%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB013+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:04:25 PM UTC 2026
% Result : Theorem 121.98s 17.42s
% Output : CNFRefutation 121.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 132 ( 42 unt; 2 def)
% Number of atoms : 613 ( 9 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 774 ( 293 ~; 293 |; 167 &)
% ( 16 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 380 ( 0 sgn 343 !; 37 ?; 112 :)
% 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,
! [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) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f3,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f4,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(f5,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f6,axiom,
! [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) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_003) ).
fof(f7,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1)
& ip(X0) ) ),
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,[status(cth)],[f8]) ).
fof(f10,axiom,
? [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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).
fof(f11,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(flattening,[],[f9]) ).
fof(f12,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(ennf_transformation,[],[f2]) ).
fof(f13,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(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( ~ icext(X0,X2)
| icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( ~ iext(X0,X2,X3)
| iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f16,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(ennf_transformation,[],[f6]) ).
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(flattening,[],[f16]) ).
fof(f21,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(f22,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) ) )
& ( ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) )
| icext(X0,X3) ) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ! [X3] :
( ( ~ icext(X0,X3)
| ? [X5] :
( icext(X2,X5)
& iext(X1,X3,X5) ) )
& ( ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) )
| icext(X0,X3) ) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ! [X3] :
( ( ~ icext(X0,X3)
| ( icext(X2,sK2(X1,X2,X3))
& iext(X1,X3,sK2(X1,X2,X3)) ) )
& ( ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) )
| icext(X0,X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X5,sK2(X1,X2,X3))],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ( ! [X2] :
( ~ icext(X0,X2)
| icext(X1,X2) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( icext(X0,X2)
& ~ icext(X1,X2) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f26,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ( ! [X2] :
( ~ icext(X0,X2)
| icext(X1,X2) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( icext(X0,X2)
& ~ icext(X1,X2) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ( ! [X3] :
( ~ icext(X0,X3)
| icext(X1,X3) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( icext(X0,X2)
& ~ icext(X1,X2) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ( ! [X3] :
( ~ icext(X0,X3)
| icext(X1,X3) )
& ic(X1)
& ic(X0) ) )
& ( ( icext(X0,sK3(X0,X1))
& ~ icext(X1,sK3(X0,X1)) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ! [X2,X3] :
( ~ iext(X0,X2,X3)
| iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( iext(X0,X2,X3)
& ~ iext(X1,X2,X3) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ! [X2,X3] :
( ~ iext(X0,X2,X3)
| iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( iext(X0,X2,X3)
& ~ iext(X1,X2,X3) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ! [X4,X5] :
( ~ iext(X0,X4,X5)
| iext(X1,X4,X5) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( iext(X0,X2,X3)
& ~ iext(X1,X2,X3) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ! [X4,X5] :
( ~ iext(X0,X4,X5)
| iext(X1,X4,X5) )
& ip(X1)
& ip(X0) ) )
& ( ( iext(X0,sK4(X0,X1),sK5(X0,X1))
& ~ iext(X1,sK4(X0,X1),sK5(X0,X1)) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1))],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 )
& ( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X6,X4,X2,X0,X1] :
( ~ sP1(X6,X4,X2,X0,X1)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| sP0(X0,X2,X4,X6) )
& ( ~ sP0(X0,X2,X4,X6)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP1(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) ) ) ),
inference(rectify,[],[f34]) ).
fof(f40,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X2,X3] :
( ( ~ iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( ( iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f41,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X2,X3] :
( ( ~ iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( ( iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X4,X5] :
( ( ~ iext(X0,X4,X5)
| iext(X1,X5,X4) )
& ( ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( ( iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X4,X5] :
( ( ~ iext(X0,X4,X5)
| iext(X1,X5,X4) )
& ( ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) ) )
& ( ( ( iext(X0,sK10(X0,X1),sK11(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)) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X2,sK10(X0,X1)),skolemize(X3,sK11(X0,X1))],[f42]) ).
fof(f44,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(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15),skolemize(X4,sK16)],[f10]) ).
fof(f45,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( ~ 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,[],[f24]) ).
