TSTP Solution File: SEU205+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU205+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 12:00:59 EDT 2022
% Result : Theorem 1.57s 2.48s
% Output : Proof 1.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU205+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jun 19 01:34:33 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.57/2.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/2.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.66/2.50
% 1.66/2.50 %-----------------------------------------------------
% 1.66/2.50 fof(t145_relat_1, conjecture, ! [_55573, _55576] : (relation(_55576) => relation_image(_55576, _55573) = relation_image(_55576, set_intersection2(relation_dom(_55576), _55573))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t145_relat_1)).
% 1.66/2.50 fof(d13_relat_1, axiom, ! [_55828] : (relation(_55828) => ! [_55843, _55846] : (_55846 = relation_image(_55828, _55843) <=> ! [_55867] : (in(_55867, _55846) <=> ? [_55885] : (in(ordered_pair(_55885, _55867), _55828) & in(_55885, _55843))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d13_relat_1)).
% 1.66/2.50 fof(d3_xboole_0, axiom, ! [_56206, _56209, _56212] : (_56212 = set_intersection2(_56206, _56209) <=> ! [_56233] : (in(_56233, _56212) <=> in(_56233, _56206) & in(_56233, _56209))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 1.66/2.50 fof(t143_relat_1, axiom, ! [_56495, _56498, _56501] : (relation(_56501) => (in(_56495, relation_image(_56501, _56498)) <=> ? [_56533] : (in(_56533, relation_dom(_56501)) & in(ordered_pair(_56533, _56495), _56501) & in(_56533, _56498)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t143_relat_1)).
% 1.66/2.50
% 1.66/2.50 cnf(1, plain, [-(relation(13 ^ []))], clausify(t145_relat_1)).
% 1.66/2.50 cnf(2, plain, [relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))], clausify(t145_relat_1)).
% 1.66/2.50 cnf(3, plain, [-(relation_image(_17029, _17162) = relation_image(_17096, _17227)), _17029 = _17096, _17162 = _17227], theory(equality)).
% 1.66/2.50 cnf(4, plain, [-(set_intersection2(_17653, _17786) = set_intersection2(_17720, _17851)), _17653 = _17720, _17786 = _17851], theory(equality)).
% 1.66/2.50 cnf(5, plain, [-(_13212 = _13212)], theory(equality)).
% 1.66/2.50 cnf(6, plain, [relation(_20491), _20689 = relation_image(_20491, _20612), -(in(_20861, _20689)), in(ordered_pair(_20987, _20861), _20491), in(_20987, _20612)], clausify(d13_relat_1)).
% 1.66/2.50 cnf(7, plain, [relation(_20491), -(_20689 = relation_image(_20491, _20612)), -(in(2 ^ [_20689, _20612, _20491], _20689)), -(in(ordered_pair(3 ^ [_20689, _20612, _20491], 2 ^ [_20689, _20612, _20491]), _20491))], clausify(d13_relat_1)).
% 1.66/2.50 cnf(8, plain, [relation(_20491), -(_20689 = relation_image(_20491, _20612)), -(in(2 ^ [_20689, _20612, _20491], _20689)), -(in(3 ^ [_20689, _20612, _20491], _20612))], clausify(d13_relat_1)).
% 1.66/2.50 cnf(9, plain, [relation(_20491), -(_20689 = relation_image(_20491, _20612)), in(2 ^ [_20689, _20612, _20491], _20689), in(ordered_pair(_32201, 2 ^ [_20689, _20612, _20491]), _20491), in(_32201, _20612)], clausify(d13_relat_1)).
% 1.66/2.50 cnf(10, plain, [_21509 = set_intersection2(_21370, _21440), in(_21673, _21509), -(in(_21673, _21440))], clausify(d3_xboole_0)).
% 1.66/2.50 cnf(11, plain, [_21509 = set_intersection2(_21370, _21440), -(in(_21673, _21509)), in(_21673, _21370), in(_21673, _21440)], clausify(d3_xboole_0)).
% 1.66/2.50 cnf(12, plain, [relation(_26896), in(_26737, relation_image(_26896, _26817)), -(in(10 ^ [_26896, _26817, _26737], relation_dom(_26896)))], clausify(t143_relat_1)).
% 1.66/2.50 cnf(13, plain, [relation(_26896), in(_26737, relation_image(_26896, _26817)), -(in(ordered_pair(10 ^ [_26896, _26817, _26737], _26737), _26896))], clausify(t143_relat_1)).
% 1.66/2.50 cnf(14, plain, [relation(_26896), in(_26737, relation_image(_26896, _26817)), -(in(10 ^ [_26896, _26817, _26737], _26817))], clausify(t143_relat_1)).
