TSTP Solution File: SEU258+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU258+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 12:01:29 EDT 2022
% Result : Theorem 71.64s 69.65s
% Output : Proof 71.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU258+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jun 19 11:36:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 71.64/69.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.64/69.66 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.64/69.67
% 71.64/69.67 %-----------------------------------------------------
% 71.64/69.67 fof(t39_wellord1, conjecture, ! [_69645, _69648] : (relation(_69648) => well_ordering(_69648) & subset(_69645, relation_field(_69648)) => relation_field(relation_restriction(_69648, _69645)) = _69645), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t39_wellord1)).
% 71.64/69.67 fof(d10_xboole_0, axiom, ! [_69931, _69934] : (_69931 = _69934 <=> subset(_69931, _69934) & subset(_69934, _69931)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d10_xboole_0)).
% 71.64/69.67 fof(d3_tarski, axiom, ! [_70101, _70104] : (subset(_70101, _70104) <=> ! [_70122] : (in(_70122, _70101) => in(_70122, _70104))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 71.64/69.67 fof(d4_wellord1, axiom, ! [_70329] : (relation(_70329) => (well_ordering(_70329) <=> reflexive(_70329) & transitive(_70329) & antisymmetric(_70329) & connected(_70329) & well_founded_relation(_70329))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_wellord1)).
% 71.64/69.67 fof(dt_k2_wellord1, axiom, ! [_70563, _70566] : (relation(_70563) => relation(relation_restriction(_70563, _70566))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k2_wellord1)).
% 71.64/69.67 fof(l1_wellord1, axiom, ! [_70720] : (relation(_70720) => (reflexive(_70720) <=> ! [_70742] : (in(_70742, relation_field(_70720)) => in(ordered_pair(_70742, _70742), _70720)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l1_wellord1)).
% 71.64/69.67 fof(t106_zfmisc_1, axiom, ! [_70965, _70968, _70971, _70974] : (in(ordered_pair(_70965, _70968), cartesian_product2(_70971, _70974)) <=> in(_70965, _70971) & in(_70968, _70974)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t106_zfmisc_1)).
% 71.64/69.67 fof(t16_wellord1, axiom, ! [_71195, _71198, _71201] : (relation(_71201) => (in(_71195, relation_restriction(_71201, _71198)) <=> in(_71195, _71201) & in(_71195, cartesian_product2(_71198, _71198)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t16_wellord1)).
% 71.64/69.67 fof(t20_wellord1, axiom, ! [_71436, _71439] : (relation(_71439) => subset(relation_field(relation_restriction(_71439, _71436)), relation_field(_71439)) & subset(relation_field(relation_restriction(_71439, _71436)), _71436)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t20_wellord1)).
% 71.64/69.67 fof(t30_relat_1, axiom, ! [_71664, _71667, _71670] : (relation(_71670) => in(ordered_pair(_71664, _71667), _71670) => in(_71664, relation_field(_71670)) & in(_71667, relation_field(_71670))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t30_relat_1)).
% 71.64/69.67
% 71.64/69.67 cnf(1, plain, [-(relation(10 ^ []))], clausify(t39_wellord1)).
% 71.64/69.67 cnf(2, plain, [-(well_ordering(10 ^ []))], clausify(t39_wellord1)).
% 71.64/69.67 cnf(3, plain, [-(subset(9 ^ [], relation_field(10 ^ [])))], clausify(t39_wellord1)).
% 71.64/69.67 cnf(4, plain, [relation_field(relation_restriction(10 ^ [], 9 ^ [])) = 9 ^ []], clausify(t39_wellord1)).
% 71.64/69.67 cnf(5, plain, [-(_33135 = _33186), subset(_33135, _33186), subset(_33186, _33135)], clausify(d10_xboole_0)).
% 71.64/69.67 cnf(6, plain, [-(subset(_33531, _33587)), -(in(1 ^ [_33587, _33531], _33531))], clausify(d3_tarski)).
% 71.64/69.67 cnf(7, plain, [-(subset(_33531, _33587)), in(1 ^ [_33587, _33531], _33587)], clausify(d3_tarski)).
% 71.64/69.67 cnf(8, plain, [subset(_33531, _33587), in(_33701, _33531), -(in(_33701, _33587))], clausify(d3_tarski)).
% 71.64/69.67 cnf(9, plain, [relation(_33992), well_ordering(_33992), -(reflexive(_33992))], clausify(d4_wellord1)).
% 71.64/69.67 cnf(10, plain, [relation(_36400), -(relation(relation_restriction(_36400, _36446)))], clausify(dt_k2_wellord1)).
% 71.64/69.67 cnf(11, plain, [relation(_39334), reflexive(_39334), in(_39470, relation_field(_39334)), -(in(ordered_pair(_39470, _39470), _39334))], clausify(l1_wellord1)).
% 71.64/69.67 cnf(12, plain, [-(in(ordered_pair(_41120, _41187), cartesian_product2(_41253, _41318))), in(_41120, _41253), in(_41187, _41318)], clausify(t106_zfmisc_1)).
% 71.64/69.67 cnf(13, plain, [relation(_41898), -(in(_41765, relation_restriction(_41898, _41832))), in(_41765, _41898), in(_41765, cartesian_product2(_41832, _41832))], clausify(t16_wellord1)).
% 71.64/69.67 cnf(14, plain, [relation(_42978), -(subset(relation_field(relation_restriction(_42978, _42916)), _42916))], clausify(t20_wellord1)).
% 71.64/69.67 cnf(15, plain, [relation(_44157), in(ordered_pair(_44022, _44090), _44157), -(in(_44022, relation_field(_44157)))], clausify(t30_relat_1)).
