%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB039+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 : 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 02:37:14 PM UTC 2026
% Result : Theorem 64.32s 8.80s
% Output : CNFRefutation 64.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 5
% Syntax : Number of formulae : 102 ( 16 unt; 0 def)
% Number of atoms : 533 ( 0 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 755 ( 324 ~; 346 |; 77 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-4 aty)
% Number of variables : 206 ( 192 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f202,axiom,
! [X,Y] :
( iext(uri_owl_equivalentClass,X,Y)
=> ( ic(Y)
& ic(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C2,X)
& icext(C1,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f351,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
<=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
? [X1,X0] :
( iext(uri_owl_intersectionOf,uri_ex_c,X0)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_y)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ ? [X1,X0] :
( iext(uri_owl_intersectionOf,uri_ex_c,X0)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_y)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_x) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_owl_equivalentClass,uri_ex_c,X1)
& iext(uri_rdf_rest,X2,X0)
& iext(uri_rdf_first,X2,uri_ex_x)
& iext(uri_owl_intersectionOf,X1,X2)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f932,plain,
! [X,Y] :
( ( ic(Y)
& ic(X) )
| ~ iext(uri_owl_equivalentClass,X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f202]) ).
fof(f933,plain,
! [X0,X1] :
( ic(X0)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f932]) ).
fof(f1117,plain,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C2,X)
& icext(C1,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(pre_NNF_transformation,[status(thm)],[f282]) ).
fof(f1118,plain,
! [Z,S1,C1,S2,C2] :
( ( ( ? [X] :
( ( ( icext(C2,X)
& icext(C1,X) )
| icext(Z,X) )
& ( ~ icext(C2,X)
| ~ icext(C1,X)
| ~ icext(Z,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ( ! [X] :
( ( ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(NNF_transformation,[status(thm)],[f1117]) ).
fof(f1119,plain,
! [S1,C1,C2] :
( ( ! [Z] :
( ? [X] :
( ( ( icext(C2,X)
& icext(C1,X) )
| icext(Z,X) )
& ( ~ icext(C2,X)
| ~ icext(C1,X)
| ~ icext(Z,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ! [X] :
( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ) ),
inference(miniscoping,[status(thm)],[f1118]) ).
fof(f1120,plain,
! [S1,C1,C2] :
( ( ! [Z] :
( ( ( ( icext(C2,sK3_skl(Z,C2,C1,S1))
& icext(C1,sK3_skl(Z,C2,C1,S1)) )
| icext(Z,sK3_skl(Z,C2,C1,S1)) )
& ( ~ icext(C2,sK3_skl(Z,C2,C1,S1))
| ~ icext(C1,sK3_skl(Z,C2,C1,S1))
| ~ icext(Z,sK3_skl(Z,C2,C1,S1)) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ! [X] :
( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(X,sK3_skl(Z,C2,C1,S1))],[f1119]) ).
fof(f1122,plain,
! [X0,X1,X2,X3,X4] :
( ic(X1)
| ~ iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1120]) ).
fof(f1123,plain,
! [X0,X1,X2,X3,X4] :
( ic(X3)
| ~ iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1120]) ).
fof(f1124,plain,
! [X0,X1,X2,X3,X4,X5] :
( icext(X1,X5)
| ~ icext(X4,X5)
| ~ iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1120]) ).
fof(f1125,plain,
! [X0,X1,X2,X3,X4,X5] :
( icext(X3,X5)
| ~ icext(X4,X5)
| ~ iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1120]) ).
fof(f1126,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ icext(X3,X5)
| ~ icext(X1,X5)
| icext(X4,X5)
| ~ iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1120]) ).
fof(f1127,plain,
! [X0,X1,X2,X3,X4] :
( ~ icext(X3,sK3_skl(X4,X3,X1,X0))
| ~ icext(X1,sK3_skl(X4,X3,X1,X0))
| ~ icext(X4,sK3_skl(X4,X3,X1,X0))
| ~ ic(X3)
| ~ ic(X1)
| ~ ic(X4)
| iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1120]) ).
fof(f1128,plain,
! [X0,X1,X2,X3,X4] :
( icext(X1,sK3_skl(X4,X3,X1,X0))
| icext(X4,sK3_skl(X4,X3,X1,X0))
| ~ ic(X3)
| ~ ic(X1)
| ~ ic(X4)
| iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1120]) ).
fof(f1129,plain,
! [X0,X1,X2,X3,X4] :
( icext(X3,sK3_skl(X4,X3,X1,X0))
| icext(X4,sK3_skl(X4,X3,X1,X0))
| ~ ic(X3)
| ~ ic(X1)
| ~ ic(X4)
| iext(uri_owl_intersectionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1120]) ).