fof(f50,plain,
! [X3,X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X0,X3)
| icext(X1,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f55,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ iext(X0,X4,X5)
| iext(X1,X4,X5) ),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4)
| sP0(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ 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)
| sP1(X6,X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f75,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f80,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f11]) ).
fof(f81,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[],[f44]) ).
fof(f82,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[],[f44]) ).
fof(f83,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[],[f44]) ).
fof(f84,plain,
iext(uri_owl_inverseOf,sK13,uri_rdf_type),
inference(cnf_transformation,[],[f44]) ).
fof(f85,plain,
iext(uri_rdf_rest,sK16,uri_rdf_nil),
inference(cnf_transformation,[],[f44]) ).
fof(f86,plain,
iext(uri_rdf_first,sK16,sK13),
inference(cnf_transformation,[],[f44]) ).
fof(f87,plain,
iext(uri_rdf_rest,sK15,sK16),
inference(cnf_transformation,[],[f44]) ).
fof(f88,plain,
iext(uri_rdf_first,sK15,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f44]) ).
fof(f89,plain,
iext(uri_rdf_rest,sK14,sK15),
inference(cnf_transformation,[],[f44]) ).
fof(f90,plain,
iext(uri_rdf_first,sK14,uri_rdf_type),
inference(cnf_transformation,[],[f44]) ).
fof(f91,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK14),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
iext(uri_owl_someValuesFrom,sK12,uri_ex_Clique),
inference(cnf_transformation,[],[f44]) ).
fof(f94,plain,
iext(uri_owl_onProperty,sK12,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f44]) ).
fof(f96,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK12),
inference(cnf_transformation,[],[f44]) ).
fof(f98,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[],[f44]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(X2,X3,sK2(X2,X1,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_someValuesFrom,X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(X3,X1,X2)
| ~ iext(uri_rdfs_subPropertyOf,X0,X3)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,X2,X1,X0)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4)
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP1(X5,X3,X1,X6,X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(X3,X2,X1)
| ~ iext(uri_owl_inverseOf,X3,X0)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_84,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f80]) ).
tcf(c_86,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[],[f98]) ).
tcf(c_88,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK12),
inference(cnf_transformation,[],[f96]) ).
tcf(c_90,plain,
iext(uri_owl_onProperty,sK12,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f94]) ).
tcf(c_91,plain,
iext(uri_owl_someValuesFrom,sK12,uri_ex_Clique),
inference(cnf_transformation,[],[f93]) ).
tcf(c_93,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK14),
inference(cnf_transformation,[],[f91]) ).
tcf(c_94,plain,
iext(uri_rdf_first,sK14,uri_rdf_type),
inference(cnf_transformation,[],[f90]) ).
tcf(c_95,plain,
iext(uri_rdf_rest,sK14,sK15),
inference(cnf_transformation,[],[f89]) ).
tcf(c_96,plain,
iext(uri_rdf_first,sK15,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f88]) ).
tcf(c_97,plain,
iext(uri_rdf_rest,sK15,sK16),
inference(cnf_transformation,[],[f87]) ).
tcf(c_98,plain,
iext(uri_rdf_first,sK16,sK13),
inference(cnf_transformation,[],[f86]) ).
tcf(c_99,plain,
iext(uri_rdf_rest,sK16,uri_rdf_nil),
inference(cnf_transformation,[],[f85]) ).
tcf(c_100,plain,
iext(uri_owl_inverseOf,sK13,uri_rdf_type),
inference(cnf_transformation,[],[f84]) ).
tcf(c_101,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[],[f83]) ).
tcf(c_102,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[],[f82]) ).
tcf(c_103,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[],[f81]) ).
tcf(c_1610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP1(X3,uri_ex_sameCliqueAs,X1,X4,X0)
| ~ iext(uri_rdf_rest,sK15,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_77]) ).
tcf(c_1760,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK13,uri_ex_sameCliqueAs,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK16,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK16)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1610]) ).
tcf(c_1792,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK13,uri_ex_sameCliqueAs,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1760,c_99,c_97,c_1760]) ).
tcf(c_1912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP1(X3,uri_ex_sameCliqueAs,X1,X4,X0)
| ~ iext(uri_rdf_rest,sK15,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_77]) ).
