%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB012+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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:37:04 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 22 unt; 3 def)
% Number of atoms : 323 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 392 ( 141 ~; 142 |; 94 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-4 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-5 aty)
% Number of variables : 176 ( 166 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_domain,P,C) )
=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_rdf_rest,S3,uri_rdf_nil)
& iext(uri_rdf_first,S3,C3)
& iext(uri_rdf_rest,S2,S3)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C3,X)
& icext(C2,X)
& icext(C1,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Z,P,A] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_hasValue,Z,A) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,axiom,
? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
& iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l3,BNODE_r)
& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,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)],[f1]) ).
fof(f9,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)],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [C,X] :
( icext(C,X)
| ! [P] :
( ! [Y] : ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C3,X)
& icext(C2,X)
& icext(C1,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f16,definition,
! [C1,C2,C3,X] :
( sP0_prd(X,C3,C2,C1)
<=> ( icext(C3,X)
& icext(C2,X)
& icext(C1,X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f17,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> sP0_prd(X,C3,C2,C1) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(formula_renaming,[status(thm)],[f15,f16]) ).
fof(f18,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( ( ? [X] :
( ( sP0_prd(X,C3,C2,C1)
| icext(Z,X) )
& ( ~ sP0_prd(X,C3,C2,C1)
| ~ icext(Z,X) ) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ( ! [X] :
( ( ~ sP0_prd(X,C3,C2,C1)
| icext(Z,X) )
& ( sP0_prd(X,C3,C2,C1)
| ~ icext(Z,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(NNF_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [S1,C1,C2,C3] :
( ( ! [Z] :
( ? [X] :
( ( sP0_prd(X,C3,C2,C1)
| icext(Z,X) )
& ( ~ sP0_prd(X,C3,C2,C1)
| ~ icext(Z,X) ) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ~ sP0_prd(X,C3,C2,C1)
| icext(Z,X) )
& ! [X] :
( sP0_prd(X,C3,C2,C1)
| ~ icext(Z,X) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ! [S3] :
( ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f20,plain,
! [S1,C1,C2,C3] :
( ( ! [Z] :
( ( ( sP0_prd(sK0_skl(Z,C3,C2,C1,S1),C3,C2,C1)
| icext(Z,sK0_skl(Z,C3,C2,C1,S1)) )
& ( ~ sP0_prd(sK0_skl(Z,C3,C2,C1,S1),C3,C2,C1)
| ~ icext(Z,sK0_skl(Z,C3,C2,C1,S1)) ) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ~ sP0_prd(X,C3,C2,C1)
| icext(Z,X) )
& ! [X] :
( sP0_prd(X,C3,C2,C1)
| ~ icext(Z,X) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ! [S3] :
( ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(Z,C3,C2,C1,S1))],[f19]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sP0_prd(X7,X5,X3,X1)
| ~ icext(X6,X7)
| ~ iext(uri_owl_intersectionOf,X6,X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f29,plain,
! [Z,P,A] :
( ! [X] :
( icext(Z,X)
<=> iext(P,X,A) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasValue,Z,A) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
! [Z,P,A] :
( ! [X] :
( ( ~ iext(P,X,A)
| icext(Z,X) )
& ( iext(P,X,A)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasValue,Z,A) ),
inference(NNF_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [Z,P,A] :
( ( ! [X] :
( ~ iext(P,X,A)
| icext(Z,X) )
& ! [X] :
( iext(P,X,A)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasValue,Z,A) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( iext(X2,X3,X1)
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_hasValue,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f35,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& ? [BNODE_r] :
( iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
& iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& ? [BNODE_l3] :
( iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l3,BNODE_r)
& ? [BNODE_l2] :
( iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
& ? [BNODE_l1] :
( iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f37,plain,
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,sK1_skl,uri_foaf_Person)
& iext(uri_owl_onProperty,sK1_skl,uri_rdfs_domain)
& iext(uri_rdf_type,sK1_skl,uri_owl_Restriction)
& iext(uri_rdf_rest,sK2_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK2_skl,sK1_skl)
& iext(uri_rdf_rest,sK3_skl,sK2_skl)
& iext(uri_rdf_first,sK3_skl,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK4_skl,sK3_skl)
& iext(uri_rdf_first,sK4_skl,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK4_skl)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(BNODE_r,sK1_skl),skolemize(BNODE_l3,sK2_skl),skolemize(BNODE_l2,sK3_skl),skolemize(BNODE_l1,sK4_skl)],[f36]) ).
