%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB021+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 01:00:09 PM UTC 2026
% Result : Theorem 6.87s 1.76s
% Output : Refutation 8.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 27
% Syntax : Number of formulae : 251 ( 52 unt; 19 def)
% Number of atoms : 1137 ( 170 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1468 ( 582 ~; 650 |; 190 &)
% ( 41 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-5 aty)
% Number of functors : 27 ( 27 usr; 23 con; 0-4 aty)
% Number of variables : 474 ( 0 sgn 453 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_owl_oneOf,X0,X1)
=> ( ic(X0)
& icext(uri_rdf_List,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_unionOf,X0,X1)
=> ( ic(X0)
& icext(uri_rdf_List,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
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_unionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
| icext(X4,X5) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
fof(f4,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_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_002) ).
fof(f5,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_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X7] :
( icext(X0,X7)
<=> ( X7 = X2
| X7 = X4
| X7 = X6 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_003) ).
fof(f6,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f7,conjecture,
iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_021_Composite_Enumerations) ).
fof(f8,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,axiom,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( iext(uri_owl_oneOf,uri_ex_c1,X0)
& iext(uri_rdf_first,X0,uri_ex_w1)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X1,uri_ex_w2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c2,X2)
& iext(uri_rdf_first,X2,uri_ex_w2)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X3,uri_ex_w3)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c3,X4)
& iext(uri_rdf_first,X4,uri_ex_w1)
& iext(uri_rdf_rest,X4,X5)
& iext(uri_rdf_first,X5,uri_ex_w2)
& iext(uri_rdf_rest,X5,X6)
& iext(uri_rdf_first,X6,uri_ex_w3)
& iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_owl_unionOf,uri_ex_c4,X7)
& iext(uri_rdf_first,X7,uri_ex_c1)
& iext(uri_rdf_rest,X7,X8)
& iext(uri_rdf_first,X8,uri_ex_c2)
& iext(uri_rdf_rest,X8,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_021_Composite_Enumerations) ).
fof(f10,plain,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(flattening,[],[f8]) ).
fof(f11,plain,
! [X0,X1] :
( ( ic(X0)
& icext(uri_rdf_List,X1) )
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0,X1] :
( ( ic(X0)
& icext(uri_rdf_List,X1) )
| ~ iext(uri_owl_unionOf,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_unionOf,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(f14,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_unionOf,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,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = 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) ),
inference(ennf_transformation,[],[f4]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = 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) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X7] :
( icext(X0,X7)
<=> ( X7 = X2
| X7 = X4
| X7 = 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) ),
inference(ennf_transformation,[],[f5]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X7] :
( icext(X0,X7)
<=> ( X7 = X2
| X7 = X4
| X7 = 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) ),
inference(flattening,[],[f17]) ).
fof(f19,definition,
! [X0,X2,X4] :
( sP0(X0,X2,X4)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
| icext(X4,X5) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X4,X2,X0,X1] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> sP0(X0,X2,X4) )
| ~ sP1(X4,X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4] :
( sP1(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,[],[f14,f20,f19]) ).
fof(f22,definition,
! [X0,X2,X4,X6] :
( sP2(X0,X2,X4,X6)
<=> ( ic(X0)
& ! [X7] :
( icext(X0,X7)
<=> ( X7 = X2
| X7 = X4
| X7 = X6 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X6,X4,X2,X0,X1] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> sP2(X0,X2,X4,X6) )
| ~ sP3(X6,X4,X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP3(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,[],[f18,f23,f22]) ).
fof(f25,plain,
! [X4,X2,X0,X1] :
( ( ( iext(uri_owl_unionOf,X0,X1)
| ~ sP0(X0,X2,X4) )
& ( sP0(X0,X2,X4)
| ~ iext(uri_owl_unionOf,X0,X1) ) )
| ~ sP1(X4,X2,X0,X1) ),
inference(nnf_transformation,[],[f20]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ( ( iext(uri_owl_unionOf,X2,X3)
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| ~ iext(uri_owl_unionOf,X2,X3) ) )
| ~ sP1(X0,X1,X2,X3) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
! [X0,X2,X4] :
( ( sP0(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) ) ) )
| ~ sP0(X0,X2,X4) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f28,plain,
! [X0,X2,X4] :
( ( sP0(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) ) ) )
| ~ sP0(X0,X2,X4) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( sP0(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) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ( ( ( ~ icext(X1,sK4(X0,X1,X2))
& ~ icext(X2,sK4(X0,X1,X2)) )
| ~ icext(X0,sK4(X0,X1,X2)) )
& ( icext(X1,sK4(X0,X1,X2))
| icext(X2,sK4(X0,X1,X2))
| icext(X0,sK4(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) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f29]) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X5] :
( ( icext(X0,X5)
| ( X2 != X5
& X4 != X5 ) )
& ( X5 = X2
| X5 = X4
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_oneOf,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(nnf_transformation,[],[f16]) ).
fof(f32,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X5] :
( ( icext(X0,X5)
| ( X2 != X5
& X4 != X5 ) )
& ( X5 = X2
| X5 = X4
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_oneOf,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(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X6] :
( ( icext(X0,X6)
| ( X2 != X6
& X4 != X6 ) )
& ( X2 = X6
| X4 = X6
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_oneOf,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(rectify,[],[f32]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( ( sK5(X0,X2,X4) != X2
& sK5(X0,X2,X4) != X4 )
| ~ icext(X0,sK5(X0,X2,X4)) )
& ( sK5(X0,X2,X4) = X2
| sK5(X0,X2,X4) = X4
| icext(X0,sK5(X0,X2,X4)) ) ) )
& ( ( ic(X0)
& ! [X6] :
( ( icext(X0,X6)
| ( X2 != X6
& X4 != X6 ) )
& ( X2 = X6
| X4 = X6
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_oneOf,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(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X5,sK5(X0,X2,X4))],[f33]) ).
