%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB020+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 : Tue Sep 29 01:00:08 PM UTC 2026
% Result : Theorem 4.02s 1.51s
% Output : Refutation 5.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 89 ( 34 unt; 4 def)
% Number of atoms : 547 ( 0 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 685 ( 227 ~; 234 |; 196 &)
% ( 24 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-5 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-4 aty)
% Number of variables : 245 ( 226 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(f4,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,X5)
& iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,uri_rdf_nil) )
=> ( iext(uri_owl_unionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( icext(X0,X7)
<=> ( icext(X2,X7)
| icext(X4,X7)
| icext(X6,X7) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
fof(f5,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f6,axiom,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
~ ( icext(X0,X2)
& icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
fof(f7,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_020_Logical_Complications) ).
fof(f8,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,axiom,
? [X0,X1,X2,X3,X4,X5,X6] :
( iext(uri_owl_unionOf,uri_ex_c,X2)
& iext(uri_rdf_first,X2,uri_ex_c1)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X3,uri_ex_c2)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X4,uri_ex_c3)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_d,X0)
& iext(uri_owl_intersectionOf,X0,X5)
& iext(uri_rdf_first,X5,uri_ex_c)
& iext(uri_rdf_rest,X5,X6)
& iext(uri_rdf_first,X6,X1)
& iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_owl_complementOf,X1,uri_ex_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_020_Logical_Complications) ).
fof(f10,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(flattening,[],[f8]) ).
fof(f11,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f12,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( icext(X0,X7)
<=> ( icext(X2,X7)
| icext(X4,X7)
| icext(X6,X7) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(ennf_transformation,[],[f4]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( icext(X0,X7)
<=> ( icext(X2,X7)
| icext(X4,X7)
| icext(X6,X7) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(ennf_transformation,[],[f3]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f19,definition,
! [X0,X2,X4,X6] :
( sP0(X0,X2,X4,X6)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( icext(X0,X7)
<=> ( icext(X2,X7)
| icext(X4,X7)
| icext(X6,X7) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X6,X4,X2,X0,X1] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> sP0(X0,X2,X4,X6) )
| ~ sP1(X6,X4,X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP1(X6,X4,X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(definition_folding,[],[f14,f20,f19]) ).
fof(f22,definition,
! [X0,X2,X4] :
( sP2(X0,X2,X4)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X4,X2,X0,X1] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> sP2(X0,X2,X4) )
| ~ sP3(X4,X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4] :
( sP3(X4,X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(definition_folding,[],[f16,f23,f22]) ).
fof(f25,plain,
( iext(uri_owl_unionOf,uri_ex_c,sK6)
& iext(uri_rdf_first,sK6,uri_ex_c1)
& iext(uri_rdf_rest,sK6,sK7)
& iext(uri_rdf_first,sK7,uri_ex_c2)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK8,uri_ex_c3)
& iext(uri_rdf_rest,sK8,uri_rdf_nil)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_d,sK4)
& iext(uri_owl_intersectionOf,sK4,sK9)
& iext(uri_rdf_first,sK9,uri_ex_c)
& iext(uri_rdf_rest,sK9,sK10)
& iext(uri_rdf_first,sK10,sK5)
& iext(uri_rdf_rest,sK10,uri_rdf_nil)
& iext(uri_owl_complementOf,sK5,uri_ex_c2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7),skolemize(X4,sK8),skolemize(X5,sK9),skolemize(X6,sK10)],[f9]) ).
fof(f26,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f27,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ~ icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(rectify,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( icext(X0,sK11(X0,X1))
& icext(X1,sK11(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ~ icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK12(X0,X1))
& icext(X0,sK12(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f32]) ).
