TSTP Solution File: SWB028+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB028+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 : n020.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 09:46:59 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 25
% Syntax : Number of formulae : 125 ( 28 unt; 0 def)
% Number of atoms : 526 ( 29 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 594 ( 193 ~; 190 |; 157 &)
% ( 37 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 306 ( 264 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f685,plain,
$false,
inference(subsumption_resolution,[],[f677,f449]) ).
fof(f449,plain,
iext(sK17(uri_owl_FunctionalProperty,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_inverseOf),sK12(sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK11(sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
inference(unit_resulting_resolution,[],[f442,f432,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| iext(X0,sK12(X1),sK11(X1))
| sP1(X1) ),
inference(resolution,[],[f108,f92]) ).
fof(f92,plain,
! [X0] :
( iext(X0,sK11(X0),sK12(X0))
| sP1(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( sP1(X0)
| ( sK10(X0) != sK11(X0)
& iext(X0,sK11(X0),sK12(X0))
& iext(X0,sK10(X0),sK12(X0)) ) )
& ( ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f50,f51]) ).
fof(f51,plain,
! [X0] :
( ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> ( sK10(X0) != sK11(X0)
& iext(X0,sK11(X0),sK12(X0))
& iext(X0,sK10(X0),sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ( sP1(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) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( sP1(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) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( sP1(X0)
<=> ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f108,plain,
! [X0,X1,X4,X5] :
( ~ iext(X1,X4,X5)
| iext(X0,X5,X4)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ( ( ~ iext(X0,sK15(X0,X1),sK14(X0,X1))
| ~ iext(X1,sK14(X0,X1),sK15(X0,X1)) )
& ( iext(X0,sK15(X0,X1),sK14(X0,X1))
| iext(X1,sK14(X0,X1),sK15(X0,X1)) ) ) )
& ( ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) )
| ~ sP3(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f62,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) )
=> ( ( ~ iext(X0,sK15(X0,X1),sK14(X0,X1))
| ~ iext(X1,sK14(X0,X1),sK15(X0,X1)) )
& ( iext(X0,sK15(X0,X1),sK14(X0,X1))
| iext(X1,sK14(X0,X1),sK15(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0,X1] :
( ( sP3(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) ) )
| ~ sP3(X0,X1) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ( sP3(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) ) )
| ~ sP3(X1,X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( sP3(X1,X0)
<=> ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f432,plain,
sP3(sK17(uri_owl_FunctionalProperty,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_inverseOf),sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(unit_resulting_resolution,[],[f398,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ sP3(X1,X0)
| ~ ip(X1)
| ~ ip(X0) )
& ( ( sP3(X1,X0)
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ sP3(X1,X0)
| ~ ip(X1)
| ~ ip(X0) )
& ( ( sP3(X1,X0)
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( sP3(X1,X0)
& ip(X1)
& ip(X0) ) ),
inference(definition_folding,[],[f17,f36]) ).
fof(f17,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,[],[f9]) ).
fof(f9,axiom,
! [X11,X12] :
( iext(uri_owl_inverseOf,X11,X12)
<=> ( ! [X0,X1] :
( iext(X11,X0,X1)
<=> iext(X12,X1,X0) )
& ip(X12)
& ip(X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
fof(f398,plain,
iext(uri_owl_inverseOf,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),sK17(uri_owl_FunctionalProperty,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_inverseOf)),
inference(unit_resulting_resolution,[],[f394,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| iext(X2,X1,sK17(X0,X1,X2)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ! [X3] :
( ~ icext(X0,X3)
| ~ iext(X2,X1,X3) ) )
& ( ( icext(X0,sK17(X0,X1,X2))
& iext(X2,X1,sK17(X0,X1,X2)) )
| ~ sP5(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f76,f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ? [X4] :
( icext(X0,X4)
& iext(X2,X1,X4) )
=> ( icext(X0,sK17(X0,X1,X2))
& iext(X2,X1,sK17(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ! [X3] :
( ~ icext(X0,X3)
| ~ iext(X2,X1,X3) ) )
& ( ? [X4] :
( icext(X0,X4)
& iext(X2,X1,X4) )
| ~ sP5(X0,X1,X2) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X1] :
( ( sP5(X2,X3,X1)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
& ( ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) )
| ~ sP5(X2,X3,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X2,X3,X1] :
( sP5(X2,X3,X1)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f394,plain,
sP5(uri_owl_FunctionalProperty,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_inverseOf),
inference(unit_resulting_resolution,[],[f286,f388,f124]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2)
| ~ icext(X2,X3)
| sP5(X1,X3,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X2,X3)
| ~ sP5(X1,X3,X0) )
& ( sP5(X1,X3,X0)
| ~ icext(X2,X3) ) )
| ~ sP6(X0,X1,X2) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X1,X2,X0] :
( ! [X3] :
( ( icext(X0,X3)
| ~ sP5(X2,X3,X1) )
& ( sP5(X2,X3,X1)
| ~ icext(X0,X3) ) )
| ~ sP6(X1,X2,X0) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X2,X0] :
( ! [X3] :
( icext(X0,X3)
<=> sP5(X2,X3,X1) )
| ~ sP6(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f388,plain,
sP6(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK18),
inference(unit_resulting_resolution,[],[f133,f132,f129]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| sP6(X1,X2,X0)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( sP6(X1,X2,X0)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(definition_folding,[],[f29,f41,f40]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_someValuesFrom,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X9,X2,X10] :
( ( iext(uri_owl_onProperty,X9,X2)
& iext(uri_owl_someValuesFrom,X9,X10) )
=> ! [X0] :
( icext(X9,X0)
<=> ? [X1] :
( icext(X10,X1)
& iext(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f132,plain,
iext(uri_owl_onProperty,sK18,uri_owl_inverseOf),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( iext(uri_owl_someValuesFrom,sK18,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,sK18,uri_owl_inverseOf)
& iext(uri_rdf_type,sK18,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f20,f79]) ).
