TSTP Solution File: SWB012+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.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 : Wed Aug 31 18:37:11 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 110 ( 16 unt; 0 def)
% Number of atoms : 538 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 651 ( 223 ~; 220 |; 174 &)
% ( 26 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 10 prp; 0-5 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-4 aty)
% Number of variables : 253 ( 233 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f634,plain,
$false,
inference(avatar_sat_refutation,[],[f81,f176,f405,f416,f437,f439,f441,f539,f543,f628]) ).
fof(f628,plain,
( spl7_15
| ~ spl7_28 ),
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f627,plain,
( $false
| spl7_15
| ~ spl7_28 ),
inference(subsumption_resolution,[],[f605,f175]) ).
fof(f175,plain,
( ~ icext(sK5,uri_ex_name)
| spl7_15 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl7_15
<=> icext(sK5,uri_ex_name) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
fof(f605,plain,
( icext(sK5,uri_ex_name)
| ~ spl7_28 ),
inference(resolution,[],[f589,f84]) ).
fof(f84,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(resolution,[],[f55,f68]) ).
fof(f68,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( iext(uri_owl_onProperty,sK5,uri_rdfs_domain)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,sK5,uri_owl_Restriction)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_first,sK6,sK5)
& iext(uri_rdf_rest,sK3,sK6)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK4)
& iext(uri_rdf_first,sK3,uri_owl_FunctionalProperty)
& iext(uri_owl_hasValue,sK5,uri_foaf_Person)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_rdf_first,sK4,uri_owl_DatatypeProperty)
& iext(uri_rdf_rest,sK4,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f36,f37]) ).
fof(f37,plain,
( ? [X0,X1,X2,X3] :
( iext(uri_owl_onProperty,X2,uri_rdfs_domain)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,X2,uri_owl_Restriction)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_first,X3,X2)
& iext(uri_rdf_rest,X0,X3)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X1)
& iext(uri_rdf_first,X0,uri_owl_FunctionalProperty)
& iext(uri_owl_hasValue,X2,uri_foaf_Person)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_rdf_first,X1,uri_owl_DatatypeProperty)
& iext(uri_rdf_rest,X1,X0) )
=> ( iext(uri_owl_onProperty,sK5,uri_rdfs_domain)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,sK5,uri_owl_Restriction)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_first,sK6,sK5)
& iext(uri_rdf_rest,sK3,sK6)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK4)
& iext(uri_rdf_first,sK3,uri_owl_FunctionalProperty)
& iext(uri_owl_hasValue,sK5,uri_foaf_Person)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_rdf_first,sK4,uri_owl_DatatypeProperty)
& iext(uri_rdf_rest,sK4,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1,X2,X3] :
( iext(uri_owl_onProperty,X2,uri_rdfs_domain)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,X2,uri_owl_Restriction)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_first,X3,X2)
& iext(uri_rdf_rest,X0,X3)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X1)
& iext(uri_rdf_first,X0,uri_owl_FunctionalProperty)
& iext(uri_owl_hasValue,X2,uri_foaf_Person)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_rdf_first,X1,uri_owl_DatatypeProperty)
& iext(uri_rdf_rest,X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
? [X1,X0,X3,X2] :
( iext(uri_owl_onProperty,X3,uri_rdfs_domain)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,X3,uri_owl_Restriction)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X0)
& iext(uri_rdf_first,X1,uri_owl_FunctionalProperty)
& iext(uri_owl_hasValue,X3,uri_foaf_Person)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_rdf_first,X0,uri_owl_DatatypeProperty)
& iext(uri_rdf_rest,X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
? [X12,X13,X14,X15] :
( iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X12)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_first,X12,uri_owl_DatatypeProperty)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_rest,X14,uri_rdf_nil)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_owl_hasValue,X15,uri_foaf_Person)
& iext(uri_rdf_first,X14,X15)
& iext(uri_owl_onProperty,X15,uri_rdfs_domain)
& iext(uri_rdf_type,X15,uri_owl_Restriction)
& iext(uri_rdf_rest,X13,X14)
& iext(uri_rdf_first,X13,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
fof(f55,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) )
& ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ( icext(X0,X1)
| ~ iext(uri_rdf_type,X1,X0) )
& ( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( icext(X0,X1)
<=> iext(uri_rdf_type,X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( icext(X1,X0)
<=> iext(uri_rdf_type,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f589,plain,
( ! [X0] :
( ~ icext(uri_ex_PersonAttribute,X0)
| icext(sK5,X0) )
| ~ spl7_28 ),
inference(resolution,[],[f455,f67]) ).