tcf(c_1997,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK13,uri_ex_sameCliqueAs,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK16,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK16)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1912]) ).
tcf(c_2014,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK13,uri_ex_sameCliqueAs,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1997,c_99,c_97,c_1760]) ).
tcf(c_2016,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,uri_ex_sameCliqueAs,sK13)
| ~ iext(uri_rdf_rest,X1,sK15)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ),
inference(superposition,[status(thm)],[c_2014,c_67]) ).
tcf(c_2018,plain,
! [X0: $i] :
( sP0(uri_foaf_knows,X0,uri_ex_sameCliqueAs,sK13)
| ~ iext(uri_rdf_rest,sK14,sK15)
| ~ iext(uri_rdf_first,sK14,X0) ),
inference(superposition,[status(thm)],[c_93,c_2016]) ).
tcf(c_2026,plain,
! [X0: $i] :
( sP0(uri_foaf_knows,X0,uri_ex_sameCliqueAs,sK13)
| ~ iext(uri_rdf_first,sK14,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2018,c_95,c_2018]) ).
tcf(c_2970,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(superposition,[status(thm)],[c_101,c_50]) ).
tcf(c_2974,plain,
! [X0: $i] :
( icext(sK12,X0)
| ~ icext(uri_ex_Clique,X0) ),
inference(superposition,[status(thm)],[c_88,c_58]) ).
tcf(c_3040,plain,
! [X0: $i] :
( iext(X0,uri_ex_JoesGang,uri_ex_bob)
| ~ iext(uri_owl_inverseOf,X0,uri_rdf_type) ),
inference(superposition,[status(thm)],[c_103,c_82]) ).
tcf(c_3113,plain,
icext(sK12,uri_ex_JoesGang),
inference(superposition,[status(thm)],[c_2970,c_2974]) ).
tcf(c_3154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP1(X3,uri_ex_sameCliqueAs,X1,X4,X0)
| ~ iext(uri_rdf_rest,sK15,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_77]) ).
tcf(c_3222,plain,
iext(sK13,uri_ex_JoesGang,uri_ex_bob),
inference(superposition,[status(thm)],[c_100,c_3040]) ).
tcf(c_3502,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK13,uri_ex_sameCliqueAs,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK16,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK16)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_3154]) ).
tcf(c_3543,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK13,uri_ex_sameCliqueAs,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3502,c_1792]) ).
tcf(c_3545,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,uri_ex_sameCliqueAs,sK13)
| ~ iext(uri_rdf_rest,X1,sK15)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ),
inference(superposition,[status(thm)],[c_3543,c_67]) ).
tcf(c_3547,plain,
! [X0: $i] :
( sP0(uri_foaf_knows,X0,uri_ex_sameCliqueAs,sK13)
| ~ iext(uri_rdf_rest,sK14,sK15)
| ~ iext(uri_rdf_first,sK14,X0) ),
inference(superposition,[status(thm)],[c_93,c_3545]) ).
tcf(c_3577,plain,
! [X0: $i] :
( sP0(uri_foaf_knows,X0,uri_ex_sameCliqueAs,sK13)
| ~ iext(uri_rdf_first,sK14,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3547,c_95,c_2018]) ).
tcf(c_26083,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(superposition,[status(thm)],[c_101,c_50]) ).
tcf(c_26087,plain,
! [X0: $i] :
( icext(sK12,X0)
| ~ icext(uri_ex_Clique,X0) ),
inference(superposition,[status(thm)],[c_88,c_58]) ).
tcf(c_26088,plain,
icext(sK12,uri_ex_JoesGang),
inference(superposition,[status(thm)],[c_26083,c_26087]) ).
tcf(c_26211,plain,
! [X0: $i,X1: $i] :
( iext(X0,X1,sK2(X0,uri_ex_Clique,X1))
| ~ icext(sK12,X1)
| ~ iext(uri_owl_onProperty,sK12,X0) ),
inference(superposition,[status(thm)],[c_91,c_52]) ).
tcf(c_26346,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X1,X2,sK2(X0,uri_ex_Clique,X2))
| ~ icext(sK12,X2)
| ~ iext(uri_owl_onProperty,sK12,X0)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(superposition,[status(thm)],[c_26211,c_63]) ).
