TSTP Solution File: SWB013+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWB013+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 : n024.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 18:37:12 EDT 2022
% Result : Theorem 2.21s 0.66s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 114 ( 28 unt; 0 def)
% Number of atoms : 664 ( 9 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 795 ( 245 ~; 238 |; 273 &)
% ( 23 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 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 : 389 ( 326 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f929,plain,
$false,
inference(subsumption_resolution,[],[f928,f103]) ).
fof(f103,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( iext(uri_rdf_rest,sK16,uri_rdf_nil)
& iext(uri_rdf_first,sK13,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
& iext(uri_owl_inverseOf,sK12,uri_rdf_type)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdf_first,sK15,uri_rdf_type)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_rdf_first,sK16,sK12)
& iext(uri_owl_someValuesFrom,sK14,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK15)
& iext(uri_owl_onProperty,sK14,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,sK14,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,sK14)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdf_rest,sK15,sK13)
& iext(uri_rdf_rest,sK13,sK16)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f58,f59]) ).
fof(f59,plain,
( ? [X0,X1,X2,X3,X4] :
( iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
& iext(uri_owl_inverseOf,X0,uri_rdf_type)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdf_first,X3,uri_rdf_type)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_rdf_first,X4,X0)
& iext(uri_owl_someValuesFrom,X2,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X3)
& iext(uri_owl_onProperty,X2,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,X2,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,X2)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdf_rest,X3,X1)
& iext(uri_rdf_rest,X1,X4)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) )
=> ( iext(uri_rdf_rest,sK16,uri_rdf_nil)
& iext(uri_rdf_first,sK13,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
& iext(uri_owl_inverseOf,sK12,uri_rdf_type)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdf_first,sK15,uri_rdf_type)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_rdf_first,sK16,sK12)
& iext(uri_owl_someValuesFrom,sK14,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK15)
& iext(uri_owl_onProperty,sK14,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,sK14,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,sK14)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdf_rest,sK15,sK13)
& iext(uri_rdf_rest,sK13,sK16)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0,X1,X2,X3,X4] :
( iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
& iext(uri_owl_inverseOf,X0,uri_rdf_type)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdf_first,X3,uri_rdf_type)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_rdf_first,X4,X0)
& iext(uri_owl_someValuesFrom,X2,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X3)
& iext(uri_owl_onProperty,X2,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,X2,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,X2)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdf_rest,X3,X1)
& iext(uri_rdf_rest,X1,X4)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
? [X2,X1,X3,X4,X0] :
( iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
& iext(uri_owl_inverseOf,X2,uri_rdf_type)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdf_first,X4,uri_rdf_type)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_rdf_first,X0,X2)
& iext(uri_owl_someValuesFrom,X3,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X4)
& iext(uri_owl_onProperty,X3,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,X3,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,X3)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdf_rest,X4,X1)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
? [X21,X20,X18,X17,X19] :
( iext(uri_rdf_first,X21,X18)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_first,X19,uri_rdf_type)
& iext(uri_rdf_type,X17,uri_owl_Restriction)
& iext(uri_rdf_rest,X21,uri_rdf_nil)
& iext(uri_rdf_first,X20,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X19)
& iext(uri_rdf_rest,X20,X21)
& iext(uri_rdf_rest,X19,X20)
& iext(uri_owl_someValuesFrom,X17,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_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_owl_inverseOf,X18,uri_rdf_type)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,X17)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
& iext(uri_owl_onProperty,X17,uri_ex_sameCliqueAs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).
fof(f928,plain,
~ iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(subsumption_resolution,[],[f924,f100]) ).
fof(f100,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[],[f60]) ).
fof(f924,plain,
( ~ iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
| ~ iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) ),
inference(resolution,[],[f905,f89]) ).
fof(f89,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f12]) ).
fof(f12,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/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques) ).
fof(f905,plain,
! [X11,X12] :
( iext(uri_foaf_knows,X11,X12)
| ~ iext(uri_rdf_type,X12,uri_ex_JoesGang)
| ~ iext(uri_rdf_type,X11,uri_ex_JoesGang) ),
inference(resolution,[],[f887,f243]) ).
fof(f243,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang),
inference(subsumption_resolution,[],[f238,f141]) ).
