%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU244+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n006.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 12:01:23 EDT 2022

% Result   : Theorem 72.07s 69.99s
% Output   : Proof 72.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU244+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : leancop_casc.sh %s %d
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jun 20 01:49:10 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 72.07/69.99  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.07/69.99  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.07/70.00  
% 72.07/70.00  %-----------------------------------------------------
% 72.07/70.00  fof(t8_wellord1, conjecture, ! [_479869] : (relation(_479869) => (well_orders(_479869, relation_field(_479869)) <=> well_ordering(_479869))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_wellord1)).
% 72.07/70.00  fof(d12_relat_2, axiom, ! [_480155] : (relation(_480155) => (antisymmetric(_480155) <=> is_antisymmetric_in(_480155, relation_field(_480155)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d12_relat_2)).
% 72.07/70.00  fof(d14_relat_2, axiom, ! [_480343] : (relation(_480343) => (connected(_480343) <=> is_connected_in(_480343, relation_field(_480343)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d14_relat_2)).
% 72.07/70.00  fof(d16_relat_2, axiom, ! [_480513] : (relation(_480513) => (transitive(_480513) <=> is_transitive_in(_480513, relation_field(_480513)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d16_relat_2)).
% 72.07/70.00  fof(d4_wellord1, axiom, ! [_480799] : (relation(_480799) => (well_ordering(_480799) <=> reflexive(_480799) & transitive(_480799) & antisymmetric(_480799) & connected(_480799) & well_founded_relation(_480799))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_wellord1)).
% 72.07/70.00  fof(d5_wellord1, axiom, ! [_481103] : (relation(_481103) => ! [_481118] : (well_orders(_481103, _481118) <=> is_reflexive_in(_481103, _481118) & is_transitive_in(_481103, _481118) & is_antisymmetric_in(_481103, _481118) & is_connected_in(_481103, _481118) & is_well_founded_in(_481103, _481118))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_wellord1)).
% 72.07/70.00  fof(d9_relat_2, axiom, ! [_481503] : (relation(_481503) => (reflexive(_481503) <=> is_reflexive_in(_481503, relation_field(_481503)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d9_relat_2)).
% 72.07/70.00  fof(t5_wellord1, lemma, ! [_481977] : (relation(_481977) => (well_founded_relation(_481977) <=> is_well_founded_in(_481977, relation_field(_481977)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_wellord1)).
% 72.07/70.00  
% 72.07/70.00  cnf(1, plain, [-(relation(120 ^ []))], clausify(t8_wellord1)).
% 72.07/70.00  cnf(2, plain, [well_orders(120 ^ [], relation_field(120 ^ [])), well_ordering(120 ^ [])], clausify(t8_wellord1)).
% 72.07/70.00  cnf(3, plain, [-(well_orders(120 ^ [], relation_field(120 ^ []))), -(well_ordering(120 ^ []))], clausify(t8_wellord1)).
% 72.07/70.00  cnf(4, plain, [relation(_198857), antisymmetric(_198857), -(is_antisymmetric_in(_198857, relation_field(_198857)))], clausify(d12_relat_2)).
% 72.07/70.00  cnf(5, plain, [relation(_198857), -(antisymmetric(_198857)), is_antisymmetric_in(_198857, relation_field(_198857))], clausify(d12_relat_2)).
% 72.07/70.00  cnf(6, plain, [relation(_201797), connected(_201797), -(is_connected_in(_201797, relation_field(_201797)))], clausify(d14_relat_2)).
% 72.07/70.00  cnf(7, plain, [relation(_201797), -(connected(_201797)), is_connected_in(_201797, relation_field(_201797))], clausify(d14_relat_2)).
% 72.07/70.00  cnf(8, plain, [relation(_202105), transitive(_202105), -(is_transitive_in(_202105, relation_field(_202105)))], clausify(d16_relat_2)).
% 72.07/70.00  cnf(9, plain, [relation(_202105), -(transitive(_202105)), is_transitive_in(_202105, relation_field(_202105))], clausify(d16_relat_2)).
