%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB009+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 0.30s 1.13s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 6 unt; 3 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 131 ( 52 ~; 49 |; 23 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 59 ( 52 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f340,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,BNODE_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,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)],[f559]) ).
fof(f561,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f592,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)],[f25]) ).
fof(f593,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)],[f592]) ).
fof(f594,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f595,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f1706,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)],[f340]) ).
fof(f1707,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)],[f1706]) ).
fof(f1708,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)],[f1707]) ).
fof(f1709,plain,
! [Z,P,C] :
( ( ! [X] :
( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ! [X] :
( ( icext(C,sK110_skl(X,C,P,Z))
& iext(P,X,sK110_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,[sK110_skl]),skolemize(Y,sK110_skl(X,C,P,Z))],[f1708]) ).
fof(f1710,plain,
! [X0,X1,X2,X3] :
( iext(X2,X3,sK110_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)],[f1709]) ).
fof(f1711,plain,
! [X0,X1,X2,X3] :
( icext(X1,sK110_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)],[f1709]) ).
fof(f2405,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)],[f560]) ).
fof(f2406,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,X0) ),
inference(cnf_transformation,[status(thm)],[f2405]) ).
fof(f2407,plain,
( iext(uri_owl_someValuesFrom,sK199_skl,uri_ex_c)
& iext(uri_owl_onProperty,sK199_skl,uri_ex_p)
& iext(uri_rdf_type,sK199_skl,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,sK199_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,[sK199_skl]),skolemize(BNODE_z,sK199_skl)],[f561]) ).
fof(f2410,plain,
iext(uri_rdf_type,uri_ex_s,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2412,plain,
iext(uri_owl_onProperty,sK199_skl,uri_ex_p),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2413,plain,
iext(uri_owl_someValuesFrom,sK199_skl,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f3156,plain,
! [X0,X1] :
( iext(X0,X1,sK110_skl(X1,uri_ex_c,X0,sK199_skl))
| ~ icext(sK199_skl,X1)
| ~ iext(uri_owl_onProperty,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f1710,f2413]) ).
fof(f3157,plain,
! [X0] :
( iext(uri_ex_p,X0,sK110_skl(X0,uri_ex_c,uri_ex_p,sK199_skl))
| ~ icext(sK199_skl,X0) ),
inference(resolution,[status(thm)],[f3156,f2412]) ).
fof(f3158,plain,
! [X0,X1] :
( icext(uri_ex_c,sK110_skl(X1,uri_ex_c,X0,sK199_skl))
| ~ icext(sK199_skl,X1)
| ~ iext(uri_owl_onProperty,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f1711,f2413]) ).
fof(f3170,plain,
( ~ iext(uri_rdf_type,sK110_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK199_skl),uri_ex_c)
| ~ icext(sK199_skl,uri_ex_s) ),
inference(resolution,[status(thm)],[f3157,f2406]) ).
fof(f3171,definition,
( sQ49_spl
<=> icext(sK199_skl,uri_ex_s) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f3173,plain,
( sQ49_spl
| ~ icext(sK199_skl,uri_ex_s) ),
inference(component_clause,[status(thm)],[f3171]) ).
fof(f3174,definition,
( sQ50_spl
<=> iext(uri_rdf_type,sK110_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK199_skl),uri_ex_c) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f3176,plain,
( sQ50_spl
| ~ iext(uri_rdf_type,sK110_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK199_skl),uri_ex_c) ),
inference(component_clause,[status(thm)],[f3174]) ).
fof(f3177,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3170,f3171,f3174]) ).
fof(f3181,plain,
( sQ49_spl
| ~ iext(uri_rdf_type,uri_ex_s,sK199_skl) ),
inference(resolution,[status(thm)],[f3173,f594]) ).
fof(f3182,plain,
( sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3181,f2410]) ).
fof(f3183,plain,
sQ49_spl,
inference(contradiction_clause,[status(thm)],[f3182]) ).
fof(f3184,plain,
( sQ50_spl
| ~ icext(uri_ex_c,sK110_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK199_skl)) ),
inference(resolution,[status(thm)],[f3176,f595]) ).
fof(f3189,plain,
( sQ50_spl
| ~ icext(sK199_skl,uri_ex_s)
| ~ iext(uri_owl_onProperty,sK199_skl,uri_ex_p) ),
inference(resolution,[status(thm)],[f3158,f3184]) ).
fof(f3190,definition,
( sQ51_spl
<=> iext(uri_owl_onProperty,sK199_skl,uri_ex_p) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f3192,plain,
( sQ51_spl
| ~ iext(uri_owl_onProperty,sK199_skl,uri_ex_p) ),
inference(component_clause,[status(thm)],[f3190]) ).
fof(f3193,plain,
( sQ50_spl
| ~ sQ49_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3189,f3190,f3171,f3174]) ).
fof(f3194,plain,
( sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3192,f2412]) ).
fof(f3195,plain,
sQ51_spl,
inference(contradiction_clause,[status(thm)],[f3194]) ).
fof(f3196,plain,
$false,
inference(sat_refutation,[status(thm)],[f3177,f3183,f3193,f3195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB009+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n014.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 07:37:49 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.18/0.50 % Drodi V4.1.1
% 0.30/1.13 % Refutation found
% 0.30/1.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.30/1.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.30/1.19 % Elapsed time: 0.771979 seconds
% 0.30/1.19 % CPU time: 5.032514 seconds
% 0.30/1.19 % Total memory used: 165.711 MB
% 0.30/1.19 % Net memory used: 162.315 MB
%------------------------------------------------------------------------------