fof(f35,plain,
! [X6,X4,X2,X0,X1] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ sP2(X0,X2,X4,X6) )
& ( sP2(X0,X2,X4,X6)
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ sP3(X6,X4,X2,X0,X1) ),
inference(nnf_transformation,[],[f23]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X3,X4)
| ~ sP2(X3,X2,X1,X0) )
& ( sP2(X3,X2,X1,X0)
| ~ iext(uri_owl_oneOf,X3,X4) ) )
| ~ sP3(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
! [X0,X2,X4,X6] :
( ( sP2(X0,X2,X4,X6)
| ~ ic(X0)
| ? [X7] :
( ( ( X2 != X7
& X4 != X7
& X6 != X7 )
| ~ icext(X0,X7) )
& ( X7 = X2
| X7 = X4
| X7 = X6
| icext(X0,X7) ) ) )
& ( ( ic(X0)
& ! [X7] :
( ( icext(X0,X7)
| ( X2 != X7
& X4 != X7
& X6 != X7 ) )
& ( X7 = X2
| X7 = X4
| X7 = X6
| ~ icext(X0,X7) ) ) )
| ~ sP2(X0,X2,X4,X6) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X0,X2,X4,X6] :
( ( sP2(X0,X2,X4,X6)
| ~ ic(X0)
| ? [X7] :
( ( ( X2 != X7
& X4 != X7
& X6 != X7 )
| ~ icext(X0,X7) )
& ( X7 = X2
| X7 = X4
| X7 = X6
| icext(X0,X7) ) ) )
& ( ( ic(X0)
& ! [X7] :
( ( icext(X0,X7)
| ( X2 != X7
& X4 != X7
& X6 != X7 ) )
& ( X7 = X2
| X7 = X4
| X7 = X6
| ~ icext(X0,X7) ) ) )
| ~ sP2(X0,X2,X4,X6) ) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ( sP2(X0,X1,X2,X3)
| ~ ic(X0)
| ? [X4] :
( ( ( X1 != X4
& X2 != X4
& X3 != X4 )
| ~ icext(X0,X4) )
& ( X1 = X4
| X2 = X4
| X3 = X4
| icext(X0,X4) ) ) )
& ( ( ic(X0)
& ! [X5] :
( ( icext(X0,X5)
| ( X1 != X5
& X2 != X5
& X3 != X5 ) )
& ( X1 = X5
| X2 = X5
| X3 = X5
| ~ icext(X0,X5) ) ) )
| ~ sP2(X0,X1,X2,X3) ) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ( sP2(X0,X1,X2,X3)
| ~ ic(X0)
| ( ( ( sK6(X0,X1,X2,X3) != X1
& sK6(X0,X1,X2,X3) != X2
& sK6(X0,X1,X2,X3) != X3 )
| ~ icext(X0,sK6(X0,X1,X2,X3)) )
& ( sK6(X0,X1,X2,X3) = X1
| sK6(X0,X1,X2,X3) = X2
| sK6(X0,X1,X2,X3) = X3
| icext(X0,sK6(X0,X1,X2,X3)) ) ) )
& ( ( ic(X0)
& ! [X5] :
( ( icext(X0,X5)
| ( X1 != X5
& X2 != X5
& X3 != X5 ) )
& ( X1 = X5
| X2 = X5
| X3 = X5
| ~ icext(X0,X5) ) ) )
| ~ sP2(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X4,sK6(X0,X1,X2,X3))],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f42,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK7(X0,X1))
| ~ icext(X0,sK7(X0,X1)) )
& ( icext(X1,sK7(X0,X1))
| icext(X0,sK7(X0,X1)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f43]) ).
fof(f45,plain,
( iext(uri_owl_oneOf,uri_ex_c1,sK8)
& iext(uri_rdf_first,sK8,uri_ex_w1)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK9,uri_ex_w2)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c2,sK10)
& iext(uri_rdf_first,sK10,uri_ex_w2)
& iext(uri_rdf_rest,sK10,sK11)
& iext(uri_rdf_first,sK11,uri_ex_w3)
& iext(uri_rdf_rest,sK11,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c3,sK12)
& iext(uri_rdf_first,sK12,uri_ex_w1)
& iext(uri_rdf_rest,sK12,sK13)
& iext(uri_rdf_first,sK13,uri_ex_w2)
& iext(uri_rdf_rest,sK13,sK14)
& iext(uri_rdf_first,sK14,uri_ex_w3)
& iext(uri_rdf_rest,sK14,uri_rdf_nil)
& iext(uri_owl_unionOf,uri_ex_c4,sK15)
& iext(uri_rdf_first,sK15,uri_ex_c1)
& iext(uri_rdf_rest,sK15,sK16)
& iext(uri_rdf_first,sK16,uri_ex_c2)
& iext(uri_rdf_rest,sK16,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11),skolemize(X4,sK12),skolemize(X5,sK13),skolemize(X6,sK14),skolemize(X7,sK15),skolemize(X8,sK16)],[f9]) ).
fof(f47,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0,X1] :
( ~ iext(uri_owl_unionOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| ~ iext(uri_owl_unionOf,X2,X3)
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| icext(X2,X4)
| ~ icext(X0,X4)
| icext(X1,X4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X2,X4)
| icext(X0,X4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X1,X4)
| icext(X0,X4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f61,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)
| sP1(X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| X4 = X6
| ~ icext(X0,X6)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| X2 = X6 ),
inference(cnf_transformation,[],[f34]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X6,X4] :
( icext(X0,X6)
| X4 != X6
| ~ iext(uri_owl_oneOf,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(cnf_transformation,[],[f34]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X6,X4] :
( icext(X0,X6)
| X2 != X6
| ~ iext(uri_owl_oneOf,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(cnf_transformation,[],[f34]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP3(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_oneOf,X3,X4)
| sP2(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP2(X0,X1,X2,X3)
| X2 = X5
| X3 = X5
| ~ icext(X0,X5)
| X1 = X5 ),
inference(cnf_transformation,[],[f40]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X5] :
( icext(X0,X5)
| X3 != X5
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X5] :
( icext(X0,X5)
| X2 != X5
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X5] :
( icext(X0,X5)
| X1 != X5
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f80,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)
| sP3(X6,X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f85,plain,
! [X0,X1] :
( icext(X1,sK7(X0,X1))
| icext(X0,sK7(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f86,plain,
! [X0,X1] :
( ~ icext(X1,sK7(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f87,plain,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(cnf_transformation,[],[f10]) ).
fof(f88,plain,
iext(uri_rdf_rest,sK16,uri_rdf_nil),
inference(cnf_transformation,[],[f45]) ).
fof(f89,plain,
iext(uri_rdf_first,sK16,uri_ex_c2),
inference(cnf_transformation,[],[f45]) ).
fof(f90,plain,
iext(uri_rdf_rest,sK15,sK16),
inference(cnf_transformation,[],[f45]) ).
fof(f91,plain,
iext(uri_rdf_first,sK15,uri_ex_c1),
inference(cnf_transformation,[],[f45]) ).
fof(f92,plain,
iext(uri_owl_unionOf,uri_ex_c4,sK15),
inference(cnf_transformation,[],[f45]) ).
fof(f93,plain,
iext(uri_rdf_rest,sK14,uri_rdf_nil),
inference(cnf_transformation,[],[f45]) ).
