TSTP Solution File: SWB013+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : 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 : Tue Apr 30 15:41:45 EDT 2024
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of formulae : 146 ( 45 unt; 0 def)
% Number of atoms : 685 ( 8 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 787 ( 248 ~; 231 |; 255 &)
% ( 37 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-5 aty)
% Number of functors : 36 ( 36 usr; 26 con; 0-4 aty)
% Number of variables : 453 ( 400 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4268,plain,
$false,
inference(unit_resulting_resolution,[],[f3619,f3603,f132,f133,f148]) ).
fof(f148,plain,
! [X3,X1,X6,X4] :
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ sP25(X3,X6)
| sP26(X4,X6,X1) ),
inference(cnf_transformation,[],[f148_D]) ).
fof(f148_D,plain,
! [X1,X6,X4] :
( ! [X3] :
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ sP25(X3,X6) )
<=> ~ sP26(X4,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f133,plain,
iext(uri_rdf_first,sK21,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
& iext(uri_owl_inverseOf,sK19,uri_rdf_type)
& iext(uri_rdf_rest,sK22,uri_rdf_nil)
& iext(uri_rdf_first,sK22,sK19)
& iext(uri_rdf_rest,sK21,sK22)
& iext(uri_rdf_first,sK21,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,sK20,sK21)
& iext(uri_rdf_first,sK20,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK20)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,sK18,uri_ex_Clique)
& iext(uri_owl_onProperty,sK18,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,sK18,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,sK18)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22])],[f18,f73]) ).
fof(f73,plain,
( ? [X0,X1,X2,X3,X4] :
( iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
& iext(uri_owl_inverseOf,X1,uri_rdf_type)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X4,X1)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X3,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X2)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,X0,uri_ex_Clique)
& iext(uri_owl_onProperty,X0,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,X0)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class) )
=> ( iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
& iext(uri_owl_inverseOf,sK19,uri_rdf_type)
& iext(uri_rdf_rest,sK22,uri_rdf_nil)
& iext(uri_rdf_first,sK22,sK19)
& iext(uri_rdf_rest,sK21,sK22)
& iext(uri_rdf_first,sK21,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,sK20,sK21)
& iext(uri_rdf_first,sK20,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK20)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,sK18,uri_ex_Clique)
& iext(uri_owl_onProperty,sK18,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,sK18,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,sK18)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3,X4] :
( iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
& iext(uri_owl_inverseOf,X1,uri_rdf_type)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X4,X1)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X3,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X2)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,X0,uri_ex_Clique)
& iext(uri_owl_onProperty,X0,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,X0)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
? [X17,X18,X19,X20,X21] :
( iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
& iext(uri_owl_inverseOf,X18,uri_rdf_type)
& iext(uri_rdf_rest,X21,uri_rdf_nil)
& iext(uri_rdf_first,X21,X18)
& iext(uri_rdf_rest,X20,X21)
& iext(uri_rdf_first,X20,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,X19,X20)
& iext(uri_rdf_first,X19,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X19)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,X17,uri_ex_Clique)
& iext(uri_owl_onProperty,X17,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,X17,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,X17)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).
fof(f132,plain,
iext(uri_rdf_rest,sK20,sK21),
inference(cnf_transformation,[],[f74]) ).
fof(f3603,plain,
~ sP26(uri_ex_sameCliqueAs,sK19,sK20),
inference(unit_resulting_resolution,[],[f131,f3600,f149]) ).
fof(f149,plain,
! [X2,X0,X1,X6,X4] :
( ~ sP26(X4,X6,X1)
| ~ iext(uri_rdf_first,X1,X2)
| sP7(X0,X6,X4,X2,X1) ),
inference(general_splitting,[],[f147,f148_D]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X6,X4] :
( sP7(X0,X6,X4,X2,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ~ sP25(X3,X6) ),
inference(general_splitting,[],[f121,f146_D]) ).
fof(f146,plain,
! [X3,X6,X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| sP25(X3,X6) ),
inference(cnf_transformation,[],[f146_D]) ).
