%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB013+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 : Thu Sep 24 02:37:05 PM UTC 2026
% Result : Theorem 0.22s 0.63s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 84 ( 23 unt; 0 def)
% Number of atoms : 475 ( 10 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 615 ( 224 ~; 219 |; 155 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 26 con; 0-5 aty)
% Number of variables : 295 ( 263 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Z,P,C] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_someValuesFrom,Z,C) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] :
( icext(C,Y)
& iext(P,X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [P1,P2] :
( iext(uri_rdfs_subPropertyOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P1,X,Y)
=> iext(P2,X,Y) )
& ip(P2)
& ip(P1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [P,S1,P1,S2,P2,S3,P3] :
( ( iext(uri_rdf_rest,S3,uri_rdf_nil)
& iext(uri_rdf_first,S3,P3)
& iext(uri_rdf_rest,S2,S3)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,P1) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ! [Y0,Y1,Y2,Y3] :
( ( iext(P3,Y2,Y3)
& iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
=> iext(P,Y0,Y3) )
& ip(P3)
& ip(P2)
& ip(P1)
& ip(P) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) )
& ip(P2)
& ip(P1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,axiom,
? [BNODE_r,BNODE_i,BNODE_l1,BNODE_l2,BNODE_l3] :
( 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,BNODE_i,uri_rdf_type)
& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l3,BNODE_i)
& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_first,BNODE_l2,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,BNODE_l1)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,BNODE_r,uri_ex_Clique)
& iext(uri_owl_onProperty,BNODE_r,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,BNODE_r)
& 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') ).
fof(f11,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
( ! [X,C] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ! [X,C] :
( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f15,plain,
! [Z,P,C] :
( ! [X] :
( icext(Z,X)
<=> ? [Y] :
( icext(C,Y)
& iext(P,X,Y) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
! [Z,P,C] :
( ! [X] :
( ( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ( ? [Y] :
( icext(C,Y)
& iext(P,X,Y) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(NNF_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [Z,P,C] :
( ( ! [X] :
( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ! [X] :
( ? [Y] :
( icext(C,Y)
& iext(P,X,Y) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f18,plain,
! [Z,P,C] :
( ( ! [X] :
( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ! [X] :
( ( icext(C,sK0_skl(X,C,P,Z))
& iext(P,X,sK0_skl(X,C,P,Z)) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X,C,P,Z))],[f17]) ).
fof(f19,plain,
! [X0,X1,X2,X3] :
( iext(X2,X3,sK0_skl(X3,X1,X2,X0))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_someValuesFrom,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f22,plain,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f23,plain,
! [C1,C2] :
( ( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
( ! [C1,C2] :
( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f25,plain,
( ! [C1,C2] :
( ( ~ icext(C2,sK1_skl(C2,C1))
& icext(C1,sK1_skl(C2,C1)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl(C2,C1))],[f24]) ).
fof(f28,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f31,plain,
! [P1,P2] :
( iext(uri_rdfs_subPropertyOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
! [P1,P2] :
( ( ? [X,Y] :
( ~ iext(P2,X,Y)
& iext(P1,X,Y) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_rdfs_subPropertyOf,P1,P2) )
& ( ( ! [X,Y] :
( iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
inference(NNF_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
( ! [P1,P2] :
( ? [X,Y] :
( ~ iext(P2,X,Y)
& iext(P1,X,Y) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_rdfs_subPropertyOf,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f34,plain,
( ! [P1,P2] :
( ( ~ iext(P2,sK2_skl(P2,P1),sK3_skl(P2,P1))
& iext(P1,sK2_skl(P2,P1),sK3_skl(P2,P1)) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_rdfs_subPropertyOf,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(X,sK2_skl(P2,P1)),skolemize(Y,sK3_skl(P2,P1))],[f33]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f40,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f41,plain,
