%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEV521+1 : TPTP v9.3.1. Released v7.3.0.
% 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 03:02:20 PM UTC 2026
% Result : Theorem 3.98s 1.28s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 100 ( 12 unt; 1 def)
% Number of atoms : 381 ( 65 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 374 ( 140 ~; 157 |; 56 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn 130 !; 30 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f8,axiom,
! [X0,X1] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',singleton) ).
fof(f13,axiom,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2,X3] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X2] :
( member(X2,X1)
=> ? [X3] :
( member(X2,X3)
& member(X3,X0) ) )
& ! [X2] :
( member(X2,X0)
=> subset(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',partition) ).
fof(f20,conjecture,
! [X0] :
( X0 != empty_set
=> partition(singleton(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_partitions_itself) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( X0 != empty_set
=> partition(singleton(X0),X0) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X5,X6] :
( ( member(X6,X0)
& member(X5,X0) )
=> ( ? [X7] :
( member(X7,X6)
& member(X7,X5) )
=> X5 = X6 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X3,X4)
& member(X4,X0) ) )
& ! [X2] :
( member(X2,X0)
=> subset(X2,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f25,plain,
! [X0,X1] :
( ( ! [X5,X6] :
( ( member(X6,X0)
& member(X5,X0) )
=> ( ? [X7] :
( member(X7,X6)
& member(X7,X5) )
=> X5 = X6 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X3,X4)
& member(X4,X0) ) )
& ! [X2] :
( member(X2,X0)
=> subset(X2,X1) ) )
=> partition(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X5,X6] :
( member(X6,X0)
& member(X5,X0)
& ? [X7] :
( member(X7,X6)
& member(X7,X5) )
& X5 != X6 )
| ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ member(X3,X4)
| ~ member(X4,X0) ) )
| ? [X2] :
( member(X2,X0)
& ~ subset(X2,X1) )
| partition(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X5,X6] :
( member(X6,X0)
& member(X5,X0)
& ? [X7] :
( member(X7,X6)
& member(X7,X5) )
& X5 != X6 )
| ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ member(X3,X4)
| ~ member(X4,X0) ) )
| ? [X2] :
( member(X2,X0)
& ~ subset(X2,X1) )
| partition(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
? [X0] :
( X0 != empty_set
& ~ partition(singleton(X0),X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f33,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f34,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ( ~ member(X0,singleton(X1))
| X0 = X1 )
& ( X0 != X1
| member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0,X1] :
( sP0(X0)
| ( member(sK8(X0,X1),X1)
& ! [X4] :
( ~ member(sK8(X0,X1),X4)
| ~ member(X4,X0) ) )
| ( member(sK7(X0,X1),X0)
& ~ subset(sK7(X0,X1),X1) )
| partition(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X2,sK7(X0,X1)),skolemize(X3,sK8(X0,X1))],[f32]) ).
fof(f61,plain,
( empty_set != sK12
& ~ partition(singleton(sK12),sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f30]) ).
fof(f63,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f77,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f78,plain,
! [X0,X1] :
( X0 != X1
| member(X0,singleton(X1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f93,plain,
! [X0,X1] :
( sP0(X0)
| member(sK8(X0,X1),X1)
| member(sK7(X0,X1),X0)
| partition(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f94,plain,
! [X0,X1,X4] :
( sP0(X0)
| ~ member(sK8(X0,X1),X4)
| ~ member(X4,X0)
| member(sK7(X0,X1),X0)
| partition(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f95,plain,
! [X0,X1] :
( sP0(X0)
| member(sK8(X0,X1),X1)
| ~ subset(sK7(X0,X1),X1)
| partition(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f96,plain,
! [X0,X1,X4] :
( sP0(X0)
| ~ member(sK8(X0,X1),X4)
| ~ member(X4,X0)
| ~ subset(sK7(X0,X1),X1)
| partition(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f108,plain,
~ partition(singleton(sK12),sK12),
inference(cnf_transformation,[],[f61]) ).
