%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB041+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 : n026.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 42.58s 11.09s
% Output : CNFRefutation 21.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 97 ( 14 unt; 0 def)
% Number of atoms : 528 ( 0 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 753 ( 322 ~; 348 |; 75 &)
% ( 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 : 203 ( 189 !; 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(f289,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_unionOf,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,
? [X0,X1] :
( iext(uri_owl_unionOf,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,
~ ? [X0,X1] :
( iext(uri_owl_unionOf,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,
? [X2,X1,X0] :
( iext(uri_owl_equivalentClass,uri_ex_c,X0)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_y)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_owl_unionOf,X0,X1) ),
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(f1169,plain,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_owl_unionOf,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)],[f289]) ).
fof(f1170,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_unionOf,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_unionOf,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)],[f1169]) ).
fof(f1171,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_unionOf,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_unionOf,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)],[f1170]) ).
fof(f1172,plain,
! [S1,C1,C2] :
( ( ! [Z] :
( ( ( icext(C2,sK7_skl(Z,C2,C1,S1))
| icext(C1,sK7_skl(Z,C2,C1,S1))
| icext(Z,sK7_skl(Z,C2,C1,S1)) )
& ( ( ~ icext(C2,sK7_skl(Z,C2,C1,S1))
& ~ icext(C1,sK7_skl(Z,C2,C1,S1)) )
| ~ icext(Z,sK7_skl(Z,C2,C1,S1)) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_unionOf,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_unionOf,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,[sK7_skl]),skolemize(X,sK7_skl(Z,C2,C1,S1))],[f1171]) ).
fof(f1174,plain,
! [X0,X1,X2,X3,X4] :
( ic(X1)
| ~ iext(uri_owl_unionOf,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)],[f1172]) ).
fof(f1175,plain,
! [X0,X1,X2,X3,X4] :
( ic(X3)
| ~ iext(uri_owl_unionOf,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)],[f1172]) ).
fof(f1176,plain,
! [X0,X1,X2,X3,X4,X5] :
( icext(X3,X5)
| icext(X1,X5)
| ~ icext(X4,X5)
| ~ iext(uri_owl_unionOf,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)],[f1172]) ).
fof(f1177,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ icext(X1,X5)
| icext(X4,X5)
| ~ iext(uri_owl_unionOf,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)],[f1172]) ).
fof(f1178,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ icext(X3,X5)
| icext(X4,X5)
| ~ iext(uri_owl_unionOf,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)],[f1172]) ).
fof(f1179,plain,
! [X0,X1,X2,X3,X4] :
( ~ icext(X1,sK7_skl(X4,X3,X1,X0))
| ~ icext(X4,sK7_skl(X4,X3,X1,X0))
| ~ ic(X3)
| ~ ic(X1)
| ~ ic(X4)
| iext(uri_owl_unionOf,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)],[f1172]) ).
fof(f1180,plain,
! [X0,X1,X2,X3,X4] :
( ~ icext(X3,sK7_skl(X4,X3,X1,X0))
| ~ icext(X4,sK7_skl(X4,X3,X1,X0))
| ~ ic(X3)
| ~ ic(X1)
| ~ ic(X4)
| iext(uri_owl_unionOf,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)],[f1172]) ).
fof(f1181,plain,
! [X0,X1,X2,X3,X4] :
( icext(X3,sK7_skl(X4,X3,X1,X0))
| icext(X1,sK7_skl(X4,X3,X1,X0))
| icext(X4,sK7_skl(X4,X3,X1,X0))
| ~ ic(X3)
| ~ ic(X1)
| ~ ic(X4)
| iext(uri_owl_unionOf,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)],[f1172]) ).
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,
! [X0,X1] :
( ~ iext(uri_owl_unionOf,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_unionOf,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_unionOf,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,
? [X0] :
( iext(uri_owl_equivalentClass,uri_ex_c,X0)
& ? [X2] :
( iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_y)
& ? [X1] :
( iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_owl_unionOf,X0,X1) ) ) ),
inference(miniscoping,[status(thm)],[f561]) ).
fof(f2409,plain,
( iext(uri_owl_equivalentClass,uri_ex_c,sK199_skl)
& iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK200_skl,uri_ex_y)
& iext(uri_rdf_rest,sK201_skl,sK200_skl)
& iext(uri_rdf_first,sK201_skl,uri_ex_x)
& iext(uri_owl_unionOf,sK199_skl,sK201_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl,sK201_skl]),skolemize(X0,sK199_skl),skolemize(X2,sK200_skl),skolemize(X1,sK201_skl)],[f2408]) ).
