TSTP Solution File: SEU203+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU203+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 12:00:58 EDT 2022
% Result : Theorem 102.57s 99.79s
% Output : Proof 102.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU203+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 21:54:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 102.57/99.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 102.57/99.80 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 102.57/99.80
% 102.57/99.80 %-----------------------------------------------------
% 102.57/99.80 fof(t143_relat_1, conjecture, ! [_279088, _279091, _279094] : (relation(_279094) => (in(_279088, relation_image(_279094, _279091)) <=> ? [_279126] : (in(_279126, relation_dom(_279094)) & in(ordered_pair(_279126, _279088), _279094) & in(_279126, _279091)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t143_relat_1)).
% 102.57/99.80 fof(d13_relat_1, axiom, ! [_279511] : (relation(_279511) => ! [_279526, _279529] : (_279529 = relation_image(_279511, _279526) <=> ! [_279550] : (in(_279550, _279529) <=> ? [_279568] : (in(ordered_pair(_279568, _279550), _279511) & in(_279568, _279526))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d13_relat_1)).
% 102.57/99.80 fof(t20_relat_1, lemma, ! [_280084, _280087, _280090] : (relation(_280090) => in(ordered_pair(_280084, _280087), _280090) => in(_280084, relation_dom(_280090)) & in(_280087, relation_rng(_280090))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t20_relat_1)).
% 102.57/99.80
% 102.57/99.80 cnf(1, plain, [-(relation(67 ^ []))], clausify(t143_relat_1)).
% 102.57/99.80 cnf(2, plain, [-(in(65 ^ [], relation_image(67 ^ [], 66 ^ []))), -(in(68 ^ [], relation_dom(67 ^ [])))], clausify(t143_relat_1)).
% 102.57/99.80 cnf(3, plain, [-(in(65 ^ [], relation_image(67 ^ [], 66 ^ []))), -(in(ordered_pair(68 ^ [], 65 ^ []), 67 ^ []))], clausify(t143_relat_1)).
% 102.57/99.80 cnf(4, plain, [-(in(65 ^ [], relation_image(67 ^ [], 66 ^ []))), -(in(68 ^ [], 66 ^ []))], clausify(t143_relat_1)).
% 102.57/99.80 cnf(5, plain, [in(65 ^ [], relation_image(67 ^ [], 66 ^ [])), in(_219091, relation_dom(67 ^ [])), in(ordered_pair(_219091, 65 ^ []), 67 ^ []), in(_219091, 66 ^ [])], clausify(t143_relat_1)).
% 102.57/99.80 cnf(6, plain, [-(_89972 = _89972)], theory(equality)).
% 102.57/99.80 cnf(7, plain, [relation(_113803), _114001 = relation_image(_113803, _113924), in(_114173, _114001), -(in(ordered_pair(7 ^ [_114173, _114001, _113924, _113803], _114173), _113803))], clausify(d13_relat_1)).
% 102.57/99.80 cnf(8, plain, [relation(_113803), _114001 = relation_image(_113803, _113924), in(_114173, _114001), -(in(7 ^ [_114173, _114001, _113924, _113803], _113924))], clausify(d13_relat_1)).
% 102.57/99.80 cnf(9, plain, [relation(_113803), _114001 = relation_image(_113803, _113924), -(in(_114173, _114001)), in(ordered_pair(_114299, _114173), _113803), in(_114299, _113924)], clausify(d13_relat_1)).
% 102.57/99.80 cnf(10, plain, [relation(_161717), in(ordered_pair(_161582, _161650), _161717), -(in(_161582, relation_dom(_161717)))], clausify(t20_relat_1)).
% 102.57/99.80
% 102.57/99.80 cnf('1',plain,[in(65 ^ [], relation_image(67 ^ [], 66 ^ [])), in(68 ^ [], relation_dom(67 ^ [])), in(ordered_pair(68 ^ [], 65 ^ []), 67 ^ []), in(68 ^ [], 66 ^ [])],start(5,bind([[_219091], [68 ^ []]]))).
% 102.57/99.80 cnf('1.1',plain,[-(in(65 ^ [], relation_image(67 ^ [], 66 ^ []))), -(in(ordered_pair(68 ^ [], 65 ^ []), 67 ^ []))],extension(3)).
% 102.57/99.80 cnf('1.1.1',plain,[in(ordered_pair(68 ^ [], 65 ^ []), 67 ^ []), relation(67 ^ []), relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []), -(in(65 ^ [], relation_image(67 ^ [], 66 ^ []))), in(68 ^ [], 66 ^ [])],extension(9,bind([[_113803, _114173, _114001, _114299, _113924], [67 ^ [], 65 ^ [], relation_image(67 ^ [], 66 ^ []), 68 ^ [], 66 ^ []]]))).
