%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB028+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 : n003.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 02:37:11 PM UTC 2026
% Result : Theorem 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 82 ( 17 unt; 0 def)
% Number of atoms : 370 ( 23 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 443 ( 155 ~; 171 |; 99 &)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 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 : 205 ( 180 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( iext(uri_owl_inverseOf,X,Y)
=> ( ip(Y)
& ip(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( iext(uri_owl_equivalentClass,X,Y)
=> ( ic(Y)
& ic(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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') ).
fof(f5,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') ).
fof(f6,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(f7,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') ).
fof(f8,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(f9,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(f10,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,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') ).
fof(f13,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
! [X,Y] :
( ( ip(Y)
& ip(X) )
| ~ iext(uri_owl_inverseOf,X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f15,plain,
! [X0,X1] :
( ip(X0)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f17,plain,
! [X,Y] :
( ( ic(Y)
& ic(X) )
| ~ iext(uri_owl_equivalentClass,X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] :
( ic(X0)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f20,plain,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) )
& ip(P) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f21,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)],[f20]) ).
fof(f22,plain,
( ! [P] :
( ? [Y1,Y2] :
( Y1 != Y2
& ? [X] :
( iext(P,X,Y2)
& iext(P,X,Y1) ) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ! [P] :
( ( ! [Y1,Y2] :
( Y1 = Y2
| ! [X] :
( ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) ) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f23,plain,
( ! [P] :
( ( sK0_skl(P) != sK1_skl(P)
& iext(P,sK2_skl(P),sK1_skl(P))
& iext(P,sK2_skl(P),sK0_skl(P)) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ! [P] :
( ( ! [Y1,Y2] :
( Y1 = Y2
| ! [X] :
( ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) ) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y1,sK0_skl(P)),skolemize(Y2,sK1_skl(P)),skolemize(X,sK2_skl(P))],[f22]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ icext(uri_owl_FunctionalProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f29,plain,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ! [X1,X2,Y] :
( X1 = X2
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) )
& ip(P) ) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f30,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)],[f29]) ).
fof(f31,plain,
( ! [P] :
( ? [X1,X2] :
( X1 != X2
& ? [Y] :
( iext(P,X2,Y)
& iext(P,X1,Y) ) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ! [P] :
( ( ! [X1,X2] :
( X1 = X2
| ! [Y] :
( ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f32,plain,
( ! [P] :
( ( sK3_skl(P) != sK4_skl(P)
& iext(P,sK4_skl(P),sK5_skl(P))
& iext(P,sK3_skl(P),sK5_skl(P)) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ! [P] :
( ( ! [X1,X2] :
( X1 = X2
| ! [Y] :
( ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(X1,sK3_skl(P)),skolemize(X2,sK4_skl(P)),skolemize(Y,sK5_skl(P))],[f31]) ).
fof(f35,plain,
! [X0] :
( iext(X0,sK3_skl(X0),sK5_skl(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f36,plain,
! [X0] :
( iext(X0,sK4_skl(X0),sK5_skl(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f37,plain,
! [X0] :
( sK3_skl(X0) != sK4_skl(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f38,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)],[f6]) ).
fof(f39,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)],[f38]) ).
fof(f40,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)],[f39]) ).
fof(f41,plain,
( ! [C1,C2] :
( ( ~ icext(C2,sK6_skl(C2,C1))
& icext(C1,sK6_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,[sK6_skl]),skolemize(X,sK6_skl(C2,C1))],[f40]) ).
fof(f45,plain,
! [X0,X1] :
( icext(X0,sK6_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f46,plain,
! [X0,X1] :
( ~ icext(X1,sK6_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f47,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)],[f7]) ).
fof(f48,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) )
& ! [C1,C2] :
( ( ! [X] :
( ~ icext(C2,X)
| icext(C1,X) )
& ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f49,plain,
( ! [C1,C2] :
( ( ( icext(C2,sK7_skl(C2,C1))
| icext(C1,sK7_skl(C2,C1)) )
& ( ~ icext(C2,sK7_skl(C2,C1))
| ~ icext(C1,sK7_skl(C2,C1)) ) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( ~ icext(C2,X)
| icext(C1,X) )
& ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X,sK7_skl(C2,C1))],[f48]) ).
fof(f52,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f56,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)],[f8]) ).
fof(f57,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)],[f56]) ).
fof(f58,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)],[f57]) ).
fof(f59,plain,
! [Z,P,C] :
( ( ! [X] :
( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ! [X] :
( ( icext(C,sK8_skl(X,C,P,Z))
& iext(P,X,sK8_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,[sK8_skl]),skolemize(Y,sK8_skl(X,C,P,Z))],[f58]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( iext(X2,X3,sK8_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)],[f59]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( icext(X1,sK8_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)],[f59]) ).
fof(f63,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)],[f9]) ).
fof(f64,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)],[f63]) ).
fof(f65,plain,
( ! [P1,P2] :
( ( ( iext(P2,sK10_skl(P2,P1),sK9_skl(P2,P1))
| iext(P1,sK9_skl(P2,P1),sK10_skl(P2,P1)) )
& ( ~ iext(P2,sK10_skl(P2,P1),sK9_skl(P2,P1))
| ~ iext(P1,sK9_skl(P2,P1),sK10_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,[sK9_skl,sK10_skl]),skolemize(X,sK9_skl(P2,P1)),skolemize(Y,sK10_skl(P2,P1))],[f64]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( iext(X1,X3,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f72,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f73,plain,
( iext(uri_owl_someValuesFrom,sK11_skl,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,sK11_skl,uri_owl_inverseOf)
& iext(uri_rdf_type,sK11_skl,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(BNODE_z,sK11_skl)],[f12]) ).
