TSTP Solution File: SWB027+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Sun May 5 09:46:58 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 92 ( 25 unt; 0 def)
% Number of atoms : 394 ( 20 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 460 ( 158 ~; 143 |; 124 &)
% ( 25 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 258 ( 225 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,plain,
$false,
inference(unit_resulting_resolution,[],[f229,f86,f87,f88,f93]) ).
fof(f93,plain,
! [X3,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| sP17(X4,X1) ),
inference(cnf_transformation,[],[f93_D]) ).
fof(f93_D,plain,
! [X1,X4] :
( ! [X3] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3) )
<=> ~ sP17(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).
fof(f88,plain,
iext(uri_rdf_rest,sK14,uri_rdf_nil),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( iext(uri_owl_inverseOf,sK15,uri_ex_p)
& iext(uri_rdf_rest,sK14,uri_rdf_nil)
& iext(uri_rdf_first,sK14,sK15)
& iext(uri_rdf_rest,sK13,sK14)
& iext(uri_rdf_first,sK13,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f14,f50]) ).
fof(f50,plain,
( ? [X0,X1,X2] :
( iext(uri_owl_inverseOf,X2,uri_ex_p)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X0) )
=> ( iext(uri_owl_inverseOf,sK15,uri_ex_p)
& iext(uri_rdf_rest,sK14,uri_rdf_nil)
& iext(uri_rdf_first,sK14,sK15)
& iext(uri_rdf_rest,sK13,sK14)
& iext(uri_rdf_first,sK13,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1,X2] :
( iext(uri_owl_inverseOf,X2,uri_ex_p)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
? [X13,X14,X15] :
( iext(uri_owl_inverseOf,X15,uri_ex_p)
& iext(uri_rdf_rest,X14,uri_rdf_nil)
& iext(uri_rdf_first,X14,X15)
& iext(uri_rdf_rest,X13,X14)
& iext(uri_rdf_first,X13,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
fof(f87,plain,
iext(uri_rdf_first,sK14,sK15),
inference(cnf_transformation,[],[f51]) ).
fof(f86,plain,
iext(uri_rdf_rest,sK13,sK14),
inference(cnf_transformation,[],[f51]) ).
fof(f229,plain,
~ sP17(sK15,sK13),
inference(unit_resulting_resolution,[],[f85,f227,f94]) ).
fof(f94,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_rdf_first,X1,X2)
| sP4(X0,X4,X2,X1)
| ~ sP17(X4,X1) ),
inference(general_splitting,[],[f83,f93_D]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X4] :
( sP4(X0,X4,X2,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,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2,X3,X4] :
( sP4(X0,X4,X2,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(definition_folding,[],[f18,f25,f24,f23]) ).
fof(f23,plain,
! [X0,X4,X2] :
( sP2(X0,X4,X2)
<=> ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
! [X2,X4,X0] :
( sP3(X2,X4,X0)
<=> ( sP2(X0,X4,X2)
& ip(X4)
& ip(X2)
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
! [X0,X4,X2,X1] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> sP3(X2,X4,X0) )
| ~ sP4(X0,X4,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(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,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(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,[],[f13]) ).
fof(f13,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_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ( iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X4,X5,X6,X7] :
( ( iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X4,X5) )
=> ( iext(uri_owl_propertyChainAxiom,X3,X4)
<=> ( ! [X8,X9,X10] :
( ( iext(X7,X9,X10)
& iext(X5,X8,X9) )
=> iext(X3,X8,X10) )
& ip(X7)
& ip(X5)
& ip(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f227,plain,
~ sP4(uri_owl_sameAs,sK15,uri_ex_p,sK13),
inference(unit_resulting_resolution,[],[f84,f226,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,X1,X2,X3)
| ~ iext(uri_owl_propertyChainAxiom,X0,X3)
| sP3(X2,X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X3)
| ~ sP3(X2,X1,X0) )
& ( sP3(X2,X1,X0)
| ~ iext(uri_owl_propertyChainAxiom,X0,X3) ) )
| ~ sP4(X0,X1,X2,X3) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X0,X4,X2,X1] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ sP3(X2,X4,X0) )
& ( sP3(X2,X4,X0)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ sP4(X0,X4,X2,X1) ),
inference(nnf_transformation,[],[f25]) ).
