TSTP Solution File: SEU195+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU195+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 74.08s 71.90s
% Output : Proof 74.08s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU195+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n021.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 03:17:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 74.08/71.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.08/71.90 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.08/71.91
% 74.08/71.91 %-----------------------------------------------------
% 74.08/71.91 fof(t94_relat_1, conjecture, ! [_258474, _258477] : (relation(_258477) => relation_dom_restriction(_258477, _258474) = relation_composition(identity_relation(_258474), _258477)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t94_relat_1)).
% 74.08/71.91 fof(d11_relat_1, axiom, ! [_258724] : (relation(_258724) => ! [_258739, _258742] : (relation(_258742) => (_258742 = relation_dom_restriction(_258724, _258739) <=> ! [_258770, _258773] : (in(ordered_pair(_258770, _258773), _258742) <=> in(_258770, _258739) & in(ordered_pair(_258770, _258773), _258724))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d11_relat_1)).
% 74.08/71.91 fof(dt_k5_relat_1, axiom, ! [_259215, _259218] : (relation(_259215) & relation(_259218) => relation(relation_composition(_259215, _259218))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_relat_1)).
% 74.08/71.91 fof(dt_k6_relat_1, axiom, ! [_259385] : relation(identity_relation(_259385)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k6_relat_1)).
% 74.08/71.91 fof(t74_relat_1, lemma, ! [_259653, _259656, _259659, _259662] : (relation(_259662) => (in(ordered_pair(_259653, _259656), relation_composition(identity_relation(_259659), _259662)) <=> in(_259653, _259659) & in(ordered_pair(_259653, _259656), _259662))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t74_relat_1)).
% 74.08/71.91
% 74.08/71.91 cnf(1, plain, [-(relation(61 ^ []))], clausify(t94_relat_1)).
% 74.08/71.91 cnf(2, plain, [relation_dom_restriction(61 ^ [], 60 ^ []) = relation_composition(identity_relation(60 ^ []), 61 ^ [])], clausify(t94_relat_1)).
% 74.08/71.91 cnf(3, plain, [_83556 = _83601, -(_83601 = _83556)], theory(equality)).
% 74.08/71.91 cnf(4, plain, [relation(_103943), relation(_104157), -(_104157 = relation_dom_restriction(_103943, _104072)), -(in(ordered_pair(3 ^ [_104157, _104072, _103943], 4 ^ [_104157, _104072, _103943]), _104157)), -(in(3 ^ [_104157, _104072, _103943], _104072))], clausify(d11_relat_1)).
% 74.08/71.91 cnf(5, plain, [relation(_103943), relation(_104157), -(_104157 = relation_dom_restriction(_103943, _104072)), -(in(ordered_pair(3 ^ [_104157, _104072, _103943], 4 ^ [_104157, _104072, _103943]), _104157)), -(in(ordered_pair(3 ^ [_104157, _104072, _103943], 4 ^ [_104157, _104072, _103943]), _103943))], clausify(d11_relat_1)).
% 74.08/71.91 cnf(6, plain, [relation(_103943), relation(_104157), -(_104157 = relation_dom_restriction(_103943, _104072)), in(ordered_pair(3 ^ [_104157, _104072, _103943], 4 ^ [_104157, _104072, _103943]), _104157), in(3 ^ [_104157, _104072, _103943], _104072), in(ordered_pair(3 ^ [_104157, _104072, _103943], 4 ^ [_104157, _104072, _103943]), _103943)], clausify(d11_relat_1)).
% 74.08/71.91 cnf(7, plain, [-(relation(relation_composition(_123960, _124011))), relation(_123960), relation(_124011)], clausify(dt_k5_relat_1)).
% 74.08/71.91 cnf(8, plain, [-(relation(identity_relation(_124743)))], clausify(dt_k6_relat_1)).
% 74.08/71.91 cnf(9, plain, [relation(_171732), in(ordered_pair(_171504, _171581), relation_composition(identity_relation(_171657), _171732)), -(in(_171504, _171657))], clausify(t74_relat_1)).
% 74.08/71.91 cnf(10, plain, [relation(_171732), in(ordered_pair(_171504, _171581), relation_composition(identity_relation(_171657), _171732)), -(in(ordered_pair(_171504, _171581), _171732))], clausify(t74_relat_1)).
% 74.08/71.91 cnf(11, plain, [relation(_171732), -(in(ordered_pair(_171504, _171581), relation_composition(identity_relation(_171657), _171732))), in(_171504, _171657), in(ordered_pair(_171504, _171581), _171732)], clausify(t74_relat_1)).