fof(f67,plain,
iext(uri_rdf_first,sK6,sK5),
inference(cnf_transformation,[],[f38]) ).
fof(f455,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK6,X0)
| icext(X0,X1)
| ~ icext(uri_ex_PersonAttribute,X1) )
| ~ spl7_28 ),
inference(resolution,[],[f415,f65]) ).
fof(f65,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK4),
inference(cnf_transformation,[],[f38]) ).
fof(f415,plain,
( ! [X18,X14,X15] :
( ~ iext(uri_owl_intersectionOf,X14,sK4)
| ~ iext(uri_rdf_first,sK6,X15)
| ~ icext(X14,X18)
| icext(X15,X18) )
| ~ spl7_28 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl7_28
<=> ! [X18,X14,X15] :
( ~ iext(uri_owl_intersectionOf,X14,sK4)
| ~ icext(X14,X18)
| icext(X15,X18)
| ~ iext(uri_rdf_first,sK6,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).
fof(f543,plain,
( ~ spl7_14
| spl7_2 ),
inference(avatar_split_clause,[],[f542,f78,f169]) ).
fof(f169,plain,
( spl7_14
<=> icext(uri_foaf_Person,uri_ex_alice) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
fof(f78,plain,
( spl7_2
<=> iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f542,plain,
( ~ icext(uri_foaf_Person,uri_ex_alice)
| spl7_2 ),
inference(resolution,[],[f80,f54]) ).
fof(f54,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f80,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| spl7_2 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f539,plain,
( spl7_1
| ~ spl7_25 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| spl7_1
| ~ spl7_25 ),
inference(subsumption_resolution,[],[f512,f82]) ).
fof(f82,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_ex_name)
| spl7_1 ),
inference(resolution,[],[f54,f76]) ).
fof(f76,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| spl7_1 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl7_1
<=> iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f512,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_name)
| ~ spl7_25 ),
inference(resolution,[],[f511,f84]) ).
fof(f511,plain,
( ! [X0] :
( ~ icext(uri_ex_PersonAttribute,X0)
| icext(uri_owl_FunctionalProperty,X0) )
| ~ spl7_25 ),
inference(resolution,[],[f454,f64]) ).
fof(f64,plain,
iext(uri_rdf_first,sK3,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f38]) ).
fof(f454,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK3,X1)
| ~ icext(uri_ex_PersonAttribute,X0)
| icext(X1,X0) )
| ~ spl7_25 ),
inference(resolution,[],[f404,f65]) ).
fof(f404,plain,
( ! [X19,X22,X23] :
( ~ iext(uri_owl_intersectionOf,X19,sK4)
| ~ icext(X19,X23)
| icext(X22,X23)
| ~ iext(uri_rdf_first,sK3,X22) )
| ~ spl7_25 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f403,plain,
( spl7_25
<=> ! [X22,X23,X19] :
( ~ iext(uri_owl_intersectionOf,X19,sK4)
| ~ iext(uri_rdf_first,sK3,X22)
| icext(X22,X23)
| ~ icext(X19,X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).
fof(f441,plain,
~ spl7_26,
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f440,plain,
( $false
| ~ spl7_26 ),
inference(resolution,[],[f408,f64]) ).
fof(f408,plain,
( ! [X3] : ~ iext(uri_rdf_first,sK3,X3)
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f407,plain,
( spl7_26
<=> ! [X3] : ~ iext(uri_rdf_first,sK3,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_26])]) ).
fof(f439,plain,
~ spl7_24,
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| ~ spl7_24 ),
inference(resolution,[],[f401,f67]) ).
fof(f401,plain,
( ! [X20] : ~ iext(uri_rdf_first,sK6,X20)
| ~ spl7_24 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f400,plain,
( spl7_24
<=> ! [X20] : ~ iext(uri_rdf_first,sK6,X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).
fof(f437,plain,
~ spl7_23,
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f436,plain,
( $false
| ~ spl7_23 ),
inference(resolution,[],[f398,f61]) ).
fof(f61,plain,
iext(uri_rdf_first,sK4,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f38]) ).
fof(f398,plain,
( ! [X21] : ~ iext(uri_rdf_first,sK4,X21)
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f397,plain,
( spl7_23
<=> ! [X21] : ~ iext(uri_rdf_first,sK4,X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
fof(f416,plain,
( spl7_23
| spl7_28
| spl7_26 ),
inference(avatar_split_clause,[],[f391,f407,f414,f397]) ).
