TSTP Solution File: SWB012+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n018.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 : Sat Sep 2 12:34:12 EDT 2023
% Result : Theorem 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 86 ( 22 unt; 0 def)
% Number of atoms : 428 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 497 ( 155 ~; 156 |; 159 &)
% ( 19 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-5 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-4 aty)
% Number of variables : 227 (; 211 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f530,plain,
$false,
inference(avatar_sat_refutation,[],[f81,f398,f529]) ).
fof(f529,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| spl8_2 ),
inference(subsumption_resolution,[],[f527,f80]) ).
fof(f80,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| spl8_2 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl8_2
<=> iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f527,plain,
iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(resolution,[],[f507,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,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/sandbox/tmp/tmp.wKcRajiLP7/Vampire---4.8_7908',rdfs_cext_def) ).
fof(f507,plain,
icext(uri_foaf_Person,uri_ex_alice),
inference(resolution,[],[f483,f72]) ).
fof(f72,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,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,sK7,uri_foaf_Person)
& iext(uri_owl_onProperty,sK7,uri_rdfs_domain)
& iext(uri_rdf_type,sK7,uri_owl_Restriction)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,sK7)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK4)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f11,f35]) ).
fof(f35,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,sK7,uri_foaf_Person)
& iext(uri_owl_onProperty,sK7,uri_rdfs_domain)
& iext(uri_rdf_type,sK7,uri_owl_Restriction)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,sK7)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK4)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ) ),
introduced(choice_axiom,[]) ).
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(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/sandbox/tmp/tmp.wKcRajiLP7/Vampire---4.8_7908',testcase_premise_fullish_012_Template_Class) ).
fof(f483,plain,
! [X0,X1] :
( ~ iext(uri_ex_name,X0,X1)
| icext(uri_foaf_Person,X0) ),
inference(resolution,[],[f465,f84]) ).
fof(f84,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(resolution,[],[f38,f71]) ).
fof(f71,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f465,plain,
! [X2,X3,X1] :
( ~ icext(uri_ex_PersonAttribute,X1)
| ~ iext(X1,X2,X3)
| icext(uri_foaf_Person,X2) ),
inference(resolution,[],[f446,f42]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3)
| icext(X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(uri_rdfs_domain,X0,X1) )
=> icext(X1,X2) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0,X3] :
( ( iext(X2,X0,X3)
& iext(uri_rdfs_domain,X2,X1) )
=> icext(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.wKcRajiLP7/Vampire---4.8_7908',rdfs_domain_main) ).
fof(f446,plain,
! [X0] :
( iext(uri_rdfs_domain,X0,uri_foaf_Person)
| ~ icext(uri_ex_PersonAttribute,X0) ),
inference(resolution,[],[f370,f70]) ).
fof(f70,plain,
iext(uri_owl_hasValue,sK7,uri_foaf_Person),
inference(cnf_transformation,[],[f36]) ).
fof(f370,plain,
! [X0,X1] :
( ~ iext(uri_owl_hasValue,sK7,X1)
| iext(uri_rdfs_domain,X0,X1)
| ~ icext(uri_ex_PersonAttribute,X0) ),
inference(resolution,[],[f366,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ icext(sK7,X0)
| iext(uri_rdfs_domain,X0,X1)
| ~ iext(uri_owl_hasValue,sK7,X1) ),
inference(resolution,[],[f40,f69]) ).
fof(f69,plain,
iext(uri_owl_onProperty,sK7,uri_rdfs_domain),
inference(cnf_transformation,[],[f36]) ).
fof(f40,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X3)
| iext(X1,X3,X2)
| ~ iext(uri_owl_hasValue,X0,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,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,[],[f14]) ).
fof(f14,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,[],[f13]) ).
fof(f13,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,[],[f8]) ).
fof(f8,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(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/sandbox/tmp/tmp.wKcRajiLP7/Vampire---4.8_7908',owl_restrict_hasvalue) ).