fof(f34,plain,
! [X6,X4,X2,X0,X1] :
( ( ( iext(uri_owl_unionOf,X0,X1)
| ~ sP0(X0,X2,X4,X6) )
& ( sP0(X0,X2,X4,X6)
| ~ iext(uri_owl_unionOf,X0,X1) ) )
| ~ sP1(X6,X4,X2,X0,X1) ),
inference(nnf_transformation,[],[f20]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_unionOf,X3,X4)
| ~ sP0(X3,X2,X1,X0) )
& ( sP0(X3,X2,X1,X0)
| ~ iext(uri_owl_unionOf,X3,X4) ) )
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0,X2,X4,X6] :
( ( sP0(X0,X2,X4,X6)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ~ ic(X6)
| ? [X7] :
( ( ( ~ icext(X2,X7)
& ~ icext(X4,X7)
& ~ icext(X6,X7) )
| ~ icext(X0,X7) )
& ( icext(X2,X7)
| icext(X4,X7)
| icext(X6,X7)
| icext(X0,X7) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( ( icext(X0,X7)
| ( ~ icext(X2,X7)
& ~ icext(X4,X7)
& ~ icext(X6,X7) ) )
& ( icext(X2,X7)
| icext(X4,X7)
| icext(X6,X7)
| ~ icext(X0,X7) ) ) )
| ~ sP0(X0,X2,X4,X6) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f37,plain,
! [X0,X2,X4,X6] :
( ( sP0(X0,X2,X4,X6)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ~ ic(X6)
| ? [X7] :
( ( ( ~ icext(X2,X7)
& ~ icext(X4,X7)
& ~ icext(X6,X7) )
| ~ icext(X0,X7) )
& ( icext(X2,X7)
| icext(X4,X7)
| icext(X6,X7)
| icext(X0,X7) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( ( icext(X0,X7)
| ( ~ icext(X2,X7)
& ~ icext(X4,X7)
& ~ icext(X6,X7) ) )
& ( icext(X2,X7)
| icext(X4,X7)
| icext(X6,X7)
| ~ icext(X0,X7) ) ) )
| ~ sP0(X0,X2,X4,X6) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ~ ic(X3)
| ? [X4] :
( ( ( ~ icext(X1,X4)
& ~ icext(X2,X4)
& ~ icext(X3,X4) )
| ~ icext(X0,X4) )
& ( icext(X1,X4)
| icext(X2,X4)
| icext(X3,X4)
| icext(X0,X4) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ic(X3)
& ! [X5] :
( ( icext(X0,X5)
| ( ~ icext(X1,X5)
& ~ icext(X2,X5)
& ~ icext(X3,X5) ) )
& ( icext(X1,X5)
| icext(X2,X5)
| icext(X3,X5)
| ~ icext(X0,X5) ) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ~ ic(X3)
| ( ( ( ~ icext(X1,sK13(X0,X1,X2,X3))
& ~ icext(X2,sK13(X0,X1,X2,X3))
& ~ icext(X3,sK13(X0,X1,X2,X3)) )
| ~ icext(X0,sK13(X0,X1,X2,X3)) )
& ( icext(X1,sK13(X0,X1,X2,X3))
| icext(X2,sK13(X0,X1,X2,X3))
| icext(X3,sK13(X0,X1,X2,X3))
| icext(X0,sK13(X0,X1,X2,X3)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ic(X3)
& ! [X5] :
( ( icext(X0,X5)
| ( ~ icext(X1,X5)
& ~ icext(X2,X5)
& ~ icext(X3,X5) ) )
& ( icext(X1,X5)
| icext(X2,X5)
| icext(X3,X5)
| ~ icext(X0,X5) ) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X4,sK13(X0,X1,X2,X3))],[f38]) ).
fof(f40,plain,
! [X4,X2,X0,X1] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ sP2(X0,X2,X4) )
& ( sP2(X0,X2,X4)
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ sP3(X4,X2,X0,X1) ),
inference(nnf_transformation,[],[f23]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ( ( iext(uri_owl_intersectionOf,X2,X3)
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,X2,X3) ) )
| ~ sP3(X0,X1,X2,X3) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
! [X0,X2,X4] :
( ( sP2(X0,X2,X4)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X2,X5)
| ~ icext(X4,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) ) ) )
| ~ sP2(X0,X2,X4) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X0,X2,X4] :
( ( sP2(X0,X2,X4)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X2,X5)
| ~ icext(X4,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) ) ) )
| ~ sP2(X0,X2,X4) ) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ? [X3] :
( ( ~ icext(X1,X3)
| ~ icext(X2,X3)
| ~ icext(X0,X3) )
& ( ( icext(X1,X3)
& icext(X2,X3) )
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ! [X4] :
( ( icext(X0,X4)
| ~ icext(X1,X4)
| ~ icext(X2,X4) )
& ( ( icext(X1,X4)
& icext(X2,X4) )
| ~ icext(X0,X4) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f43]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ( ( ~ icext(X1,sK14(X0,X1,X2))
| ~ icext(X2,sK14(X0,X1,X2))
| ~ icext(X0,sK14(X0,X1,X2)) )
& ( ( icext(X1,sK14(X0,X1,X2))
& icext(X2,sK14(X0,X1,X2)) )
| icext(X0,sK14(X0,X1,X2)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ! [X4] :
( ( icext(X0,X4)
| ~ icext(X1,X4)
| ~ icext(X2,X4) )
& ( ( icext(X1,X4)
& icext(X2,X4) )
| ~ icext(X0,X4) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1,X2))],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(nnf_transformation,[],[f17]) ).
