%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU261+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:56:24 PM UTC 2026
% Result : Theorem 1.22s 1.28s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 95 ( 23 unt; 0 def)
% Number of atoms : 421 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 589 ( 263 ~; 253 |; 53 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 104 ( 0 sgn 98 !; 6 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( relation(X0)
=> ( well_ordering(X0)
<=> ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
fof(f3,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_isomorphism(X0,X1,X2)
=> ( ( well_founded_relation(X0)
=> well_founded_relation(X1) )
& ( antisymmetric(X0)
=> antisymmetric(X1) )
& ( connected(X0)
=> connected(X1) )
& ( transitive(X0)
=> transitive(X1) )
& ( reflexive(X0)
=> reflexive(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_wellord1) ).
fof(f4,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( relation_isomorphism(X0,X1,X2)
& well_ordering(X0) )
=> well_ordering(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_wellord1) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( relation_isomorphism(X0,X1,X2)
& well_ordering(X0) )
=> well_ordering(X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X0] :
( ~ relation(X0)
| ( well_ordering(X0)
<=> ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ~ relation_isomorphism(X0,X1,X2)
| ( ( ~ well_founded_relation(X0)
| well_founded_relation(X1) )
& ( ~ antisymmetric(X0)
| antisymmetric(X1) )
& ( ~ connected(X0)
| connected(X1) )
& ( ~ transitive(X0)
| transitive(X1) )
& ( ~ reflexive(X0)
| reflexive(X1) ) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f8,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ~ relation_isomorphism(X0,X1,X2)
| ( ( ~ well_founded_relation(X0)
| well_founded_relation(X1) )
& ( ~ antisymmetric(X0)
| antisymmetric(X1) )
& ( ~ connected(X0)
| connected(X1) )
& ( ~ transitive(X0)
| transitive(X1) )
& ( ~ reflexive(X0)
| reflexive(X1) ) ) ) ) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& ? [X2] :
( function(X2)
& relation(X2)
& relation_isomorphism(X0,X1,X2)
& well_ordering(X0)
& ~ well_ordering(X1) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f10,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& ? [X2] :
( function(X2)
& relation(X2)
& relation_isomorphism(X0,X1,X2)
& well_ordering(X0)
& ~ well_ordering(X1) ) ) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0] :
( ~ relation(X0)
| ( ( ~ well_ordering(X0)
| ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) ) )
& ( ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0)
| well_ordering(X0) ) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f12,plain,
! [X0] :
( ~ relation(X0)
| ( ( ~ well_ordering(X0)
| ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) ) )
& ( ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0)
| well_ordering(X0) ) ) ),
inference(flattening,[],[f11]) ).
fof(f14,plain,
( relation(sK1)
& relation(sK2)
& function(sK3)
& relation(sK3)
& relation_isomorphism(sK1,sK2,sK3)
& well_ordering(sK1)
& ~ well_ordering(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f10]) ).
fof(f15,plain,
! [X0] :
( ~ relation(X0)
| ~ well_ordering(X0)
| well_founded_relation(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f16,plain,
! [X0] :
( ~ relation(X0)
| ~ well_ordering(X0)
| connected(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f17,plain,
! [X0] :
( ~ relation(X0)
| ~ well_ordering(X0)
| antisymmetric(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f18,plain,
! [X0] :
( ~ relation(X0)
| ~ well_ordering(X0)
| transitive(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
! [X0] :
( ~ relation(X0)
| ~ well_ordering(X0)
| reflexive(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
! [X0] :
( ~ relation(X0)
| ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0)
| well_ordering(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ relation_isomorphism(X0,X1,X2)
| ~ well_founded_relation(X0)
| well_founded_relation(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ relation_isomorphism(X0,X1,X2)
| ~ antisymmetric(X0)
| antisymmetric(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ relation_isomorphism(X0,X1,X2)
| ~ connected(X0)
| connected(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ relation_isomorphism(X0,X1,X2)
| ~ transitive(X0)
| transitive(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ relation_isomorphism(X0,X1,X2)
| ~ reflexive(X0)
| reflexive(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f28,plain,
relation(sK1),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
relation(sK2),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
function(sK3),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
relation(sK3),
inference(cnf_transformation,[],[f14]) ).