fof(f1805,plain,
! [C1,C2] :
( ( ? [X] :
( ( icext(C2,X)
| icext(C1,X) )
& ( ~ icext(C2,X)
| ~ icext(C1,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ( ( ! [X] :
( ( ~ icext(C2,X)
| icext(C1,X) )
& ( icext(C2,X)
| ~ icext(C1,X) ) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(NNF_transformation,[status(thm)],[f351]) ).
fof(f1806,plain,
( ! [C1,C2] :
( ? [X] :
( ( icext(C2,X)
| icext(C1,X) )
& ( ~ icext(C2,X)
| ~ icext(C1,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( ~ icext(C2,X)
| icext(C1,X) )
& ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(miniscoping,[status(thm)],[f1805]) ).
fof(f1807,plain,
( ! [C1,C2] :
( ( ( icext(C2,sK123_skl(C2,C1))
| icext(C1,sK123_skl(C2,C1)) )
& ( ~ icext(C2,sK123_skl(C2,C1))
| ~ icext(C1,sK123_skl(C2,C1)) ) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( ~ icext(C2,X)
| icext(C1,X) )
& ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK123_skl]),skolemize(X,sK123_skl(C2,C1))],[f1806]) ).
fof(f1810,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1807]) ).
fof(f1811,plain,
! [X0,X1,X2] :
( ~ icext(X1,X2)
| icext(X0,X2)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1807]) ).
fof(f2405,plain,
! [X1,X0] :
( ~ iext(uri_owl_intersectionOf,uri_ex_c,X0)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_x) ),
inference(pre_NNF_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
! [X0] :
( ~ iext(uri_owl_intersectionOf,uri_ex_c,X0)
| ! [X1] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_x) ) ),
inference(miniscoping,[status(thm)],[f2405]) ).
fof(f2407,plain,
! [X0,X1] :
( ~ iext(uri_owl_intersectionOf,uri_ex_c,X0)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_x) ),
inference(cnf_transformation,[status(thm)],[f2406]) ).
fof(f2408,plain,
? [X1] :
( iext(uri_owl_equivalentClass,uri_ex_c,X1)
& ? [X0,X2] :
( iext(uri_rdf_rest,X2,X0)
& iext(uri_rdf_first,X2,uri_ex_x)
& iext(uri_owl_intersectionOf,X1,X2)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_y) ) ),
inference(miniscoping,[status(thm)],[f561]) ).
fof(f2409,plain,
( iext(uri_owl_equivalentClass,uri_ex_c,sK199_skl)
& iext(uri_rdf_rest,sK201_skl,sK200_skl)
& iext(uri_rdf_first,sK201_skl,uri_ex_x)
& iext(uri_owl_intersectionOf,sK199_skl,sK201_skl)
& iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK200_skl,uri_ex_y) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl,sK201_skl]),skolemize(X1,sK199_skl),skolemize(X0,sK200_skl),skolemize(X2,sK201_skl)],[f2408]) ).
fof(f2410,plain,
iext(uri_rdf_first,sK200_skl,uri_ex_y),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2411,plain,
iext(uri_rdf_rest,sK200_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2412,plain,
iext(uri_owl_intersectionOf,sK199_skl,sK201_skl),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2413,plain,
iext(uri_rdf_first,sK201_skl,uri_ex_x),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2414,plain,
iext(uri_rdf_rest,sK201_skl,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2415,plain,
iext(uri_owl_equivalentClass,uri_ex_c,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2529,plain,
! [X0] :
( ~ iext(uri_owl_intersectionOf,uri_ex_c,X0)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,uri_ex_x) ),
inference(resolution,[status(thm)],[f2410,f2407]) ).
fof(f2539,plain,
! [X0,X1,X2] :
( ic(X1)
| ~ iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f1122,f2410]) ).
fof(f2542,plain,
! [X0,X1,X2] :
( ic(uri_ex_y)
| ~ iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f1123,f2410]) ).
fof(f2545,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f1124,f2410]) ).
fof(f2548,plain,
! [X0,X1,X2,X3] :
( icext(uri_ex_y,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f1125,f2410]) ).
fof(f2554,plain,
! [X0,X1,X2,X3] :
( ~ icext(uri_ex_y,X3)
| ~ icext(X1,X3)
| icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f1126,f2410]) ).
fof(f4306,plain,
ic(uri_ex_c),
inference(resolution,[status(thm)],[f933,f2415]) ).
fof(f4954,plain,
! [X0,X1,X2] :
( icext(X1,sK3_skl(X2,uri_ex_y,X1,X0))
| icext(X2,sK3_skl(X2,uri_ex_y,X1,X0))
| ~ ic(uri_ex_y)
| ~ ic(X1)
| ~ ic(X2)
| iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f1128,f2410]) ).