fof(f391,plain,
! [X18,X16,X14,X17,X15] :
( ~ iext(uri_rdf_first,sK3,X17)
| ~ iext(uri_owl_intersectionOf,X14,sK4)
| ~ iext(uri_rdf_first,sK4,X16)
| icext(X15,X18)
| ~ iext(uri_rdf_first,sK6,X15)
| ~ icext(X14,X18) ),
inference(resolution,[],[f234,f44]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X3,X5)
| icext(X1,X5) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ( ( ~ 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))
| ( icext(X0,sK2(X0,X1,X2,X3))
& icext(X1,sK2(X0,X1,X2,X3))
& icext(X2,sK2(X0,X1,X2,X3)) ) ) )
| ~ ic(X3) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ! [X5] :
( ( ( icext(X0,X5)
& icext(X1,X5)
& icext(X2,X5) )
| ~ icext(X3,X5) )
& ( icext(X3,X5)
| ~ icext(X0,X5)
| ~ icext(X1,X5)
| ~ icext(X2,X5) ) )
& ic(X3) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( ( ~ icext(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,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))
| ( icext(X0,sK2(X0,X1,X2,X3))
& icext(X1,sK2(X0,X1,X2,X3))
& icext(X2,sK2(X0,X1,X2,X3)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ? [X4] :
( ( ~ icext(X3,X4)
| ~ icext(X0,X4)
| ~ icext(X1,X4)
| ~ icext(X2,X4) )
& ( icext(X3,X4)
| ( icext(X0,X4)
& icext(X1,X4)
& icext(X2,X4) ) ) )
| ~ ic(X3) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ! [X5] :
( ( ( icext(X0,X5)
& icext(X1,X5)
& icext(X2,X5) )
| ~ icext(X3,X5) )
& ( icext(X3,X5)
| ~ icext(X0,X5)
| ~ icext(X1,X5)
| ~ icext(X2,X5) ) )
& ic(X3) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X4,X6,X0,X3] :
( ( sP0(X4,X6,X0,X3)
| ~ ic(X4)
| ~ ic(X6)
| ~ ic(X0)
| ? [X7] :
( ( ~ icext(X3,X7)
| ~ icext(X4,X7)
| ~ icext(X6,X7)
| ~ icext(X0,X7) )
& ( icext(X3,X7)
| ( icext(X4,X7)
& icext(X6,X7)
& icext(X0,X7) ) ) )
| ~ ic(X3) )
& ( ( ic(X4)
& ic(X6)
& ic(X0)
& ! [X7] :
( ( ( icext(X4,X7)
& icext(X6,X7)
& icext(X0,X7) )
| ~ icext(X3,X7) )
& ( icext(X3,X7)
| ~ icext(X4,X7)
| ~ icext(X6,X7)
| ~ icext(X0,X7) ) )
& ic(X3) )
| ~ sP0(X4,X6,X0,X3) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X4,X6,X0,X3] :
( ( sP0(X4,X6,X0,X3)
| ~ ic(X4)
| ~ ic(X6)
| ~ ic(X0)
| ? [X7] :
( ( ~ icext(X3,X7)
| ~ icext(X4,X7)
| ~ icext(X6,X7)
| ~ icext(X0,X7) )
& ( icext(X3,X7)
| ( icext(X4,X7)
& icext(X6,X7)
& icext(X0,X7) ) ) )
| ~ ic(X3) )
& ( ( ic(X4)
& ic(X6)
& ic(X0)
& ! [X7] :
( ( ( icext(X4,X7)
& icext(X6,X7)
& icext(X0,X7) )
| ~ icext(X3,X7) )
& ( icext(X3,X7)
| ~ icext(X4,X7)
| ~ icext(X6,X7)
| ~ icext(X0,X7) ) )
& ic(X3) )
| ~ sP0(X4,X6,X0,X3) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X4,X6,X0,X3] :
( sP0(X4,X6,X0,X3)
<=> ( ic(X4)
& ic(X6)
& ic(X0)
& ! [X7] :
( ( icext(X4,X7)
& icext(X6,X7)
& icext(X0,X7) )
<=> icext(X3,X7) )
& ic(X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( sP0(X2,X1,X0,X3)
| ~ iext(uri_owl_intersectionOf,X3,sK4)
| ~ iext(uri_rdf_first,sK6,X1)
| ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(uri_rdf_first,sK3,X2) ),
inference(resolution,[],[f233,f40]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_intersectionOf,X1,X0)
| sP0(X4,X3,X2,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4] :
( ( ( sP0(X4,X3,X2,X1)
| ~ iext(uri_owl_intersectionOf,X1,X0) )
& ( iext(uri_owl_intersectionOf,X1,X0)
| ~ sP0(X4,X3,X2,X1) ) )
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X2,X3,X0,X6,X4] :
( ( ( sP0(X4,X6,X0,X3)
| ~ iext(uri_owl_intersectionOf,X3,X2) )
& ( iext(uri_owl_intersectionOf,X3,X2)
| ~ sP0(X4,X6,X0,X3) ) )
| ~ sP1(X2,X3,X0,X6,X4) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X3,X0,X6,X4] :
( ( sP0(X4,X6,X0,X3)
<=> iext(uri_owl_intersectionOf,X3,X2) )
| ~ sP1(X2,X3,X0,X6,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( sP1(sK4,X1,X2,X0,X3)
| ~ iext(uri_rdf_first,sK4,X2)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_first,sK3,X3) ),
inference(subsumption_resolution,[],[f232,f69]) ).
