%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB009+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 : n001.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 02:37:03 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 105 ( 41 ~; 37 |; 23 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 60 ( 53 !; 7 ?)
% 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,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(f3,conjecture,
? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,BNODE_x) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,BNODE_x) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,axiom,
? [BNODE_z] :
( iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,BNODE_z)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,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(f7,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)],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f10,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)],[f2]) ).
fof(f11,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)],[f10]) ).
fof(f12,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)],[f11]) ).
fof(f13,plain,
! [Z,P,C] :
( ( ! [X] :
( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ! [X] :
( ( icext(C,sK0_skl(X,C,P,Z))
& iext(P,X,sK0_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,[sK0_skl]),skolemize(Y,sK0_skl(X,C,P,Z))],[f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( iext(X2,X3,sK0_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)],[f13]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( icext(X1,sK0_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)],[f13]) ).
fof(f17,plain,
! [BNODE_x] :
( ~ iext(uri_rdf_type,BNODE_x,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,BNODE_x) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
( iext(uri_owl_someValuesFrom,sK1_skl,uri_ex_c)
& iext(uri_owl_onProperty,sK1_skl,uri_ex_p)
& iext(uri_rdf_type,sK1_skl,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,sK1_skl)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(BNODE_z,sK1_skl)],[f5]) ).
fof(f22,plain,
iext(uri_rdf_type,uri_ex_s,sK1_skl),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f24,plain,
iext(uri_owl_onProperty,sK1_skl,uri_ex_p),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f25,plain,
iext(uri_owl_someValuesFrom,sK1_skl,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f26,plain,
icext(sK1_skl,uri_ex_s),
inference(resolution,[status(thm)],[f8,f22]) ).
fof(f34,plain,
! [X0,X1] :
( iext(X0,X1,sK0_skl(X1,uri_ex_c,X0,sK1_skl))
| ~ icext(sK1_skl,X1)
| ~ iext(uri_owl_onProperty,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f25,f14]) ).
fof(f35,plain,
! [X0] :
( iext(uri_ex_p,X0,sK0_skl(X0,uri_ex_c,uri_ex_p,sK1_skl))
| ~ icext(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f34,f24]) ).
fof(f36,plain,
! [X0,X1] :
( icext(uri_ex_c,sK0_skl(X1,uri_ex_c,X0,sK1_skl))
| ~ icext(sK1_skl,X1)
| ~ iext(uri_owl_onProperty,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f15,f25]) ).
fof(f37,plain,
iext(uri_ex_p,uri_ex_s,sK0_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK1_skl)),
inference(resolution,[status(thm)],[f35,f26]) ).
fof(f38,plain,
! [X0] :
( icext(uri_ex_c,sK0_skl(X0,uri_ex_c,uri_ex_p,sK1_skl))
| ~ icext(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f36,f24]) ).
fof(f40,plain,
icext(uri_ex_c,sK0_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK1_skl)),
inference(resolution,[status(thm)],[f38,f26]) ).
fof(f41,plain,
iext(uri_rdf_type,sK0_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK1_skl),uri_ex_c),
inference(resolution,[status(thm)],[f40,f9]) ).
fof(f42,plain,
~ iext(uri_ex_p,uri_ex_s,sK0_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK1_skl)),
inference(resolution,[status(thm)],[f41,f18]) ).
fof(f44,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f42,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.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 07:43:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.044438 seconds
% 0.10/0.42 % CPU time: 0.135542 seconds
% 0.10/0.42 % Total memory used: 46.963 MB
% 0.10/0.42 % Net memory used: 46.553 MB
%------------------------------------------------------------------------------