fof(f94,plain,
iext(uri_rdf_first,sK14,uri_ex_w3),
inference(cnf_transformation,[],[f45]) ).
fof(f95,plain,
iext(uri_rdf_rest,sK13,sK14),
inference(cnf_transformation,[],[f45]) ).
fof(f96,plain,
iext(uri_rdf_first,sK13,uri_ex_w2),
inference(cnf_transformation,[],[f45]) ).
fof(f97,plain,
iext(uri_rdf_rest,sK12,sK13),
inference(cnf_transformation,[],[f45]) ).
fof(f98,plain,
iext(uri_rdf_first,sK12,uri_ex_w1),
inference(cnf_transformation,[],[f45]) ).
fof(f99,plain,
iext(uri_owl_oneOf,uri_ex_c3,sK12),
inference(cnf_transformation,[],[f45]) ).
fof(f100,plain,
iext(uri_rdf_rest,sK11,uri_rdf_nil),
inference(cnf_transformation,[],[f45]) ).
fof(f101,plain,
iext(uri_rdf_first,sK11,uri_ex_w3),
inference(cnf_transformation,[],[f45]) ).
fof(f102,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(cnf_transformation,[],[f45]) ).
fof(f103,plain,
iext(uri_rdf_first,sK10,uri_ex_w2),
inference(cnf_transformation,[],[f45]) ).
fof(f104,plain,
iext(uri_owl_oneOf,uri_ex_c2,sK10),
inference(cnf_transformation,[],[f45]) ).
fof(f105,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f45]) ).
fof(f106,plain,
iext(uri_rdf_first,sK9,uri_ex_w2),
inference(cnf_transformation,[],[f45]) ).
fof(f107,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f45]) ).
fof(f108,plain,
iext(uri_rdf_first,sK8,uri_ex_w1),
inference(cnf_transformation,[],[f45]) ).
fof(f109,plain,
iext(uri_owl_oneOf,uri_ex_c1,sK8),
inference(cnf_transformation,[],[f45]) ).
fof(f110,plain,
! [X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X6)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X0,X6) ),
inference(equality_resolution,[],[f64]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X6] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X6)
| icext(X0,X6) ),
inference(equality_resolution,[],[f63]) ).
fof(f112,plain,
! [X2,X3,X0,X5] :
( ~ sP2(X0,X5,X2,X3)
| icext(X0,X5) ),
inference(equality_resolution,[],[f74]) ).
fof(f113,plain,
! [X3,X0,X1,X5] :
( ~ sP2(X0,X1,X5,X3)
| icext(X0,X5) ),
inference(equality_resolution,[],[f73]) ).
fof(f114,plain,
! [X2,X0,X1,X5] :
( ~ sP2(X0,X1,X2,X5)
| icext(X0,X5) ),
inference(equality_resolution,[],[f72]) ).
fof(f119,plain,
ic(uri_ex_c4),
inference(resolution,[],[f49,f92]) ).
fof(f120,plain,
ic(uri_ex_c3),
inference(resolution,[],[f47,f99]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( sP1(X2,X1,X3,X0)
| ~ iext(uri_rdf_rest,X0,sK16)
| ~ iext(uri_rdf_first,sK16,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[],[f88,f61]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK16)
| ~ iext(uri_rdf_first,sK16,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_owl_unionOf,X3,X0)
| sP0(X3,X2,X1) ),
inference(resolution,[],[f124,f50]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK16,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(uri_owl_unionOf,X2,sK15)
| sP0(X2,X1,X0) ),
inference(resolution,[],[f150,f90]) ).
fof(f152,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK15,X0)
| ~ iext(uri_owl_unionOf,X1,sK15)
| sP0(X1,X0,uri_ex_c2) ),
inference(resolution,[],[f151,f89]) ).
fof(f153,plain,
! [X0] :
( ~ iext(uri_owl_unionOf,X0,sK15)
| sP0(X0,uri_ex_c1,uri_ex_c2) ),
inference(resolution,[],[f152,f91]) ).
fof(f154,plain,
sP0(uri_ex_c4,uri_ex_c1,uri_ex_c2),
inference(resolution,[],[f153,f92]) ).
fof(f157,plain,
! [X0] :
( ~ icext(uri_ex_c4,X0)
| icext(uri_ex_c2,X0)
| icext(uri_ex_c1,X0) ),
inference(resolution,[],[f154,f52]) ).
fof(f158,plain,
! [X0] :
( ~ icext(uri_ex_c1,X0)
| icext(uri_ex_c4,X0) ),
inference(resolution,[],[f154,f54]) ).
fof(f159,plain,
! [X0] :
( ~ icext(uri_ex_c2,X0)
| icext(uri_ex_c4,X0) ),
inference(resolution,[],[f154,f53]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X2,sK14)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK14,X4)
| sP3(X4,X3,X1,X5,X0) ),
inference(resolution,[],[f93,f80]) ).
fof(f178,definition,
( spl17_5
<=> ! [X3] : ~ iext(uri_rdf_first,sK14,X3) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f179,plain,
( ! [X3] : ~ iext(uri_rdf_first,sK14,X3)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X4] :
( sP3(X3,X1,X2,X4,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_rest,X0,sK13) ),
inference(resolution,[],[f172,f95]) ).
fof(f189,plain,
( $false
| ~ spl17_5 ),
inference(resolution,[],[f179,f94]) ).
fof(f190,plain,
~ spl17_5,
inference(avatar_contradiction_clause,[],[f189]) ).
fof(f195,definition,
( spl17_8
<=> ! [X0] : ~ iext(uri_rdf_first,sK13,X0) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f196,plain,
( ! [X0] : ~ iext(uri_rdf_first,sK13,X0)
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,sK13)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_first,sK13,X0)
| ~ iext(uri_owl_oneOf,X4,X1)
| sP2(X4,X2,X0,X3) ),
inference(resolution,[],[f186,f69]) ).
fof(f206,plain,
! [X2,X3,X0,X1] :
( sP2(X3,X0,X2,X1)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK13,X2)
| ~ iext(uri_owl_oneOf,X3,sK12)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(resolution,[],[f205,f97]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_owl_oneOf,X2,sK12)
| ~ iext(uri_rdf_first,sK12,X3)
| X1 = X4
| X0 = X4
| ~ icext(X2,X4)
| X3 = X4 ),
inference(resolution,[],[f206,f71]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_owl_oneOf,X2,sK12)
| ~ iext(uri_rdf_first,sK12,X3)
| icext(X2,X1) ),
inference(resolution,[],[f206,f113]) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_owl_oneOf,X2,sK12)
| ~ iext(uri_rdf_first,sK12,X3)
| icext(X2,X3) ),
inference(resolution,[],[f206,f112]) ).