fof(f146_D,plain,
! [X6,X3] :
( ! [X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5) )
<=> ~ sP25(X3,X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP7(X0,X6,X4,X2,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,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP7(X0,X6,X4,X2,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,[],[f24,f36,f35,f34]) ).
fof(f34,plain,
! [X0,X6,X4,X2] :
( sP5(X0,X6,X4,X2)
<=> ! [X7,X8,X9,X10] :
( iext(X0,X7,X10)
| ~ iext(X6,X9,X10)
| ~ iext(X4,X8,X9)
| ~ iext(X2,X7,X8) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f35,plain,
! [X2,X4,X6,X0] :
( sP6(X2,X4,X6,X0)
<=> ( sP5(X0,X6,X4,X2)
& ip(X6)
& ip(X4)
& ip(X2)
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f36,plain,
! [X0,X6,X4,X2,X1] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> sP6(X2,X4,X6,X0) )
| ~ sP7(X0,X6,X4,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X7,X8,X9,X10] :
( iext(X0,X7,X10)
| ~ iext(X6,X9,X10)
| ~ iext(X4,X8,X9)
| ~ iext(X2,X7,X8) )
& ip(X6)
& ip(X4)
& ip(X2)
& ip(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,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X7,X8,X9,X10] :
( iext(X0,X7,X10)
| ~ iext(X6,X9,X10)
| ~ iext(X4,X8,X9)
| ~ iext(X2,X7,X8) )
& ip(X6)
& ip(X4)
& ip(X2)
& ip(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,[],[f17]) ).
fof(f17,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_propertyChainAxiom,X0,X1)
<=> ( ! [X7,X8,X9,X10] :
( ( iext(X6,X9,X10)
& iext(X4,X8,X9)
& iext(X2,X7,X8) )
=> iext(X0,X7,X10) )
& ip(X6)
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3,X9,X7,X10,X8,X11,X12] :
( ( iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_rdf_first,X11,X12)
& iext(uri_rdf_rest,X10,X11)
& iext(uri_rdf_first,X10,X8)
& iext(uri_rdf_rest,X9,X10)
& iext(uri_rdf_first,X9,X7) )
=> ( iext(uri_owl_propertyChainAxiom,X3,X9)
<=> ( ! [X13,X14,X15,X16] :
( ( iext(X12,X15,X16)
& iext(X8,X14,X15)
& iext(X7,X13,X14) )
=> iext(X3,X13,X16) )
& ip(X12)
& ip(X8)
& ip(X7)
& ip(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_003) ).
fof(f3600,plain,
~ sP7(uri_foaf_knows,sK19,uri_ex_sameCliqueAs,uri_rdf_type,sK20),
inference(unit_resulting_resolution,[],[f130,f3599,f108]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP7(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X0,X4)
| sP6(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X4)
| ~ sP6(X3,X2,X1,X0) )
& ( sP6(X3,X2,X1,X0)
| ~ iext(uri_owl_propertyChainAxiom,X0,X4) ) )
| ~ sP7(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0,X6,X4,X2,X1] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ sP6(X2,X4,X6,X0) )
& ( sP6(X2,X4,X6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ sP7(X0,X6,X4,X2,X1) ),
inference(nnf_transformation,[],[f36]) ).
fof(f3599,plain,
~ sP6(uri_rdf_type,uri_ex_sameCliqueAs,sK19,uri_foaf_knows),
inference(unit_resulting_resolution,[],[f3587,f114]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| sP5(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ( sP6(X0,X1,X2,X3)
| ~ sP5(X3,X2,X1,X0)
| ~ ip(X2)
| ~ ip(X1)
| ~ ip(X0)
| ~ ip(X3) )
& ( ( sP5(X3,X2,X1,X0)
& ip(X2)
& ip(X1)
& ip(X0)
& ip(X3) )
| ~ sP6(X0,X1,X2,X3) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X2,X4,X6,X0] :
( ( sP6(X2,X4,X6,X0)
| ~ sP5(X0,X6,X4,X2)
| ~ ip(X6)
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( sP5(X0,X6,X4,X2)
& ip(X6)
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ sP6(X2,X4,X6,X0) ) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X2,X4,X6,X0] :
( ( sP6(X2,X4,X6,X0)
| ~ sP5(X0,X6,X4,X2)
| ~ ip(X6)
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( sP5(X0,X6,X4,X2)
& ip(X6)
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ sP6(X2,X4,X6,X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f3587,plain,
~ sP5(uri_foaf_knows,sK19,uri_ex_sameCliqueAs,uri_rdf_type),
inference(unit_resulting_resolution,[],[f3166,f2623,f145]) ).