( ! [X,Y] :
( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ! [X,Y] :
( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f44,plain,
! [P,S1,P1,S2,P2,S3,P3] :
( ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ! [Y0,Y1,Y2,Y3] :
( iext(P,Y0,Y3)
| ~ iext(P3,Y2,Y3)
| ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) )
& ip(P3)
& ip(P2)
& ip(P1)
& ip(P) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,P3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f45,plain,
! [P,S1,P1,S2,P2,S3,P3] :
( ( ( ? [Y0,Y1,Y2,Y3] :
( ~ iext(P,Y0,Y3)
& iext(P3,Y2,Y3)
& iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
| ~ ip(P3)
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ( ! [Y0,Y1,Y2,Y3] :
( iext(P,Y0,Y3)
| ~ iext(P3,Y2,Y3)
| ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) )
& ip(P3)
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,P3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ),
inference(NNF_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
! [S1,P1,P2,P3] :
( ( ! [P] :
( ? [Y0,Y3] :
( ~ iext(P,Y0,Y3)
& ? [Y2] :
( iext(P3,Y2,Y3)
& ? [Y1] :
( iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) ) ) )
| ~ ip(P3)
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ! [P] :
( ( ! [Y0,Y3] :
( iext(P,Y0,Y3)
| ! [Y2] :
( ~ iext(P3,Y2,Y3)
| ! [Y1] :
( ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) ) ) )
& ip(P3)
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ! [S3] :
( ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,P3)
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f47,plain,
! [S1,P1,P2,P3] :
( ( ! [P] :
( ( ~ iext(P,sK4_skl(P,P3,P2,P1,S1),sK5_skl(P,P3,P2,P1,S1))
& iext(P3,sK6_skl(P,P3,P2,P1,S1),sK5_skl(P,P3,P2,P1,S1))
& iext(P2,sK7_skl(P,P3,P2,P1,S1),sK6_skl(P,P3,P2,P1,S1))
& iext(P1,sK4_skl(P,P3,P2,P1,S1),sK7_skl(P,P3,P2,P1,S1)) )
| ~ ip(P3)
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ! [P] :
( ( ! [Y0,Y3] :
( iext(P,Y0,Y3)
| ! [Y2] :
( ~ iext(P3,Y2,Y3)
| ! [Y1] :
( ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) ) ) )
& ip(P3)
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ! [S3] :
( ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,P3)
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(Y0,sK4_skl(P,P3,P2,P1,S1)),skolemize(Y3,sK5_skl(P,P3,P2,P1,S1)),skolemize(Y2,sK6_skl(P,P3,P2,P1,S1)),skolemize(Y1,sK7_skl(P,P3,P2,P1,S1))],[f46]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( iext(X6,X7,X10)
| ~ iext(X5,X9,X10)
| ~ iext(X3,X8,X9)
| ~ iext(X1,X7,X8)
| ~ iext(uri_owl_propertyChainAxiom,X6,X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f57,plain,
! [P1,P2] :
( ( ? [X,Y] :
( ( iext(P2,Y,X)
| iext(P1,X,Y) )
& ( ~ iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ( ( ! [X,Y] :
( ( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ( iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f58,plain,
( ! [P1,P2] :
( ? [X,Y] :
( ( iext(P2,Y,X)
| iext(P1,X,Y) )
& ( ~ iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ! [X,Y] :
( iext(P2,Y,X)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f59,plain,
( ! [P1,P2] :
( ( ( iext(P2,sK9_skl(P2,P1),sK8_skl(P2,P1))
| iext(P1,sK8_skl(P2,P1),sK9_skl(P2,P1)) )
& ( ~ iext(P2,sK9_skl(P2,P1),sK8_skl(P2,P1))
| ~ iext(P1,sK8_skl(P2,P1),sK9_skl(P2,P1)) ) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ! [X,Y] :
( iext(P2,Y,X)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(X,sK8_skl(P2,P1)),skolemize(Y,sK9_skl(P2,P1))],[f58]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ~ iext(X1,X3,X2)
| iext(X0,X2,X3)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f66,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f67,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)
& ? [BNODE_i] :
( iext(uri_owl_inverseOf,BNODE_i,uri_rdf_type)
& ? [BNODE_l3] :
( iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l3,BNODE_i)
& ? [BNODE_l2] :
( iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_first,BNODE_l2,uri_ex_sameCliqueAs)
& ? [BNODE_l1] :
( iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,BNODE_l1)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& ? [BNODE_r] :
( iext(uri_owl_someValuesFrom,BNODE_r,uri_ex_Clique)
& iext(uri_owl_onProperty,BNODE_r,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,BNODE_r)
& 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(miniscoping,[status(thm)],[f10]) ).
