TSTP Solution File: SWB027+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWB027+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n005.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 : Wed Aug 31 18:37:28 EDT 2022
% Result : Theorem 1.80s 0.61s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 11
% Syntax : Number of formulae : 76 ( 15 unt; 0 def)
% Number of atoms : 412 ( 26 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 506 ( 170 ~; 177 |; 134 &)
% ( 15 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 236 ( 192 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f195,plain,
$false,
inference(subsumption_resolution,[],[f194,f50]) ).
fof(f50,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(flattening,[],[f7]) ).
fof(f7,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
fof(f194,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(resolution,[],[f191,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ icext(X0,X1)
| iext(uri_rdf_type,X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) )
& ( icext(X0,X1)
| ~ iext(uri_rdf_type,X1,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f191,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(subsumption_resolution,[],[f190,f72]) ).
fof(f72,plain,
ip(uri_ex_p),
inference(resolution,[],[f67,f58]) ).
fof(f58,plain,
iext(uri_owl_inverseOf,sK8,uri_ex_p),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( iext(uri_rdf_first,sK6,sK8)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK7)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_owl_inverseOf,sK8,uri_ex_p)
& iext(uri_rdf_rest,sK7,sK6)
& iext(uri_rdf_first,sK7,uri_ex_p) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f31,f32]) ).
fof(f32,plain,
( ? [X0,X1,X2] :
( iext(uri_rdf_first,X0,X2)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X1)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_inverseOf,X2,uri_ex_p)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X1,uri_ex_p) )
=> ( iext(uri_rdf_first,sK6,sK8)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK7)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_owl_inverseOf,sK8,uri_ex_p)
& iext(uri_rdf_rest,sK7,sK6)
& iext(uri_rdf_first,sK7,uri_ex_p) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2] :
( iext(uri_rdf_first,X0,X2)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X1)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_inverseOf,X2,uri_ex_p)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X1,uri_ex_p) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
? [X2,X1,X0] :
( iext(uri_rdf_first,X2,X0)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X1)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_owl_inverseOf,X0,uri_ex_p)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_ex_p) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
? [X15,X13,X14] :
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X13)
& iext(uri_rdf_rest,X13,X14)
& iext(uri_rdf_rest,X14,uri_rdf_nil)
& iext(uri_rdf_first,X13,uri_ex_p)
& iext(uri_rdf_first,X14,X15)
& iext(uri_owl_inverseOf,X15,uri_ex_p) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
fof(f67,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ip(X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X1)
| ~ ip(X0)
| ( ( ~ iext(X0,sK10(X0,X1),sK9(X0,X1))
| ~ iext(X1,sK9(X0,X1),sK10(X0,X1)) )
& ( iext(X0,sK10(X0,X1),sK9(X0,X1))
| iext(X1,sK9(X0,X1),sK10(X0,X1)) ) ) )
& ( ( ip(X1)
& ip(X0)
& ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f38,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) )
=> ( ( ~ iext(X0,sK10(X0,X1),sK9(X0,X1))
| ~ iext(X1,sK9(X0,X1),sK10(X0,X1)) )
& ( iext(X0,sK10(X0,X1),sK9(X0,X1))
| iext(X1,sK9(X0,X1),sK10(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X1)
| ~ ip(X0)
| ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) ) )
& ( ( ip(X1)
& ip(X0)
& ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X1)
| ~ ip(X0)
| ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) ) )
& ( ( ip(X1)
& ip(X0)
& ! [X2,X3] :
( ( iext(X1,X2,X3)
| ~ iext(X0,X3,X2) )
& ( iext(X0,X3,X2)
| ~ iext(X1,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X1)
| ~ ip(X0)
| ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) ) )
& ( ( ip(X1)
& ip(X0)
& ! [X2,X3] :
( ( iext(X1,X2,X3)
| ~ iext(X0,X3,X2) )
& ( iext(X0,X3,X2)
| ~ iext(X1,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ip(X1)
& ip(X0)
& ! [X2,X3] :
( iext(X1,X2,X3)
<=> iext(X0,X3,X2) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X5,X7] :
( iext(uri_owl_inverseOf,X5,X7)
<=> ( ip(X7)
& ip(X5)
& ! [X2,X0] :
( iext(X5,X0,X2)
<=> iext(X7,X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f190,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(trivial_inequality_removal,[],[f189]) ).