fof(f79,plain,
( ? [X0] :
( iext(uri_owl_someValuesFrom,X0,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,X0,uri_owl_inverseOf)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X0) )
=> ( iext(uri_owl_someValuesFrom,sK18,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,sK18,uri_owl_inverseOf)
& iext(uri_rdf_type,sK18,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0] :
( iext(uri_owl_someValuesFrom,X0,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,X0,uri_owl_inverseOf)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
? [X13] :
( iext(uri_owl_someValuesFrom,X13,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,X13,uri_owl_inverseOf)
& iext(uri_rdf_type,X13,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).
fof(f133,plain,
iext(uri_owl_someValuesFrom,sK18,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f80]) ).
fof(f286,plain,
icext(sK18,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(unit_resulting_resolution,[],[f140,f280,f116]) ).
fof(f116,plain,
! [X3,X0,X1] :
( ~ sP4(X0,X1)
| ~ icext(X1,X3)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ( ( ~ icext(X0,sK16(X0,X1))
| ~ icext(X1,sK16(X0,X1)) )
& ( icext(X0,sK16(X0,X1))
| icext(X1,sK16(X0,X1)) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ sP4(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X0,X2)
| icext(X1,X2) ) )
=> ( ( ~ icext(X0,sK16(X0,X1))
| ~ icext(X1,sK16(X0,X1)) )
& ( icext(X0,sK16(X0,X1))
| icext(X1,sK16(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ~ icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X0,X2)
| icext(X1,X2) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ( sP4(X1,X0)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ sP4(X1,X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( sP4(X1,X0)
<=> ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f280,plain,
icext(uri_ex_InversesOfFunctionalProperties,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(unit_resulting_resolution,[],[f134,f138,f82,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ ic(X0)
| icext(X1,sK13(X0,X1))
| sP2(X0,X1)
| ~ ic(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ~ icext(X0,sK13(X0,X1))
& icext(X1,sK13(X0,X1)) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X0)
& ic(X1) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) )
=> ( ~ icext(X0,sK13(X0,X1))
& icext(X1,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X0)
& ic(X1) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f82,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
fof(f138,plain,
~ sP2(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),
inference(unit_resulting_resolution,[],[f81,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ sP2(X1,X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> sP2(X1,X0) ),
inference(definition_folding,[],[f27,f34]) ).
fof(f27,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X7,X8] :
( iext(uri_rdfs_subClassOf,X7,X8)
<=> ( ! [X0] :
( icext(X7,X0)
=> icext(X8,X0) )
& ic(X8)
& ic(X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f81,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(flattening,[],[f11]) ).
fof(f11,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) ).
fof(f134,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(unit_resulting_resolution,[],[f130,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
=> ( ic(X1)
& ic(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(f130,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK18),
inference(cnf_transformation,[],[f80]) ).
fof(f140,plain,
sP4(sK18,uri_ex_InversesOfFunctionalProperties),
inference(unit_resulting_resolution,[],[f130,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| sP4(X1,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ sP4(X1,X0)
| ~ ic(X1)
| ~ ic(X0) )
& ( ( sP4(X1,X0)
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ sP4(X1,X0)
| ~ ic(X1)
| ~ ic(X0) )
& ( ( sP4(X1,X0)
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( sP4(X1,X0)
& ic(X1)
& ic(X0) ) ),
inference(definition_folding,[],[f18,f38]) ).
fof(f18,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X7,X8] :
( iext(uri_owl_equivalentClass,X7,X8)
<=> ( ! [X0] :
( icext(X7,X0)
<=> icext(X8,X0) )
& ic(X8)
& ic(X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f442,plain,
~ sP1(sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(unit_resulting_resolution,[],[f284,f434,f96]) ).
fof(f96,plain,
! [X0] :
( ~ sP1(X0)
| icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ sP1(X0)
| ~ ip(X0) )
& ( ( sP1(X0)
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ sP1(X0)
| ~ ip(X0) )
& ( ( sP1(X0)
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( sP1(X0)
& ip(X0) ) ),
inference(definition_folding,[],[f24,f32]) ).
