%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB028+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 : n020.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 03:03:52 PM UTC 2026
% Result : Theorem 4.95s 1.11s
% Output : Proof 4.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 84 ( 14 unt; 0 def)
% Number of atoms : 337 ( 19 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 370 ( 117 ~; 160 |; 79 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-4 aty)
% Number of variables : 140 ( 2 sgn 80 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,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(f7_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)],[f7]) ).
fof(f7_sk,plain,
! [Z,C,P,X,Y] :
( ( ( ~ icext(C,Y)
| ~ iext(P,X,Y)
| icext(Z,X) )
& ( ( icext(C,sk8(Z,P,C,X))
& iext(P,X,sk8(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,[sk8])],[f7_nnf]) ).
cnf(c28,plain,
( iext(X1,X3,sk8(X0,X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f10,axiom,
? [BNODE_z] :
( iext(uri_owl_someValuesFrom,BNODE_z,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,BNODE_z,uri_owl_inverseOf)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,BNODE_z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_028_Inferred_Pr_h9f6ea8d4f4bb69df) ).
fof(f10_nnf,plain,
? [BNODE_z] :
( iext(uri_owl_someValuesFrom,BNODE_z,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,BNODE_z,uri_owl_inverseOf)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,BNODE_z) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( iext(uri_owl_someValuesFrom,sk11,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,sk11,uri_owl_inverseOf)
& iext(uri_rdf_type,sk11,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sk11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk11])],[f10_nnf]) ).
cnf(c43,plain,
iext(uri_owl_someValuesFrom,sk11,uri_owl_FunctionalProperty),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p100,plain,
( iext(X0,X1,sk8(sk11,X0,uri_owl_FunctionalProperty,X1))
| ~ icext(sk11,X1)
| ~ iext(uri_owl_onProperty,sk11,X0) ),
inference(resolution,[status(thm)],[c28,c43]) ).
cnf(c42,plain,
iext(uri_owl_onProperty,sk11,uri_owl_inverseOf),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p170,plain,
( iext(uri_owl_inverseOf,X0,sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,X0))
| ~ icext(sk11,X0) ),
inference(resolution,[status(thm)],[p100,c42]) ).
fof(f5,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(f5_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)],[f5]) ).
fof(f5_sk,plain,
! [C1,C2,X] :
( ( ( ~ icext(C2,sk6(C1,C2))
& icext(C1,sk6(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,[sk6])],[f5_nnf]) ).
cnf(c18,plain,
( icext(X0,sk6(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f2,axiom,
! [X,Y] :
( iext(uri_owl_equivalentClass,X,Y)
=> ( ic(Y)
& ic(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(f2_nnf,plain,
! [X,Y] :
( ( ic(Y)
& ic(X) )
| ~ iext(uri_owl_equivalentClass,X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ic(Y)
& ic(X) )
| ~ iext(uri_owl_equivalentClass,X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c3,plain,
( ic(X0)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(c40,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sk11),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p44,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(resolution,[status(thm)],[c3,c40]) ).
cnf(p51,plain,
( icext(uri_ex_InversesOfFunctionalProperties,sk6(uri_ex_InversesOfFunctionalProperties,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X0) ),
inference(resolution,[status(thm)],[c18,p44]) ).
fof(f0,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
fof(f0_nnf,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(p84,plain,
( icext(uri_ex_InversesOfFunctionalProperties,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p51,c0]) ).
fof(f6,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
<=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f6_nnf,plain,
! [C1,C2] :
( ( ? [X] :
( ( icext(C2,X)
& ~ icext(C1,X) )
| ( ~ icext(C2,X)
& icext(C1,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ( ( ! [X] :
( ( ~ icext(C2,X)
| icext(C1,X) )
& ( icext(C2,X)
| ~ icext(C1,X) ) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [C1,C2,X] :
( ( ( icext(C2,sk7(C1,C2))
& ~ icext(C1,sk7(C1,C2)) )
| ( ~ icext(C2,sk7(C1,C2))
& icext(C1,sk7(C1,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ( ( ( ~ icext(C2,X)
| icext(C1,X) )
& ( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7])],[f6_nnf]) ).
cnf(c22,plain,
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p46,plain,
( icext(sk11,X0)
| ~ icext(uri_ex_InversesOfFunctionalProperties,X0) ),
inference(resolution,[status(thm)],[c22,c40]) ).
cnf(p86,plain,
( icext(sk11,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p84,p46]) ).
cnf(p171,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| iext(uri_owl_inverseOf,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(resolution,[status(thm)],[p170,p86]) ).
fof(f1,axiom,
! [X,Y] :
( iext(uri_owl_inverseOf,X,Y)
=> ( ip(Y)
& ip(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
fof(f1_nnf,plain,
! [X,Y] :
( ( ip(Y)
& ip(X) )
| ~ iext(uri_owl_inverseOf,X,Y) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( ( ip(Y)
& ip(X) )
| ~ iext(uri_owl_inverseOf,X,Y) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ip(X0)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p208,plain,
( ip(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p171,c1]) ).
