TSTP Solution File: SWB012+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 20:09:07 EDT 2023
% Result : Theorem 1.95s 1.17s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 94 ( 26 unt; 0 def)
% Number of atoms : 477 ( 0 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 585 ( 202 ~; 199 |; 160 &)
% ( 16 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-5 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-4 aty)
% Number of variables : 236 ( 15 sgn; 157 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
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(f2,axiom,
! [X2,X1,X0,X3] :
( ( iext(X2,X0,X3)
& iext(uri_rdfs_domain,X2,X1) )
=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f3,axiom,
! [X4,X5,X6,X7,X8,X9,X10] :
( ( iext(uri_rdf_rest,X9,uri_rdf_nil)
& iext(uri_rdf_first,X9,X10)
& iext(uri_rdf_rest,X7,X9)
& iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_rest,X5,X7)
& iext(uri_rdf_first,X5,X6) )
=> ( iext(uri_owl_intersectionOf,X4,X5)
<=> ( ! [X0] :
( icext(X4,X0)
<=> ( icext(X10,X0)
& icext(X8,X0)
& icext(X6,X0) ) )
& ic(X10)
& ic(X8)
& ic(X6)
& ic(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
fof(f4,axiom,
! [X4,X2,X11] :
( ( iext(uri_owl_onProperty,X4,X2)
& iext(uri_owl_hasValue,X4,X11) )
=> ! [X0] :
( icext(X4,X0)
<=> iext(X2,X0,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
fof(f5,conjecture,
( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
fof(f6,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(negated_conjecture,[],[f5]) ).
fof(f7,axiom,
? [X12,X13,X14,X15] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,X15,uri_foaf_Person)
& iext(uri_owl_onProperty,X15,uri_rdfs_domain)
& iext(uri_rdf_type,X15,uri_owl_Restriction)
& 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_owl_FunctionalProperty)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_first,X12,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X12)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(uri_rdfs_domain,X0,X1) )
=> icext(X1,X2) ),
inference(rectify,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X3,X5)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
inference(rectify,[],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_hasValue,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X2) ) ),
inference(rectify,[],[f4]) ).
fof(f11,plain,
? [X0,X1,X2,X3] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,X3,uri_foaf_Person)
& iext(uri_owl_onProperty,X3,uri_rdfs_domain)
& iext(uri_rdf_type,X3,uri_owl_Restriction)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X0)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(rectify,[],[f7]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X2) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X2) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(ennf_transformation,[],[f6]) ).
fof(f19,plain,
! [X6,X4,X2,X0] :
( sP0(X6,X4,X2,X0)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f20,plain,
! [X0,X2,X4,X6,X1] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> sP0(X6,X4,X2,X0) )
| ~ sP1(X0,X2,X4,X6,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP1(X0,X2,X4,X6,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(definition_folding,[],[f15,f20,f19]) ).
fof(f22,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(f23,plain,
! [X0,X2,X4,X6,X1] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ sP0(X6,X4,X2,X0) )
& ( sP0(X6,X4,X2,X0)
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ sP1(X0,X2,X4,X6,X1) ),
inference(nnf_transformation,[],[f20]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X0,X4)
| ~ sP0(X3,X2,X1,X0) )
& ( sP0(X3,X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,X0,X4) ) )
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X6,X4,X2,X0] :
( ( sP0(X6,X4,X2,X0)
| ? [X7] :
( ( ~ icext(X6,X7)
| ~ icext(X4,X7)
| ~ icext(X2,X7)
| ~ icext(X0,X7) )
& ( ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) )
| icext(X0,X7) ) )
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0) )
& ( ( ! [X7] :
( ( icext(X0,X7)
| ~ icext(X6,X7)
| ~ icext(X4,X7)
| ~ icext(X2,X7) )
& ( ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) )
| ~ icext(X0,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) )