fof(f32,plain,
relation_isomorphism(sK1,sK2,sK3),
inference(cnf_transformation,[],[f14]) ).
fof(f33,plain,
well_ordering(sK1),
inference(cnf_transformation,[],[f14]) ).
fof(f34,plain,
~ well_ordering(sK2),
inference(cnf_transformation,[],[f14]) ).
tcf(c_49,plain,
! [X0: $i] :
( well_ordering(X0)
| ~ relation(X0)
| ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_50,plain,
! [X0: $i] :
( reflexive(X0)
| ~ relation(X0)
| ~ well_ordering(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_51,plain,
! [X0: $i] :
( transitive(X0)
| ~ relation(X0)
| ~ well_ordering(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_52,plain,
! [X0: $i] :
( antisymmetric(X0)
| ~ relation(X0)
| ~ well_ordering(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_53,plain,
! [X0: $i] :
( connected(X0)
| ~ relation(X0)
| ~ well_ordering(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_54,plain,
! [X0: $i] :
( well_founded_relation(X0)
| ~ relation(X0)
| ~ well_ordering(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( reflexive(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0)
| ~ reflexive(X0)
| ~ relation_isomorphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( transitive(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0)
| ~ transitive(X0)
| ~ relation_isomorphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( connected(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0)
| ~ connected(X0)
| ~ relation_isomorphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( antisymmetric(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0)
| ~ antisymmetric(X0)
| ~ relation_isomorphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( well_founded_relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0)
| ~ well_founded_relation(X0)
| ~ relation_isomorphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_62,negated_conjecture,
~ well_ordering(sK2),
inference(cnf_transformation,[],[f34]) ).
tcf(c_63,negated_conjecture,
well_ordering(sK1),
inference(cnf_transformation,[],[f33]) ).
tcf(c_64,negated_conjecture,
relation_isomorphism(sK1,sK2,sK3),
inference(cnf_transformation,[],[f32]) ).
tcf(c_65,negated_conjecture,
relation(sK3),
inference(cnf_transformation,[],[f31]) ).
tcf(c_66,negated_conjecture,
function(sK3),
inference(cnf_transformation,[],[f30]) ).
tcf(c_67,negated_conjecture,
relation(sK2),
inference(cnf_transformation,[],[f29]) ).
tcf(c_68,negated_conjecture,
relation(sK1),
inference(cnf_transformation,[],[f28]) ).
tcf(c_69,plain,
( well_founded_relation(sK1)
| ~ relation(sK1)
| ~ well_ordering(sK1) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_70,plain,
( connected(sK1)
| ~ relation(sK1)
| ~ well_ordering(sK1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_71,plain,
( antisymmetric(sK1)
| ~ relation(sK1)
| ~ well_ordering(sK1) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_72,plain,
( transitive(sK1)
| ~ relation(sK1)
| ~ well_ordering(sK1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_73,plain,
( reflexive(sK1)
| ~ relation(sK1)
| ~ well_ordering(sK1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_75,negated_conjecture,
relation(sK2),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_77,negated_conjecture,
relation(sK3),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_79,negated_conjecture,
well_ordering(sK1),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_81,plain,
( reflexive(sK1)
| ~ relation(sK1) ),
inference(resolution,[status(thm)],[c_50,c_79]) ).
tcf(c_82,plain,
( transitive(sK1)
| ~ relation(sK1) ),
inference(resolution,[status(thm)],[c_51,c_79]) ).
tcf(c_83,plain,
( antisymmetric(sK1)
| ~ relation(sK1) ),
inference(resolution,[status(thm)],[c_52,c_79]) ).
tcf(c_84,plain,
( connected(sK1)
| ~ relation(sK1) ),
inference(resolution,[status(thm)],[c_53,c_79]) ).
tcf(c_86,plain,
reflexive(sK1),
inference(global_subsumption_just,[status(thm)],[c_81,c_68,c_63,c_73]) ).
tcf(c_89,plain,
transitive(sK1),
inference(global_subsumption_just,[status(thm)],[c_82,c_68,c_63,c_72]) ).