fof(f210,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_owl_oneOf,X2,sK12)
| ~ iext(uri_rdf_first,sK12,X3)
| icext(X2,X0) ),
inference(resolution,[],[f206,f114]) ).
fof(f212,definition,
( spl17_9
<=> ! [X3] : ~ iext(uri_rdf_first,sK12,X3) ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
fof(f213,plain,
( ! [X3] : ~ iext(uri_rdf_first,sK12,X3)
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,definition,
( spl17_10
<=> ! [X2,X0] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_owl_oneOf,X2,sK12)
| icext(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f216,plain,
( ! [X2,X0] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_owl_oneOf,X2,sK12)
| icext(X2,X0) )
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f217,plain,
( spl17_9
| spl17_8
| spl17_10 ),
inference(avatar_split_clause,[],[f210,f215,f195,f212]) ).
fof(f219,definition,
( spl17_11
<=> ! [X2,X3] :
( ~ iext(uri_owl_oneOf,X2,sK12)
| icext(X2,X3)
| ~ iext(uri_rdf_first,sK12,X3) ) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
fof(f220,plain,
( ! [X2,X3] :
( ~ iext(uri_rdf_first,sK12,X3)
| icext(X2,X3)
| ~ iext(uri_owl_oneOf,X2,sK12) )
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f221,plain,
( spl17_11
| spl17_8
| spl17_5 ),
inference(avatar_split_clause,[],[f209,f178,f195,f219]) ).
fof(f223,definition,
( spl17_12
<=> ! [X2,X1] :
( ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_owl_oneOf,X2,sK12)
| icext(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
fof(f224,plain,
( ! [X2,X1] :
( ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_owl_oneOf,X2,sK12)
| icext(X2,X1) )
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( spl17_9
| spl17_12
| spl17_5 ),
inference(avatar_split_clause,[],[f208,f178,f223,f212]) ).
fof(f226,plain,
( $false
| ~ spl17_9 ),
inference(resolution,[],[f213,f98]) ).
fof(f227,plain,
~ spl17_9,
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK13,X0)
| ~ iext(uri_owl_oneOf,X1,sK12)
| ~ iext(uri_rdf_first,sK12,X2)
| X0 = X3
| uri_ex_w3 = X3
| ~ icext(X1,X3)
| X2 = X3 ),
inference(resolution,[],[f207,f94]) ).
fof(f241,plain,
( $false
| ~ spl17_8 ),
inference(resolution,[],[f196,f96]) ).
fof(f242,plain,
~ spl17_8,
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f243,plain,
( ! [X0] :
( ~ iext(uri_owl_oneOf,X0,sK12)
| icext(X0,uri_ex_w2) )
| ~ spl17_12 ),
inference(resolution,[],[f224,f96]) ).
fof(f244,plain,
( icext(uri_ex_c3,uri_ex_w2)
| ~ spl17_12 ),
inference(resolution,[],[f243,f99]) ).
fof(f245,plain,
( ! [X0] :
( ~ iext(uri_owl_oneOf,X0,sK12)
| icext(X0,uri_ex_w3) )
| ~ spl17_10 ),
inference(resolution,[],[f216,f94]) ).
fof(f246,plain,
( icext(uri_ex_c3,uri_ex_w3)
| ~ spl17_10 ),
inference(resolution,[],[f245,f99]) ).
fof(f247,plain,
( ! [X0] :
( ~ iext(uri_owl_oneOf,X0,sK12)
| icext(X0,uri_ex_w1) )
| ~ spl17_11 ),
inference(resolution,[],[f220,f98]) ).
fof(f248,plain,
( icext(uri_ex_c3,uri_ex_w1)
| ~ spl17_11 ),
inference(resolution,[],[f247,f99]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK12,X1)
| ~ iext(uri_owl_oneOf,X0,sK12)
| uri_ex_w2 = X2
| uri_ex_w3 = X2
| ~ icext(X0,X2)
| X1 = X2 ),
inference(resolution,[],[f228,f96]) ).
fof(f250,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,X0,sK12)
| uri_ex_w2 = X1
| uri_ex_w3 = X1
| ~ icext(X0,X1)
| uri_ex_w1 = X1 ),
inference(resolution,[],[f249,f98]) ).
fof(f251,plain,
! [X0] :
( ~ icext(uri_ex_c3,X0)
| uri_ex_w3 = X0
| uri_ex_w2 = X0
| uri_ex_w1 = X0 ),
inference(resolution,[],[f250,f99]) ).
fof(f256,plain,
! [X0] :
( uri_ex_w3 = sK7(uri_ex_c3,X0)
| uri_ex_w2 = sK7(uri_ex_c3,X0)
| uri_ex_w1 = sK7(uri_ex_c3,X0)
| icext(X0,sK7(uri_ex_c3,X0))
| ~ ic(X0)
| ~ ic(uri_ex_c3)
| iext(uri_owl_equivalentClass,uri_ex_c3,X0) ),
inference(resolution,[],[f251,f85]) ).
fof(f257,plain,
! [X0] :
( icext(X0,sK7(uri_ex_c3,X0))
| uri_ex_w2 = sK7(uri_ex_c3,X0)
| uri_ex_w1 = sK7(uri_ex_c3,X0)
| uri_ex_w3 = sK7(uri_ex_c3,X0)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,uri_ex_c3,X0) ),
inference(forward_subsumption_resolution,[],[f256,f120]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,sK9)
| ~ iext(uri_rdf_first,sK9,X3)
| icext(X0,X2) ),
inference(resolution,[],[f105,f110]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,sK9)
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| X0 = X1
| ~ iext(uri_rdf_first,sK9,X0)
| X1 = X4 ),
inference(resolution,[],[f105,f62]) ).
fof(f386,definition,
( spl17_39
<=> ! [X3] : ~ iext(uri_rdf_first,sK9,X3) ),
introduced(definition,[new_symbols(definition,[spl17_39])],[avatar_definition]) ).
fof(f387,plain,
( ! [X3] : ~ iext(uri_rdf_first,sK9,X3)
| ~ spl17_39 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f389,definition,
( spl17_40
<=> ! [X2,X0,X1] :
( ~ iext(uri_owl_oneOf,X0,X1)
| icext(X0,X2)
| ~ iext(uri_rdf_rest,X1,sK9)
| ~ iext(uri_rdf_first,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl17_40])],[avatar_definition]) ).
fof(f390,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK9)
| icext(X0,X2)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2) )
| ~ spl17_40 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f391,plain,
( spl17_39
| spl17_40 ),
inference(avatar_split_clause,[],[f382,f389,f386]) ).
