%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB004+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 : n016.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 02:37:00 PM UTC 2026
% Result : Theorem 0.10s 0.42s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 34
% Syntax : Number of formulae : 140 ( 19 unt; 20 def)
% Number of atoms : 457 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 530 ( 213 ~; 235 |; 51 &)
% ( 29 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 21 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 120 ( 116 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ir(X),
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,
! [X] :
( idc(X)
=> ic(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
ic(uri_owl_Class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( icext(uri_owl_Class,X)
<=> ic(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
ic(uri_rdfs_Class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( icext(uri_rdfs_Class,X)
<=> ic(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
ic(uri_rdfs_Datatype),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( icext(uri_rdfs_Datatype,X)
<=> idc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
ic(uri_owl_Thing),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,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(f13,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(f14,conjecture,
( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
& iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
& iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
& iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
& iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
& iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
& iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
& iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
& iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
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,
! [X] :
( ic(X)
| ~ idc(X) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
! [X0] :
( ic(X0)
| ~ idc(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
ic(uri_owl_Class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
! [X] :
( ( ~ ic(X)
| icext(uri_owl_Class,X) )
& ( ic(X)
| ~ icext(uri_owl_Class,X) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f25,plain,
( ! [X] :
( ~ ic(X)
| icext(uri_owl_Class,X) )
& ! [X] :
( ic(X)
| ~ icext(uri_owl_Class,X) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f26,plain,
! [X0] :
( ic(X0)
| ~ icext(uri_owl_Class,X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [X0] :
( ~ ic(X0)
| icext(uri_owl_Class,X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f28,plain,
ic(uri_rdfs_Class),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f29,plain,
! [X] :
( ( ~ ic(X)
| icext(uri_rdfs_Class,X) )
& ( ic(X)
| ~ icext(uri_rdfs_Class,X) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f30,plain,
( ! [X] :
( ~ ic(X)
| icext(uri_rdfs_Class,X) )
& ! [X] :
( ic(X)
| ~ icext(uri_rdfs_Class,X) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f31,plain,
! [X0] :
( ic(X0)
| ~ icext(uri_rdfs_Class,X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0] :
( ~ ic(X0)
| icext(uri_rdfs_Class,X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f33,plain,
ic(uri_rdfs_Datatype),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f34,plain,
! [X] :
( ( ~ idc(X)
| icext(uri_rdfs_Datatype,X) )
& ( idc(X)
| ~ icext(uri_rdfs_Datatype,X) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
( ! [X] :
( ~ idc(X)
| icext(uri_rdfs_Datatype,X) )
& ! [X] :
( idc(X)
| ~ icext(uri_rdfs_Datatype,X) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0] :
( idc(X0)
| ~ icext(uri_rdfs_Datatype,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
ic(uri_owl_Thing),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
! [X] :
( ( ~ ir(X)
| icext(uri_owl_Thing,X) )
& ( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f40,plain,
( ! [X] :
( ~ ir(X)
| icext(uri_owl_Thing,X) )
& ! [X] :
( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f42,plain,
! [X0] :
( ~ ir(X0)
| icext(uri_owl_Thing,X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f43,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)],[f12]) ).
fof(f44,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)],[f43]) ).
fof(f45,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)],[f44]) ).
fof(f46,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))],[f45]) ).
fof(f49,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( icext(X0,sK0_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f51,plain,
! [X0,X1] :
( ~ icext(X1,sK0_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f52,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)],[f13]) ).
fof(f53,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)],[f52]) ).
fof(f54,plain,
( ! [C1,C2] :
( ( ( icext(C2,sK1_skl(C2,C1))
| icext(C1,sK1_skl(C2,C1)) )
& ( ~ icext(C2,sK1_skl(C2,C1))
| ~ icext(C1,sK1_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,[sK1_skl]),skolemize(X,sK1_skl(C2,C1))],[f53]) ).