fof(f189,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| sK3(uri_ex_p) != sK3(uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(superposition,[],[f55,f182]) ).
fof(f182,plain,
sK3(uri_ex_p) = sK4(uri_ex_p),
inference(subsumption_resolution,[],[f181,f50]) ).
fof(f181,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)
| sK3(uri_ex_p) = sK4(uri_ex_p) ),
inference(resolution,[],[f178,f42]) ).
fof(f178,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| sK3(uri_ex_p) = sK4(uri_ex_p) ),
inference(resolution,[],[f175,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X1,X0)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X1,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2] :
( X0 = X2
<=> iext(uri_owl_sameAs,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f175,plain,
( iext(uri_owl_sameAs,sK4(uri_ex_p),sK3(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(duplicate_literal_removal,[],[f173]) ).
fof(f173,plain,
( iext(uri_owl_sameAs,sK4(uri_ex_p),sK3(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[],[f162,f75]) ).
fof(f75,plain,
( iext(uri_ex_p,sK4(uri_ex_p),sK5(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[],[f53,f72]) ).
fof(f53,plain,
! [X0] :
( ~ ip(X0)
| iext(X0,sK4(X0),sK5(X0))
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ( sK3(X0) != sK4(X0)
& iext(X0,sK3(X0),sK5(X0))
& iext(X0,sK4(X0),sK5(X0)) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f28,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) )
=> ( sK3(X0) != sK4(X0)
& iext(X0,sK3(X0),sK5(X0))
& iext(X0,sK4(X0),sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X3,X1,X2] :
( X1 != X3
& iext(X0,X3,X2)
& iext(X0,X1,X2) ) )
& ( ( ip(X0)
& ! [X3,X1,X2] :
( X1 = X3
| ~ iext(X0,X3,X2)
| ~ iext(X0,X1,X2) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X3,X1,X2] :
( X1 != X3
& iext(X0,X3,X2)
& iext(X0,X1,X2) ) )
& ( ( ip(X0)
& ! [X3,X1,X2] :
( X1 = X3
| ~ iext(X0,X3,X2)
| ~ iext(X0,X1,X2) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X3,X1,X2] :
( X1 = X3
| ~ iext(X0,X3,X2)
| ~ iext(X0,X1,X2) ) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X3,X2] :
( X1 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X3,X2) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X3,X2] :
( ( iext(X0,X1,X2)
& iext(X0,X3,X2) )
=> X1 = X3 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X3] :
( ( ! [X12,X2,X11] :
( ( iext(X3,X12,X2)
& iext(X3,X11,X2) )
=> X11 = X12 )
& ip(X3) )
<=> icext(uri_owl_InverseFunctionalProperty,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f162,plain,
! [X0] :
( ~ iext(uri_ex_p,X0,sK5(uri_ex_p))
| iext(uri_owl_sameAs,X0,sK3(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[],[f157,f77]) ).
fof(f77,plain,
( iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[],[f54,f72]) ).
fof(f54,plain,
! [X0] :
( ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK3(X0),sK5(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_p,X1,X2)
| iext(uri_owl_sameAs,X0,X1)
| ~ iext(uri_ex_p,X0,X2) ),
inference(resolution,[],[f156,f78]) ).
fof(f78,plain,
! [X0,X1] :
( iext(sK8,X0,X1)
| ~ iext(uri_ex_p,X1,X0) ),
inference(resolution,[],[f64,f58]) ).
fof(f64,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ),
inference(cnf_transformation,[],[f40]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ iext(sK8,X0,X1)
| iext(uri_owl_sameAs,X2,X1)
| ~ iext(uri_ex_p,X2,X0) ),
inference(resolution,[],[f155,f61]) ).