fof(f4958,plain,
! [X0,X1,X2] :
( icext(uri_ex_y,sK3_skl(X2,uri_ex_y,X1,X0))
| icext(X2,sK3_skl(X2,uri_ex_y,X1,X0))
| ~ ic(uri_ex_y)
| ~ ic(X1)
| ~ ic(X2)
| iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f1129,f2410]) ).
fof(f4964,plain,
! [X0] :
( icext(uri_ex_x,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(X0,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,sK201_skl)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl) ),
inference(resolution,[status(thm)],[f4954,f2413]) ).
fof(f4970,plain,
! [X0] :
( icext(uri_ex_y,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(X0,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,sK201_skl)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl) ),
inference(resolution,[status(thm)],[f4958,f2413]) ).
fof(f5822,plain,
! [X0] :
( icext(uri_ex_y,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(X0,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,sK201_skl)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f4970,f2411]) ).
fof(f5825,plain,
! [X0] :
( icext(uri_ex_x,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(X0,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,sK201_skl)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f4964,f2411]) ).
fof(f5864,plain,
! [X0,X1,X2,X3] :
( ~ icext(uri_ex_y,X3)
| ~ icext(X1,X3)
| icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2554,f2411]) ).
fof(f5866,plain,
! [X0,X1,X2,X3] :
( icext(uri_ex_y,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2548,f2411]) ).
fof(f5867,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2545,f2411]) ).
fof(f5868,plain,
! [X0,X1,X2] :
( ic(uri_ex_y)
| ~ iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2542,f2411]) ).
fof(f5869,plain,
! [X0,X1,X2] :
( ic(X1)
| ~ iext(uri_owl_intersectionOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2539,f2411]) ).
fof(f5870,plain,
! [X0] :
( ~ iext(uri_owl_intersectionOf,uri_ex_c,X0)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,uri_ex_x) ),
inference(backward_subsumption_resolution,[status(thm)],[f2529,f2411]) ).
fof(f6300,plain,
( ~ iext(uri_owl_intersectionOf,uri_ex_c,sK201_skl)
| ~ iext(uri_rdf_first,sK201_skl,uri_ex_x) ),
inference(resolution,[status(thm)],[f5870,f2414]) ).
fof(f6301,plain,
~ iext(uri_owl_intersectionOf,uri_ex_c,sK201_skl),
inference(forward_subsumption_resolution,[status(thm)],[f6300,f2413]) ).
fof(f6357,plain,
! [X0] :
( ic(X0)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f5869,f2412]) ).
fof(f6358,plain,
! [X0] :
( ic(X0)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6357,f2414]) ).
fof(f6359,plain,
ic(uri_ex_x),
inference(resolution,[status(thm)],[f6358,f2413]) ).
fof(f6977,plain,
! [X0] :
( ic(uri_ex_y)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f5868,f2412]) ).
fof(f6978,plain,
! [X0] :
( ic(uri_ex_y)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6977,f2414]) ).
fof(f6979,plain,
ic(uri_ex_y),
inference(resolution,[status(thm)],[f6978,f2413]) ).
fof(f7310,plain,
! [X0,X1] :
( ~ icext(uri_ex_y,X1)
| ~ icext(X0,X1)
| icext(sK199_skl,X1)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f5864,f2412]) ).
fof(f7311,plain,
! [X0,X1] :
( ~ icext(uri_ex_y,X1)
| ~ icext(X0,X1)
| icext(sK199_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7310,f2414]) ).
fof(f7359,plain,
! [X0,X1] :
( icext(uri_ex_y,X1)
| ~ icext(sK199_skl,X1)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f5866,f2412]) ).
fof(f7360,plain,
! [X0,X1] :
( icext(uri_ex_y,X1)
| ~ icext(sK199_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7359,f2414]) ).
fof(f7361,plain,
! [X0] :
( icext(uri_ex_y,X0)
| ~ icext(sK199_skl,X0) ),
inference(resolution,[status(thm)],[f7360,f2413]) ).
fof(f7367,plain,
! [X0,X1] :
( icext(X0,X1)
| ~ icext(sK199_skl,X1)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f5867,f2412]) ).
fof(f7368,plain,
! [X0,X1] :
( icext(X0,X1)
| ~ icext(sK199_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7367,f2414]) ).
fof(f7411,plain,
! [X0] :
( icext(uri_ex_x,X0)
| ~ icext(sK199_skl,X0) ),
inference(resolution,[status(thm)],[f7368,f2413]) ).
fof(f7632,plain,
! [X0] :
( ~ icext(uri_ex_y,X0)
| ~ icext(uri_ex_x,X0)
| icext(sK199_skl,X0) ),
inference(resolution,[status(thm)],[f7311,f2413]) ).