fof(f59,plain,
! [X0,X1] :
( ~ icext(X1,sK1_skl(X1,X0))
| ~ icext(X0,sK1_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f60,plain,
! [X0,X1] :
( icext(X1,sK1_skl(X1,X0))
| icext(X0,sK1_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f61,plain,
( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
| ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
| ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
| ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f62,plain,
( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
| ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
| ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
| ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,definition,
( sQ0_spl
<=> iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f65,plain,
( sQ0_spl
| ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,definition,
( sQ1_spl
<=> iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f68,plain,
( sQ1_spl
| ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,definition,
( sQ2_spl
<=> iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( sQ2_spl
| ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,definition,
( sQ3_spl
<=> iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( sQ3_spl
| ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,definition,
( sQ4_spl
<=> iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( sQ4_spl
| ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f62,f63,f66,f69,f72,f75]) ).
fof(f79,plain,
! [X0] : icext(uri_owl_Thing,X0),
inference(forward_subsumption_resolution,[status(thm)],[f42,f16]) ).
fof(f80,plain,
! [X0] : iext(uri_rdf_type,X0,uri_owl_Thing),
inference(resolution,[status(thm)],[f79,f20]) ).
fof(f82,plain,
! [X0] :
( iext(uri_rdf_type,X0,uri_owl_Class)
| ~ ic(X0) ),
inference(resolution,[status(thm)],[f27,f20]) ).
fof(f86,plain,
! [X0] :
( idc(sK0_skl(X0,uri_rdfs_Datatype))
| ~ ic(X0)
| ~ ic(uri_rdfs_Datatype)
| iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,X0) ),
inference(resolution,[status(thm)],[f50,f36]) ).
fof(f88,definition,
! [X0] :
( sQ5_spl
<=> ( idc(sK0_skl(X0,uri_rdfs_Datatype))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f89,plain,
! [X0] :
( ~ sQ5_spl
| idc(sK0_skl(X0,uri_rdfs_Datatype))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,X0) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,definition,
( sQ6_spl
<=> ic(uri_rdfs_Datatype) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( sQ6_spl
| ~ ic(uri_rdfs_Datatype) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,plain,
( ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f86,f88,f91]) ).
fof(f95,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f93,f33]) ).
fof(f96,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f95]) ).
fof(f98,plain,
! [X0] :
( ~ sQ5_spl
| ic(sK0_skl(X0,uri_rdfs_Datatype))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,X0) ),
inference(resolution,[status(thm)],[f89,f22]) ).
fof(f99,plain,
( sQ4_spl
| ~ icext(uri_owl_Class,sK0_skl(uri_owl_Class,uri_rdfs_Datatype))
| ~ ic(uri_owl_Class)
| ~ ic(uri_rdfs_Datatype) ),
inference(resolution,[status(thm)],[f51,f77]) ).
fof(f100,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ icext(X1,sK0_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0) ),
inference(resolution,[status(thm)],[f51,f49]) ).
fof(f101,definition,
( sQ7_spl
<=> ic(uri_owl_Class) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( sQ7_spl
| ~ ic(uri_owl_Class) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,definition,
( sQ8_spl
<=> icext(uri_owl_Class,sK0_skl(uri_owl_Class,uri_rdfs_Datatype)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( sQ8_spl
| ~ icext(uri_owl_Class,sK0_skl(uri_owl_Class,uri_rdfs_Datatype)) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( sQ4_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f99,f91,f101,f104,f75]) ).
fof(f108,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f103,f23]) ).
fof(f109,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f108]) ).
fof(f110,plain,
( sQ8_spl
| ~ ic(sK0_skl(uri_owl_Class,uri_rdfs_Datatype)) ),
inference(resolution,[status(thm)],[f106,f27]) ).
fof(f111,plain,
! [X0] :
( ~ ic(sK1_skl(uri_rdfs_Class,X0))
| ~ icext(X0,sK1_skl(uri_rdfs_Class,X0))
| ~ ic(uri_rdfs_Class)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_rdfs_Class) ),
inference(resolution,[status(thm)],[f59,f32]) ).
fof(f112,plain,
! [X0] :
( ~ ic(sK1_skl(uri_owl_Class,X0))
| ~ icext(X0,sK1_skl(uri_owl_Class,X0))
| ~ ic(uri_owl_Class)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_owl_Class) ),
inference(resolution,[status(thm)],[f59,f27]) ).
