TSTP Solution File: SWB051+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWB051+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:09:34 EDT 2023
% Result : Theorem 267.14s 36.03s
% Output : CNFRefutation 267.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 265 ( 51 unt; 0 def)
% Number of atoms : 1182 ( 374 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 1553 ( 636 ~; 692 |; 189 &)
% ( 22 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 18 con; 0-3 aty)
% Number of variables : 561 ( 8 sgn; 189 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( iext(X1,X0,X2)
=> ip(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).
fof(f25,axiom,
! [X3,X4] :
( iext(uri_rdf_type,X3,X4)
<=> icext(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f296,axiom,
! [X10,X11,X20,X13,X21] :
( ( iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_rdf_first,X13,X21)
& iext(uri_rdf_rest,X11,X13)
& iext(uri_rdf_first,X11,X20) )
=> ( iext(uri_owl_oneOf,X10,X11)
<=> ( ! [X3] :
( icext(X10,X3)
<=> ( X3 = X21
| X3 = X20 ) )
& ic(X10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_002) ).
fof(f341,axiom,
! [X1,X4] :
( iext(uri_rdfs_domain,X1,X4)
<=> ( ! [X3,X6] :
( iext(X1,X3,X6)
=> icext(X4,X3) )
& ic(X4)
& ip(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_domain) ).
fof(f342,axiom,
! [X1,X4] :
( iext(uri_rdfs_range,X1,X4)
<=> ( ! [X3,X6] :
( iext(X1,X3,X6)
=> icext(X4,X6) )
& ip(X4)
& ip(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_range) ).
fof(f345,axiom,
! [X3,X6] :
( iext(uri_owl_differentFrom,X3,X6)
<=> X3 != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
fof(f398,axiom,
! [X1] :
( icext(uri_owl_TransitiveProperty,X1)
<=> ( ! [X3,X6,X10] :
( ( iext(X1,X6,X10)
& iext(X1,X3,X6) )
=> iext(X1,X3,X10) )
& ip(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_transitive) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_transitive_ext) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(negated_conjecture,[],[f559]) ).
fof(f561,axiom,
? [X41,X42,X43,X36,X37,X44] :
( iext(uri_owl_oneOf,X37,X41)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_rdf_rest,X36,X43)
& iext(uri_rdf_first,X36,uri_ex_x)
& iext(uri_rdf_rest,X41,X44)
& iext(uri_rdf_first,X41,uri_ex_x)
& iext(uri_rdf_rest,X44,uri_rdf_nil)
& iext(uri_rdf_first,X44,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdf_rest,X43,uri_rdf_nil)
& iext(uri_rdf_first,X43,uri_ex_y)
& iext(uri_rdfs_range,uri_ex_p,X37)
& iext(uri_rdfs_domain,uri_ex_p,X42)
& iext(uri_owl_oneOf,X42,X36) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_char_transitive_ext) ).
fof(f565,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f707,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( X4 = X5
| X2 = X5 ) )
& ic(X0) ) ) ),
inference(rectify,[],[f296]) ).
fof(f752,plain,
! [X0,X1] :
( iext(uri_rdfs_domain,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> icext(X1,X2) )
& ic(X1)
& ip(X0) ) ),
inference(rectify,[],[f341]) ).
fof(f753,plain,
! [X0,X1] :
( iext(uri_rdfs_range,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> icext(X1,X3) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f342]) ).
fof(f756,plain,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
<=> X0 != X1 ),
inference(rectify,[],[f345]) ).
fof(f801,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(X0,X1,X2) )
=> iext(X0,X1,X3) )
& ip(X0) ) ),
inference(rectify,[],[f398]) ).
fof(f920,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(flattening,[],[f560]) ).
fof(f921,plain,
? [X0,X1,X2,X3,X4,X5] :
( iext(uri_owl_oneOf,X4,X0)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_rdf_rest,X3,X2)
& iext(uri_rdf_first,X3,uri_ex_x)
& iext(uri_rdf_rest,X0,X5)
& iext(uri_rdf_first,X0,uri_ex_x)
& iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_rdf_first,X5,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_y)
& iext(uri_rdfs_range,uri_ex_p,X4)
& iext(uri_rdfs_domain,uri_ex_p,X1)
& iext(uri_owl_oneOf,X1,X3) ),
inference(rectify,[],[f561]) ).
fof(f922,plain,
! [X0,X1,X2] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1048,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( X4 = X5
| X2 = X5 ) )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f707]) ).
fof(f1049,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( X4 = X5
| X2 = X5 ) )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f1048]) ).
fof(f1138,plain,
! [X0,X1] :
( iext(uri_rdfs_domain,X0,X1)
<=> ( ! [X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3) )
& ic(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f752]) ).
fof(f1139,plain,
! [X0,X1] :
( iext(uri_rdfs_range,X0,X1)
<=> ( ! [X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f753]) ).
fof(f1202,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X2) )
& ip(X0) ) ),
inference(ennf_transformation,[],[f801]) ).
fof(f1203,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X2) )
& ip(X0) ) ),
inference(flattening,[],[f1202]) ).
fof(f1410,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f565]) ).
fof(f1503,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X5] :
( ( ( X4 != X5
& X2 != X5 )
| ~ icext(X0,X5) )
& ( X4 = X5
| X2 = X5
| icext(X0,X5) ) )
| ~ ic(X0) )
& ( ( ! [X5] :
( ( icext(X0,X5)
| ( X4 != X5
& X2 != X5 ) )
& ( X4 = X5
| X2 = X5
| ~ icext(X0,X5) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(nnf_transformation,[],[f1049]) ).
fof(f1504,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X5] :
( ( ( X4 != X5
& X2 != X5 )
| ~ icext(X0,X5) )
& ( X4 = X5
| X2 = X5
| icext(X0,X5) ) )
| ~ ic(X0) )
& ( ( ! [X5] :
( ( icext(X0,X5)
| ( X4 != X5
& X2 != X5 ) )
& ( X4 = X5
| X2 = X5
| ~ icext(X0,X5) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f1503]) ).
fof(f1505,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X5] :
( ( ( X4 != X5
& X2 != X5 )
| ~ icext(X0,X5) )
& ( X4 = X5
| X2 = X5
| icext(X0,X5) ) )
| ~ ic(X0) )
& ( ( ! [X6] :
( ( icext(X0,X6)
| ( X4 != X6
& X2 != X6 ) )
& ( X4 = X6
| X2 = X6
| ~ icext(X0,X6) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(rectify,[],[f1504]) ).
fof(f1506,plain,
! [X0,X2,X4] :
( ? [X5] :
( ( ( X4 != X5
& X2 != X5 )
| ~ icext(X0,X5) )
& ( X4 = X5
| X2 = X5
| icext(X0,X5) ) )
=> ( ( ( sK63(X0,X2,X4) != X4
& sK63(X0,X2,X4) != X2 )
| ~ icext(X0,sK63(X0,X2,X4)) )
& ( sK63(X0,X2,X4) = X4
| sK63(X0,X2,X4) = X2
| icext(X0,sK63(X0,X2,X4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1507,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ( ( ( sK63(X0,X2,X4) != X4
& sK63(X0,X2,X4) != X2 )
| ~ icext(X0,sK63(X0,X2,X4)) )
& ( sK63(X0,X2,X4) = X4
| sK63(X0,X2,X4) = X2
| icext(X0,sK63(X0,X2,X4)) ) )
| ~ ic(X0) )
& ( ( ! [X6] :
( ( icext(X0,X6)
| ( X4 != X6
& X2 != X6 ) )
& ( X4 = X6
| X2 = X6
| ~ icext(X0,X6) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f1505,f1506]) ).