fof(f47,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(cnf_transformation,[],[f10]) ).
fof(f48,plain,
iext(uri_owl_complementOf,sK5,uri_ex_c2),
inference(cnf_transformation,[],[f25]) ).
fof(f49,plain,
iext(uri_rdf_rest,sK10,uri_rdf_nil),
inference(cnf_transformation,[],[f25]) ).
fof(f50,plain,
iext(uri_rdf_first,sK10,sK5),
inference(cnf_transformation,[],[f25]) ).
fof(f51,plain,
iext(uri_rdf_rest,sK9,sK10),
inference(cnf_transformation,[],[f25]) ).
fof(f52,plain,
iext(uri_rdf_first,sK9,uri_ex_c),
inference(cnf_transformation,[],[f25]) ).
fof(f53,plain,
iext(uri_owl_intersectionOf,sK4,sK9),
inference(cnf_transformation,[],[f25]) ).
fof(f54,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,sK4),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
iext(uri_rdf_rest,sK8,uri_rdf_nil),
inference(cnf_transformation,[],[f25]) ).
fof(f57,plain,
iext(uri_rdf_first,sK8,uri_ex_c3),
inference(cnf_transformation,[],[f25]) ).
fof(f58,plain,
iext(uri_rdf_rest,sK7,sK8),
inference(cnf_transformation,[],[f25]) ).
fof(f59,plain,
iext(uri_rdf_first,sK7,uri_ex_c2),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
iext(uri_rdf_rest,sK6,sK7),
inference(cnf_transformation,[],[f25]) ).
fof(f61,plain,
iext(uri_rdf_first,sK6,uri_ex_c1),
inference(cnf_transformation,[],[f25]) ).
fof(f62,plain,
iext(uri_owl_unionOf,uri_ex_c,sK6),
inference(cnf_transformation,[],[f25]) ).
fof(f63,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_disjointWith,X0,X1)
| ~ icext(X1,X3)
| ~ icext(X0,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f68,plain,
! [X3,X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X0,X3)
| icext(X1,X3) ),
inference(cnf_transformation,[],[f33]) ).
fof(f70,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f71,plain,
! [X0,X1] :
( icext(X0,sK12(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f72,plain,
! [X0,X1] :
( ~ icext(X1,sK12(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_unionOf,X3,X4)
| sP0(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| icext(X2,X5)
| icext(X3,X5)
| ~ icext(X0,X5)
| icext(X1,X5) ),
inference(cnf_transformation,[],[f39]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| ic(X3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| sP1(X6,X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( ~ sP3(X0,X1,X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f90,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ icext(X0,X4)
| icext(X2,X4) ),
inference(cnf_transformation,[],[f45]) ).
fof(f91,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ icext(X0,X4)
| icext(X1,X4) ),
inference(cnf_transformation,[],[f45]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| sP3(X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X0,X2)
| ~ icext(X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f107,plain,
ic(uri_ex_d),
inference(unit_resulting_resolution,[],[f70,f54]) ).
fof(f113,plain,
! [X0] : sP3(sK5,uri_ex_c,X0,sK9),
inference(unit_resulting_resolution,[],[f99,f50,f52,f51,f49]) ).
fof(f116,plain,
sP2(sK4,uri_ex_c,sK5),
inference(unit_resulting_resolution,[],[f88,f53,f113]) ).