% 74.08/71.91
% 74.08/71.91 cnf('1',plain,[relation_dom_restriction(61 ^ [], 60 ^ []) = relation_composition(identity_relation(60 ^ []), 61 ^ [])],start(2)).
% 74.08/71.91 cnf('1.1',plain,[-(relation_dom_restriction(61 ^ [], 60 ^ []) = relation_composition(identity_relation(60 ^ []), 61 ^ [])), relation_composition(identity_relation(60 ^ []), 61 ^ []) = relation_dom_restriction(61 ^ [], 60 ^ [])],extension(3,bind([[_83556, _83601], [relation_composition(identity_relation(60 ^ []), 61 ^ []), relation_dom_restriction(61 ^ [], 60 ^ [])]]))).
% 74.08/71.91 cnf('1.1.1',plain,[-(relation_composition(identity_relation(60 ^ []), 61 ^ []) = relation_dom_restriction(61 ^ [], 60 ^ [])), relation(61 ^ []), relation(relation_composition(identity_relation(60 ^ []), 61 ^ [])), in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), relation_composition(identity_relation(60 ^ []), 61 ^ [])), in(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 60 ^ []), in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), 61 ^ [])],extension(6,bind([[_104157, _104072, _103943], [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]]))).
% 74.08/71.91 cnf('1.1.1.1',plain,[-(relation(61 ^ []))],extension(1)).
% 74.08/71.91 cnf('1.1.1.2',plain,[-(relation(relation_composition(identity_relation(60 ^ []), 61 ^ []))), relation(identity_relation(60 ^ [])), relation(61 ^ [])],extension(7,bind([[_123960, _124011], [identity_relation(60 ^ []), 61 ^ []]]))).
% 74.08/71.91 cnf('1.1.1.2.1',plain,[-(relation(identity_relation(60 ^ [])))],extension(8,bind([[_124743], [60 ^ []]]))).
% 74.08/71.91 cnf('1.1.1.2.2',plain,[-(relation(61 ^ []))],extension(1)).
% 74.08/71.91 cnf('1.1.1.3',plain,[-(in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), relation_composition(identity_relation(60 ^ []), 61 ^ []))), relation(61 ^ []), in(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 60 ^ []), in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), 61 ^ [])],extension(11,bind([[_171657, _171504, _171581, _171732], [60 ^ [], 3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 61 ^ []]]))).
% 74.08/71.91 cnf('1.1.1.3.1',plain,[-(relation(61 ^ []))],extension(1)).
% 74.08/71.91 cnf('1.1.1.3.2',plain,[-(in(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 60 ^ [])), relation(61 ^ []), relation(relation_composition(identity_relation(60 ^ []), 61 ^ [])), -(relation_composition(identity_relation(60 ^ []), 61 ^ []) = relation_dom_restriction(61 ^ [], 60 ^ [])), -(in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), relation_composition(identity_relation(60 ^ []), 61 ^ [])))],extension(4,bind([[_104072, _103943, _104157], [60 ^ [], 61 ^ [], relation_composition(identity_relation(60 ^ []), 61 ^ [])]]))).
% 74.08/71.91 cnf('1.1.1.3.2.1',plain,[-(relation(61 ^ []))],extension(1)).
% 74.08/71.91 cnf('1.1.1.3.2.2',plain,[-(relation(relation_composition(identity_relation(60 ^ []), 61 ^ [])))],lemmata('1.1.1')).
% 74.08/71.91 cnf('1.1.1.3.2.3',plain,[relation_composition(identity_relation(60 ^ []), 61 ^ []) = relation_dom_restriction(61 ^ [], 60 ^ [])],reduction('1.1')).
% 74.08/71.91 cnf('1.1.1.3.2.4',plain,[in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), relation_composition(identity_relation(60 ^ []), 61 ^ []))],reduction('1.1.1')).
% 74.08/71.91 cnf('1.1.1.3.3',plain,[-(in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), 61 ^ [])), relation(61 ^ []), relation(relation_composition(identity_relation(60 ^ []), 61 ^ [])), -(relation_composition(identity_relation(60 ^ []), 61 ^ []) = relation_dom_restriction(61 ^ [], 60 ^ [])), -(in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), relation_composition(identity_relation(60 ^ []), 61 ^ [])))],extension(5,bind([[_104072, _103943, _104157], [60 ^ [], 61 ^ [], relation_composition(identity_relation(60 ^ []), 61 ^ [])]]))).