fof(f141,plain,
icext(sK14,uri_ex_JoesGang),
inference(resolution,[],[f140,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) )
& ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( icext(X1,X0)
<=> iext(uri_rdf_type,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f140,plain,
iext(uri_rdf_type,uri_ex_JoesGang,sK14),
inference(resolution,[],[f137,f127]) ).
fof(f127,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(resolution,[],[f62,f97]) ).
fof(f97,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[],[f60]) ).
fof(f137,plain,
! [X0] :
( ~ icext(uri_ex_Clique,X0)
| iext(uri_rdf_type,X0,sK14) ),
inference(resolution,[],[f136,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f136,plain,
! [X0] :
( icext(sK14,X0)
| ~ icext(uri_ex_Clique,X0) ),
inference(resolution,[],[f84,f101]) ).
fof(f101,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK14),
inference(cnf_transformation,[],[f60]) ).
fof(f84,plain,
! [X3,X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| icext(X1,X3)
| ~ icext(X0,X3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X1)
| ~ ic(X0)
| ( ~ icext(X1,sK9(X0,X1))
& icext(X0,sK9(X0,X1)) ) )
& ( ( ic(X1)
& ic(X0)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f48,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
=> ( ~ icext(X1,sK9(X0,X1))
& icext(X0,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X1)
| ~ ic(X0)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X1)
& ic(X0)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ( iext(uri_rdfs_subClassOf,X1,X0)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X1,X0) ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ( iext(uri_rdfs_subClassOf,X1,X0)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X1,X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( iext(uri_rdfs_subClassOf,X1,X0)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
| ~ icext(X1,X2) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
=> icext(X0,X2) ) )
<=> iext(uri_rdfs_subClassOf,X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X6,X5] :
( iext(uri_rdfs_subClassOf,X5,X6)
<=> ( ! [X0] :
( icext(X5,X0)
=> icext(X6,X0) )
& ic(X5)
& ic(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f238,plain,
( iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)
| ~ icext(sK14,uri_ex_JoesGang) ),
inference(superposition,[],[f227,f234]) ).
fof(f234,plain,
uri_ex_JoesGang = sK2(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang),
inference(resolution,[],[f232,f141]) ).
fof(f232,plain,
! [X0] :
( ~ icext(sK14,X0)
| sK2(uri_ex_sameCliqueAs,uri_ex_Clique,X0) = X0 ),
inference(resolution,[],[f231,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ( iext(uri_owl_sameAs,X1,X0)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X1,X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( iext(uri_owl_sameAs,X1,X0)
<=> X0 = X1 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X4,X0] :
( X0 = X4
<=> iext(uri_owl_sameAs,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f231,plain,
! [X1] :
( iext(uri_owl_sameAs,X1,sK2(uri_ex_sameCliqueAs,uri_ex_Clique,X1))
| ~ icext(sK14,X1) ),
inference(resolution,[],[f227,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ~ iext(uri_ex_sameCliqueAs,X0,X1)
| iext(uri_owl_sameAs,X0,X1) ),
inference(resolution,[],[f92,f106]) ).
fof(f106,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[],[f60]) ).