fof(f39,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK4_skl),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f40,plain,
iext(uri_rdf_first,sK4_skl,uri_owl_DatatypeProperty),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f41,plain,
iext(uri_rdf_rest,sK4_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f42,plain,
iext(uri_rdf_first,sK3_skl,uri_owl_FunctionalProperty),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f43,plain,
iext(uri_rdf_rest,sK3_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f44,plain,
iext(uri_rdf_first,sK2_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f45,plain,
iext(uri_rdf_rest,sK2_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f47,plain,
iext(uri_owl_onProperty,sK1_skl,uri_rdfs_domain),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f48,plain,
iext(uri_owl_hasValue,sK1_skl,uri_foaf_Person),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f49,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f50,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f51,plain,
! [C1,C2,C3,X] :
( ( ~ icext(C3,X)
| ~ icext(C2,X)
| ~ icext(C1,X)
| sP0_prd(X,C3,C2,C1) )
& ( ( icext(C3,X)
& icext(C2,X)
& icext(C1,X) )
| ~ sP0_prd(X,C3,C2,C1) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f52,plain,
( ! [C1,C2,C3,X] :
( ~ icext(C3,X)
| ~ icext(C2,X)
| ~ icext(C1,X)
| sP0_prd(X,C3,C2,C1) )
& ! [C1,C2,C3,X] :
( ( icext(C3,X)
& icext(C2,X)
& icext(C1,X) )
| ~ sP0_prd(X,C3,C2,C1) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( icext(X2,X0)
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( icext(X1,X0)
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f57,definition,
( sQ0_spl
<=> iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( sQ0_spl
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,definition,
( sQ1_spl
<=> iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f62,plain,
( sQ1_spl
| ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f35,f57,f60]) ).
fof(f76,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(resolution,[status(thm)],[f49,f10]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP0_prd(X6,X4,X3,X1)
| ~ icext(X5,X6)
| ~ iext(uri_owl_intersectionOf,X5,X0)
| ~ iext(uri_rdf_first,sK2_skl,X4)
| ~ iext(uri_rdf_rest,X2,sK2_skl)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f25,f45]) ).
fof(f117,plain,
! [X0,X1] :
( iext(uri_rdfs_domain,X1,X0)
| ~ icext(sK1_skl,X1)
| ~ iext(uri_owl_hasValue,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f32,f47]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( sP0_prd(X5,X3,X2,X1)
| ~ icext(X4,X5)
| ~ iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_first,sK2_skl,X3)
| ~ iext(uri_rdf_first,sK3_skl,X2)
| ~ iext(uri_rdf_rest,X0,sK3_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f98,f43]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4] :
( sP0_prd(X4,X2,X1,X0)
| ~ icext(X3,X4)
| ~ iext(uri_owl_intersectionOf,X3,sK4_skl)
| ~ iext(uri_rdf_first,sK2_skl,X2)
| ~ iext(uri_rdf_first,sK3_skl,X1)
| ~ iext(uri_rdf_first,sK4_skl,X0) ),
inference(resolution,[status(thm)],[f179,f41]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( sP0_prd(X3,X1,X0,uri_owl_DatatypeProperty)
| ~ icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,sK4_skl)
| ~ iext(uri_rdf_first,sK2_skl,X1)
| ~ iext(uri_rdf_first,sK3_skl,X0) ),
inference(resolution,[status(thm)],[f181,f40]) ).
fof(f226,plain,
! [X0,X1,X2] :
( sP0_prd(X2,X0,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty)
| ~ icext(X1,X2)
| ~ iext(uri_owl_intersectionOf,X1,sK4_skl)
| ~ iext(uri_rdf_first,sK2_skl,X0) ),
inference(resolution,[status(thm)],[f223,f42]) ).
fof(f227,plain,
! [X0,X1] :
( sP0_prd(X1,sK1_skl,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty)
| ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,sK4_skl) ),
inference(resolution,[status(thm)],[f226,f44]) ).
fof(f229,plain,
! [X0] :
( sP0_prd(X0,sK1_skl,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty)
| ~ icext(uri_ex_PersonAttribute,X0) ),
inference(resolution,[status(thm)],[f227,f39]) ).
fof(f230,plain,
sP0_prd(uri_ex_name,sK1_skl,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty),
inference(resolution,[status(thm)],[f229,f76]) ).
fof(f231,plain,
icext(sK1_skl,uri_ex_name),
inference(resolution,[status(thm)],[f230,f55]) ).
fof(f232,plain,
icext(uri_owl_FunctionalProperty,uri_ex_name),
inference(resolution,[status(thm)],[f230,f54]) ).
fof(f234,plain,
! [X0] :
( iext(uri_rdfs_domain,uri_ex_name,X0)
| ~ iext(uri_owl_hasValue,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f231,f117]) ).
fof(f243,plain,
iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
inference(resolution,[status(thm)],[f232,f11]) ).
fof(f244,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f243,f59]) ).
fof(f245,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f244]) ).
fof(f254,plain,
iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
inference(resolution,[status(thm)],[f234,f48]) ).
fof(f256,plain,
! [X0,X1] :
( icext(uri_foaf_Person,X0)
| ~ iext(uri_ex_name,X0,X1) ),
inference(resolution,[status(thm)],[f254,f14]) ).
fof(f275,plain,
icext(uri_foaf_Person,uri_ex_alice),
inference(resolution,[status(thm)],[f256,f50]) ).
fof(f277,plain,
iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(resolution,[status(thm)],[f275,f11]) ).
fof(f278,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f62]) ).
fof(f279,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f278]) ).
fof(f280,plain,
$false,
inference(sat_refutation,[status(thm)],[f63,f245,f279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:38:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.053500 seconds
% 0.09/0.43 % CPU time: 0.191869 seconds
% 0.09/0.43 % Total memory used: 19.171 MB
% 0.09/0.43 % Net memory used: 18.856 MB
%------------------------------------------------------------------------------