% 102.57/99.80 cnf('1.1.1.1',plain,[-(relation(67 ^ []))],extension(1)).
% 102.57/99.80 cnf('1.1.1.2',plain,[-(relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []))],extension(6,bind([[_89972], [relation_image(67 ^ [], 66 ^ [])]]))).
% 102.57/99.80 cnf('1.1.1.3',plain,[in(65 ^ [], relation_image(67 ^ [], 66 ^ []))],reduction('1')).
% 102.57/99.80 cnf('1.1.1.4',plain,[-(in(68 ^ [], 66 ^ [])), -(in(65 ^ [], relation_image(67 ^ [], 66 ^ [])))],extension(4)).
% 102.57/99.80 cnf('1.1.1.4.1',plain,[in(65 ^ [], relation_image(67 ^ [], 66 ^ []))],lemmata('1.1.1')).
% 102.57/99.80 cnf('1.2',plain,[-(in(68 ^ [], relation_dom(67 ^ []))), -(in(65 ^ [], relation_image(67 ^ [], 66 ^ [])))],extension(2)).
% 102.57/99.80 cnf('1.2.1',plain,[in(65 ^ [], relation_image(67 ^ [], 66 ^ [])), relation(67 ^ []), relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []), -(in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ []))],extension(7,bind([[_114001, _113924, _114173, _113803], [relation_image(67 ^ [], 66 ^ []), 66 ^ [], 65 ^ [], 67 ^ []]]))).
% 102.57/99.80 cnf('1.2.1.1',plain,[-(relation(67 ^ []))],extension(1)).
% 102.57/99.80 cnf('1.2.1.2',plain,[-(relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []))],extension(6,bind([[_89972], [relation_image(67 ^ [], 66 ^ [])]]))).
% 102.57/99.80 cnf('1.2.1.3',plain,[in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ []), in(65 ^ [], relation_image(67 ^ [], 66 ^ [])), in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], relation_dom(67 ^ [])), in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 66 ^ [])],extension(5,bind([[_219091], [7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []]]]))).
% 102.57/99.80 cnf('1.2.1.3.1',plain,[-(in(65 ^ [], relation_image(67 ^ [], 66 ^ [])))],lemmata('1')).
% 102.57/99.80 cnf('1.2.1.3.2',plain,[-(in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], relation_dom(67 ^ []))), relation(67 ^ []), in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ [])],extension(10,bind([[_161582, _161650, _161717], [7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ [], 67 ^ []]]))).
% 102.57/99.80 cnf('1.2.1.3.2.1',plain,[-(relation(67 ^ []))],extension(1)).
% 102.57/99.80 cnf('1.2.1.3.2.2',plain,[-(in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ []))],reduction('1.2.1')).
% 102.57/99.80 cnf('1.2.1.3.3',plain,[-(in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 66 ^ [])), relation(67 ^ []), relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []), in(65 ^ [], relation_image(67 ^ [], 66 ^ []))],extension(8,bind([[_113803, _113924, _114173, _114001], [67 ^ [], 66 ^ [], 65 ^ [], relation_image(67 ^ [], 66 ^ [])]]))).
% 102.57/99.80 cnf('1.2.1.3.3.1',plain,[-(relation(67 ^ []))],extension(1)).
% 102.57/99.80 cnf('1.2.1.3.3.2',plain,[-(relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []))],extension(6,bind([[_89972], [relation_image(67 ^ [], 66 ^ [])]]))).
% 102.57/99.80 cnf('1.2.1.3.3.3',plain,[-(in(65 ^ [], relation_image(67 ^ [], 66 ^ [])))],lemmata('1.2.1.3')).
% 102.57/99.80 cnf('1.3',plain,[-(in(ordered_pair(68 ^ [], 65 ^ []), 67 ^ [])), -(in(65 ^ [], relation_image(67 ^ [], 66 ^ [])))],extension(3)).
% 102.57/99.80 cnf('1.3.1',plain,[in(65 ^ [], relation_image(67 ^ [], 66 ^ [])), relation(67 ^ []), relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []), -(in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ []))],extension(7,bind([[_114001, _113924, _114173, _113803], [relation_image(67 ^ [], 66 ^ []), 66 ^ [], 65 ^ [], 67 ^ []]]))).
% 102.57/99.80 cnf('1.3.1.1',plain,[-(relation(67 ^ []))],extension(1)).
% 102.57/99.80 cnf('1.3.1.2',plain,[-(relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []))],extension(6,bind([[_89972], [relation_image(67 ^ [], 66 ^ [])]]))).
% 102.57/99.80 cnf('1.3.1.3',plain,[in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ []), in(65 ^ [], relation_image(67 ^ [], 66 ^ [])), in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], relation_dom(67 ^ [])), in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 66 ^ [])],extension(5,bind([[_219091], [7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []]]]))).