fof(f145,plain,
! [X2,X3,X0,X11,X1,X9] :
( ~ sP24(X11,X9,X0,X3)
| ~ sP23(X2,X11,X9,X1)
| ~ sP5(X0,X1,X2,X3) ),
inference(general_splitting,[],[f143,f144_D]) ).
fof(f144,plain,
! [X3,X0,X11,X8,X9] :
( ~ iext(X3,X8,X9)
| iext(X0,X8,X11)
| sP24(X11,X9,X0,X3) ),
inference(cnf_transformation,[],[f144_D]) ).
fof(f144_D,plain,
! [X3,X0,X9,X11] :
( ! [X8] :
( ~ iext(X3,X8,X9)
| iext(X0,X8,X11) )
<=> ~ sP24(X11,X9,X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).
fof(f143,plain,
! [X2,X3,X0,X11,X1,X8,X9] :
( iext(X0,X8,X11)
| ~ iext(X3,X8,X9)
| ~ sP5(X0,X1,X2,X3)
| ~ sP23(X2,X11,X9,X1) ),
inference(general_splitting,[],[f116,f142_D]) ).
fof(f142,plain,
! [X2,X10,X11,X1,X9] :
( ~ iext(X1,X10,X11)
| ~ iext(X2,X9,X10)
| sP23(X2,X11,X9,X1) ),
inference(cnf_transformation,[],[f142_D]) ).
fof(f142_D,plain,
! [X1,X9,X11,X2] :
( ! [X10] :
( ~ iext(X1,X10,X11)
| ~ iext(X2,X9,X10) )
<=> ~ sP23(X2,X11,X9,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f116,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9] :
( iext(X0,X8,X11)
| ~ iext(X1,X10,X11)
| ~ iext(X2,X9,X10)
| ~ iext(X3,X8,X9)
| ~ sP5(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ( sP5(X0,X1,X2,X3)
| ( ~ iext(X0,sK14(X0,X1,X2,X3),sK17(X0,X1,X2,X3))
& iext(X1,sK16(X0,X1,X2,X3),sK17(X0,X1,X2,X3))
& iext(X2,sK15(X0,X1,X2,X3),sK16(X0,X1,X2,X3))
& iext(X3,sK14(X0,X1,X2,X3),sK15(X0,X1,X2,X3)) ) )
& ( ! [X8,X9,X10,X11] :
( iext(X0,X8,X11)
| ~ iext(X1,X10,X11)
| ~ iext(X2,X9,X10)
| ~ iext(X3,X8,X9) )
| ~ sP5(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f70,f71]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( ~ iext(X0,X4,X7)
& iext(X1,X6,X7)
& iext(X2,X5,X6)
& iext(X3,X4,X5) )
=> ( ~ iext(X0,sK14(X0,X1,X2,X3),sK17(X0,X1,X2,X3))
& iext(X1,sK16(X0,X1,X2,X3),sK17(X0,X1,X2,X3))
& iext(X2,sK15(X0,X1,X2,X3),sK16(X0,X1,X2,X3))
& iext(X3,sK14(X0,X1,X2,X3),sK15(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ( sP5(X0,X1,X2,X3)
| ? [X4,X5,X6,X7] :
( ~ iext(X0,X4,X7)
& iext(X1,X6,X7)
& iext(X2,X5,X6)
& iext(X3,X4,X5) ) )
& ( ! [X8,X9,X10,X11] :
( iext(X0,X8,X11)
| ~ iext(X1,X10,X11)
| ~ iext(X2,X9,X10)
| ~ iext(X3,X8,X9) )
| ~ sP5(X0,X1,X2,X3) ) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0,X6,X4,X2] :
( ( sP5(X0,X6,X4,X2)
| ? [X7,X8,X9,X10] :
( ~ iext(X0,X7,X10)
& iext(X6,X9,X10)
& iext(X4,X8,X9)
& iext(X2,X7,X8) ) )
& ( ! [X7,X8,X9,X10] :
( iext(X0,X7,X10)
| ~ iext(X6,X9,X10)
| ~ iext(X4,X8,X9)
| ~ iext(X2,X7,X8) )
| ~ sP5(X0,X6,X4,X2) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f2623,plain,
sP24(uri_ex_bob,uri_ex_JoesGang,uri_foaf_knows,uri_rdf_type),
inference(unit_resulting_resolution,[],[f75,f139,f144]) ).
