TSTP Solution File: SWB012+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n019.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 20:13:26 EDT 2023
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 104 ( 26 unt; 0 def)
% Number of atoms : 530 ( 0 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 686 ( 260 ~; 240 |; 152 &)
% ( 26 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 3 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-4 aty)
% Number of variables : 261 (; 245 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f295,plain,
$false,
inference(avatar_sat_refutation,[],[f165,f262,f294]) ).
fof(f294,plain,
spl54_2,
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| spl54_2 ),
inference(unit_resulting_resolution,[],[f273,f270,f56,f55,f31]) ).
fof(f31,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,[],[f20]) ).
fof(f20,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.8l2PvVqJFx/Vampire---4.8_10954',owl_restrict_hasvalue) ).
fof(f55,plain,
iext(uri_owl_onProperty,sK4,uri_rdfs_domain),
inference(cnf_transformation,[],[f27]) ).
fof(f27,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,sK4,uri_foaf_Person)
& iext(uri_owl_onProperty,sK4,uri_rdfs_domain)
& iext(uri_rdf_type,sK4,uri_owl_Restriction)
& iext(uri_rdf_rest,sK3,uri_rdf_nil)
& iext(uri_rdf_first,sK3,sK4)
& iext(uri_rdf_rest,sK2,sK3)
& iext(uri_rdf_first,sK2,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK1,sK2)
& iext(uri_rdf_first,sK1,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK1)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f11,f26]) ).
fof(f26,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,sK4,uri_foaf_Person)
& iext(uri_owl_onProperty,sK4,uri_rdfs_domain)
& iext(uri_rdf_type,sK4,uri_owl_Restriction)
& iext(uri_rdf_rest,sK3,uri_rdf_nil)
& iext(uri_rdf_first,sK3,sK4)
& iext(uri_rdf_rest,sK2,sK3)
& iext(uri_rdf_first,sK2,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK1,sK2)
& iext(uri_rdf_first,sK1,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK1)
& 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.8l2PvVqJFx/Vampire---4.8_10954',testcase_premise_fullish_012_Template_Class) ).
fof(f56,plain,
iext(uri_owl_hasValue,sK4,uri_foaf_Person),
inference(cnf_transformation,[],[f27]) ).
fof(f270,plain,
( ~ iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person)
| spl54_2 ),
inference(unit_resulting_resolution,[],[f234,f269,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2)
| ~ sP5(X0,X2) ),
inference(general_splitting,[],[f33,f59_D]) ).
fof(f59,plain,
! [X2,X3,X0] :
( ~ iext(X0,X2,X3)
| sP5(X0,X2) ),
inference(cnf_transformation,[],[f59_D]) ).
fof(f59_D,plain,
! [X2,X0] :
( ! [X3] : ~ iext(X0,X2,X3)
<=> ~ sP5(X0,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
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.8l2PvVqJFx/Vampire---4.8_10954',rdfs_domain_main) ).
fof(f269,plain,
( ~ icext(uri_foaf_Person,uri_ex_alice)
| spl54_2 ),
inference(unit_resulting_resolution,[],[f164,f30]) ).
fof(f30,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,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.8l2PvVqJFx/Vampire---4.8_10954',rdfs_cext_def) ).
fof(f164,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| spl54_2 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl54_2
<=> iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_2])]) ).
fof(f234,plain,
sP5(uri_ex_name,uri_ex_alice),
inference(unit_resulting_resolution,[],[f58,f59]) ).
fof(f58,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[],[f27]) ).
fof(f273,plain,
icext(sK4,uri_ex_name),
inference(unit_resulting_resolution,[],[f256,f52,f53,f96]) ).
fof(f96,plain,
! [X8,X6,X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| icext(X6,X8)
| ~ iext(uri_rdf_first,X5,X6)
| ~ sP23(X5,X8) ),
inference(general_splitting,[],[f94,f95_D]) ).
fof(f95,plain,
! [X1,X8,X5] :
( ~ sP22(X8,X1)
| ~ sP21(X5,X1)
| ~ sP19(X1)
| sP23(X5,X8) ),
inference(cnf_transformation,[],[f95_D]) ).