fof(f366,plain,
! [X1] :
( icext(sK7,X1)
| ~ icext(uri_ex_PersonAttribute,X1) ),
inference(resolution,[],[f352,f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X3,X5)
| icext(X0,X5) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ( ( ~ icext(X0,sK3(X0,X1,X2,X3))
| ~ icext(X1,sK3(X0,X1,X2,X3))
| ~ icext(X2,sK3(X0,X1,X2,X3))
| ~ icext(X3,sK3(X0,X1,X2,X3)) )
& ( ( icext(X0,sK3(X0,X1,X2,X3))
& icext(X1,sK3(X0,X1,X2,X3))
& icext(X2,sK3(X0,X1,X2,X3)) )
| icext(X3,sK3(X0,X1,X2,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) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f32,f33]) ).
fof(f33,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,sK3(X0,X1,X2,X3))
| ~ icext(X1,sK3(X0,X1,X2,X3))
| ~ icext(X2,sK3(X0,X1,X2,X3))
| ~ icext(X3,sK3(X0,X1,X2,X3)) )
& ( ( icext(X0,sK3(X0,X1,X2,X3))
& icext(X1,sK3(X0,X1,X2,X3))
& icext(X2,sK3(X0,X1,X2,X3)) )
| icext(X3,sK3(X0,X1,X2,X3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,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) ) ) )
& ( ! [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) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f31]) ).
fof(f31,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) ) ) )
& ( ! [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) ) )
| ~ sP0(X6,X4,X2,X0) ) ),
inference(flattening,[],[f30]) ).
fof(f30,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) ) ) )
& ( ! [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) ) )
| ~ sP0(X6,X4,X2,X0) ) ),
inference(nnf_transformation,[],[f19]) ).
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) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f352,plain,
sP0(sK7,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty,uri_ex_PersonAttribute),
inference(resolution,[],[f349,f49]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| sP0(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ( sP1(X0,X1,X2,X3)
| ~ sP0(X3,X2,X1,X0)
| ~ ic(X3)
| ~ ic(X2)
| ~ ic(X1)
| ~ ic(X0) )
& ( ( sP0(X3,X2,X1,X0)
& ic(X3)
& ic(X2)
& ic(X1)
& ic(X0) )
| ~ sP1(X0,X1,X2,X3) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X0,X2,X4,X6] :
( ( sP1(X0,X2,X4,X6)
| ~ sP0(X6,X4,X2,X0)
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0) )
& ( ( sP0(X6,X4,X2,X0)
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) )
| ~ sP1(X0,X2,X4,X6) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X4,X6] :
( ( sP1(X0,X2,X4,X6)
| ~ sP0(X6,X4,X2,X0)
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0) )
& ( ( sP0(X6,X4,X2,X0)
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) )
| ~ sP1(X0,X2,X4,X6) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X2,X4,X6] :
( sP1(X0,X2,X4,X6)
<=> ( sP0(X6,X4,X2,X0)
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f349,plain,
sP1(uri_ex_PersonAttribute,uri_owl_DatatypeProperty,uri_owl_FunctionalProperty,sK7),
inference(resolution,[],[f347,f61]) ).
fof(f61,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK4),
inference(cnf_transformation,[],[f36]) ).
fof(f347,plain,
! [X0] :
( ~ iext(uri_owl_intersectionOf,X0,sK4)
| sP1(X0,uri_owl_DatatypeProperty,uri_owl_FunctionalProperty,sK7) ),
inference(resolution,[],[f345,f43]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| sP1(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X3,X4)
| ~ sP1(X3,X2,X1,X0) )
& ( sP1(X3,X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,X3,X4) ) )
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X6,X4,X2,X0,X1] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ sP1(X0,X2,X4,X6) )
& ( sP1(X0,X2,X4,X6)
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ sP2(X6,X4,X2,X0,X1) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X6,X4,X2,X0,X1] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> sP1(X0,X2,X4,X6) )
| ~ sP2(X6,X4,X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f345,plain,
! [X0] : sP2(sK7,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty,X0,sK4),
inference(resolution,[],[f344,f62]) ).
fof(f62,plain,
iext(uri_rdf_first,sK4,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f36]) ).
fof(f344,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK4,X0)
| sP2(sK7,uri_owl_FunctionalProperty,X0,X1,sK4) ),
inference(resolution,[],[f342,f64]) ).