fof(f69,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f38]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK4,X2)
| ~ iext(uri_rdf_first,sK3,X3)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK6,X0)
| sP1(sK4,X1,X2,X0,X3) ),
inference(resolution,[],[f100,f66]) ).
fof(f66,plain,
iext(uri_rdf_rest,sK3,sK6),
inference(cnf_transformation,[],[f38]) ).
fof(f100,plain,
! [X8,X6,X9,X7,X5] :
( ~ iext(uri_rdf_rest,sK3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| sP1(sK4,X9,X7,X6,X8)
| ~ iext(uri_rdf_first,sK3,X8)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK4,X7) ),
inference(resolution,[],[f53,f60]) ).
fof(f60,plain,
iext(uri_rdf_rest,sK4,sK3),
inference(cnf_transformation,[],[f38]) ).
fof(f53,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X5,X3)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,X4)
| sP1(X5,X6,X1,X2,X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X5,X3)
| sP1(X5,X6,X1,X2,X0)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X5,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X4,X0,X6,X1,X5,X2,X3] :
( ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_rest,X2,X1)
| sP1(X2,X3,X0,X6,X4)
| ~ iext(uri_rdf_rest,X1,X5)
| ~ iext(uri_rdf_first,X2,X0) ),
inference(definition_folding,[],[f17,f21,f20]) ).
fof(f17,plain,
! [X4,X0,X6,X1,X5,X2,X3] :
( ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_rest,X2,X1)
| ( ( ic(X4)
& ic(X6)
& ic(X0)
& ! [X7] :
( ( icext(X4,X7)
& icext(X6,X7)
& icext(X0,X7) )
<=> icext(X3,X7) )
& ic(X3) )
<=> iext(uri_owl_intersectionOf,X3,X2) )
| ~ iext(uri_rdf_rest,X1,X5)
| ~ iext(uri_rdf_first,X2,X0) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X5,X6,X1,X4,X2,X3,X0] :
( ( ( ic(X4)
& ic(X6)
& ic(X0)
& ! [X7] :
( ( icext(X4,X7)
& icext(X6,X7)
& icext(X0,X7) )
<=> icext(X3,X7) )
& ic(X3) )
<=> iext(uri_owl_intersectionOf,X3,X2) )
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_rest,X2,X1)
| ~ iext(uri_rdf_rest,X1,X5)
| ~ iext(uri_rdf_first,X2,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X5,X6,X1,X4,X2,X3,X0] :
( ( iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_rdf_first,X1,X4)
& iext(uri_rdf_rest,X2,X1)
& iext(uri_rdf_rest,X1,X5)
& iext(uri_rdf_first,X2,X0) )
=> ( ( ic(X4)
& ic(X6)
& ic(X0)
& ! [X7] :
( ( icext(X4,X7)
& icext(X6,X7)
& icext(X0,X7) )
<=> icext(X3,X7) )
& ic(X3) )
<=> iext(uri_owl_intersectionOf,X3,X2) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X6,X7,X5,X4,X8,X9,X10] :
( ( iext(uri_rdf_rest,X7,X9)
& iext(uri_rdf_rest,X5,X7)
& iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_first,X9,X10)
& iext(uri_rdf_rest,X9,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,X4,X5)
<=> ( ic(X8)
& ! [X0] :
( icext(X4,X0)
<=> ( icext(X6,X0)
& icext(X8,X0)
& icext(X10,X0) ) )
& ic(X10)
& ic(X6)
& ic(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
fof(f405,plain,
( spl7_23
| spl7_24
| spl7_25 ),
inference(avatar_split_clause,[],[f392,f403,f400,f397]) ).