fof(f95_D,plain,
! [X8,X5] :
( ! [X1] :
( ~ sP22(X8,X1)
| ~ sP21(X5,X1)
| ~ sP19(X1) )
<=> ~ sP23(X5,X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f94,plain,
! [X1,X8,X6,X5] :
( icext(X6,X8)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ sP19(X1)
| ~ sP21(X5,X1)
| ~ sP22(X8,X1) ),
inference(general_splitting,[],[f92,f93_D]) ).
fof(f93,plain,
! [X0,X1,X8] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ icext(X0,X8)
| sP22(X8,X1) ),
inference(cnf_transformation,[],[f93_D]) ).
fof(f93_D,plain,
! [X1,X8] :
( ! [X0] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ icext(X0,X8) )
<=> ~ sP22(X8,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f92,plain,
! [X0,X1,X8,X6,X5] :
( icext(X6,X8)
| ~ icext(X0,X8)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ sP19(X1)
| ~ sP21(X5,X1) ),
inference(general_splitting,[],[f90,f91_D]) ).
fof(f91,plain,
! [X3,X1,X5] :
( ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ sP20(X3)
| sP21(X5,X1) ),
inference(cnf_transformation,[],[f91_D]) ).
fof(f91_D,plain,
! [X1,X5] :
( ! [X3] :
( ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ sP20(X3) )
<=> ~ sP21(X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f90,plain,
! [X3,X0,X1,X8,X6,X5] :
( icext(X6,X8)
| ~ icext(X0,X8)
| ~ iext(uri_owl_intersectionOf,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_rest,X1,X3)
| ~ sP19(X1)
| ~ sP20(X3) ),
inference(general_splitting,[],[f88,f89_D]) ).
fof(f89,plain,
! [X3,X4] :
( ~ iext(uri_rdf_first,X3,X4)
| sP20(X3) ),
inference(cnf_transformation,[],[f89_D]) ).
fof(f89_D,plain,
! [X3] :
( ! [X4] : ~ iext(uri_rdf_first,X3,X4)
<=> ~ sP20(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f88,plain,
! [X3,X0,X1,X8,X6,X4,X5] :
( icext(X6,X8)
| ~ icext(X0,X8)
| ~ iext(uri_owl_intersectionOf,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)
| ~ sP19(X1) ),
inference(general_splitting,[],[f40,f87_D]) ).
fof(f87,plain,
! [X2,X1] :
( ~ iext(uri_rdf_first,X1,X2)
| sP19(X1) ),
inference(cnf_transformation,[],[f87_D]) ).
fof(f87_D,plain,
! [X1] :
( ! [X2] : ~ iext(uri_rdf_first,X1,X2)
<=> ~ sP19(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( icext(X6,X8)
| ~ icext(X0,X8)
| ~ iext(uri_owl_intersectionOf,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(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ( ( ~ icext(X6,sK0(X0,X2,X4,X6))
| ~ icext(X4,sK0(X0,X2,X4,X6))
| ~ icext(X2,sK0(X0,X2,X4,X6))
| ~ icext(X0,sK0(X0,X2,X4,X6)) )
& ( ( icext(X6,sK0(X0,X2,X4,X6))
& icext(X4,sK0(X0,X2,X4,X6))
& icext(X2,sK0(X0,X2,X4,X6)) )
| icext(X0,sK0(X0,X2,X4,X6)) ) )
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0) )
& ( ( ! [X8] :
( ( icext(X0,X8)
| ~ icext(X6,X8)
| ~ icext(X4,X8)
| ~ icext(X2,X8) )
& ( ( icext(X6,X8)
& icext(X4,X8)
& icext(X2,X8) )
| ~ icext(X0,X8) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) )
| ~ iext(uri_owl_intersectionOf,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(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).