fof(f64,plain,
iext(uri_rdf_first,sK5,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f36]) ).
fof(f342,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK5,X0)
| sP2(sK7,X0,X1,X2,sK4)
| ~ iext(uri_rdf_first,sK4,X1) ),
inference(resolution,[],[f341,f66]) ).
fof(f66,plain,
iext(uri_rdf_first,sK6,sK7),
inference(cnf_transformation,[],[f36]) ).
fof(f341,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_first,sK5,X1)
| sP2(X0,X1,X2,X3,sK4)
| ~ iext(uri_rdf_first,sK4,X2) ),
inference(resolution,[],[f172,f63]) ).
fof(f63,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f36]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X4,sK5)
| sP2(X0,X1,X2,X3,X4)
| ~ iext(uri_rdf_first,sK5,X1)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(resolution,[],[f109,f65]) ).
fof(f65,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(cnf_transformation,[],[f36]) ).
fof(f109,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X5,sK6)
| ~ iext(uri_rdf_first,sK6,X0)
| sP2(X0,X1,X2,X3,X4)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(resolution,[],[f59,f67]) ).
fof(f67,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f36]) ).
fof(f59,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| sP2(X6,X4,X2,X0,X1)
| ~ 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,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP2(X6,X4,X2,X0,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,[],[f18,f21,f20,f19]) ).
fof(f18,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,[],[f17]) ).
fof(f17,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,[],[f10]) ).
fof(f10,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(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/sandbox/tmp/tmp.wKcRajiLP7/Vampire---4.8_7908',owl_bool_intersectionof_class_003) ).
fof(f398,plain,
spl8_1,
inference(avatar_split_clause,[],[f395,f74]) ).
fof(f74,plain,
( spl8_1
<=> iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f395,plain,
iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
inference(resolution,[],[f378,f39]) ).
fof(f378,plain,
icext(uri_owl_FunctionalProperty,uri_ex_name),
inference(resolution,[],[f367,f84]) ).
fof(f367,plain,
! [X2] :
( ~ icext(uri_ex_PersonAttribute,X2)
| icext(uri_owl_FunctionalProperty,X2) ),
inference(resolution,[],[f352,f52]) ).
fof(f52,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X3,X5)
| icext(X1,X5) ),
inference(cnf_transformation,[],[f34]) ).
fof(f81,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f37,f78,f74]) ).
fof(f37,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,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(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(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/sandbox/tmp/tmp.wKcRajiLP7/Vampire---4.8_7908',testcase_conclusion_fullish_012_Template_Class) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 16:22:04 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.40 % (8023)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (8028)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.18/0.41 % (8025)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.41 % (8027)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.18/0.41 % (8031)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.41 % (8026)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.18/0.41 % (8029)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.18/0.41 % (8024)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 Detected minimum model sizes of [1,1]
% 0.18/0.41 Detected maximum model sizes of [max,1]
% 0.18/0.41 TRYING [1,1]
% 0.18/0.41 Detected minimum model sizes of [1,1]
% 0.18/0.41 Detected maximum model sizes of [max,1]
% 0.18/0.41 TRYING [1,1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [2,1]
% 0.18/0.41 TRYING [2,1]
% 0.18/0.42 TRYING [3]
% 0.18/0.42 TRYING [3,1]
% 0.18/0.42 TRYING [3,1]
% 0.18/0.42 TRYING [3]
% 0.18/0.42 % (8029)First to succeed.
% 0.18/0.42 % (8029)Refutation found. Thanks to Tanya!
% 0.18/0.42 % SZS status Theorem for Vampire---4
% 0.18/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.42 % (8029)------------------------------
% 0.18/0.42 % (8029)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.42 % (8029)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.42 % (8029)Termination reason: Refutation
% 0.18/0.42
% 0.18/0.42 % (8029)Memory used [KB]: 5628
% 0.18/0.42 % (8029)Time elapsed: 0.013 s
% 0.18/0.42 % (8029)------------------------------
% 0.18/0.42 % (8029)------------------------------
% 0.18/0.42 % (8023)Success in time 0.077 s
% 0.18/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------