TSTP Solution File: SEU261+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU261+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 12:01:31 EDT 2022
% Result : Theorem 15.59s 15.94s
% Output : Proof 15.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU261+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n021.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 13:58:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 15.59/15.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.59/15.94 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.59/15.95
% 15.59/15.95 %-----------------------------------------------------
% 15.59/15.95 fof(t54_wellord1, conjecture, ! [_523023] : (relation(_523023) => ! [_523038] : (relation(_523038) => ! [_523053] : (relation(_523053) & function(_523053) => well_ordering(_523023) & relation_isomorphism(_523023, _523038, _523053) => well_ordering(_523038)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t54_wellord1)).
% 15.59/15.95 fof(d4_wellord1, axiom, ! [_523643] : (relation(_523643) => (well_ordering(_523643) <=> reflexive(_523643) & transitive(_523643) & antisymmetric(_523643) & connected(_523643) & well_founded_relation(_523643))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_wellord1)).
% 15.59/15.95 fof(t53_wellord1, lemma, ! [_524318] : (relation(_524318) => ! [_524333] : (relation(_524333) => ! [_524348] : (relation(_524348) & function(_524348) => relation_isomorphism(_524318, _524333, _524348) => (reflexive(_524318) => reflexive(_524333)) & (transitive(_524318) => transitive(_524333)) & (connected(_524318) => connected(_524333)) & (antisymmetric(_524318) => antisymmetric(_524333)) & (well_founded_relation(_524318) => well_founded_relation(_524333))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t53_wellord1)).
% 15.59/15.95
% 15.59/15.95 cnf(1, plain, [-(relation(123 ^ []))], clausify(t54_wellord1)).
% 15.59/15.95 cnf(2, plain, [-(relation(124 ^ []))], clausify(t54_wellord1)).
% 15.59/15.95 cnf(3, plain, [-(relation(125 ^ []))], clausify(t54_wellord1)).
% 15.59/15.95 cnf(4, plain, [-(function(125 ^ []))], clausify(t54_wellord1)).
% 15.59/15.95 cnf(5, plain, [-(well_ordering(123 ^ []))], clausify(t54_wellord1)).
% 15.59/15.95 cnf(6, plain, [-(relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []))], clausify(t54_wellord1)).
% 15.59/15.95 cnf(7, plain, [well_ordering(124 ^ [])], clausify(t54_wellord1)).
% 15.59/15.95 cnf(8, plain, [relation(_239569), well_ordering(_239569), -(reflexive(_239569))], clausify(d4_wellord1)).
% 15.59/15.95 cnf(9, plain, [relation(_239569), well_ordering(_239569), -(transitive(_239569))], clausify(d4_wellord1)).
% 15.59/15.95 cnf(10, plain, [relation(_239569), well_ordering(_239569), -(antisymmetric(_239569))], clausify(d4_wellord1)).
% 15.59/15.95 cnf(11, plain, [relation(_239569), well_ordering(_239569), -(connected(_239569))], clausify(d4_wellord1)).
% 15.59/15.95 cnf(12, plain, [relation(_239569), well_ordering(_239569), -(well_founded_relation(_239569))], clausify(d4_wellord1)).
% 15.59/15.95 cnf(13, plain, [relation(_239569), -(well_ordering(_239569)), reflexive(_239569), transitive(_239569), antisymmetric(_239569), connected(_239569), well_founded_relation(_239569)], clausify(d4_wellord1)).
% 15.59/15.95 cnf(14, plain, [relation(_337833), relation(_337986), function(_338133), relation(_338133), relation_isomorphism(_337833, _337986, _338133), reflexive(_337833), -(reflexive(_337986))], clausify(t53_wellord1)).
% 15.59/15.95 cnf(15, plain, [relation(_337833), relation(_337986), function(_338133), relation(_338133), relation_isomorphism(_337833, _337986, _338133), transitive(_337833), -(transitive(_337986))], clausify(t53_wellord1)).
% 15.59/15.95 cnf(16, plain, [relation(_337833), relation(_337986), function(_338133), relation(_338133), relation_isomorphism(_337833, _337986, _338133), connected(_337833), -(connected(_337986))], clausify(t53_wellord1)).
