TSTP Solution File: SEU059+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU059+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 11:59:59 EDT 2022
% Result : Theorem 3.18s 3.48s
% Output : Proof 3.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU059+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n022.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 : Sat Jun 18 22:42:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.18/3.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.18/3.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.18/3.49
% 3.18/3.49 %-----------------------------------------------------
% 3.18/3.49 fof(t138_funct_1, conjecture, ! [_76769, _76772, _76775] : (relation(_76775) & function(_76775) => relation_inverse_image(_76775, set_difference(_76769, _76772)) = set_difference(relation_inverse_image(_76775, _76769), relation_inverse_image(_76775, _76772))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t138_funct_1)).
% 3.18/3.49 fof(d13_funct_1, axiom, ! [_77113] : (relation(_77113) & function(_77113) => ! [_77135, _77138] : (_77138 = relation_inverse_image(_77113, _77135) <=> ! [_77159] : (in(_77159, _77138) <=> in(_77159, relation_dom(_77113)) & in(apply(_77113, _77159), _77135)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d13_funct_1)).
% 3.18/3.49 fof(d4_xboole_0, axiom, ! [_77481, _77484, _77487] : (_77487 = set_difference(_77481, _77484) <=> ! [_77508] : (in(_77508, _77487) <=> in(_77508, _77481) & ~ in(_77508, _77484))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 3.18/3.49
% 3.18/3.49 cnf(1, plain, [-(relation(17 ^ []))], clausify(t138_funct_1)).
% 3.18/3.49 cnf(2, plain, [-(function(17 ^ []))], clausify(t138_funct_1)).
% 3.18/3.49 cnf(3, plain, [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))], clausify(t138_funct_1)).
% 3.18/3.49 cnf(4, plain, [_20497 = _20546, -(relation_dom(_20497) = relation_dom(_20546))], theory(equality)).
% 3.18/3.49 cnf(5, plain, [-(relation_inverse_image(_20826, _20959) = relation_inverse_image(_20893, _21024)), _20826 = _20893, _20959 = _21024], theory(equality)).
% 3.18/3.49 cnf(6, plain, [-(set_difference(_21440, _21573) = set_difference(_21507, _21638)), _21440 = _21507, _21573 = _21638], theory(equality)).
% 3.18/3.49 cnf(7, plain, [-(_15009 = _15009)], theory(equality)).
% 3.18/3.49 cnf(8, plain, [-(in(_17266, _17397)), in(_17199, _17332), _17199 = _17266, _17332 = _17397], theory(equality)).
% 3.18/3.49 cnf(9, plain, [function(_23352), relation(_23352), _23602 = relation_inverse_image(_23352, _23528), in(_23771, _23602), -(in(_23771, relation_dom(_23352)))], clausify(d13_funct_1)).
% 3.18/3.49 cnf(10, plain, [function(_23352), relation(_23352), _23602 = relation_inverse_image(_23352, _23528), in(_23771, _23602), -(in(apply(_23352, _23771), _23528))], clausify(d13_funct_1)).
% 3.18/3.49 cnf(11, plain, [function(_23352), relation(_23352), _23602 = relation_inverse_image(_23352, _23528), -(in(_23771, _23602)), in(_23771, relation_dom(_23352)), in(apply(_23352, _23771), _23528)], clausify(d13_funct_1)).
% 3.18/3.49 cnf(12, plain, [_24369 = set_difference(_24226, _24298), in(_24535, _24369), -(in(_24535, _24226))], clausify(d4_xboole_0)).
% 3.18/3.49 cnf(13, plain, [_24369 = set_difference(_24226, _24298), in(_24535, _24369), in(_24535, _24298)], clausify(d4_xboole_0)).
% 3.18/3.49 cnf(14, plain, [_24369 = set_difference(_24226, _24298), -(in(_24535, _24369)), in(_24535, _24226), -(in(_24535, _24298))], clausify(d4_xboole_0)).
% 3.18/3.49 cnf(15, plain, [-(_24369 = set_difference(_24226, _24298)), -(in(2 ^ [_24369, _24298, _24226], _24369)), -(in(2 ^ [_24369, _24298, _24226], _24226))], clausify(d4_xboole_0)).
% 3.18/3.49 cnf(16, plain, [-(_24369 = set_difference(_24226, _24298)), -(in(2 ^ [_24369, _24298, _24226], _24369)), in(2 ^ [_24369, _24298, _24226], _24298)], clausify(d4_xboole_0)).