fof(f92,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_rdfs_subPropertyOf,X1,X0)
| ~ iext(X1,X5,X4)
| iext(X0,X5,X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X1,X0)
| ( iext(X1,sK11(X0,X1),sK10(X0,X1))
& ~ iext(X0,sK11(X0,X1),sK10(X0,X1)) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( ~ iext(X1,X5,X4)
| iext(X0,X5,X4) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f53,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2,X3] :
( iext(X1,X3,X2)
& ~ iext(X0,X3,X2) )
=> ( iext(X1,sK11(X0,X1),sK10(X0,X1))
& ~ iext(X0,sK11(X0,X1),sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X1,X0)
| ? [X2,X3] :
( iext(X1,X3,X2)
& ~ iext(X0,X3,X2) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( ~ iext(X1,X5,X4)
| iext(X0,X5,X4) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X1,X0) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X1,X0)
| ? [X3,X2] :
( iext(X1,X2,X3)
& ~ iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X3,X2] :
( ~ iext(X1,X2,X3)
| iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X1,X0) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X1,X0)
| ? [X3,X2] :
( iext(X1,X2,X3)
& ~ iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X3,X2] :
( ~ iext(X1,X2,X3)
| iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X1,X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X1,X0)
<=> ( ! [X3,X2] :
( ~ iext(X1,X2,X3)
| iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( ip(X0)
& ip(X1)
& ! [X3,X2] :
( iext(X1,X2,X3)
=> iext(X0,X2,X3) ) )
<=> iext(uri_rdfs_subPropertyOf,X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X8,X7] :
( ( ! [X0,X4] :
( iext(X7,X0,X4)
=> iext(X8,X0,X4) )
& ip(X8)
& ip(X7) )
<=> iext(uri_rdfs_subPropertyOf,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(f227,plain,
! [X0] :
( iext(uri_ex_sameCliqueAs,X0,sK2(uri_ex_sameCliqueAs,uri_ex_Clique,X0))
| ~ icext(sK14,X0) ),
inference(resolution,[],[f191,f107]) ).
fof(f107,plain,
iext(uri_owl_someValuesFrom,sK14,uri_ex_Clique),
inference(cnf_transformation,[],[f60]) ).
fof(f191,plain,
! [X0,X1] :
( ~ iext(uri_owl_someValuesFrom,sK14,X1)
| ~ icext(sK14,X0)
| iext(uri_ex_sameCliqueAs,X0,sK2(uri_ex_sameCliqueAs,X1,X0)) ),
inference(resolution,[],[f64,f104]) ).
fof(f104,plain,
iext(uri_owl_onProperty,sK14,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f60]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X3)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| iext(X1,X3,sK2(X1,X2,X3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ! [X3] :
( ( ( icext(X2,sK2(X1,X2,X3))
& iext(X1,X3,sK2(X1,X2,X3)) )
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ! [X5] :
( ~ icext(X2,X5)
| ~ iext(X1,X3,X5) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f30,f31]) ).
fof(f31,plain,
! [X1,X2,X3] :
( ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) )
=> ( icext(X2,sK2(X1,X2,X3))
& iext(X1,X3,sK2(X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ! [X3] :
( ( ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) )
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ! [X5] :
( ~ icext(X2,X5)
| ~ iext(X1,X3,X5) ) ) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X2,X1,X0] :
( ~ iext(uri_owl_someValuesFrom,X2,X0)
| ~ iext(uri_owl_onProperty,X2,X1)
| ! [X3] :
( ( ? [X4] :
( icext(X0,X4)
& iext(X1,X3,X4) )
| ~ icext(X2,X3) )
& ( icext(X2,X3)
| ! [X4] :
( ~ icext(X0,X4)
| ~ iext(X1,X3,X4) ) ) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X2,X1,X0] :
( ~ iext(uri_owl_someValuesFrom,X2,X0)
| ~ iext(uri_owl_onProperty,X2,X1)
| ! [X3] :
( ? [X4] :
( icext(X0,X4)
& iext(X1,X3,X4) )
<=> icext(X2,X3) ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X1,X0,X2] :
( ! [X3] :
( ? [X4] :
( icext(X0,X4)
& iext(X1,X3,X4) )
<=> icext(X2,X3) )
| ~ iext(uri_owl_onProperty,X2,X1)
| ~ iext(uri_owl_someValuesFrom,X2,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0,X2] :
( ( iext(uri_owl_onProperty,X2,X1)
& iext(uri_owl_someValuesFrom,X2,X0) )
=> ! [X3] :
( ? [X4] :
( icext(X0,X4)
& iext(X1,X3,X4) )
<=> icext(X2,X3) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X3,X2] :
( ( iext(uri_owl_someValuesFrom,X2,X1)
& iext(uri_owl_onProperty,X2,X3) )
=> ! [X0] :
( ? [X4] :
( icext(X1,X4)
& iext(X3,X0,X4) )
<=> icext(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f887,plain,
! [X10,X11,X8,X9] :
( ~ iext(uri_ex_sameCliqueAs,X10,X11)
| iext(uri_foaf_knows,X8,X9)
| ~ iext(uri_rdf_type,X8,X10)
| ~ iext(uri_rdf_type,X9,X11) ),
inference(resolution,[],[f423,f138]) ).