fof(f226,plain,
~ sP3(uri_ex_p,sK15,uri_owl_sameAs),
inference(unit_resulting_resolution,[],[f225,f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ~ sP2(X2,X1,X0)
| ~ ip(X1)
| ~ ip(X0)
| ~ ip(X2) )
& ( ( sP2(X2,X1,X0)
& ip(X1)
& ip(X0)
& ip(X2) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X2,X4,X0] :
( ( sP3(X2,X4,X0)
| ~ sP2(X0,X4,X2)
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( sP2(X0,X4,X2)
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ sP3(X2,X4,X0) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X2,X4,X0] :
( ( sP3(X2,X4,X0)
| ~ sP2(X0,X4,X2)
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( sP2(X0,X4,X2)
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ sP3(X2,X4,X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f225,plain,
~ sP2(uri_owl_sameAs,sK15,uri_ex_p),
inference(unit_resulting_resolution,[],[f120,f223,f91]) ).
fof(f91,plain,
! [X2,X0,X1,X6,X7] :
( ~ sP2(X0,X1,X2)
| ~ iext(X2,X6,X7)
| sP16(X0,X6,X1,X7) ),
inference(cnf_transformation,[],[f91_D]) ).
fof(f91_D,plain,
! [X7,X1,X6,X0] :
( ! [X2] :
( ~ sP2(X0,X1,X2)
| ~ iext(X2,X6,X7) )
<=> ~ sP16(X0,X6,X1,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).
fof(f223,plain,
~ sP16(uri_owl_sameAs,sK6(uri_ex_p),sK15,sK7(uri_ex_p)),
inference(unit_resulting_resolution,[],[f107,f140,f92]) ).
fof(f92,plain,
! [X0,X1,X8,X6,X7] :
( ~ sP16(X0,X6,X1,X7)
| ~ iext(X1,X7,X8)
| iext(X0,X6,X8) ),
inference(general_splitting,[],[f79,f91_D]) ).
fof(f79,plain,
! [X2,X0,X1,X8,X6,X7] :
( iext(X0,X6,X8)
| ~ iext(X1,X7,X8)
| ~ iext(X2,X6,X7)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ~ iext(X0,sK10(X0,X1,X2),sK12(X0,X1,X2))
& iext(X1,sK11(X0,X1,X2),sK12(X0,X1,X2))
& iext(X2,sK10(X0,X1,X2),sK11(X0,X1,X2)) ) )
& ( ! [X6,X7,X8] :
( iext(X0,X6,X8)
| ~ iext(X1,X7,X8)
| ~ iext(X2,X6,X7) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f47,f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( ~ iext(X0,X3,X5)
& iext(X1,X4,X5)
& iext(X2,X3,X4) )
=> ( ~ iext(X0,sK10(X0,X1,X2),sK12(X0,X1,X2))
& iext(X1,sK11(X0,X1,X2),sK12(X0,X1,X2))
& iext(X2,sK10(X0,X1,X2),sK11(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3,X4,X5] :
( ~ iext(X0,X3,X5)
& iext(X1,X4,X5)
& iext(X2,X3,X4) ) )
& ( ! [X6,X7,X8] :
( iext(X0,X6,X8)
| ~ iext(X1,X7,X8)
| ~ iext(X2,X6,X7) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X0,X4,X2] :
( ( sP2(X0,X4,X2)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) ) )
& ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
| ~ sP2(X0,X4,X2) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f140,plain,
iext(sK15,sK7(uri_ex_p),sK5(uri_ex_p)),
inference(unit_resulting_resolution,[],[f108,f110,f65]) ).
fof(f65,plain,
! [X0,X1,X4,X5] :
( ~ iext(X0,X5,X4)
| iext(X1,X4,X5)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( ~ iext(X0,sK9(X0,X1),sK8(X0,X1))
| ~ iext(X1,sK8(X0,X1),sK9(X0,X1)) )
& ( iext(X0,sK9(X0,X1),sK8(X0,X1))
| iext(X1,sK8(X0,X1),sK9(X0,X1)) ) ) )
& ( ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f36,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) )
=> ( ( ~ iext(X0,sK9(X0,X1),sK8(X0,X1))
| ~ iext(X1,sK8(X0,X1),sK9(X0,X1)) )
& ( iext(X0,sK9(X0,X1),sK8(X0,X1))
| iext(X1,sK8(X0,X1),sK9(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) ) )
& ( ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f110,plain,
iext(uri_ex_p,sK5(uri_ex_p),sK7(uri_ex_p)),
inference(unit_resulting_resolution,[],[f102,f54]) ).