fof(f113,plain,
! [X0] :
( ~ icext(X0,sK1_skl(uri_owl_Thing,X0))
| ~ ic(uri_owl_Thing)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_owl_Thing) ),
inference(resolution,[status(thm)],[f59,f79]) ).
fof(f114,definition,
! [X0] :
( sQ9_spl
<=> ( ~ ic(sK1_skl(uri_rdfs_Class,X0))
| ~ icext(X0,sK1_skl(uri_rdfs_Class,X0))
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_rdfs_Class) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f115,plain,
! [X0] :
( ~ sQ9_spl
| ~ ic(sK1_skl(uri_rdfs_Class,X0))
| ~ icext(X0,sK1_skl(uri_rdfs_Class,X0))
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_rdfs_Class) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ10_spl
<=> ic(uri_rdfs_Class) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( sQ10_spl
| ~ ic(uri_rdfs_Class) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( ~ sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f111,f114,f117]) ).
fof(f121,definition,
! [X0] :
( sQ11_spl
<=> ( ~ ic(sK1_skl(uri_owl_Class,X0))
| ~ icext(X0,sK1_skl(uri_owl_Class,X0))
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_owl_Class) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f112,f121,f101]) ).
fof(f125,definition,
! [X0] :
( sQ12_spl
<=> ( ~ icext(X0,sK1_skl(uri_owl_Thing,X0))
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_owl_Thing) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f128,definition,
( sQ13_spl
<=> ic(uri_owl_Thing) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( sQ13_spl
| ~ ic(uri_owl_Thing) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,plain,
( ~ sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f113,f125,f128]) ).
fof(f132,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f38]) ).
fof(f133,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f132]) ).
fof(f134,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f28]) ).
fof(f135,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f134]) ).
fof(f136,plain,
! [X0] :
( idc(sK1_skl(uri_rdfs_Datatype,X0))
| icext(X0,sK1_skl(uri_rdfs_Datatype,X0))
| ~ ic(uri_rdfs_Datatype)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_rdfs_Datatype) ),
inference(resolution,[status(thm)],[f60,f36]) ).
fof(f139,definition,
! [X0] :
( sQ14_spl
<=> ( idc(sK1_skl(uri_rdfs_Datatype,X0))
| icext(X0,sK1_skl(uri_rdfs_Datatype,X0))
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_rdfs_Datatype) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ6_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f136,f139,f91]) ).
fof(f144,plain,
( ~ sQ5_spl
| sQ8_spl
| ~ ic(uri_owl_Class)
| iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
inference(resolution,[status(thm)],[f110,f98]) ).
fof(f151,plain,
( ~ sQ5_spl
| sQ8_spl
| ~ sQ7_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f144,f75,f101,f104,f88]) ).
fof(f166,plain,
! [X0,X1] :
( idc(X1)
| ~ icext(X0,X1)
| ~ icext(uri_rdfs_Datatype,sK0_skl(uri_rdfs_Datatype,X0))
| ~ ic(uri_rdfs_Datatype)
| ~ ic(X0) ),
inference(resolution,[status(thm)],[f100,f36]) ).
fof(f173,definition,
! [X0,X1] :
( sQ18_spl
<=> ( idc(X1)
| ~ icext(X0,X1)
| ~ icext(uri_rdfs_Datatype,sK0_skl(uri_rdfs_Datatype,X0))
| ~ ic(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f174,plain,
! [X0,X1] :
( ~ sQ18_spl
| idc(X1)
| ~ icext(X0,X1)
| ~ icext(uri_rdfs_Datatype,sK0_skl(uri_rdfs_Datatype,X0))
| ~ ic(X0) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( ~ sQ6_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f166,f173,f91]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ icext(X2,sK0_skl(uri_rdfs_Datatype,X0))
| ~ icext(uri_rdfs_Datatype,sK0_skl(uri_rdfs_Datatype,X2))
| ~ ic(uri_rdfs_Datatype)
| ~ ic(X2)
| idc(X1)
| ~ icext(X0,X1)
| ~ ic(X0) ),
inference(resolution,[status(thm)],[f174,f100]) ).