fof(f109,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f78]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_64,plain,
! [X0: $i] : member(X0,singleton(X0)),
inference(cnf_transformation,[],[f109]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(X0,singleton(X1)) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0)
| partition(X0,X1)
| ~ member(X2,X0)
| ~ member(sK8(X0,X1),X2)
| ~ subset(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| partition(X0,X1)
| member(sK8(X0,X1),X1)
| ~ subset(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0)
| partition(X0,X1)
| member(sK7(X0,X1),X0)
| ~ member(X2,X0)
| ~ member(sK8(X0,X1),X2) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| partition(X0,X1)
| member(sK8(X0,X1),X1)
| member(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_93,negated_conjecture,
~ partition(singleton(sK12),sK12),
inference(cnf_transformation,[],[f108]) ).
tcf(c_95,plain,
member(sK12,singleton(sK12)),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_106,plain,
( ( sK12 = sK12 )
| ~ member(sK12,singleton(sK12)) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_736,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| member(sK8(X0,X1),X1)
| member(sK7(X0,X1),X0)
| ( X1 != sK12 )
| ( singleton(sK12) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_83,c_93]) ).
tcf(c_737,plain,
( sP0(singleton(sK12))
| member(sK8(singleton(sK12),sK12),sK12)
| member(sK7(singleton(sK12),sK12),singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_736]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0)
| member(sK7(X0,X1),X0)
| ~ member(X2,X0)
| ~ member(sK8(X0,X1),X2)
| ( X1 != sK12 )
| ( singleton(sK12) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_82,c_93]) ).
tcf(c_748,plain,
! [X0: $i] :
( sP0(singleton(sK12))
| member(sK7(singleton(sK12),sK12),singleton(sK12))
| ~ member(X0,singleton(sK12))
| ~ member(sK8(singleton(sK12),sK12),X0) ),
inference(unflattening,[status(thm)],[c_747]) ).
tcf(c_749,plain,
( sP0(singleton(sK12))
| member(sK7(singleton(sK12),sK12),singleton(sK12))
| ~ member(sK12,singleton(sK12))
| ~ member(sK8(singleton(sK12),sK12),sK12) ),
inference(instantiation,[status(thm)],[c_748]) ).
tcf(c_750,plain,
( sP0(singleton(sK12))
| member(sK7(singleton(sK12),sK12),singleton(sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_748,c_95,c_737,c_749]) ).
tcf(c_758,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| member(sK8(X0,X1),X1)
| ~ subset(sK7(X0,X1),X1)
| ( X1 != sK12 )
| ( singleton(sK12) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_81,c_93]) ).
tcf(c_759,plain,
( sP0(singleton(sK12))
| member(sK8(singleton(sK12),sK12),sK12)
| ~ subset(sK7(singleton(sK12),sK12),sK12) ),
inference(unflattening,[status(thm)],[c_758]) ).
tcf(c_769,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0)
| ~ member(X2,X0)
| ~ member(sK8(X0,X1),X2)
| ~ subset(sK7(X0,X1),X1)
| ( X1 != sK12 )
| ( singleton(sK12) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_80,c_93]) ).
tcf(c_770,plain,
! [X0: $i] :
( sP0(singleton(sK12))
| ~ member(X0,singleton(sK12))
| ~ subset(sK7(singleton(sK12),sK12),sK12)
| ~ member(sK8(singleton(sK12),sK12),X0) ),
inference(unflattening,[status(thm)],[c_769]) ).
tcf(c_771,plain,
( sP0(singleton(sK12))
| ~ member(sK12,singleton(sK12))
| ~ member(sK8(singleton(sK12),sK12),sK12)
| ~ subset(sK7(singleton(sK12),sK12),sK12) ),
inference(instantiation,[status(thm)],[c_770]) ).
tcf(c_772,plain,
( sP0(singleton(sK12))
| ~ subset(sK7(singleton(sK12),sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_770,c_95,c_759,c_771]) ).
tcf(c_1875,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X2)
| ~ subset(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2796,plain,
! [X0: $i] : subset(X0,X0),
inference(superposition,[status(thm)],[c_50,c_49]) ).
