TSTP Solution File: SEU275+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 0.36s 1.40s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n019.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 03:13:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41 fof(t7_wellord2, conjecture, ! [_11706] : (ordinal(_11706) => well_ordering(inclusion_relation(_11706))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_wellord2)).
% 0.36/1.41 fof(dt_k1_wellord2, axiom, ! [_11850] : relation(inclusion_relation(_11850)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k1_wellord2)).
% 0.36/1.41 fof(t2_wellord2, axiom, ! [_11962] : reflexive(inclusion_relation(_11962)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_wellord2)).
% 0.36/1.41 fof(t3_wellord2, axiom, ! [_12071] : transitive(inclusion_relation(_12071)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_wellord2)).
% 0.36/1.41 fof(t4_wellord2, axiom, ! [_12180] : (ordinal(_12180) => connected(inclusion_relation(_12180))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t4_wellord2)).
% 0.36/1.41 fof(t5_wellord2, axiom, ! [_12310] : antisymmetric(inclusion_relation(_12310)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t5_wellord2)).
% 0.36/1.41 fof(t6_wellord2, axiom, ! [_12419] : (ordinal(_12419) => well_founded_relation(inclusion_relation(_12419))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t6_wellord2)).
% 0.36/1.41 fof(d4_wellord1, axiom, ! [_12554] : (relation(_12554) => (well_ordering(_12554) <=> reflexive(_12554) & transitive(_12554) & antisymmetric(_12554) & connected(_12554) & well_founded_relation(_12554))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_wellord1)).
% 0.36/1.41
% 0.36/1.41 cnf(1, plain, [-(ordinal(2 ^ []))], clausify(t7_wellord2)).
% 0.36/1.41 cnf(2, plain, [well_ordering(inclusion_relation(2 ^ []))], clausify(t7_wellord2)).
% 0.36/1.41 cnf(3, plain, [-(relation(inclusion_relation(_5342)))], clausify(dt_k1_wellord2)).
% 0.36/1.41 cnf(4, plain, [-(reflexive(inclusion_relation(_5781)))], clausify(t2_wellord2)).
% 0.36/1.41 cnf(5, plain, [-(transitive(inclusion_relation(_5951)))], clausify(t3_wellord2)).
% 0.36/1.41 cnf(6, plain, [ordinal(_6121), -(connected(inclusion_relation(_6121)))], clausify(t4_wellord2)).
% 0.36/1.41 cnf(7, plain, [-(antisymmetric(inclusion_relation(_6349)))], clausify(t5_wellord2)).
% 0.36/1.41 cnf(8, plain, [ordinal(_6509), -(well_founded_relation(inclusion_relation(_6509)))], clausify(t6_wellord2)).
% 0.36/1.41 cnf(9, plain, [relation(_4842), -(well_ordering(_4842)), reflexive(_4842), transitive(_4842), antisymmetric(_4842), connected(_4842), well_founded_relation(_4842)], clausify(d4_wellord1)).
% 0.36/1.41
% 0.36/1.41 cnf('1',plain,[well_ordering(inclusion_relation(2 ^ []))],start(2)).
% 0.36/1.41 cnf('1.1',plain,[-(well_ordering(inclusion_relation(2 ^ []))), relation(inclusion_relation(2 ^ [])), reflexive(inclusion_relation(2 ^ [])), transitive(inclusion_relation(2 ^ [])), antisymmetric(inclusion_relation(2 ^ [])), connected(inclusion_relation(2 ^ [])), well_founded_relation(inclusion_relation(2 ^ []))],extension(9,bind([[_4842], [inclusion_relation(2 ^ [])]]))).
% 0.36/1.41 cnf('1.1.1',plain,[-(relation(inclusion_relation(2 ^ [])))],extension(3,bind([[_5342], [2 ^ []]]))).
% 0.36/1.41 cnf('1.1.2',plain,[-(reflexive(inclusion_relation(2 ^ [])))],extension(4,bind([[_5781], [2 ^ []]]))).
% 0.36/1.41 cnf('1.1.3',plain,[-(transitive(inclusion_relation(2 ^ [])))],extension(5,bind([[_5951], [2 ^ []]]))).
% 0.36/1.41 cnf('1.1.4',plain,[-(antisymmetric(inclusion_relation(2 ^ [])))],extension(7,bind([[_6349], [2 ^ []]]))).
% 0.36/1.41 cnf('1.1.5',plain,[-(connected(inclusion_relation(2 ^ []))), ordinal(2 ^ [])],extension(6,bind([[_6121], [2 ^ []]]))).
% 0.36/1.41 cnf('1.1.5.1',plain,[-(ordinal(2 ^ []))],extension(1)).
% 0.36/1.41 cnf('1.1.6',plain,[-(well_founded_relation(inclusion_relation(2 ^ []))), ordinal(2 ^ [])],extension(8,bind([[_6509], [2 ^ []]]))).
% 0.36/1.41 cnf('1.1.6.1',plain,[-(ordinal(2 ^ []))],extension(1)).
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.42
% 0.36/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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