fof(f1710,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) )
| ~ ic(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3) )
& ic(X1)
& ip(X0) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(nnf_transformation,[],[f1138]) ).
fof(f1711,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) )
| ~ ic(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3) )
& ic(X1)
& ip(X0) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(flattening,[],[f1710]) ).
fof(f1712,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) )
| ~ ic(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( icext(X1,X4)
| ~ iext(X0,X4,X5) )
& ic(X1)
& ip(X0) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(rectify,[],[f1711]) ).
fof(f1713,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) )
=> ( ~ icext(X1,sK163(X0,X1))
& iext(X0,sK163(X0,X1),sK164(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f1714,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ( ~ icext(X1,sK163(X0,X1))
& iext(X0,sK163(X0,X1),sK164(X0,X1)) )
| ~ ic(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( icext(X1,X4)
| ~ iext(X0,X4,X5) )
& ic(X1)
& ip(X0) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK163,sK164])],[f1712,f1713]) ).
fof(f1715,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(nnf_transformation,[],[f1139]) ).
fof(f1716,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(flattening,[],[f1715]) ).
fof(f1717,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( icext(X1,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(rectify,[],[f1716]) ).
fof(f1718,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) )
=> ( ~ icext(X1,sK166(X0,X1))
& iext(X0,sK165(X0,X1),sK166(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f1719,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ( ~ icext(X1,sK166(X0,X1))
& iext(X0,sK165(X0,X1),sK166(X0,X1)) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( icext(X1,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK165,sK166])],[f1717,f1718]) ).
fof(f1730,plain,
! [X0,X1] :
( ( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ) ),
inference(nnf_transformation,[],[f756]) ).
fof(f1888,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ? [X1,X2,X3] :
( ~ iext(X0,X1,X3)
& iext(X0,X2,X3)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X2) )
& ip(X0) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(nnf_transformation,[],[f1203]) ).
fof(f1889,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ? [X1,X2,X3] :
( ~ iext(X0,X1,X3)
& iext(X0,X2,X3)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X2) )
& ip(X0) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(flattening,[],[f1888]) ).
fof(f1890,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ? [X1,X2,X3] :
( ~ iext(X0,X1,X3)
& iext(X0,X2,X3)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X4,X5,X6] :
( iext(X0,X4,X6)
| ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X5) )
& ip(X0) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(rectify,[],[f1889]) ).
fof(f1891,plain,
! [X0] :
( ? [X1,X2,X3] :
( ~ iext(X0,X1,X3)
& iext(X0,X2,X3)
& iext(X0,X1,X2) )
=> ( ~ iext(X0,sK232(X0),sK234(X0))
& iext(X0,sK233(X0),sK234(X0))
& iext(X0,sK232(X0),sK233(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1892,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ( ~ iext(X0,sK232(X0),sK234(X0))
& iext(X0,sK233(X0),sK234(X0))
& iext(X0,sK232(X0),sK233(X0)) )
| ~ ip(X0) )
& ( ( ! [X4,X5,X6] :
( iext(X0,X4,X6)
| ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X5) )
& ip(X0) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK232,sK233,sK234])],[f1890,f1891]) ).
fof(f1920,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( iext(uri_owl_oneOf,X4,X0)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_rdf_rest,X3,X2)
& iext(uri_rdf_first,X3,uri_ex_x)
& iext(uri_rdf_rest,X0,X5)
& iext(uri_rdf_first,X0,uri_ex_x)
& iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_rdf_first,X5,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_y)
& iext(uri_rdfs_range,uri_ex_p,X4)
& iext(uri_rdfs_domain,uri_ex_p,X1)
& iext(uri_owl_oneOf,X1,X3) )
=> ( iext(uri_owl_oneOf,sK255,sK251)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_rdf_rest,sK254,sK253)
& iext(uri_rdf_first,sK254,uri_ex_x)
& iext(uri_rdf_rest,sK251,sK256)
& iext(uri_rdf_first,sK251,uri_ex_x)
& iext(uri_rdf_rest,sK256,uri_rdf_nil)
& iext(uri_rdf_first,sK256,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdf_rest,sK253,uri_rdf_nil)
& iext(uri_rdf_first,sK253,uri_ex_y)
& iext(uri_rdfs_range,uri_ex_p,sK255)
& iext(uri_rdfs_domain,uri_ex_p,sK252)
& iext(uri_owl_oneOf,sK252,sK254) ) ),
introduced(choice_axiom,[]) ).
fof(f1921,plain,
( iext(uri_owl_oneOf,sK255,sK251)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_rdf_rest,sK254,sK253)
& iext(uri_rdf_first,sK254,uri_ex_x)
& iext(uri_rdf_rest,sK251,sK256)
& iext(uri_rdf_first,sK251,uri_ex_x)
& iext(uri_rdf_rest,sK256,uri_rdf_nil)
& iext(uri_rdf_first,sK256,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdf_rest,sK253,uri_rdf_nil)
& iext(uri_rdf_first,sK253,uri_ex_y)
& iext(uri_rdfs_range,uri_ex_p,sK255)
& iext(uri_rdfs_domain,uri_ex_p,sK252)
& iext(uri_owl_oneOf,sK252,sK254) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK251,sK252,sK253,sK254,sK255,sK256])],[f921,f1920]) ).
fof(f1922,plain,
! [X2,X0,X1] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(cnf_transformation,[],[f922]) ).
fof(f1948,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f1410]) ).
fof(f2384,plain,
! [X2,X3,X0,X1,X6,X4] :
( X4 = X6
| X2 = X6
| ~ icext(X0,X6)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f1507]) ).
fof(f2764,plain,
! [X0,X1,X4,X5] :
( icext(X1,X4)
| ~ iext(X0,X4,X5)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(cnf_transformation,[],[f1714]) ).
fof(f2769,plain,
! [X0,X1,X4,X5] :
( icext(X1,X5)
| ~ iext(X0,X4,X5)
| ~ iext(uri_rdfs_range,X0,X1) ),
inference(cnf_transformation,[],[f1719]) ).
fof(f2782,plain,
! [X0,X1] :
( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ),
inference(cnf_transformation,[],[f1730]) ).
fof(f2783,plain,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f1730]) ).
fof(f2995,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
| iext(X0,sK232(X0),sK233(X0))
| ~ ip(X0) ),
inference(cnf_transformation,[],[f1892]) ).
fof(f2996,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
| iext(X0,sK233(X0),sK234(X0))
| ~ ip(X0) ),
inference(cnf_transformation,[],[f1892]) ).
fof(f2997,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
| ~ iext(X0,sK232(X0),sK234(X0))
| ~ ip(X0) ),
inference(cnf_transformation,[],[f1892]) ).
fof(f3211,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(cnf_transformation,[],[f920]) ).
fof(f3212,plain,
iext(uri_owl_oneOf,sK252,sK254),
inference(cnf_transformation,[],[f1921]) ).
fof(f3213,plain,
iext(uri_rdfs_domain,uri_ex_p,sK252),
inference(cnf_transformation,[],[f1921]) ).
fof(f3214,plain,
iext(uri_rdfs_range,uri_ex_p,sK255),
inference(cnf_transformation,[],[f1921]) ).
fof(f3215,plain,
iext(uri_rdf_first,sK253,uri_ex_y),
inference(cnf_transformation,[],[f1921]) ).