fof(f68,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,sK10_skl,uri_rdf_type)
& iext(uri_rdf_rest,sK11_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK11_skl,sK10_skl)
& iext(uri_rdf_rest,sK12_skl,sK11_skl)
& iext(uri_rdf_first,sK12_skl,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,sK13_skl,sK12_skl)
& iext(uri_rdf_first,sK13_skl,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK13_skl)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,sK14_skl,uri_ex_Clique)
& iext(uri_owl_onProperty,sK14_skl,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,sK14_skl,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,sK14_skl)
& 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,[sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(BNODE_i,sK10_skl),skolemize(BNODE_l3,sK11_skl),skolemize(BNODE_l2,sK12_skl),skolemize(BNODE_l1,sK13_skl),skolemize(BNODE_r,sK14_skl)],[f67]) ).
fof(f70,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f72,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK14_skl),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f74,plain,
iext(uri_owl_onProperty,sK14_skl,uri_ex_sameCliqueAs),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f75,plain,
iext(uri_owl_someValuesFrom,sK14_skl,uri_ex_Clique),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f77,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK13_skl),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f78,plain,
iext(uri_rdf_first,sK13_skl,uri_rdf_type),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f79,plain,
iext(uri_rdf_rest,sK13_skl,sK12_skl),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f80,plain,
iext(uri_rdf_first,sK12_skl,uri_ex_sameCliqueAs),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f81,plain,
iext(uri_rdf_rest,sK12_skl,sK11_skl),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f82,plain,
iext(uri_rdf_first,sK11_skl,sK10_skl),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f83,plain,
iext(uri_rdf_rest,sK11_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f84,plain,
iext(uri_owl_inverseOf,sK10_skl,uri_rdf_type),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f85,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f86,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f87,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f90,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| ~ iext(uri_ex_sameCliqueAs,X0,X1) ),
inference(resolution,[status(thm)],[f70,f37]) ).
fof(f91,plain,
! [X0] :
( icext(sK14_skl,X0)
| ~ icext(uri_ex_Clique,X0) ),
inference(resolution,[status(thm)],[f72,f28]) ).
fof(f93,plain,
! [X0,X1] :
( iext(uri_ex_sameCliqueAs,X1,sK0_skl(X1,X0,uri_ex_sameCliqueAs,sK14_skl))
| ~ icext(sK14_skl,X1)
| ~ iext(uri_owl_someValuesFrom,sK14_skl,X0) ),
inference(resolution,[status(thm)],[f74,f19]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( iext(X5,X6,X9)
| ~ iext(X4,X8,X9)
| ~ iext(X3,X7,X8)
| ~ iext(X1,X6,X7)
| ~ iext(uri_owl_propertyChainAxiom,X5,X0)
| ~ iext(uri_rdf_first,sK11_skl,X4)
| ~ iext(uri_rdf_rest,X2,sK11_skl)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f83,f52]) ).
fof(f95,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X1,X0)
| iext(sK10_skl,X0,X1) ),
inference(resolution,[status(thm)],[f84,f63]) ).
fof(f97,plain,
! [X0] :
( iext(uri_ex_sameCliqueAs,X0,sK0_skl(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl))
| ~ icext(sK14_skl,X0) ),
inference(resolution,[status(thm)],[f93,f75]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( iext(X4,X5,X8)
| ~ iext(X3,X7,X8)
| ~ iext(X2,X6,X7)
| ~ iext(X1,X5,X6)
| ~ iext(uri_owl_propertyChainAxiom,X4,X0)
| ~ iext(uri_rdf_first,sK11_skl,X3)
| ~ iext(uri_rdf_first,sK12_skl,X2)
| ~ iext(uri_rdf_rest,X0,sK12_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f94,f81]) ).
fof(f99,plain,
! [X0] :
( iext(uri_owl_sameAs,X0,sK0_skl(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl))
| ~ icext(sK14_skl,X0) ),
inference(resolution,[status(thm)],[f97,f90]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( iext(X3,X4,X7)
| ~ iext(X2,X6,X7)
| ~ iext(X1,X5,X6)
| ~ iext(X0,X4,X5)
| ~ iext(uri_owl_propertyChainAxiom,X3,sK13_skl)
| ~ iext(uri_rdf_first,sK11_skl,X2)
| ~ iext(uri_rdf_first,sK12_skl,X1)
| ~ iext(uri_rdf_first,sK13_skl,X0) ),
inference(resolution,[status(thm)],[f98,f79]) ).