% 3.18/3.49 cnf(17, plain, [-(_24369 = set_difference(_24226, _24298)), in(2 ^ [_24369, _24298, _24226], _24369), in(2 ^ [_24369, _24298, _24226], _24226), -(in(2 ^ [_24369, _24298, _24226], _24298))], clausify(d4_xboole_0)).
% 3.18/3.49
% 3.18/3.49 cnf('1',plain,[relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))],start(3)).
% 3.18/3.49 cnf('1.1',plain,[-(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ [])), -(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 16 ^ [])))],extension(17,bind([[_24369, _24226, _24298], [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ [])]]))).
% 3.18/3.49 cnf('1.1.1',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))), function(17 ^ []), relation(17 ^ []), relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ [])), in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), set_difference(15 ^ [], 16 ^ []))],extension(11,bind([[_23602, _23352, _23771, _23528], [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), 17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], set_difference(15 ^ [], 16 ^ [])]]))).
% 3.18/3.49 cnf('1.1.1.1',plain,[-(function(17 ^ []))],extension(2)).
% 3.18/3.49 cnf('1.1.1.2',plain,[-(relation(17 ^ []))],extension(1)).
% 3.18/3.49 cnf('1.1.1.3',plain,[-(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))), 17 ^ [] = 17 ^ [], set_difference(15 ^ [], 16 ^ []) = set_difference(15 ^ [], 16 ^ [])],extension(5,bind([[_20826, _20893, _20959, _21024], [17 ^ [], 17 ^ [], set_difference(15 ^ [], 16 ^ []), set_difference(15 ^ [], 16 ^ [])]]))).
% 3.18/3.49 cnf('1.1.1.3.1',plain,[-(17 ^ [] = 17 ^ [])],extension(7,bind([[_15009], [17 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.3.2',plain,[-(set_difference(15 ^ [], 16 ^ []) = set_difference(15 ^ [], 16 ^ [])), 15 ^ [] = 15 ^ [], 16 ^ [] = 16 ^ []],extension(6,bind([[_21440, _21507, _21573, _21638], [15 ^ [], 15 ^ [], 16 ^ [], 16 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.3.2.1',plain,[-(15 ^ [] = 15 ^ [])],extension(7,bind([[_15009], [15 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.3.2.2',plain,[-(16 ^ [] = 16 ^ [])],extension(7,bind([[_15009], [16 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.4',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ []))), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ [])), 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])] = 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ []) = relation_dom(17 ^ [])],extension(8,bind([[_17199, _17266, _17332, _17397], [2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ []), relation_dom(17 ^ [])]]))).
% 3.18/3.49 cnf('1.1.1.4.1',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ []))), function(17 ^ []), relation(17 ^ []), relation_inverse_image(17 ^ [], 15 ^ []) = relation_inverse_image(17 ^ [], 15 ^ []), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ []))],extension(9,bind([[_23352, _23528, _23771, _23602], [17 ^ [], 15 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ [])]]))).
% 3.18/3.49 cnf('1.1.1.4.1.1',plain,[-(function(17 ^ []))],extension(2)).
% 3.18/3.49 cnf('1.1.1.4.1.2',plain,[-(relation(17 ^ []))],extension(1)).
% 3.18/3.49 cnf('1.1.1.4.1.3',plain,[-(relation_inverse_image(17 ^ [], 15 ^ []) = relation_inverse_image(17 ^ [], 15 ^ []))],extension(7,bind([[_15009], [relation_inverse_image(17 ^ [], 15 ^ [])]]))).
% 3.18/3.49 cnf('1.1.1.4.1.4',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ []))), -(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))), -(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))))],extension(15,bind([[_24298, _24226, _24369], [relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))]]))).
% 3.18/3.49 cnf('1.1.1.4.1.4.1',plain,[relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))],extension(3)).
% 3.18/3.49 cnf('1.1.1.4.1.4.2',plain,[in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))],reduction('1.1')).
% 3.18/3.49 cnf('1.1.1.4.2',plain,[-(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])] = 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])])],extension(7,bind([[_15009], [2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]]]))).
