%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB065+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 : n017.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 4.57s 1.13s
% Output : CNFRefutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 116 ( 25 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 133 ( 49 ~; 49 |; 28 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-3 aty)
% Number of variables : 60 ( 54 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f295,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
& iext(uri_rdf_first,S1,A1) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> X = A1 )
& ic(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f354,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1] :
( iext(uri_rdf_type,uri_ex_w,X1)
& iext(uri_owl_oneOf,X1,X0)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_u) ),
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(f1211,plain,
! [Z,S1,A1] :
( ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> X = A1 )
& ic(Z) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(pre_NNF_transformation,[status(thm)],[f295]) ).
fof(f1212,plain,
! [Z,S1,A1] :
( ( ( ? [X] :
( ( X = A1
| icext(Z,X) )
& ( X != A1
| ~ icext(Z,X) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ( ( ! [X] :
( ( X != A1
| icext(Z,X) )
& ( X = A1
| ~ icext(Z,X) ) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(NNF_transformation,[status(thm)],[f1211]) ).
fof(f1213,plain,
! [S1,A1] :
( ( ! [Z] :
( ? [X] :
( ( X = A1
| icext(Z,X) )
& ( X != A1
| ~ icext(Z,X) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( X != A1
| icext(Z,X) )
& ! [X] :
( X = A1
| ~ icext(Z,X) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(miniscoping,[status(thm)],[f1212]) ).
fof(f1214,plain,
! [S1,A1] :
( ( ! [Z] :
( ( ( sK10_skl(Z,A1,S1) = A1
| icext(Z,sK10_skl(Z,A1,S1)) )
& ( sK10_skl(Z,A1,S1) != A1
| ~ icext(Z,sK10_skl(Z,A1,S1)) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( X != A1
| icext(Z,X) )
& ! [X] :
( X = A1
| ~ icext(Z,X) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(X,sK10_skl(Z,A1,S1))],[f1213]) ).
fof(f1216,plain,
! [X0,X1,X2,X3] :
( X3 = X1
| ~ icext(X2,X3)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1214]) ).
fof(f1832,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f354]) ).
fof(f1833,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)],[f1832]) ).
fof(f1835,plain,
! [X0,X1] :
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1833]) ).
fof(f2405,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
? [X1] :
( iext(uri_rdf_type,uri_ex_w,X1)
& ? [X0] :
( iext(uri_owl_oneOf,X1,X0)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_u) ) ),
inference(miniscoping,[status(thm)],[f561]) ).
fof(f2407,plain,
( iext(uri_rdf_type,uri_ex_w,sK199_skl)
& iext(uri_owl_oneOf,sK199_skl,sK200_skl)
& iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK200_skl,uri_ex_u) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl]),skolemize(X1,sK199_skl),skolemize(X0,sK200_skl)],[f2406]) ).
fof(f2408,plain,
iext(uri_rdf_first,sK200_skl,uri_ex_u),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2409,plain,
iext(uri_rdf_rest,sK200_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2410,plain,
iext(uri_owl_oneOf,sK199_skl,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2411,plain,
iext(uri_rdf_type,uri_ex_w,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2512,plain,
! [X0] : iext(uri_owl_sameAs,X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f1835]) ).
fof(f2657,plain,
icext(sK199_skl,uri_ex_w),
inference(resolution,[status(thm)],[f594,f2411]) ).
fof(f8923,plain,
! [X0,X1] :
( X1 = uri_ex_u
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sK200_skl)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil) ),
inference(resolution,[status(thm)],[f1216,f2408]) ).
fof(f8924,plain,
! [X0,X1] :
( X1 = uri_ex_u
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sK200_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f8923,f2409]) ).
fof(f8939,plain,
! [X0] :
( X0 = uri_ex_u
| ~ icext(sK199_skl,X0) ),
inference(resolution,[status(thm)],[f8924,f2410]) ).
fof(f8941,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[status(thm)],[f8939,f2657]) ).
fof(f8947,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
inference(backward_demodulation,[status(thm)],[f8941,f2405]) ).
fof(f8948,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f8947,f2512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB065+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 07:40:26 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 4.57/1.13 % Refutation found
% 4.57/1.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.57/1.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.37/1.18 % Elapsed time: 0.803870 seconds
% 5.37/1.18 % CPU time: 5.673482 seconds
% 5.37/1.18 % Total memory used: 169.106 MB
% 5.37/1.18 % Net memory used: 165.410 MB
%------------------------------------------------------------------------------