fof(f3216,plain,
iext(uri_rdf_rest,sK253,uri_rdf_nil),
inference(cnf_transformation,[],[f1921]) ).
fof(f3217,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_y),
inference(cnf_transformation,[],[f1921]) ).
fof(f3218,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_x),
inference(cnf_transformation,[],[f1921]) ).
fof(f3219,plain,
iext(uri_rdf_first,sK256,uri_ex_y),
inference(cnf_transformation,[],[f1921]) ).
fof(f3220,plain,
iext(uri_rdf_rest,sK256,uri_rdf_nil),
inference(cnf_transformation,[],[f1921]) ).
fof(f3221,plain,
iext(uri_rdf_first,sK251,uri_ex_x),
inference(cnf_transformation,[],[f1921]) ).
fof(f3222,plain,
iext(uri_rdf_rest,sK251,sK256),
inference(cnf_transformation,[],[f1921]) ).
fof(f3223,plain,
iext(uri_rdf_first,sK254,uri_ex_x),
inference(cnf_transformation,[],[f1921]) ).
fof(f3224,plain,
iext(uri_rdf_rest,sK254,sK253),
inference(cnf_transformation,[],[f1921]) ).
fof(f3225,plain,
iext(uri_ex_p,uri_ex_y,uri_ex_x),
inference(cnf_transformation,[],[f1921]) ).
fof(f3226,plain,
iext(uri_ex_p,uri_ex_y,uri_ex_y),
inference(cnf_transformation,[],[f1921]) ).
fof(f3227,plain,
iext(uri_owl_oneOf,sK255,sK251),
inference(cnf_transformation,[],[f1921]) ).
fof(f3234,plain,
! [X1] : ~ iext(uri_owl_differentFrom,X1,X1),
inference(equality_resolution,[],[f2782]) ).
cnf(c_49,plain,
( ~ iext(X0,X1,X2)
| ip(X0) ),
inference(cnf_transformation,[],[f1922]) ).
cnf(c_74,plain,
( ~ icext(X0,X1)
| iext(uri_rdf_type,X1,X0) ),
inference(cnf_transformation,[],[f1948]) ).
cnf(c_515,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ icext(X4,X5)
| X1 = X5
| X3 = X5 ),
inference(cnf_transformation,[],[f2384]) ).
cnf(c_891,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_rdfs_domain,X0,X3)
| icext(X3,X1) ),
inference(cnf_transformation,[],[f2764]) ).
cnf(c_896,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_rdfs_range,X0,X3)
| icext(X3,X2) ),
inference(cnf_transformation,[],[f2769]) ).
cnf(c_909,plain,
( X0 = X1
| iext(uri_owl_differentFrom,X0,X1) ),
inference(cnf_transformation,[],[f2783]) ).
cnf(c_910,plain,
~ iext(uri_owl_differentFrom,X0,X0),
inference(cnf_transformation,[],[f3234]) ).
cnf(c_1108,plain,
( ~ iext(X0,sK232(X0),sK234(X0))
| ~ ip(X0)
| icext(uri_owl_TransitiveProperty,X0) ),
inference(cnf_transformation,[],[f2997]) ).
cnf(c_1109,plain,
( ~ ip(X0)
| iext(X0,sK233(X0),sK234(X0))
| icext(uri_owl_TransitiveProperty,X0) ),
inference(cnf_transformation,[],[f2996]) ).
cnf(c_1110,plain,
( ~ ip(X0)
| iext(X0,sK232(X0),sK233(X0))
| icext(uri_owl_TransitiveProperty,X0) ),
inference(cnf_transformation,[],[f2995]) ).
cnf(c_1326,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(cnf_transformation,[],[f3211]) ).
cnf(c_1327,plain,
iext(uri_owl_oneOf,sK255,sK251),
inference(cnf_transformation,[],[f3227]) ).
cnf(c_1328,plain,
iext(uri_ex_p,uri_ex_y,uri_ex_y),
inference(cnf_transformation,[],[f3226]) ).
cnf(c_1329,plain,
iext(uri_ex_p,uri_ex_y,uri_ex_x),
inference(cnf_transformation,[],[f3225]) ).
cnf(c_1330,plain,
iext(uri_rdf_rest,sK254,sK253),
inference(cnf_transformation,[],[f3224]) ).
cnf(c_1331,plain,
iext(uri_rdf_first,sK254,uri_ex_x),
inference(cnf_transformation,[],[f3223]) ).
cnf(c_1332,plain,
iext(uri_rdf_rest,sK251,sK256),
inference(cnf_transformation,[],[f3222]) ).
cnf(c_1333,plain,
iext(uri_rdf_first,sK251,uri_ex_x),
inference(cnf_transformation,[],[f3221]) ).
cnf(c_1334,plain,
iext(uri_rdf_rest,sK256,uri_rdf_nil),
inference(cnf_transformation,[],[f3220]) ).
cnf(c_1335,plain,
iext(uri_rdf_first,sK256,uri_ex_y),
inference(cnf_transformation,[],[f3219]) ).
cnf(c_1336,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_x),
inference(cnf_transformation,[],[f3218]) ).
cnf(c_1337,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_y),
inference(cnf_transformation,[],[f3217]) ).
cnf(c_1338,plain,
iext(uri_rdf_rest,sK253,uri_rdf_nil),
inference(cnf_transformation,[],[f3216]) ).
cnf(c_1339,plain,
iext(uri_rdf_first,sK253,uri_ex_y),
inference(cnf_transformation,[],[f3215]) ).
cnf(c_1340,plain,
iext(uri_rdfs_range,uri_ex_p,sK255),
inference(cnf_transformation,[],[f3214]) ).
cnf(c_1341,plain,
iext(uri_rdfs_domain,uri_ex_p,sK252),
inference(cnf_transformation,[],[f3213]) ).
cnf(c_1342,plain,
iext(uri_owl_oneOf,sK252,sK254),
inference(cnf_transformation,[],[f3212]) ).
cnf(c_1346,plain,
~ iext(uri_owl_differentFrom,uri_rdf_first,uri_rdf_first),
inference(instantiation,[status(thm)],[c_910]) ).
cnf(c_1565,plain,
( uri_rdf_first = uri_rdf_first
| iext(uri_owl_differentFrom,uri_rdf_first,uri_rdf_first) ),
inference(instantiation,[status(thm)],[c_909]) ).
cnf(c_2366,plain,
( ~ iext(X0,X1,X2)
| ip(X0) ),
inference(prop_impl_just,[status(thm)],[c_49]) ).
cnf(c_6413,plain,
( ~ iext(X0,sK232(X0),sK234(X0))
| icext(uri_owl_TransitiveProperty,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1108,c_2366]) ).
cnf(c_41726,plain,
( icext(uri_owl_TransitiveProperty,X0)
| ~ iext(X0,sK232(X0),sK234(X0)) ),
inference(prop_impl_just,[status(thm)],[c_6413]) ).
cnf(c_41727,plain,
( ~ iext(X0,sK232(X0),sK234(X0))
| icext(uri_owl_TransitiveProperty,X0) ),
inference(renaming,[status(thm)],[c_41726]) ).
cnf(c_79109,plain,
X0 = X0,
theory(equality) ).
cnf(c_79111,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_79113,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ iext(X1,X3,X5)
| iext(X0,X2,X4) ),
theory(equality) ).
cnf(c_79115,plain,
( X0 != X1
| X2 != X3
| ~ icext(X1,X3)
| icext(X0,X2) ),
theory(equality) ).