fof(f24,plain,
! [X0,X2,X4,X6] :
( ? [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) ) )
=> ( ( ~ icext(X6,sK0(X0,X2,X4,X6))
| ~ icext(X4,sK0(X0,X2,X4,X6))
| ~ icext(X2,sK0(X0,X2,X4,X6))
| ~ icext(X0,sK0(X0,X2,X4,X6)) )
& ( ( icext(X6,sK0(X0,X2,X4,X6))
& icext(X4,sK0(X0,X2,X4,X6))
& icext(X2,sK0(X0,X2,X4,X6)) )
| icext(X0,sK0(X0,X2,X4,X6)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ? [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) )
& ( ( ! [X8] :
( ( icext(X0,X8)
| ~ icext(X6,X8)
| ~ icext(X4,X8)
| ~ icext(X2,X8) )
& ( ( icext(X6,X8)
& icext(X4,X8)
& icext(X2,X8) )
| ~ icext(X0,X8) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) )
| ~ iext(uri_owl_intersectionOf,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(rectify,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ? [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) )
| ~ iext(uri_owl_intersectionOf,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(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ? [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) )
| ~ iext(uri_owl_intersectionOf,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(nnf_transformation,[],[f18]) ).
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.8l2PvVqJFx/Vampire---4.8_10954',owl_bool_intersectionof_class_003) ).
fof(f53,plain,
iext(uri_rdf_rest,sK3,uri_rdf_nil),
inference(cnf_transformation,[],[f27]) ).
fof(f52,plain,
iext(uri_rdf_first,sK3,sK4),
inference(cnf_transformation,[],[f27]) ).
fof(f256,plain,
sP23(sK3,uri_ex_name),
inference(unit_resulting_resolution,[],[f166,f236,f254,f95]) ).
fof(f254,plain,
sP21(sK3,sK1),
inference(unit_resulting_resolution,[],[f170,f49,f51,f91]) ).
fof(f51,plain,
iext(uri_rdf_rest,sK2,sK3),
inference(cnf_transformation,[],[f27]) ).
fof(f49,plain,
iext(uri_rdf_rest,sK1,sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f170,plain,
sP20(sK2),
inference(unit_resulting_resolution,[],[f50,f89]) ).
fof(f50,plain,
iext(uri_rdf_first,sK2,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f27]) ).
fof(f236,plain,
sP22(uri_ex_name,sK1),
inference(unit_resulting_resolution,[],[f216,f47,f93]) ).
fof(f47,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK1),
inference(cnf_transformation,[],[f27]) ).
fof(f216,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(unit_resulting_resolution,[],[f57,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f57,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[],[f27]) ).
fof(f166,plain,
sP19(sK1),
inference(unit_resulting_resolution,[],[f48,f87]) ).
fof(f48,plain,
iext(uri_rdf_first,sK1,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f27]) ).
fof(f262,plain,
spl54_1,
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f261,plain,
( $false
| spl54_1 ),
inference(unit_resulting_resolution,[],[f242,f241,f50,f49,f103]) ).
fof(f103,plain,
! [X3,X1,X4] :
( ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ sP26(X3)
| sP27(X4,X1) ),
inference(cnf_transformation,[],[f103_D]) ).
fof(f103_D,plain,
! [X1,X4] :
( ! [X3] :
( ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ sP26(X3) )
<=> ~ sP27(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).
fof(f241,plain,
( ~ sP27(uri_owl_FunctionalProperty,sK1)
| spl54_1 ),
inference(unit_resulting_resolution,[],[f218,f172,f237,f106]) ).
fof(f106,plain,
! [X1,X8,X4] :
( ~ sP28(X8,X1)
| ~ sP24(X1)
| ~ sP27(X4,X1)
| icext(X4,X8) ),
inference(general_splitting,[],[f104,f105_D]) ).
fof(f105,plain,
! [X0,X1,X8] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ icext(X0,X8)
| sP28(X8,X1) ),
inference(cnf_transformation,[],[f105_D]) ).
fof(f105_D,plain,
! [X1,X8] :
( ! [X0] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ icext(X0,X8) )
<=> ~ sP28(X8,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).