% 3.18/3.49 cnf('1.1.1.4.3',plain,[-(relation_dom(17 ^ []) = relation_dom(17 ^ [])), 17 ^ [] = 17 ^ []],extension(4,bind([[_20497, _20546], [17 ^ [], 17 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.4.3.1',plain,[-(17 ^ [] = 17 ^ [])],extension(7,bind([[_15009], [17 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.5',plain,[-(in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), set_difference(15 ^ [], 16 ^ []))), set_difference(15 ^ [], 16 ^ []) = set_difference(15 ^ [], 16 ^ []), in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), 15 ^ []), -(in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), 16 ^ []))],extension(14,bind([[_24369, _24226, _24535, _24298], [set_difference(15 ^ [], 16 ^ []), 15 ^ [], apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), 16 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.5.1',plain,[-(set_difference(15 ^ [], 16 ^ []) = set_difference(15 ^ [], 16 ^ [])), 15 ^ [] = 15 ^ [], 16 ^ [] = 16 ^ []],extension(6,bind([[_21440, _21507, _21573, _21638], [15 ^ [], 15 ^ [], 16 ^ [], 16 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.5.1.1',plain,[-(15 ^ [] = 15 ^ [])],extension(7,bind([[_15009], [15 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.5.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(7,bind([[_15009], [16 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.5.2',plain,[-(in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), 15 ^ [])), function(17 ^ []), relation(17 ^ []), relation_inverse_image(17 ^ [], 15 ^ []) = relation_inverse_image(17 ^ [], 15 ^ []), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ []))],extension(10,bind([[_23352, _23528, _23771, _23602], [17 ^ [], 15 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ [])]]))).
% 3.18/3.49 cnf('1.1.1.5.2.1',plain,[-(function(17 ^ []))],extension(2)).
% 3.18/3.49 cnf('1.1.1.5.2.2',plain,[-(relation(17 ^ []))],extension(1)).
% 3.18/3.49 cnf('1.1.1.5.2.3',plain,[-(relation_inverse_image(17 ^ [], 15 ^ []) = relation_inverse_image(17 ^ [], 15 ^ []))],extension(7,bind([[_15009], [relation_inverse_image(17 ^ [], 15 ^ [])]]))).
% 3.18/3.49 cnf('1.1.1.5.2.4',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ []))), -(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))), -(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))))],extension(15,bind([[_24298, _24226, _24369], [relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))]]))).
% 3.18/3.49 cnf('1.1.1.5.2.4.1',plain,[relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))],extension(3)).
% 3.18/3.49 cnf('1.1.1.5.2.4.2',plain,[in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))],reduction('1.1')).
% 3.18/3.49 cnf('1.1.1.5.3',plain,[in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), 16 ^ []), function(17 ^ []), relation(17 ^ []), relation_inverse_image(17 ^ [], 16 ^ []) = relation_inverse_image(17 ^ [], 16 ^ []), -(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 16 ^ []))), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ []))],extension(11,bind([[_23528, _23602, _23771, _23352], [16 ^ [], relation_inverse_image(17 ^ [], 16 ^ []), 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], 17 ^ []]]))).
% 3.18/3.49 cnf('1.1.1.5.3.1',plain,[-(function(17 ^ []))],extension(2)).
% 3.18/3.49 cnf('1.1.1.5.3.2',plain,[-(relation(17 ^ []))],extension(1)).
% 3.18/3.49 cnf('1.1.1.5.3.3',plain,[-(relation_inverse_image(17 ^ [], 16 ^ []) = relation_inverse_image(17 ^ [], 16 ^ []))],extension(7,bind([[_15009], [relation_inverse_image(17 ^ [], 16 ^ [])]]))).
% 3.18/3.49 cnf('1.1.1.5.3.4',plain,[in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 16 ^ [])), -(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))), -(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))))],extension(16,bind([[_24298, _24226, _24369], [relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))]]))).
% 3.18/3.49 cnf('1.1.1.5.3.4.1',plain,[relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))],extension(3)).
% 3.18/3.49 cnf('1.1.1.5.3.4.2',plain,[in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))],reduction('1.1')).
% 3.18/3.49 cnf('1.1.1.5.3.5',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ [])))],lemmata('1.1.1')).
% 3.18/3.49 cnf('1.1.2',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ []))), function(17 ^ []), relation(17 ^ []), relation_inverse_image(17 ^ [], 15 ^ []) = relation_inverse_image(17 ^ [], 15 ^ []), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ [])), in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), 15 ^ [])],extension(11,bind([[_23602, _23352, _23771, _23528], [relation_inverse_image(17 ^ [], 15 ^ []), 17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], 15 ^ []]]))).
% 3.18/3.49 cnf('1.1.2.1',plain,[-(function(17 ^ []))],extension(2)).
% 3.18/3.49 cnf('1.1.2.2',plain,[-(relation(17 ^ []))],extension(1)).
% 3.18/3.49 cnf('1.1.2.3',plain,[-(relation_inverse_image(17 ^ [], 15 ^ []) = relation_inverse_image(17 ^ [], 15 ^ [])), 17 ^ [] = 17 ^ [], 15 ^ [] = 15 ^ []],extension(5,bind([[_20826, _20893, _20959, _21024], [17 ^ [], 17 ^ [], 15 ^ [], 15 ^ []]]))).