| ~ sP0(X6,X4,X2,X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f26,plain,
! [X6,X4,X2,X0] :
( ( sP0(X6,X4,X2,X0)
| ? [X7] :
( ( ~ icext(X6,X7)
| ~ icext(X4,X7)
| ~ icext(X2,X7)
| ~ icext(X0,X7) )
& ( ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) )
| icext(X0,X7) ) )
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0) )
& ( ( ! [X7] :
( ( icext(X0,X7)
| ~ icext(X6,X7)
| ~ icext(X4,X7)
| ~ icext(X2,X7) )
& ( ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) )
| ~ icext(X0,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) )
| ~ sP0(X6,X4,X2,X0) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ? [X4] :
( ( ~ icext(X0,X4)
| ~ icext(X1,X4)
| ~ icext(X2,X4)
| ~ icext(X3,X4) )
& ( ( icext(X0,X4)
& icext(X1,X4)
& icext(X2,X4) )
| icext(X3,X4) ) )
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ~ ic(X3) )
& ( ( ! [X5] :
( ( icext(X3,X5)
| ~ icext(X0,X5)
| ~ icext(X1,X5)
| ~ icext(X2,X5) )
& ( ( icext(X0,X5)
& icext(X1,X5)
& icext(X2,X5) )
| ~ icext(X3,X5) ) )
& ic(X0)
& ic(X1)
& ic(X2)
& ic(X3) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( ( ~ icext(X0,X4)
| ~ icext(X1,X4)
| ~ icext(X2,X4)
| ~ icext(X3,X4) )
& ( ( icext(X0,X4)
& icext(X1,X4)
& icext(X2,X4) )
| icext(X3,X4) ) )
=> ( ( ~ icext(X0,sK2(X0,X1,X2,X3))
| ~ icext(X1,sK2(X0,X1,X2,X3))
| ~ icext(X2,sK2(X0,X1,X2,X3))
| ~ icext(X3,sK2(X0,X1,X2,X3)) )
& ( ( icext(X0,sK2(X0,X1,X2,X3))
& icext(X1,sK2(X0,X1,X2,X3))
& icext(X2,sK2(X0,X1,X2,X3)) )
| icext(X3,sK2(X0,X1,X2,X3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ( ( ~ icext(X0,sK2(X0,X1,X2,X3))
| ~ icext(X1,sK2(X0,X1,X2,X3))
| ~ icext(X2,sK2(X0,X1,X2,X3))
| ~ icext(X3,sK2(X0,X1,X2,X3)) )
& ( ( icext(X0,sK2(X0,X1,X2,X3))
& icext(X1,sK2(X0,X1,X2,X3))
& icext(X2,sK2(X0,X1,X2,X3)) )
| icext(X3,sK2(X0,X1,X2,X3)) ) )
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ~ ic(X3) )
& ( ( ! [X5] :
( ( icext(X3,X5)
| ~ icext(X0,X5)
| ~ icext(X1,X5)
| ~ icext(X2,X5) )
& ( ( icext(X0,X5)
& icext(X1,X5)
& icext(X2,X5) )
| ~ icext(X3,X5) ) )
& ic(X0)
& ic(X1)
& ic(X2)
& ic(X3) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f27,f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2) ),
inference(nnf_transformation,[],[f17]) ).
fof(f31,plain,
( ? [X0,X1,X2,X3] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,X3,uri_foaf_Person)
& iext(uri_owl_onProperty,X3,uri_rdfs_domain)
& iext(uri_rdf_type,X3,uri_owl_Restriction)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X0)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) )
=> ( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,sK6,uri_foaf_Person)
& iext(uri_owl_onProperty,sK6,uri_rdfs_domain)
& iext(uri_rdf_type,sK6,uri_owl_Restriction)
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_rdf_first,sK5,sK6)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,sK6,uri_foaf_Person)
& iext(uri_owl_onProperty,sK6,uri_rdfs_domain)
& iext(uri_rdf_type,sK6,uri_owl_Restriction)
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_rdf_first,sK5,sK6)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f11,f31]) ).
fof(f33,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f34,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X4] :
( sP0(X3,X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,X0,X4)
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f24]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X5] :
( icext(X1,X5)
| ~ icext(X3,X5)
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X5] :
( icext(X0,X5)
| ~ icext(X3,X5)
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP1(X0,X2,X4,X6,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( iext(X1,X3,X2)
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(cnf_transformation,[],[f18]) ).
fof(f55,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3),
inference(cnf_transformation,[],[f32]) ).
fof(f56,plain,
iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f32]) ).
fof(f57,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(cnf_transformation,[],[f32]) ).
fof(f58,plain,
iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
iext(uri_rdf_first,sK5,sK6),
inference(cnf_transformation,[],[f32]) ).
fof(f61,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f32]) ).