fof(f187,definition,
! [X0,X1,X2] :
( sQ21_spl
<=> ( ~ icext(X2,sK0_skl(uri_rdfs_Datatype,X0))
| ~ icext(uri_rdfs_Datatype,sK0_skl(uri_rdfs_Datatype,X2))
| ~ ic(X2)
| idc(X1)
| ~ icext(X0,X1)
| ~ ic(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f179,f187,f91,f173]) ).
fof(f193,plain,
( sQ3_spl
| ~ sQ9_spl
| ~ ic(sK1_skl(uri_rdfs_Class,uri_owl_Class))
| ~ icext(uri_owl_Class,sK1_skl(uri_rdfs_Class,uri_owl_Class))
| ~ ic(uri_owl_Class) ),
inference(resolution,[status(thm)],[f115,f74]) ).
fof(f196,definition,
( sQ22_spl
<=> icext(uri_owl_Class,sK1_skl(uri_rdfs_Class,uri_owl_Class)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( sQ22_spl
| ~ icext(uri_owl_Class,sK1_skl(uri_rdfs_Class,uri_owl_Class)) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ23_spl
<=> ic(sK1_skl(uri_rdfs_Class,uri_owl_Class)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( sQ23_spl
| ~ ic(sK1_skl(uri_rdfs_Class,uri_owl_Class)) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ3_spl
| ~ sQ9_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f193,f101,f196,f199,f114,f72]) ).
fof(f204,plain,
( sQ2_spl
| ~ icext(uri_owl_Thing,sK0_skl(uri_owl_Thing,uri_owl_Class))
| ~ ic(uri_owl_Thing)
| ~ ic(uri_owl_Class) ),
inference(resolution,[status(thm)],[f71,f51]) ).
fof(f205,definition,
( sQ24_spl
<=> icext(uri_owl_Thing,sK0_skl(uri_owl_Thing,uri_owl_Class)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( sQ24_spl
| ~ icext(uri_owl_Thing,sK0_skl(uri_owl_Thing,uri_owl_Class)) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ2_spl
| ~ sQ24_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f204,f101,f128,f205,f69]) ).
fof(f209,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f207,f79]) ).
fof(f210,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ1_spl
| ~ ic(uri_owl_Class) ),
inference(resolution,[status(thm)],[f68,f82]) ).
fof(f212,plain,
( sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f211,f101,f66]) ).
fof(f213,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f80]) ).
fof(f214,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f213]) ).
fof(f226,plain,
( sQ22_spl
| ~ ic(sK1_skl(uri_rdfs_Class,uri_owl_Class)) ),
inference(resolution,[status(thm)],[f198,f27]) ).
fof(f236,plain,
( sQ23_spl
| ~ icext(uri_rdfs_Class,sK1_skl(uri_rdfs_Class,uri_owl_Class)) ),
inference(resolution,[status(thm)],[f201,f31]) ).
fof(f238,plain,
( sQ23_spl
| ~ icext(uri_owl_Class,sK1_skl(uri_rdfs_Class,uri_owl_Class)) ),
inference(resolution,[status(thm)],[f201,f26]) ).
fof(f364,plain,
( sQ23_spl
| icext(uri_owl_Class,sK1_skl(uri_rdfs_Class,uri_owl_Class))
| ~ ic(uri_rdfs_Class)
| ~ ic(uri_owl_Class)
| iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
inference(resolution,[status(thm)],[f236,f60]) ).
fof(f366,plain,
( sQ23_spl
| sQ22_spl
| ~ sQ10_spl
| ~ sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f364,f72,f101,f117,f196,f199]) ).
fof(f368,plain,
( sQ22_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f226,f199,f196]) ).
fof(f369,plain,
( sQ23_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f238,f196,f199]) ).
fof(f371,plain,
$false,
inference(sat_refutation,[status(thm)],[f78,f94,f96,f107,f109,f120,f124,f131,f133,f135,f142,f151,f176,f190,f202,f208,f210,f212,f214,f366,f368,f369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB004+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 07:41:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.46 % Elapsed time: 0.073780 seconds
% 0.10/0.46 % CPU time: 0.297708 seconds
% 0.10/0.46 % Total memory used: 18.208 MB
% 0.10/0.46 % Net memory used: 17.946 MB
%------------------------------------------------------------------------------