 ^ [], 6 ^ [])],extension(17,bind([[_9399, _9282, _9341], [5 ^ [], 4 ^ [], 6 ^ []]]))).
% 0.49/1.46 cnf('1.1.3.1.1',plain,[subset(union(4 ^ [], 5 ^ []), 6 ^ []), -(subset(3 ^ [], 6 ^ [])), union(4 ^ [], 5 ^ []) = 3 ^ [], 6 ^ [] = 6 ^ []],extension(15,bind([[_7711, _7778, _7844, _7909], [union(4 ^ [], 5 ^ []), 3 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.49/1.46 cnf('1.1.3.1.1.1',plain,[subset(3 ^ [], 6 ^ []), -(7 ^ [])],extension(5)).
% 0.49/1.46 cnf('1.1.3.1.1.1.1',plain,[7 ^ []],reduction('1.1')).
% 0.49/1.46 cnf('1.1.3.1.1.2',plain,[-(union(4 ^ [], 5 ^ []) = 3 ^ []), 3 ^ [] = union(4 ^ [], 5 ^ [])],extension(13,bind([[_6342, _6387], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.1.3.1.1.2.1',plain,[-(3 ^ [] = union(4 ^ [], 5 ^ [])), -(8 ^ [])],extension(9)).
% 0.49/1.46 cnf('1.1.3.1.1.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.49/1.46 cnf('1.1.3.1.1.3',plain,[-(6 ^ [] = 6 ^ [])],extension(12,bind([[_6189], [6 ^ []]]))).
% 0.49/1.46 cnf('1.1.3.1.2',plain,[-(subset(4 ^ [], 6 ^ [])), -(7 ^ [])],extension(7)).
% 0.49/1.46 cnf('1.1.3.1.2.1',plain,[7 ^ []],reduction('1.1')).
% 0.49/1.46 cnf('1.2',plain,[-(9 ^ []), -(subset(3 ^ [], union(4 ^ [], 5 ^ []))), subset(4 ^ [], union(4 ^ [], 5 ^ [])), subset(5 ^ [], union(4 ^ [], 5 ^ []))],extension(1,bind([[_15119], [union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.2.1',plain,[subset(3 ^ [], union(4 ^ [], 5 ^ [])), -(subset(union(union(4 ^ [], 5 ^ []), 3 ^ []), union(4 ^ [], 5 ^ []))), subset(union(4 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []))],extension(17,bind([[_9399, _9282, _9341], [3 ^ [], union(4 ^ [], 5 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.2.1.1',plain,[subset(union(union(4 ^ [], 5 ^ []), 3 ^ []), union(4 ^ [], 5 ^ [])), -(subset(union(4 ^ [], 5 ^ []), 3 ^ [])), union(union(4 ^ [], 5 ^ []), 3 ^ []) = union(4 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []) = 3 ^ []],extension(15,bind([[_7711, _7778, _7844, _7909], [union(union(4 ^ [], 5 ^ []), 3 ^ []), union(4 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.49/1.46 cnf('1.2.1.1.1',plain,[subset(union(4 ^ [], 5 ^ []), 3 ^ []), -(subset(3 ^ [], union(4 ^ [], 5 ^ []))), union(4 ^ [], 5 ^ []) = 3 ^ [], 3 ^ [] = union(4 ^ [], 5 ^ [])],extension(15,bind([[_7711, _7778, _7844, _7909], [union(4 ^ [], 5 ^ []), 3 ^ [], 3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.2.1.1.1.1',plain,[subset(3 ^ [], union(4 ^ [], 5 ^ [])), -(3 ^ [] = union(4 ^ [], 5 ^ [])), subset(union(4 ^ [], 5 ^ []), 3 ^ [])],extension(22,bind([[_10820, _10769], [union(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.49/1.46 cnf('1.2.1.1.1.1.1',plain,[3 ^ [] = union(4 ^ [], 5 ^ []), -(9 ^ [])],extension(4)).
% 0.49/1.46 cnf('1.2.1.1.1.1.1.1',plain,[9 ^ []],reduction('1')).
% 0.49/1.46 cnf('1.2.1.1.1.1.2',plain,[-(subset(union(4 ^ [], 5 ^ []), 3 ^ []))],reduction('1.2.1.1')).