fof(f9389,plain,
! [X0] :
( icext(uri_ex_y,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(X0,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,sK201_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f5822,f2414]) ).
fof(f9393,plain,
( icext(uri_ex_y,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| iext(uri_owl_intersectionOf,uri_ex_c,sK201_skl) ),
inference(resolution,[status(thm)],[f9389,f4306]) ).
fof(f9466,plain,
( icext(uri_ex_y,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x) ),
inference(forward_subsumption_resolution,[status(thm)],[f9393,f6301]) ).
fof(f9550,plain,
( icext(uri_ex_y,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y) ),
inference(forward_subsumption_resolution,[status(thm)],[f9466,f6359]) ).
fof(f9551,plain,
( icext(uri_ex_y,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)) ),
inference(resolution,[status(thm)],[f9550,f6979]) ).
fof(f9567,plain,
! [X0] :
( icext(uri_ex_x,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(X0,sK3_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,sK201_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f5825,f2414]) ).
fof(f9571,plain,
( icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| iext(uri_owl_intersectionOf,uri_ex_c,sK201_skl) ),
inference(resolution,[status(thm)],[f9567,f4306]) ).
fof(f9643,plain,
( icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x) ),
inference(forward_subsumption_resolution,[status(thm)],[f9571,f6301]) ).
fof(f9716,plain,
( icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y) ),
inference(forward_subsumption_resolution,[status(thm)],[f9643,f6359]) ).
fof(f9717,plain,
( icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)) ),
inference(resolution,[status(thm)],[f9716,f6979]) ).
fof(f13839,plain,
! [X0] :
( icext(sK199_skl,X0)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[f1810,f2415]) ).
fof(f13842,plain,
( icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(sK199_skl,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)) ),
inference(resolution,[status(thm)],[f13839,f9717]) ).
fof(f13843,plain,
( icext(uri_ex_y,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(sK199_skl,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)) ),
inference(resolution,[status(thm)],[f13839,f9551]) ).
fof(f13848,plain,
icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f13842,f7411]) ).
fof(f13849,plain,
icext(uri_ex_y,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f13843,f7361]) ).
fof(f13852,plain,
( ~ icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(sK199_skl,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)) ),
inference(resolution,[status(thm)],[f13849,f7632]) ).
fof(f13855,plain,
icext(sK199_skl,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f13852,f13848]) ).
fof(f13876,plain,
! [X0] :
( ~ icext(sK199_skl,X0)
| icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[f1811,f2415]) ).
fof(f13968,plain,
icext(uri_ex_c,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)),
inference(resolution,[status(thm)],[f13876,f13855]) ).
fof(f13977,plain,
! [X0] :
( ~ icext(uri_ex_y,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(uri_ex_c)
| iext(uri_owl_intersectionOf,uri_ex_c,sK201_skl)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK201_skl,X0)
| ~ iext(uri_rdf_first,sK201_skl,uri_ex_x) ),
inference(resolution,[status(thm)],[f13968,f1127]) ).
fof(f13980,plain,
! [X0] :
( ~ icext(uri_ex_y,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(uri_ex_c)
| iext(uri_owl_intersectionOf,uri_ex_c,sK201_skl)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f13977,f2413]) ).
fof(f14125,plain,
! [X0] :
( ~ icext(uri_ex_y,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(uri_ex_c)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f13980,f6301]) ).
fof(f14126,plain,
! [X0] :
( ~ icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(uri_ex_c)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f14125,f13849]) ).
fof(f14127,plain,
! [X0] :
( ~ icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f14126,f4306]) ).
fof(f14143,plain,
! [X0] :
( ~ icext(uri_ex_x,sK3_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f14127,f6359]) ).
fof(f14144,plain,
! [X0] :
( ~ ic(uri_ex_y)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f14143,f13848]) ).
fof(f14145,plain,
! [X0] :
( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f14144,f6979]) ).
fof(f14146,plain,
( ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK200_skl,uri_ex_y) ),
inference(resolution,[status(thm)],[f14145,f2414]) ).
fof(f14147,plain,
~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil),
inference(forward_subsumption_resolution,[status(thm)],[f14146,f2410]) ).
fof(f14148,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f14147,f2411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB039+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 07:42:51 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 64.32/8.80 % Refutation found
% 64.32/8.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 64.32/8.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.89/8.87 % Elapsed time: 8.506036 seconds
% 20.89/8.87 % CPU time: 66.880284 seconds
% 20.89/8.87 % Total memory used: 311.495 MB
% 20.89/8.87 % Net memory used: 288.406 MB
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