%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB013+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:37:04 PM UTC 2026
% Result : Theorem 30.66s 4.38s
% Output : CNFRefutation 30.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 78 ( 26 unt; 0 def)
% Number of atoms : 410 ( 7 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 522 ( 190 ~; 186 |; 131 &)
% ( 8 <=>; 7 =>; 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 : 33 ( 33 usr; 26 con; 0-5 aty)
% Number of variables : 261 ( 235 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [C,D] :
( iext(uri_rdfs_subClassOf,C,D)
=> ( ! [X] :
( icext(C,X)
=> icext(D,X) )
& ic(D)
& ic(C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [P,Q] :
( iext(uri_rdfs_subPropertyOf,P,Q)
=> ( ! [X,Y] :
( iext(P,X,Y)
=> iext(Q,X,Y) )
& ip(Q)
& ip(P) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f340,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(f354,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f390,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(f391,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(f559,conjecture,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,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(f592,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)],[f25]) ).
fof(f593,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)],[f592]) ).
fof(f594,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f595,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f654,plain,
! [C,D] :
( ( ! [X] :
( icext(D,X)
| ~ icext(C,X) )
& ic(D)
& ic(C) )
| ~ iext(uri_rdfs_subClassOf,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f657,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f665,plain,
! [P,Q] :
( ( ! [X,Y] :
( iext(Q,X,Y)
| ~ iext(P,X,Y) )
& ip(Q)
& ip(P) )
| ~ iext(uri_rdfs_subPropertyOf,P,Q) ),
inference(pre_NNF_transformation,[status(thm)],[f73]) ).
fof(f668,plain,
! [X0,X1,X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f1706,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)],[f340]) ).
fof(f1707,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)],[f1706]) ).
fof(f1708,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)],[f1707]) ).
fof(f1709,plain,
! [Z,P,C] :
( ( ! [X] :
( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ! [X] :
( ( icext(C,sK110_skl(X,C,P,Z))
& iext(P,X,sK110_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,[sK110_skl]),skolemize(Y,sK110_skl(X,C,P,Z))],[f1708]) ).
fof(f1710,plain,
! [X0,X1,X2,X3] :
( iext(X2,X3,sK110_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)],[f1709]) ).
fof(f1832,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f354]) ).
fof(f1833,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)],[f1832]) ).
fof(f1834,plain,
! [X0,X1] :
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1833]) ).
fof(f1986,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)],[f390]) ).
fof(f1987,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)],[f1986]) ).
fof(f1988,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)],[f1987]) ).
fof(f1989,plain,
! [S1,P1,P2,P3] :
( ( ! [P] :
( ( ~ iext(P,sK162_skl(P,P3,P2,P1,S1),sK163_skl(P,P3,P2,P1,S1))
& iext(P3,sK164_skl(P,P3,P2,P1,S1),sK163_skl(P,P3,P2,P1,S1))
& iext(P2,sK165_skl(P,P3,P2,P1,S1),sK164_skl(P,P3,P2,P1,S1))
& iext(P1,sK162_skl(P,P3,P2,P1,S1),sK165_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,[sK162_skl,sK163_skl,sK164_skl,sK165_skl]),skolemize(Y0,sK162_skl(P,P3,P2,P1,S1)),skolemize(Y3,sK163_skl(P,P3,P2,P1,S1)),skolemize(Y2,sK164_skl(P,P3,P2,P1,S1)),skolemize(Y1,sK165_skl(P,P3,P2,P1,S1))],[f1988]) ).
fof(f1994,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)],[f1989]) ).
fof(f1999,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)],[f391]) ).
fof(f2000,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)],[f1999]) ).
fof(f2001,plain,
( ! [P1,P2] :
( ( ( iext(P2,sK167_skl(P2,P1),sK166_skl(P2,P1))
| iext(P1,sK166_skl(P2,P1),sK167_skl(P2,P1)) )
& ( ~ iext(P2,sK167_skl(P2,P1),sK166_skl(P2,P1))
| ~ iext(P1,sK166_skl(P2,P1),sK167_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,[sK166_skl,sK167_skl]),skolemize(X,sK166_skl(P2,P1)),skolemize(Y,sK167_skl(P2,P1))],[f2000]) ).
