%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB024+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 : n004.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 02:37:09 PM UTC 2026
% Result : Theorem 0.14s 0.59s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 55 ( 8 unt; 2 def)
% Number of atoms : 210 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 243 ( 88 ~; 83 |; 60 &)
% ( 9 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-3 aty)
% Number of variables : 112 ( 96 !; 16 ?)
% 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,
! [Z,P] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] : iext(P,X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,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(f4,axiom,
! [P] :
( icext(uri_owl_TransitiveProperty,P)
<=> ( ! [X,Y,Z] :
( ( iext(P,Y,Z)
& iext(P,X,Y) )
=> iext(P,X,Z) )
& ip(P) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
? [BNODE_x] :
( iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
& iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
& iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,axiom,
? [BNODE_z] :
( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_owl_minCardinality,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
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(f12,plain,
! [Z,P] :
( ! [X] :
( icext(Z,X)
<=> ? [Y] : iext(P,X,Y) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [Z,P] :
( ! [X] :
( ( ! [Y] : ~ iext(P,X,Y)
| icext(Z,X) )
& ( ? [Y] : iext(P,X,Y)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
! [Z,P] :
( ( ! [X] :
( ! [Y] : ~ iext(P,X,Y)
| icext(Z,X) )
& ! [X] :
( ? [Y] : iext(P,X,Y)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f15,plain,
! [Z,P] :
( ( ! [X] :
( ! [Y] : ~ iext(P,X,Y)
| icext(Z,X) )
& ! [X] :
( iext(P,X,sK0_skl(X,P,Z))
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X,P,Z))],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( iext(X1,X2,sK0_skl(X2,X1,X0))
| ~ icext(X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f18,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)],[f3]) ).
fof(f19,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)],[f18]) ).
fof(f20,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)],[f19]) ).
fof(f21,plain,
( ! [C1,C2] :
( ( ~ icext(C2,sK1_skl(C2,C1))
& icext(C1,sK1_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,[sK1_skl]),skolemize(X,sK1_skl(C2,C1))],[f20]) ).
fof(f24,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f27,plain,
! [P] :
( icext(uri_owl_TransitiveProperty,P)
<=> ( ! [X,Y,Z] :
( iext(P,X,Z)
| ~ iext(P,Y,Z)
| ~ iext(P,X,Y) )
& ip(P) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
! [P] :
( ( ? [X,Y,Z] :
( ~ iext(P,X,Z)
& iext(P,Y,Z)
& iext(P,X,Y) )
| ~ ip(P)
| icext(uri_owl_TransitiveProperty,P) )
& ( ( ! [X,Y,Z] :
( iext(P,X,Z)
| ~ iext(P,Y,Z)
| ~ iext(P,X,Y) )
& ip(P) )
| ~ icext(uri_owl_TransitiveProperty,P) ) ),
inference(NNF_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
( ! [P] :
( ? [X,Z] :
( ~ iext(P,X,Z)
& ? [Y] :
( iext(P,Y,Z)
& iext(P,X,Y) ) )
| ~ ip(P)
| icext(uri_owl_TransitiveProperty,P) )
& ! [P] :
( ( ! [X,Z] :
( iext(P,X,Z)
| ! [Y] :
( ~ iext(P,Y,Z)
| ~ iext(P,X,Y) ) )
& ip(P) )
| ~ icext(uri_owl_TransitiveProperty,P) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f30,plain,
( ! [P] :
( ( ~ iext(P,sK2_skl(P),sK3_skl(P))
& iext(P,sK4_skl(P),sK3_skl(P))
& iext(P,sK2_skl(P),sK4_skl(P)) )
| ~ ip(P)
| icext(uri_owl_TransitiveProperty,P) )
& ! [P] :
( ( ! [X,Z] :
( iext(P,X,Z)
| ! [Y] :
( ~ iext(P,Y,Z)
| ~ iext(P,X,Y) ) )
& ip(P) )
| ~ icext(uri_owl_TransitiveProperty,P) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK2_skl(P)),skolemize(Z,sK3_skl(P)),skolemize(Y,sK4_skl(P))],[f29]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X2)
| ~ icext(uri_owl_TransitiveProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f36,plain,
! [BNODE_x] :
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f37,plain,
! [X0] :
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& ? [BNODE_z] :
( iext(uri_owl_minCardinality,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f39,plain,
( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_owl_minCardinality,sK5_skl,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,sK5_skl,uri_ex_hasAncestor)
& iext(uri_rdf_type,sK5_skl,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Person,sK5_skl)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(BNODE_z,sK5_skl)],[f38]) ).
