%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:37:06 PM UTC 2026
% Result : Theorem 0.14s 5.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 85 ( 13 unt; 7 def)
% Number of atoms : 300 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 348 ( 133 ~; 140 |; 56 &)
% ( 15 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 132 ( 124 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_domain,P,C) )
=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( iext(uri_owl_equivalentClass,X,Y)
=> ( ic(Y)
& ic(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
<=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
! [P] :
( ( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) )
& ( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
( ! [P] :
( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) )
& ! [P] :
( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0] :
( ip(X0)
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f17,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)],[f2]) ).
fof(f18,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)],[f17]) ).
fof(f20,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f21,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
! [C,X] :
( icext(C,X)
| ! [P] :
( ! [Y] : ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f26,plain,
ip(uri_owl_equivalentClass),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f27,plain,
! [X,Y] :
( ( ic(Y)
& ic(X) )
| ~ iext(uri_owl_equivalentClass,X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f28,plain,
! [X0,X1] :
( ic(X0)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f30,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)],[f8]) ).
fof(f31,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)],[f30]) ).
fof(f32,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)],[f31]) ).
fof(f33,plain,
( ! [C1,C2] :
( ( ~ icext(C2,sK0_skl(C2,C1))
& icext(C1,sK0_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,[sK0_skl]),skolemize(X,sK0_skl(C2,C1))],[f32]) ).
fof(f37,plain,
! [X0,X1] :
( icext(X0,sK0_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f38,plain,
! [X0,X1] :
( ~ icext(X1,sK0_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f39,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)],[f9]) ).
fof(f40,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)],[f39]) ).
fof(f41,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)],[f40]) ).
fof(f42,plain,
( ! [P1,P2] :
( ( ~ iext(P2,sK1_skl(P2,P1),sK2_skl(P2,P1))
& iext(P1,sK1_skl(P2,P1),sK2_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,[sK1_skl,sK2_skl]),skolemize(X,sK1_skl(P2,P1)),skolemize(Y,sK2_skl(P2,P1))],[f41]) ).
fof(f46,plain,
! [X0,X1] :
( iext(X0,sK1_skl(X1,X0),sK2_skl(X1,X0))
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f47,plain,
! [X0,X1] :
( ~ iext(X1,sK1_skl(X1,X0),sK2_skl(X1,X0))
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
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) )
& ( ( ! [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)],[f10]) ).
fof(f49,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)],[f48]) ).
fof(f50,plain,
( ! [C1,C2] :
( ( ( icext(C2,sK3_skl(C2,C1))
| icext(C1,sK3_skl(C2,C1)) )
& ( ~ icext(C2,sK3_skl(C2,C1))
| ~ icext(C1,sK3_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,[sK3_skl]),skolemize(X,sK3_skl(C2,C1))],[f49]) ).
fof(f53,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f57,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f62,plain,
! [X0,X1] :
( icext(uri_rdf_Property,X0)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(resolution,[status(thm)],[f24,f23]) ).
fof(f69,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,uri_rdf_Property)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(resolution,[status(thm)],[f62,f20]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_equivalentClass,X2,X1)
| ~ icext(X1,sK0_skl(X1,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(resolution,[status(thm)],[f38,f29]) ).
fof(f76,plain,
( iext(uri_owl_equivalentClass,sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ ip(uri_rdfs_subClassOf)
| ~ ip(uri_owl_equivalentClass) ),
inference(resolution,[status(thm)],[f46,f57]) ).
fof(f78,definition,
( sQ0_spl
<=> ip(uri_owl_equivalentClass) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f80,plain,
( sQ0_spl
| ~ ip(uri_owl_equivalentClass) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,definition,
( sQ1_spl
<=> ip(uri_rdfs_subClassOf) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( sQ1_spl
| ~ ip(uri_rdfs_subClassOf) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,definition,
( sQ2_spl
<=> iext(uri_owl_equivalentClass,sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ2_spl
| iext(uri_owl_equivalentClass,sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f76,f78,f81,f84]) ).
fof(f112,plain,
! [X0] :
( ~ sQ2_spl
| icext(sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),X0)
| ~ icext(sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),X0) ),
inference(resolution,[status(thm)],[f85,f53]) ).
fof(f118,definition,
( sQ9_spl
<=> ic(sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( sQ9_spl
| ~ ic(sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f122,plain,
( sQ1_spl
| ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property) ),
inference(resolution,[status(thm)],[f83,f15]) ).
fof(f139,plain,
! [X0] :
( sQ9_spl
| ~ iext(uri_owl_equivalentClass,X0,sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(resolution,[status(thm)],[f120,f29]) ).
fof(f160,plain,
! [X0] :
( sQ1_spl
| ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,X0) ),
inference(resolution,[status(thm)],[f122,f69]) ).
fof(f164,plain,
( sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f25,f160]) ).
fof(f165,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f80,f26]) ).
fof(f167,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f166]) ).
fof(f170,plain,
! [X0] :
( ~ sQ2_spl
| ~ icext(sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK0_skl(sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(resolution,[status(thm)],[f85,f74]) ).
fof(f261,plain,
( ~ sQ2_spl
| sQ9_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f85,f139]) ).
fof(f262,plain,
( ~ sQ2_spl
| sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f261]) ).
fof(f280,definition,
( sQ25_spl
<=> ic(sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( sQ25_spl
| ~ ic(sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f284,plain,
! [X0] :
( ~ sQ2_spl
| ~ icext(sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK0_skl(sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(resolution,[status(thm)],[f170,f112]) ).
fof(f372,plain,
( ~ sQ2_spl
| ~ ic(sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ ic(sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| iext(uri_rdfs_subClassOf,sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ ic(sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| iext(uri_rdfs_subClassOf,sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(resolution,[status(thm)],[f284,f37]) ).
fof(f375,definition,
( sQ33_spl
<=> iext(uri_rdfs_subClassOf,sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ33_spl
| iext(uri_rdfs_subClassOf,sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK2_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ25_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f372,f375,f280,f118,f84]) ).
fof(f390,plain,
( ~ sQ33_spl
| ~ ip(uri_rdfs_subClassOf)
| ~ ip(uri_owl_equivalentClass)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(resolution,[status(thm)],[f376,f47]) ).
fof(f391,definition,
( sQ34_spl
<=> iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ34_spl
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( ~ sQ33_spl
| ~ sQ1_spl
| ~ sQ0_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f390,f391,f78,f81,f375]) ).
fof(f395,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f392,f57]) ).
fof(f396,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f395]) ).
fof(f466,plain,
! [X0] :
( sQ25_spl
| ~ iext(uri_owl_equivalentClass,sK1_skl(uri_rdfs_subClassOf,uri_owl_equivalentClass),X0) ),
inference(resolution,[status(thm)],[f282,f28]) ).
fof(f481,plain,
( ~ sQ2_spl
| sQ25_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f85,f466]) ).
fof(f482,plain,
( ~ sQ2_spl
| sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f481]) ).
fof(f483,plain,
$false,
inference(sat_refutation,[status(thm)],[f87,f165,f167,f262,f378,f394,f396,f482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n011.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 07:39:16 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.14/5.43 % Refutation found
% 0.14/5.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.45 % Elapsed time: 0.063848 seconds
% 0.14/5.45 % CPU time: 0.292848 seconds
% 0.14/5.45 % Total memory used: 21.016 MB
% 0.14/5.45 % Net memory used: 20.511 MB
%------------------------------------------------------------------------------