%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB057+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 : n003.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 02:37:16 PM UTC 2026
% Result : Theorem 0.13s 0.49s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 75 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 76 ( 30 ~; 21 |; 20 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 40 ( 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f278,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f345,axiom,
! [X,Y] :
( iext(uri_owl_differentFrom,X,Y)
<=> X != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0] :
( iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_owl_complementOf,X0,uri_ex_c)
& iext(uri_rdf_type,uri_ex_u,X0) ),
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(f1086,plain,
! [Z,C] :
( ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(pre_NNF_transformation,[status(thm)],[f278]) ).
fof(f1087,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(NNF_transformation,[status(thm)],[f1086]) ).
fof(f1088,plain,
! [Z,C] :
( ( ! [X] :
( icext(C,X)
| icext(Z,X) )
& ! [X] :
( ~ icext(C,X)
| ~ icext(Z,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(miniscoping,[status(thm)],[f1087]) ).
fof(f1091,plain,
! [X0,X1,X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1088]) ).
fof(f1749,plain,
! [X,Y] :
( ( X = Y
| iext(uri_owl_differentFrom,X,Y) )
& ( X != Y
| ~ iext(uri_owl_differentFrom,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f345]) ).
fof(f1750,plain,
( ! [X,Y] :
( X = Y
| iext(uri_owl_differentFrom,X,Y) )
& ! [X,Y] :
( X != Y
| ~ iext(uri_owl_differentFrom,X,Y) ) ),
inference(miniscoping,[status(thm)],[f1749]) ).
fof(f1752,plain,
! [X0,X1] :
( X0 = X1
| iext(uri_owl_differentFrom,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1750]) ).
fof(f2405,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
( iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& ? [X0] :
( iext(uri_owl_complementOf,X0,uri_ex_c)
& iext(uri_rdf_type,uri_ex_u,X0) ) ),
inference(miniscoping,[status(thm)],[f561]) ).
fof(f2407,plain,
( iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_owl_complementOf,sK199_skl,uri_ex_c)
& iext(uri_rdf_type,uri_ex_u,sK199_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl]),skolemize(X0,sK199_skl)],[f2406]) ).
fof(f2408,plain,
iext(uri_rdf_type,uri_ex_u,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2409,plain,
iext(uri_owl_complementOf,sK199_skl,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2410,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2534,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[status(thm)],[f1752,f2405]) ).
fof(f2537,plain,
iext(uri_rdf_type,uri_ex_w,sK199_skl),
inference(forward_demodulation,[status(thm)],[f2534,f2408]) ).
fof(f2853,plain,
! [X0] :
( ~ icext(uri_ex_c,X0)
| ~ icext(sK199_skl,X0) ),
inference(resolution,[status(thm)],[f1091,f2409]) ).
fof(f2857,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,sK199_skl)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[f2853,f594]) ).
fof(f2944,plain,
~ icext(uri_ex_c,uri_ex_w),
inference(resolution,[status(thm)],[f2857,f2537]) ).
fof(f2950,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(resolution,[status(thm)],[f2944,f594]) ).
fof(f2951,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2950,f2410]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB057+1 : 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 : n003.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 07:46:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.40 % 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
% 0.30/0.52 % Elapsed time: 0.155736 seconds
% 0.30/0.52 % CPU time: 0.612540 seconds
% 0.30/0.52 % Total memory used: 143.370 MB
% 0.30/0.52 % Net memory used: 142.215 MB
%------------------------------------------------------------------------------