TSTP Solution File: SEU257+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU257+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 14.87s 14.90s
% Output : Proof 14.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU257+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n017.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 : Sun Jun 19 18:14:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 14.87/14.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.87/14.90 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.87/14.91
% 14.87/14.91 %-----------------------------------------------------
% 14.87/14.91 fof(t32_wellord1, conjecture, ! [_498444, _498447] : (relation(_498447) => well_ordering(_498447) => well_ordering(relation_restriction(_498447, _498444))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t32_wellord1)).
% 14.87/14.91 fof(d4_wellord1, axiom, ! [_498888] : (relation(_498888) => (well_ordering(_498888) <=> reflexive(_498888) & transitive(_498888) & antisymmetric(_498888) & connected(_498888) & well_founded_relation(_498888))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_wellord1)).
% 14.87/14.91 fof(dt_k2_wellord1, axiom, ! [_499246, _499249] : (relation(_499246) => relation(relation_restriction(_499246, _499249))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k2_wellord1)).
% 14.87/14.91 fof(t22_wellord1, lemma, ! [_499615, _499618] : (relation(_499618) => reflexive(_499618) => reflexive(relation_restriction(_499618, _499615))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t22_wellord1)).
% 14.87/14.91 fof(t23_wellord1, lemma, ! [_499786, _499789] : (relation(_499789) => connected(_499789) => connected(relation_restriction(_499789, _499786))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t23_wellord1)).
% 14.87/14.91 fof(t24_wellord1, lemma, ! [_499956, _499959] : (relation(_499959) => transitive(_499959) => transitive(relation_restriction(_499959, _499956))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t24_wellord1)).
% 14.87/14.91 fof(t25_wellord1, lemma, ! [_500127, _500130] : (relation(_500130) => antisymmetric(_500130) => antisymmetric(relation_restriction(_500130, _500127))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t25_wellord1)).
% 14.87/14.91 fof(t31_wellord1, lemma, ! [_500307, _500310] : (relation(_500310) => well_founded_relation(_500310) => well_founded_relation(relation_restriction(_500310, _500307))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t31_wellord1)).
% 14.87/14.91
% 14.87/14.91 cnf(1, plain, [-(relation(122 ^ []))], clausify(t32_wellord1)).
% 14.87/14.91 cnf(2, plain, [-(well_ordering(122 ^ []))], clausify(t32_wellord1)).
% 14.87/14.91 cnf(3, plain, [well_ordering(relation_restriction(122 ^ [], 121 ^ []))], clausify(t32_wellord1)).
% 14.87/14.91 cnf(4, plain, [relation(_232377), well_ordering(_232377), -(reflexive(_232377))], clausify(d4_wellord1)).
% 14.87/14.91 cnf(5, plain, [relation(_232377), well_ordering(_232377), -(transitive(_232377))], clausify(d4_wellord1)).
% 14.87/14.91 cnf(6, plain, [relation(_232377), well_ordering(_232377), -(antisymmetric(_232377))], clausify(d4_wellord1)).
% 14.87/14.91 cnf(7, plain, [relation(_232377), well_ordering(_232377), -(connected(_232377))], clausify(d4_wellord1)).
% 14.87/14.91 cnf(8, plain, [relation(_232377), well_ordering(_232377), -(well_founded_relation(_232377))], clausify(d4_wellord1)).
% 14.87/14.91 cnf(9, plain, [relation(_232377), -(well_ordering(_232377)), reflexive(_232377), transitive(_232377), antisymmetric(_232377), connected(_232377), well_founded_relation(_232377)], clausify(d4_wellord1)).
% 14.87/14.91 cnf(10, plain, [relation(_247407), -(relation(relation_restriction(_247407, _247453)))], clausify(dt_k2_wellord1)).
% 14.87/14.91 cnf(11, plain, [relation(_302022), reflexive(_302022), -(reflexive(relation_restriction(_302022, _301971)))], clausify(t22_wellord1)).
% 14.87/14.91 cnf(12, plain, [relation(_303585), connected(_303585), -(connected(relation_restriction(_303585, _303534)))], clausify(t23_wellord1)).
% 14.87/14.91 cnf(13, plain, [relation(_304552), transitive(_304552), -(transitive(relation_restriction(_304552, _304501)))], clausify(t24_wellord1)).
% 14.87/14.91 cnf(14, plain, [relation(_305519), antisymmetric(_305519), -(antisymmetric(relation_restriction(_305519, _305468)))], clausify(t25_wellord1)).
% 14.87/14.91 cnf(15, plain, [relation(_308987), well_founded_relation(_308987), -(well_founded_relation(relation_restriction(_308987, _308936)))], clausify(t31_wellord1)).
