TSTP Solution File: SWB013+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:09:08 EDT 2023
% Result : Theorem 114.65s 15.82s
% Output : CNFRefutation 114.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 148 ( 43 unt; 0 def)
% Number of atoms : 762 ( 11 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 943 ( 329 ~; 321 |; 254 &)
% ( 23 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-5 aty)
% Number of functors : 36 ( 36 usr; 26 con; 0-4 aty)
% Number of variables : 471 ( 7 sgn; 276 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(f5,axiom,
! [X0,X4] :
( iext(uri_owl_sameAs,X0,X4)
<=> X0 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
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(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(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(f9,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(negated_conjecture,[],[f8]) ).
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(f11,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(f12,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f3]) ).
fof(f13,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(f14,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
inference(rectify,[],[f5]) ).
fof(f15,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(f16,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(f17,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(flattening,[],[f9]) ).
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(f19,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,[],[f11]) ).
fof(f20,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,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f22,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,[],[f13]) ).
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,[],[f15]) ).
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(f25,plain,
! [X0,X6,X4,X2] :
( sP0(X0,X6,X4,X2)
<=> ( ! [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) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f26,plain,
! [X2,X4,X6,X0,X1] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> sP0(X0,X6,X4,X2) )
| ~ sP1(X2,X4,X6,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP1(X2,X4,X6,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,[],[f24,f26,f25]) ).
fof(f28,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(f29,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
& ( ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(nnf_transformation,[],[f20]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
& ( ? [X5] :
( icext(X2,X5)
& iext(X1,X3,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X1,X2,X3] :
( ? [X5] :
( icext(X2,X5)
& iext(X1,X3,X5) )
=> ( icext(X2,sK2(X1,X2,X3))
& iext(X1,X3,sK2(X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
& ( ( icext(X2,sK2(X1,X2,X3))
& iext(X1,X3,sK2(X1,X2,X3)) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f30,f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f34,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
=> ( ~ icext(X1,sK3(X0,X1))
& icext(X0,sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ( ~ icext(X1,sK3(X0,X1))
& icext(X0,sK3(X0,X1)) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f35,f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [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) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f39,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [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) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
=> ( ~ iext(X1,sK4(X0,X1),sK5(X0,X1))
& iext(X0,sK4(X0,X1),sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ~ iext(X1,sK4(X0,X1),sK5(X0,X1))
& iext(X0,sK4(X0,X1),sK5(X0,X1)) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f40,f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f44,plain,
! [X2,X4,X6,X0,X1] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ sP0(X0,X6,X4,X2) )
& ( sP0(X0,X6,X4,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ sP1(X2,X4,X6,X0,X1) ),
inference(nnf_transformation,[],[f26]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X3,X4)
| ~ sP0(X3,X2,X1,X0) )
& ( sP0(X3,X2,X1,X0)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4) ) )
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X6,X4,X2] :
( ( sP0(X0,X6,X4,X2)
| ? [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) )
& ( ( ! [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) )
| ~ sP0(X0,X6,X4,X2) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f47,plain,
! [X0,X6,X4,X2] :
( ( sP0(X0,X6,X4,X2)
| ? [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) )
& ( ( ! [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) )
| ~ sP0(X0,X6,X4,X2) ) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ? [X4,X5,X6,X7] :
( ~ iext(X0,X4,X7)
& iext(X1,X6,X7)
& iext(X2,X5,X6)
& iext(X3,X4,X5) )
| ~ ip(X1)
| ~ ip(X2)
| ~ ip(X3)
| ~ ip(X0) )
& ( ( ! [X8,X9,X10,X11] :
( iext(X0,X8,X11)
| ~ iext(X1,X10,X11)
| ~ iext(X2,X9,X10)
| ~ iext(X3,X8,X9) )
& ip(X1)
& ip(X2)
& ip(X3)
& ip(X0) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f47]) ).
fof(f49,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,sK6(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
& iext(X1,sK8(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
& iext(X2,sK7(X0,X1,X2,X3),sK8(X0,X1,X2,X3))
& iext(X3,sK6(X0,X1,X2,X3),sK7(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ( ~ iext(X0,sK6(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
& iext(X1,sK8(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
& iext(X2,sK7(X0,X1,X2,X3),sK8(X0,X1,X2,X3))
& iext(X3,sK6(X0,X1,X2,X3),sK7(X0,X1,X2,X3)) )
| ~ ip(X1)
| ~ ip(X2)
| ~ ip(X3)
| ~ ip(X0) )
& ( ( ! [X8,X9,X10,X11] :
( iext(X0,X8,X11)
| ~ iext(X1,X10,X11)
| ~ iext(X2,X9,X10)
| ~ iext(X3,X8,X9) )
& ip(X1)
& ip(X2)
& ip(X3)
& ip(X0) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f48,f49]) ).