cnf(c_100666,plain,
~ icext(uri_owl_TransitiveProperty,uri_ex_p),
inference(superposition,[status(thm)],[c_74,c_1326]) ).
cnf(c_100708,plain,
ip(uri_ex_p),
inference(superposition,[status(thm)],[c_1328,c_49]) ).
cnf(c_100884,plain,
( ~ iext(uri_ex_p,X0,X1)
| ~ iext(uri_rdfs_domain,uri_ex_p,sK252)
| icext(sK252,X0) ),
inference(instantiation,[status(thm)],[c_891]) ).
cnf(c_100889,plain,
( ~ iext(uri_ex_p,X0,X1)
| ~ iext(uri_rdfs_range,uri_ex_p,sK255)
| icext(sK255,X1) ),
inference(instantiation,[status(thm)],[c_896]) ).
cnf(c_101064,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,sK255)
| ~ iext(uri_ex_p,uri_ex_y,uri_ex_y)
| icext(sK255,uri_ex_y) ),
inference(instantiation,[status(thm)],[c_100889]) ).
cnf(c_101065,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,sK255)
| ~ iext(uri_ex_p,uri_ex_y,uri_ex_x)
| icext(sK255,uri_ex_x) ),
inference(instantiation,[status(thm)],[c_100889]) ).
cnf(c_101078,plain,
( ~ ip(uri_ex_p)
| iext(uri_ex_p,sK233(uri_ex_p),sK234(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(instantiation,[status(thm)],[c_1109]) ).
cnf(c_101079,plain,
( ~ iext(uri_ex_p,sK233(uri_ex_p),sK234(uri_ex_p))
| ~ iext(uri_rdfs_range,uri_ex_p,sK255)
| icext(sK255,sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_100889]) ).
cnf(c_101102,plain,
( ~ ip(uri_ex_p)
| iext(uri_ex_p,sK232(uri_ex_p),sK233(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(instantiation,[status(thm)],[c_1110]) ).
cnf(c_101103,plain,
( ~ iext(uri_ex_p,sK232(uri_ex_p),sK233(uri_ex_p))
| ~ iext(uri_rdfs_range,uri_ex_p,sK255)
| icext(sK255,sK233(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_100889]) ).
cnf(c_101104,plain,
( ~ iext(uri_ex_p,sK232(uri_ex_p),sK233(uri_ex_p))
| ~ iext(uri_rdfs_domain,uri_ex_p,sK252)
| icext(sK252,sK232(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_100884]) ).
cnf(c_103493,plain,
( X0 != X1
| X2 != X3
| uri_ex_p != X4
| ~ iext(X4,X1,X3)
| iext(uri_ex_p,X0,X2) ),
inference(instantiation,[status(thm)],[c_79113]) ).
cnf(c_104506,plain,
sK234(X0) = sK234(X0),
inference(instantiation,[status(thm)],[c_79109]) ).
cnf(c_106882,plain,
( X0 != X1
| X2 != X3
| uri_ex_p != uri_ex_p
| ~ iext(uri_ex_p,X1,X3)
| iext(uri_ex_p,X0,X2) ),
inference(instantiation,[status(thm)],[c_103493]) ).
cnf(c_106883,plain,
uri_ex_p = uri_ex_p,
inference(instantiation,[status(thm)],[c_79109]) ).
cnf(c_108905,plain,
sK255 = sK255,
inference(instantiation,[status(thm)],[c_79109]) ).
cnf(c_110490,plain,
( X0 != uri_ex_y
| X1 != uri_ex_y
| uri_ex_p != uri_ex_p
| ~ iext(uri_ex_p,uri_ex_y,uri_ex_y)
| iext(uri_ex_p,X0,X1) ),
inference(instantiation,[status(thm)],[c_106882]) ).
cnf(c_110496,plain,
( X0 != uri_ex_x
| X1 != uri_ex_y
| uri_ex_p != uri_ex_p
| ~ iext(uri_ex_p,uri_ex_x,uri_ex_y)
| iext(uri_ex_p,X0,X1) ),
inference(instantiation,[status(thm)],[c_106882]) ).
cnf(c_112771,plain,
sK233(uri_ex_p) = sK233(uri_ex_p),
inference(instantiation,[status(thm)],[c_79109]) ).
cnf(c_114963,plain,
( ~ iext(uri_ex_p,sK232(uri_ex_p),sK234(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(instantiation,[status(thm)],[c_41727]) ).
cnf(c_117099,plain,
sK234(uri_ex_p) = sK234(uri_ex_p),
inference(instantiation,[status(thm)],[c_104506]) ).
cnf(c_138875,plain,
( sK234(uri_ex_p) != X0
| X1 != X0
| sK234(uri_ex_p) = X1 ),
inference(instantiation,[status(thm)],[c_79111]) ).
cnf(c_139163,plain,
sK232(uri_ex_p) = sK232(uri_ex_p),
inference(instantiation,[status(thm)],[c_79109]) ).
cnf(c_139164,plain,
( sK232(uri_ex_p) != X0
| X1 != X0
| sK232(uri_ex_p) = X1 ),
inference(instantiation,[status(thm)],[c_79111]) ).
cnf(c_139168,plain,
( sK234(uri_ex_p) != sK234(uri_ex_p)
| X0 != sK234(uri_ex_p)
| sK234(uri_ex_p) = X0 ),
inference(instantiation,[status(thm)],[c_138875]) ).
cnf(c_139607,plain,
( sK232(uri_ex_p) != sK232(uri_ex_p)
| X0 != sK232(uri_ex_p)
| sK232(uri_ex_p) = X0 ),
inference(instantiation,[status(thm)],[c_139164]) ).
cnf(c_150171,plain,
sK251 = sK251,
inference(instantiation,[status(thm)],[c_79109]) ).
cnf(c_171918,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ icext(X4,sK233(uri_ex_p))
| X1 = sK233(uri_ex_p)
| X3 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_515]) ).
cnf(c_182609,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ icext(X2,sK233(uri_ex_p))
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| X1 = sK233(uri_ex_p)
| X3 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_171918]) ).
cnf(c_183996,plain,
( X0 != uri_ex_p
| X1 != uri_ex_y
| X2 != uri_ex_x
| ~ iext(uri_ex_p,uri_ex_y,uri_ex_x)
| iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_79113]) ).
cnf(c_184003,plain,
( X0 != uri_ex_p
| X1 != uri_ex_x
| X2 != uri_ex_x
| ~ iext(uri_ex_p,uri_ex_x,uri_ex_x)
| iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_79113]) ).
cnf(c_185471,plain,
( X0 != uri_ex_p
| X1 != sK233(uri_ex_p)
| X2 != sK234(uri_ex_p)
| ~ iext(uri_ex_p,sK233(uri_ex_p),sK234(uri_ex_p))
| iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_79113]) ).
cnf(c_185615,plain,
( X0 != sK255
| X1 != uri_ex_y
| ~ icext(sK255,uri_ex_y)
| icext(X0,X1) ),
inference(instantiation,[status(thm)],[c_79115]) ).
cnf(c_185621,plain,
( X0 != sK255
| X1 != uri_ex_x
| ~ icext(sK255,uri_ex_x)
| icext(X0,X1) ),
inference(instantiation,[status(thm)],[c_79115]) ).
cnf(c_186794,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_owl_oneOf,X3,X0)
| ~ iext(uri_rdf_first,X2,uri_ex_y)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ icext(X3,X4)
| X1 = X4
| uri_ex_y = X4 ),
inference(instantiation,[status(thm)],[c_515]) ).