% 14.87/14.91
% 14.87/14.91 cnf('1',plain,[well_ordering(relation_restriction(122 ^ [], 121 ^ []))],start(3)).
% 14.87/14.91 cnf('1.1',plain,[-(well_ordering(relation_restriction(122 ^ [], 121 ^ []))), relation(relation_restriction(122 ^ [], 121 ^ [])), reflexive(relation_restriction(122 ^ [], 121 ^ [])), transitive(relation_restriction(122 ^ [], 121 ^ [])), antisymmetric(relation_restriction(122 ^ [], 121 ^ [])), connected(relation_restriction(122 ^ [], 121 ^ [])), well_founded_relation(relation_restriction(122 ^ [], 121 ^ []))],extension(9,bind([[_232377], [relation_restriction(122 ^ [], 121 ^ [])]]))).
% 14.87/14.91 cnf('1.1.1',plain,[-(relation(relation_restriction(122 ^ [], 121 ^ []))), relation(122 ^ [])],extension(10,bind([[_247453, _247407], [121 ^ [], 122 ^ []]]))).
% 14.87/14.91 cnf('1.1.1.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.2',plain,[-(reflexive(relation_restriction(122 ^ [], 121 ^ []))), relation(122 ^ []), reflexive(122 ^ [])],extension(11,bind([[_301971, _302022], [121 ^ [], 122 ^ []]]))).
% 14.87/14.91 cnf('1.1.2.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.2.2',plain,[-(reflexive(122 ^ [])), relation(122 ^ []), well_ordering(122 ^ [])],extension(4,bind([[_232377], [122 ^ []]]))).
% 14.87/14.91 cnf('1.1.2.2.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.2.2.2',plain,[-(well_ordering(122 ^ []))],extension(2)).
% 14.87/14.91 cnf('1.1.3',plain,[-(transitive(relation_restriction(122 ^ [], 121 ^ []))), relation(122 ^ []), transitive(122 ^ [])],extension(13,bind([[_304501, _304552], [121 ^ [], 122 ^ []]]))).
% 14.87/14.91 cnf('1.1.3.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.3.2',plain,[-(transitive(122 ^ [])), relation(122 ^ []), well_ordering(122 ^ [])],extension(5,bind([[_232377], [122 ^ []]]))).
% 14.87/14.91 cnf('1.1.3.2.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.3.2.2',plain,[-(well_ordering(122 ^ []))],extension(2)).
% 14.87/14.91 cnf('1.1.4',plain,[-(antisymmetric(relation_restriction(122 ^ [], 121 ^ []))), relation(122 ^ []), antisymmetric(122 ^ [])],extension(14,bind([[_305468, _305519], [121 ^ [], 122 ^ []]]))).
% 14.87/14.91 cnf('1.1.4.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.4.2',plain,[-(antisymmetric(122 ^ [])), relation(122 ^ []), well_ordering(122 ^ [])],extension(6,bind([[_232377], [122 ^ []]]))).
% 14.87/14.91 cnf('1.1.4.2.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.4.2.2',plain,[-(well_ordering(122 ^ []))],extension(2)).
% 14.87/14.91 cnf('1.1.5',plain,[-(connected(relation_restriction(122 ^ [], 121 ^ []))), relation(122 ^ []), connected(122 ^ [])],extension(12,bind([[_303534, _303585], [121 ^ [], 122 ^ []]]))).
% 14.87/14.91 cnf('1.1.5.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.5.2',plain,[-(connected(122 ^ [])), relation(122 ^ []), well_ordering(122 ^ [])],extension(7,bind([[_232377], [122 ^ []]]))).
% 14.87/14.91 cnf('1.1.5.2.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.5.2.2',plain,[-(well_ordering(122 ^ []))],extension(2)).
% 14.87/14.91 cnf('1.1.6',plain,[-(well_founded_relation(relation_restriction(122 ^ [], 121 ^ []))), relation(122 ^ []), well_founded_relation(122 ^ [])],extension(15,bind([[_308936, _308987], [121 ^ [], 122 ^ []]]))).
% 14.87/14.91 cnf('1.1.6.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.6.2',plain,[-(well_founded_relation(122 ^ [])), relation(122 ^ []), well_ordering(122 ^ [])],extension(8,bind([[_232377], [122 ^ []]]))).
% 14.87/14.91 cnf('1.1.6.2.1',plain,[-(relation(122 ^ []))],extension(1)).
% 14.87/14.91 cnf('1.1.6.2.2',plain,[-(well_ordering(122 ^ []))],extension(2)).
% 14.87/14.91 %-----------------------------------------------------
% 14.87/14.92
% 14.87/14.92 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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