fof(f51,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f52,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
=> ( ( ~ iext(X1,sK11(X0,X1),sK10(X0,X1))
| ~ iext(X0,sK10(X0,X1),sK11(X0,X1)) )
& ( iext(X1,sK11(X0,X1),sK10(X0,X1))
| iext(X0,sK10(X0,X1),sK11(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ( ( ~ iext(X1,sK11(X0,X1),sK10(X0,X1))
| ~ iext(X0,sK10(X0,X1),sK11(X0,X1)) )
& ( iext(X1,sK11(X0,X1),sK10(X0,X1))
| iext(X0,sK10(X0,X1),sK11(X0,X1)) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f53,f54]) ).
fof(f56,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,sK13,uri_rdf_type)
& iext(uri_rdf_rest,sK16,uri_rdf_nil)
& iext(uri_rdf_first,sK16,sK13)
& iext(uri_rdf_rest,sK15,sK16)
& iext(uri_rdf_first,sK15,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,sK14,sK15)
& iext(uri_rdf_first,sK14,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK14)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,sK12,uri_ex_Clique)
& iext(uri_owl_onProperty,sK12,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,sK12,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,sK12)
& 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(f57,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,sK13,uri_rdf_type)
& iext(uri_rdf_rest,sK16,uri_rdf_nil)
& iext(uri_rdf_first,sK16,sK13)
& iext(uri_rdf_rest,sK15,sK16)
& iext(uri_rdf_first,sK15,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,sK14,sK15)
& iext(uri_rdf_first,sK14,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK14)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,sK12,uri_ex_Clique)
& iext(uri_owl_onProperty,sK12,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,sK12,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,sK12)
& 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,[sK12,sK13,sK14,sK15,sK16])],[f18,f56]) ).
fof(f58,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( iext(X1,X3,sK2(X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f65,plain,
! [X3,X0,X1] :
( icext(X1,X3)
| ~ icext(X0,X3)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f70,plain,
! [X0,X1,X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
! [X0,X1] :
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4] :
( sP0(X3,X2,X1,X0)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4)
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f45]) ).
fof(f81,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)
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP1(X2,X4,X6,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,[],[f27]) ).
fof(f89,plain,
! [X0,X1,X4,X5] :
( iext(X1,X5,X4)
| ~ iext(X0,X4,X5)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f90,plain,
! [X0,X1,X4,X5] :
( iext(X0,X4,X5)
| ~ iext(X1,X5,X4)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f93,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f17]) ).
fof(f95,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[],[f57]) ).
fof(f97,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK12),
inference(cnf_transformation,[],[f57]) ).
fof(f99,plain,
iext(uri_owl_onProperty,sK12,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f57]) ).
fof(f100,plain,
iext(uri_owl_someValuesFrom,sK12,uri_ex_Clique),
inference(cnf_transformation,[],[f57]) ).
fof(f102,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK14),
inference(cnf_transformation,[],[f57]) ).
fof(f103,plain,
iext(uri_rdf_first,sK14,uri_rdf_type),
inference(cnf_transformation,[],[f57]) ).
fof(f104,plain,
iext(uri_rdf_rest,sK14,sK15),
inference(cnf_transformation,[],[f57]) ).
fof(f105,plain,
iext(uri_rdf_first,sK15,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f57]) ).
fof(f106,plain,
iext(uri_rdf_rest,sK15,sK16),
inference(cnf_transformation,[],[f57]) ).
fof(f107,plain,
iext(uri_rdf_first,sK16,sK13),
inference(cnf_transformation,[],[f57]) ).
fof(f108,plain,
iext(uri_rdf_rest,sK16,uri_rdf_nil),
inference(cnf_transformation,[],[f57]) ).
fof(f109,plain,
iext(uri_owl_inverseOf,sK13,uri_rdf_type),
inference(cnf_transformation,[],[f57]) ).
fof(f110,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[],[f57]) ).
fof(f111,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[],[f57]) ).
fof(f112,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[],[f57]) ).