fof(f139,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[],[f74]) ).
fof(f75,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(flattening,[],[f9]) ).
fof(f9,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques) ).
fof(f3166,plain,
sP23(uri_ex_sameCliqueAs,uri_ex_bob,uri_ex_JoesGang,sK19),
inference(unit_resulting_resolution,[],[f250,f3130,f142]) ).
fof(f3130,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang),
inference(superposition,[],[f1380,f3099]) ).
fof(f3099,plain,
uri_ex_JoesGang = sK13(uri_ex_Clique,uri_ex_JoesGang,uri_ex_sameCliqueAs),
inference(unit_resulting_resolution,[],[f2787,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X4] :
( iext(uri_owl_sameAs,X0,X4)
<=> X0 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f2787,plain,
iext(uri_owl_sameAs,uri_ex_JoesGang,sK13(uri_ex_Clique,uri_ex_JoesGang,uri_ex_sameCliqueAs)),
inference(unit_resulting_resolution,[],[f164,f1380,f87]) ).
fof(f87,plain,
! [X0,X1,X4,X5] :
( ~ iext(X1,X4,X5)
| iext(X0,X4,X5)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ iext(X0,sK9(X0,X1),sK10(X0,X1))
& iext(X1,sK9(X0,X1),sK10(X0,X1)) )
| ~ ip(X0)
| ~ ip(X1) )
& ( ( ! [X4,X5] :
( iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ip(X0)
& ip(X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f47,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ iext(X0,X2,X3)
& iext(X1,X2,X3) )
=> ( ~ iext(X0,sK9(X0,X1),sK10(X0,X1))
& iext(X1,sK9(X0,X1),sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2,X3] :
( ~ iext(X0,X2,X3)
& iext(X1,X2,X3) )
| ~ ip(X0)
| ~ ip(X1) )
& ( ( ! [X4,X5] :
( iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ip(X0)
& ip(X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f164,plain,
sP1(uri_owl_sameAs,uri_ex_sameCliqueAs),
inference(unit_resulting_resolution,[],[f123,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> sP1(X1,X0) ),
inference(definition_folding,[],[f20,f27]) ).
fof(f20,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X7,X8] :
( iext(uri_rdfs_subPropertyOf,X7,X8)
<=> ( ! [X0,X4] :
( iext(X7,X0,X4)
=> iext(X8,X0,X4) )
& ip(X8)
& ip(X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(f123,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[],[f74]) ).
fof(f1380,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,sK13(uri_ex_Clique,uri_ex_JoesGang,uri_ex_sameCliqueAs)),
inference(unit_resulting_resolution,[],[f1378,f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| iext(X2,X1,sK13(X0,X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ! [X3] :
( ~ icext(X0,X3)
| ~ iext(X2,X1,X3) ) )
& ( ( icext(X0,sK13(X0,X1,X2))
& iext(X2,X1,sK13(X0,X1,X2)) )
| ~ sP3(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f61,f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ? [X4] :
( icext(X0,X4)
& iext(X2,X1,X4) )
=> ( icext(X0,sK13(X0,X1,X2))
& iext(X2,X1,sK13(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ! [X3] :
( ~ icext(X0,X3)
| ~ iext(X2,X1,X3) ) )
& ( ? [X4] :
( icext(X0,X4)
& iext(X2,X1,X4) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X2,X3,X1] :
( ( sP3(X2,X3,X1)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
& ( ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) )
| ~ sP3(X2,X3,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X2,X3,X1] :
( sP3(X2,X3,X1)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1378,plain,
sP3(uri_ex_Clique,uri_ex_JoesGang,uri_ex_sameCliqueAs),
inference(forward_demodulation,[],[f1373,f787]) ).