cnf(c_188683,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ icext(X4,sK233(uri_ex_p))
| X1 = sK233(uri_ex_p)
| X3 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_515]) ).
cnf(c_188686,plain,
( sK233(uri_ex_p) != X0
| X1 != X0
| X1 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_79111]) ).
cnf(c_188688,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ icext(X4,sK234(uri_ex_p))
| X1 = sK234(uri_ex_p)
| X3 = sK234(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_515]) ).
cnf(c_188689,plain,
( sK234(uri_ex_p) != sK234(uri_ex_p)
| X0 != uri_ex_p
| X1 != sK233(uri_ex_p)
| ~ iext(uri_ex_p,sK233(uri_ex_p),sK234(uri_ex_p))
| iext(X0,X1,sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_185471]) ).
cnf(c_189187,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK253)
| ~ iext(uri_rdf_first,sK253,uri_ex_y)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ icext(X2,X3)
| X1 = X3
| uri_ex_y = X3 ),
inference(instantiation,[status(thm)],[c_186794]) ).
cnf(c_190361,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ icext(X4,sK232(uri_ex_p))
| X1 = sK232(uri_ex_p)
| X3 = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_515]) ).
cnf(c_190835,plain,
( sK233(uri_ex_p) != X0
| X1 != X0
| sK233(uri_ex_p) = X1 ),
inference(instantiation,[status(thm)],[c_79111]) ).
cnf(c_190842,plain,
( sK234(uri_ex_p) != sK234(uri_ex_p)
| X0 != sK233(uri_ex_p)
| uri_ex_p != uri_ex_p
| ~ iext(uri_ex_p,sK233(uri_ex_p),sK234(uri_ex_p))
| iext(uri_ex_p,X0,sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_188689]) ).
cnf(c_190856,plain,
( sK234(uri_ex_p) != X0
| X1 != X0
| sK234(uri_ex_p) = X1 ),
inference(instantiation,[status(thm)],[c_79111]) ).
cnf(c_191979,plain,
( ~ iext(uri_rdf_first,sK254,X0)
| ~ iext(uri_owl_oneOf,X1,sK254)
| ~ iext(uri_rdf_first,sK253,uri_ex_y)
| ~ iext(uri_rdf_rest,sK254,sK253)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ icext(X1,X2)
| X0 = X2
| uri_ex_y = X2 ),
inference(instantiation,[status(thm)],[c_189187]) ).
cnf(c_192020,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ icext(X2,sK233(uri_ex_p))
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| X1 = sK233(uri_ex_p)
| X3 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_188683]) ).
cnf(c_192036,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ icext(X2,sK234(uri_ex_p))
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| X1 = sK234(uri_ex_p)
| X3 = sK234(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_188688]) ).
cnf(c_194013,plain,
( sK232(uri_ex_p) != X0
| X1 != X0
| sK232(uri_ex_p) = X1 ),
inference(instantiation,[status(thm)],[c_79111]) ).
cnf(c_194032,plain,
( sK233(uri_ex_p) != sK233(uri_ex_p)
| X0 != sK233(uri_ex_p)
| sK233(uri_ex_p) = X0 ),
inference(instantiation,[status(thm)],[c_190835]) ).
cnf(c_194038,plain,
( sK234(uri_ex_p) != sK234(uri_ex_p)
| X0 != sK234(uri_ex_p)
| sK234(uri_ex_p) = X0 ),
inference(instantiation,[status(thm)],[c_190856]) ).
cnf(c_194630,plain,
( ~ iext(uri_rdf_first,sK254,X0)
| ~ iext(uri_rdf_first,sK253,uri_ex_y)
| ~ iext(uri_rdf_rest,sK254,sK253)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,sK252,sK254)
| ~ icext(sK252,X1)
| X0 = X1
| uri_ex_y = X1 ),
inference(instantiation,[status(thm)],[c_191979]) ).
cnf(c_194651,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_owl_oneOf,X2,sK251)
| ~ icext(X2,sK233(uri_ex_p))
| ~ iext(uri_rdf_rest,sK251,sK256)
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| X0 = sK233(uri_ex_p)
| X1 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_192020]) ).
cnf(c_194655,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_owl_oneOf,X2,sK251)
| ~ icext(X2,sK234(uri_ex_p))
| ~ iext(uri_rdf_rest,sK251,sK256)
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| X0 = sK234(uri_ex_p)
| X1 = sK234(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_192036]) ).
cnf(c_194671,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ icext(X2,sK232(uri_ex_p))
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| X1 = sK232(uri_ex_p)
| X3 = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_190361]) ).
cnf(c_195900,plain,
( sK232(uri_ex_p) != sK232(uri_ex_p)
| X0 != sK232(uri_ex_p)
| sK232(uri_ex_p) = X0 ),
inference(instantiation,[status(thm)],[c_194013]) ).
cnf(c_195991,plain,
( ~ iext(uri_rdf_first,sK254,uri_ex_x)
| ~ iext(uri_rdf_first,sK253,uri_ex_y)
| ~ iext(uri_rdf_rest,sK254,sK253)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,sK252,sK254)
| ~ icext(sK252,X0)
| uri_ex_y = X0
| uri_ex_x = X0 ),
inference(instantiation,[status(thm)],[c_194630]) ).
cnf(c_196097,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_rdf_rest,sK251,sK256)
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,sK255,sK251)
| ~ icext(sK255,sK233(uri_ex_p))
| X0 = sK233(uri_ex_p)
| X1 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_194651]) ).
cnf(c_196101,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_rdf_rest,sK251,sK256)
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,sK255,sK251)
| ~ icext(sK255,sK234(uri_ex_p))
| X0 = sK234(uri_ex_p)
| X1 = sK234(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_194655]) ).
cnf(c_196179,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_owl_oneOf,X2,sK251)
| ~ icext(X2,sK232(uri_ex_p))
| ~ iext(uri_rdf_rest,sK251,sK256)
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| X0 = sK232(uri_ex_p)
| X1 = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_194671]) ).
cnf(c_196785,plain,
( sK234(uri_ex_p) != sK234(uri_ex_p)
| uri_ex_x != sK234(uri_ex_p)
| sK234(uri_ex_p) = uri_ex_x ),
inference(instantiation,[status(thm)],[c_194038]) ).
cnf(c_196793,plain,
( sK233(uri_ex_p) != sK233(uri_ex_p)
| uri_ex_x != sK233(uri_ex_p)
| sK233(uri_ex_p) = uri_ex_x ),
inference(instantiation,[status(thm)],[c_194032]) ).
cnf(c_197326,plain,
( sK232(uri_ex_p) != sK232(uri_ex_p)
| uri_ex_x != sK232(uri_ex_p)
| sK232(uri_ex_p) = uri_ex_x ),
inference(instantiation,[status(thm)],[c_195900]) ).
cnf(c_197451,plain,
( ~ iext(uri_rdf_first,sK254,uri_ex_x)
| ~ iext(uri_rdf_first,sK253,uri_ex_y)
| ~ iext(uri_rdf_rest,sK254,sK253)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,sK252,sK254)
| ~ icext(sK252,sK232(uri_ex_p))
| uri_ex_y = sK232(uri_ex_p)
| uri_ex_x = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_195991]) ).
cnf(c_197705,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_rdf_rest,sK251,sK256)
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,sK255,sK251)
| ~ icext(sK255,sK232(uri_ex_p))
| X0 = sK232(uri_ex_p)
| X1 = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_196179]) ).