fof(f138,plain,
! [X0,X1] :
( iext(sK12,X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(resolution,[],[f68,f112]) ).
fof(f112,plain,
iext(uri_owl_inverseOf,sK12,uri_rdf_type),
inference(cnf_transformation,[],[f60]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_inverseOf,X1,X0)
| ~ iext(X0,X3,X2)
| iext(X1,X2,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ( ip(X1)
& ip(X0)
& ! [X2,X3] :
( ( iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X1,X2,X3)
| ~ iext(X0,X3,X2) ) ) )
| ~ iext(uri_owl_inverseOf,X1,X0) )
& ( iext(uri_owl_inverseOf,X1,X0)
| ~ ip(X1)
| ~ ip(X0)
| ( ( ~ iext(X1,sK3(X0,X1),sK4(X0,X1))
| ~ iext(X0,sK4(X0,X1),sK3(X0,X1)) )
& ( iext(X1,sK3(X0,X1),sK4(X0,X1))
| iext(X0,sK4(X0,X1),sK3(X0,X1)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X4,X5] :
( ( ~ iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X1,X4,X5)
| iext(X0,X5,X4) ) )
=> ( ( ~ iext(X1,sK3(X0,X1),sK4(X0,X1))
| ~ iext(X0,sK4(X0,X1),sK3(X0,X1)) )
& ( iext(X1,sK3(X0,X1),sK4(X0,X1))
| iext(X0,sK4(X0,X1),sK3(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ( ( ip(X1)
& ip(X0)
& ! [X2,X3] :
( ( iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X1,X2,X3)
| ~ iext(X0,X3,X2) ) ) )
| ~ iext(uri_owl_inverseOf,X1,X0) )
& ( iext(uri_owl_inverseOf,X1,X0)
| ~ ip(X1)
| ~ ip(X0)
| ? [X4,X5] :
( ( ~ iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X1,X4,X5)
| iext(X0,X5,X4) ) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( ( ip(X1)
& ip(X0)
& ! [X3,X2] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X1,X0) )
& ( iext(uri_owl_inverseOf,X1,X0)
| ~ ip(X1)
| ~ ip(X0)
| ? [X3,X2] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( ( ip(X1)
& ip(X0)
& ! [X3,X2] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X1,X0) )
& ( iext(uri_owl_inverseOf,X1,X0)
| ~ ip(X1)
| ~ ip(X0)
| ? [X3,X2] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( ip(X1)
& ip(X0)
& ! [X3,X2] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) ) )
<=> iext(uri_owl_inverseOf,X1,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X8,X7] :
( ( ! [X4,X0] :
( iext(X7,X0,X4)
<=> iext(X8,X4,X0) )
& ip(X8)
& ip(X7) )
<=> iext(uri_owl_inverseOf,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f423,plain,
! [X2,X3,X0,X1] :
( ~ iext(sK12,X0,X1)
| iext(uri_foaf_knows,X3,X1)
| ~ iext(uri_rdf_type,X3,X2)
| ~ iext(uri_ex_sameCliqueAs,X2,X0) ),
inference(resolution,[],[f422,f77]) ).
