%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB097+1 : 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 02:37:20 PM UTC 2026
% Result : Theorem 21.06s 13.35s
% Output : CNFRefutation 21.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 106 ( 44 ~; 42 |; 16 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-4 aty)
% Number of variables : 54 ( 50 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f337,axiom,
! [Z,P,C] :
( ( iext(uri_owl_onClass,Z,C)
& iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] :
( icext(C,Y)
& iext(P,X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_ex_p,uri_ex_w,uri_ex_x)
& iext(uri_rdf_type,uri_ex_x,uri_ex_c)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
file('/export/starexec/sandbox/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(f1675,plain,
! [Z,P,C] :
( ! [X] :
( icext(Z,X)
<=> ? [Y] :
( icext(C,Y)
& iext(P,X,Y) ) )
| ~ iext(uri_owl_onClass,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(pre_NNF_transformation,[status(thm)],[f337]) ).
fof(f1676,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_onClass,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(NNF_transformation,[status(thm)],[f1675]) ).
fof(f1677,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_onClass,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(miniscoping,[status(thm)],[f1676]) ).
fof(f1678,plain,
! [Z,P,C] :
( ( ! [X] :
( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ! [X] :
( ( icext(C,sK104_skl(X,C,P,Z))
& iext(P,X,sK104_skl(X,C,P,Z)) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onClass,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104_skl]),skolemize(Y,sK104_skl(X,C,P,Z))],[f1677]) ).
fof(f1681,plain,
! [X0,X1,X2,X3,X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4)
| icext(X0,X3)
| ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(cnf_transformation,[status(thm)],[f1678]) ).
fof(f2405,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2407,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2408,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2409,plain,
iext(uri_rdf_type,uri_ex_x,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2410,plain,
iext(uri_ex_p,uri_ex_w,uri_ex_x),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f7466,plain,
icext(uri_ex_c,uri_ex_x),
inference(resolution,[status(thm)],[f2409,f594]) ).
fof(f9056,plain,
! [X0,X1,X2,X3] :
( ~ icext(X1,X3)
| ~ iext(X0,X2,X3)
| icext(uri_ex_z,X2)
| ~ iext(uri_owl_onClass,uri_ex_z,X1)
| ~ iext(uri_owl_onProperty,uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f1681,f2406]) ).
fof(f9057,plain,
! [X0,X1,X2] :
( ~ icext(X0,X2)
| ~ iext(uri_ex_p,X1,X2)
| icext(uri_ex_z,X1)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f9056,f2407]) ).
fof(f9058,plain,
! [X0] :
( ~ icext(X0,uri_ex_x)
| icext(uri_ex_z,uri_ex_w)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f9057,f2410]) ).
fof(f9060,plain,
( ~ icext(uri_ex_c,uri_ex_x)
| icext(uri_ex_z,uri_ex_w) ),
inference(resolution,[status(thm)],[f9058,f2408]) ).
fof(f9061,plain,
icext(uri_ex_z,uri_ex_w),
inference(forward_subsumption_resolution,[status(thm)],[f9060,f7466]) ).
fof(f9063,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(resolution,[status(thm)],[f9061,f595]) ).
fof(f9064,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f9063,f2405]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB097+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.56 % Computer : n013.cluster.edu
% 0.10/10.56 % Model : x86_64 x86_64
% 0.10/10.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.56 % Memory : 8046.5625MB
% 0.10/10.56 % OS : Linux 6.8.0-71-generic
% 0.10/10.56 % CPULimit : 300
% 0.10/10.56 % WCLimit : 300
% 0.10/10.56 % DateTime : Mon Sep 21 07:47:02 UTC 2026
% 0.10/10.57 % CPUTime :
% 0.16/10.64 % Drodi V4.1.1
% 21.06/13.35 % Refutation found
% 21.06/13.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 21.06/13.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.06/13.39 % Elapsed time: 2.807889 seconds
% 21.06/13.39 % CPU time: 21.541989 seconds
% 21.06/13.39 % Total memory used: 196.391 MB
% 21.06/13.39 % Net memory used: 187.392 MB
%------------------------------------------------------------------------------