fof(f4,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ! [X1,X2,Y] :
( ( iext(P,X2,Y)
& iext(P,X1,Y) )
=> X1 = X2 )
& ip(P) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f4_nnf,plain,
! [P] :
( ( ? [X1,X2,Y] :
( X1 != X2
& iext(P,X2,Y)
& iext(P,X1,Y) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ( ( ! [X1,X2,Y] :
( X1 = X2
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [P,X1,Y,X2] :
( ( ( sk3(P) != sk4(P)
& iext(P,sk4(P),sk5(P))
& iext(P,sk3(P),sk5(P)) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ( ( ( X1 = X2
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3,sk4,sk5])],[f4_nnf]) ).
cnf(c12,plain,
( iext(X0,sk3(X0),sk5(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p215,plain,
( iext(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sk3(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk5(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p208,c12]) ).
fof(f8,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(f8_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)],[f8]) ).
fof(f8_sk,plain,
! [P1,P2,X,Y] :
( ( ( iext(P2,sk10(P1,P2),sk9(P1,P2))
& ~ iext(P1,sk9(P1,P2),sk10(P1,P2)) )
| ( ~ iext(P2,sk10(P1,P2),sk9(P1,P2))
& iext(P1,sk9(P1,P2),sk10(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,[sk9,sk10])],[f8_nnf]) ).
cnf(c33,plain,
( iext(X1,X3,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p209,plain,
( iext(sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X1,X0)
| ~ iext(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X0,X1)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p171,c33]) ).
cnf(p427,plain,
( iext(sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk5(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk3(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p215,p209]) ).
cnf(p535,plain,
( iext(sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk5(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk3(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(factoring,[status(thm)],[p427]) ).
cnf(c29,plain,
( icext(X2,sk8(X0,X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p104,plain,
( icext(uri_owl_FunctionalProperty,sk8(sk11,X0,uri_owl_FunctionalProperty,X1))
| ~ icext(sk11,X1)
| ~ iext(uri_owl_onProperty,sk11,X0) ),
inference(resolution,[status(thm)],[c29,c43]) ).
cnf(p152,plain,
( icext(uri_owl_FunctionalProperty,sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,X0))
| ~ icext(sk11,X0) ),
inference(resolution,[status(thm)],[p104,c42]) ).
cnf(p153,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| icext(uri_owl_FunctionalProperty,sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(resolution,[status(thm)],[p152,p86]) ).
fof(f3,axiom,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ! [X,Y1,Y2] :
( ( iext(P,X,Y2)
& iext(P,X,Y1) )
=> Y1 = Y2 )
& ip(P) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_functional) ).
fof(f3_nnf,plain,
! [P] :
( ( ? [X,Y1,Y2] :
( Y1 != Y2
& iext(P,X,Y2)
& iext(P,X,Y1) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ( ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [P,X,Y1,Y2] :
( ( ( sk1(P) != sk2(P)
& iext(P,sk0(P),sk2(P))
& iext(P,sk0(P),sk1(P)) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ( ( ( Y1 = Y2
| ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f3_nnf]) ).
cnf(c6,plain,
( X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ icext(uri_owl_FunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p157,plain,
( X1 = X2
| ~ iext(sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X0,X2)
| ~ iext(sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X0,X1)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p153,c6]) ).
cnf(p536,plain,
( sk3(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = X0
| ~ iext(sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk5(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X0)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p535,p157]) ).
cnf(p577,plain,
( sk3(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = X0
| ~ iext(sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk5(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X0)
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(factoring,[status(thm)],[p536]) ).
cnf(c13,plain,
( iext(X0,sk4(X0),sk5(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p216,plain,
( iext(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sk4(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk5(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p208,c13]) ).
cnf(p428,plain,
( iext(sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk5(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk4(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p216,p209]) ).
cnf(p537,plain,
( iext(sk8(sk11,uri_owl_inverseOf,uri_owl_FunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk5(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sk4(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(factoring,[status(thm)],[p428]) ).
cnf(p578,plain,
( icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| sk3(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = sk4(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p577,p537]) ).
cnf(p580,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| sk3(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = sk4(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(factoring,[status(thm)],[p578]) ).
cnf(p581,plain,
( sk3(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = sk4(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(factoring,[status(thm)],[p580]) ).
cnf(c14,plain,
( sk3(X0) != sk4(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p213,plain,
( sk3(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) != sk4(sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p208,c14]) ).
cnf(p584,plain,
( icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p581,p213]) ).
cnf(p586,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(factoring,[status(thm)],[p584]) ).
cnf(p587,plain,
( icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(factoring,[status(thm)],[p586]) ).
cnf(c19,plain,
( ~ icext(X1,sk6(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p63,plain,
( ~ icext(X0,sk6(uri_ex_InversesOfFunctionalProperties,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X0) ),
inference(resolution,[status(thm)],[c19,p44]) ).
cnf(p114,plain,
( ~ icext(uri_owl_InverseFunctionalProperty,sk6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p63,c0]) ).
cnf(p589,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[p587,p114]) ).
cnf(p590,plain,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(factoring,[status(thm)],[p589]) ).
fof(f9,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_028_Inferred_h46ae7d3f14b12ad3) ).
fof(f9_neg,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f9_nnf,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(nnf_transformation,[status(thm)],[f9_neg]) ).
fof(f9_sk,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c39,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p591,plain,
$false,
inference(resolution,[status(thm)],[p590,c39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 15:36:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.95/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.95/1.11 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------