fof(f787,plain,
uri_ex_JoesGang = sK13(uri_ex_Clique,uri_ex_JoesGang,uri_owl_sameAs),
inference(unit_resulting_resolution,[],[f407,f76]) ).
fof(f407,plain,
iext(uri_owl_sameAs,uri_ex_JoesGang,sK13(uri_ex_Clique,uri_ex_JoesGang,uri_owl_sameAs)),
inference(unit_resulting_resolution,[],[f342,f104]) ).
fof(f342,plain,
sP3(uri_ex_Clique,uri_ex_JoesGang,uri_owl_sameAs),
inference(unit_resulting_resolution,[],[f178,f141,f106]) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( ~ iext(X2,X1,X3)
| ~ icext(X0,X3)
| sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f141,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f178,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(unit_resulting_resolution,[],[f138,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,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/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f138,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[],[f74]) ).
fof(f1373,plain,
sP3(uri_ex_Clique,sK13(uri_ex_Clique,uri_ex_JoesGang,uri_owl_sameAs),uri_ex_sameCliqueAs),
inference(unit_resulting_resolution,[],[f506,f1362,f102]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,X1,X2)
| ~ icext(X2,X3)
| sP3(X1,X3,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X2,X3)
| ~ sP3(X1,X3,X0) )
& ( sP3(X1,X3,X0)
| ~ icext(X2,X3) ) )
| ~ sP4(X0,X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X2,X0] :
( ! [X3] :
( ( icext(X0,X3)
| ~ sP3(X2,X3,X1) )
& ( sP3(X2,X3,X1)
| ~ icext(X0,X3) ) )
| ~ sP4(X1,X2,X0) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( ! [X3] :
( icext(X0,X3)
<=> sP3(X2,X3,X1) )
| ~ sP4(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1362,plain,
sP4(uri_ex_sameCliqueAs,uri_ex_Clique,sK18),
inference(unit_resulting_resolution,[],[f128,f127,f107]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| sP4(X1,X2,X0)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sP4(X1,X2,X0)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(definition_folding,[],[f22,f32,f31]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_someValuesFrom,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3,X1] :
( ( iext(uri_owl_onProperty,X2,X3)
& iext(uri_owl_someValuesFrom,X2,X1) )
=> ! [X0] :
( icext(X2,X0)
<=> ? [X4] :
( icext(X1,X4)
& iext(X3,X0,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f127,plain,
iext(uri_owl_onProperty,sK18,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f74]) ).
fof(f128,plain,
iext(uri_owl_someValuesFrom,sK18,uri_ex_Clique),
inference(cnf_transformation,[],[f74]) ).
fof(f506,plain,
icext(sK18,sK13(uri_ex_Clique,uri_ex_JoesGang,uri_owl_sameAs)),
inference(unit_resulting_resolution,[],[f156,f408,f80]) ).
fof(f80,plain,
! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ icext(X1,X3)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ icext(X0,sK8(X0,X1))
& icext(X1,sK8(X0,X1)) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X0)
& ic(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f41,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) )
=> ( ~ icext(X0,sK8(X0,X1))
& icext(X1,sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X0)
& ic(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f408,plain,
icext(uri_ex_Clique,sK13(uri_ex_Clique,uri_ex_JoesGang,uri_owl_sameAs)),
inference(unit_resulting_resolution,[],[f342,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| icext(X0,sK13(X0,X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f156,plain,
sP0(sK18,uri_ex_Clique),
inference(unit_resulting_resolution,[],[f125,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> sP0(X1,X0) ),
inference(definition_folding,[],[f19,f25]) ).
fof(f19,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
( iext(uri_rdfs_subClassOf,X5,X6)
<=> ( ! [X0] :
( icext(X5,X0)
=> icext(X6,X0) )
& ic(X6)
& ic(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f125,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK18),
inference(cnf_transformation,[],[f74]) ).
