TSTP Solution File: SEU240+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU240+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 12:01:21 EDT 2022
% Result : Theorem 96.99s 94.59s
% Output : Proof 97.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU240+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 06:37:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 96.99/94.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 96.99/94.60 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 96.99/94.60
% 96.99/94.60 %-----------------------------------------------------
% 96.99/94.60 fof(l2_wellord1, conjecture, ! [_439273] : (relation(_439273) => (transitive(_439273) <=> ! [_439295, _439298, _439301] : (in(ordered_pair(_439295, _439298), _439273) & in(ordered_pair(_439298, _439301), _439273) => in(ordered_pair(_439295, _439301), _439273)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l2_wellord1)).
% 96.99/94.60 fof(d16_relat_2, axiom, ! [_439737] : (relation(_439737) => (transitive(_439737) <=> is_transitive_in(_439737, relation_field(_439737)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d16_relat_2)).
% 96.99/94.60 fof(d8_relat_2, axiom, ! [_440048] : (relation(_440048) => ! [_440063] : (is_transitive_in(_440048, _440063) <=> ! [_440081, _440084, _440087] : (in(_440081, _440063) & in(_440084, _440063) & in(_440087, _440063) & in(ordered_pair(_440081, _440084), _440048) & in(ordered_pair(_440084, _440087), _440048) => in(ordered_pair(_440081, _440087), _440048)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_relat_2)).
% 96.99/94.60 fof(t30_relat_1, lemma, ! [_440730, _440733, _440736] : (relation(_440736) => in(ordered_pair(_440730, _440733), _440736) => in(_440730, relation_field(_440736)) & in(_440733, relation_field(_440736))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t30_relat_1)).
% 96.99/94.60
% 96.99/94.60 cnf(1, plain, [-(relation(105 ^ []))], clausify(l2_wellord1)).
% 96.99/94.60 cnf(2, plain, [transitive(105 ^ []), -(in(ordered_pair(106 ^ [], 107 ^ []), 105 ^ []))], clausify(l2_wellord1)).
% 96.99/94.60 cnf(3, plain, [transitive(105 ^ []), -(in(ordered_pair(107 ^ [], 108 ^ []), 105 ^ []))], clausify(l2_wellord1)).
% 96.99/94.60 cnf(4, plain, [transitive(105 ^ []), in(ordered_pair(106 ^ [], 108 ^ []), 105 ^ [])], clausify(l2_wellord1)).
% 96.99/94.60 cnf(5, plain, [-(transitive(105 ^ [])), -(in(ordered_pair(_344153, _344163), 105 ^ [])), in(ordered_pair(_344153, _344158), 105 ^ []), in(ordered_pair(_344158, _344163), 105 ^ [])], clausify(l2_wellord1)).
% 96.99/94.60 cnf(6, plain, [relation(_184818), transitive(_184818), -(is_transitive_in(_184818, relation_field(_184818)))], clausify(d16_relat_2)).
% 96.99/94.60 cnf(7, plain, [relation(_184818), -(transitive(_184818)), is_transitive_in(_184818, relation_field(_184818))], clausify(d16_relat_2)).
% 96.99/94.60 cnf(8, plain, [relation(_206312), -(is_transitive_in(_206312, _206454)), -(in(ordered_pair(65 ^ [_206454, _206312], 66 ^ [_206454, _206312]), _206312))], clausify(d8_relat_2)).
% 96.99/94.60 cnf(9, plain, [relation(_206312), -(is_transitive_in(_206312, _206454)), -(in(ordered_pair(66 ^ [_206454, _206312], 67 ^ [_206454, _206312]), _206312))], clausify(d8_relat_2)).
% 96.99/94.60 cnf(10, plain, [relation(_206312), -(is_transitive_in(_206312, _206454)), in(ordered_pair(65 ^ [_206454, _206312], 67 ^ [_206454, _206312]), _206312)], clausify(d8_relat_2)).
% 96.99/94.60 cnf(11, plain, [relation(_206312), is_transitive_in(_206312, _206454), -(in(ordered_pair(_206611, _206792), _206312)), in(_206611, _206454), in(_206702, _206454), in(_206792, _206454), in(ordered_pair(_206611, _206702), _206312), in(ordered_pair(_206702, _206792), _206312)], clausify(d8_relat_2)).
% 96.99/94.60 cnf(12, plain, [relation(_264130), in(ordered_pair(_263995, _264063), _264130), -(in(_263995, relation_field(_264130)))], clausify(t30_relat_1)).
% 96.99/94.60 cnf(13, plain, [relation(_264130), in(ordered_pair(_263995, _264063), _264130), -(in(_264063, relation_field(_264130)))], clausify(t30_relat_1)).
