%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU195+1 : 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 12:00:54 EDT 2022
% Result : Theorem 0.37s 1.39s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU195+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n025.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 00:09:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.41
% 0.37/1.41 %-----------------------------------------------------
% 0.37/1.41 fof(t94_relat_1, conjecture, ! [_53076, _53079] : (relation(_53079) => relation_dom_restriction(_53079, _53076) = relation_composition(identity_relation(_53076), _53079)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t94_relat_1)).
% 0.37/1.41 fof(d11_relat_1, axiom, ! [_53293] : (relation(_53293) => ! [_53308, _53311] : (relation(_53311) => (_53311 = relation_dom_restriction(_53293, _53308) <=> ! [_53339, _53342] : (in(ordered_pair(_53339, _53342), _53311) <=> in(_53339, _53308) & in(ordered_pair(_53339, _53342), _53293))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d11_relat_1)).
% 0.37/1.41 fof(dt_k5_relat_1, axiom, ! [_53681, _53684] : (relation(_53681) & relation(_53684) => relation(relation_composition(_53681, _53684))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_relat_1)).
% 0.37/1.41 fof(dt_k6_relat_1, axiom, ! [_53850] : relation(identity_relation(_53850)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k6_relat_1)).
% 0.37/1.41 fof(t74_relat_1, axiom, ! [_53982, _53985, _53988, _53991] : (relation(_53991) => (in(ordered_pair(_53982, _53985), relation_composition(identity_relation(_53988), _53991)) <=> in(_53982, _53988) & in(ordered_pair(_53982, _53985), _53991))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t74_relat_1)).
% 0.37/1.41
% 0.37/1.41 cnf(1, plain, [-(relation(11 ^ []))], clausify(t94_relat_1)).
% 0.37/1.41 cnf(2, plain, [relation_dom_restriction(11 ^ [], 10 ^ []) = relation_composition(identity_relation(10 ^ []), 11 ^ [])], clausify(t94_relat_1)).
% 0.37/1.41 cnf(3, plain, [_12861 = _12906, -(_12906 = _12861)], theory(equality)).
% 0.37/1.41 cnf(4, plain, [relation(_19677), relation(_19891), -(_19891 = relation_dom_restriction(_19677, _19806)), -(in(ordered_pair(1 ^ [_19891, _19806, _19677], 2 ^ [_19891, _19806, _19677]), _19891)), -(in(1 ^ [_19891, _19806, _19677], _19806))], clausify(d11_relat_1)).
% 0.37/1.41 cnf(5, plain, [relation(_19677), relation(_19891), -(_19891 = relation_dom_restriction(_19677, _19806)), -(in(ordered_pair(1 ^ [_19891, _19806, _19677], 2 ^ [_19891, _19806, _19677]), _19891)), -(in(ordered_pair(1 ^ [_19891, _19806, _19677], 2 ^ [_19891, _19806, _19677]), _19677))], clausify(d11_relat_1)).
% 0.37/1.41 cnf(6, plain, [relation(_19677), relation(_19891), -(_19891 = relation_dom_restriction(_19677, _19806)), in(ordered_pair(1 ^ [_19891, _19806, _19677], 2 ^ [_19891, _19806, _19677]), _19891), in(1 ^ [_19891, _19806, _19677], _19806), in(ordered_pair(1 ^ [_19891, _19806, _19677], 2 ^ [_19891, _19806, _19677]), _19677)], clausify(d11_relat_1)).
% 0.37/1.41 cnf(7, plain, [-(relation(relation_composition(_22340, _22391))), relation(_22340), relation(_22391)], clausify(dt_k5_relat_1)).
% 0.37/1.41 cnf(8, plain, [-(relation(identity_relation(_22710)))], clausify(dt_k6_relat_1)).
% 0.37/1.41 cnf(9, plain, [relation(_27397), in(ordered_pair(_27169, _27246), relation_composition(identity_relation(_27322), _27397)), -(in(_27169, _27322))], clausify(t74_relat_1)).
% 0.37/1.41 cnf(10, plain, [relation(_27397), in(ordered_pair(_27169, _27246), relation_composition(identity_relation(_27322), _27397)), -(in(ordered_pair(_27169, _27246), _27397))], clausify(t74_relat_1)).