tcf(c_28616,plain,
! [X0: $i,X1: $i] :
( ( sK2(X0,uri_ex_Clique,X1) = X1 )
| ~ icext(sK12,X1)
| ~ iext(uri_rdfs_subPropertyOf,X0,uri_owl_sameAs)
| ~ iext(uri_owl_onProperty,sK12,X0) ),
inference(superposition,[status(thm)],[c_26346,c_65]) ).
tcf(c_32131,plain,
! [X0: $i] :
( ( sK2(uri_ex_sameCliqueAs,uri_ex_Clique,X0) = X0 )
| ~ icext(sK12,X0)
| ~ iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) ),
inference(superposition,[status(thm)],[c_90,c_28616]) ).
tcf(c_32142,plain,
! [X0: $i] :
( ( sK2(uri_ex_sameCliqueAs,uri_ex_Clique,X0) = X0 )
| ~ icext(sK12,X0) ),
inference(global_subsumption_just,[status(thm)],[c_32131,c_86,c_32131]) ).
tcf(c_32146,plain,
sK2(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang) = uri_ex_JoesGang,
inference(superposition,[status(thm)],[c_26088,c_32142]) ).
tcf(c_32205,plain,
( iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)
| ~ icext(sK12,uri_ex_JoesGang)
| ~ iext(uri_owl_onProperty,sK12,uri_ex_sameCliqueAs) ),
inference(superposition,[status(thm)],[c_32146,c_26211]) ).
fof(f18,definition,
! [X0,X2,X4,X6] :
( sP0(X0,X2,X4,X6)
<=> ( ! [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) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X6,X4,X2,X0,X1] :
( ~ sP1(X6,X4,X2,X0,X1)
| ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> sP0(X0,X2,X4,X6) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f20,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)
| sP1(X6,X4,X2,X0,X1) ),
inference(definition_folding,[],[f17,f19,f18]) ).
fof(f36,plain,
! [X0,X2,X4,X6] :
( ( ~ sP0(X0,X2,X4,X6)
| ( ! [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) ) )
& ( ? [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)
| sP0(X0,X2,X4,X6) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0,X2,X4,X6] :
( ( ~ sP0(X0,X2,X4,X6)
| ( ! [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) ) )
& ( ? [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)
| sP0(X0,X2,X4,X6) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( ( ~ sP0(X0,X1,X2,X3)
| ( ! [X8,X9,X10,X11] :
( ~ iext(X3,X10,X11)
| ~ iext(X2,X9,X10)
| ~ iext(X1,X8,X9)
| iext(X0,X8,X11) )
& ip(X3)
& ip(X2)
& ip(X1)
& ip(X0) ) )
& ( ? [X4,X5,X6,X7] :
( iext(X3,X6,X7)
& iext(X2,X5,X6)
& iext(X1,X4,X5)
& ~ iext(X0,X4,X7) )
| ~ ip(X3)
| ~ ip(X2)
| ~ ip(X1)
| ~ ip(X0)
| sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ( ~ sP0(X0,X1,X2,X3)
| ( ! [X8,X9,X10,X11] :
( ~ iext(X3,X10,X11)
| ~ iext(X2,X9,X10)
| ~ iext(X1,X8,X9)
| iext(X0,X8,X11) )
& ip(X3)
& ip(X2)
& ip(X1)
& ip(X0) ) )
& ( ( iext(X3,sK8(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
& iext(X2,sK7(X0,X1,X2,X3),sK8(X0,X1,X2,X3))
& iext(X1,sK6(X0,X1,X2,X3),sK7(X0,X1,X2,X3))
& ~ iext(X0,sK6(X0,X1,X2,X3),sK9(X0,X1,X2,X3)) )
| ~ ip(X3)
| ~ ip(X2)
| ~ ip(X1)
| ~ ip(X0)
| sP0(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9]),skolemize(X4,sK6(X0,X1,X2,X3)),skolemize(X5,sK7(X0,X1,X2,X3)),skolemize(X6,sK8(X0,X1,X2,X3)),skolemize(X7,sK9(X0,X1,X2,X3))],[f38]) ).