fof(f61,plain,
iext(uri_rdf_first,sK6,sK8),
inference(cnf_transformation,[],[f33]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_ex_p,X3,X1)
| iext(uri_owl_sameAs,X3,X2) ),
inference(resolution,[],[f154,f56]) ).
fof(f56,plain,
iext(uri_rdf_first,sK7,uri_ex_p),
inference(cnf_transformation,[],[f33]) ).
fof(f154,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK7,X3)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X3,X4,X1)
| iext(uri_owl_sameAs,X4,X2) ),
inference(resolution,[],[f102,f60]) ).
fof(f60,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK7),
inference(cnf_transformation,[],[f33]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_owl_propertyChainAxiom,X0,sK7)
| ~ iext(X3,X4,X2)
| ~ iext(uri_rdf_first,sK7,X5)
| ~ iext(uri_rdf_first,sK6,X3)
| iext(X0,X1,X2)
| ~ iext(X5,X1,X4) ),
inference(resolution,[],[f91,f57]) ).
fof(f57,plain,
iext(uri_rdf_rest,sK7,sK6),
inference(cnf_transformation,[],[f33]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X0,sK6)
| iext(X1,X2,X3)
| ~ iext(uri_rdf_first,sK6,X6)
| ~ iext(uri_owl_propertyChainAxiom,X1,X0)
| ~ iext(X6,X5,X3)
| ~ iext(uri_rdf_first,X0,X4)
| ~ iext(X4,X2,X5) ),
inference(resolution,[],[f43,f59]) ).
fof(f59,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f33]) ).
fof(f43,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X4,X1)
| iext(X0,X9,X10)
| ~ iext(uri_owl_propertyChainAxiom,X0,X4)
| ~ iext(X3,X9,X8)
| ~ iext(X2,X8,X10)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_first,X4,X3) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X4,X1)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( iext(uri_owl_propertyChainAxiom,X0,X4)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X3)
| ( iext(X2,sK0(X0,X2,X3),sK2(X0,X2,X3))
& ~ iext(X0,sK1(X0,X2,X3),sK2(X0,X2,X3))
& iext(X3,sK1(X0,X2,X3),sK0(X0,X2,X3)) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X3)
& ! [X8,X9,X10] :
( ~ iext(X2,X8,X10)
| iext(X0,X9,X10)
| ~ iext(X3,X9,X8) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f24]) ).
fof(f24,plain,
! [X0,X2,X3] :
( ? [X5,X6,X7] :
( iext(X2,X5,X7)
& ~ iext(X0,X6,X7)
& iext(X3,X6,X5) )
=> ( iext(X2,sK0(X0,X2,X3),sK2(X0,X2,X3))
& ~ iext(X0,sK1(X0,X2,X3),sK2(X0,X2,X3))
& iext(X3,sK1(X0,X2,X3),sK0(X0,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X4,X1)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( iext(uri_owl_propertyChainAxiom,X0,X4)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X3)
| ? [X5,X6,X7] :
( iext(X2,X5,X7)
& ~ iext(X0,X6,X7)
& iext(X3,X6,X5) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X3)
& ! [X8,X9,X10] :
( ~ iext(X2,X8,X10)
| iext(X0,X9,X10)
| ~ iext(X3,X9,X8) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X4) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X3,X2,X0,X4,X1] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_first,X2,X0)
| ( ( iext(uri_owl_propertyChainAxiom,X3,X1)
| ~ ip(X3)
| ~ ip(X0)
| ~ ip(X4)
| ? [X7,X6,X5] :
( iext(X0,X7,X5)
& ~ iext(X3,X6,X5)
& iext(X4,X6,X7) ) )
& ( ( ip(X3)
& ip(X0)
& ip(X4)
& ! [X7,X6,X5] :
( ~ iext(X0,X7,X5)
| iext(X3,X6,X5)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X3,X1) ) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X3,X2,X0,X4,X1] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_first,X2,X0)
| ( ( iext(uri_owl_propertyChainAxiom,X3,X1)
| ~ ip(X3)
| ~ ip(X0)
| ~ ip(X4)
| ? [X7,X6,X5] :
( iext(X0,X7,X5)
& ~ iext(X3,X6,X5)
& iext(X4,X6,X7) ) )
& ( ( ip(X3)
& ip(X0)
& ip(X4)
& ! [X7,X6,X5] :
( ~ iext(X0,X7,X5)