% 15.59/15.95 cnf(17, plain, [relation(_337833), relation(_337986), function(_338133), relation(_338133), relation_isomorphism(_337833, _337986, _338133), antisymmetric(_337833), -(antisymmetric(_337986))], clausify(t53_wellord1)).
% 15.59/15.95 cnf(18, plain, [relation(_337833), relation(_337986), function(_338133), relation(_338133), relation_isomorphism(_337833, _337986, _338133), well_founded_relation(_337833), -(well_founded_relation(_337986))], clausify(t53_wellord1)).
% 15.59/15.95
% 15.59/15.95 cnf('1',plain,[well_ordering(124 ^ [])],start(7)).
% 15.59/15.95 cnf('1.1',plain,[-(well_ordering(124 ^ [])), relation(124 ^ []), reflexive(124 ^ []), transitive(124 ^ []), antisymmetric(124 ^ []), connected(124 ^ []), well_founded_relation(124 ^ [])],extension(13,bind([[_239569], [124 ^ []]]))).
% 15.59/15.95 cnf('1.1.1',plain,[-(relation(124 ^ []))],extension(2)).
% 15.59/15.95 cnf('1.1.2',plain,[-(reflexive(124 ^ [])), relation(123 ^ []), relation(124 ^ []), function(125 ^ []), relation(125 ^ []), relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []), reflexive(123 ^ [])],extension(14,bind([[_337986, _338133, _337833], [124 ^ [], 125 ^ [], 123 ^ []]]))).
% 15.59/15.95 cnf('1.1.2.1',plain,[-(relation(123 ^ []))],extension(1)).
% 15.59/15.95 cnf('1.1.2.2',plain,[-(relation(124 ^ []))],extension(2)).
% 15.59/15.95 cnf('1.1.2.3',plain,[-(function(125 ^ []))],extension(4)).
% 15.59/15.95 cnf('1.1.2.4',plain,[-(relation(125 ^ []))],extension(3)).
% 15.59/15.95 cnf('1.1.2.5',plain,[-(relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []))],extension(6)).
% 15.59/15.95 cnf('1.1.2.6',plain,[-(reflexive(123 ^ [])), relation(123 ^ []), well_ordering(123 ^ [])],extension(8,bind([[_239569], [123 ^ []]]))).
% 15.59/15.95 cnf('1.1.2.6.1',plain,[-(relation(123 ^ []))],extension(1)).
% 15.59/15.95 cnf('1.1.2.6.2',plain,[-(well_ordering(123 ^ []))],extension(5)).
% 15.59/15.95 cnf('1.1.3',plain,[-(transitive(124 ^ [])), relation(123 ^ []), relation(124 ^ []), function(125 ^ []), relation(125 ^ []), relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []), transitive(123 ^ [])],extension(15,bind([[_337986, _338133, _337833], [124 ^ [], 125 ^ [], 123 ^ []]]))).
% 15.59/15.95 cnf('1.1.3.1',plain,[-(relation(123 ^ []))],extension(1)).
% 15.59/15.95 cnf('1.1.3.2',plain,[-(relation(124 ^ []))],extension(2)).
% 15.59/15.95 cnf('1.1.3.3',plain,[-(function(125 ^ []))],extension(4)).
% 15.59/15.95 cnf('1.1.3.4',plain,[-(relation(125 ^ []))],extension(3)).
% 15.59/15.95 cnf('1.1.3.5',plain,[-(relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []))],extension(6)).
% 15.59/15.95 cnf('1.1.3.6',plain,[-(transitive(123 ^ [])), relation(123 ^ []), well_ordering(123 ^ [])],extension(9,bind([[_239569], [123 ^ []]]))).
% 15.59/15.95 cnf('1.1.3.6.1',plain,[-(relation(123 ^ []))],extension(1)).
% 15.59/15.95 cnf('1.1.3.6.2',plain,[-(well_ordering(123 ^ []))],extension(5)).
% 15.59/15.95 cnf('1.1.4',plain,[-(antisymmetric(124 ^ [])), relation(123 ^ []), relation(124 ^ []), function(125 ^ []), relation(125 ^ []), relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []), antisymmetric(123 ^ [])],extension(17,bind([[_337986, _338133, _337833], [124 ^ [], 125 ^ [], 123 ^ []]]))).