fof(f2005,plain,
! [X0,X1,X2,X3] :
( ~ iext(X1,X3,X2)
| iext(X0,X2,X3)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2001]) ).
fof(f2405,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2406,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)],[f561]) ).
fof(f2407,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,sK199_skl,uri_rdf_type)
& iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK200_skl,sK199_skl)
& iext(uri_rdf_rest,sK201_skl,sK200_skl)
& iext(uri_rdf_first,sK201_skl,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,sK202_skl,sK201_skl)
& iext(uri_rdf_first,sK202_skl,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK202_skl)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,sK203_skl,uri_ex_Clique)
& iext(uri_owl_onProperty,sK203_skl,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,sK203_skl,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,sK203_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,[sK199_skl,sK200_skl,sK201_skl,sK202_skl,sK203_skl]),skolemize(BNODE_i,sK199_skl),skolemize(BNODE_l3,sK200_skl),skolemize(BNODE_l2,sK201_skl),skolemize(BNODE_l1,sK202_skl),skolemize(BNODE_r,sK203_skl)],[f2406]) ).
fof(f2409,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2411,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK203_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2413,plain,
iext(uri_owl_onProperty,sK203_skl,uri_ex_sameCliqueAs),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2414,plain,
iext(uri_owl_someValuesFrom,sK203_skl,uri_ex_Clique),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2416,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK202_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2417,plain,
iext(uri_rdf_first,sK202_skl,uri_rdf_type),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2418,plain,
iext(uri_rdf_rest,sK202_skl,sK201_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2419,plain,
iext(uri_rdf_first,sK201_skl,uri_ex_sameCliqueAs),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2420,plain,
iext(uri_rdf_rest,sK201_skl,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2421,plain,
iext(uri_rdf_first,sK200_skl,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2422,plain,
iext(uri_rdf_rest,sK200_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2423,plain,
iext(uri_owl_inverseOf,sK199_skl,uri_rdf_type),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2424,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2425,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2426,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2586,plain,
icext(uri_ex_JoesGang,uri_ex_bob),
inference(resolution,[status(thm)],[f594,f2426]) ).
fof(f2736,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| ~ iext(uri_ex_sameCliqueAs,X0,X1) ),
inference(resolution,[status(thm)],[f2409,f668]) ).
fof(f2738,plain,
! [X0] :
( icext(sK203_skl,X0)
| ~ icext(uri_ex_Clique,X0) ),
inference(resolution,[status(thm)],[f2411,f657]) ).
fof(f2742,plain,
! [X0,X1] :
( iext(X0,X1,sK110_skl(X1,uri_ex_Clique,X0,sK203_skl))
| ~ icext(sK203_skl,X1)
| ~ iext(uri_owl_onProperty,sK203_skl,X0) ),
inference(resolution,[status(thm)],[f2414,f1710]) ).
fof(f2746,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,sK200_skl,X4)
| ~ iext(uri_rdf_rest,X2,sK200_skl)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f2422,f1994]) ).
fof(f2781,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X1,X0)
| iext(sK199_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2423,f2005]) ).
fof(f2785,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(resolution,[status(thm)],[f2424,f594]) ).
fof(f3139,plain,
! [X0] :
( iext(uri_ex_sameCliqueAs,X0,sK110_skl(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sK203_skl))
| ~ icext(sK203_skl,X0) ),
inference(resolution,[status(thm)],[f2742,f2413]) ).
fof(f3167,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,sK200_skl,X3)
| ~ iext(uri_rdf_first,sK201_skl,X2)
| ~ iext(uri_rdf_rest,X0,sK201_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f2746,f2420]) ).
fof(f3565,plain,
! [X0] :
( ~ icext(uri_ex_Clique,X0)
| iext(uri_ex_sameCliqueAs,X0,sK110_skl(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sK203_skl)) ),
inference(resolution,[status(thm)],[f3139,f2738]) ).