fof(f54,plain,
! [X0] :
( iext(X0,sK5(X0),sK7(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( sP0(X0)
| ( sK5(X0) != sK6(X0)
& iext(X0,sK6(X0),sK7(X0))
& iext(X0,sK5(X0),sK7(X0)) ) )
& ( ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f28,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> ( sK5(X0) != sK6(X0)
& iext(X0,sK6(X0),sK7(X0))
& iext(X0,sK5(X0),sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) ) )
& ( ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) ) )
& ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( sP0(X0)
<=> ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f102,plain,
~ sP0(uri_ex_p),
inference(unit_resulting_resolution,[],[f97,f101,f59]) ).
fof(f59,plain,
! [X0] :
( ~ sP0(X0)
| icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ sP0(X0)
| ~ ip(X0) )
& ( ( sP0(X0)
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ sP0(X0)
| ~ ip(X0) )
& ( ( sP0(X0)
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( sP0(X0)
& ip(X0) ) ),
inference(definition_folding,[],[f16,f19]) ).
fof(f16,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
& ip(X0) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
& ip(X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> X1 = X2 )
& ip(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X3] :
( icext(uri_owl_InverseFunctionalProperty,X3)
<=> ( ! [X11,X12,X2] :
( ( iext(X3,X12,X2)
& iext(X3,X11,X2) )
=> X11 = X12 )
& ip(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f101,plain,
~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(unit_resulting_resolution,[],[f52,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( 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,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f52,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f9]) ).
fof(f9,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(f97,plain,
ip(uri_ex_p),
inference(unit_resulting_resolution,[],[f89,f69]) ).
fof(f69,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)
| ~ sP1(X1,X0)
| ~ ip(X1)
| ~ ip(X0) )
& ( ( sP1(X1,X0)
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ sP1(X1,X0)
| ~ ip(X1)
| ~ ip(X0) )
& ( ( sP1(X1,X0)
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( sP1(X1,X0)
& ip(X1)
& ip(X0) ) ),
inference(definition_folding,[],[f12,f21]) ).
fof(f12,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X5,X7] :
( iext(uri_owl_inverseOf,X5,X7)
<=> ( ! [X0,X2] :
( iext(X5,X0,X2)
<=> iext(X7,X2,X0) )
& ip(X7)
& ip(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f89,plain,
iext(uri_owl_inverseOf,sK15,uri_ex_p),
inference(cnf_transformation,[],[f51]) ).
fof(f108,plain,
sP1(uri_ex_p,sK15),
inference(unit_resulting_resolution,[],[f89,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f107,plain,
~ iext(uri_owl_sameAs,sK6(uri_ex_p),sK5(uri_ex_p)),
inference(unit_resulting_resolution,[],[f104,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2] :
( iext(uri_owl_sameAs,X0,X2)
<=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f104,plain,
sK5(uri_ex_p) != sK6(uri_ex_p),
inference(unit_resulting_resolution,[],[f102,f56]) ).
fof(f56,plain,
! [X0] :
( sK5(X0) != sK6(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f120,plain,
iext(uri_ex_p,sK6(uri_ex_p),sK7(uri_ex_p)),
inference(unit_resulting_resolution,[],[f102,f55]) ).
fof(f55,plain,
! [X0] :
( iext(X0,sK6(X0),sK7(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f84,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK13),
inference(cnf_transformation,[],[f51]) ).
fof(f85,plain,
iext(uri_rdf_first,sK13,uri_ex_p),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 3 18:44:38 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % (8976)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (8980)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35 % (8983)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.35 % (8977)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.35 % (8979)WARNING: value z3 for option sas not known
% 0.13/0.36 % (8979)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (8983)First to succeed.
% 0.13/0.36 TRYING [3]
% 0.13/0.37 % (8978)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (8982)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (8981)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (8983)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8976"
% 0.13/0.37 % (8983)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (8983)------------------------------
% 0.13/0.37 % (8983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (8983)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (8983)Memory used [KB]: 936
% 0.13/0.37 % (8983)Time elapsed: 0.014 s
% 0.13/0.37 % (8983)Instructions burned: 18 (million)
% 0.13/0.37 % (8976)Success in time 0.03 s
%------------------------------------------------------------------------------