TSTP Solution File: SEU181+1 by leanCoP---2.2
View Problem
- Process Solution
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% File : leanCoP---2.2
% Problem : SEU181+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 12:00:47 EDT 2022
% Result : Theorem 0.74s 1.40s
% Output : Proof 0.74s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU181+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n029.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 : Sat Jun 18 19:39:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/1.41
% 0.74/1.41 %-----------------------------------------------------
% 0.74/1.41 fof(t37_relat_1, conjecture, ! [_60753] : (relation(_60753) => relation_rng(_60753) = relation_dom(relation_inverse(_60753)) & relation_dom(_60753) = relation_rng(relation_inverse(_60753))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t37_relat_1)).
% 0.74/1.41 fof(d4_relat_1, axiom, ! [_61044] : (relation(_61044) => ! [_61059] : (_61059 = relation_dom(_61044) <=> ! [_61077] : (in(_61077, _61059) <=> ? [_61095] : in(ordered_pair(_61077, _61095), _61044)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_relat_1)).
% 0.74/1.41 fof(d5_relat_1, axiom, ! [_61375] : (relation(_61375) => ! [_61390] : (_61390 = relation_rng(_61375) <=> ! [_61408] : (in(_61408, _61390) <=> ? [_61426] : in(ordered_pair(_61426, _61408), _61375)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_relat_1)).
% 0.74/1.41 fof(d7_relat_1, axiom, ! [_61707] : (relation(_61707) => ! [_61722] : (relation(_61722) => (_61722 = relation_inverse(_61707) <=> ! [_61747, _61750] : (in(ordered_pair(_61747, _61750), _61722) <=> in(ordered_pair(_61750, _61747), _61707))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d7_relat_1)).
% 0.74/1.41 fof(dt_k4_relat_1, axiom, ! [_62023] : (relation(_62023) => relation(relation_inverse(_62023))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k4_relat_1)).
% 0.74/1.41 fof(involutiveness_k4_relat_1, axiom, ! [_62159] : (relation(_62159) => relation_inverse(relation_inverse(_62159)) = _62159), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', involutiveness_k4_relat_1)).
% 0.74/1.41
% 0.74/1.41 cnf(1, plain, [-(relation(16 ^ []))], clausify(t37_relat_1)).
% 0.74/1.41 cnf(2, plain, [relation_rng(16 ^ []) = relation_dom(relation_inverse(16 ^ [])), relation_dom(16 ^ []) = relation_rng(relation_inverse(16 ^ []))], clausify(t37_relat_1)).
% 0.74/1.41 cnf(3, plain, [_18510 = _18559, -(relation_dom(_18510) = relation_dom(_18559))], theory(equality)).
% 0.74/1.41 cnf(4, plain, [_18839 = _18888, -(relation_inverse(_18839) = relation_inverse(_18888))], theory(equality)).
% 0.74/1.41 cnf(5, plain, [_19168 = _19217, -(relation_rng(_19168) = relation_rng(_19217))], theory(equality)).
% 0.74/1.41 cnf(6, plain, [-(_14054 = _14054)], theory(equality)).
% 0.74/1.41 cnf(7, plain, [_14207 = _14252, -(_14252 = _14207)], theory(equality)).
% 0.74/1.41 cnf(8, plain, [relation(_22063), _22172 = relation_dom(_22063), in(_22312, _22172), -(in(ordered_pair(_22312, 2 ^ [_22312, _22172, _22063]), _22063))], clausify(d4_relat_1)).
% 0.74/1.41 cnf(9, plain, [relation(_22063), _22172 = relation_dom(_22063), -(in(_22312, _22172)), in(ordered_pair(_22312, _22428), _22063)], clausify(d4_relat_1)).
% 0.74/1.41 cnf(10, plain, [relation(_22063), -(_22172 = relation_dom(_22063)), in(3 ^ [_22172, _22063], _22172), in(ordered_pair(3 ^ [_22172, _22063], _34266), _22063)], clausify(d4_relat_1)).
% 0.74/1.41 cnf(11, plain, [relation(_22063), -(_22172 = relation_dom(_22063)), -(in(3 ^ [_22172, _22063], _22172)), -(in(ordered_pair(3 ^ [_22172, _22063], 4 ^ [_22172, _22063]), _22063))], clausify(d4_relat_1)).
% 0.74/1.41 cnf(12, plain, [relation(_22720), _22829 = relation_rng(_22720), in(_22969, _22829), -(in(ordered_pair(5 ^ [_22969, _22829, _22720], _22969), _22720))], clausify(d5_relat_1)).
