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leanCoP---2.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU275+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n013.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 12:01:37 EDT 2022

% Result   : Theorem 0.83s 1.41s
% Output   : Proof 0.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU275+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 02:54:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.83/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.42  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.42  
% 0.83/1.42  %-----------------------------------------------------
% 0.83/1.42  fof(t7_wellord2, conjecture, ! [_109342] : (ordinal(_109342) => well_ordering(inclusion_relation(_109342))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_wellord2)).
% 0.83/1.42  fof(d4_wellord1, axiom, ! [_109765] : (relation(_109765) => (well_ordering(_109765) <=> reflexive(_109765) & transitive(_109765) & antisymmetric(_109765) & connected(_109765) & well_founded_relation(_109765))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_wellord1)).
% 0.83/1.42  fof(dt_k1_wellord2, axiom, ! [_110071] : relation(inclusion_relation(_110071)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_wellord2)).
% 0.83/1.42  fof(t2_wellord2, lemma, ! [_110501] : reflexive(inclusion_relation(_110501)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_wellord2)).
% 0.83/1.42  fof(t3_wellord2, lemma, ! [_110649] : transitive(inclusion_relation(_110649)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_wellord2)).
% 0.83/1.42  fof(t4_wellord2, lemma, ! [_110785] : (ordinal(_110785) => connected(inclusion_relation(_110785))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_wellord2)).
% 0.83/1.42  fof(t5_wellord2, lemma, ! [_110943] : antisymmetric(inclusion_relation(_110943)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_wellord2)).
% 0.83/1.42  fof(t6_wellord2, lemma, ! [_111069] : (ordinal(_111069) => well_founded_relation(inclusion_relation(_111069))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_wellord2)).
% 0.83/1.42  
% 0.83/1.42  cnf(1, plain, [-(ordinal(146 ^ []))], clausify(t7_wellord2)).
% 0.83/1.42  cnf(2, plain, [well_ordering(inclusion_relation(146 ^ []))], clausify(t7_wellord2)).
% 0.83/1.42  cnf(3, plain, [relation(_21148), -(well_ordering(_21148)), reflexive(_21148), transitive(_21148), antisymmetric(_21148), connected(_21148), well_founded_relation(_21148)], clausify(d4_wellord1)).
% 0.83/1.42  cnf(4, plain, [-(relation(inclusion_relation(_21726)))], clausify(dt_k1_wellord2)).
% 0.83/1.42  cnf(5, plain, [-(reflexive(inclusion_relation(_24267)))], clausify(t2_wellord2)).
% 0.83/1.42  cnf(6, plain, [-(transitive(inclusion_relation(_24632)))], clausify(t3_wellord2)).
% 0.83/1.42  cnf(7, plain, [ordinal(_25035), -(connected(inclusion_relation(_25035)))], clausify(t4_wellord2)).
% 0.83/1.42  cnf(8, plain, [-(antisymmetric(inclusion_relation(_25352)))], clausify(t5_wellord2)).
% 0.83/1.42  cnf(9, plain, [ordinal(_25532), -(well_founded_relation(inclusion_relation(_25532)))], clausify(t6_wellord2)).
% 0.83/1.42  
% 0.83/1.42  cnf('1',plain,[well_ordering(inclusion_relation(146 ^ []))],start(2)).
% 0.83/1.42  cnf('1.1',plain,[-(well_ordering(inclusion_relation(146 ^ []))), relation(inclusion_relation(146 ^ [])), reflexive(inclusion_relation(146 ^ [])), transitive(inclusion_relation(146 ^ [])), antisymmetric(inclusion_relation(146 ^ [])), connected(inclusion_relation(146 ^ [])), well_founded_relation(inclusion_relation(146 ^ []))],extension(3,bind([[_21148], [inclusion_relation(146 ^ [])]]))).
% 0.83/1.42  cnf('1.1.1',plain,[-(relation(inclusion_relation(146 ^ [])))],extension(4,bind([[_21726], [146 ^ []]]))).
% 0.83/1.42  cnf('1.1.2',plain,[-(reflexive(inclusion_relation(146 ^ [])))],extension(5,bind([[_24267], [146 ^ []]]))).
% 0.83/1.42  cnf('1.1.3',plain,[-(transitive(inclusion_relation(146 ^ [])))],extension(6,bind([[_24632], [146 ^ []]]))).
% 0.83/1.42  cnf('1.1.4',plain,[-(antisymmetric(inclusion_relation(146 ^ [])))],extension(8,bind([[_25352], [146 ^ []]]))).
% 0.83/1.42  cnf('1.1.5',plain,[-(connected(inclusion_relation(146 ^ []))), ordinal(146 ^ [])],extension(7,bind([[_25035], [146 ^ []]]))).
% 0.83/1.42  cnf('1.1.5.1',plain,[-(ordinal(146 ^ []))],extension(1)).
% 0.83/1.42  cnf('1.1.6',plain,[-(well_founded_relation(inclusion_relation(146 ^ []))), ordinal(146 ^ [])],extension(9,bind([[_25532], [146 ^ []]]))).
% 0.83/1.42  cnf('1.1.6.1',plain,[-(ordinal(146 ^ []))],extension(1)).
% 0.83/1.42  %-----------------------------------------------------
% 0.83/1.43  
% 0.83/1.43  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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