cnf(c_198208,plain,
( sK232(uri_ex_p) != uri_ex_x
| X0 != sK255
| ~ icext(sK255,uri_ex_x)
| icext(X0,sK232(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_185621]) ).
cnf(c_199430,plain,
( sK232(uri_ex_p) != sK232(uri_ex_p)
| uri_ex_y != sK232(uri_ex_p)
| sK232(uri_ex_p) = uri_ex_y ),
inference(instantiation,[status(thm)],[c_195900]) ).
cnf(c_199853,plain,
( sK234(uri_ex_p) != uri_ex_x
| X0 != uri_ex_p
| X1 != uri_ex_x
| ~ iext(uri_ex_p,uri_ex_x,uri_ex_x)
| iext(X0,X1,sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_184003]) ).
cnf(c_199856,plain,
( sK234(uri_ex_p) != uri_ex_x
| X0 != uri_ex_p
| X1 != uri_ex_y
| ~ iext(uri_ex_p,uri_ex_y,uri_ex_x)
| iext(X0,X1,sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_183996]) ).
cnf(c_201571,plain,
( sK233(uri_ex_p) != sK233(uri_ex_p)
| uri_ex_y != sK233(uri_ex_p)
| sK233(uri_ex_p) = uri_ex_y ),
inference(instantiation,[status(thm)],[c_194032]) ).
cnf(c_202074,plain,
( sK232(uri_ex_p) != uri_ex_x
| sK255 != sK255
| ~ icext(sK255,uri_ex_x)
| icext(sK255,sK232(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_198208]) ).
cnf(c_202521,plain,
( sK234(uri_ex_p) != uri_ex_x
| X0 != uri_ex_x
| uri_ex_p != uri_ex_p
| ~ iext(uri_ex_p,uri_ex_x,uri_ex_x)
| iext(uri_ex_p,X0,sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_199853]) ).
cnf(c_203256,plain,
( sK233(uri_ex_p) != uri_ex_y
| X0 != uri_ex_y
| X0 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_188686]) ).
cnf(c_203638,plain,
( sK232(uri_ex_p) != uri_ex_y
| sK234(uri_ex_p) != uri_ex_x
| X0 != uri_ex_p
| ~ iext(uri_ex_p,uri_ex_y,uri_ex_x)
| iext(X0,sK232(uri_ex_p),sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_199856]) ).
cnf(c_203643,plain,
( sK232(uri_ex_p) != uri_ex_y
| X0 != sK255
| ~ icext(sK255,uri_ex_y)
| icext(X0,sK232(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_185615]) ).
cnf(c_208939,plain,
( sK232(uri_ex_p) != uri_ex_y
| sK255 != sK255
| ~ icext(sK255,uri_ex_y)
| icext(sK255,sK232(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_203643]) ).
cnf(c_211824,plain,
( sK232(uri_ex_p) != sK233(uri_ex_p)
| sK234(uri_ex_p) != sK234(uri_ex_p)
| uri_ex_p != uri_ex_p
| ~ iext(uri_ex_p,sK233(uri_ex_p),sK234(uri_ex_p))
| iext(uri_ex_p,sK232(uri_ex_p),sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_190842]) ).
cnf(c_211902,plain,
( sK232(uri_ex_p) != sK232(uri_ex_p)
| sK233(uri_ex_p) != sK232(uri_ex_p)
| sK232(uri_ex_p) = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_195900]) ).
cnf(c_217423,plain,
( sK232(uri_ex_p) != uri_ex_y
| sK234(uri_ex_p) != uri_ex_x
| uri_ex_p != uri_ex_p
| ~ iext(uri_ex_p,uri_ex_y,uri_ex_x)
| iext(uri_ex_p,sK232(uri_ex_p),sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_203638]) ).
cnf(c_220900,plain,
( X0 != X1
| X2 != X3
| uri_ex_p != X4
| ~ iext(X4,X1,X3)
| iext(uri_ex_p,X0,X2) ),
inference(instantiation,[status(thm)],[c_79113]) ).
cnf(c_222537,plain,
( X0 != X1
| X2 != X3
| uri_ex_p != uri_ex_p
| ~ iext(uri_ex_p,X1,X3)
| iext(uri_ex_p,X0,X2) ),
inference(instantiation,[status(thm)],[c_220900]) ).
cnf(c_224257,plain,
( X2 != X3
| X0 != X1
| ~ iext(uri_ex_p,X1,X3)
| iext(uri_ex_p,X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_222537,c_106882,c_106883]) ).
cnf(c_224258,plain,
( X0 != X1
| X2 != X3
| ~ iext(uri_ex_p,X1,X3)
| iext(uri_ex_p,X0,X2) ),
inference(renaming,[status(thm)],[c_224257]) ).
cnf(c_224262,plain,
( X0 != uri_ex_y
| X1 != uri_ex_y
| ~ iext(uri_ex_p,uri_ex_y,uri_ex_y)
| iext(uri_ex_p,X0,X1) ),
inference(instantiation,[status(thm)],[c_224258]) ).
cnf(c_224268,plain,
( X0 != uri_ex_x
| X1 != uri_ex_y
| ~ iext(uri_ex_p,uri_ex_x,uri_ex_y)
| iext(uri_ex_p,X0,X1) ),
inference(instantiation,[status(thm)],[c_224258]) ).
cnf(c_224270,plain,
( X0 != sK233(uri_ex_p)
| X1 != sK234(uri_ex_p)
| ~ iext(uri_ex_p,sK233(uri_ex_p),sK234(uri_ex_p))
| iext(uri_ex_p,X0,X1) ),
inference(instantiation,[status(thm)],[c_224258]) ).
cnf(c_224797,plain,
( X1 != sK234(uri_ex_p)
| X0 != sK233(uri_ex_p)
| iext(uri_ex_p,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_224270,c_100666,c_100708,c_101078,c_224270]) ).
cnf(c_224798,plain,
( X0 != sK233(uri_ex_p)
| X1 != sK234(uri_ex_p)
| iext(uri_ex_p,X0,X1) ),
inference(renaming,[status(thm)],[c_224797]) ).
cnf(c_224801,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ icext(X4,sK234(uri_ex_p))
| X1 = sK234(uri_ex_p)
| X3 = sK234(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_515]) ).
cnf(c_224802,plain,
( sK234(uri_ex_p) != sK234(uri_ex_p)
| X0 != sK233(uri_ex_p)
| iext(uri_ex_p,X0,sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_224798]) ).
cnf(c_224810,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ icext(X4,sK233(uri_ex_p))
| X1 = sK233(uri_ex_p)
| X3 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_515]) ).
cnf(c_225598,plain,
( X0 != X1
| X2 != X3
| sK251 != X4
| ~ iext(X1,X4,X3)
| iext(X0,sK251,X2) ),
inference(instantiation,[status(thm)],[c_79113]) ).
cnf(c_226306,plain,
( X1 != uri_ex_y
| X0 != uri_ex_y
| iext(uri_ex_p,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_224262,c_1328,c_106883,c_110490]) ).
cnf(c_226307,plain,
( X0 != uri_ex_y
| X1 != uri_ex_y
| iext(uri_ex_p,X0,X1) ),
inference(renaming,[status(thm)],[c_226306]) ).
cnf(c_226329,plain,
( X1 != uri_ex_y
| X0 != uri_ex_x
| iext(uri_ex_p,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_224268,c_1337,c_106883,c_110496]) ).