% 0.74/1.41 cnf(13, plain, [relation(_22720), _22829 = relation_rng(_22720), -(in(_22969, _22829)), in(ordered_pair(_23085, _22969), _22720)], clausify(d5_relat_1)).
% 0.74/1.41 cnf(14, plain, [relation(_22720), -(_22829 = relation_rng(_22720)), in(6 ^ [_22829, _22720], _22829), in(ordered_pair(_34552, 6 ^ [_22829, _22720]), _22720)], clausify(d5_relat_1)).
% 0.74/1.41 cnf(15, plain, [relation(_22720), -(_22829 = relation_rng(_22720)), -(in(6 ^ [_22829, _22720], _22829)), -(in(ordered_pair(7 ^ [_22829, _22720], 6 ^ [_22829, _22720]), _22720))], clausify(d5_relat_1)).
% 0.74/1.41 cnf(16, plain, [relation(_23750), relation(_23867), _23867 = relation_inverse(_23750), in(ordered_pair(_24053, _24112), _23867), -(in(ordered_pair(_24112, _24053), _23750))], clausify(d7_relat_1)).
% 0.74/1.41 cnf(17, plain, [relation(_25322), -(relation(relation_inverse(_25322)))], clausify(dt_k4_relat_1)).
% 0.74/1.41 cnf(18, plain, [relation(_27057), -(relation_inverse(relation_inverse(_27057)) = _27057)], clausify(involutiveness_k4_relat_1)).
% 0.74/1.41
% 0.74/1.41 cnf('1',plain,[relation_rng(16 ^ []) = relation_dom(relation_inverse(16 ^ [])), relation_dom(16 ^ []) = relation_rng(relation_inverse(16 ^ []))],start(2)).
% 0.74/1.41 cnf('1.1',plain,[-(relation_rng(16 ^ []) = relation_dom(relation_inverse(16 ^ []))), relation(relation_inverse(16 ^ [])), in(3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ [])), in(ordered_pair(3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], 5 ^ [3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ []), 16 ^ []]), relation_inverse(16 ^ []))],extension(10,bind([[_22172, _34266, _22063], [relation_rng(16 ^ []), 5 ^ [3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ []), 16 ^ []], relation_inverse(16 ^ [])]]))).
% 0.74/1.41 cnf('1.1.1',plain,[-(relation(relation_inverse(16 ^ []))), relation(16 ^ [])],extension(17,bind([[_25322], [16 ^ []]]))).
% 0.74/1.41 cnf('1.1.1.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.1.2',plain,[-(in(3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ []))), relation(relation_inverse(16 ^ [])), -(relation_rng(16 ^ []) = relation_dom(relation_inverse(16 ^ []))), -(in(ordered_pair(3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], 4 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])]), relation_inverse(16 ^ [])))],extension(11,bind([[_22172, _22063], [relation_rng(16 ^ []), relation_inverse(16 ^ [])]]))).
% 0.74/1.41 cnf('1.1.2.1',plain,[-(relation(relation_inverse(16 ^ [])))],lemmata('1.1')).
% 0.74/1.41 cnf('1.1.2.2',plain,[relation_rng(16 ^ []) = relation_dom(relation_inverse(16 ^ []))],reduction('1')).
% 0.74/1.41 cnf('1.1.2.3',plain,[in(ordered_pair(3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], 4 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])]), relation_inverse(16 ^ [])), relation(16 ^ []), relation(relation_inverse(16 ^ [])), relation_inverse(16 ^ []) = relation_inverse(16 ^ []), -(in(ordered_pair(4 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], 3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])]), 16 ^ []))],extension(16,bind([[_23867, _24112, _24053, _23750], [relation_inverse(16 ^ []), 4 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], 3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], 16 ^ []]]))).
% 0.74/1.41 cnf('1.1.2.3.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.1.2.3.2',plain,[-(relation(relation_inverse(16 ^ [])))],lemmata('1.1.2')).
% 0.74/1.41 cnf('1.1.2.3.3',plain,[-(relation_inverse(16 ^ []) = relation_inverse(16 ^ [])), 16 ^ [] = 16 ^ []],extension(4,bind([[_18839, _18888], [16 ^ [], 16 ^ []]]))).
% 0.74/1.41 cnf('1.1.2.3.3.1',plain,[-(16 ^ [] = 16 ^ [])],extension(6,bind([[_14054], [16 ^ []]]))).
% 0.74/1.41 cnf('1.1.2.3.4',plain,[in(ordered_pair(4 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], 3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])]), 16 ^ []), relation(16 ^ []), relation_rng(16 ^ []) = relation_rng(16 ^ []), -(in(3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ [])))],extension(13,bind([[_23085, _22720, _22969, _22829], [4 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], 16 ^ [], 3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ [])]]))).