% 3.18/3.49 cnf('1.1.2.3.1',plain,[-(17 ^ [] = 17 ^ [])],extension(7,bind([[_15009], [17 ^ []]]))).
% 3.18/3.49 cnf('1.1.2.3.2',plain,[-(15 ^ [] = 15 ^ [])],extension(7,bind([[_15009], [15 ^ []]]))).
% 3.18/3.49 cnf('1.1.2.4',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ []))), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ [])), 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])] = 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ []) = relation_dom(17 ^ [])],extension(8,bind([[_17199, _17266, _17332, _17397], [2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ []), relation_dom(17 ^ [])]]))).
% 3.18/3.49 cnf('1.1.2.4.1',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_dom(17 ^ []))), function(17 ^ []), relation(17 ^ []), relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))],extension(9,bind([[_23352, _23528, _23771, _23602], [17 ^ [], set_difference(15 ^ [], 16 ^ []), 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))]]))).
% 3.18/3.49 cnf('1.1.2.4.1.1',plain,[-(function(17 ^ []))],extension(2)).
% 3.18/3.49 cnf('1.1.2.4.1.2',plain,[-(relation(17 ^ []))],extension(1)).
% 3.18/3.49 cnf('1.1.2.4.1.3',plain,[-(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))],extension(7,bind([[_15009], [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))]]))).
% 3.18/3.49 cnf('1.1.2.4.1.4',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))), -(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))), -(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ [])))],extension(15,bind([[_24369, _24298, _24226], [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]]))).
% 3.18/3.49 cnf('1.1.2.4.1.4.1',plain,[relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))],extension(3)).
% 3.18/3.49 cnf('1.1.2.4.1.4.2',plain,[in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ []))],reduction('1.1')).
% 3.18/3.49 cnf('1.1.2.4.2',plain,[-(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])] = 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])])],extension(7,bind([[_15009], [2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]]]))).
% 3.18/3.49 cnf('1.1.2.4.3',plain,[-(relation_dom(17 ^ []) = relation_dom(17 ^ [])), 17 ^ [] = 17 ^ []],extension(4,bind([[_20497, _20546], [17 ^ [], 17 ^ []]]))).
% 3.18/3.49 cnf('1.1.2.4.3.1',plain,[-(17 ^ [] = 17 ^ [])],extension(7,bind([[_15009], [17 ^ []]]))).
% 3.18/3.49 cnf('1.1.2.5',plain,[-(in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), 15 ^ [])), set_difference(15 ^ [], 16 ^ []) = set_difference(15 ^ [], 16 ^ []), in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), set_difference(15 ^ [], 16 ^ []))],extension(12,bind([[_24226, _24298, _24535, _24369], [15 ^ [], 16 ^ [], apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), set_difference(15 ^ [], 16 ^ [])]]))).
% 3.18/3.49 cnf('1.1.2.5.1',plain,[-(set_difference(15 ^ [], 16 ^ []) = set_difference(15 ^ [], 16 ^ [])), 15 ^ [] = 15 ^ [], 16 ^ [] = 16 ^ []],extension(6,bind([[_21440, _21507, _21573, _21638], [15 ^ [], 15 ^ [], 16 ^ [], 16 ^ []]]))).
% 3.18/3.49 cnf('1.1.2.5.1.1',plain,[-(15 ^ [] = 15 ^ [])],extension(7,bind([[_15009], [15 ^ []]]))).
% 3.18/3.49 cnf('1.1.2.5.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(7,bind([[_15009], [16 ^ []]]))).
% 3.18/3.49 cnf('1.1.2.5.2',plain,[-(in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), set_difference(15 ^ [], 16 ^ []))), function(17 ^ []), relation(17 ^ []), relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))],extension(10,bind([[_23352, _23528, _23771, _23602], [17 ^ [], set_difference(15 ^ [], 16 ^ []), 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))]]))).
% 3.18/3.49 cnf('1.1.2.5.2.1',plain,[-(function(17 ^ []))],extension(2)).
% 3.18/3.49 cnf('1.1.2.5.2.2',plain,[-(relation(17 ^ []))],extension(1)).
% 3.18/3.49 cnf('1.1.2.5.2.3',plain,[-(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))],extension(7,bind([[_15009], [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))]]))).
% 3.18/3.49 cnf('1.1.2.5.2.4',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))), -(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))), -(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ [])))],extension(15,bind([[_24369, _24298, _24226], [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]]))).