cnf(c_50,plain,
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_53,plain,
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ icext(X0,X3)
| iext(X1,X3,sK2(X1,X2,X3)) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_56,plain,
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X0,X2)
| icext(X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_61,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_rdfs_subPropertyOf,X0,X3)
| iext(X3,X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_65,plain,
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_67,plain,
( ~ sP1(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4)
| sP0(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_72,plain,
( ~ sP0(X0,X1,X2,X3)
| ~ iext(X1,X4,X5)
| ~ iext(X2,X7,X4)
| ~ iext(X3,X6,X7)
| iext(X0,X6,X5) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_77,plain,
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X0,X3)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_first,X2,X5)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| sP1(X3,X4,X5,X6,X0) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_80,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_owl_inverseOf,X3,X0)
| iext(X3,X2,X1) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_81,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_owl_inverseOf,X0,X3)
| iext(X3,X2,X1) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_84,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f93]) ).
cnf(c_85,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[],[f112]) ).
cnf(c_86,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[],[f111]) ).
cnf(c_87,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[],[f110]) ).
cnf(c_88,plain,
iext(uri_owl_inverseOf,sK13,uri_rdf_type),
inference(cnf_transformation,[],[f109]) ).
cnf(c_89,plain,
iext(uri_rdf_rest,sK16,uri_rdf_nil),
inference(cnf_transformation,[],[f108]) ).
cnf(c_90,plain,
iext(uri_rdf_first,sK16,sK13),
inference(cnf_transformation,[],[f107]) ).
cnf(c_91,plain,
iext(uri_rdf_rest,sK15,sK16),
inference(cnf_transformation,[],[f106]) ).
cnf(c_92,plain,
iext(uri_rdf_first,sK15,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f105]) ).
cnf(c_93,plain,
iext(uri_rdf_rest,sK14,sK15),
inference(cnf_transformation,[],[f104]) ).
cnf(c_94,plain,
iext(uri_rdf_first,sK14,uri_rdf_type),
inference(cnf_transformation,[],[f103]) ).
cnf(c_95,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK14),
inference(cnf_transformation,[],[f102]) ).
cnf(c_97,plain,
iext(uri_owl_someValuesFrom,sK12,uri_ex_Clique),
inference(cnf_transformation,[],[f100]) ).
cnf(c_98,plain,
iext(uri_owl_onProperty,sK12,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f99]) ).
cnf(c_100,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK12),
inference(cnf_transformation,[],[f97]) ).
cnf(c_102,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[],[f95]) ).
cnf(c_1579,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,sK16,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| ~ iext(uri_rdf_rest,sK16,uri_rdf_nil)
| sP1(X1,X3,X2,X4,X0) ),
inference(superposition,[status(thm)],[c_91,c_77]) ).
cnf(c_1583,plain,
( ~ iext(uri_rdf_first,sK15,X3)
| ~ iext(uri_rdf_first,sK16,X2)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1)
| sP1(X1,X3,X2,X4,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1579,c_89,c_1579]) ).
cnf(c_1584,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,sK16,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| sP1(X1,X3,X2,X4,X0) ),
inference(renaming,[status(thm)],[c_1583]) ).
cnf(c_1586,plain,
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,sK15)
| ~ iext(uri_rdf_first,sK16,X3)
| ~ iext(uri_rdf_first,sK15,X4)
| sP0(X0,X3,X4,X2) ),
inference(superposition,[status(thm)],[c_1584,c_67]) ).
cnf(c_1593,plain,
( ~ iext(uri_rdf_first,sK16,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(uri_rdf_first,sK14,X2)
| ~ iext(uri_rdf_rest,sK14,sK15)
| sP0(uri_foaf_knows,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_95,c_1586]) ).
cnf(c_2971,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(superposition,[status(thm)],[c_87,c_50]) ).
cnf(c_2975,plain,
( ~ icext(uri_ex_Clique,X0)
| icext(sK12,X0) ),
inference(superposition,[status(thm)],[c_100,c_56]) ).
cnf(c_3024,plain,
( ~ iext(uri_owl_inverseOf,X0,uri_rdf_type)
| iext(X0,uri_ex_JoesGang,uri_ex_bob) ),
inference(superposition,[status(thm)],[c_85,c_80]) ).
cnf(c_3114,plain,
icext(sK12,uri_ex_JoesGang),
inference(superposition,[status(thm)],[c_2971,c_2975]) ).
cnf(c_3154,plain,
iext(sK13,uri_ex_JoesGang,uri_ex_bob),
inference(superposition,[status(thm)],[c_88,c_3024]) ).
cnf(c_3162,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,sK16,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| ~ iext(uri_rdf_rest,sK16,uri_rdf_nil)
| sP1(X1,X3,X2,X4,X0) ),
inference(superposition,[status(thm)],[c_91,c_77]) ).
cnf(c_3345,plain,
( ~ iext(uri_rdf_first,sK15,X3)
| ~ iext(uri_rdf_first,sK16,X2)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1)
| sP1(X1,X3,X2,X4,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3162,c_89,c_1579]) ).