% 1.66/2.50
% 1.66/2.50 cnf('1',plain,[relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))],start(2)).
% 1.66/2.50 cnf('1.1',plain,[-(relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))), relation(13 ^ []), -(in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ []))), -(in(ordered_pair(3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]), 13 ^ []))],extension(7,bind([[_20689, _20612, _20491], [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]]))).
% 1.66/2.50 cnf('1.1.1',plain,[-(relation(13 ^ []))],extension(1)).
% 1.66/2.50 cnf('1.1.2',plain,[in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ [])), relation(13 ^ []), -(in(10 ^ [13 ^ [], 12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]], relation_dom(13 ^ [])))],extension(12,bind([[_26817, _26737, _26896], [12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 13 ^ []]]))).
% 1.66/2.50 cnf('1.1.2.1',plain,[-(relation(13 ^ []))],extension(1)).
% 1.66/2.50 cnf('1.1.2.2',plain,[in(10 ^ [13 ^ [], 12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]], relation_dom(13 ^ [])), set_intersection2(relation_dom(13 ^ []), 12 ^ []) = set_intersection2(relation_dom(13 ^ []), 12 ^ []), -(in(10 ^ [13 ^ [], 12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]], set_intersection2(relation_dom(13 ^ []), 12 ^ []))), in(10 ^ [13 ^ [], 12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]], 12 ^ [])],extension(11,bind([[_21370, _21509, _21673, _21440], [relation_dom(13 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 10 ^ [13 ^ [], 12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]], 12 ^ []]]))).
% 1.66/2.50 cnf('1.1.2.2.1',plain,[-(set_intersection2(relation_dom(13 ^ []), 12 ^ []) = set_intersection2(relation_dom(13 ^ []), 12 ^ [])), relation_dom(13 ^ []) = relation_dom(13 ^ []), 12 ^ [] = 12 ^ []],extension(4,bind([[_17653, _17720, _17786, _17851], [relation_dom(13 ^ []), relation_dom(13 ^ []), 12 ^ [], 12 ^ []]]))).
% 1.66/2.50 cnf('1.1.2.2.1.1',plain,[-(relation_dom(13 ^ []) = relation_dom(13 ^ []))],extension(5,bind([[_13212], [relation_dom(13 ^ [])]]))).
% 1.66/2.50 cnf('1.1.2.2.1.2',plain,[-(12 ^ [] = 12 ^ [])],extension(5,bind([[_13212], [12 ^ []]]))).
% 1.66/2.50 cnf('1.1.2.2.2',plain,[in(10 ^ [13 ^ [], 12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]], set_intersection2(relation_dom(13 ^ []), 12 ^ [])), relation(13 ^ []), -(relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))), in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ [])), in(ordered_pair(10 ^ [13 ^ [], 12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]), 13 ^ [])],extension(9,bind([[_32201, _20689, _20612, _20491], [10 ^ [13 ^ [], 12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]], relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]]))).
% 1.66/2.50 cnf('1.1.2.2.2.1',plain,[-(relation(13 ^ []))],extension(1)).
% 1.66/2.50 cnf('1.1.2.2.2.2',plain,[relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))],extension(2)).
% 1.66/2.50 cnf('1.1.2.2.2.3',plain,[-(in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ [])))],reduction('1.1')).
% 1.66/2.50 cnf('1.1.2.2.2.4',plain,[-(in(ordered_pair(10 ^ [13 ^ [], 12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]), 13 ^ [])), relation(13 ^ []), in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ []))],extension(13,bind([[_26737, _26896, _26817], [2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 13 ^ [], 12 ^ []]]))).
% 1.66/2.50 cnf('1.1.2.2.2.4.1',plain,[-(relation(13 ^ []))],extension(1)).
% 1.66/2.50 cnf('1.1.2.2.2.4.2',plain,[-(in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ [])))],lemmata('1.1.2.2.2')).
% 1.66/2.50 cnf('1.1.2.2.3',plain,[-(in(10 ^ [13 ^ [], 12 ^ [], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]], 12 ^ [])), relation(13 ^ []), in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ []))],extension(14,bind([[_26737, _26896, _26817], [2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 13 ^ [], 12 ^ []]]))).
% 1.66/2.50 cnf('1.1.2.2.3.1',plain,[-(relation(13 ^ []))],extension(1)).
% 1.66/2.50 cnf('1.1.2.2.3.2',plain,[-(in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ [])))],reduction('1.1')).