fof(f3580,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,sK202_skl)
| ~ iext(uri_rdf_first,sK200_skl,X2)
| ~ iext(uri_rdf_first,sK201_skl,X1)
| ~ iext(uri_rdf_first,sK202_skl,X0) ),
inference(resolution,[status(thm)],[f3167,f2418]) ).
fof(f3895,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,sK110_skl(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sK203_skl)),
inference(resolution,[status(thm)],[f3565,f2785]) ).
fof(f3972,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( iext(uri_foaf_knows,X3,X6)
| ~ iext(X2,X5,X6)
| ~ iext(X1,X4,X5)
| ~ iext(X0,X3,X4)
| ~ iext(uri_rdf_first,sK200_skl,X2)
| ~ iext(uri_rdf_first,sK201_skl,X1)
| ~ iext(uri_rdf_first,sK202_skl,X0) ),
inference(resolution,[status(thm)],[f3580,f2416]) ).
fof(f3981,plain,
! [X0,X1,X2,X3,X4,X5] :
( iext(uri_foaf_knows,X2,X5)
| ~ iext(X1,X4,X5)
| ~ iext(X0,X3,X4)
| ~ iext(uri_rdf_type,X2,X3)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f3972,f2417]) ).
fof(f3982,plain,
! [X0,X1,X2,X3,X4] :
( iext(uri_foaf_knows,X1,X4)
| ~ iext(X0,X3,X4)
| ~ iext(uri_ex_sameCliqueAs,X2,X3)
| ~ iext(uri_rdf_type,X1,X2)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f3981,f2419]) ).
fof(f3983,plain,
! [X0,X1,X2,X3] :
( iext(uri_foaf_knows,X0,X3)
| ~ iext(sK199_skl,X2,X3)
| ~ iext(uri_ex_sameCliqueAs,X1,X2)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(resolution,[status(thm)],[f3982,f2421]) ).
fof(f3984,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_type,X3,X2)
| iext(uri_foaf_knows,X0,X3)
| ~ iext(uri_ex_sameCliqueAs,X1,X2)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(resolution,[status(thm)],[f3983,f2781]) ).
fof(f3987,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,uri_ex_bob,X1)
| ~ iext(uri_ex_sameCliqueAs,X0,X1)
| ~ iext(uri_rdf_type,uri_ex_alice,X0) ),
inference(resolution,[status(thm)],[f3984,f2405]) ).
fof(f4033,plain,
! [X0,X1] :
( ~ icext(X1,uri_ex_bob)
| ~ iext(uri_ex_sameCliqueAs,X0,X1)
| ~ iext(uri_rdf_type,uri_ex_alice,X0) ),
inference(resolution,[status(thm)],[f3987,f595]) ).
fof(f4049,plain,
! [X0] :
( ~ icext(X0,uri_ex_bob)
| ~ iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,X0) ),
inference(resolution,[status(thm)],[f4033,f2425]) ).
fof(f4236,plain,
~ icext(sK110_skl(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sK203_skl),uri_ex_bob),
inference(resolution,[status(thm)],[f3895,f4049]) ).
fof(f4240,plain,
iext(uri_owl_sameAs,uri_ex_JoesGang,sK110_skl(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sK203_skl)),
inference(resolution,[status(thm)],[f3895,f2736]) ).
fof(f4428,plain,
uri_ex_JoesGang = sK110_skl(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sK203_skl),
inference(resolution,[status(thm)],[f4240,f1834]) ).
fof(f4434,plain,
~ icext(uri_ex_JoesGang,uri_ex_bob),
inference(backward_demodulation,[status(thm)],[f4428,f4236]) ).
fof(f4435,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4434,f2586]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB013+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 07:38:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.42 % Drodi V4.1.1
% 30.66/4.38 % Refutation found
% 30.66/4.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 30.66/4.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 30.66/4.43 % Elapsed time: 4.052676 seconds
% 30.66/4.43 % CPU time: 31.526738 seconds
% 30.66/4.43 % Total memory used: 294.349 MB
% 30.66/4.43 % Net memory used: 281.265 MB
%------------------------------------------------------------------------------