cnf(c_226330,plain,
( X0 != uri_ex_x
| X1 != uri_ex_y
| iext(uri_ex_p,X0,X1) ),
inference(renaming,[status(thm)],[c_226329]) ).
cnf(c_227893,plain,
( X0 != sK233(uri_ex_p)
| iext(uri_ex_p,X0,sK234(uri_ex_p)) ),
inference(global_subsumption_just,[status(thm)],[c_224802,c_117099,c_224802]) ).
cnf(c_227906,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ icext(X4,sK232(uri_ex_p))
| X1 = sK232(uri_ex_p)
| X3 = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_515]) ).
cnf(c_227959,plain,
( sK234(uri_ex_p) != X0
| X1 != X0
| sK234(uri_ex_p) = X1 ),
inference(instantiation,[status(thm)],[c_79111]) ).
cnf(c_227979,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ icext(X2,sK234(uri_ex_p))
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| X1 = sK234(uri_ex_p)
| X3 = sK234(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_224801]) ).
cnf(c_227984,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ icext(X2,sK233(uri_ex_p))
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| X1 = sK233(uri_ex_p)
| X3 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_224810]) ).
cnf(c_233151,plain,
( X0 != X1
| X2 != X3
| sK251 != sK251
| ~ iext(X1,sK251,X3)
| iext(X0,sK251,X2) ),
inference(instantiation,[status(thm)],[c_225598]) ).
cnf(c_233593,plain,
( sK232(uri_ex_p) != X0
| X1 != X0
| sK232(uri_ex_p) = X1 ),
inference(instantiation,[status(thm)],[c_79111]) ).
cnf(c_233620,plain,
( sK234(uri_ex_p) != sK234(uri_ex_p)
| X0 != sK234(uri_ex_p)
| sK234(uri_ex_p) = X0 ),
inference(instantiation,[status(thm)],[c_227959]) ).
cnf(c_233662,plain,
( ~ icext(X2,sK234(uri_ex_p))
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,X0,X1)
| X1 = sK234(uri_ex_p)
| X3 = sK234(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_227979,c_1334,c_192036]) ).
cnf(c_233663,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ icext(X2,sK234(uri_ex_p))
| X1 = sK234(uri_ex_p)
| X3 = sK234(uri_ex_p) ),
inference(renaming,[status(thm)],[c_233662]) ).
cnf(c_233668,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_owl_oneOf,X2,sK251)
| ~ icext(X2,sK234(uri_ex_p))
| ~ iext(uri_rdf_rest,sK251,sK256)
| X0 = sK234(uri_ex_p)
| X1 = sK234(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_233663]) ).
cnf(c_233678,plain,
( ~ icext(X2,sK233(uri_ex_p))
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,X0,X1)
| X1 = sK233(uri_ex_p)
| X3 = sK233(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_227984,c_1334,c_182609]) ).
cnf(c_233679,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ icext(X2,sK233(uri_ex_p))
| X1 = sK233(uri_ex_p)
| X3 = sK233(uri_ex_p) ),
inference(renaming,[status(thm)],[c_233678]) ).
cnf(c_233684,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_owl_oneOf,X2,sK251)
| ~ icext(X2,sK233(uri_ex_p))
| ~ iext(uri_rdf_rest,sK251,sK256)
| X0 = sK233(uri_ex_p)
| X1 = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_233679]) ).
cnf(c_233697,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ icext(X2,sK232(uri_ex_p))
| ~ iext(uri_rdf_rest,sK256,uri_rdf_nil)
| X1 = sK232(uri_ex_p)
| X3 = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_227906]) ).
cnf(c_238887,plain,
( X2 != X3
| X0 != X1
| ~ iext(X1,sK251,X3)
| iext(X0,sK251,X2) ),
inference(global_subsumption_just,[status(thm)],[c_233151,c_150171,c_233151]) ).
cnf(c_238888,plain,
( X0 != X1
| X2 != X3
| ~ iext(X1,sK251,X3)
| iext(X0,sK251,X2) ),
inference(renaming,[status(thm)],[c_238887]) ).
cnf(c_238916,plain,
( X0 != uri_rdf_first
| X1 != uri_ex_x
| ~ iext(uri_rdf_first,sK251,uri_ex_x)
| iext(X0,sK251,X1) ),
inference(instantiation,[status(thm)],[c_238888]) ).
cnf(c_239329,plain,
( X0 != sK234(uri_ex_p)
| sK234(uri_ex_p) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_233620,c_117099,c_139168]) ).
cnf(c_239460,plain,
( sK232(uri_ex_p) != sK232(uri_ex_p)
| X0 != sK232(uri_ex_p)
| sK232(uri_ex_p) = X0 ),
inference(instantiation,[status(thm)],[c_233593]) ).
cnf(c_239487,plain,
( ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_rdf_first,sK251,X0)
| X0 = sK234(uri_ex_p)
| X1 = sK234(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_233668,c_1340,c_1334,c_1332,c_1327,c_100666,c_100708,c_101078,c_101079,c_196101]) ).
cnf(c_239488,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| X0 = sK234(uri_ex_p)
| X1 = sK234(uri_ex_p) ),
inference(renaming,[status(thm)],[c_239487]) ).
cnf(c_239490,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,uri_ex_y)
| X0 = sK234(uri_ex_p)
| uri_ex_y = sK234(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_239488]) ).
cnf(c_239499,plain,
( ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_rdf_first,sK251,X0)
| X0 = sK233(uri_ex_p)
| X1 = sK233(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_233684,c_1340,c_1334,c_1332,c_1327,c_100666,c_100708,c_101102,c_101103,c_196097]) ).
cnf(c_239500,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| X0 = sK233(uri_ex_p)
| X1 = sK233(uri_ex_p) ),
inference(renaming,[status(thm)],[c_239499]) ).
cnf(c_239502,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,uri_ex_y)
| X0 = sK233(uri_ex_p)
| uri_ex_y = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_239500]) ).
cnf(c_239523,plain,
( ~ icext(X2,sK232(uri_ex_p))
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,X0,X1)
| X1 = sK232(uri_ex_p)
| X3 = sK232(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_233697,c_1334,c_194671]) ).
cnf(c_239524,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_first,sK256,X3)
| ~ iext(uri_rdf_rest,X0,sK256)
| ~ icext(X2,sK232(uri_ex_p))
| X1 = sK232(uri_ex_p)
| X3 = sK232(uri_ex_p) ),
inference(renaming,[status(thm)],[c_239523]) ).
cnf(c_239526,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_owl_oneOf,X2,sK251)
| ~ icext(X2,sK232(uri_ex_p))
| ~ iext(uri_rdf_rest,sK251,sK256)
| X0 = sK232(uri_ex_p)
| X1 = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_239524]) ).
cnf(c_244244,plain,
( X0 != sK232(uri_ex_p)
| sK232(uri_ex_p) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_239460,c_139163,c_139607]) ).
cnf(c_244380,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| X0 = sK234(uri_ex_p)
| uri_ex_y = sK234(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_239490,c_1335,c_239490]) ).
cnf(c_244383,plain,
( ~ iext(uri_rdf_first,sK251,uri_ex_x)
| uri_ex_y = sK234(uri_ex_p)
| uri_ex_x = sK234(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_244380]) ).
cnf(c_244392,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| X0 = sK233(uri_ex_p)
| uri_ex_y = sK233(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_239502,c_1335,c_239502]) ).
cnf(c_244395,plain,
( ~ iext(uri_rdf_first,sK251,uri_ex_x)
| uri_ex_y = sK233(uri_ex_p)
| uri_ex_x = sK233(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_244392]) ).