fof(f63,plain,
iext(uri_owl_onProperty,sK6,uri_rdfs_domain),
inference(cnf_transformation,[],[f32]) ).
fof(f64,plain,
iext(uri_owl_hasValue,sK6,uri_foaf_Person),
inference(cnf_transformation,[],[f32]) ).
fof(f65,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[],[f32]) ).
fof(f66,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[],[f32]) ).
cnf(c_49,plain,
( ~ icext(X0,X1)
| iext(uri_rdf_type,X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_50,plain,
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_51,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_rdfs_domain,X0,X3)
| icext(X3,X1) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_53,plain,
( ~ sP1(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_intersectionOf,X0,X4)
| sP0(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_59,plain,
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X3,X4)
| icext(X0,X4) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_60,plain,
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X3,X4)
| icext(X1,X4) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_66,plain,
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X0,X3)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_first,X2,X5)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| sP1(X6,X3,X4,X5,X0) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_68,plain,
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2)
| ~ icext(X0,X3)
| iext(X1,X3,X2) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_69,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_70,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[],[f66]) ).
cnf(c_71,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[],[f65]) ).
cnf(c_72,plain,
iext(uri_owl_hasValue,sK6,uri_foaf_Person),
inference(cnf_transformation,[],[f64]) ).
cnf(c_73,plain,
iext(uri_owl_onProperty,sK6,uri_rdfs_domain),
inference(cnf_transformation,[],[f63]) ).
cnf(c_75,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f61]) ).
cnf(c_76,plain,
iext(uri_rdf_first,sK5,sK6),
inference(cnf_transformation,[],[f60]) ).
cnf(c_77,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f59]) ).
cnf(c_78,plain,
iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f58]) ).
cnf(c_79,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(cnf_transformation,[],[f57]) ).
cnf(c_80,plain,
iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f56]) ).
cnf(c_81,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3),
inference(cnf_transformation,[],[f55]) ).
cnf(c_1233,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
| icext(uri_ex_PersonAttribute,uri_ex_name) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1238,plain,
( ~ sP1(uri_ex_PersonAttribute,X0,X1,X2,sK3)
| ~ iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
| sP0(X2,X1,X0,uri_ex_PersonAttribute) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1240,plain,
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,X1,X3)
| ~ iext(uri_rdf_rest,X1,sK5)
| ~ iext(uri_rdf_first,sK5,X4)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| sP1(X5,X2,X3,X4,X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_1245,plain,
( ~ sP0(X0,X1,X2,uri_ex_PersonAttribute)
| ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| icext(X1,uri_ex_name) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_1246,plain,
( ~ sP0(X0,X1,X2,uri_ex_PersonAttribute)
| ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| icext(X0,uri_ex_name) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_1287,plain,
( ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_rdf_first,sK4,X1)
| ~ iext(uri_rdf_first,sK3,X2)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_rest,sK3,sK4)
| sP1(X3,X2,X1,X0,sK3) ),
inference(instantiation,[status(thm)],[c_1240]) ).
cnf(c_1295,plain,
( ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(uri_rdf_first,sK3,X1)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_rest,sK3,sK4)
| ~ iext(uri_rdf_first,sK5,sK6)
| sP1(X2,X1,X0,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_1287]) ).
cnf(c_1302,plain,
( ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_rest,sK3,sK4)
| ~ iext(uri_rdf_first,sK5,sK6)
| ~ iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
| sP1(X1,X0,uri_owl_FunctionalProperty,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_1295]) ).
cnf(c_1306,plain,
( ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_rest,sK3,sK4)
| ~ iext(uri_rdf_first,sK5,sK6)
| ~ iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
| sP1(X0,uri_owl_DatatypeProperty,uri_owl_FunctionalProperty,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_1302]) ).
cnf(c_1308,plain,
( ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_rest,sK3,sK4)
| ~ iext(uri_rdf_first,sK5,sK6)
| ~ iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
| sP1(uri_ex_PersonAttribute,uri_owl_DatatypeProperty,uri_owl_FunctionalProperty,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_1306]) ).
cnf(c_1309,plain,
( ~ sP1(uri_ex_PersonAttribute,uri_owl_DatatypeProperty,uri_owl_FunctionalProperty,sK6,sK3)
| ~ iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
| sP0(sK6,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty,uri_ex_PersonAttribute) ),
inference(instantiation,[status(thm)],[c_1238]) ).