fof(f77,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9] :
( ~ sP0(X0,X1,X2,X3)
| ~ iext(X0,X9,X8)
| ~ iext(X2,X10,X9)
| iext(X1,X11,X8)
| ~ iext(X3,X11,X10) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ip(X0)
| ( ~ iext(X1,sK8(X0,X1,X2,X3),sK5(X0,X1,X2,X3))
& iext(X2,sK7(X0,X1,X2,X3),sK6(X0,X1,X2,X3))
& iext(X3,sK8(X0,X1,X2,X3),sK7(X0,X1,X2,X3))
& iext(X0,sK6(X0,X1,X2,X3),sK5(X0,X1,X2,X3)) )
| ~ ip(X1)
| ~ ip(X3)
| ~ ip(X2) )
& ( ( ip(X0)
& ! [X8,X9,X10,X11] :
( iext(X1,X11,X8)
| ~ iext(X2,X10,X9)
| ~ iext(X3,X11,X10)
| ~ iext(X0,X9,X8) )
& ip(X1)
& ip(X3)
& ip(X2) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f42,f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( ~ iext(X1,X7,X4)
& iext(X2,X6,X5)
& iext(X3,X7,X6)
& iext(X0,X5,X4) )
=> ( ~ iext(X1,sK8(X0,X1,X2,X3),sK5(X0,X1,X2,X3))
& iext(X2,sK7(X0,X1,X2,X3),sK6(X0,X1,X2,X3))
& iext(X3,sK8(X0,X1,X2,X3),sK7(X0,X1,X2,X3))
& iext(X0,sK6(X0,X1,X2,X3),sK5(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ip(X0)
| ? [X4,X5,X6,X7] :
( ~ iext(X1,X7,X4)
& iext(X2,X6,X5)
& iext(X3,X7,X6)
& iext(X0,X5,X4) )
| ~ ip(X1)
| ~ ip(X3)
| ~ ip(X2) )
& ( ( ip(X0)
& ! [X8,X9,X10,X11] :
( iext(X1,X11,X8)
| ~ iext(X2,X10,X9)
| ~ iext(X3,X11,X10)
| ~ iext(X0,X9,X8) )
& ip(X1)
& ip(X3)
& ip(X2) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X2,X1,X5,X6] :
( ( sP0(X2,X1,X5,X6)
| ~ ip(X2)
| ? [X7,X8,X10,X9] :
( ~ iext(X1,X9,X7)
& iext(X5,X10,X8)
& iext(X6,X9,X10)
& iext(X2,X8,X7) )
| ~ ip(X1)
| ~ ip(X6)
| ~ ip(X5) )
& ( ( ip(X2)
& ! [X7,X8,X10,X9] :
( iext(X1,X9,X7)
| ~ iext(X5,X10,X8)
| ~ iext(X6,X9,X10)
| ~ iext(X2,X8,X7) )
& ip(X1)
& ip(X6)
& ip(X5) )
| ~ sP0(X2,X1,X5,X6) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X2,X1,X5,X6] :
( ( sP0(X2,X1,X5,X6)
| ~ ip(X2)
| ? [X7,X8,X10,X9] :
( ~ iext(X1,X9,X7)
& iext(X5,X10,X8)
& iext(X6,X9,X10)
& iext(X2,X8,X7) )
| ~ ip(X1)
| ~ ip(X6)
| ~ ip(X5) )
& ( ( ip(X2)
& ! [X7,X8,X10,X9] :
( iext(X1,X9,X7)
| ~ iext(X5,X10,X8)
| ~ iext(X6,X9,X10)
| ~ iext(X2,X8,X7) )
& ip(X1)
& ip(X6)
& ip(X5) )
| ~ sP0(X2,X1,X5,X6) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X5,X6] :
( sP0(X2,X1,X5,X6)
<=> ( ip(X2)
& ! [X7,X8,X10,X9] :
( iext(X1,X9,X7)
| ~ iext(X5,X10,X8)
| ~ iext(X6,X9,X10)
| ~ iext(X2,X8,X7) )
& ip(X1)
& ip(X6)
& ip(X5) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f422,plain,
sP0(sK12,uri_foaf_knows,uri_ex_sameCliqueAs,uri_rdf_type),
inference(resolution,[],[f421,f105]) ).
fof(f105,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK15),
inference(cnf_transformation,[],[f60]) ).
fof(f421,plain,
! [X0] :
( ~ iext(uri_owl_propertyChainAxiom,X0,sK15)
| sP0(sK12,X0,uri_ex_sameCliqueAs,uri_rdf_type) ),
inference(resolution,[],[f420,f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| sP0(X4,X1,X3,X2)
| ~ iext(uri_owl_propertyChainAxiom,X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4] :
( ( ( sP0(X4,X1,X3,X2)
| ~ iext(uri_owl_propertyChainAxiom,X1,X0) )
& ( iext(uri_owl_propertyChainAxiom,X1,X0)
| ~ sP0(X4,X1,X3,X2) ) )
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X6,X5,X2] :
( ( ( sP0(X2,X1,X5,X6)
| ~ iext(uri_owl_propertyChainAxiom,X1,X0) )
& ( iext(uri_owl_propertyChainAxiom,X1,X0)
| ~ sP0(X2,X1,X5,X6) ) )
| ~ sP1(X0,X1,X6,X5,X2) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X6,X5,X2] :
( ( sP0(X2,X1,X5,X6)
<=> iext(uri_owl_propertyChainAxiom,X1,X0) )
| ~ sP1(X0,X1,X6,X5,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f420,plain,
! [X0] : sP1(sK15,X0,uri_rdf_type,uri_ex_sameCliqueAs,sK12),
inference(resolution,[],[f417,f114]) ).
