%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB006+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 : n012.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 02:37:01 PM UTC 2026
% Result : Theorem 0.03s 10.52s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 34 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 6 |; 6 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 14 ( 13 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,axiom,
? [BNODE_x] :
( iext(uri_owl_sameAs,BNODE_x,uri_ex_w)
& iext(uri_owl_sameAs,BNODE_x,literal_plain(dat_str_abc))
& iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
( ! [X,Y] :
( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ! [X,Y] :
( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
( iext(uri_owl_sameAs,sK0_skl,uri_ex_w)
& iext(uri_owl_sameAs,sK0_skl,literal_plain(dat_str_abc))
& iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(BNODE_x,sK0_skl)],[f4]) ).
fof(f11,plain,
iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
iext(uri_owl_sameAs,sK0_skl,literal_plain(dat_str_abc)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,plain,
iext(uri_owl_sameAs,sK0_skl,uri_ex_w),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f14,plain,
! [X0] : iext(uri_owl_sameAs,X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f8]) ).
fof(f16,plain,
sK0_skl = uri_ex_w,
inference(resolution,[status(thm)],[f13,f7]) ).
fof(f17,plain,
uri_ex_u = literal_plain(dat_str_abc),
inference(resolution,[status(thm)],[f11,f7]) ).
fof(f20,plain,
iext(uri_owl_sameAs,uri_ex_w,literal_plain(dat_str_abc)),
inference(forward_demodulation,[status(thm)],[f16,f12]) ).
fof(f21,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(forward_demodulation,[status(thm)],[f17,f20]) ).
fof(f22,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[status(thm)],[f21,f7]) ).
fof(f25,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
inference(backward_demodulation,[status(thm)],[f22,f9]) ).
fof(f26,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f25,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/10.50 % Computer : n012.cluster.edu
% 0.03/10.50 % Model : x86_64 x86_64
% 0.03/10.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/10.50 % Memory : 8046.5625MB
% 0.03/10.50 % OS : Linux 6.8.0-71-generic
% 0.03/10.50 % CPULimit : 300
% 0.03/10.50 % WCLimit : 300
% 0.03/10.50 % DateTime : Mon Sep 21 07:37:20 UTC 2026
% 0.03/10.50 % CPUTime :
% 0.03/10.50 % Drodi V4.1.1
% 0.03/10.52 % Refutation found
% 0.03/10.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/10.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/10.55 % Elapsed time: 0.037769 seconds
% 0.03/10.55 % CPU time: 0.087304 seconds
% 0.03/10.55 % Total memory used: 43.938 MB
% 0.03/10.55 % Net memory used: 43.340 MB
%------------------------------------------------------------------------------