cnf(c_3346,plain,
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,sK16,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| sP1(X1,X3,X2,X4,X0) ),
inference(renaming,[status(thm)],[c_3345]) ).
cnf(c_3347,plain,
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,sK15)
| ~ iext(uri_rdf_first,sK16,X3)
| ~ iext(uri_rdf_first,sK15,X4)
| sP0(X0,X3,X4,X2) ),
inference(superposition,[status(thm)],[c_3346,c_67]) ).
cnf(c_3354,plain,
( ~ iext(uri_rdf_first,sK16,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(uri_rdf_first,sK14,X2)
| ~ iext(uri_rdf_rest,sK14,sK15)
| sP0(uri_foaf_knows,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_95,c_3347]) ).
cnf(c_3360,plain,
( ~ iext(uri_rdf_first,sK14,X2)
| ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(uri_rdf_first,sK16,X0)
| sP0(uri_foaf_knows,X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_3354,c_93,c_1593]) ).
cnf(c_3361,plain,
( ~ iext(uri_rdf_first,sK16,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(uri_rdf_first,sK14,X2)
| sP0(uri_foaf_knows,X0,X1,X2) ),
inference(renaming,[status(thm)],[c_3360]) ).
cnf(c_3362,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X4,X1)
| ~ iext(X5,X6,X4)
| ~ iext(uri_rdf_first,sK16,X0)
| ~ iext(uri_rdf_first,sK15,X3)
| ~ iext(uri_rdf_first,sK14,X5)
| iext(uri_foaf_knows,X6,X2) ),
inference(superposition,[status(thm)],[c_3361,c_72]) ).
cnf(c_3431,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,uri_ex_JoesGang)
| ~ iext(uri_rdf_first,sK15,X3)
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK16,sK13)
| iext(uri_foaf_knows,X1,uri_ex_bob) ),
inference(superposition,[status(thm)],[c_3154,c_3362]) ).
cnf(c_9563,plain,
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,X3)
| ~ iext(X3,X2,uri_ex_JoesGang)
| ~ iext(X0,X1,X2)
| iext(uri_foaf_knows,X1,uri_ex_bob) ),
inference(global_subsumption_just,[status(thm)],[c_3431,c_90,c_3431]) ).
cnf(c_9564,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,uri_ex_JoesGang)
| ~ iext(uri_rdf_first,sK15,X3)
| ~ iext(uri_rdf_first,sK14,X0)
| iext(uri_foaf_knows,X1,uri_ex_bob) ),
inference(renaming,[status(thm)],[c_9563]) ).
cnf(c_9568,plain,
( ~ iext(X0,uri_ex_JoesGang,uri_ex_JoesGang)
| ~ iext(uri_rdf_first,sK15,X0)
| ~ iext(uri_rdf_first,sK14,uri_rdf_type)
| iext(uri_foaf_knows,uri_ex_bob,uri_ex_bob) ),
inference(superposition,[status(thm)],[c_85,c_9564]) ).
cnf(c_9569,plain,
( ~ iext(X0,uri_ex_JoesGang,uri_ex_JoesGang)
| ~ iext(uri_rdf_first,sK15,X0)
| ~ iext(uri_rdf_first,sK14,uri_rdf_type)
| iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) ),
inference(superposition,[status(thm)],[c_86,c_9564]) ).
cnf(c_9834,plain,
( ~ iext(X0,uri_ex_JoesGang,uri_ex_JoesGang)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(global_subsumption_just,[status(thm)],[c_9568,c_94,c_84,c_9569]) ).
cnf(c_9837,plain,
~ iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang),
inference(superposition,[status(thm)],[c_92,c_9834]) ).
cnf(c_28421,plain,
( ~ iext(uri_owl_someValuesFrom,sK12,X0)
| ~ icext(sK12,X1)
| iext(uri_ex_sameCliqueAs,X1,sK2(uri_ex_sameCliqueAs,X0,X1)) ),
inference(superposition,[status(thm)],[c_98,c_53]) ).
cnf(c_28575,plain,
( ~ iext(uri_owl_someValuesFrom,sK12,X0)
| ~ iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,X1)
| ~ icext(sK12,X2)
| iext(X1,X2,sK2(uri_ex_sameCliqueAs,X0,X2)) ),
inference(superposition,[status(thm)],[c_28421,c_61]) ).
cnf(c_29805,plain,
( ~ iext(uri_owl_someValuesFrom,sK12,X0)
| ~ iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
| ~ icext(sK12,X1)
| sK2(uri_ex_sameCliqueAs,X0,X1) = X1 ),
inference(superposition,[status(thm)],[c_28575,c_65]) ).