fof(f114,plain,
iext(uri_rdf_first,sK13,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f60]) ).
fof(f417,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK13,X1)
| sP1(sK15,X0,uri_rdf_type,X1,sK12) ),
inference(resolution,[],[f374,f110]) ).
fof(f110,plain,
iext(uri_rdf_first,sK15,uri_rdf_type),
inference(cnf_transformation,[],[f60]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK15,X0)
| sP1(sK15,X2,X0,X1,sK12)
| ~ iext(uri_rdf_first,sK13,X1) ),
inference(resolution,[],[f290,f108]) ).
fof(f108,plain,
iext(uri_rdf_first,sK16,sK12),
inference(cnf_transformation,[],[f60]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK16,X1)
| ~ iext(uri_rdf_first,sK15,X0)
| ~ iext(uri_rdf_first,sK13,X3)
| sP1(sK15,X2,X0,X3,X1) ),
inference(resolution,[],[f229,f99]) ).
fof(f99,plain,
iext(uri_rdf_rest,sK15,sK13),
inference(cnf_transformation,[],[f60]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,sK13)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_first,sK16,X0)
| sP1(X1,X3,X4,X2,X0)
| ~ iext(uri_rdf_first,sK13,X2) ),
inference(resolution,[],[f228,f98]) ).
fof(f98,plain,
iext(uri_rdf_rest,sK13,sK16),
inference(cnf_transformation,[],[f60]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X0,sK16)
| ~ iext(uri_rdf_first,sK16,X5)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_first,X0,X1)
| sP1(X2,X3,X4,X1,X5)
| ~ iext(uri_rdf_first,X2,X4) ),
inference(resolution,[],[f83,f115]) ).
fof(f115,plain,
iext(uri_rdf_rest,sK16,uri_rdf_nil),
inference(cnf_transformation,[],[f60]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X5)
| sP1(X4,X0,X2,X5,X1)
| ~ iext(uri_rdf_first,X6,X1)
| ~ iext(uri_rdf_rest,X3,X6)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ iext(uri_rdf_rest,X4,X3)
| ~ iext(uri_rdf_first,X6,X1)
| sP1(X4,X0,X2,X5,X1)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X3,X6) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X6,X4,X0,X5,X3] :
( ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X3,X2)
| sP1(X0,X1,X6,X5,X2)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X6)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(definition_folding,[],[f22,f26,f25]) ).