fof(f393,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK9,X3)
| ~ iext(uri_owl_oneOf,X0,sK8)
| ~ iext(uri_rdf_first,sK8,X2)
| X1 = X3
| ~ icext(X0,X1)
| X1 = X2 ),
inference(resolution,[],[f384,f107]) ).
fof(f397,plain,
( $false
| ~ spl17_39 ),
inference(resolution,[],[f387,f106]) ).
fof(f398,plain,
~ spl17_39,
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f407,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK8,X1)
| ~ iext(uri_owl_oneOf,X0,sK8)
| icext(X0,X1) )
| ~ spl17_40 ),
inference(resolution,[],[f390,f107]) ).
fof(f409,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK8,X1)
| ~ iext(uri_owl_oneOf,X0,sK8)
| uri_ex_w2 = X2
| ~ icext(X0,X2)
| X1 = X2 ),
inference(resolution,[],[f393,f106]) ).
fof(f410,plain,
( ! [X0] :
( ~ iext(uri_owl_oneOf,X0,sK8)
| icext(X0,uri_ex_w1) )
| ~ spl17_40 ),
inference(resolution,[],[f407,f108]) ).
fof(f411,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,X0,sK8)
| uri_ex_w2 = X1
| ~ icext(X0,X1)
| uri_ex_w1 = X1 ),
inference(resolution,[],[f409,f108]) ).
fof(f412,plain,
! [X0] :
( ~ icext(uri_ex_c1,X0)
| uri_ex_w2 = X0
| uri_ex_w1 = X0 ),
inference(resolution,[],[f411,f109]) ).
fof(f437,plain,
( icext(uri_ex_c1,uri_ex_w1)
| ~ spl17_40 ),
inference(resolution,[],[f410,f109]) ).
fof(f443,plain,
( icext(uri_ex_c4,uri_ex_w1)
| ~ spl17_40 ),
inference(resolution,[],[f437,f158]) ).
fof(f458,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK11)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,sK11,X3)
| icext(X0,X3) ),
inference(resolution,[],[f100,f111]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,sK11)
| ~ iext(uri_rdf_first,sK11,X3)
| icext(X0,X2) ),
inference(resolution,[],[f100,f110]) ).
fof(f461,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,sK11)
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| X0 = X1
| ~ iext(uri_rdf_first,sK11,X0)
| X1 = X4 ),
inference(resolution,[],[f100,f62]) ).
fof(f463,definition,
( spl17_45
<=> ! [X3] : ~ iext(uri_rdf_first,sK11,X3) ),
introduced(definition,[new_symbols(definition,[spl17_45])],[avatar_definition]) ).
fof(f464,plain,
( ! [X3] : ~ iext(uri_rdf_first,sK11,X3)
| ~ spl17_45 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f466,definition,
( spl17_46
<=> ! [X2,X0,X1] :
( ~ iext(uri_owl_oneOf,X0,X1)
| icext(X0,X2)
| ~ iext(uri_rdf_rest,X1,sK11)
| ~ iext(uri_rdf_first,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl17_46])],[avatar_definition]) ).
fof(f467,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK11)
| icext(X0,X2)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2) )
| ~ spl17_46 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f468,plain,
( spl17_45
| spl17_46 ),
inference(avatar_split_clause,[],[f459,f466,f463]) ).
fof(f469,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK10,X0)
| ~ iext(uri_owl_oneOf,X1,sK10)
| ~ iext(uri_rdf_first,sK11,X2)
| icext(X1,X2) ),
inference(resolution,[],[f458,f102]) ).
fof(f470,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X3)
| ~ iext(uri_owl_oneOf,X0,sK10)
| ~ iext(uri_rdf_first,sK10,X2)
| X1 = X3
| ~ icext(X0,X1)
| X1 = X2 ),
inference(resolution,[],[f461,f102]) ).
fof(f474,plain,
( $false
| ~ spl17_45 ),
inference(resolution,[],[f464,f101]) ).
fof(f475,plain,
~ spl17_45,
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f477,definition,
( spl17_47
<=> ! [X2,X1] :
( ~ iext(uri_owl_oneOf,X1,sK10)
| icext(X1,X2)
| ~ iext(uri_rdf_first,sK11,X2) ) ),
introduced(definition,[new_symbols(definition,[spl17_47])],[avatar_definition]) ).
fof(f478,plain,
( ! [X2,X1] :
( ~ iext(uri_rdf_first,sK11,X2)
| icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,sK10) )
| ~ spl17_47 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f480,definition,
( spl17_48
<=> ! [X0] : ~ iext(uri_rdf_first,sK10,X0) ),
introduced(definition,[new_symbols(definition,[spl17_48])],[avatar_definition]) ).
fof(f481,plain,
( ! [X0] : ~ iext(uri_rdf_first,sK10,X0)
| ~ spl17_48 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( spl17_47
| spl17_48 ),
inference(avatar_split_clause,[],[f469,f480,f477]) ).
fof(f484,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_owl_oneOf,X0,sK10)
| icext(X0,X1) )
| ~ spl17_46 ),
inference(resolution,[],[f467,f102]) ).
fof(f486,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_owl_oneOf,X0,sK10)
| uri_ex_w3 = X2
| ~ icext(X0,X2)
| X1 = X2 ),
inference(resolution,[],[f470,f101]) ).
fof(f487,plain,
( ! [X0] :
( ~ iext(uri_owl_oneOf,X0,sK10)
| icext(X0,uri_ex_w2) )
| ~ spl17_46 ),
inference(resolution,[],[f484,f103]) ).
fof(f488,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,X0,sK10)
| uri_ex_w3 = X1
| ~ icext(X0,X1)
| uri_ex_w2 = X1 ),
inference(resolution,[],[f486,f103]) ).
fof(f489,plain,
! [X0] :
( ~ icext(uri_ex_c2,X0)
| uri_ex_w3 = X0
| uri_ex_w2 = X0 ),
inference(resolution,[],[f488,f104]) ).
fof(f504,plain,
( ! [X0] :
( ~ iext(uri_owl_oneOf,X0,sK10)
| icext(X0,uri_ex_w3) )
| ~ spl17_47 ),
inference(resolution,[],[f478,f101]) ).
fof(f518,plain,
( icext(uri_ex_c2,uri_ex_w2)
| ~ spl17_46 ),
inference(resolution,[],[f487,f104]) ).
fof(f520,plain,
( icext(uri_ex_c4,uri_ex_w2)
| ~ spl17_46 ),
inference(resolution,[],[f518,f159]) ).