fof(f123,plain,
! [X0] : sP1(uri_ex_c3,uri_ex_c2,uri_ex_c1,X0,sK6),
inference(unit_resulting_resolution,[],[f87,f57,f61,f59,f60,f58,f56]) ).
fof(f136,plain,
sP0(uri_ex_c,uri_ex_c1,uri_ex_c2,uri_ex_c3),
inference(unit_resulting_resolution,[],[f73,f62,f123]) ).
fof(f144,plain,
ic(uri_ex_c3),
inference(unit_resulting_resolution,[],[f79,f136]) ).
fof(f154,plain,
icext(uri_ex_d,sK12(uri_ex_d,uri_ex_c3)),
inference(unit_resulting_resolution,[],[f71,f107,f47,f144]) ).
fof(f155,plain,
~ icext(uri_ex_c3,sK12(uri_ex_d,uri_ex_c3)),
inference(unit_resulting_resolution,[],[f72,f107,f47,f144]) ).
fof(f162,plain,
~ icext(uri_ex_c1,sK12(uri_ex_d,uri_ex_c3)),
inference(unit_resulting_resolution,[],[f63,f55,f154]) ).
fof(f165,plain,
icext(sK4,sK12(uri_ex_d,uri_ex_c3)),
inference(unit_resulting_resolution,[],[f68,f54,f154]) ).
fof(f264,plain,
icext(sK5,sK12(uri_ex_d,uri_ex_c3)),
inference(unit_resulting_resolution,[],[f90,f116,f165]) ).
fof(f267,plain,
icext(uri_ex_c,sK12(uri_ex_d,uri_ex_c3)),
inference(unit_resulting_resolution,[],[f91,f116,f165]) ).
fof(f351,plain,
~ icext(uri_ex_c2,sK12(uri_ex_d,uri_ex_c3)),
inference(unit_resulting_resolution,[],[f100,f48,f264]) ).
fof(f367,plain,
icext(uri_ex_c2,sK12(uri_ex_d,uri_ex_c3)),
inference(unit_resulting_resolution,[],[f75,f136,f162,f155,f267]) ).
fof(f411,plain,
$false,
inference(forward_subsumption_resolution,[],[f367,f351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB020+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:04:16 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.02/1.51 % (3218714)Detected formulas, will run a generic FOF schedule.
% 4.02/1.51 % (3218765)dis-21_1_sil=8000:lcm=predicate:random_seed=1923547614:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.02/1.51 % (3218762)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1742563169:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.02/1.51 % (3218765)Instruction limit reached!
% 4.02/1.51 % (3218765)------------------------------
% 4.02/1.51 % (3218765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.51 % (3218765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.51 % (3218765)CaDiCaL version: 2.1.3
% 4.02/1.51 % (3218765)Termination reason: Instruction limit
% 4.02/1.51 % (3218765)Termination phase: Saturation
% 4.02/1.51 % (3218765)Time elapsed: 0.035 s
% 4.02/1.51 % (3218765)Peak memory usage: 88 MB
% 4.02/1.51 % (3218765)Instructions burned: 131 (million)
% 4.02/1.51 % (3218762)Refutation not found, incomplete strategy
% 4.02/1.51 % (3218762)------------------------------
% 4.02/1.51 % (3218762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.51 % (3218762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.51 % (3218762)CaDiCaL version: 2.1.3
% 4.02/1.51 % (3218762)Termination reason: Refutation not found, incomplete strategy
% 4.02/1.51 % (3218762)Time elapsed: 0.001 s
% 4.02/1.51 % (3218762)Peak memory usage: 87 MB
% 4.02/1.51 % (3218763)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1682135343:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.02/1.51 % (3218759)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=958952315:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.02/1.51 % (3218761)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4081922794:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.02/1.51 % (3218760)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=151135927:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.02/1.51 % (3218763)Refutation not found, incomplete strategy
% 4.02/1.51 % (3218763)------------------------------
% 4.02/1.51 % (3218763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.51 % (3218763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.51 % (3218763)CaDiCaL version: 2.1.3
% 4.02/1.51 % (3218763)Termination reason: Refutation not found, incomplete strategy
% 4.02/1.51 % (3218763)Time elapsed: 0.001 s
% 4.02/1.51 % (3218763)Peak memory usage: 88 MB
% 4.02/1.51 % (3218764)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1696718680:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.02/1.51 % (3218768)lrs+10_1_sil=8000:sp=occurrence:random_seed=2135250997:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.02/1.51 % (3218764)Instruction limit reached!
