%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB009+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 0.13s 0.49s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 7 unt; 4 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 135 ( 53 ~; 51 |; 23 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 57 ( 50 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,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(f80,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,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(f140,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)],[f139]) ).
fof(f141,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(f390,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)],[f58]) ).
fof(f391,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)],[f390]) ).
fof(f392,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)],[f391]) ).
fof(f393,plain,
! [Z,P,C] :
( ( ! [X] :
( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ! [X] :
( ( icext(C,sK17_skl(X,C,P,Z))
& iext(P,X,sK17_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,[sK17_skl]),skolemize(Y,sK17_skl(X,C,P,Z))],[f392]) ).
fof(f394,plain,
! [X0,X1,X2,X3] :
( iext(X2,X3,sK17_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)],[f393]) ).
fof(f395,plain,
! [X0,X1,X2,X3] :
( icext(X1,sK17_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)],[f393]) ).
fof(f421,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)],[f80]) ).
fof(f422,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)],[f421]) ).
fof(f423,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f424,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f514,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)],[f140]) ).
fof(f515,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,X0) ),
inference(cnf_transformation,[status(thm)],[f514]) ).
fof(f516,plain,
( iext(uri_owl_someValuesFrom,sK18_skl,uri_ex_c)
& iext(uri_owl_onProperty,sK18_skl,uri_ex_p)
& iext(uri_rdf_type,sK18_skl,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,sK18_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,[sK18_skl]),skolemize(BNODE_z,sK18_skl)],[f141]) ).
fof(f519,plain,
iext(uri_rdf_type,uri_ex_s,sK18_skl),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f521,plain,
iext(uri_owl_onProperty,sK18_skl,uri_ex_p),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f522,plain,
iext(uri_owl_someValuesFrom,sK18_skl,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f591,plain,
! [X0,X1] :
( iext(X0,X1,sK17_skl(X1,uri_ex_c,X0,sK18_skl))
| ~ icext(sK18_skl,X1)
| ~ iext(uri_owl_onProperty,sK18_skl,X0) ),
inference(resolution,[status(thm)],[f394,f522]) ).
fof(f593,plain,
! [X0] :
( iext(uri_ex_p,X0,sK17_skl(X0,uri_ex_c,uri_ex_p,sK18_skl))
| ~ icext(sK18_skl,X0) ),
inference(resolution,[status(thm)],[f591,f521]) ).
fof(f594,plain,
( ~ iext(uri_rdf_type,sK17_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK18_skl),uri_ex_c)
| ~ icext(sK18_skl,uri_ex_s) ),
inference(resolution,[status(thm)],[f593,f515]) ).
fof(f595,definition,
( sQ2_spl
<=> icext(sK18_skl,uri_ex_s) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( sQ2_spl
| ~ icext(sK18_skl,uri_ex_s) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,definition,
( sQ3_spl
<=> iext(uri_rdf_type,sK17_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK18_skl),uri_ex_c) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( sQ3_spl
| ~ iext(uri_rdf_type,sK17_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK18_skl),uri_ex_c) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f594,f595,f598]) ).
fof(f610,plain,
( sQ2_spl
| ~ iext(uri_rdf_type,uri_ex_s,sK18_skl) ),
inference(resolution,[status(thm)],[f597,f423]) ).
fof(f611,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f610,f519]) ).
fof(f612,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ3_spl
| ~ icext(uri_ex_c,sK17_skl(uri_ex_s,uri_ex_c,uri_ex_p,sK18_skl)) ),
inference(resolution,[status(thm)],[f600,f424]) ).
fof(f614,plain,
( sQ3_spl
| ~ icext(sK18_skl,uri_ex_s)
| ~ iext(uri_owl_onProperty,sK18_skl,uri_ex_p)
| ~ iext(uri_owl_someValuesFrom,sK18_skl,uri_ex_c) ),
inference(resolution,[status(thm)],[f613,f395]) ).
fof(f624,definition,
( sQ4_spl
<=> iext(uri_owl_someValuesFrom,sK18_skl,uri_ex_c) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( sQ4_spl
| ~ iext(uri_owl_someValuesFrom,sK18_skl,uri_ex_c) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,definition,
( sQ5_spl
<=> iext(uri_owl_onProperty,sK18_skl,uri_ex_p) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( sQ5_spl
| ~ iext(uri_owl_onProperty,sK18_skl,uri_ex_p) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f614,f624,f627,f595,f598]) ).
fof(f631,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f626,f522]) ).
fof(f632,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f631]) ).
fof(f633,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f629,f521]) ).
fof(f634,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f633]) ).
fof(f635,plain,
$false,
inference(sat_refutation,[status(thm)],[f601,f612,f630,f632,f634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB009+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:38:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.49 % Refutation found
% 0.13/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.51 % Elapsed time: 0.149976 seconds
% 0.13/0.51 % CPU time: 0.858167 seconds
% 0.13/0.51 % Total memory used: 35.347 MB
% 0.13/0.51 % Net memory used: 34.409 MB
%------------------------------------------------------------------------------