tcf(c_91,plain,
antisymmetric(sK1),
inference(global_subsumption_just,[status(thm)],[c_83,c_68,c_63,c_71]) ).
tcf(c_93,plain,
connected(sK1),
inference(global_subsumption_just,[status(thm)],[c_84,c_68,c_63,c_70]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( reflexive(X0)
| ~ relation(sK1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,X0,X1) ),
inference(resolution,[status(thm)],[c_57,c_86]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( transitive(X0)
| ~ relation(sK1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,X0,X1) ),
inference(resolution,[status(thm)],[c_58,c_89]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( connected(X0)
| ~ relation(sK1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,X0,X1) ),
inference(resolution,[status(thm)],[c_59,c_93]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( antisymmetric(X0)
| ~ relation(sK1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,X0,X1) ),
inference(resolution,[status(thm)],[c_60,c_91]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( reflexive(X0)
| ~ relation_isomorphism(sK1,X0,X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(global_subsumption_just,[status(thm)],[c_97,c_68,c_97]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( reflexive(X0)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,X0,X1) ),
inference(renaming,[status(thm)],[c_102]) ).
tcf(c_108,plain,
! [X0: $i] :
( reflexive(sK2)
| ~ function(X0)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,sK2,X0) ),
inference(resolution,[status(thm)],[c_103,c_75]) ).
tcf(c_118,plain,
( reflexive(sK2)
| ~ function(sK3)
| ~ relation_isomorphism(sK1,sK2,sK3) ),
inference(resolution,[status(thm)],[c_108,c_77]) ).
tcf(c_121,plain,
reflexive(sK2),
inference(global_subsumption_just,[status(thm)],[c_118,c_66,c_64,c_118]) ).
tcf(c_124,plain,
( well_ordering(sK2)
| ~ relation(sK2)
| ~ well_founded_relation(sK2)
| ~ connected(sK2)
| ~ antisymmetric(sK2)
| ~ transitive(sK2) ),
inference(resolution,[status(thm)],[c_121,c_49]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( transitive(X0)
| ~ relation_isomorphism(sK1,X0,X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(global_subsumption_just,[status(thm)],[c_98,c_68,c_98]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( transitive(X0)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,X0,X1) ),
inference(renaming,[status(thm)],[c_125]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( connected(X0)
| ~ relation_isomorphism(sK1,X0,X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(global_subsumption_just,[status(thm)],[c_99,c_68,c_99]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( connected(X0)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,X0,X1) ),
inference(renaming,[status(thm)],[c_127]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( antisymmetric(X0)
| ~ relation_isomorphism(sK1,X0,X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(global_subsumption_just,[status(thm)],[c_100,c_68,c_100]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( antisymmetric(X0)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,X0,X1) ),
inference(renaming,[status(thm)],[c_129]) ).
tcf(c_137,plain,
! [X0: $i] :
( transitive(sK2)
| ~ function(X0)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,sK2,X0) ),
inference(resolution,[status(thm)],[c_126,c_75]) ).
tcf(c_151,plain,
( transitive(sK2)
| ~ function(sK3)
| ~ relation_isomorphism(sK1,sK2,sK3) ),
inference(resolution,[status(thm)],[c_137,c_77]) ).
tcf(c_158,plain,
! [X0: $i] :
( connected(sK2)
| ~ function(X0)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,sK2,X0) ),
inference(resolution,[status(thm)],[c_128,c_75]) ).
tcf(c_165,plain,
! [X0: $i] :
( antisymmetric(sK2)
| ~ function(X0)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,sK2,X0) ),
inference(resolution,[status(thm)],[c_130,c_75]) ).