fof(f250,plain,
iext(sK19,uri_ex_JoesGang,uri_ex_bob),
inference(unit_resulting_resolution,[],[f172,f140,f93]) ).
fof(f93,plain,
! [X0,X1,X4,X5] :
( ~ iext(X0,X5,X4)
| iext(X1,X4,X5)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ iext(X0,sK12(X0,X1),sK11(X0,X1))
| ~ iext(X1,sK11(X0,X1),sK12(X0,X1)) )
& ( iext(X0,sK12(X0,X1),sK11(X0,X1))
| iext(X1,sK11(X0,X1),sK12(X0,X1)) ) ) )
& ( ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) )
=> ( ( ~ iext(X0,sK12(X0,X1),sK11(X0,X1))
| ~ iext(X1,sK11(X0,X1),sK12(X0,X1)) )
& ( iext(X0,sK12(X0,X1),sK11(X0,X1))
| iext(X1,sK11(X0,X1),sK12(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) ) )
& ( ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f140,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[],[f74]) ).
fof(f172,plain,
sP2(uri_rdf_type,sK19),
inference(unit_resulting_resolution,[],[f137,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ sP2(X1,X0)
| ~ ip(X1)
| ~ ip(X0) )
& ( ( sP2(X1,X0)
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ sP2(X1,X0)
| ~ ip(X1)
| ~ ip(X0) )
& ( ( sP2(X1,X0)
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( sP2(X1,X0)
& ip(X1)
& ip(X0) ) ),
inference(definition_folding,[],[f15,f29]) ).
fof(f15,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X7,X8] :
( iext(uri_owl_inverseOf,X7,X8)
<=> ( ! [X0,X4] :
( iext(X7,X0,X4)
<=> iext(X8,X4,X0) )
& ip(X8)
& ip(X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
fof(f137,plain,
iext(uri_owl_inverseOf,sK19,uri_rdf_type),
inference(cnf_transformation,[],[f74]) ).
fof(f130,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK20),
inference(cnf_transformation,[],[f74]) ).
fof(f131,plain,
iext(uri_rdf_first,sK20,uri_rdf_type),
inference(cnf_transformation,[],[f74]) ).
fof(f3619,plain,
sP25(sK21,sK19),
inference(unit_resulting_resolution,[],[f134,f135,f136,f146]) ).
fof(f136,plain,
iext(uri_rdf_rest,sK22,uri_rdf_nil),
inference(cnf_transformation,[],[f74]) ).
fof(f135,plain,
iext(uri_rdf_first,sK22,sK19),
inference(cnf_transformation,[],[f74]) ).
fof(f134,plain,
iext(uri_rdf_rest,sK21,sK22),
inference(cnf_transformation,[],[f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n019.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 Apr 30 02:22:29 EDT 2024
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % (18259)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36 % (18266)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.19/0.36 % (18261)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.36 % (18265)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.19/0.36 % (18262)WARNING: value z3 for option sas not known
% 0.19/0.36 % (18263)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.37 % (18262)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.37 % (18264)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.19/0.37 % (18260)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37 TRYING [1]
% 0.19/0.37 TRYING [2]
% 0.19/0.38 TRYING [3]
% 0.19/0.40 TRYING [1]
% 0.19/0.40 TRYING [2]
% 0.19/0.43 % (18266)First to succeed.
% 0.19/0.44 % (18266)Refutation found. Thanks to Tanya!
% 0.19/0.44 % SZS status Theorem for theBenchmark
% 0.19/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.44 % (18266)------------------------------
% 0.19/0.44 % (18266)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.44 % (18266)Termination reason: Refutation
% 0.19/0.44
% 0.19/0.44 % (18266)Memory used [KB]: 2119
% 0.19/0.44 % (18266)Time elapsed: 0.072 s
% 0.19/0.44 % (18266)Instructions burned: 170 (million)
% 0.19/0.44 % (18266)------------------------------
% 0.19/0.44 % (18266)------------------------------
% 0.19/0.44 % (18259)Success in time 0.084 s
%------------------------------------------------------------------------------