% 3.18/3.49 cnf('1.1.2.5.2.4.1',plain,[relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))],extension(3)).
% 3.18/3.49 cnf('1.1.2.5.2.4.2',plain,[in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 15 ^ []))],reduction('1.1')).
% 3.18/3.49 cnf('1.1.3',plain,[in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 16 ^ [])), function(17 ^ []), relation(17 ^ []), relation_inverse_image(17 ^ [], 16 ^ []) = relation_inverse_image(17 ^ [], 16 ^ []), -(in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), 16 ^ []))],extension(10,bind([[_23602, _23352, _23771, _23528], [relation_inverse_image(17 ^ [], 16 ^ []), 17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], 16 ^ []]]))).
% 3.18/3.49 cnf('1.1.3.1',plain,[-(function(17 ^ []))],extension(2)).
% 3.18/3.49 cnf('1.1.3.2',plain,[-(relation(17 ^ []))],extension(1)).
% 3.18/3.49 cnf('1.1.3.3',plain,[-(relation_inverse_image(17 ^ [], 16 ^ []) = relation_inverse_image(17 ^ [], 16 ^ [])), 17 ^ [] = 17 ^ [], 16 ^ [] = 16 ^ []],extension(5,bind([[_20826, _20893, _20959, _21024], [17 ^ [], 17 ^ [], 16 ^ [], 16 ^ []]]))).
% 3.18/3.49 cnf('1.1.3.3.1',plain,[-(17 ^ [] = 17 ^ [])],extension(7,bind([[_15009], [17 ^ []]]))).
% 3.18/3.49 cnf('1.1.3.3.2',plain,[-(16 ^ [] = 16 ^ [])],extension(7,bind([[_15009], [16 ^ []]]))).
% 3.18/3.49 cnf('1.1.3.4',plain,[in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), 16 ^ []), set_difference(15 ^ [], 16 ^ []) = set_difference(15 ^ [], 16 ^ []), in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), set_difference(15 ^ [], 16 ^ []))],extension(13,bind([[_24226, _24298, _24535, _24369], [15 ^ [], 16 ^ [], apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), set_difference(15 ^ [], 16 ^ [])]]))).
% 3.18/3.49 cnf('1.1.3.4.1',plain,[-(set_difference(15 ^ [], 16 ^ []) = set_difference(15 ^ [], 16 ^ [])), 15 ^ [] = 15 ^ [], 16 ^ [] = 16 ^ []],extension(6,bind([[_21440, _21507, _21573, _21638], [15 ^ [], 15 ^ [], 16 ^ [], 16 ^ []]]))).
% 3.18/3.49 cnf('1.1.3.4.1.1',plain,[-(15 ^ [] = 15 ^ [])],extension(7,bind([[_15009], [15 ^ []]]))).
% 3.18/3.49 cnf('1.1.3.4.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(7,bind([[_15009], [16 ^ []]]))).
% 3.18/3.49 cnf('1.1.3.4.2',plain,[-(in(apply(17 ^ [], 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])]), set_difference(15 ^ [], 16 ^ []))), function(17 ^ []), relation(17 ^ []), relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))],extension(10,bind([[_23352, _23528, _23771, _23602], [17 ^ [], set_difference(15 ^ [], 16 ^ []), 2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))]]))).
% 3.18/3.49 cnf('1.1.3.4.2.1',plain,[-(function(17 ^ []))],extension(2)).
% 3.18/3.49 cnf('1.1.3.4.2.2',plain,[-(relation(17 ^ []))],extension(1)).
% 3.18/3.49 cnf('1.1.3.4.2.3',plain,[-(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))],extension(7,bind([[_15009], [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ []))]]))).
% 3.18/3.49 cnf('1.1.3.4.2.4',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])))), -(relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))), in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 16 ^ []))],extension(16,bind([[_24369, _24226, _24298], [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ [])]]))).
% 3.18/3.49 cnf('1.1.3.4.2.4.1',plain,[relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(relation_inverse_image(17 ^ [], 15 ^ []), relation_inverse_image(17 ^ [], 16 ^ []))],extension(3)).
% 3.18/3.49 cnf('1.1.3.4.2.4.2',plain,[-(in(2 ^ [relation_inverse_image(17 ^ [], set_difference(15 ^ [], 16 ^ [])), relation_inverse_image(17 ^ [], 16 ^ []), relation_inverse_image(17 ^ [], 15 ^ [])], relation_inverse_image(17 ^ [], 16 ^ [])))],reduction('1.1')).
% 3.18/3.49 %-----------------------------------------------------
% 3.18/3.50
% 3.18/3.50 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------