% 0.74/1.41 cnf('1.1.2.3.4.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.1.2.3.4.2',plain,[-(relation_rng(16 ^ []) = relation_rng(16 ^ []))],extension(6,bind([[_14054], [relation_rng(16 ^ [])]]))).
% 0.74/1.41 cnf('1.1.2.3.4.3',plain,[in(3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ []))],reduction('1.1')).
% 0.74/1.41 cnf('1.1.3',plain,[-(in(ordered_pair(3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], 5 ^ [3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ []), 16 ^ []]), relation_inverse(16 ^ []))), relation(relation_inverse(16 ^ [])), relation(16 ^ []), 16 ^ [] = relation_inverse(relation_inverse(16 ^ [])), in(ordered_pair(5 ^ [3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ []), 16 ^ []], 3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])]), 16 ^ [])],extension(16,bind([[_23750, _24053, _24112, _23867], [relation_inverse(16 ^ []), 5 ^ [3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ []), 16 ^ []], 3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], 16 ^ []]]))).
% 0.74/1.41 cnf('1.1.3.1',plain,[-(relation(relation_inverse(16 ^ [])))],lemmata('1.1')).
% 0.74/1.41 cnf('1.1.3.2',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.1.3.3',plain,[-(16 ^ [] = relation_inverse(relation_inverse(16 ^ []))), relation_inverse(relation_inverse(16 ^ [])) = 16 ^ []],extension(7,bind([[_14207, _14252], [relation_inverse(relation_inverse(16 ^ [])), 16 ^ []]]))).
% 0.74/1.41 cnf('1.1.3.3.1',plain,[-(relation_inverse(relation_inverse(16 ^ [])) = 16 ^ []), relation(16 ^ [])],extension(18,bind([[_27057], [16 ^ []]]))).
% 0.74/1.41 cnf('1.1.3.3.1.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.1.3.4',plain,[-(in(ordered_pair(5 ^ [3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ []), 16 ^ []], 3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])]), 16 ^ [])), relation(16 ^ []), relation_rng(16 ^ []) = relation_rng(16 ^ []), in(3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ []))],extension(12,bind([[_22720, _22969, _22829], [16 ^ [], 3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ [])]]))).
% 0.74/1.41 cnf('1.1.3.4.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.1.3.4.2',plain,[-(relation_rng(16 ^ []) = relation_rng(16 ^ [])), 16 ^ [] = 16 ^ []],extension(5,bind([[_19168, _19217], [16 ^ [], 16 ^ []]]))).
% 0.74/1.41 cnf('1.1.3.4.2.1',plain,[-(16 ^ [] = 16 ^ [])],extension(6,bind([[_14054], [16 ^ []]]))).
% 0.74/1.41 cnf('1.1.3.4.3',plain,[-(in(3 ^ [relation_rng(16 ^ []), relation_inverse(16 ^ [])], relation_rng(16 ^ [])))],lemmata('1.1')).
% 0.74/1.41 cnf('1.2',plain,[-(relation_dom(16 ^ []) = relation_rng(relation_inverse(16 ^ []))), relation(relation_inverse(16 ^ [])), in(6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ [])), in(ordered_pair(2 ^ [6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ []), 16 ^ []], 6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])]), relation_inverse(16 ^ []))],extension(14,bind([[_34552, _22829, _22720], [2 ^ [6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ []), 16 ^ []], relation_dom(16 ^ []), relation_inverse(16 ^ [])]]))).
% 0.74/1.41 cnf('1.2.1',plain,[-(relation(relation_inverse(16 ^ []))), relation(16 ^ [])],extension(17,bind([[_25322], [16 ^ []]]))).
% 0.74/1.41 cnf('1.2.1.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.2.2',plain,[-(in(6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ []))), relation(relation_inverse(16 ^ [])), -(relation_dom(16 ^ []) = relation_rng(relation_inverse(16 ^ []))), -(in(ordered_pair(7 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], 6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])]), relation_inverse(16 ^ [])))],extension(15,bind([[_22829, _22720], [relation_dom(16 ^ []), relation_inverse(16 ^ [])]]))).
% 0.74/1.41 cnf('1.2.2.1',plain,[-(relation(relation_inverse(16 ^ [])))],lemmata('1.2')).
% 0.74/1.41 cnf('1.2.2.2',plain,[relation_dom(16 ^ []) = relation_rng(relation_inverse(16 ^ []))],reduction('1')).