% 72.07/70.00  cnf(10, plain, [relation(_219487), well_ordering(_219487), -(reflexive(_219487))], clausify(d4_wellord1)).
% 72.07/70.00  cnf(11, plain, [relation(_219487), well_ordering(_219487), -(transitive(_219487))], clausify(d4_wellord1)).
% 72.07/70.00  cnf(12, plain, [relation(_219487), well_ordering(_219487), -(antisymmetric(_219487))], clausify(d4_wellord1)).
% 72.07/70.00  cnf(13, plain, [relation(_219487), well_ordering(_219487), -(connected(_219487))], clausify(d4_wellord1)).
% 72.07/70.00  cnf(14, plain, [relation(_219487), well_ordering(_219487), -(well_founded_relation(_219487))], clausify(d4_wellord1)).
% 72.07/70.00  cnf(15, plain, [relation(_219487), -(well_ordering(_219487)), reflexive(_219487), transitive(_219487), antisymmetric(_219487), connected(_219487), well_founded_relation(_219487)], clausify(d4_wellord1)).
% 72.07/70.00  cnf(16, plain, [relation(_222979), well_orders(_222979, _223091), -(is_reflexive_in(_222979, _223091))], clausify(d5_wellord1)).
% 72.07/70.00  cnf(17, plain, [relation(_222979), well_orders(_222979, _223091), -(is_transitive_in(_222979, _223091))], clausify(d5_wellord1)).
% 72.07/70.00  cnf(18, plain, [relation(_222979), well_orders(_222979, _223091), -(is_antisymmetric_in(_222979, _223091))], clausify(d5_wellord1)).
% 72.07/70.00  cnf(19, plain, [relation(_222979), well_orders(_222979, _223091), -(is_connected_in(_222979, _223091))], clausify(d5_wellord1)).
% 72.07/70.00  cnf(20, plain, [relation(_222979), well_orders(_222979, _223091), -(is_well_founded_in(_222979, _223091))], clausify(d5_wellord1)).
% 72.07/70.00  cnf(21, plain, [relation(_222979), -(well_orders(_222979, _223091)), is_reflexive_in(_222979, _223091), is_transitive_in(_222979, _223091), is_antisymmetric_in(_222979, _223091), is_connected_in(_222979, _223091), is_well_founded_in(_222979, _223091)], clausify(d5_wellord1)).
% 72.07/70.00  cnf(22, plain, [relation(_231630), reflexive(_231630), -(is_reflexive_in(_231630, relation_field(_231630)))], clausify(d9_relat_2)).
% 72.07/70.00  cnf(23, plain, [relation(_231630), -(reflexive(_231630)), is_reflexive_in(_231630, relation_field(_231630))], clausify(d9_relat_2)).
% 72.07/70.00  cnf(24, plain, [relation(_312631), well_founded_relation(_312631), -(is_well_founded_in(_312631, relation_field(_312631)))], clausify(t5_wellord1)).
% 72.07/70.00  cnf(25, plain, [relation(_312631), -(well_founded_relation(_312631)), is_well_founded_in(_312631, relation_field(_312631))], clausify(t5_wellord1)).
% 72.07/70.00  
% 72.07/70.00  cnf('1',plain,[well_orders(120 ^ [], relation_field(120 ^ [])), well_ordering(120 ^ [])],start(2)).
% 72.07/70.00  cnf('1.1',plain,[-(well_orders(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), is_reflexive_in(120 ^ [], relation_field(120 ^ [])), is_transitive_in(120 ^ [], relation_field(120 ^ [])), is_antisymmetric_in(120 ^ [], relation_field(120 ^ [])), is_connected_in(120 ^ [], relation_field(120 ^ [])), is_well_founded_in(120 ^ [], relation_field(120 ^ []))],extension(21,bind([[_222979, _223091], [120 ^ [], relation_field(120 ^ [])]]))).