% 15.59/15.95 cnf('1.1.4.1',plain,[-(relation(123 ^ []))],extension(1)).
% 15.59/15.95 cnf('1.1.4.2',plain,[-(relation(124 ^ []))],extension(2)).
% 15.59/15.95 cnf('1.1.4.3',plain,[-(function(125 ^ []))],extension(4)).
% 15.59/15.95 cnf('1.1.4.4',plain,[-(relation(125 ^ []))],extension(3)).
% 15.59/15.95 cnf('1.1.4.5',plain,[-(relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []))],extension(6)).
% 15.59/15.95 cnf('1.1.4.6',plain,[-(antisymmetric(123 ^ [])), relation(123 ^ []), well_ordering(123 ^ [])],extension(10,bind([[_239569], [123 ^ []]]))).
% 15.59/15.95 cnf('1.1.4.6.1',plain,[-(relation(123 ^ []))],extension(1)).
% 15.59/15.95 cnf('1.1.4.6.2',plain,[-(well_ordering(123 ^ []))],extension(5)).
% 15.59/15.95 cnf('1.1.5',plain,[-(connected(124 ^ [])), relation(123 ^ []), relation(124 ^ []), function(125 ^ []), relation(125 ^ []), relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []), connected(123 ^ [])],extension(16,bind([[_337986, _338133, _337833], [124 ^ [], 125 ^ [], 123 ^ []]]))).
% 15.59/15.95 cnf('1.1.5.1',plain,[-(relation(123 ^ []))],extension(1)).
% 15.59/15.95 cnf('1.1.5.2',plain,[-(relation(124 ^ []))],extension(2)).
% 15.59/15.95 cnf('1.1.5.3',plain,[-(function(125 ^ []))],extension(4)).
% 15.59/15.95 cnf('1.1.5.4',plain,[-(relation(125 ^ []))],extension(3)).
% 15.59/15.95 cnf('1.1.5.5',plain,[-(relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []))],extension(6)).
% 15.59/15.95 cnf('1.1.5.6',plain,[-(connected(123 ^ [])), relation(123 ^ []), well_ordering(123 ^ [])],extension(11,bind([[_239569], [123 ^ []]]))).
% 15.59/15.95 cnf('1.1.5.6.1',plain,[-(relation(123 ^ []))],extension(1)).
% 15.59/15.95 cnf('1.1.5.6.2',plain,[-(well_ordering(123 ^ []))],extension(5)).
% 15.59/15.95 cnf('1.1.6',plain,[-(well_founded_relation(124 ^ [])), relation(123 ^ []), relation(124 ^ []), function(125 ^ []), relation(125 ^ []), relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []), well_founded_relation(123 ^ [])],extension(18,bind([[_337986, _338133, _337833], [124 ^ [], 125 ^ [], 123 ^ []]]))).
% 15.59/15.95 cnf('1.1.6.1',plain,[-(relation(123 ^ []))],extension(1)).
% 15.59/15.95 cnf('1.1.6.2',plain,[-(relation(124 ^ []))],extension(2)).
% 15.59/15.95 cnf('1.1.6.3',plain,[-(function(125 ^ []))],extension(4)).
% 15.59/15.95 cnf('1.1.6.4',plain,[-(relation(125 ^ []))],extension(3)).
% 15.59/15.95 cnf('1.1.6.5',plain,[-(relation_isomorphism(123 ^ [], 124 ^ [], 125 ^ []))],extension(6)).
% 15.59/15.95 cnf('1.1.6.6',plain,[-(well_founded_relation(123 ^ [])), relation(123 ^ []), well_ordering(123 ^ [])],extension(12,bind([[_239569], [123 ^ []]]))).
% 15.59/15.95 cnf('1.1.6.6.1',plain,[-(relation(123 ^ []))],extension(1)).
% 15.59/15.95 cnf('1.1.6.6.2',plain,[-(well_ordering(123 ^ []))],extension(5)).
% 15.59/15.95 %-----------------------------------------------------
% 15.59/15.95
% 15.59/15.96 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------