% 0.37/1.41 cnf(11, plain, [relation(_27397), -(in(ordered_pair(_27169, _27246), relation_composition(identity_relation(_27322), _27397))), in(_27169, _27322), in(ordered_pair(_27169, _27246), _27397)], clausify(t74_relat_1)).
% 0.37/1.41
% 0.37/1.41 cnf('1',plain,[relation_dom_restriction(11 ^ [], 10 ^ []) = relation_composition(identity_relation(10 ^ []), 11 ^ [])],start(2)).
% 0.37/1.41 cnf('1.1',plain,[-(relation_dom_restriction(11 ^ [], 10 ^ []) = relation_composition(identity_relation(10 ^ []), 11 ^ [])), relation_composition(identity_relation(10 ^ []), 11 ^ []) = relation_dom_restriction(11 ^ [], 10 ^ [])],extension(3,bind([[_12861, _12906], [relation_composition(identity_relation(10 ^ []), 11 ^ []), relation_dom_restriction(11 ^ [], 10 ^ [])]]))).
% 0.37/1.41 cnf('1.1.1',plain,[-(relation_composition(identity_relation(10 ^ []), 11 ^ []) = relation_dom_restriction(11 ^ [], 10 ^ [])), relation(11 ^ []), relation(relation_composition(identity_relation(10 ^ []), 11 ^ [])), in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), relation_composition(identity_relation(10 ^ []), 11 ^ [])), in(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 10 ^ []), in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), 11 ^ [])],extension(6,bind([[_19891, _19806, _19677], [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]]))).
% 0.37/1.41 cnf('1.1.1.1',plain,[-(relation(11 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.1.2',plain,[-(relation(relation_composition(identity_relation(10 ^ []), 11 ^ []))), relation(identity_relation(10 ^ [])), relation(11 ^ [])],extension(7,bind([[_22340, _22391], [identity_relation(10 ^ []), 11 ^ []]]))).
% 0.37/1.41 cnf('1.1.1.2.1',plain,[-(relation(identity_relation(10 ^ [])))],extension(8,bind([[_22710], [10 ^ []]]))).
% 0.37/1.41 cnf('1.1.1.2.2',plain,[-(relation(11 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.1.3',plain,[-(in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), relation_composition(identity_relation(10 ^ []), 11 ^ []))), relation(11 ^ []), in(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 10 ^ []), in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), 11 ^ [])],extension(11,bind([[_27322, _27169, _27246, _27397], [10 ^ [], 1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 11 ^ []]]))).
% 0.37/1.41 cnf('1.1.1.3.1',plain,[-(relation(11 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.1.3.2',plain,[-(in(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 10 ^ [])), relation(11 ^ []), relation(relation_composition(identity_relation(10 ^ []), 11 ^ [])), -(relation_composition(identity_relation(10 ^ []), 11 ^ []) = relation_dom_restriction(11 ^ [], 10 ^ [])), -(in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), relation_composition(identity_relation(10 ^ []), 11 ^ [])))],extension(4,bind([[_19806, _19677, _19891], [10 ^ [], 11 ^ [], relation_composition(identity_relation(10 ^ []), 11 ^ [])]]))).
% 0.37/1.41 cnf('1.1.1.3.2.1',plain,[-(relation(11 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.1.3.2.2',plain,[-(relation(relation_composition(identity_relation(10 ^ []), 11 ^ [])))],lemmata('1.1.1')).
% 0.37/1.41 cnf('1.1.1.3.2.3',plain,[relation_composition(identity_relation(10 ^ []), 11 ^ []) = relation_dom_restriction(11 ^ [], 10 ^ [])],reduction('1.1')).
% 0.37/1.41 cnf('1.1.1.3.2.4',plain,[in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), relation_composition(identity_relation(10 ^ []), 11 ^ []))],reduction('1.1.1')).
% 0.37/1.41 cnf('1.1.1.3.3',plain,[-(in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), 11 ^ [])), relation(11 ^ []), relation(relation_composition(identity_relation(10 ^ []), 11 ^ [])), -(relation_composition(identity_relation(10 ^ []), 11 ^ []) = relation_dom_restriction(11 ^ [], 10 ^ [])), -(in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), relation_composition(identity_relation(10 ^ []), 11 ^ [])))],extension(5,bind([[_19806, _19677, _19891], [10 ^ [], 11 ^ [], relation_composition(identity_relation(10 ^ []), 11 ^ [])]]))).