tcf(c_2800,plain,
subset(sK12,sK12),
inference(instantiation,[status(thm)],[c_2796]) ).
tcf(c_3028,plain,
! [X0: $i,X1: $i] :
( subset(sK7(singleton(sK12),sK12),sK12)
| ~ subset(X0,X1)
| ( sK12 != X1 )
| ( sK7(singleton(sK12),sK12) != X0 ) ),
inference(instantiation,[status(thm)],[c_1876]) ).
tcf(c_3029,plain,
( subset(sK7(singleton(sK12),sK12),sK12)
| ~ subset(sK12,sK12)
| ( sK12 != sK12 )
| ( sK7(singleton(sK12),sK12) != sK12 ) ),
inference(instantiation,[status(thm)],[c_3028]) ).
tcf(c_5079,plain,
! [X0: $i] :
( ( sK4(singleton(sK12)) = sK5(singleton(sK12)) )
| ( sK5(singleton(sK12)) != X0 )
| ( sK4(singleton(sK12)) != X0 ) ),
inference(instantiation,[status(thm)],[c_1875]) ).
tcf(c_5080,plain,
( ( sK4(singleton(sK12)) = sK5(singleton(sK12)) )
| ( sK5(singleton(sK12)) != sK12 )
| ( sK4(singleton(sK12)) != sK12 ) ),
inference(instantiation,[status(thm)],[c_5079]) ).
tcf(c_6170,plain,
! [X0: $i] :
( ( sK7(singleton(sK12),sK12) = X0 )
| ~ member(sK7(singleton(sK12),sK12),singleton(X0)) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_6171,plain,
( ( sK7(singleton(sK12),sK12) = sK12 )
| ~ member(sK7(singleton(sK12),sK12),singleton(sK12)) ),
inference(instantiation,[status(thm)],[c_6170]) ).
fof(f31,definition,
! [X0] :
( ~ sP0(X0)
| ? [X5,X6] :
( member(X6,X0)
& member(X5,X0)
& ? [X7] :
( member(X7,X6)
& member(X7,X5) )
& X5 != X6 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f32,plain,
! [X0,X1] :
( sP0(X0)
| ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ member(X3,X4)
| ~ member(X4,X0) ) )
| ? [X2] :
( member(X2,X0)
& ~ subset(X2,X1) )
| partition(X0,X1) ),
inference(definition_folding,[],[f29,f31]) ).
fof(f52,plain,
! [X0] :
( ~ sP0(X0)
| ? [X5,X6] :
( member(X6,X0)
& member(X5,X0)
& ? [X7] :
( member(X7,X6)
& member(X7,X5) )
& X5 != X6 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f53,plain,
! [X0] :
( ~ sP0(X0)
| ? [X1,X2] :
( member(X2,X0)
& member(X1,X0)
& ? [X3] :
( member(X3,X2)
& member(X3,X1) )
& X1 != X2 ) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ~ sP0(X0)
| ( member(sK5(X0),X0)
& member(sK4(X0),X0)
& member(sK6(X0),sK5(X0))
& member(sK6(X0),sK4(X0))
& sK4(X0) != sK5(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X1,sK4(X0)),skolemize(X2,sK5(X0)),skolemize(X3,sK6(X0))],[f53]) ).
fof(f88,plain,
! [X0] :
( ~ sP0(X0)
| member(sK5(X0),X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f89,plain,
! [X0] :
( ~ sP0(X0)
| member(sK4(X0),X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f92,plain,
! [X0] :
( ~ sP0(X0)
| sK4(X0) != sK5(X0) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_75,plain,
! [X0: $i] :
( ~ sP0(X0)
| ( sK4(X0) != sK5(X0) ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_78,plain,
! [X0: $i] :
( member(sK4(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_79,plain,
! [X0: $i] :
( member(sK5(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_179,plain,
! [X0: $i] :
( ~ sP0(X0)
| ( sK4(X0) != sK5(X0) ) ),
inference(prop_impl_just,[status(thm)],[c_75]) ).