fof(f102,plain,
! [X0] :
( X0 = sK0_skl(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl)
| ~ icext(sK14_skl,X0) ),
inference(resolution,[status(thm)],[f99,f42]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( iext(X2,X3,X6)
| ~ iext(X1,X5,X6)
| ~ iext(X0,X4,X5)
| ~ iext(uri_rdf_type,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X2,sK13_skl)
| ~ iext(uri_rdf_first,sK11_skl,X1)
| ~ iext(uri_rdf_first,sK12_skl,X0) ),
inference(resolution,[status(thm)],[f100,f78]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( iext(X1,X2,X5)
| ~ iext(X0,X4,X5)
| ~ iext(uri_ex_sameCliqueAs,X3,X4)
| ~ iext(uri_rdf_type,X2,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,sK13_skl)
| ~ iext(uri_rdf_first,sK11_skl,X0) ),
inference(resolution,[status(thm)],[f103,f80]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4] :
( iext(X0,X1,X4)
| ~ iext(sK10_skl,X3,X4)
| ~ iext(uri_ex_sameCliqueAs,X2,X3)
| ~ iext(uri_rdf_type,X1,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,sK13_skl) ),
inference(resolution,[status(thm)],[f108,f82]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( iext(uri_foaf_knows,X0,X3)
| ~ iext(sK10_skl,X2,X3)
| ~ iext(uri_ex_sameCliqueAs,X1,X2)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(resolution,[status(thm)],[f112,f77]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ icext(sK14_skl,X1)
| iext(uri_foaf_knows,X0,X2)
| ~ iext(sK10_skl,sK0_skl(X1,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl),X2)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(resolution,[status(thm)],[f114,f97]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_type,X2,sK0_skl(X1,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl))
| ~ icext(sK14_skl,X1)
| iext(uri_foaf_knows,X0,X2)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(resolution,[status(thm)],[f115,f95]) ).
fof(f117,plain,
! [X0] :
( ~ iext(uri_rdf_type,uri_ex_bob,sK0_skl(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl))
| ~ icext(sK14_skl,X0)
| ~ iext(uri_rdf_type,uri_ex_alice,X0) ),
inference(resolution,[status(thm)],[f116,f66]) ).
fof(f132,plain,
! [X0] :
( X0 = sK0_skl(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl)
| ~ icext(uri_ex_Clique,X0) ),
inference(resolution,[status(thm)],[f91,f102]) ).
fof(f135,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_Clique)
| X0 = sK0_skl(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl) ),
inference(resolution,[status(thm)],[f132,f13]) ).
fof(f136,plain,
uri_ex_JoesGang = sK0_skl(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl),
inference(resolution,[status(thm)],[f135,f85]) ).
fof(f141,plain,
( ~ iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
| ~ icext(sK14_skl,uri_ex_JoesGang)
| ~ iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) ),
inference(paramodulation,[status(thm)],[f136,f117]) ).
fof(f148,plain,
( ~ iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)
| ~ icext(sK14_skl,uri_ex_JoesGang) ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f86]) ).
fof(f150,plain,
~ icext(sK14_skl,uri_ex_JoesGang),
inference(forward_subsumption_resolution,[status(thm)],[f148,f87]) ).
fof(f151,plain,
~ icext(uri_ex_Clique,uri_ex_JoesGang),
inference(resolution,[status(thm)],[f150,f91]) ).
fof(f172,plain,
~ iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(resolution,[status(thm)],[f151,f13]) ).
fof(f173,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f172,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB013+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n014.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 07:39:05 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.22/0.63 % Refutation found
% 0.22/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.67 % Elapsed time: 0.196489 seconds
% 0.22/0.67 % CPU time: 1.205254 seconds
% 0.22/0.67 % Total memory used: 93.775 MB
% 0.22/0.67 % Net memory used: 92.644 MB
%------------------------------------------------------------------------------