TSTP Solution File: SEU261+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU261+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 0.33s 1.39s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU261+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n014.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 16:12:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.41
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.41 fof(t54_wellord1, conjecture, ! [_19755] : (relation(_19755) => ! [_19770] : (relation(_19770) => ! [_19785] : (relation(_19785) & function(_19785) => well_ordering(_19755) & relation_isomorphism(_19755, _19770, _19785) => well_ordering(_19770)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t54_wellord1)).
% 0.33/1.41 fof(d4_wellord1, axiom, ! [_20121] : (relation(_20121) => (well_ordering(_20121) <=> reflexive(_20121) & transitive(_20121) & antisymmetric(_20121) & connected(_20121) & well_founded_relation(_20121))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_wellord1)).
% 0.33/1.41 fof(t53_wellord1, axiom, ! [_20409] : (relation(_20409) => ! [_20424] : (relation(_20424) => ! [_20439] : (relation(_20439) & function(_20439) => relation_isomorphism(_20409, _20424, _20439) => (reflexive(_20409) => reflexive(_20424)) & (transitive(_20409) => transitive(_20424)) & (connected(_20409) => connected(_20424)) & (antisymmetric(_20409) => antisymmetric(_20424)) & (well_founded_relation(_20409) => well_founded_relation(_20424))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t53_wellord1)).
% 0.33/1.41
% 0.33/1.41 cnf(1, plain, [-(relation(2 ^ []))], clausify(t54_wellord1)).
% 0.33/1.41 cnf(2, plain, [-(relation(3 ^ []))], clausify(t54_wellord1)).
% 0.33/1.41 cnf(3, plain, [-(relation(4 ^ []))], clausify(t54_wellord1)).
% 0.33/1.41 cnf(4, plain, [-(function(4 ^ []))], clausify(t54_wellord1)).
% 0.33/1.41 cnf(5, plain, [-(well_ordering(2 ^ []))], clausify(t54_wellord1)).
% 0.33/1.41 cnf(6, plain, [-(relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []))], clausify(t54_wellord1)).
% 0.33/1.41 cnf(7, plain, [well_ordering(3 ^ [])], clausify(t54_wellord1)).
% 0.33/1.41 cnf(8, plain, [relation(_4106), well_ordering(_4106), -(reflexive(_4106))], clausify(d4_wellord1)).
% 0.33/1.41 cnf(9, plain, [relation(_4106), well_ordering(_4106), -(transitive(_4106))], clausify(d4_wellord1)).
% 0.33/1.41 cnf(10, plain, [relation(_4106), well_ordering(_4106), -(antisymmetric(_4106))], clausify(d4_wellord1)).
% 0.33/1.41 cnf(11, plain, [relation(_4106), well_ordering(_4106), -(connected(_4106))], clausify(d4_wellord1)).
% 0.33/1.41 cnf(12, plain, [relation(_4106), well_ordering(_4106), -(well_founded_relation(_4106))], clausify(d4_wellord1)).
% 0.33/1.41 cnf(13, plain, [relation(_4106), -(well_ordering(_4106)), reflexive(_4106), transitive(_4106), antisymmetric(_4106), connected(_4106), well_founded_relation(_4106)], clausify(d4_wellord1)).
% 0.33/1.41 cnf(14, plain, [relation(_4807), relation(_4960), function(_5107), relation(_5107), relation_isomorphism(_4807, _4960, _5107), reflexive(_4807), -(reflexive(_4960))], clausify(t53_wellord1)).
% 0.33/1.41 cnf(15, plain, [relation(_4807), relation(_4960), function(_5107), relation(_5107), relation_isomorphism(_4807, _4960, _5107), transitive(_4807), -(transitive(_4960))], clausify(t53_wellord1)).
% 0.33/1.41 cnf(16, plain, [relation(_4807), relation(_4960), function(_5107), relation(_5107), relation_isomorphism(_4807, _4960, _5107), connected(_4807), -(connected(_4960))], clausify(t53_wellord1)).
% 0.33/1.41 cnf(17, plain, [relation(_4807), relation(_4960), function(_5107), relation(_5107), relation_isomorphism(_4807, _4960, _5107), antisymmetric(_4807), -(antisymmetric(_4960))], clausify(t53_wellord1)).
% 0.33/1.41 cnf(18, plain, [relation(_4807), relation(_4960), function(_5107), relation(_5107), relation_isomorphism(_4807, _4960, _5107), well_founded_relation(_4807), -(well_founded_relation(_4960))], clausify(t53_wellord1)).
% 0.33/1.41
% 0.33/1.41 cnf('1',plain,[well_ordering(3 ^ [])],start(7)).
% 0.33/1.41 cnf('1.1',plain,[-(well_ordering(3 ^ [])), relation(3 ^ []), reflexive(3 ^ []), transitive(3 ^ []), antisymmetric(3 ^ []), connected(3 ^ []), well_founded_relation(3 ^ [])],extension(13,bind([[_4106], [3 ^ []]]))).
% 0.33/1.41 cnf('1.1.1',plain,[-(relation(3 ^ []))],extension(2)).
% 0.33/1.41 cnf('1.1.2',plain,[-(reflexive(3 ^ [])), relation(2 ^ []), relation(3 ^ []), function(4 ^ []), relation(4 ^ []), relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []), reflexive(2 ^ [])],extension(14,bind([[_4960, _5107, _4807], [3 ^ [], 4 ^ [], 2 ^ []]]))).