fof(f40,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,sK5_skl),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f43,plain,
iext(uri_owl_onProperty,sK5_skl,uri_ex_hasAncestor),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f44,plain,
iext(uri_owl_minCardinality,sK5_skl,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f46,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f47,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_type,X0,uri_owl_TransitiveProperty)
| iext(X0,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X2) ),
inference(resolution,[status(thm)],[f32,f10]) ).
fof(f51,plain,
! [X0,X1,X2] :
( iext(uri_ex_hasAncestor,X0,X2)
| ~ iext(uri_ex_hasAncestor,X1,X2)
| ~ iext(uri_ex_hasAncestor,X0,X1) ),
inference(resolution,[status(thm)],[f50,f40]) ).
fof(f54,plain,
! [X0,X1] :
( iext(X0,X1,sK0_skl(X1,X0,sK5_skl))
| ~ icext(sK5_skl,X1)
| ~ iext(uri_owl_onProperty,sK5_skl,X0) ),
inference(resolution,[status(thm)],[f44,f16]) ).
fof(f55,plain,
! [X0] :
( icext(sK5_skl,X0)
| ~ icext(uri_ex_Person,X0) ),
inference(resolution,[status(thm)],[f24,f41]) ).
fof(f76,plain,
! [X0] :
( iext(uri_ex_hasAncestor,X0,sK0_skl(X0,uri_ex_hasAncestor,sK5_skl))
| ~ icext(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f54,f43]) ).
fof(f78,plain,
! [X0,X1] :
( iext(uri_ex_hasAncestor,X1,sK0_skl(X0,uri_ex_hasAncestor,sK5_skl))
| ~ iext(uri_ex_hasAncestor,X1,X0)
| ~ icext(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f76,f51]) ).
fof(f92,plain,
( iext(uri_ex_hasAncestor,uri_ex_alice,sK0_skl(uri_ex_bob,uri_ex_hasAncestor,sK5_skl))
| ~ icext(sK5_skl,uri_ex_bob) ),
inference(resolution,[status(thm)],[f78,f47]) ).
fof(f94,definition,
( sQ5_spl
<=> icext(sK5_skl,uri_ex_bob) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( sQ5_spl
| ~ icext(sK5_skl,uri_ex_bob) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,definition,
( sQ6_spl
<=> iext(uri_ex_hasAncestor,uri_ex_alice,sK0_skl(uri_ex_bob,uri_ex_hasAncestor,sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ6_spl
| iext(uri_ex_hasAncestor,uri_ex_alice,sK0_skl(uri_ex_bob,uri_ex_hasAncestor,sK5_skl)) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f92,f94,f97]) ).
fof(f101,plain,
( ~ sQ6_spl
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,sK0_skl(uri_ex_bob,uri_ex_hasAncestor,sK5_skl)) ),
inference(resolution,[status(thm)],[f98,f37]) ).
fof(f145,plain,
( sQ5_spl
| ~ icext(uri_ex_Person,uri_ex_bob) ),
inference(resolution,[status(thm)],[f96,f55]) ).
fof(f147,plain,
( sQ5_spl
| ~ iext(uri_rdf_type,uri_ex_bob,uri_ex_Person) ),
inference(resolution,[status(thm)],[f145,f10]) ).
fof(f148,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f147,f46]) ).
fof(f149,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f154,plain,
( ~ sQ6_spl
| ~ icext(sK5_skl,uri_ex_bob) ),
inference(resolution,[status(thm)],[f101,f76]) ).
fof(f155,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f154,f94,f97]) ).
fof(f156,plain,
$false,
inference(sat_refutation,[status(thm)],[f100,f149,f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.55 % Computer : n004.cluster.edu
% 0.11/0.55 % Model : x86_64 x86_64
% 0.11/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55 % Memory : 8046.5625MB
% 0.11/0.55 % OS : Linux 6.8.0-71-generic
% 0.11/0.55 % CPULimit : 300
% 0.11/0.55 % WCLimit : 300
% 0.11/0.55 % DateTime : Mon Sep 21 07:40:38 UTC 2026
% 0.11/0.55 % CPUTime :
% 0.11/0.56 % Drodi V4.1.1
% 0.14/0.59 % Refutation found
% 0.14/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.62 % Elapsed time: 0.049109 seconds
% 0.14/0.62 % CPU time: 0.153332 seconds
% 0.14/0.62 % Total memory used: 17.998 MB
% 0.14/0.62 % Net memory used: 17.614 MB
%------------------------------------------------------------------------------