fof(f24,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
& ip(X0) ) ),
inference(flattening,[],[f23]) ).
fof(f23,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,[],[f15]) ).
fof(f15,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> X1 = X2 )
& ip(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] :
( icext(uri_owl_InverseFunctionalProperty,X2)
<=> ( ! [X5,X6,X1] :
( ( iext(X2,X6,X1)
& iext(X2,X5,X1) )
=> X5 = X6 )
& ip(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f434,plain,
ip(sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(unit_resulting_resolution,[],[f398,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ip(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
=> ( ip(X1)
& ip(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
fof(f284,plain,
~ icext(uri_owl_InverseFunctionalProperty,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(unit_resulting_resolution,[],[f134,f82,f138,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ icext(X0,sK13(X0,X1))
| sP2(X0,X1)
| ~ ic(X0)
| ~ ic(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f677,plain,
~ iext(sK17(uri_owl_FunctionalProperty,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_inverseOf),sK12(sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK11(sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
inference(unit_resulting_resolution,[],[f445,f418,f448,f83]) ).
fof(f83,plain,
! [X0,X6,X4,X5] :
( ~ iext(X0,X4,X6)
| X5 = X6
| ~ iext(X0,X4,X5)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( sP0(X0)
| ( sK8(X0) != sK9(X0)
& iext(X0,sK7(X0),sK9(X0))
& iext(X0,sK7(X0),sK8(X0)) ) )
& ( ! [X4,X5,X6] :
( X5 = X6
| ~ iext(X0,X4,X6)
| ~ iext(X0,X4,X5) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f44,f45]) ).
fof(f45,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& iext(X0,X1,X3)
& iext(X0,X1,X2) )
=> ( sK8(X0) != sK9(X0)
& iext(X0,sK7(X0),sK9(X0))
& iext(X0,sK7(X0),sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2,X3] :
( X2 != X3
& iext(X0,X1,X3)
& iext(X0,X1,X2) ) )
& ( ! [X4,X5,X6] :
( X5 = X6
| ~ iext(X0,X4,X6)
| ~ iext(X0,X4,X5) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2,X3] :
( X2 != X3
& iext(X0,X1,X3)
& iext(X0,X1,X2) ) )
& ( ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( sP0(X0)
<=> ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f448,plain,
iext(sK17(uri_owl_FunctionalProperty,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_inverseOf),sK12(sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK10(sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
inference(unit_resulting_resolution,[],[f442,f432,f216]) ).
fof(f216,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| iext(X0,sK12(X1),sK10(X1))
| sP1(X1) ),
inference(resolution,[],[f108,f91]) ).
fof(f91,plain,
! [X0] :
( iext(X0,sK10(X0),sK12(X0))
| sP1(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f418,plain,
sP0(sK17(uri_owl_FunctionalProperty,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_inverseOf)),
inference(unit_resulting_resolution,[],[f401,f88]) ).
fof(f88,plain,
! [X0] :
( ~ icext(uri_owl_FunctionalProperty,X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ sP0(X0)
| ~ ip(X0) )
& ( ( sP0(X0)
& ip(X0) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ sP0(X0)
| ~ ip(X0) )
& ( ( sP0(X0)
& ip(X0) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( sP0(X0)
& ip(X0) ) ),
inference(definition_folding,[],[f22,f30]) ).
fof(f22,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2) )
& ip(X0) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2) )
& ip(X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X1,X3)
& iext(X0,X1,X2) )
=> X2 = X3 )
& ip(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2] :
( icext(uri_owl_FunctionalProperty,X2)
<=> ( ! [X0,X3,X4] :
( ( iext(X2,X0,X4)
& iext(X2,X0,X3) )
=> X3 = X4 )
& ip(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_functional) ).
fof(f401,plain,
icext(uri_owl_FunctionalProperty,sK17(uri_owl_FunctionalProperty,sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_inverseOf)),
inference(unit_resulting_resolution,[],[f394,f127]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| icext(X0,sK17(X0,X1,X2)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f445,plain,
sK10(sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) != sK11(sK13(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(unit_resulting_resolution,[],[f442,f93]) ).
fof(f93,plain,
! [X0] :
( sK10(X0) != sK11(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB028+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:38:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (27144)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (27147)WARNING: value z3 for option sas not known
% 0.14/0.38 % (27146)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (27148)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (27145)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (27147)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)
% 0.14/0.38 % (27149)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)
% 0.14/0.38 % (27150)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)
% 0.14/0.38 % (27151)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [3]
% 0.21/0.40 % (27151)First to succeed.
% 0.21/0.40 % (27151)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27144"
% 0.21/0.40 % (27151)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (27151)------------------------------
% 0.21/0.40 % (27151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (27151)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (27151)Memory used [KB]: 1129
% 0.21/0.40 % (27151)Time elapsed: 0.022 s
% 0.21/0.40 % (27151)Instructions burned: 35 (million)
% 0.21/0.40 % (27144)Success in time 0.039 s
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