% 4.02/1.51 % (3218764)------------------------------
% 4.02/1.51 % (3218764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.51 % (3218764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.51 % (3218764)CaDiCaL version: 2.1.3
% 4.02/1.51 % (3218764)Termination reason: Instruction limit
% 4.02/1.51 % (3218764)Termination phase: Saturation
% 4.02/1.51 % (3218764)Time elapsed: 0.099 s
% 4.02/1.51 % (3218764)Peak memory usage: 89 MB
% 4.02/1.51 % (3218764)Instructions burned: 140 (million)
% 4.02/1.51 % (3218768)Instruction limit reached!
% 4.02/1.51 % (3218768)------------------------------
% 4.02/1.51 % (3218768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.51 % (3218768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.51 % (3218768)CaDiCaL version: 2.1.3
% 4.02/1.51 % (3218768)Termination reason: Instruction limit
% 4.02/1.51 % (3218768)Termination phase: Saturation
% 4.02/1.51 % (3218768)Time elapsed: 0.091 s
% 4.02/1.51 % (3218768)Peak memory usage: 91 MB
% 4.02/1.51 % (3218768)Instructions burned: 287 (million)
% 4.02/1.51 % (3218762)------------------------------
% 4.02/1.51 % (3218762)------------------------------
% 4.02/1.51 % (3218775)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3318667736:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.02/1.51 % (3218763)------------------------------
% 4.02/1.51 % (3218763)------------------------------
% 4.02/1.51 % (3218775)First to succeed.
% 4.02/1.51 % (3218775)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3218714"
% 4.02/1.51 % (3218776)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1223278546:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 4.02/1.51 % (3218776)Instruction limit reached!
% 4.02/1.51 % (3218776)------------------------------
% 4.02/1.51 % (3218776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.51 % (3218778)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1072621868:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.02/1.51 % (3218776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.51 % (3218776)CaDiCaL version: 2.1.3
% 4.02/1.51 % (3218776)Termination reason: Instruction limit
% 4.02/1.51 % (3218776)Termination phase: Saturation
% 4.02/1.51 % (3218776)Time elapsed: 0.099 s
% 4.02/1.51 % (3218776)Peak memory usage: 90 MB
% 4.02/1.51 % (3218776)Instructions burned: 328 (million)
% 4.02/1.51 % (3218779)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=224961386:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.02/1.51 % (3218779)Refutation not found, incomplete strategy
% 4.02/1.51 % (3218779)------------------------------
% 4.02/1.51 % (3218779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.51 % (3218779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.51 % (3218779)CaDiCaL version: 2.1.3
% 4.02/1.51 % (3218779)Termination reason: Refutation not found, incomplete strategy
% 4.02/1.51 % (3218779)Time elapsed: 0.002 s
% 4.02/1.51 % (3218779)Peak memory usage: 87 MB
% 4.02/1.51 % (3218779)Instructions burned: 1 (million)
% 4.02/1.51 % (3218778)Also succeeded, but the first one will report.
% 4.02/1.51 % (3218783)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=998929311:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.02/1.51 % (3218775)Refutation found. Thanks to Tanya!
% 4.02/1.51 % SZS status Theorem for theBenchmark
% 4.02/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 5.23/1.61 % (3218775)------------------------------
% 5.23/1.61 % (3218775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.23/1.61 % (3218775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.61 % (3218775)CaDiCaL version: 2.1.3
% 5.23/1.61 % (3218775)Termination reason: Refutation
% 5.23/1.61 % (3218775)Time elapsed: 0.015 s
% 5.23/1.61 % (3218775)Peak memory usage: 89 MB
% 5.23/1.61 % (3218775)Instructions burned: 24 (million)
% 5.23/1.61 % (3218775)------------------------------
% 5.23/1.61 % (3218775)------------------------------
% 5.23/1.61 % (3218714)Success in time 0.655 s
% 5.23/1.61 % Vampire exiting
%------------------------------------------------------------------------------