fof(f64,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9] :
( ~ sP0(X0,X1,X2,X3)
| ~ iext(X3,X10,X11)
| ~ iext(X2,X9,X10)
| ~ iext(X1,X8,X9)
| iext(X0,X8,X11) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( iext(X0,X4,X7)
| ~ iext(X3,X6,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X1,X4,X5)
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_2029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( iext(uri_foaf_knows,X1,X4)
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(sK13,X3,X4)
| ~ iext(uri_ex_sameCliqueAs,X2,X3)
| ~ iext(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_2026,c_76]) ).
tcf(c_2061,plain,
! [X0: $i,X1: $i] :
( iext(uri_foaf_knows,uri_ex_alice,X1)
| ~ iext(uri_rdf_first,sK14,uri_rdf_type)
| ~ iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,X0)
| ~ iext(sK13,X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_2029]) ).
tcf(c_3579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( iext(uri_foaf_knows,X1,X4)
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(sK13,X3,X4)
| ~ iext(uri_ex_sameCliqueAs,X2,X3)
| ~ iext(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_3577,c_76]) ).
tcf(c_3667,plain,
! [X0: $i,X1: $i] :
( iext(uri_foaf_knows,uri_ex_alice,X1)
| ~ iext(uri_rdf_first,sK14,uri_rdf_type)
| ~ iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,X0)
| ~ iext(sK13,X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_3579]) ).
tcf(c_3998,plain,
! [X0: $i,X1: $i] :
( iext(uri_foaf_knows,uri_ex_alice,X1)
| ~ iext(sK13,X0,X1)
| ~ iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3667,c_94,c_2061]) ).
tcf(c_3999,plain,
! [X0: $i,X1: $i] :
( iext(uri_foaf_knows,uri_ex_alice,X1)
| ~ iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,X0)
| ~ iext(sK13,X0,X1) ),
inference(renaming,[status(thm)],[c_3998]) ).
tcf(c_4005,plain,
( iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)
| ~ iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang) ),
inference(superposition,[status(thm)],[c_3222,c_3999]) ).
tcf(c_32211,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_32205,c_4005,c_3113,c_84,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB013+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n019.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 15:25:49 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 121.98/17.42 % SZS status Started for theBenchmark.p
% 121.98/17.42 % SZS status Theorem for theBenchmark.p
% 121.98/17.42
% 121.98/17.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 121.98/17.42
% 121.98/17.42 % ------ iProver source info
% 121.98/17.42
% 121.98/17.42 % git: date: 2026-07-19 20:42:38 +0200
% 121.98/17.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 121.98/17.42 % git: non_committed_changes: false
% 121.98/17.42
% 121.98/17.42 % ------ Parsing...
% 121.98/17.42 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 121.98/17.42
% 121.98/17.42 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 121.98/17.42
% 121.98/17.42 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 121.98/17.42
% 121.98/17.42 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 % ------ Problem Properties
% 121.98/17.42
% 121.98/17.42 %
% 121.98/17.42 % clauses 55
% 121.98/17.42 % conjectures 1
% 121.98/17.42 % EPR 43
% 121.98/17.42 % Horn 49
% 121.98/17.42 % unary 21
% 121.98/17.42 % binary 13
% 121.98/17.42 % lits 140
% 121.98/17.42 % lits eq 1
% 121.98/17.42 % fd_pure 0
% 121.98/17.42 % fd_pseudo 0
% 121.98/17.42 % fd_cond 0
% 121.98/17.42 % fd_pseudo_cond 1
% 121.98/17.42 % AC symbols 0
% 121.98/17.42
% 121.98/17.42 % ------ Input Options Time Limit: Unbounded
% 121.98/17.42
% 121.98/17.42
% 121.98/17.42 % ------
% 121.98/17.42 % Current options:
% 121.98/17.42 % ------
% 121.98/17.42
% 121.98/17.42
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % ------ Proving...
% 121.98/17.42 %
% 121.98/17.42
% 121.98/17.42 % SZS status Theorem for theBenchmark.p
% 121.98/17.42
% 121.98/17.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 121.98/17.43
% 121.98/17.43
%------------------------------------------------------------------------------