% 0.49/1.46 cnf('1.2.1.1.1.2',plain,[-(union(4 ^ [], 5 ^ []) = 3 ^ []), subset(union(4 ^ [], 5 ^ []), 3 ^ []), subset(3 ^ [], union(4 ^ [], 5 ^ []))],extension(22,bind([[_10820, _10769], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.2.1.1.1.2.1',plain,[-(subset(union(4 ^ [], 5 ^ []), 3 ^ []))],reduction('1.2.1.1')).
% 0.49/1.46 cnf('1.2.1.1.1.2.2',plain,[-(subset(3 ^ [], union(4 ^ [], 5 ^ [])))],reduction('1.2')).
% 0.49/1.46 cnf('1.2.1.1.1.3',plain,[-(3 ^ [] = union(4 ^ [], 5 ^ [])), union(4 ^ [], 5 ^ []) = 3 ^ []],extension(13,bind([[_6342, _6387], [union(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.49/1.46 cnf('1.2.1.1.1.3.1',plain,[-(union(4 ^ [], 5 ^ []) = 3 ^ [])],lemmata('1.2.1.1.1')).
% 0.49/1.46 cnf('1.2.1.1.2',plain,[-(union(union(4 ^ [], 5 ^ []), 3 ^ []) = union(4 ^ [], 5 ^ [])), subset(union(union(4 ^ [], 5 ^ []), 3 ^ []), union(4 ^ [], 5 ^ [])), subset(union(4 ^ [], 5 ^ []), union(union(4 ^ [], 5 ^ []), 3 ^ []))],extension(22,bind([[_10820, _10769], [union(4 ^ [], 5 ^ []), union(union(4 ^ [], 5 ^ []), 3 ^ [])]]))).
% 0.49/1.46 cnf('1.2.1.1.2.1',plain,[-(subset(union(union(4 ^ [], 5 ^ []), 3 ^ []), union(4 ^ [], 5 ^ [])))],reduction('1.2.1')).
% 0.49/1.46 cnf('1.2.1.1.2.2',plain,[-(subset(union(4 ^ [], 5 ^ []), union(union(4 ^ [], 5 ^ []), 3 ^ [])))],extension(16,bind([[_9015, _9057], [union(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.49/1.46 cnf('1.2.1.1.3',plain,[-(union(4 ^ [], 5 ^ []) = 3 ^ []), subset(union(4 ^ [], 5 ^ []), 3 ^ []), subset(3 ^ [], union(4 ^ [], 5 ^ []))],extension(22,bind([[_10820, _10769], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.2.1.1.3.1',plain,[-(subset(union(4 ^ [], 5 ^ []), 3 ^ [])), subset(4 ^ [], 3 ^ []), subset(5 ^ [], 3 ^ [])],extension(17,bind([[_9282, _9399, _9341], [4 ^ [], 5 ^ [], 3 ^ []]]))).
% 0.49/1.46 cnf('1.2.1.1.3.1.1',plain,[-(subset(4 ^ [], 3 ^ [])), -(9 ^ [])],extension(3)).
% 0.49/1.46 cnf('1.2.1.1.3.1.1.1',plain,[9 ^ []],reduction('1')).
% 0.49/1.46 cnf('1.2.1.1.3.1.2',plain,[-(subset(5 ^ [], 3 ^ [])), -(9 ^ [])],extension(2)).
% 0.49/1.46 cnf('1.2.1.1.3.1.2.1',plain,[9 ^ []],reduction('1')).
% 0.49/1.46 cnf('1.2.1.1.3.2',plain,[-(subset(3 ^ [], union(4 ^ [], 5 ^ [])))],reduction('1.2')).
% 0.49/1.46 cnf('1.2.1.2',plain,[-(subset(union(4 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []))), subset(3 ^ [], union(4 ^ [], 5 ^ [])), 3 ^ [] = union(4 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []) = union(4 ^ [], 5 ^ [])],extension(15,bind([[_7711, _7778, _7844, _7909], [3 ^ [], union(4 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.2.1.2.1',plain,[-(subset(3 ^ [], union(4 ^ [], 5 ^ [])))],reduction('1.2')).