fof(f521,plain,
( icext(uri_ex_c2,uri_ex_w3)
| ~ spl17_47 ),
inference(resolution,[],[f504,f104]) ).
fof(f533,plain,
( icext(uri_ex_c4,uri_ex_w3)
| ~ spl17_47 ),
inference(resolution,[],[f521,f159]) ).
fof(f555,plain,
( icext(uri_ex_c2,sK7(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c1,sK7(uri_ex_c3,uri_ex_c4))
| uri_ex_w2 = sK7(uri_ex_c3,uri_ex_c4)
| uri_ex_w1 = sK7(uri_ex_c3,uri_ex_c4)
| uri_ex_w3 = sK7(uri_ex_c3,uri_ex_c4)
| ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4) ),
inference(resolution,[],[f157,f257]) ).
fof(f556,plain,
( icext(uri_ex_c2,sK7(uri_ex_c3,uri_ex_c4))
| uri_ex_w2 = sK7(uri_ex_c3,uri_ex_c4)
| uri_ex_w1 = sK7(uri_ex_c3,uri_ex_c4)
| uri_ex_w3 = sK7(uri_ex_c3,uri_ex_c4)
| ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4) ),
inference(forward_subsumption_resolution,[],[f555,f412]) ).
fof(f596,plain,
( uri_ex_w2 = sK7(uri_ex_c3,uri_ex_c4)
| uri_ex_w1 = sK7(uri_ex_c3,uri_ex_c4)
| uri_ex_w3 = sK7(uri_ex_c3,uri_ex_c4)
| ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4) ),
inference(forward_subsumption_resolution,[],[f556,f489]) ).
fof(f598,plain,
( uri_ex_w2 = sK7(uri_ex_c3,uri_ex_c4)
| uri_ex_w1 = sK7(uri_ex_c3,uri_ex_c4)
| uri_ex_w3 = sK7(uri_ex_c3,uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4) ),
inference(forward_subsumption_resolution,[],[f596,f119]) ).
fof(f600,plain,
( uri_ex_w2 = sK7(uri_ex_c3,uri_ex_c4)
| uri_ex_w1 = sK7(uri_ex_c3,uri_ex_c4)
| uri_ex_w3 = sK7(uri_ex_c3,uri_ex_c4) ),
inference(forward_subsumption_resolution,[],[f598,f87]) ).
fof(f619,definition,
( spl17_63
<=> uri_ex_w3 = sK7(uri_ex_c3,uri_ex_c4) ),
introduced(definition,[new_symbols(definition,[spl17_63])],[avatar_definition]) ).
fof(f621,plain,
( uri_ex_w3 = sK7(uri_ex_c3,uri_ex_c4)
| ~ spl17_63 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f623,definition,
( spl17_64
<=> uri_ex_w1 = sK7(uri_ex_c3,uri_ex_c4) ),
introduced(definition,[new_symbols(definition,[spl17_64])],[avatar_definition]) ).
fof(f625,plain,
( uri_ex_w1 = sK7(uri_ex_c3,uri_ex_c4)
| ~ spl17_64 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f627,definition,
( spl17_65
<=> uri_ex_w2 = sK7(uri_ex_c3,uri_ex_c4) ),
introduced(definition,[new_symbols(definition,[spl17_65])],[avatar_definition]) ).
fof(f629,plain,
( uri_ex_w2 = sK7(uri_ex_c3,uri_ex_c4)
| ~ spl17_65 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f630,plain,
( spl17_63
| spl17_64
| spl17_65 ),
inference(avatar_split_clause,[],[f600,f627,f623,f619]) ).
fof(f633,plain,
( ~ icext(uri_ex_c4,uri_ex_w3)
| ~ ic(uri_ex_c3)
| ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w3)
| ~ spl17_63 ),
inference(superposition,[],[f86,f621]) ).
fof(f634,plain,
( ~ ic(uri_ex_c3)
| ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w3)
| ~ spl17_47
| ~ spl17_63 ),
inference(forward_subsumption_resolution,[],[f633,f533]) ).
fof(f635,plain,
( ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w3)
| ~ spl17_47
| ~ spl17_63 ),
inference(forward_subsumption_resolution,[],[f634,f120]) ).
fof(f636,plain,
( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w3)
| ~ spl17_47
| ~ spl17_63 ),
inference(forward_subsumption_resolution,[],[f635,f119]) ).
fof(f637,plain,
( ~ icext(uri_ex_c3,uri_ex_w3)
| ~ spl17_47
| ~ spl17_63 ),
inference(forward_subsumption_resolution,[],[f636,f87]) ).
fof(f638,plain,
( $false
| ~ spl17_10
| ~ spl17_47
| ~ spl17_63 ),
inference(forward_subsumption_resolution,[],[f637,f246]) ).
fof(f639,plain,
( ~ spl17_10
| ~ spl17_47
| ~ spl17_63 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f754,plain,
( ~ icext(uri_ex_c4,uri_ex_w1)
| ~ ic(uri_ex_c3)
| ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w1)
| ~ spl17_64 ),
inference(superposition,[],[f86,f625]) ).
fof(f755,plain,
( ~ ic(uri_ex_c3)
| ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w1)
| ~ spl17_40
| ~ spl17_64 ),
inference(forward_subsumption_resolution,[],[f754,f443]) ).
fof(f756,plain,
( ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w1)
| ~ spl17_40
| ~ spl17_64 ),
inference(forward_subsumption_resolution,[],[f755,f120]) ).
fof(f757,plain,
( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w1)
| ~ spl17_40
| ~ spl17_64 ),
inference(forward_subsumption_resolution,[],[f756,f119]) ).
fof(f758,plain,
( ~ icext(uri_ex_c3,uri_ex_w1)
| ~ spl17_40
| ~ spl17_64 ),
inference(forward_subsumption_resolution,[],[f757,f87]) ).
fof(f759,plain,
( $false
| ~ spl17_11
| ~ spl17_40
| ~ spl17_64 ),
inference(forward_subsumption_resolution,[],[f758,f248]) ).
fof(f760,plain,
( ~ spl17_11
| ~ spl17_40
| ~ spl17_64 ),
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f763,plain,
( ~ icext(uri_ex_c4,uri_ex_w2)
| ~ ic(uri_ex_c3)
| ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w2)
| ~ spl17_65 ),
inference(superposition,[],[f86,f629]) ).
fof(f764,plain,
( ~ ic(uri_ex_c3)
| ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w2)
| ~ spl17_46
| ~ spl17_65 ),
inference(forward_subsumption_resolution,[],[f763,f520]) ).
