%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB087+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 : n006.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 02:37:19 PM UTC 2026
% Result : Theorem 140.06s 18.45s
% Output : CNFRefutation 140.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 26 ~; 21 |; 7 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f314,axiom,
! [Z,P,V] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_hasSelf,Z,V) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,X) ) ),
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_w)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)) ),
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(f595,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f1448,plain,
! [Z,P,V] :
( ! [X] :
( icext(Z,X)
<=> iext(P,X,X) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasSelf,Z,V) ),
inference(pre_NNF_transformation,[status(thm)],[f314]) ).
fof(f1449,plain,
! [Z,P,V] :
( ! [X] :
( ( ~ iext(P,X,X)
| icext(Z,X) )
& ( iext(P,X,X)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasSelf,Z,V) ),
inference(NNF_transformation,[status(thm)],[f1448]) ).
fof(f1450,plain,
! [Z,P] :
( ( ! [X] :
( ~ iext(P,X,X)
| icext(Z,X) )
& ! [X] :
( iext(P,X,X)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ! [V] : ~ iext(uri_owl_hasSelf,Z,V) ),
inference(miniscoping,[status(thm)],[f1449]) ).
fof(f1452,plain,
! [X0,X1,X2,X3] :
( ~ iext(X3,X2,X2)
| ~ iext(uri_owl_onProperty,X0,X3)
| icext(X0,X2)
| ~ iext(uri_owl_hasSelf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1450]) ).
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_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)),
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_ex_p,uri_ex_w,uri_ex_w),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2564,plain,
~ icext(uri_ex_z,uri_ex_w),
inference(resolution,[status(thm)],[f595,f2405]) ).
fof(f2702,plain,
! [X0,X1] :
( ~ iext(X1,X0,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z,X1)
| icext(uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f2406,f1452]) ).
fof(f2706,plain,
! [X0] :
( ~ iext(X0,uri_ex_w,uri_ex_w)
| ~ iext(uri_owl_onProperty,uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f2702,f2564]) ).
fof(f3200,plain,
~ iext(uri_ex_p,uri_ex_w,uri_ex_w),
inference(resolution,[status(thm)],[f2407,f2706]) ).
fof(f3203,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3200,f2408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB087+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n006.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 07:45:27 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.28/0.51 % Drodi V4.1.1
% 140.06/18.45 % Refutation found
% 140.06/18.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 140.06/18.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.56/18.51 % Elapsed time: 18.059019 seconds
% 21.56/18.51 % CPU time: 142.065479 seconds
% 21.56/18.51 % Total memory used: 394.044 MB
% 21.56/18.51 % Net memory used: 365.503 MB
%------------------------------------------------------------------------------