% 96.99/94.60
% 96.99/94.60 cnf('1',plain,[transitive(105 ^ []), in(ordered_pair(106 ^ [], 108 ^ []), 105 ^ [])],start(4)).
% 96.99/94.60 cnf('1.1',plain,[-(transitive(105 ^ [])), relation(105 ^ []), is_transitive_in(105 ^ [], relation_field(105 ^ []))],extension(7,bind([[_184818], [105 ^ []]]))).
% 96.99/94.60 cnf('1.1.1',plain,[-(relation(105 ^ []))],extension(1)).
% 96.99/94.60 cnf('1.1.2',plain,[-(is_transitive_in(105 ^ [], relation_field(105 ^ []))), relation(105 ^ []), -(in(ordered_pair(65 ^ [relation_field(105 ^ []), 105 ^ []], 66 ^ [relation_field(105 ^ []), 105 ^ []]), 105 ^ []))],extension(8,bind([[_206454, _206312], [relation_field(105 ^ []), 105 ^ []]]))).
% 96.99/94.60 cnf('1.1.2.1',plain,[-(relation(105 ^ []))],extension(1)).
% 96.99/94.60 cnf('1.1.2.2',plain,[in(ordered_pair(65 ^ [relation_field(105 ^ []), 105 ^ []], 66 ^ [relation_field(105 ^ []), 105 ^ []]), 105 ^ []), -(transitive(105 ^ [])), -(in(ordered_pair(65 ^ [relation_field(105 ^ []), 105 ^ []], 67 ^ [relation_field(105 ^ []), 105 ^ []]), 105 ^ [])), in(ordered_pair(66 ^ [relation_field(105 ^ []), 105 ^ []], 67 ^ [relation_field(105 ^ []), 105 ^ []]), 105 ^ [])],extension(5,bind([[_344153, _344158, _344163], [65 ^ [relation_field(105 ^ []), 105 ^ []], 66 ^ [relation_field(105 ^ []), 105 ^ []], 67 ^ [relation_field(105 ^ []), 105 ^ []]]]))).
% 96.99/94.60 cnf('1.1.2.2.1',plain,[transitive(105 ^ [])],reduction('1')).
% 96.99/94.60 cnf('1.1.2.2.2',plain,[in(ordered_pair(65 ^ [relation_field(105 ^ []), 105 ^ []], 67 ^ [relation_field(105 ^ []), 105 ^ []]), 105 ^ []), relation(105 ^ []), -(is_transitive_in(105 ^ [], relation_field(105 ^ [])))],extension(10,bind([[_206312, _206454], [105 ^ [], relation_field(105 ^ [])]]))).
% 96.99/94.60 cnf('1.1.2.2.2.1',plain,[-(relation(105 ^ []))],extension(1)).
% 96.99/94.60 cnf('1.1.2.2.2.2',plain,[is_transitive_in(105 ^ [], relation_field(105 ^ []))],reduction('1.1')).
% 96.99/94.60 cnf('1.1.2.2.3',plain,[-(in(ordered_pair(66 ^ [relation_field(105 ^ []), 105 ^ []], 67 ^ [relation_field(105 ^ []), 105 ^ []]), 105 ^ [])), relation(105 ^ []), -(is_transitive_in(105 ^ [], relation_field(105 ^ [])))],extension(9,bind([[_206312, _206454], [105 ^ [], relation_field(105 ^ [])]]))).
% 96.99/94.60 cnf('1.1.2.2.3.1',plain,[-(relation(105 ^ []))],extension(1)).
% 96.99/94.60 cnf('1.1.2.2.3.2',plain,[is_transitive_in(105 ^ [], relation_field(105 ^ []))],reduction('1.1')).
% 96.99/94.60 cnf('1.2',plain,[-(in(ordered_pair(106 ^ [], 108 ^ []), 105 ^ [])), -(transitive(105 ^ [])), in(ordered_pair(106 ^ [], 107 ^ []), 105 ^ []), in(ordered_pair(107 ^ [], 108 ^ []), 105 ^ [])],extension(5,bind([[_344153, _344158, _344163], [106 ^ [], 107 ^ [], 108 ^ []]]))).
% 96.99/94.60 cnf('1.2.1',plain,[transitive(105 ^ []), -(in(ordered_pair(106 ^ [], 107 ^ []), 105 ^ []))],extension(2)).