cnf(c_244417,plain,
( ~ iext(uri_rdf_first,sK256,X1)
| ~ iext(uri_rdf_first,sK251,X0)
| X0 = sK232(uri_ex_p)
| X1 = sK232(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_239526,c_1342,c_1341,c_1340,c_1339,c_1338,c_1334,c_1332,c_1331,c_1330,c_1329,c_1328,c_1327,c_100666,c_100708,c_101064,c_101065,c_101102,c_101104,c_108905,c_139163,c_197326,c_197451,c_197705,c_199430,c_202074,c_208939]) ).
cnf(c_244418,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,X1)
| X0 = sK232(uri_ex_p)
| X1 = sK232(uri_ex_p) ),
inference(renaming,[status(thm)],[c_244417]) ).
cnf(c_244420,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK256,uri_ex_y)
| X0 = sK232(uri_ex_p)
| uri_ex_y = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_244418]) ).
cnf(c_250028,plain,
( X1 != uri_ex_x
| X0 != uri_rdf_first
| iext(X0,sK251,X1) ),
inference(global_subsumption_just,[status(thm)],[c_238916,c_1333,c_238916]) ).
cnf(c_250029,plain,
( X0 != uri_rdf_first
| X1 != uri_ex_x
| iext(X0,sK251,X1) ),
inference(renaming,[status(thm)],[c_250028]) ).
cnf(c_251705,plain,
( uri_ex_y = sK234(uri_ex_p)
| uri_ex_x = sK234(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_244383,c_1333,c_244383]) ).
cnf(c_251719,plain,
( uri_ex_y != sK234(uri_ex_p)
| sK234(uri_ex_p) = uri_ex_y ),
inference(instantiation,[status(thm)],[c_239329]) ).
cnf(c_251725,plain,
( uri_ex_y = sK233(uri_ex_p)
| uri_ex_x = sK233(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_244395,c_1333,c_244395]) ).
cnf(c_251844,plain,
( ~ iext(uri_rdf_first,sK251,X0)
| X0 = sK232(uri_ex_p)
| uri_ex_y = sK232(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_244420,c_1335,c_244420]) ).
cnf(c_251847,plain,
( ~ iext(uri_rdf_first,sK251,uri_ex_x)
| uri_ex_y = sK232(uri_ex_p)
| uri_ex_x = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_251844]) ).
cnf(c_258926,plain,
( sK234(uri_ex_p) != uri_ex_y
| X0 != uri_ex_x
| iext(uri_ex_p,X0,sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_226330]) ).
cnf(c_258927,plain,
( sK234(uri_ex_p) != uri_ex_y
| X0 != uri_ex_y
| iext(uri_ex_p,X0,sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_226307]) ).
cnf(c_258979,plain,
( sK233(uri_ex_p) != uri_ex_x
| X0 != uri_rdf_first
| iext(X0,sK251,sK233(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_250029]) ).
cnf(c_258988,plain,
( sK233(uri_ex_p) != uri_ex_x
| uri_rdf_first != uri_rdf_first
| iext(uri_rdf_first,sK251,sK233(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_258979]) ).
cnf(c_259384,plain,
( uri_ex_y = sK232(uri_ex_p)
| uri_ex_x = sK232(uri_ex_p) ),
inference(global_subsumption_just,[status(thm)],[c_251847,c_1342,c_1341,c_1339,c_1338,c_1331,c_1330,c_100666,c_100708,c_101102,c_101104,c_197451]) ).
cnf(c_259388,plain,
( uri_ex_y != sK232(uri_ex_p)
| sK232(uri_ex_p) = uri_ex_y ),
inference(instantiation,[status(thm)],[c_244244]) ).
cnf(c_266310,plain,
( ~ iext(uri_rdf_first,sK251,sK233(uri_ex_p))
| sK233(uri_ex_p) = sK232(uri_ex_p)
| uri_ex_y = sK232(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_251844]) ).
cnf(c_266783,plain,
( X0 != uri_ex_x
| iext(uri_ex_p,X0,sK234(uri_ex_p)) ),
inference(global_subsumption_just,[status(thm)],[c_258926,c_1336,c_106883,c_117099,c_196785,c_202521,c_251705,c_251719,c_258926]) ).
cnf(c_266793,plain,
( X0 != uri_ex_y
| iext(uri_ex_p,X0,sK234(uri_ex_p)) ),
inference(global_subsumption_just,[status(thm)],[c_258927,c_1333,c_1329,c_1346,c_1565,c_100666,c_100708,c_101078,c_106883,c_112771,c_114963,c_117099,c_139163,c_196785,c_196793,c_199430,c_201571,c_203256,c_211824,c_211902,c_217423,c_227893,c_244383,c_251719,c_251725,c_258927,c_258988,c_266310]) ).
cnf(c_266803,plain,
( sK232(uri_ex_p) != uri_ex_y
| iext(uri_ex_p,sK232(uri_ex_p),sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_266793]) ).
cnf(c_270835,plain,
( sK232(uri_ex_p) != uri_ex_x
| iext(uri_ex_p,sK232(uri_ex_p),sK234(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_266783]) ).
cnf(c_270847,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_270835,c_266803,c_259388,c_259384,c_197326,c_139163,c_114963,c_100666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB051+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 07:11:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 267.14/36.03 % SZS status Started for theBenchmark.p
% 267.14/36.03 % SZS status Theorem for theBenchmark.p
% 267.14/36.03
% 267.14/36.03 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 267.14/36.03
% 267.14/36.03 ------ iProver source info
% 267.14/36.03
% 267.14/36.03 git: date: 2023-05-31 18:12:56 +0000
% 267.14/36.03 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 267.14/36.03 git: non_committed_changes: false
% 267.14/36.03 git: last_make_outside_of_git: false
% 267.14/36.03
% 267.14/36.03 ------ Parsing...
% 267.14/36.03 ------ Clausification by vclausify_rel & Parsing by iProver...
% 267.14/36.03
% 267.14/36.03 ------ Preprocessing... sup_sim: 0 sf_s rm: 2 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
% 267.14/36.03
% 267.14/36.03 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 267.14/36.03
% 267.14/36.03 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 267.14/36.03 ------ Proving...
% 267.14/36.03 ------ Problem Properties
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03 clauses 1185
% 267.14/36.03 conjectures 1
% 267.14/36.03 EPR 725
% 267.14/36.03 Horn 916
% 267.14/36.03 unary 241
% 267.14/36.03 binary 455
% 267.14/36.03 lits 3746
% 267.14/36.03 lits eq 197
% 267.14/36.03 fd_pure 0
% 267.14/36.03 fd_pseudo 0
% 267.14/36.03 fd_cond 0
% 267.14/36.03 fd_pseudo_cond 66
% 267.14/36.03 AC symbols 0
% 267.14/36.03
% 267.14/36.03 ------ Input Options Time Limit: Unbounded
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03 ------
% 267.14/36.03 Current options:
% 267.14/36.03 ------
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03 ------ Proving...
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03 ------ Proving...
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03 ------ Proving...
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03 ------ Proving...
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03 ------ Proving...
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03 ------ Proving...
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03 ------ Proving...
% 267.14/36.03
% 267.14/36.03
% 267.14/36.03 % SZS status Theorem for theBenchmark.p
% 267.14/36.03
% 267.14/36.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 267.14/36.04
% 267.14/36.04
%------------------------------------------------------------------------------