cnf(c_35909,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(superposition,[status(thm)],[c_87,c_50]) ).
cnf(c_35914,plain,
( ~ icext(uri_ex_Clique,X0)
| icext(sK12,X0) ),
inference(superposition,[status(thm)],[c_100,c_56]) ).
cnf(c_35915,plain,
icext(sK12,uri_ex_JoesGang),
inference(superposition,[status(thm)],[c_35909,c_35914]) ).
cnf(c_36038,plain,
( ~ iext(uri_owl_someValuesFrom,sK12,X0)
| ~ icext(sK12,X1)
| iext(uri_ex_sameCliqueAs,X1,sK2(uri_ex_sameCliqueAs,X0,X1)) ),
inference(superposition,[status(thm)],[c_98,c_53]) ).
cnf(c_36172,plain,
( ~ iext(uri_owl_someValuesFrom,sK12,X0)
| ~ iext(uri_owl_inverseOf,uri_ex_sameCliqueAs,X1)
| ~ icext(sK12,X2)
| iext(X1,sK2(uri_ex_sameCliqueAs,X0,X2),X2) ),
inference(superposition,[status(thm)],[c_36038,c_81]) ).
cnf(c_36315,plain,
( ~ iext(uri_owl_someValuesFrom,sK12,X0)
| ~ iext(uri_owl_inverseOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
| ~ icext(sK12,X1)
| sK2(uri_ex_sameCliqueAs,X0,X1) = X1 ),
inference(superposition,[status(thm)],[c_36172,c_65]) ).
cnf(c_37347,plain,
( ~ iext(uri_owl_someValuesFrom,sK12,X0)
| ~ icext(sK12,X1)
| sK2(uri_ex_sameCliqueAs,X0,X1) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_36315,c_102,c_29805]) ).
cnf(c_37350,plain,
( ~ icext(sK12,X0)
| sK2(uri_ex_sameCliqueAs,uri_ex_Clique,X0) = X0 ),
inference(superposition,[status(thm)],[c_97,c_37347]) ).
cnf(c_37372,plain,
sK2(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang) = uri_ex_JoesGang,
inference(superposition,[status(thm)],[c_35915,c_37350]) ).
cnf(c_37485,plain,
( ~ iext(uri_owl_someValuesFrom,sK12,uri_ex_Clique)
| ~ icext(sK12,uri_ex_JoesGang)
| iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang) ),
inference(superposition,[status(thm)],[c_37372,c_36038]) ).
cnf(c_37491,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_37485,c_9837,c_3114,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n023.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 : Sun Aug 27 07:38:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 114.65/15.82 % SZS status Started for theBenchmark.p
% 114.65/15.82 % SZS status Theorem for theBenchmark.p
% 114.65/15.82
% 114.65/15.82 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 114.65/15.82
% 114.65/15.82 ------ iProver source info
% 114.65/15.82
% 114.65/15.82 git: date: 2023-05-31 18:12:56 +0000
% 114.65/15.82 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 114.65/15.82 git: non_committed_changes: false
% 114.65/15.82 git: last_make_outside_of_git: false
% 114.65/15.82
% 114.65/15.82 ------ Parsing...
% 114.65/15.82 ------ Clausification by vclausify_rel & Parsing by iProver...
% 114.65/15.82
% 114.65/15.82 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 114.65/15.82
% 114.65/15.82 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 114.65/15.82
% 114.65/15.82 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 114.65/15.82 ------ Proving...
% 114.65/15.82 ------ Problem Properties
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 clauses 55
% 114.65/15.82 conjectures 1
% 114.65/15.82 EPR 43
% 114.65/15.82 Horn 49
% 114.65/15.82 unary 21
% 114.65/15.82 binary 13
% 114.65/15.82 lits 140
% 114.65/15.82 lits eq 1
% 114.65/15.82 fd_pure 0
% 114.65/15.82 fd_pseudo 0
% 114.65/15.82 fd_cond 0
% 114.65/15.82 fd_pseudo_cond 1
% 114.65/15.82 AC symbols 0
% 114.65/15.82
% 114.65/15.82 ------ Input Options Time Limit: Unbounded
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------
% 114.65/15.82 Current options:
% 114.65/15.82 ------
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 ------ Proving...
% 114.65/15.82
% 114.65/15.82
% 114.65/15.82 % SZS status Theorem for theBenchmark.p
% 114.65/15.82
% 114.65/15.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 114.65/15.82
% 114.65/15.83
%------------------------------------------------------------------------------