%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB013+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 03:03:45 PM UTC 2026
% Result : Theorem 37.79s 5.24s
% Output : Proof 37.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 29 unt; 0 def)
% Number of atoms : 366 ( 7 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 450 ( 158 ~; 154 |; 125 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 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; 0-7 aty)
% Number of variables : 198 ( 0 sgn 92 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,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',owl_chain_003) ).
fof(f5_nnf,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)],[f5]) ).
fof(f5_sk,plain,
! [S1,P1,S2,P2,S3,P3,P,Y0,Y1,Y2,Y3] :
( ( ( ( ~ iext(P,sk4(P,S1,P1,S2,P2,S3,P3),sk7(P,S1,P1,S2,P2,S3,P3))
& iext(P3,sk6(P,S1,P1,S2,P2,S3,P3),sk7(P,S1,P1,S2,P2,S3,P3))
& iext(P2,sk5(P,S1,P1,S2,P2,S3,P3),sk6(P,S1,P1,S2,P2,S3,P3))
& iext(P1,sk4(P,S1,P1,S2,P2,S3,P3),sk5(P,S1,P1,S2,P2,S3,P3)) )
| ~ ip(P3)
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ( ( 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(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6,sk7])],[f5_nnf]) ).
cnf(c21,plain,
( iext(X0,X7,X10)
| ~ iext(X6,X9,X10)
| ~ iext(X4,X8,X9)
| ~ iext(X2,X7,X8)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f8,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',testcase_premise_fullish_013_Cliques) ).
fof(f8_nnf,plain,
? [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) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,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,sk11,uri_rdf_type)
& iext(uri_rdf_rest,sk14,uri_rdf_nil)
& iext(uri_rdf_first,sk14,sk11)
& iext(uri_rdf_rest,sk13,sk14)
& iext(uri_rdf_first,sk13,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,sk12,sk13)
& iext(uri_rdf_first,sk12,uri_rdf_type)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sk12)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_someValuesFrom,sk10,uri_ex_Clique)
& iext(uri_owl_onProperty,sk10,uri_ex_sameCliqueAs)
& iext(uri_rdf_type,sk10,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,sk10)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk10,sk11,sk12,sk13,sk14])],[f8_nnf]) ).
cnf(c44,plain,
iext(uri_rdf_first,sk12,uri_rdf_type),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p166,plain,
( iext(X4,X5,X8)
| ~ iext(X3,X7,X8)
| ~ iext(X1,X6,X7)
| ~ iext(uri_rdf_type,X5,X6)
| ~ iext(uri_owl_propertyChainAxiom,X4,sk12)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk12,X0) ),
inference(resolution,[status(thm)],[c21,c44]) ).
cnf(c45,plain,
iext(uri_rdf_rest,sk12,sk13),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p940,plain,
( iext(X3,X4,X7)
| ~ iext(X2,X6,X7)
| ~ iext(X0,X5,X6)
| ~ iext(uri_rdf_type,X4,X5)
| ~ iext(uri_owl_propertyChainAxiom,X3,sk12)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sk13,X1)
| ~ iext(uri_rdf_first,sk13,X0) ),
inference(resolution,[status(thm)],[p166,c45]) ).
cnf(c46,plain,
iext(uri_rdf_first,sk13,uri_ex_sameCliqueAs),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p3592,plain,
( iext(X2,X3,X6)
| ~ iext(X1,X5,X6)
| ~ iext(uri_ex_sameCliqueAs,X4,X5)
| ~ iext(uri_rdf_type,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X2,sk12)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk13,X0) ),
inference(resolution,[status(thm)],[p940,c46]) ).
cnf(c47,plain,
iext(uri_rdf_rest,sk13,sk14),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p4727,plain,
( 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,sk12)
| ~ iext(uri_rdf_rest,sk14,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk14,X0) ),
inference(resolution,[status(thm)],[p3592,c47]) ).
cnf(c48,plain,
iext(uri_rdf_first,sk14,sk11),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p4728,plain,
( iext(X0,X1,X4)
| ~ iext(sk11,X3,X4)
| ~ iext(uri_ex_sameCliqueAs,X2,X3)
| ~ iext(uri_rdf_type,X1,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,sk12)
| ~ iext(uri_rdf_rest,sk14,uri_rdf_nil) ),
inference(resolution,[status(thm)],[p4727,c48]) ).
cnf(c49,plain,
iext(uri_rdf_rest,sk14,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p4729,plain,
( iext(X0,X1,X4)
| ~ iext(sk11,X3,X4)
| ~ iext(uri_ex_sameCliqueAs,X2,X3)
| ~ iext(uri_rdf_type,X1,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,sk12) ),
inference(resolution,[status(thm)],[p4728,c49]) ).
cnf(c43,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sk12),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p4730,plain,
( iext(uri_foaf_knows,X0,X3)
| ~ iext(sk11,X2,X3)
| ~ iext(uri_ex_sameCliqueAs,X1,X2)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(resolution,[status(thm)],[p4729,c43]) ).
cnf(c52,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p4737,plain,
( iext(uri_foaf_knows,uri_ex_alice,X1)
| ~ iext(sk11,X0,X1)
| ~ iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,X0) ),
inference(resolution,[status(thm)],[p4730,c52]) ).