fof(f2410,plain,
iext(uri_owl_unionOf,sK199_skl,sK201_skl),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2411,plain,
iext(uri_rdf_first,sK201_skl,uri_ex_x),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2412,plain,
iext(uri_rdf_rest,sK201_skl,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2413,plain,
iext(uri_rdf_first,sK200_skl,uri_ex_y),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2414,plain,
iext(uri_rdf_rest,sK200_skl,uri_rdf_nil),
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_unionOf,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)],[f2413,f2407]) ).
fof(f2537,plain,
! [X0,X1,X2] :
( ic(X1)
| ~ iext(uri_owl_unionOf,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)],[f1174,f2413]) ).
fof(f2543,plain,
! [X0,X1,X2,X3] :
( icext(uri_ex_y,X3)
| icext(X1,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_unionOf,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)],[f1176,f2413]) ).
fof(f4305,plain,
ic(uri_ex_c),
inference(resolution,[status(thm)],[f933,f2415]) ).
fof(f5369,plain,
! [X0,X1,X2] :
( icext(uri_ex_y,sK7_skl(X2,uri_ex_y,X1,X0))
| icext(X1,sK7_skl(X2,uri_ex_y,X1,X0))
| icext(X2,sK7_skl(X2,uri_ex_y,X1,X0))
| ~ ic(uri_ex_y)
| ~ ic(X1)
| ~ ic(X2)
| iext(uri_owl_unionOf,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)],[f1181,f2413]) ).
fof(f5423,plain,
! [X0] :
( icext(uri_ex_y,sK7_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_x,sK7_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(X0,sK7_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(X0)
| iext(uri_owl_unionOf,X0,sK201_skl)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl) ),
inference(resolution,[status(thm)],[f5369,f2411]) ).
fof(f5825,plain,
! [X0,X1,X2,X3] :
( ~ icext(X2,X3)
| icext(sK199_skl,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK201_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f2410,f1178]) ).
fof(f5828,plain,
! [X0,X1,X2,X3] :
( ~ icext(X0,X3)
| icext(sK199_skl,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK201_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f2410,f1177]) ).
fof(f5834,plain,
! [X0,X1,X2] :
( ic(X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK201_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f2410,f1175]) ).
fof(f5860,plain,
! [X0] :
( icext(uri_ex_y,sK7_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_x,sK7_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(X0,sK7_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(X0)
| iext(uri_owl_unionOf,X0,sK201_skl)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil) ),
inference(backward_subsumption_resolution,[status(thm)],[f5423,f2412]) ).
fof(f5939,plain,
( ~ iext(uri_owl_unionOf,uri_ex_c,sK201_skl)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK201_skl,uri_ex_x) ),
inference(resolution,[status(thm)],[f2412,f2529]) ).
fof(f6025,plain,
( ~ iext(uri_owl_unionOf,uri_ex_c,sK201_skl)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f5939,f2411]) ).
fof(f6039,plain,
~ iext(uri_owl_unionOf,uri_ex_c,sK201_skl),
inference(backward_subsumption_resolution,[status(thm)],[f6025,f2414]) ).
fof(f6091,plain,
! [X0,X1,X2,X3] :
( icext(uri_ex_y,X3)
| icext(X1,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_unionOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2543,f2414]) ).
fof(f6096,plain,
! [X0,X1,X2] :
( ic(X1)
| ~ iext(uri_owl_unionOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2537,f2414]) ).
fof(f6395,plain,
! [X0] :
( ic(X0)
| ~ iext(uri_rdf_rest,sK201_skl,sK200_skl)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f6096,f2410]) ).
fof(f6396,plain,
! [X0] :
( ic(X0)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6395,f2412]) ).
fof(f6397,plain,
! [X0,X1,X2] :
( ~ icext(X1,X2)
| icext(sK199_skl,X2)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f5825,f2412]) ).
fof(f6399,plain,
! [X0,X1,X2] :
( ~ icext(X1,X2)
| icext(sK199_skl,X2)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6397,f2414]) ).
fof(f6401,plain,
ic(uri_ex_x),
inference(resolution,[status(thm)],[f6396,f2411]) ).
fof(f6438,plain,
! [X0,X1,X2] :
( ~ icext(X0,X2)
| icext(sK199_skl,X2)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f5828,f2412]) ).
fof(f6440,plain,
! [X0,X1,X2] :
( ~ icext(X0,X2)
| icext(sK199_skl,X2)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6438,f2414]) ).
fof(f6504,plain,
! [X0,X1] :
( ic(X1)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f5834,f2412]) ).
fof(f6506,plain,
! [X0,X1] :
( ic(X1)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6504,f2414]) ).