% 102.57/99.80 cnf('1.3.1.3.1',plain,[-(in(65 ^ [], relation_image(67 ^ [], 66 ^ [])))],lemmata('1')).
% 102.57/99.80 cnf('1.3.1.3.2',plain,[-(in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], relation_dom(67 ^ []))), relation(67 ^ []), in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ [])],extension(10,bind([[_161582, _161650, _161717], [7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ [], 67 ^ []]]))).
% 102.57/99.80 cnf('1.3.1.3.2.1',plain,[-(relation(67 ^ []))],extension(1)).
% 102.57/99.80 cnf('1.3.1.3.2.2',plain,[-(in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ []))],reduction('1.3.1')).
% 102.57/99.80 cnf('1.3.1.3.3',plain,[-(in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 66 ^ [])), relation(67 ^ []), relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []), in(65 ^ [], relation_image(67 ^ [], 66 ^ []))],extension(8,bind([[_113803, _113924, _114173, _114001], [67 ^ [], 66 ^ [], 65 ^ [], relation_image(67 ^ [], 66 ^ [])]]))).
% 102.57/99.80 cnf('1.3.1.3.3.1',plain,[-(relation(67 ^ []))],extension(1)).
% 102.57/99.80 cnf('1.3.1.3.3.2',plain,[-(relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []))],extension(6,bind([[_89972], [relation_image(67 ^ [], 66 ^ [])]]))).
% 102.57/99.80 cnf('1.3.1.3.3.3',plain,[-(in(65 ^ [], relation_image(67 ^ [], 66 ^ [])))],lemmata('1.3.1.3')).
% 102.57/99.80 cnf('1.4',plain,[-(in(68 ^ [], 66 ^ [])), -(in(65 ^ [], relation_image(67 ^ [], 66 ^ [])))],extension(4)).
% 102.57/99.80 cnf('1.4.1',plain,[in(65 ^ [], relation_image(67 ^ [], 66 ^ [])), relation(67 ^ []), relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []), -(in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ []))],extension(7,bind([[_114001, _113924, _114173, _113803], [relation_image(67 ^ [], 66 ^ []), 66 ^ [], 65 ^ [], 67 ^ []]]))).
% 102.57/99.80 cnf('1.4.1.1',plain,[-(relation(67 ^ []))],extension(1)).
% 102.57/99.80 cnf('1.4.1.2',plain,[-(relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []))],extension(6,bind([[_89972], [relation_image(67 ^ [], 66 ^ [])]]))).
% 102.57/99.80 cnf('1.4.1.3',plain,[in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ []), in(65 ^ [], relation_image(67 ^ [], 66 ^ [])), in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], relation_dom(67 ^ [])), in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 66 ^ [])],extension(5,bind([[_219091], [7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []]]]))).
% 102.57/99.80 cnf('1.4.1.3.1',plain,[-(in(65 ^ [], relation_image(67 ^ [], 66 ^ [])))],lemmata('1')).
% 102.57/99.80 cnf('1.4.1.3.2',plain,[-(in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], relation_dom(67 ^ []))), relation(67 ^ []), in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ [])],extension(10,bind([[_161582, _161650, _161717], [7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ [], 67 ^ []]]))).
% 102.57/99.80 cnf('1.4.1.3.2.1',plain,[-(relation(67 ^ []))],extension(1)).
% 102.57/99.80 cnf('1.4.1.3.2.2',plain,[-(in(ordered_pair(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 65 ^ []), 67 ^ []))],reduction('1.4.1')).
% 102.57/99.80 cnf('1.4.1.3.3',plain,[-(in(7 ^ [65 ^ [], relation_image(67 ^ [], 66 ^ []), 66 ^ [], 67 ^ []], 66 ^ [])), relation(67 ^ []), relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []), in(65 ^ [], relation_image(67 ^ [], 66 ^ []))],extension(8,bind([[_113803, _113924, _114173, _114001], [67 ^ [], 66 ^ [], 65 ^ [], relation_image(67 ^ [], 66 ^ [])]]))).
% 102.57/99.80 cnf('1.4.1.3.3.1',plain,[-(relation(67 ^ []))],extension(1)).
% 102.57/99.80 cnf('1.4.1.3.3.2',plain,[-(relation_image(67 ^ [], 66 ^ []) = relation_image(67 ^ [], 66 ^ []))],extension(6,bind([[_89972], [relation_image(67 ^ [], 66 ^ [])]]))).
% 102.57/99.80 cnf('1.4.1.3.3.3',plain,[-(in(65 ^ [], relation_image(67 ^ [], 66 ^ [])))],lemmata('1.4.1.3')).
% 102.57/99.80 %-----------------------------------------------------
% 102.57/99.81
% 102.57/99.81 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------