cnf(c_1322,plain,
( ~ sP0(sK6,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty,uri_ex_PersonAttribute)
| ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| icext(sK6,uri_ex_name) ),
inference(instantiation,[status(thm)],[c_1246]) ).
cnf(c_1323,plain,
( ~ sP0(sK6,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty,uri_ex_PersonAttribute)
| ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| icext(uri_owl_FunctionalProperty,uri_ex_name) ),
inference(instantiation,[status(thm)],[c_1245]) ).
cnf(c_1370,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_ex_name)
| iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1464,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(global_subsumption_just,[status(thm)],[c_69,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_71,c_69,c_1233,c_1308,c_1309,c_1323,c_1370]) ).
cnf(c_1515,plain,
~ icext(uri_foaf_Person,uri_ex_alice),
inference(superposition,[status(thm)],[c_49,c_1464]) ).
cnf(c_1565,plain,
( ~ iext(uri_rdfs_domain,uri_ex_name,X0)
| icext(X0,uri_ex_alice) ),
inference(superposition,[status(thm)],[c_70,c_51]) ).
cnf(c_2413,plain,
( ~ iext(uri_owl_hasValue,sK6,X0)
| ~ icext(sK6,X1)
| iext(uri_rdfs_domain,X1,X0) ),
inference(superposition,[status(thm)],[c_73,c_68]) ).
cnf(c_2929,plain,
( ~ icext(sK6,X0)
| iext(uri_rdfs_domain,X0,uri_foaf_Person) ),
inference(superposition,[status(thm)],[c_72,c_2413]) ).
cnf(c_2956,plain,
( ~ icext(sK6,uri_ex_name)
| icext(uri_foaf_Person,uri_ex_alice) ),
inference(superposition,[status(thm)],[c_2929,c_1565]) ).
cnf(c_2994,plain,
~ icext(sK6,uri_ex_name),
inference(forward_subsumption_resolution,[status(thm)],[c_2956,c_1515]) ).
cnf(c_3005,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2994,c_1322,c_1309,c_1308,c_1233,c_71,c_75,c_76,c_77,c_78,c_79,c_80,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 07:03:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.95/1.17 % SZS status Started for theBenchmark.p
% 1.95/1.17 % SZS status Theorem for theBenchmark.p
% 1.95/1.17
% 1.95/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.95/1.17
% 1.95/1.17 ------ iProver source info
% 1.95/1.17
% 1.95/1.17 git: date: 2023-05-31 18:12:56 +0000
% 1.95/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.95/1.17 git: non_committed_changes: false
% 1.95/1.17 git: last_make_outside_of_git: false
% 1.95/1.17
% 1.95/1.17 ------ Parsing...
% 1.95/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.95/1.17
% 1.95/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 1.95/1.17
% 1.95/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.95/1.17 ------ Proving...
% 1.95/1.17 ------ Problem Properties
% 1.95/1.17
% 1.95/1.17
% 1.95/1.17 clauses 34
% 1.95/1.17 conjectures 1
% 1.95/1.17 EPR 29
% 1.95/1.17 Horn 31
% 1.95/1.17 unary 13
% 1.95/1.17 binary 7
% 1.95/1.17 lits 95
% 1.95/1.17 lits eq 0
% 1.95/1.17 fd_pure 0
% 1.95/1.17 fd_pseudo 0
% 1.95/1.17 fd_cond 0
% 1.95/1.17 fd_pseudo_cond 0
% 1.95/1.17 AC symbols 0
% 1.95/1.17
% 1.95/1.17 ------ Schedule dynamic 5 is on
% 1.95/1.17
% 1.95/1.17 ------ no equalities: superposition off
% 1.95/1.17
% 1.95/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.95/1.17
% 1.95/1.17
% 1.95/1.17 ------
% 1.95/1.17 Current options:
% 1.95/1.17 ------
% 1.95/1.17
% 1.95/1.17
% 1.95/1.17
% 1.95/1.17
% 1.95/1.17 ------ Proving...
% 1.95/1.17
% 1.95/1.17
% 1.95/1.17 % SZS status Theorem for theBenchmark.p
% 1.95/1.17
% 1.95/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.38/1.17
% 2.38/1.17
%------------------------------------------------------------------------------