% 1.66/2.50 cnf('1.1.3',plain,[in(ordered_pair(3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]), 13 ^ []), relation(13 ^ []), -(relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))), in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ [])), in(3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], set_intersection2(relation_dom(13 ^ []), 12 ^ []))],extension(9,bind([[_20491, _20689, _32201, _20612], [13 ^ [], relation_image(13 ^ [], 12 ^ []), 3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], set_intersection2(relation_dom(13 ^ []), 12 ^ [])]]))).
% 1.66/2.50 cnf('1.1.3.1',plain,[-(relation(13 ^ []))],extension(1)).
% 1.66/2.50 cnf('1.1.3.2',plain,[relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))],extension(2)).
% 1.66/2.50 cnf('1.1.3.3',plain,[-(in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ []))), relation(13 ^ []), relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], 12 ^ []), in(ordered_pair(3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]), 13 ^ []), in(3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 12 ^ [])],extension(6,bind([[_20689, _20861, _20491, _20987, _20612], [relation_image(13 ^ [], 12 ^ []), 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 13 ^ [], 3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 12 ^ []]]))).
% 1.66/2.50 cnf('1.1.3.3.1',plain,[-(relation(13 ^ []))],extension(1)).
% 1.66/2.50 cnf('1.1.3.3.2',plain,[-(relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], 12 ^ [])), 13 ^ [] = 13 ^ [], 12 ^ [] = 12 ^ []],extension(3,bind([[_17029, _17096, _17162, _17227], [13 ^ [], 13 ^ [], 12 ^ [], 12 ^ []]]))).
% 1.66/2.50 cnf('1.1.3.3.2.1',plain,[-(13 ^ [] = 13 ^ [])],extension(5,bind([[_13212], [13 ^ []]]))).
% 1.66/2.50 cnf('1.1.3.3.2.2',plain,[-(12 ^ [] = 12 ^ [])],extension(5,bind([[_13212], [12 ^ []]]))).
% 1.66/2.50 cnf('1.1.3.3.3',plain,[-(in(ordered_pair(3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []]), 13 ^ []))],reduction('1.1')).
% 1.66/2.50 cnf('1.1.3.3.4',plain,[-(in(3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], 12 ^ [])), set_intersection2(relation_dom(13 ^ []), 12 ^ []) = set_intersection2(relation_dom(13 ^ []), 12 ^ []), in(3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], set_intersection2(relation_dom(13 ^ []), 12 ^ []))],extension(10,bind([[_21370, _21440, _21673, _21509], [relation_dom(13 ^ []), 12 ^ [], 3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], set_intersection2(relation_dom(13 ^ []), 12 ^ [])]]))).
% 1.66/2.50 cnf('1.1.3.3.4.1',plain,[-(set_intersection2(relation_dom(13 ^ []), 12 ^ []) = set_intersection2(relation_dom(13 ^ []), 12 ^ []))],extension(5,bind([[_13212], [set_intersection2(relation_dom(13 ^ []), 12 ^ [])]]))).
% 1.66/2.50 cnf('1.1.3.3.4.2',plain,[-(in(3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], set_intersection2(relation_dom(13 ^ []), 12 ^ []))), relation(13 ^ []), -(relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))), -(in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ [])))],extension(8,bind([[_20612, _20491, _20689], [set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ [], relation_image(13 ^ [], 12 ^ [])]]))).
% 1.66/2.50 cnf('1.1.3.3.4.2.1',plain,[-(relation(13 ^ []))],extension(1)).
% 1.66/2.50 cnf('1.1.3.3.4.2.2',plain,[relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))],extension(2)).
% 1.66/2.50 cnf('1.1.3.3.4.2.3',plain,[in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ []))],lemmata('1.1')).
% 1.66/2.50 cnf('1.1.3.4',plain,[-(in(3 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], set_intersection2(relation_dom(13 ^ []), 12 ^ []))), relation(13 ^ []), -(relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))), -(in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ [])))],extension(8,bind([[_20612, _20491, _20689], [set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ [], relation_image(13 ^ [], 12 ^ [])]]))).
% 1.66/2.50 cnf('1.1.3.4.1',plain,[-(relation(13 ^ []))],extension(1)).
% 1.66/2.50 cnf('1.1.3.4.2',plain,[relation_image(13 ^ [], 12 ^ []) = relation_image(13 ^ [], set_intersection2(relation_dom(13 ^ []), 12 ^ []))],extension(2)).
% 1.66/2.50 cnf('1.1.3.4.3',plain,[in(2 ^ [relation_image(13 ^ [], 12 ^ []), set_intersection2(relation_dom(13 ^ []), 12 ^ []), 13 ^ []], relation_image(13 ^ [], 12 ^ []))],lemmata('1.1')).
% 1.66/2.50 %-----------------------------------------------------
% 1.67/2.50
% 1.67/2.51 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------