% 74.08/71.91 cnf('1.1.1.3.3.1',plain,[-(relation(61 ^ []))],extension(1)).
% 74.08/71.91 cnf('1.1.1.3.3.2',plain,[-(relation(relation_composition(identity_relation(60 ^ []), 61 ^ [])))],lemmata('1.1.1')).
% 74.08/71.91 cnf('1.1.1.3.3.3',plain,[relation_composition(identity_relation(60 ^ []), 61 ^ []) = relation_dom_restriction(61 ^ [], 60 ^ [])],reduction('1.1')).
% 74.08/71.91 cnf('1.1.1.3.3.4',plain,[in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), relation_composition(identity_relation(60 ^ []), 61 ^ []))],reduction('1.1.1')).
% 74.08/71.91 cnf('1.1.1.4',plain,[-(in(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 60 ^ [])), relation(61 ^ []), relation(relation_composition(identity_relation(60 ^ []), 61 ^ [])), -(relation_composition(identity_relation(60 ^ []), 61 ^ []) = relation_dom_restriction(61 ^ [], 60 ^ [])), -(in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), relation_composition(identity_relation(60 ^ []), 61 ^ [])))],extension(4,bind([[_104072, _103943, _104157], [60 ^ [], 61 ^ [], relation_composition(identity_relation(60 ^ []), 61 ^ [])]]))).
% 74.08/71.91 cnf('1.1.1.4.1',plain,[-(relation(61 ^ []))],extension(1)).
% 74.08/71.91 cnf('1.1.1.4.2',plain,[-(relation(relation_composition(identity_relation(60 ^ []), 61 ^ [])))],lemmata('1.1.1')).
% 74.08/71.91 cnf('1.1.1.4.3',plain,[relation_composition(identity_relation(60 ^ []), 61 ^ []) = relation_dom_restriction(61 ^ [], 60 ^ [])],reduction('1.1')).
% 74.08/71.91 cnf('1.1.1.4.4',plain,[in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), relation_composition(identity_relation(60 ^ []), 61 ^ [])), relation(61 ^ []), -(in(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 60 ^ []))],extension(9,bind([[_171581, _171732, _171504, _171657], [4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 61 ^ [], 3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 60 ^ []]]))).
% 74.08/71.91 cnf('1.1.1.4.4.1',plain,[-(relation(61 ^ []))],extension(1)).
% 74.08/71.91 cnf('1.1.1.4.4.2',plain,[in(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 60 ^ [])],reduction('1.1.1')).
% 74.08/71.91 cnf('1.1.1.5',plain,[-(in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), 61 ^ [])), relation(61 ^ []), relation(relation_composition(identity_relation(60 ^ []), 61 ^ [])), -(relation_composition(identity_relation(60 ^ []), 61 ^ []) = relation_dom_restriction(61 ^ [], 60 ^ [])), -(in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), relation_composition(identity_relation(60 ^ []), 61 ^ [])))],extension(5,bind([[_104072, _103943, _104157], [60 ^ [], 61 ^ [], relation_composition(identity_relation(60 ^ []), 61 ^ [])]]))).
% 74.08/71.91 cnf('1.1.1.5.1',plain,[-(relation(61 ^ []))],extension(1)).
% 74.08/71.91 cnf('1.1.1.5.2',plain,[-(relation(relation_composition(identity_relation(60 ^ []), 61 ^ [])))],lemmata('1.1.1')).
% 74.08/71.91 cnf('1.1.1.5.3',plain,[relation_composition(identity_relation(60 ^ []), 61 ^ []) = relation_dom_restriction(61 ^ [], 60 ^ [])],reduction('1.1')).
% 74.08/71.91 cnf('1.1.1.5.4',plain,[in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), relation_composition(identity_relation(60 ^ []), 61 ^ [])), relation(61 ^ []), -(in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), 61 ^ []))],extension(10,bind([[_171657, _171504, _171581, _171732], [60 ^ [], 3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 61 ^ []]]))).
% 74.08/71.91 cnf('1.1.1.5.4.1',plain,[-(relation(61 ^ []))],extension(1)).
% 74.08/71.91 cnf('1.1.1.5.4.2',plain,[in(ordered_pair(3 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []], 4 ^ [relation_composition(identity_relation(60 ^ []), 61 ^ []), 60 ^ [], 61 ^ []]), 61 ^ [])],reduction('1.1.1')).
% 74.08/71.91 %-----------------------------------------------------
% 74.08/71.91
% 74.08/71.92 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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