fof(f22,plain,
! [X1,X2,X6,X4,X0,X5,X3] :
( ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X3,X2)
| ( ( ip(X2)
& ! [X7,X8,X10,X9] :
( iext(X1,X9,X7)
| ~ iext(X5,X10,X8)
| ~ iext(X6,X9,X10)
| ~ iext(X2,X8,X7) )
& ip(X1)
& ip(X6)
& ip(X5) )
<=> iext(uri_owl_propertyChainAxiom,X1,X0) )
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X6)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X2,X5,X4,X1,X3,X6,X0] :
( ( ( ip(X1)
& ip(X6)
& ! [X8,X9,X10,X7] :
( iext(X1,X9,X7)
| ~ iext(X2,X8,X7)
| ~ iext(X5,X10,X8)
| ~ iext(X6,X9,X10) )
& ip(X5)
& ip(X2) )
<=> iext(uri_owl_propertyChainAxiom,X1,X0) )
| ~ iext(uri_rdf_rest,X4,X3)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X6) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X2,X5,X4,X1,X3,X6,X0] :
( ( iext(uri_rdf_rest,X4,X3)
& iext(uri_rdf_rest,X0,X4)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_first,X3,X2)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X0,X6) )
=> ( ( ip(X1)
& ip(X6)
& ! [X8,X9,X10,X7] :
( ( iext(X2,X8,X7)
& iext(X5,X10,X8)
& iext(X6,X9,X10) )
=> iext(X1,X9,X7) )
& ip(X5)
& ip(X2) )
<=> iext(uri_owl_propertyChainAxiom,X1,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X9,X3,X12,X11,X10,X8,X7] :
( ( iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_rdf_rest,X9,X10)
& iext(uri_rdf_first,X11,X12)
& iext(uri_rdf_first,X9,X7)
& iext(uri_rdf_rest,X10,X11)
& iext(uri_rdf_first,X10,X8) )
=> ( iext(uri_owl_propertyChainAxiom,X3,X9)
<=> ( ip(X7)
& ! [X16,X15,X13,X14] :
( ( iext(X7,X13,X14)
& iext(X12,X15,X16)
& iext(X8,X14,X15) )
=> iext(X3,X13,X16) )
& ip(X3)
& ip(X12)
& ip(X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_003) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB013+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 17:34:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (17008)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (17007)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (17000)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (17000)Instruction limit reached!
% 0.19/0.53 % (17000)------------------------------
% 0.19/0.53 % (17000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17000)Termination reason: Unknown
% 0.19/0.53 % (17000)Termination phase: Naming
% 0.19/0.53
% 0.19/0.53 % (17000)Memory used [KB]: 895
% 0.19/0.53 % (17000)Time elapsed: 0.002 s
% 0.19/0.53 % (17000)Instructions burned: 2 (million)
% 0.19/0.53 % (17000)------------------------------
% 0.19/0.53 % (17000)------------------------------
% 0.19/0.53 % (17016)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (16999)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (16999)Instruction limit reached!
% 0.19/0.54 % (16999)------------------------------
% 0.19/0.54 % (16999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (17015)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55 % (17006)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55 % (16999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16999)Termination reason: Unknown
% 0.19/0.55 % (16999)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (16999)Memory used [KB]: 5628
% 0.19/0.55 % (16999)Time elapsed: 0.131 s
% 0.19/0.55 % (16999)Instructions burned: 7 (million)
% 0.19/0.55 % (16999)------------------------------
% 0.19/0.55 % (16999)------------------------------
% 0.19/0.56 % (16997)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.56 % (17012)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.56 % (17011)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (17010)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (17014)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.56 % (17020)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56 % (17019)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.56 % (17002)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (17013)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.57 % (16998)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 % (16995)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 % (16996)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 TRYING [1]
% 0.19/0.57 TRYING [2]
% 0.19/0.57 % (17018)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.57 % (17021)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.57 % (16992)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.57 % (17005)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57 % (16994)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.58 % (17009)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.58 % (17001)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.58 % (17003)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.58 % (17004)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.58 TRYING [1]
% 0.19/0.58 TRYING [2]
% 0.19/0.58 % (17017)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.72/0.59 TRYING [1]
% 1.72/0.59 % (16993)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.72/0.59 TRYING [3]
% 1.72/0.60 % (16993)Refutation not found, incomplete strategy% (16993)------------------------------
% 1.72/0.60 % (16993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.60 % (16993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.60 % (16993)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.60
% 1.72/0.60 % (16993)Memory used [KB]: 5500
% 1.72/0.60 % (16993)Time elapsed: 0.156 s
% 1.72/0.60 % (16993)Instructions burned: 5 (million)
% 1.72/0.60 % (16993)------------------------------
% 1.72/0.60 % (16993)------------------------------
% 1.90/0.60 TRYING [2]
% 1.90/0.60 TRYING [3]
% 1.90/0.61 % (16994)Instruction limit reached!
% 1.90/0.61 % (16994)------------------------------
% 1.90/0.61 % (16994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.62 TRYING [3]
% 1.90/0.63 % (16994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.63 % (16994)Termination reason: Unknown
% 1.90/0.63 % (16994)Termination phase: Saturation
% 1.90/0.63
% 1.90/0.63 % (16994)Memory used [KB]: 1407
% 1.90/0.63 % (16994)Time elapsed: 0.207 s
% 1.90/0.63 % (16994)Instructions burned: 38 (million)
% 1.90/0.63 % (16994)------------------------------
% 1.90/0.63 % (16994)------------------------------
% 2.21/0.64 % (17007)First to succeed.