fof(f765,plain,
( ~ ic(uri_ex_c4)
| iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w2)
| ~ spl17_46
| ~ spl17_65 ),
inference(forward_subsumption_resolution,[],[f764,f120]) ).
fof(f766,plain,
( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ icext(uri_ex_c3,uri_ex_w2)
| ~ spl17_46
| ~ spl17_65 ),
inference(forward_subsumption_resolution,[],[f765,f119]) ).
fof(f767,plain,
( ~ icext(uri_ex_c3,uri_ex_w2)
| ~ spl17_46
| ~ spl17_65 ),
inference(forward_subsumption_resolution,[],[f766,f87]) ).
fof(f768,plain,
( $false
| ~ spl17_12
| ~ spl17_46
| ~ spl17_65 ),
inference(forward_subsumption_resolution,[],[f767,f244]) ).
fof(f769,plain,
( ~ spl17_12
| ~ spl17_46
| ~ spl17_65 ),
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f1119,plain,
( $false
| ~ spl17_48 ),
inference(resolution,[],[f481,f103]) ).
fof(f1120,plain,
~ spl17_48,
inference(avatar_contradiction_clause,[],[f1119]) ).
cnf(s4,plain,
~ spl17_5,
inference(sat_conversion,[],[f190]) ).
cnf(s6,plain,
( spl17_8
| spl17_9
| spl17_10 ),
inference(sat_conversion,[],[f217]) ).
cnf(s7,plain,
( spl17_5
| spl17_8
| spl17_11 ),
inference(sat_conversion,[],[f221]) ).
cnf(s8,plain,
( spl17_5
| spl17_9
| spl17_12 ),
inference(sat_conversion,[],[f225]) ).
cnf(s9,plain,
~ spl17_9,
inference(sat_conversion,[],[f227]) ).
cnf(s11,plain,
~ spl17_8,
inference(sat_conversion,[],[f242]) ).
cnf(s17,plain,
( spl17_39
| spl17_40 ),
inference(sat_conversion,[],[f391]) ).
cnf(s18,plain,
~ spl17_39,
inference(sat_conversion,[],[f398]) ).
cnf(s23,plain,
( spl17_45
| spl17_46 ),
inference(sat_conversion,[],[f468]) ).
cnf(s24,plain,
~ spl17_45,
inference(sat_conversion,[],[f475]) ).
cnf(s25,plain,
( spl17_47
| spl17_48 ),
inference(sat_conversion,[],[f482]) ).
cnf(s34,plain,
( spl17_63
| spl17_64
| spl17_65 ),
inference(sat_conversion,[],[f630]) ).
cnf(s35,plain,
( ~ spl17_10
| ~ spl17_47
| ~ spl17_63 ),
inference(sat_conversion,[],[f639]) ).
cnf(s43,plain,
( ~ spl17_11
| ~ spl17_40
| ~ spl17_64 ),
inference(sat_conversion,[],[f760]) ).
cnf(s44,plain,
( ~ spl17_12
| ~ spl17_46
| ~ spl17_65 ),
inference(sat_conversion,[],[f769]) ).
cnf(s64,plain,
~ spl17_48,
inference(sat_conversion,[],[f1120]) ).
cnf(s65,plain,
spl17_47,
inference(rat,[],[s25,s64]) ).
cnf(s66,plain,
spl17_46,
inference(rat,[],[s23,s24]) ).
cnf(s68,plain,
spl17_40,
inference(rat,[],[s17,s18]) ).
cnf(s69,plain,
( spl17_5
| spl17_12 ),
inference(rat,[],[s8,s9]) ).
cnf(s70,plain,
( spl17_5
| spl17_11 ),
inference(rat,[],[s7,s11]) ).
cnf(s71,plain,
spl17_10,
inference(rat,[],[s6,s9,s11]) ).
cnf(s72,plain,
~ spl17_63,
inference(rat,[],[s35,s65,s71]) ).
cnf(s74,plain,
spl17_12,
inference(rat,[],[s69,s4]) ).
cnf(s75,plain,
spl17_11,
inference(rat,[],[s70,s4]) ).
cnf(s76,plain,
~ spl17_65,
inference(rat,[],[s44,s66,s74]) ).
cnf(s77,plain,
~ spl17_64,
inference(rat,[],[s43,s68,s75]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s34,s72,s76,s77]) ).
fof(f1121,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB021+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:04:16 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.87/1.76 % (1596161)Detected formulas, will run a generic FOF schedule.
% 6.87/1.76 % (1596172)dis-21_1_sil=8000:lcm=predicate:random_seed=3802484087: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)
% 6.87/1.76 % (1596168)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=3284159904:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.87/1.76 % (1596171)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=591054098:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.87/1.76 % (1596166)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=3514152936:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.87/1.76 % (1596169)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2455224447:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.87/1.76 % (1596167)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=1359399801:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.87/1.76 % (1596170)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=912720185:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.87/1.76 % (1596169)Refutation not found, incomplete strategy
% 6.87/1.76 % (1596169)------------------------------
% 6.87/1.76 % (1596169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596169)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596169)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.76 % (1596169)Time elapsed: 0.001 s
% 6.87/1.76 % (1596169)Peak memory usage: 87 MB
% 6.87/1.76 % (1596170)Refutation not found, incomplete strategy
% 6.87/1.76 % (1596170)------------------------------
% 6.87/1.76 % (1596170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596170)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596170)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.76 % (1596170)Time elapsed: 0.001 s
% 6.87/1.76 % (1596170)Peak memory usage: 88 MB
% 6.87/1.76 % (1596172)Instruction limit reached!
% 6.87/1.76 % (1596172)------------------------------
% 6.87/1.76 % (1596172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596172)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596172)Termination reason: Instruction limit
% 6.87/1.76 % (1596172)Termination phase: Saturation
% 6.87/1.76 % (1596172)Time elapsed: 0.038 s
% 6.87/1.76 % (1596172)Peak memory usage: 89 MB
% 6.87/1.76 % (1596172)Instructions burned: 129 (million)
% 6.87/1.76 % (1596171)Instruction limit reached!
% 6.87/1.76 % (1596171)------------------------------
% 6.87/1.76 % (1596171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596171)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596171)Termination reason: Instruction limit
% 6.87/1.76 % (1596171)Termination phase: Saturation
% 6.87/1.76 % (1596171)Time elapsed: 0.086 s
% 6.87/1.76 % (1596171)Peak memory usage: 89 MB
% 6.87/1.76 % (1596171)Instructions burned: 140 (million)
% 6.87/1.76 % (1596180)lrs+10_1_sil=8000:sp=occurrence:random_seed=544721651:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.87/1.76 % (1596180)Instruction limit reached!