% 71.64/69.67
% 71.64/69.67 cnf('1',plain,[relation_field(relation_restriction(10 ^ [], 9 ^ [])) = 9 ^ []],start(4)).
% 71.64/69.67 cnf('1.1',plain,[-(relation_field(relation_restriction(10 ^ [], 9 ^ [])) = 9 ^ []), subset(relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []), subset(9 ^ [], relation_field(relation_restriction(10 ^ [], 9 ^ [])))],extension(5,bind([[_33186, _33135], [9 ^ [], relation_field(relation_restriction(10 ^ [], 9 ^ []))]]))).
% 71.64/69.67 cnf('1.1.1',plain,[-(subset(relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ [])), relation(10 ^ [])],extension(14,bind([[_42916, _42978], [9 ^ [], 10 ^ []]]))).
% 71.64/69.67 cnf('1.1.1.1',plain,[-(relation(10 ^ []))],extension(1)).
% 71.64/69.67 cnf('1.1.2',plain,[-(subset(9 ^ [], relation_field(relation_restriction(10 ^ [], 9 ^ [])))), -(in(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 9 ^ []))],extension(6,bind([[_33587, _33531], [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []]]))).
% 71.64/69.67 cnf('1.1.2.1',plain,[in(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 9 ^ []), subset(9 ^ [], relation_field(10 ^ [])), -(in(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], relation_field(10 ^ [])))],extension(8,bind([[_33531, _33701, _33587], [9 ^ [], 1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], relation_field(10 ^ [])]]))).
% 71.64/69.67 cnf('1.1.2.1.1',plain,[-(subset(9 ^ [], relation_field(10 ^ [])))],extension(3)).
% 71.64/69.67 cnf('1.1.2.1.2',plain,[in(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], relation_field(10 ^ [])), relation(10 ^ []), reflexive(10 ^ []), -(in(ordered_pair(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []]), 10 ^ []))],extension(11,bind([[_39470, _39334], [1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 10 ^ []]]))).
% 71.64/69.67 cnf('1.1.2.1.2.1',plain,[-(relation(10 ^ []))],extension(1)).
% 71.64/69.67 cnf('1.1.2.1.2.2',plain,[-(reflexive(10 ^ [])), relation(10 ^ []), well_ordering(10 ^ [])],extension(9,bind([[_33992], [10 ^ []]]))).
% 71.64/69.67 cnf('1.1.2.1.2.2.1',plain,[-(relation(10 ^ []))],extension(1)).
% 71.64/69.67 cnf('1.1.2.1.2.2.2',plain,[-(well_ordering(10 ^ []))],extension(2)).
% 71.64/69.67 cnf('1.1.2.1.2.3',plain,[in(ordered_pair(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []]), 10 ^ []), relation(10 ^ []), -(in(ordered_pair(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []]), relation_restriction(10 ^ [], 9 ^ []))), in(ordered_pair(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []]), cartesian_product2(9 ^ [], 9 ^ []))],extension(13,bind([[_41898, _41765, _41832], [10 ^ [], ordered_pair(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []]), 9 ^ []]]))).
% 71.64/69.67 cnf('1.1.2.1.2.3.1',plain,[-(relation(10 ^ []))],extension(1)).
% 71.64/69.67 cnf('1.1.2.1.2.3.2',plain,[in(ordered_pair(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []]), relation_restriction(10 ^ [], 9 ^ [])), relation(relation_restriction(10 ^ [], 9 ^ [])), -(in(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], relation_field(relation_restriction(10 ^ [], 9 ^ []))))],extension(15,bind([[_44090, _44022, _44157], [1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], relation_restriction(10 ^ [], 9 ^ [])]]))).
% 71.64/69.67 cnf('1.1.2.1.2.3.2.1',plain,[-(relation(relation_restriction(10 ^ [], 9 ^ []))), relation(10 ^ [])],extension(10,bind([[_36446, _36400], [9 ^ [], 10 ^ []]]))).
% 71.64/69.67 cnf('1.1.2.1.2.3.2.1.1',plain,[-(relation(10 ^ []))],extension(1)).
% 71.64/69.67 cnf('1.1.2.1.2.3.2.2',plain,[in(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], relation_field(relation_restriction(10 ^ [], 9 ^ []))), -(subset(9 ^ [], relation_field(relation_restriction(10 ^ [], 9 ^ []))))],extension(7,bind([[_33531, _33587], [9 ^ [], relation_field(relation_restriction(10 ^ [], 9 ^ []))]]))).
% 71.64/69.67 cnf('1.1.2.1.2.3.2.2.1',plain,[subset(9 ^ [], relation_field(relation_restriction(10 ^ [], 9 ^ [])))],reduction('1.1')).
% 71.64/69.67 cnf('1.1.2.1.2.3.3',plain,[-(in(ordered_pair(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []]), cartesian_product2(9 ^ [], 9 ^ []))), in(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 9 ^ []), in(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 9 ^ [])],extension(12,bind([[_41120, _41253, _41187, _41318], [1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 9 ^ [], 1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 9 ^ []]]))).
% 71.64/69.67 cnf('1.1.2.1.2.3.3.1',plain,[-(in(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 9 ^ []))],reduction('1.1.2')).
% 71.64/69.67 cnf('1.1.2.1.2.3.3.2',plain,[-(in(1 ^ [relation_field(relation_restriction(10 ^ [], 9 ^ [])), 9 ^ []], 9 ^ []))],lemmata('1.1.2.1.2.3.3')).
% 71.64/69.67 %-----------------------------------------------------
% 71.64/69.67
% 71.64/69.67 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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