fof(f104,plain,
! [X0,X1,X8,X4] :
( icext(X4,X8)
| ~ icext(X0,X8)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ sP24(X1)
| ~ sP27(X4,X1) ),
inference(general_splitting,[],[f102,f103_D]) ).
fof(f102,plain,
! [X3,X0,X1,X8,X4] :
( icext(X4,X8)
| ~ icext(X0,X8)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ sP24(X1)
| ~ sP26(X3) ),
inference(general_splitting,[],[f100,f101_D]) ).
fof(f101,plain,
! [X3,X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ sP25(X5)
| sP26(X3) ),
inference(cnf_transformation,[],[f101_D]) ).
fof(f101_D,plain,
! [X3] :
( ! [X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ sP25(X5) )
<=> ~ sP26(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f100,plain,
! [X3,X0,X1,X8,X4,X5] :
( icext(X4,X8)
| ~ icext(X0,X8)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ sP24(X1)
| ~ sP25(X5) ),
inference(general_splitting,[],[f98,f99_D]) ).
fof(f99,plain,
! [X6,X5] :
( ~ iext(uri_rdf_first,X5,X6)
| sP25(X5) ),
inference(cnf_transformation,[],[f99_D]) ).
fof(f99_D,plain,
! [X5] :
( ! [X6] : ~ iext(uri_rdf_first,X5,X6)
<=> ~ sP25(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f98,plain,
! [X3,X0,X1,X8,X6,X4,X5] :
( icext(X4,X8)
| ~ icext(X0,X8)
| ~ iext(uri_owl_intersectionOf,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)
| ~ sP24(X1) ),
inference(general_splitting,[],[f39,f97_D]) ).
fof(f97,plain,
! [X2,X1] :
( ~ iext(uri_rdf_first,X1,X2)
| sP24(X1) ),
inference(cnf_transformation,[],[f97_D]) ).
fof(f97_D,plain,
! [X1] :
( ! [X2] : ~ iext(uri_rdf_first,X1,X2)
<=> ~ sP24(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).
fof(f39,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( icext(X4,X8)
| ~ icext(X0,X8)
| ~ iext(uri_owl_intersectionOf,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(cnf_transformation,[],[f25]) ).
fof(f237,plain,
sP28(uri_ex_name,sK1),
inference(unit_resulting_resolution,[],[f216,f47,f105]) ).
fof(f172,plain,
sP24(sK1),
inference(unit_resulting_resolution,[],[f48,f97]) ).
fof(f218,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_ex_name)
| spl54_1 ),
inference(unit_resulting_resolution,[],[f160,f30]) ).
fof(f160,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| spl54_1 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl54_1
<=> iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_1])]) ).
fof(f242,plain,
sP26(sK2),
inference(unit_resulting_resolution,[],[f177,f51,f53,f101]) ).
fof(f177,plain,
sP25(sK3),
inference(unit_resulting_resolution,[],[f52,f99]) ).
fof(f165,plain,
( ~ spl54_1
| ~ spl54_2 ),
inference(avatar_split_clause,[],[f28,f162,f158]) ).
fof(f28,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.8l2PvVqJFx/Vampire---4.8_10954',testcase_conclusion_fullish_012_Template_Class) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 06:48:43 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.8l2PvVqJFx/Vampire---4.8_10954
% 0.15/0.37 % (11104)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (11113)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.42 % (11114)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.21/0.42 % (11105)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.42 % (11108)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.42 % (11110)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.43 % (11111)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43 % (11107)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.43 % (11113)First to succeed.
% 0.21/0.43 % (11108)Also succeeded, but the first one will report.
% 0.21/0.44 % (11113)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for Vampire---4
% 0.21/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (11113)------------------------------
% 0.21/0.44 % (11113)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (11113)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (11113)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (11113)Memory used [KB]: 5628
% 0.21/0.44 % (11113)Time elapsed: 0.016 s
% 0.21/0.44 % (11113)------------------------------
% 0.21/0.44 % (11113)------------------------------
% 0.21/0.44 % (11104)Success in time 0.069 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------