% 0.74/1.41 cnf('1.2.2.3',plain,[in(ordered_pair(7 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], 6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])]), relation_inverse(16 ^ [])), relation(16 ^ []), relation(relation_inverse(16 ^ [])), relation_inverse(16 ^ []) = relation_inverse(16 ^ []), -(in(ordered_pair(6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], 7 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])]), 16 ^ []))],extension(16,bind([[_23867, _24112, _24053, _23750], [relation_inverse(16 ^ []), 6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], 7 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], 16 ^ []]]))).
% 0.74/1.41 cnf('1.2.2.3.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.2.2.3.2',plain,[-(relation(relation_inverse(16 ^ [])))],lemmata('1.2.2')).
% 0.74/1.41 cnf('1.2.2.3.3',plain,[-(relation_inverse(16 ^ []) = relation_inverse(16 ^ [])), 16 ^ [] = 16 ^ []],extension(4,bind([[_18839, _18888], [16 ^ [], 16 ^ []]]))).
% 0.74/1.41 cnf('1.2.2.3.3.1',plain,[-(16 ^ [] = 16 ^ [])],extension(6,bind([[_14054], [16 ^ []]]))).
% 0.74/1.41 cnf('1.2.2.3.4',plain,[in(ordered_pair(6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], 7 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])]), 16 ^ []), relation(16 ^ []), relation_dom(16 ^ []) = relation_dom(16 ^ []), -(in(6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ [])))],extension(9,bind([[_22428, _22063, _22312, _22172], [7 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], 16 ^ [], 6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ [])]]))).
% 0.74/1.41 cnf('1.2.2.3.4.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.2.2.3.4.2',plain,[-(relation_dom(16 ^ []) = relation_dom(16 ^ []))],extension(6,bind([[_14054], [relation_dom(16 ^ [])]]))).
% 0.74/1.41 cnf('1.2.2.3.4.3',plain,[in(6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ []))],reduction('1.2')).
% 0.74/1.41 cnf('1.2.3',plain,[-(in(ordered_pair(2 ^ [6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ []), 16 ^ []], 6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])]), relation_inverse(16 ^ []))), relation(relation_inverse(16 ^ [])), relation(16 ^ []), 16 ^ [] = relation_inverse(relation_inverse(16 ^ [])), in(ordered_pair(6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], 2 ^ [6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ []), 16 ^ []]), 16 ^ [])],extension(16,bind([[_23750, _24053, _24112, _23867], [relation_inverse(16 ^ []), 6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], 2 ^ [6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ []), 16 ^ []], 16 ^ []]]))).
% 0.74/1.41 cnf('1.2.3.1',plain,[-(relation(relation_inverse(16 ^ [])))],lemmata('1.2')).
% 0.74/1.41 cnf('1.2.3.2',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.2.3.3',plain,[-(16 ^ [] = relation_inverse(relation_inverse(16 ^ []))), relation_inverse(relation_inverse(16 ^ [])) = 16 ^ []],extension(7,bind([[_14207, _14252], [relation_inverse(relation_inverse(16 ^ [])), 16 ^ []]]))).
% 0.74/1.41 cnf('1.2.3.3.1',plain,[-(relation_inverse(relation_inverse(16 ^ [])) = 16 ^ []), relation(16 ^ [])],extension(18,bind([[_27057], [16 ^ []]]))).
% 0.74/1.41 cnf('1.2.3.3.1.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.2.3.4',plain,[-(in(ordered_pair(6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], 2 ^ [6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ []), 16 ^ []]), 16 ^ [])), relation(16 ^ []), relation_dom(16 ^ []) = relation_dom(16 ^ []), in(6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ []))],extension(8,bind([[_22063, _22312, _22172], [16 ^ [], 6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ [])]]))).
% 0.74/1.41 cnf('1.2.3.4.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.74/1.41 cnf('1.2.3.4.2',plain,[-(relation_dom(16 ^ []) = relation_dom(16 ^ [])), 16 ^ [] = 16 ^ []],extension(3,bind([[_18510, _18559], [16 ^ [], 16 ^ []]]))).
% 0.74/1.41 cnf('1.2.3.4.2.1',plain,[-(16 ^ [] = 16 ^ [])],extension(6,bind([[_14054], [16 ^ []]]))).
% 0.74/1.41 cnf('1.2.3.4.3',plain,[-(in(6 ^ [relation_dom(16 ^ []), relation_inverse(16 ^ [])], relation_dom(16 ^ [])))],lemmata('1.2')).
% 0.74/1.41 %-----------------------------------------------------
% 0.74/1.42
% 0.74/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------