fof(f1,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',owl_restrict_somevaluesfrom) ).
fof(f1_nnf,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)],[f1]) ).
fof(f1_sk,plain,
! [Z,C,P,X,Y] :
( ( ( ~ icext(C,Y)
| ~ iext(P,X,Y)
| icext(Z,X) )
& ( ( icext(C,sk0(Z,P,C,X))
& iext(P,X,sk0(Z,P,C,X)) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f1_nnf]) ).
cnf(c2,plain,
( iext(X1,X3,sk0(X0,X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(c41,plain,
iext(uri_owl_someValuesFrom,sk10,uri_ex_Clique),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p57,plain,
( iext(X0,X1,sk0(sk10,X0,uri_ex_Clique,X1))
| ~ icext(sk10,X1)
| ~ iext(uri_owl_onProperty,sk10,X0) ),
inference(resolution,[status(thm)],[c2,c41]) ).
cnf(c40,plain,
iext(uri_owl_onProperty,sk10,uri_ex_sameCliqueAs),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p279,plain,
( iext(uri_ex_sameCliqueAs,X0,sk0(sk10,uri_ex_sameCliqueAs,uri_ex_Clique,X0))
| ~ icext(sk10,X0) ),
inference(resolution,[status(thm)],[p57,c40]) ).
fof(f2,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',owl_rdfsext_subclassof) ).
fof(f2_nnf,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)],[f2]) ).
fof(f2_sk,plain,
! [C1,C2,X] :
( ( ( ~ icext(C2,sk1(C1,C2))
& icext(C1,sk1(C1,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f2_nnf]) ).
cnf(c7,plain,
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(c38,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sk10),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p67,plain,
( icext(sk10,X0)
| ~ icext(uri_ex_Clique,X0) ),
inference(resolution,[status(thm)],[c7,c38]) ).
cnf(c51,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f0,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f0_nnf,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)],[f0]) ).
fof(f0_sk,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p62,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(resolution,[status(thm)],[c51,c0]) ).
cnf(p78,plain,
icext(sk10,uri_ex_JoesGang),
inference(resolution,[status(thm)],[p67,p62]) ).
cnf(p280,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,sk0(sk10,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
inference(resolution,[status(thm)],[p279,p78]) ).
fof(f3,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',owl_rdfsext_subpropertyof) ).
fof(f3_nnf,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)],[f3]) ).
fof(f3_sk,plain,
! [P1,P2,X,Y] :
( ( ( ~ iext(P2,sk2(P1,P2),sk3(P1,P2))
& iext(P1,sk2(P1,P2),sk3(P1,P2)) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_rdfs_subPropertyOf,P1,P2) )
& ( ( ( iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2,sk3])],[f3_nnf]) ).
cnf(c12,plain,
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(c36,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p81,plain,
( iext(uri_owl_sameAs,X0,X1)
| ~ iext(uri_ex_sameCliqueAs,X0,X1) ),
inference(resolution,[status(thm)],[c12,c36]) ).
cnf(p286,plain,
iext(uri_owl_sameAs,uri_ex_JoesGang,sk0(sk10,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
inference(resolution,[status(thm)],[p280,p81]) ).
fof(f4,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f4_nnf,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c15,plain,
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p287,plain,
uri_ex_JoesGang = sk0(sk10,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang),
inference(resolution,[status(thm)],[p286,c15]) ).
cnf(p288,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang),
inference(superposition,[status(thm)],[p287,p280]) ).
cnf(p4765,plain,
( iext(uri_foaf_knows,uri_ex_alice,X0)
| ~ iext(sk11,uri_ex_JoesGang,X0) ),
inference(resolution,[status(thm)],[p4737,p288]) ).
fof(f6,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',owl_inv) ).
fof(f6_nnf,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)],[f6]) ).
fof(f6_sk,plain,
! [P1,P2,X,Y] :
( ( ( iext(P2,sk9(P1,P2),sk8(P1,P2))
& ~ iext(P1,sk8(P1,P2),sk9(P1,P2)) )
| ( ~ iext(P2,sk9(P1,P2),sk8(P1,P2))
& iext(P1,sk8(P1,P2),sk9(P1,P2)) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ( ( ( ~ 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(skolemisation,[status(esa),new_symbols(skolem,[sk8,sk9])],[f6_nnf]) ).
cnf(c29,plain,
( ~ iext(X1,X3,X2)
| iext(X0,X2,X3)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(c50,plain,
iext(uri_owl_inverseOf,sk11,uri_rdf_type),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p170,plain,
( ~ iext(uri_rdf_type,X1,X0)
| iext(sk11,X0,X1) ),
inference(resolution,[status(thm)],[c29,c50]) ).
cnf(c53,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p176,plain,
iext(sk11,uri_ex_JoesGang,uri_ex_bob),
inference(resolution,[status(thm)],[p170,c53]) ).
cnf(p4767,plain,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(resolution,[status(thm)],[p4765,p176]) ).
fof(f7,conjecture,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques) ).
fof(f7_neg,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f7_nnf,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(nnf_transformation,[status(thm)],[f7_neg]) ).
fof(f7_sk,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c34,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p4769,plain,
$false,
inference(resolution,[status(thm)],[p4767,c34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB013+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Thu Sep 24 15:25:06 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 37.79/5.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.79/5.24 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------