% 6.87/1.76 % (1596180)------------------------------
% 6.87/1.76 % (1596180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596180)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596180)Termination reason: Instruction limit
% 6.87/1.76 % (1596180)Termination phase: Saturation
% 6.87/1.76 % (1596180)Time elapsed: 0.077 s
% 6.87/1.76 % (1596180)Peak memory usage: 90 MB
% 6.87/1.76 % (1596180)Instructions burned: 285 (million)
% 6.87/1.76 % (1596181)lrs+10_1_sil=32000:urr=on:br=off:random_seed=808612684:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.87/1.76 % (1596181)Refutation not found, incomplete strategy
% 6.87/1.76 % (1596181)------------------------------
% 6.87/1.76 % (1596181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596181)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596181)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.76 % (1596181)Time elapsed: 0.010 s
% 6.87/1.76 % (1596181)Peak memory usage: 88 MB
% 6.87/1.76 % (1596181)Instructions burned: 17 (million)
% 6.87/1.76 % (1596169)------------------------------
% 6.87/1.76 % (1596169)------------------------------
% 6.87/1.76 % (1596170)------------------------------
% 6.87/1.76 % (1596170)------------------------------
% 6.87/1.76 % (1596183)lrs+1011_1_sil=32000:sp=occurrence:random_seed=947627796:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.87/1.76 % (1596183)Instruction limit reached!
% 6.87/1.76 % (1596183)------------------------------
% 6.87/1.76 % (1596183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596183)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596183)Termination reason: Instruction limit
% 6.87/1.76 % (1596183)Termination phase: Saturation
% 6.87/1.76 % (1596183)Time elapsed: 0.115 s
% 6.87/1.76 % (1596183)Peak memory usage: 91 MB
% 6.87/1.76 % (1596183)Instructions burned: 325 (million)
% 6.87/1.76 % (1596185)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=4117503180:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.87/1.76 % (1596186)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3062132013:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.87/1.76 % (1596186)Refutation not found, incomplete strategy
% 6.87/1.76 % (1596186)------------------------------
% 6.87/1.76 % (1596186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596186)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596186)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.76 % (1596186)Time elapsed: 0.002 s
% 6.87/1.76 % (1596186)Peak memory usage: 88 MB
% 6.87/1.76 % (1596186)Instructions burned: 2 (million)
% 6.87/1.76 % (1596185)Refutation not found, incomplete strategy
% 6.87/1.76 % (1596185)------------------------------
% 6.87/1.76 % (1596185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596185)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596185)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.76 % (1596185)Time elapsed: 0.013 s
% 6.87/1.76 % (1596185)Peak memory usage: 88 MB
% 6.87/1.76 % (1596185)Instructions burned: 23 (million)
% 6.87/1.76 % (1596181)------------------------------
% 6.87/1.76 % (1596181)------------------------------
% 6.87/1.76 % (1596188)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1387623752:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.87/1.76 % (1596192)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=894537337:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.87/1.76 % (1596186)------------------------------
% 6.87/1.76 % (1596186)------------------------------
% 6.87/1.76 % (1596185)------------------------------
% 6.87/1.76 % (1596185)------------------------------
% 6.87/1.76 % (1596192)Instruction limit reached!
% 6.87/1.76 % (1596192)------------------------------
% 6.87/1.76 % (1596192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596192)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596192)Termination reason: Instruction limit
% 6.87/1.76 % (1596192)Termination phase: Saturation
% 6.87/1.76 % (1596192)Time elapsed: 0.072 s
% 6.87/1.76 % (1596192)Peak memory usage: 89 MB
% 6.87/1.76 % (1596192)Instructions burned: 113 (million)
% 6.87/1.76 % (1596166)First to succeed.
% 6.87/1.76 % (1596166)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1596161"
% 6.87/1.76 % (1596167)Also succeeded, but the first one will report.
% 6.87/1.76 % (1596194)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1096487557:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.87/1.76 % (1596195)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1607403391:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.87/1.76 % (1596196)lrs+10_1_sil=8000:sp=occurrence:random_seed=897321852:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.87/1.76 % (1596194)Instruction limit reached!
% 6.87/1.76 % (1596194)------------------------------
% 6.87/1.76 % (1596194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596194)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596194)Termination reason: Instruction limit
% 6.87/1.76 % (1596194)Termination phase: Saturation
% 6.87/1.76 % (1596194)Time elapsed: 0.060 s
% 6.87/1.76 % (1596194)Peak memory usage: 89 MB
% 6.87/1.76 % (1596194)Instructions burned: 127 (million)
% 6.87/1.76 % (1596195)Instruction limit reached!
% 6.87/1.76 % (1596195)------------------------------
% 6.87/1.76 % (1596195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596195)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596195)Termination reason: Instruction limit
% 6.87/1.76 % (1596195)Termination phase: Saturation
% 6.87/1.76 % (1596195)Time elapsed: 0.061 s
% 6.87/1.76 % (1596195)Peak memory usage: 89 MB
% 6.87/1.76 % (1596195)Instructions burned: 115 (million)
% 6.87/1.76 % (1596188)Also succeeded, but the first one will report.
% 6.87/1.76 % (1596200)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1789748335:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.87/1.76 % (1596200)Refutation not found, incomplete strategy
% 6.87/1.76 % (1596200)------------------------------
% 6.87/1.76 % (1596200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.76 % (1596200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.76 % (1596200)CaDiCaL version: 2.1.3
% 6.87/1.76 % (1596200)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.76 % (1596200)Time elapsed: 0.003 s
% 6.87/1.76 % (1596200)Peak memory usage: 88 MB
% 6.87/1.76 % (1596200)Instructions burned: 3 (million)
% 6.87/1.76 % (1596166)Refutation found. Thanks to Tanya!
% 6.87/1.76 % SZS status Theorem for theBenchmark
% 6.87/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.31/1.86 % (1596166)------------------------------
% 8.31/1.86 % (1596166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.86 % (1596166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.86 % (1596166)CaDiCaL version: 2.1.3
% 8.31/1.86 % (1596166)Termination reason: Refutation
% 8.31/1.86 % (1596166)Time elapsed: 0.735 s
% 8.31/1.86 % (1596166)Peak memory usage: 130 MB
% 8.31/1.86 % (1596166)Instructions burned: 1062 (million)
% 8.31/1.86 % (1596166)------------------------------
% 8.31/1.86 % (1596166)------------------------------
% 8.31/1.86 % (1596161)Success in time 1.142 s
% 8.31/1.86 % Vampire exiting
%------------------------------------------------------------------------------