% 72.07/70.00  cnf('1.1.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.2',plain,[-(is_reflexive_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), reflexive(120 ^ [])],extension(22,bind([[_231630], [120 ^ []]]))).
% 72.07/70.00  cnf('1.1.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.2.2',plain,[-(reflexive(120 ^ [])), relation(120 ^ []), well_ordering(120 ^ [])],extension(10,bind([[_219487], [120 ^ []]]))).
% 72.07/70.00  cnf('1.1.2.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.2.2.2',plain,[-(well_ordering(120 ^ [])), -(well_orders(120 ^ [], relation_field(120 ^ [])))],extension(3)).
% 72.07/70.00  cnf('1.1.2.2.2.1',plain,[well_orders(120 ^ [], relation_field(120 ^ []))],reduction('1')).
% 72.07/70.00  cnf('1.1.3',plain,[-(is_transitive_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), transitive(120 ^ [])],extension(8,bind([[_202105], [120 ^ []]]))).
% 72.07/70.00  cnf('1.1.3.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.3.2',plain,[-(transitive(120 ^ [])), relation(120 ^ []), well_ordering(120 ^ [])],extension(11,bind([[_219487], [120 ^ []]]))).
% 72.07/70.00  cnf('1.1.3.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.3.2.2',plain,[-(well_ordering(120 ^ [])), -(well_orders(120 ^ [], relation_field(120 ^ [])))],extension(3)).
% 72.07/70.00  cnf('1.1.3.2.2.1',plain,[well_orders(120 ^ [], relation_field(120 ^ []))],reduction('1')).
% 72.07/70.00  cnf('1.1.4',plain,[-(is_antisymmetric_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), antisymmetric(120 ^ [])],extension(4,bind([[_198857], [120 ^ []]]))).
% 72.07/70.00  cnf('1.1.4.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.4.2',plain,[-(antisymmetric(120 ^ [])), relation(120 ^ []), well_ordering(120 ^ [])],extension(12,bind([[_219487], [120 ^ []]]))).
% 72.07/70.00  cnf('1.1.4.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.4.2.2',plain,[-(well_ordering(120 ^ [])), -(well_orders(120 ^ [], relation_field(120 ^ [])))],extension(3)).
% 72.07/70.00  cnf('1.1.4.2.2.1',plain,[well_orders(120 ^ [], relation_field(120 ^ []))],reduction('1')).
% 72.07/70.00  cnf('1.1.5',plain,[-(is_connected_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), connected(120 ^ [])],extension(6,bind([[_201797], [120 ^ []]]))).
% 72.07/70.00  cnf('1.1.5.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.5.2',plain,[-(connected(120 ^ [])), relation(120 ^ []), well_ordering(120 ^ [])],extension(13,bind([[_219487], [120 ^ []]]))).
% 72.07/70.00  cnf('1.1.5.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.5.2.2',plain,[-(well_ordering(120 ^ [])), -(well_orders(120 ^ [], relation_field(120 ^ [])))],extension(3)).
% 72.07/70.00  cnf('1.1.5.2.2.1',plain,[well_orders(120 ^ [], relation_field(120 ^ []))],reduction('1')).
% 72.07/70.00  cnf('1.1.6',plain,[-(is_well_founded_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), well_founded_relation(120 ^ [])],extension(24,bind([[_312631], [120 ^ []]]))).
% 72.07/70.00  cnf('1.1.6.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.6.2',plain,[-(well_founded_relation(120 ^ [])), relation(120 ^ []), well_ordering(120 ^ [])],extension(14,bind([[_219487], [120 ^ []]]))).
% 72.07/70.00  cnf('1.1.6.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.1.6.2.2',plain,[-(well_ordering(120 ^ [])), -(well_orders(120 ^ [], relation_field(120 ^ [])))],extension(3)).
% 72.07/70.00  cnf('1.1.6.2.2.1',plain,[well_orders(120 ^ [], relation_field(120 ^ []))],reduction('1')).