tcf(c_187,plain,
! [X0: $i] :
( member(sK4(X0),X0)
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
tcf(c_189,plain,
! [X0: $i] :
( member(sK5(X0),X0)
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
tcf(c_784,plain,
! [X0: $i] :
( member(sK5(X0),X0)
| ~ subset(sK7(singleton(sK12),sK12),sK12)
| ( singleton(sK12) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_189,c_772]) ).
tcf(c_785,plain,
( member(sK5(singleton(sK12)),singleton(sK12))
| ~ subset(sK7(singleton(sK12),sK12),sK12) ),
inference(unflattening,[status(thm)],[c_784]) ).
tcf(c_792,plain,
! [X0: $i] :
( member(sK5(X0),X0)
| member(sK7(singleton(sK12),sK12),singleton(sK12))
| ( singleton(sK12) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_189,c_750]) ).
tcf(c_793,plain,
( member(sK5(singleton(sK12)),singleton(sK12))
| member(sK7(singleton(sK12),sK12),singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_792]) ).
tcf(c_800,plain,
! [X0: $i] :
( member(sK4(X0),X0)
| ~ subset(sK7(singleton(sK12),sK12),sK12)
| ( singleton(sK12) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_187,c_772]) ).
tcf(c_801,plain,
( member(sK4(singleton(sK12)),singleton(sK12))
| ~ subset(sK7(singleton(sK12),sK12),sK12) ),
inference(unflattening,[status(thm)],[c_800]) ).
tcf(c_808,plain,
! [X0: $i] :
( member(sK4(X0),X0)
| member(sK7(singleton(sK12),sK12),singleton(sK12))
| ( singleton(sK12) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_187,c_750]) ).
tcf(c_809,plain,
( member(sK4(singleton(sK12)),singleton(sK12))
| member(sK7(singleton(sK12),sK12),singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_808]) ).
tcf(c_848,plain,
! [X0: $i] :
( ~ subset(sK7(singleton(sK12),sK12),sK12)
| ( singleton(sK12) != X0 )
| ( sK4(X0) != sK5(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_179,c_772]) ).
tcf(c_849,plain,
( ~ subset(sK7(singleton(sK12),sK12),sK12)
| ( sK4(singleton(sK12)) != sK5(singleton(sK12)) ) ),
inference(unflattening,[status(thm)],[c_848]) ).
tcf(c_856,plain,
! [X0: $i] :
( member(sK7(singleton(sK12),sK12),singleton(sK12))
| ( singleton(sK12) != X0 )
| ( sK4(X0) != sK5(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_179,c_750]) ).
tcf(c_857,plain,
( member(sK7(singleton(sK12),sK12),singleton(sK12))
| ( sK4(singleton(sK12)) != sK5(singleton(sK12)) ) ),
inference(unflattening,[status(thm)],[c_856]) ).
tcf(c_1168,plain,
( member(sK5(singleton(sK12)),singleton(sK12))
| member(sK7(singleton(sK12),sK12),singleton(sK12)) ),
inference(prop_impl_just,[status(thm)],[c_793]) ).
tcf(c_1170,plain,
( member(sK4(singleton(sK12)),singleton(sK12))
| member(sK7(singleton(sK12),sK12),singleton(sK12)) ),
inference(prop_impl_just,[status(thm)],[c_809]) ).
tcf(c_1178,plain,
( member(sK5(singleton(sK12)),singleton(sK12))
| ~ subset(sK7(singleton(sK12),sK12),sK12) ),
inference(prop_impl_just,[status(thm)],[c_785]) ).
tcf(c_1180,plain,
( member(sK4(singleton(sK12)),singleton(sK12))
| ~ subset(sK7(singleton(sK12),sK12),sK12) ),
inference(prop_impl_just,[status(thm)],[c_801]) ).
tcf(c_1186,plain,
( ( sK4(singleton(sK12)) != sK5(singleton(sK12)) )
| ~ subset(sK7(singleton(sK12),sK12),sK12) ),
inference(prop_impl_just,[status(thm)],[c_849]) ).