% 96.99/94.60 cnf('1.2.1.1',plain,[in(ordered_pair(106 ^ [], 107 ^ []), 105 ^ []), relation(105 ^ []), is_transitive_in(105 ^ [], relation_field(105 ^ [])), -(in(ordered_pair(106 ^ [], 108 ^ []), 105 ^ [])), in(106 ^ [], relation_field(105 ^ [])), in(107 ^ [], relation_field(105 ^ [])), in(108 ^ [], relation_field(105 ^ [])), in(ordered_pair(107 ^ [], 108 ^ []), 105 ^ [])],extension(11,bind([[_206611, _206454, _206702, _206792, _206312], [106 ^ [], relation_field(105 ^ []), 107 ^ [], 108 ^ [], 105 ^ []]]))).
% 96.99/94.60 cnf('1.2.1.1.1',plain,[-(relation(105 ^ []))],extension(1)).
% 96.99/94.60 cnf('1.2.1.1.2',plain,[-(is_transitive_in(105 ^ [], relation_field(105 ^ []))), relation(105 ^ []), transitive(105 ^ [])],extension(6,bind([[_184818], [105 ^ []]]))).
% 96.99/94.60 cnf('1.2.1.1.2.1',plain,[-(relation(105 ^ []))],extension(1)).
% 96.99/94.60 cnf('1.2.1.1.2.2',plain,[-(transitive(105 ^ []))],lemmata('1')).
% 96.99/94.60 cnf('1.2.1.1.3',plain,[in(ordered_pair(106 ^ [], 108 ^ []), 105 ^ [])],reduction('1')).
% 96.99/94.60 cnf('1.2.1.1.4',plain,[-(in(106 ^ [], relation_field(105 ^ []))), relation(105 ^ []), in(ordered_pair(106 ^ [], 107 ^ []), 105 ^ [])],extension(12,bind([[_263995, _264063, _264130], [106 ^ [], 107 ^ [], 105 ^ []]]))).
% 96.99/94.60 cnf('1.2.1.1.4.1',plain,[-(relation(105 ^ []))],extension(1)).
% 96.99/94.60 cnf('1.2.1.1.4.2',plain,[-(in(ordered_pair(106 ^ [], 107 ^ []), 105 ^ []))],reduction('1.2.1')).
% 96.99/94.60 cnf('1.2.1.1.5',plain,[-(in(107 ^ [], relation_field(105 ^ []))), relation(105 ^ []), in(ordered_pair(107 ^ [], 108 ^ []), 105 ^ [])],extension(12,bind([[_263995, _264063, _264130], [107 ^ [], 108 ^ [], 105 ^ []]]))).
% 96.99/94.60 cnf('1.2.1.1.5.1',plain,[-(relation(105 ^ []))],extension(1)).
% 96.99/94.60 cnf('1.2.1.1.5.2',plain,[-(in(ordered_pair(107 ^ [], 108 ^ []), 105 ^ [])), transitive(105 ^ [])],extension(3)).
% 96.99/94.60 cnf('1.2.1.1.5.2.1',plain,[-(transitive(105 ^ []))],lemmata('1')).
% 96.99/94.60 cnf('1.2.1.1.6',plain,[-(in(108 ^ [], relation_field(105 ^ []))), relation(105 ^ []), in(ordered_pair(107 ^ [], 108 ^ []), 105 ^ [])],extension(13,bind([[_263995, _264063, _264130], [107 ^ [], 108 ^ [], 105 ^ []]]))).
% 96.99/94.60 cnf('1.2.1.1.6.1',plain,[-(relation(105 ^ []))],extension(1)).
% 96.99/94.60 cnf('1.2.1.1.6.2',plain,[-(in(ordered_pair(107 ^ [], 108 ^ []), 105 ^ [])), transitive(105 ^ [])],extension(3)).
% 96.99/94.60 cnf('1.2.1.1.6.2.1',plain,[-(transitive(105 ^ []))],lemmata('1')).
% 96.99/94.60 cnf('1.2.1.1.7',plain,[-(in(ordered_pair(107 ^ [], 108 ^ []), 105 ^ [])), transitive(105 ^ [])],extension(3)).
% 96.99/94.60 cnf('1.2.1.1.7.1',plain,[-(transitive(105 ^ []))],lemmata('1')).
% 96.99/94.60 cnf('1.2.2',plain,[-(in(ordered_pair(106 ^ [], 107 ^ []), 105 ^ [])), transitive(105 ^ [])],extension(2)).
% 96.99/94.60 cnf('1.2.2.1',plain,[-(transitive(105 ^ []))],lemmata('1')).
% 96.99/94.60 cnf('1.2.3',plain,[-(in(ordered_pair(107 ^ [], 108 ^ []), 105 ^ [])), transitive(105 ^ [])],extension(3)).
% 96.99/94.60 cnf('1.2.3.1',plain,[-(transitive(105 ^ []))],lemmata('1')).
% 96.99/94.60 %-----------------------------------------------------
% 97.09/94.61
% 97.09/94.61 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------