% 72.07/70.00  cnf('1.2',plain,[-(well_ordering(120 ^ [])), relation(120 ^ []), reflexive(120 ^ []), transitive(120 ^ []), antisymmetric(120 ^ []), connected(120 ^ []), well_founded_relation(120 ^ [])],extension(15,bind([[_219487], [120 ^ []]]))).
% 72.07/70.00  cnf('1.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.2',plain,[-(reflexive(120 ^ [])), relation(120 ^ []), is_reflexive_in(120 ^ [], relation_field(120 ^ []))],extension(23,bind([[_231630], [120 ^ []]]))).
% 72.07/70.00  cnf('1.2.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.2.2',plain,[-(is_reflexive_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), well_orders(120 ^ [], relation_field(120 ^ []))],extension(16,bind([[_222979, _223091], [120 ^ [], relation_field(120 ^ [])]]))).
% 72.07/70.00  cnf('1.2.2.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.2.2.2',plain,[-(well_orders(120 ^ [], relation_field(120 ^ [])))],lemmata('1')).
% 72.07/70.00  cnf('1.2.3',plain,[-(transitive(120 ^ [])), relation(120 ^ []), is_transitive_in(120 ^ [], relation_field(120 ^ []))],extension(9,bind([[_202105], [120 ^ []]]))).
% 72.07/70.00  cnf('1.2.3.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.3.2',plain,[-(is_transitive_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), well_orders(120 ^ [], relation_field(120 ^ []))],extension(17,bind([[_222979, _223091], [120 ^ [], relation_field(120 ^ [])]]))).
% 72.07/70.00  cnf('1.2.3.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.3.2.2',plain,[-(well_orders(120 ^ [], relation_field(120 ^ [])))],lemmata('1')).
% 72.07/70.00  cnf('1.2.4',plain,[-(antisymmetric(120 ^ [])), relation(120 ^ []), is_antisymmetric_in(120 ^ [], relation_field(120 ^ []))],extension(5,bind([[_198857], [120 ^ []]]))).
% 72.07/70.00  cnf('1.2.4.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.4.2',plain,[-(is_antisymmetric_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), well_orders(120 ^ [], relation_field(120 ^ []))],extension(18,bind([[_222979, _223091], [120 ^ [], relation_field(120 ^ [])]]))).
% 72.07/70.00  cnf('1.2.4.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.4.2.2',plain,[-(well_orders(120 ^ [], relation_field(120 ^ [])))],lemmata('1')).
% 72.07/70.00  cnf('1.2.5',plain,[-(connected(120 ^ [])), relation(120 ^ []), is_connected_in(120 ^ [], relation_field(120 ^ []))],extension(7,bind([[_201797], [120 ^ []]]))).
% 72.07/70.00  cnf('1.2.5.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.5.2',plain,[-(is_connected_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), well_orders(120 ^ [], relation_field(120 ^ []))],extension(19,bind([[_222979, _223091], [120 ^ [], relation_field(120 ^ [])]]))).
% 72.07/70.00  cnf('1.2.5.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.5.2.2',plain,[-(well_orders(120 ^ [], relation_field(120 ^ [])))],lemmata('1')).
% 72.07/70.00  cnf('1.2.6',plain,[-(well_founded_relation(120 ^ [])), relation(120 ^ []), is_well_founded_in(120 ^ [], relation_field(120 ^ []))],extension(25,bind([[_312631], [120 ^ []]]))).
% 72.07/70.00  cnf('1.2.6.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.6.2',plain,[-(is_well_founded_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), well_orders(120 ^ [], relation_field(120 ^ []))],extension(20,bind([[_222979, _223091], [120 ^ [], relation_field(120 ^ [])]]))).
% 72.07/70.00  cnf('1.2.6.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 72.07/70.00  cnf('1.2.6.2.2',plain,[-(well_orders(120 ^ [], relation_field(120 ^ [])))],lemmata('1')).
% 72.07/70.00  %-----------------------------------------------------
% 72.07/70.01  
% 72.07/70.01  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------