tcf(c_1187,plain,
( ~ subset(sK7(singleton(sK12),sK12),sK12)
| ( sK4(singleton(sK12)) != sK5(singleton(sK12)) ) ),
inference(renaming,[status(thm)],[c_1186]) ).
tcf(c_3732,plain,
( member(sK5(singleton(sK12)),singleton(sK12))
| ( sK7(singleton(sK12),sK12) = sK12 ) ),
inference(superposition,[status(thm)],[c_1168,c_65]) ).
tcf(c_3782,plain,
( member(sK4(singleton(sK12)),singleton(sK12))
| ( sK7(singleton(sK12),sK12) = sK12 ) ),
inference(superposition,[status(thm)],[c_1170,c_65]) ).
tcf(c_3808,plain,
member(sK5(singleton(sK12)),singleton(sK12)),
inference(global_subsumption_just,[status(thm)],[c_1178,c_95,c_106,c_785,c_2800,c_3029,c_3732]) ).
tcf(c_3813,plain,
sK5(singleton(sK12)) = sK12,
inference(superposition,[status(thm)],[c_3808,c_65]) ).
tcf(c_3821,plain,
( ~ subset(sK7(singleton(sK12),sK12),sK12)
| ( sK4(singleton(sK12)) != sK12 ) ),
inference(demodulation,[status(thm)],[c_1187,c_3813]) ).
tcf(c_3827,plain,
member(sK4(singleton(sK12)),singleton(sK12)),
inference(global_subsumption_just,[status(thm)],[c_1180,c_95,c_106,c_801,c_2800,c_3029,c_3782]) ).
tcf(c_3832,plain,
sK4(singleton(sK12)) = sK12,
inference(superposition,[status(thm)],[c_3827,c_65]) ).
tcf(c_6172,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6171,c_5080,c_3832,c_3821,c_3813,c_3029,c_2800,c_857,c_106,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV521+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 14:52:53 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 3.98/1.28 % SZS status Started for theBenchmark.p
% 3.98/1.28 % SZS status Theorem for theBenchmark.p
% 3.98/1.28
% 3.98/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.98/1.28
% 3.98/1.28 % ------ iProver source info
% 3.98/1.28
% 3.98/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.98/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.98/1.28 % git: non_committed_changes: false
% 3.98/1.28
% 3.98/1.28 % ------ Parsing...
% 3.98/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.98/1.28
% 3.98/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.98/1.28
% 3.98/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.98/1.28
% 3.98/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.98/1.28 % ------ Proving...
% 3.98/1.28 % ------ Problem Properties
% 3.98/1.28
% 3.98/1.28 %
% 3.98/1.28 % clauses 45
% 3.98/1.28 % conjectures 1
% 3.98/1.28 % EPR 3
% 3.98/1.28 % Horn 34
% 3.98/1.28 % unary 5
% 3.98/1.28 % binary 28
% 3.98/1.28 % lits 98
% 3.98/1.28 % lits eq 9
% 3.98/1.28 % fd_pure 0
% 3.98/1.28 % fd_pseudo 0
% 3.98/1.28 % fd_cond 0
% 3.98/1.28 % fd_pseudo_cond 5
% 3.98/1.28 % AC symbols 0
% 3.98/1.28
% 3.98/1.28 % ------ Schedule dynamic 5 is on
% 3.98/1.28
% 3.98/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.98/1.28
% 3.98/1.28
% 3.98/1.28 % ------
% 3.98/1.28 % Current options:
% 3.98/1.28 % ------
% 3.98/1.28
% 3.98/1.28
% 3.98/1.28 %
% 3.98/1.28
% 3.98/1.28 % ------ Proving...
% 3.98/1.28 %
% 3.98/1.28
% 3.98/1.28 % SZS status Theorem for theBenchmark.p
% 3.98/1.28
% 3.98/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.98/1.28
% 3.98/1.28
%------------------------------------------------------------------------------