% 2.21/0.64 % (16998)Instruction limit reached!
% 2.21/0.64 % (16998)------------------------------
% 2.21/0.64 % (16998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64 % (16998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64 % (16998)Termination reason: Unknown
% 2.21/0.64 % (16998)Termination phase: Finite model building SAT solving
% 2.21/0.64
% 2.21/0.64 % (16998)Memory used [KB]: 7931
% 2.21/0.64 % (16998)Time elapsed: 0.212 s
% 2.21/0.64 % (16998)Instructions burned: 53 (million)
% 2.21/0.64 % (16998)------------------------------
% 2.21/0.64 % (16998)------------------------------
% 2.21/0.65 % (16996)Instruction limit reached!
% 2.21/0.65 % (16996)------------------------------
% 2.21/0.65 % (16996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (16996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (16996)Termination reason: Unknown
% 2.21/0.65 % (16996)Termination phase: Saturation
% 2.21/0.65
% 2.21/0.65 % (16996)Memory used [KB]: 6396
% 2.21/0.65 % (16996)Time elapsed: 0.240 s
% 2.21/0.65 % (16996)Instructions burned: 52 (million)
% 2.21/0.65 % (16996)------------------------------
% 2.21/0.65 % (16996)------------------------------
% 2.21/0.65 % (16997)Instruction limit reached!
% 2.21/0.65 % (16997)------------------------------
% 2.21/0.65 % (16997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (16997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (16997)Termination reason: Unknown
% 2.21/0.65 % (16997)Termination phase: Saturation
% 2.21/0.65
% 2.21/0.65 % (16997)Memory used [KB]: 6396
% 2.21/0.65 % (16997)Time elapsed: 0.243 s
% 2.21/0.65 % (16997)Instructions burned: 49 (million)
% 2.21/0.65 % (16997)------------------------------
% 2.21/0.65 % (16997)------------------------------
% 2.21/0.66 % (17024)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.21/0.66 % (17002)Instruction limit reached!
% 2.21/0.66 % (17002)------------------------------
% 2.21/0.66 % (17002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (17002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (17002)Termination reason: Unknown
% 2.21/0.66 % (17002)Termination phase: Saturation
% 2.21/0.66
% 2.21/0.66 % (17002)Memory used [KB]: 6908
% 2.21/0.66 % (17002)Time elapsed: 0.246 s
% 2.21/0.66 % (17002)Instructions burned: 50 (million)
% 2.21/0.66 % (17002)------------------------------
% 2.21/0.66 % (17002)------------------------------
% 2.21/0.66 % (17009)Instruction limit reached!
% 2.21/0.66 % (17009)------------------------------
% 2.21/0.66 % (17009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (17009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (17009)Termination reason: Unknown
% 2.21/0.66 % (17009)Termination phase: Finite model building SAT solving
% 2.21/0.66
% 2.21/0.66 % (17009)Memory used [KB]: 8187
% 2.21/0.66 % (17009)Time elapsed: 0.176 s
% 2.21/0.66 % (17009)Instructions burned: 60 (million)
% 2.21/0.66 % (17009)------------------------------
% 2.21/0.66 % (17009)------------------------------
% 2.21/0.66 % (17007)Refutation found. Thanks to Tanya!
% 2.21/0.66 % SZS status Theorem for theBenchmark
% 2.21/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.66 % (17007)------------------------------
% 2.21/0.66 % (17007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (17007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (17007)Termination reason: Refutation
% 2.21/0.66
% 2.21/0.66 % (17007)Memory used [KB]: 2046
% 2.21/0.66 % (17007)Time elapsed: 0.225 s
% 2.21/0.66 % (17007)Instructions burned: 58 (million)
% 2.21/0.66 % (17007)------------------------------
% 2.21/0.66 % (17007)------------------------------
% 2.21/0.66 % (16991)Success in time 0.305 s
%------------------------------------------------------------------------------