fof(f392,plain,
! [X21,X19,X22,X23,X20] :
( ~ iext(uri_owl_intersectionOf,X19,sK4)
| ~ icext(X19,X23)
| ~ iext(uri_rdf_first,sK3,X22)
| ~ iext(uri_rdf_first,sK6,X20)
| icext(X22,X23)
| ~ iext(uri_rdf_first,sK4,X21) ),
inference(resolution,[],[f234,f45]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X3,X5)
| icext(X0,X5) ),
inference(cnf_transformation,[],[f29]) ).
fof(f176,plain,
( spl7_14
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f105,f173,f169]) ).
fof(f105,plain,
( ~ icext(sK5,uri_ex_name)
| icext(uri_foaf_Person,uri_ex_alice) ),
inference(resolution,[],[f98,f71]) ).
fof(f71,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[],[f38]) ).
fof(f98,plain,
! [X2,X3,X1] :
( ~ iext(X1,X2,X3)
| ~ icext(sK5,X1)
| icext(uri_foaf_Person,X2) ),
inference(resolution,[],[f90,f58]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_domain,X3,X1)
| icext(X1,X0)
| ~ iext(X3,X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdfs_domain,X3,X1)
| icext(X1,X0)
| ~ iext(X3,X0,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X3,X1,X2,X0] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X3)
| ~ iext(X0,X3,X2) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X3,X2] :
( icext(X1,X3)
| ~ iext(X0,X3,X2)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X3,X2] :
( ( iext(X0,X3,X2)
& iext(uri_rdfs_domain,X0,X1) )
=> icext(X1,X3) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X3,X0] :
( ( iext(X2,X0,X3)
& iext(uri_rdfs_domain,X2,X1) )
=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f90,plain,
! [X0] :
( iext(uri_rdfs_domain,X0,uri_foaf_Person)
| ~ icext(sK5,X0) ),
inference(resolution,[],[f89,f63]) ).
fof(f63,plain,
iext(uri_owl_hasValue,sK5,uri_foaf_Person),
inference(cnf_transformation,[],[f38]) ).
fof(f89,plain,
! [X0,X1] :
( ~ iext(uri_owl_hasValue,sK5,X0)
| ~ icext(sK5,X1)
| iext(uri_rdfs_domain,X1,X0) ),
inference(resolution,[],[f57,f72]) ).
fof(f72,plain,
iext(uri_owl_onProperty,sK5,uri_rdfs_domain),
inference(cnf_transformation,[],[f38]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X2,X1)
| ~ iext(uri_owl_hasValue,X2,X0)
| ~ icext(X2,X3)
| iext(X1,X3,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X2,X1)
| ! [X3] :
( ( iext(X1,X3,X0)
| ~ icext(X2,X3) )
& ( icext(X2,X3)
| ~ iext(X1,X3,X0) ) )
| ~ iext(uri_owl_hasValue,X2,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0] :
( ~ iext(uri_owl_onProperty,X0,X2)
| ! [X3] :
( ( iext(X2,X3,X1)
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ~ iext(X2,X3,X1) ) )
| ~ iext(uri_owl_hasValue,X0,X1) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X2,X0] :
( ~ iext(uri_owl_onProperty,X0,X2)
| ! [X3] :
( iext(X2,X3,X1)
<=> icext(X0,X3) )
| ~ iext(uri_owl_hasValue,X0,X1) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X2,X1,X0] :
( ! [X3] :
( iext(X2,X3,X1)
<=> icext(X0,X3) )
| ~ iext(uri_owl_hasValue,X0,X1)
| ~ iext(uri_owl_onProperty,X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X2,X1,X0] :
( ( iext(uri_owl_hasValue,X0,X1)
& iext(uri_owl_onProperty,X0,X2) )
=> ! [X3] :
( iext(X2,X3,X1)
<=> icext(X0,X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X4,X11,X2] :
( ( iext(uri_owl_onProperty,X4,X2)
& iext(uri_owl_hasValue,X4,X11) )
=> ! [X0] :
( iext(X2,X0,X11)
<=> icext(X4,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
fof(f81,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f59,f78,f74]) ).
fof(f59,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,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_name,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 17:30:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 % (1021)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.47 % (1039)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.50 % (1045)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.51 % (1039)First to succeed.
% 0.21/0.51 % (1039)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (1039)------------------------------
% 0.21/0.51 % (1039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (1039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (1039)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (1039)Memory used [KB]: 5756
% 0.21/0.51 % (1039)Time elapsed: 0.097 s
% 0.21/0.51 % (1039)Instructions burned: 17 (million)
% 0.21/0.51 % (1039)------------------------------
% 0.21/0.51 % (1039)------------------------------
% 0.21/0.51 % (1007)Success in time 0.151 s
%------------------------------------------------------------------------------