fof(f74,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11_skl),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f76,plain,
iext(uri_owl_onProperty,sK11_skl,uri_owl_inverseOf),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f77,plain,
iext(uri_owl_someValuesFrom,sK11_skl,uri_owl_FunctionalProperty),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f86,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(resolution,[status(thm)],[f18,f74]) ).
fof(f88,plain,
! [X0] :
( icext(sK11_skl,X0)
| ~ icext(uri_ex_InversesOfFunctionalProperties,X0) ),
inference(resolution,[status(thm)],[f52,f74]) ).
fof(f99,plain,
! [X0] :
( icext(uri_ex_InversesOfFunctionalProperties,sK6_skl(X0,uri_ex_InversesOfFunctionalProperties))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X0) ),
inference(resolution,[status(thm)],[f45,f86]) ).
fof(f139,plain,
( icext(uri_ex_InversesOfFunctionalProperties,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[f99,f13]) ).
fof(f140,plain,
icext(uri_ex_InversesOfFunctionalProperties,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(forward_subsumption_resolution,[status(thm)],[f139,f72]) ).
fof(f143,plain,
icext(sK11_skl,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(resolution,[status(thm)],[f140,f88]) ).
fof(f206,plain,
! [X0,X1] :
( iext(X0,X1,sK8_skl(X1,uri_owl_FunctionalProperty,X0,sK11_skl))
| ~ icext(sK11_skl,X1)
| ~ iext(uri_owl_onProperty,sK11_skl,X0) ),
inference(resolution,[status(thm)],[f60,f77]) ).
fof(f311,plain,
! [X0,X1] :
( icext(uri_owl_FunctionalProperty,sK8_skl(X1,uri_owl_FunctionalProperty,X0,sK11_skl))
| ~ icext(sK11_skl,X1)
| ~ iext(uri_owl_onProperty,sK11_skl,X0) ),
inference(resolution,[status(thm)],[f61,f77]) ).
fof(f380,plain,
! [X0] :
( iext(uri_owl_inverseOf,X0,sK8_skl(X0,uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl))
| ~ icext(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f206,f76]) ).
fof(f383,plain,
iext(uri_owl_inverseOf,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl)),
inference(resolution,[status(thm)],[f380,f143]) ).
fof(f385,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,sK8_skl(X0,uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl))
| ~ icext(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f311,f76]) ).
fof(f388,plain,
icext(uri_owl_FunctionalProperty,sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl)),
inference(resolution,[status(thm)],[f385,f143]) ).
fof(f409,plain,
! [X0,X1] :
( iext(sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl),X1,X0)
| ~ iext(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),X0,X1) ),
inference(resolution,[status(thm)],[f383,f68]) ).
fof(f411,plain,
ip(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(resolution,[status(thm)],[f383,f15]) ).
fof(f414,plain,
( iext(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)))
| icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(resolution,[status(thm)],[f411,f36]) ).
fof(f415,plain,
( iext(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)))
| icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(resolution,[status(thm)],[f411,f35]) ).
fof(f418,plain,
( sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) != sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))
| icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(resolution,[status(thm)],[f411,f37]) ).
fof(f581,plain,
( iext(sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)))
| icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(resolution,[status(thm)],[f414,f409]) ).
fof(f584,plain,
( iext(sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)))
| icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(resolution,[status(thm)],[f415,f409]) ).
fof(f1096,plain,
! [X0] :
( sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) = X0
| ~ iext(sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),X0)
| ~ icext(uri_owl_FunctionalProperty,sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl))
| icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(resolution,[status(thm)],[f581,f25]) ).
fof(f1098,plain,
! [X0] :
( sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) = X0
| ~ iext(sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),X0)
| icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1096,f388]) ).
fof(f1135,plain,
( icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))
| sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) = sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))
| icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(resolution,[status(thm)],[f1098,f584]) ).
fof(f1137,plain,
( sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) = sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))
| icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(duplicate_literals_removal,[status(thm)],[f1135]) ).
fof(f1138,plain,
icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(forward_subsumption_resolution,[status(thm)],[f1137,f418]) ).
fof(f1144,plain,
( ~ ic(uri_owl_InverseFunctionalProperty)
| ~ ic(uri_ex_InversesOfFunctionalProperties)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolution,[status(thm)],[f1138,f46]) ).
fof(f1145,plain,
( ~ ic(uri_owl_InverseFunctionalProperty)
| ~ ic(uri_ex_InversesOfFunctionalProperties) ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f72]) ).
fof(f1147,plain,
~ ic(uri_owl_InverseFunctionalProperty),
inference(forward_subsumption_resolution,[status(thm)],[f1145,f86]) ).
fof(f1148,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f13,f1147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 07:43:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.44 % Refutation found
% 0.15/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.48 % Elapsed time: 0.095381 seconds
% 0.15/0.48 % CPU time: 0.435386 seconds
% 0.15/0.48 % Total memory used: 89.327 MB
% 0.15/0.48 % Net memory used: 88.681 MB
%------------------------------------------------------------------------------