% 0.37/1.41 cnf('1.1.1.3.3.1',plain,[-(relation(11 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.1.3.3.2',plain,[-(relation(relation_composition(identity_relation(10 ^ []), 11 ^ [])))],lemmata('1.1.1')).
% 0.37/1.41 cnf('1.1.1.3.3.3',plain,[relation_composition(identity_relation(10 ^ []), 11 ^ []) = relation_dom_restriction(11 ^ [], 10 ^ [])],reduction('1.1')).
% 0.37/1.41 cnf('1.1.1.3.3.4',plain,[in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), relation_composition(identity_relation(10 ^ []), 11 ^ []))],reduction('1.1.1')).
% 0.37/1.41 cnf('1.1.1.4',plain,[-(in(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 10 ^ [])), relation(11 ^ []), relation(relation_composition(identity_relation(10 ^ []), 11 ^ [])), -(relation_composition(identity_relation(10 ^ []), 11 ^ []) = relation_dom_restriction(11 ^ [], 10 ^ [])), -(in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), relation_composition(identity_relation(10 ^ []), 11 ^ [])))],extension(4,bind([[_19806, _19677, _19891], [10 ^ [], 11 ^ [], relation_composition(identity_relation(10 ^ []), 11 ^ [])]]))).
% 0.37/1.41 cnf('1.1.1.4.1',plain,[-(relation(11 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.1.4.2',plain,[-(relation(relation_composition(identity_relation(10 ^ []), 11 ^ [])))],lemmata('1.1.1')).
% 0.37/1.41 cnf('1.1.1.4.3',plain,[relation_composition(identity_relation(10 ^ []), 11 ^ []) = relation_dom_restriction(11 ^ [], 10 ^ [])],reduction('1.1')).
% 0.37/1.41 cnf('1.1.1.4.4',plain,[in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), relation_composition(identity_relation(10 ^ []), 11 ^ [])), relation(11 ^ []), -(in(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 10 ^ []))],extension(9,bind([[_27246, _27397, _27169, _27322], [2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 11 ^ [], 1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 10 ^ []]]))).
% 0.37/1.41 cnf('1.1.1.4.4.1',plain,[-(relation(11 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.1.4.4.2',plain,[in(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 10 ^ [])],reduction('1.1.1')).
% 0.37/1.41 cnf('1.1.1.5',plain,[-(in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), 11 ^ [])), relation(11 ^ []), relation(relation_composition(identity_relation(10 ^ []), 11 ^ [])), -(relation_composition(identity_relation(10 ^ []), 11 ^ []) = relation_dom_restriction(11 ^ [], 10 ^ [])), -(in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), relation_composition(identity_relation(10 ^ []), 11 ^ [])))],extension(5,bind([[_19806, _19677, _19891], [10 ^ [], 11 ^ [], relation_composition(identity_relation(10 ^ []), 11 ^ [])]]))).
% 0.37/1.41 cnf('1.1.1.5.1',plain,[-(relation(11 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.1.5.2',plain,[-(relation(relation_composition(identity_relation(10 ^ []), 11 ^ [])))],lemmata('1.1.1')).
% 0.37/1.41 cnf('1.1.1.5.3',plain,[relation_composition(identity_relation(10 ^ []), 11 ^ []) = relation_dom_restriction(11 ^ [], 10 ^ [])],reduction('1.1')).
% 0.37/1.41 cnf('1.1.1.5.4',plain,[in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), relation_composition(identity_relation(10 ^ []), 11 ^ [])), relation(11 ^ []), -(in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), 11 ^ []))],extension(10,bind([[_27322, _27169, _27246, _27397], [10 ^ [], 1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 11 ^ []]]))).
% 0.37/1.41 cnf('1.1.1.5.4.1',plain,[-(relation(11 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.1.5.4.2',plain,[in(ordered_pair(1 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []], 2 ^ [relation_composition(identity_relation(10 ^ []), 11 ^ []), 10 ^ [], 11 ^ []]), 11 ^ [])],reduction('1.1.1')).
% 0.37/1.41 %-----------------------------------------------------
% 0.37/1.41
% 0.37/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------