%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB023+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 02:37:09 PM UTC 2026
% Result : Theorem 12.31s 2.17s
% Output : CNFRefutation 12.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 13 unt; 0 def)
% Number of atoms : 154 ( 28 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 178 ( 68 ~; 64 |; 39 &)
% ( 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 : 14 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 71 ( 65 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f354,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [BNODE_o,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox2/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(f1217,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_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(pre_NNF_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(cnf_transformation,[status(thm)],[f2405]) ).
fof(f2407,plain,
? [BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& ? [BNODE_o] :
( iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ) ),
inference(miniscoping,[status(thm)],[f561]) ).
fof(f2408,plain,
( iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK199_skl,uri_ex_v)
& iext(uri_rdf_first,sK199_skl,uri_ex_u)
& iext(uri_owl_oneOf,sK200_skl,sK199_skl)
& iext(uri_rdf_type,sK200_skl,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK200_skl)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl]),skolemize(BNODE_l,sK199_skl),skolemize(BNODE_o,sK200_skl)],[f2407]) ).
fof(f2410,plain,
iext(uri_rdf_type,uri_ex_w,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2412,plain,
iext(uri_owl_oneOf,sK200_skl,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2413,plain,
iext(uri_rdf_first,sK199_skl,uri_ex_u),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2414,plain,
iext(uri_rdf_first,sK199_skl,uri_ex_v),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2415,plain,
iext(uri_rdf_rest,sK199_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2519,plain,
! [X0,X1,X2] :
( icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f1217]) ).
fof(f2525,plain,
! [X0] : iext(uri_owl_sameAs,X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f1835]) ).
fof(f2576,plain,
icext(sK200_skl,uri_ex_w),
inference(resolution,[status(thm)],[f594,f2410]) ).
fof(f2746,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_owl_oneOf,X1,sK199_skl)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f2415,f2519]) ).
fof(f2747,plain,
! [X0,X1,X2] :
( X2 = X0
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,sK199_skl)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f2415,f1216]) ).
fof(f3109,plain,
! [X0] :
( icext(sK200_skl,X0)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f2746,f2412]) ).
fof(f3113,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(sK200_skl,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f2747,f2412]) ).
fof(f3543,plain,
icext(sK200_skl,uri_ex_u),
inference(resolution,[status(thm)],[f3109,f2413]) ).
fof(f3544,plain,
! [X0] :
( X0 = uri_ex_v
| ~ icext(sK200_skl,X0) ),
inference(resolution,[status(thm)],[f3113,f2414]) ).
fof(f3557,plain,
uri_ex_u = uri_ex_v,
inference(resolution,[status(thm)],[f3544,f3543]) ).
fof(f3559,plain,
uri_ex_w = uri_ex_v,
inference(resolution,[status(thm)],[f3544,f2576]) ).
fof(f3563,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(backward_demodulation,[status(thm)],[f3557,f2406]) ).
fof(f3568,plain,
uri_ex_w = uri_ex_u,
inference(forward_demodulation,[status(thm)],[f3557,f3559]) ).
fof(f3572,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w) ),
inference(forward_demodulation,[status(thm)],[f3568,f3563]) ).
fof(f3573,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w) ),
inference(forward_demodulation,[status(thm)],[f3568,f3572]) ).
fof(f3574,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
inference(duplicate_literals_removal,[status(thm)],[f3573]) ).
fof(f3575,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3574,f2525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB023+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n010.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 07:41:25 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.28/0.56 % Drodi V4.1.1
% 12.31/2.17 % Refutation found
% 12.31/2.17 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.31/2.17 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.76/2.24 % Elapsed time: 1.779829 seconds
% 0.76/2.24 % CPU time: 12.855916 seconds
% 0.76/2.24 % Total memory used: 190.944 MB
% 0.76/2.24 % Net memory used: 185.029 MB
%------------------------------------------------------------------------------