% 0.33/1.41 cnf('1.1.2.1',plain,[-(relation(2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.2.2',plain,[-(relation(3 ^ []))],extension(2)).
% 0.33/1.41 cnf('1.1.2.3',plain,[-(function(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.1.2.4',plain,[-(relation(4 ^ []))],extension(3)).
% 0.33/1.41 cnf('1.1.2.5',plain,[-(relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []))],extension(6)).
% 0.33/1.41 cnf('1.1.2.6',plain,[-(reflexive(2 ^ [])), relation(2 ^ []), well_ordering(2 ^ [])],extension(8,bind([[_4106], [2 ^ []]]))).
% 0.33/1.41 cnf('1.1.2.6.1',plain,[-(relation(2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.2.6.2',plain,[-(well_ordering(2 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.1.3',plain,[-(transitive(3 ^ [])), relation(2 ^ []), relation(3 ^ []), function(4 ^ []), relation(4 ^ []), relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []), transitive(2 ^ [])],extension(15,bind([[_4960, _5107, _4807], [3 ^ [], 4 ^ [], 2 ^ []]]))).
% 0.33/1.41 cnf('1.1.3.1',plain,[-(relation(2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.3.2',plain,[-(relation(3 ^ []))],extension(2)).
% 0.33/1.41 cnf('1.1.3.3',plain,[-(function(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.1.3.4',plain,[-(relation(4 ^ []))],extension(3)).
% 0.33/1.41 cnf('1.1.3.5',plain,[-(relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []))],extension(6)).
% 0.33/1.41 cnf('1.1.3.6',plain,[-(transitive(2 ^ [])), relation(2 ^ []), well_ordering(2 ^ [])],extension(9,bind([[_4106], [2 ^ []]]))).
% 0.33/1.41 cnf('1.1.3.6.1',plain,[-(relation(2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.3.6.2',plain,[-(well_ordering(2 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.1.4',plain,[-(antisymmetric(3 ^ [])), relation(2 ^ []), relation(3 ^ []), function(4 ^ []), relation(4 ^ []), relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []), antisymmetric(2 ^ [])],extension(17,bind([[_4960, _5107, _4807], [3 ^ [], 4 ^ [], 2 ^ []]]))).
% 0.33/1.41 cnf('1.1.4.1',plain,[-(relation(2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.4.2',plain,[-(relation(3 ^ []))],extension(2)).
% 0.33/1.41 cnf('1.1.4.3',plain,[-(function(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.1.4.4',plain,[-(relation(4 ^ []))],extension(3)).
% 0.33/1.41 cnf('1.1.4.5',plain,[-(relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []))],extension(6)).
% 0.33/1.41 cnf('1.1.4.6',plain,[-(antisymmetric(2 ^ [])), relation(2 ^ []), well_ordering(2 ^ [])],extension(10,bind([[_4106], [2 ^ []]]))).
% 0.33/1.41 cnf('1.1.4.6.1',plain,[-(relation(2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.4.6.2',plain,[-(well_ordering(2 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.1.5',plain,[-(connected(3 ^ [])), relation(2 ^ []), relation(3 ^ []), function(4 ^ []), relation(4 ^ []), relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []), connected(2 ^ [])],extension(16,bind([[_4960, _5107, _4807], [3 ^ [], 4 ^ [], 2 ^ []]]))).
% 0.33/1.41 cnf('1.1.5.1',plain,[-(relation(2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.5.2',plain,[-(relation(3 ^ []))],extension(2)).
% 0.33/1.41 cnf('1.1.5.3',plain,[-(function(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.1.5.4',plain,[-(relation(4 ^ []))],extension(3)).
% 0.33/1.41 cnf('1.1.5.5',plain,[-(relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []))],extension(6)).
% 0.33/1.41 cnf('1.1.5.6',plain,[-(connected(2 ^ [])), relation(2 ^ []), well_ordering(2 ^ [])],extension(11,bind([[_4106], [2 ^ []]]))).
% 0.33/1.41 cnf('1.1.5.6.1',plain,[-(relation(2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.5.6.2',plain,[-(well_ordering(2 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.1.6',plain,[-(well_founded_relation(3 ^ [])), relation(2 ^ []), relation(3 ^ []), function(4 ^ []), relation(4 ^ []), relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []), well_founded_relation(2 ^ [])],extension(18,bind([[_4960, _5107, _4807], [3 ^ [], 4 ^ [], 2 ^ []]]))).
% 0.33/1.41 cnf('1.1.6.1',plain,[-(relation(2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.6.2',plain,[-(relation(3 ^ []))],extension(2)).
% 0.33/1.41 cnf('1.1.6.3',plain,[-(function(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.1.6.4',plain,[-(relation(4 ^ []))],extension(3)).
% 0.33/1.41 cnf('1.1.6.5',plain,[-(relation_isomorphism(2 ^ [], 3 ^ [], 4 ^ []))],extension(6)).
% 0.33/1.41 cnf('1.1.6.6',plain,[-(well_founded_relation(2 ^ [])), relation(2 ^ []), well_ordering(2 ^ [])],extension(12,bind([[_4106], [2 ^ []]]))).
% 0.33/1.41 cnf('1.1.6.6.1',plain,[-(relation(2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.6.6.2',plain,[-(well_ordering(2 ^ []))],extension(5)).
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.41
% 0.33/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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