| iext(X3,X6,X5)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X3,X1) ) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X3,X2,X0,X4,X1] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_first,X2,X0)
| ( iext(uri_owl_propertyChainAxiom,X3,X1)
<=> ( ip(X3)
& ip(X0)
& ip(X4)
& ! [X7,X6,X5] :
( ~ iext(X0,X7,X5)
| iext(X3,X6,X5)
| ~ iext(X4,X6,X7) ) ) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X4,X3,X0,X2,X1] :
( ( iext(uri_owl_propertyChainAxiom,X3,X1)
<=> ( ip(X0)
& ip(X4)
& ip(X3)
& ! [X5,X7,X6] :
( iext(X3,X6,X5)
| ~ iext(X4,X6,X7)
| ~ iext(X0,X7,X5) ) ) )
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_first,X2,X0)
| ~ iext(uri_rdf_rest,X1,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X4,X3,X0,X2,X1] :
( ( iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X1,X4)
& iext(uri_rdf_first,X2,X0)
& iext(uri_rdf_rest,X1,X2) )
=> ( iext(uri_owl_propertyChainAxiom,X3,X1)
<=> ( ip(X0)
& ip(X4)
& ip(X3)
& ! [X5,X7,X6] :
( ( iext(X4,X6,X7)
& iext(X0,X7,X5) )
=> iext(X3,X6,X5) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X7,X4,X6,X3,X5] :
( ( iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( ( ! [X10,X8,X9] :
( ( iext(X5,X8,X9)
& iext(X7,X9,X10) )
=> iext(X3,X8,X10) )
& ip(X5)
& ip(X7)
& ip(X3) )
<=> iext(uri_owl_propertyChainAxiom,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f55,plain,
! [X0] :
( sK3(X0) != sK4(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB027+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 17:38:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.56/0.57 % (28291)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.56/0.57 % (28307)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.56/0.58 % (28290)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.56/0.58 % (28299)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.80/0.59 % (28291)Instruction limit reached!
% 1.80/0.59 % (28291)------------------------------
% 1.80/0.59 % (28291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (28291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (28291)Termination reason: Unknown
% 1.80/0.59 % (28291)Termination phase: Saturation
% 1.80/0.59
% 1.80/0.59 % (28291)Memory used [KB]: 5628
% 1.80/0.59 % (28291)Time elapsed: 0.138 s
% 1.80/0.59 % (28291)Instructions burned: 7 (million)
% 1.80/0.59 % (28291)------------------------------
% 1.80/0.59 % (28291)------------------------------
% 1.80/0.59 % (28306)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.80/0.60 TRYING [1]
% 1.80/0.60 % (28298)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.80/0.60 TRYING [2]
% 1.80/0.60 % (28299)First to succeed.
% 1.80/0.60 TRYING [3]
% 1.80/0.61 % (28307)Also succeeded, but the first one will report.
% 1.80/0.61 % (28299)Refutation found. Thanks to Tanya!
% 1.80/0.61 % SZS status Theorem for theBenchmark
% 1.80/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.61 % (28299)------------------------------
% 1.80/0.61 % (28299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (28299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (28299)Termination reason: Refutation
% 1.80/0.61
% 1.80/0.61 % (28299)Memory used [KB]: 1023
% 1.80/0.61 % (28299)Time elapsed: 0.160 s
% 1.80/0.61 % (28299)Instructions burned: 12 (million)
% 1.80/0.61 % (28299)------------------------------
% 1.80/0.61 % (28299)------------------------------
% 1.80/0.61 % (28283)Success in time 0.248 s
%------------------------------------------------------------------------------