tcf(c_183,plain,
( well_ordering(sK2)
| ~ relation(sK2)
| ~ well_founded_relation(sK2)
| ~ connected(sK2)
| ~ antisymmetric(sK2)
| ~ transitive(sK2)
| ~ reflexive(sK2) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_184,plain,
( ~ well_founded_relation(sK2)
| ~ connected(sK2)
| ~ antisymmetric(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_183,c_67,c_66,c_62,c_64,c_124,c_151]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] :
( well_founded_relation(sK2)
| ~ relation(sK2)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ well_founded_relation(X0)
| ~ relation_isomorphism(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_202,plain,
! [X0: $i,X1: $i] :
( well_founded_relation(sK2)
| ~ relation_isomorphism(X0,sK2,X1)
| ~ well_founded_relation(X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(global_subsumption_just,[status(thm)],[c_200,c_67,c_200]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i] :
( well_founded_relation(sK2)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ well_founded_relation(X0)
| ~ relation_isomorphism(X0,sK2,X1) ),
inference(renaming,[status(thm)],[c_202]) ).
tcf(c_214,plain,
! [X0: $i] :
( well_founded_relation(sK2)
| ~ function(sK3)
| ~ relation(sK3)
| ~ relation(X0)
| ~ well_founded_relation(X0)
| ~ relation_isomorphism(X0,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_203]) ).
tcf(c_215,plain,
( well_founded_relation(sK2)
| ~ function(sK3)
| ~ relation(sK3)
| ~ relation(sK1)
| ~ well_founded_relation(sK1)
| ~ relation_isomorphism(sK1,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_214]) ).
tcf(c_218,plain,
! [X0: $i] :
( ~ relation_isomorphism(sK1,sK2,X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(global_subsumption_just,[status(thm)],[c_158,c_68,c_66,c_65,c_63,c_64,c_69,c_158,c_165,c_184,c_215]) ).
tcf(c_219,plain,
! [X0: $i] :
( ~ function(X0)
| ~ relation(X0)
| ~ relation_isomorphism(sK1,sK2,X0) ),
inference(renaming,[status(thm)],[c_218]) ).
tcf(c_273,plain,
( ~ function(sK3)
| ~ relation_isomorphism(sK1,sK2,sK3) ),
inference(resolution,[status(thm)],[c_219,c_77]) ).
tcf(c_274,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_273,c_64,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU261+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 13:24:23 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.22/1.28 % SZS status Started for theBenchmark.p
% 1.22/1.28 % SZS status Theorem for theBenchmark.p
% 1.22/1.28
% 1.22/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.22/1.28
% 1.22/1.28 % ------ iProver source info
% 1.22/1.28
% 1.22/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.22/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.22/1.28 % git: non_committed_changes: false
% 1.22/1.28
% 1.22/1.28 % ------ Parsing...
% 1.22/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.22/1.28 %
% 1.22/1.28
% 1.22/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.22/1.28
% 1.22/1.28 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.22/1.28 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.22/1.28 % ------ Proving...
% 1.22/1.28 % ------ Problem Properties
% 1.22/1.28
% 1.22/1.28 %
% 1.22/1.28 % clauses 20
% 1.22/1.28 % conjectures 7
% 1.22/1.28 % EPR 20
% 1.22/1.28 % Horn 20
% 1.22/1.28 % unary 9
% 1.22/1.28 % binary 0
% 1.22/1.28 % lits 66
% 1.22/1.28 % lits eq 0
% 1.22/1.28 % fd_pure 0
% 1.22/1.28 % fd_pseudo 0
% 1.22/1.28 % fd_cond 0
% 1.22/1.28 % fd_pseudo_cond 0
% 1.22/1.28 % AC symbols 0
% 1.22/1.28
% 1.22/1.28 % ------ Schedule EPR Horn non eq is on
% 1.22/1.28
% 1.22/1.28 % ------ no equalities: superposition off
% 1.22/1.28
% 1.22/1.28 % ------ Option_epr_horn Time Limit: Unbounded
% 1.22/1.28
% 1.22/1.28
% 1.22/1.28 % ------
% 1.22/1.28 % Current options:
% 1.22/1.28 % ------
% 1.22/1.28
% 1.22/1.28
% 1.22/1.28 %
% 1.22/1.28
% 1.22/1.28 % ------ Proving...
% 1.22/1.28 %
% 1.22/1.28
% 1.22/1.28 % SZS status Theorem for theBenchmark.p
% 1.22/1.28
% 1.22/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.22/1.28
% 1.22/1.28
%------------------------------------------------------------------------------