% 0.49/1.46 cnf('1.2.1.2.2',plain,[-(3 ^ [] = union(4 ^ [], 5 ^ [])), subset(3 ^ [], union(4 ^ [], 5 ^ [])), subset(union(4 ^ [], 5 ^ []), 3 ^ [])],extension(22,bind([[_10820, _10769], [union(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.49/1.46 cnf('1.2.1.2.2.1',plain,[-(subset(3 ^ [], union(4 ^ [], 5 ^ [])))],lemmata('1.2.1.2')).
% 0.49/1.46 cnf('1.2.1.2.2.2',plain,[-(subset(union(4 ^ [], 5 ^ []), 3 ^ [])), subset(4 ^ [], 3 ^ []), subset(5 ^ [], 3 ^ [])],extension(17,bind([[_9282, _9399, _9341], [4 ^ [], 5 ^ [], 3 ^ []]]))).
% 0.49/1.46 cnf('1.2.1.2.2.2.1',plain,[-(subset(4 ^ [], 3 ^ [])), -(9 ^ [])],extension(3)).
% 0.49/1.46 cnf('1.2.1.2.2.2.1.1',plain,[9 ^ []],reduction('1')).
% 0.49/1.46 cnf('1.2.1.2.2.2.2',plain,[-(subset(5 ^ [], 3 ^ [])), -(9 ^ [])],extension(2)).
% 0.49/1.46 cnf('1.2.1.2.2.2.2.1',plain,[9 ^ []],reduction('1')).
% 0.49/1.46 cnf('1.2.1.2.3',plain,[-(union(4 ^ [], 5 ^ []) = union(4 ^ [], 5 ^ [])), 4 ^ [] = 4 ^ [], 5 ^ [] = 5 ^ []],extension(11,bind([[_8355, _8422, _8488, _8553], [4 ^ [], 4 ^ [], 5 ^ [], 5 ^ []]]))).
% 0.49/1.46 cnf('1.2.1.2.3.1',plain,[-(4 ^ [] = 4 ^ [])],extension(12,bind([[_6189], [4 ^ []]]))).
% 0.49/1.46 cnf('1.2.1.2.3.2',plain,[-(5 ^ [] = 5 ^ [])],extension(12,bind([[_6189], [5 ^ []]]))).
% 0.49/1.46 cnf('1.2.2',plain,[-(subset(4 ^ [], union(4 ^ [], 5 ^ [])))],extension(16,bind([[_9015, _9057], [4 ^ [], 5 ^ []]]))).
% 0.49/1.46 cnf('1.2.3',plain,[-(subset(5 ^ [], union(4 ^ [], 5 ^ []))), -(member(1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []], 5 ^ []))],extension(20,bind([[_10364, _10308], [union(4 ^ [], 5 ^ []), 5 ^ []]]))).
% 0.49/1.46 cnf('1.2.3.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []], 5 ^ []), -(member(1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []], union(5 ^ [], 4 ^ [])))],extension(18,bind([[_9912, _9795, _9854], [1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []], 5 ^ [], 4 ^ []]]))).
% 0.49/1.46 cnf('1.2.3.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []], union(5 ^ [], 4 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []], union(4 ^ [], 5 ^ []))), 1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []] = 1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []], union(5 ^ [], 4 ^ []) = union(4 ^ [], 5 ^ [])],extension(14,bind([[_7097, _7164, _7230, _7295], [1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []], 1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []], union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.2.3.1.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []], union(4 ^ [], 5 ^ [])), -(subset(5 ^ [], union(4 ^ [], 5 ^ [])))],extension(21,bind([[_10308, _10364], [5 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.49/1.46 cnf('1.2.3.1.1.1.1',plain,[subset(5 ^ [], union(4 ^ [], 5 ^ []))],reduction('1.2')).
% 0.49/1.46 cnf('1.2.3.1.1.2',plain,[-(1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []] = 1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []])],extension(12,bind([[_6189], [1 ^ [union(4 ^ [], 5 ^ []), 5 ^ []]]]))).
% 0.49/1.46 cnf('1.2.3.1.1.3',plain,[-(union(5 ^ [], 4 ^ []) = union(4 ^ [], 5 ^ []))],extension(23,bind([[_11210, _11165], [4 ^ [], 5 ^ []]]))).
% 0.49/1.46 %-----------------------------------------------------
% 0.49/1.47
% 0.49/1.47 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------