fof(f6636,plain,
! [X0] :
( ic(X0)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f6506,f2411]) ).
fof(f6637,plain,
ic(uri_ex_y),
inference(resolution,[status(thm)],[f6636,f2413]) ).
fof(f7005,plain,
! [X0,X1] :
( ~ icext(X0,X1)
| icext(sK199_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f6399,f2411]) ).
fof(f7006,plain,
! [X0] :
( ~ icext(uri_ex_y,X0)
| icext(sK199_skl,X0) ),
inference(resolution,[status(thm)],[f7005,f2413]) ).
fof(f7132,plain,
! [X0,X1] :
( ~ icext(uri_ex_x,X1)
| icext(sK199_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f6440,f2411]) ).
fof(f7133,plain,
! [X0] :
( ~ icext(uri_ex_x,X0)
| icext(sK199_skl,X0) ),
inference(resolution,[status(thm)],[f7132,f2413]) ).
fof(f7888,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)],[f6091,f2410]) ).
fof(f7889,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)],[f7888,f2412]) ).
fof(f7890,plain,
! [X0] :
( icext(uri_ex_y,X0)
| icext(uri_ex_x,X0)
| ~ icext(sK199_skl,X0) ),
inference(resolution,[status(thm)],[f7889,f2411]) ).
fof(f9252,plain,
! [X0] :
( icext(uri_ex_y,sK7_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_x,sK7_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| icext(X0,sK7_skl(X0,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| ~ ic(X0)
| iext(uri_owl_unionOf,X0,sK201_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f5860,f2414]) ).
fof(f9256,plain,
( icext(uri_ex_y,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_x,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_x)
| iext(uri_owl_unionOf,uri_ex_c,sK201_skl) ),
inference(resolution,[status(thm)],[f9252,f4305]) ).
fof(f9330,plain,
( icext(uri_ex_y,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_x,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK7_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)],[f9256,f6039]) ).
fof(f9398,plain,
( icext(uri_ex_y,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_x,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| ~ ic(uri_ex_y) ),
inference(forward_subsumption_resolution,[status(thm)],[f9330,f6401]) ).
fof(f9399,plain,
( icext(uri_ex_y,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_x,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_c,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)) ),
inference(resolution,[status(thm)],[f9398,f6637]) ).
fof(f13819,plain,
! [X0] :
( icext(sK199_skl,X0)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[f1810,f2415]) ).
fof(f13820,plain,
! [X0] :
( ~ icext(sK199_skl,X0)
| icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[f1811,f2415]) ).
fof(f13823,plain,
( icext(uri_ex_y,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_x,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(sK199_skl,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)) ),
inference(resolution,[status(thm)],[f13819,f9399]) ).
fof(f13828,plain,
( icext(uri_ex_y,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_x,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f13823,f7890]) ).
fof(f13829,plain,
( icext(sK199_skl,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl))
| icext(uri_ex_x,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)) ),
inference(resolution,[status(thm)],[f13828,f7006]) ).
fof(f13832,plain,
icext(sK199_skl,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f13829,f7133]) ).
fof(f13836,plain,
icext(uri_ex_c,sK7_skl(uri_ex_c,uri_ex_y,uri_ex_x,sK201_skl)),
inference(resolution,[status(thm)],[f13820,f13832]) ).
fof(f13859,plain,
! [X0] :
( ~ icext(uri_ex_y,sK7_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_unionOf,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)],[f13836,f1180]) ).
fof(f13860,plain,
! [X0] :
( ~ icext(uri_ex_x,sK7_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_unionOf,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)],[f13836,f1179]) ).
fof(f13863,plain,
! [X0] :
( ~ icext(uri_ex_y,sK7_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_unionOf,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)],[f13859,f2411]) ).
fof(f13864,plain,
! [X0] :
( ~ icext(uri_ex_x,sK7_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_unionOf,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)],[f13860,f2411]) ).
fof(f14124,plain,
! [X0] :
( ~ icext(uri_ex_y,sK7_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)],[f13863,f6039]) ).
fof(f14125,plain,
! [X0] :
( icext(uri_ex_x,sK7_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)],[f14124,f13828]) ).
fof(f14126,plain,
! [X0] :
( icext(uri_ex_x,sK7_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)],[f14125,f4305]) ).
fof(f14127,plain,
! [X0] :
( ~ icext(uri_ex_x,sK7_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)],[f13864,f6039]) ).
fof(f14250,plain,
! [X0] :
( ~ 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(backward_subsumption_resolution,[status(thm)],[f14127,f14251]) ).
fof(f14251,plain,
! [X0] :
( icext(uri_ex_x,sK7_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)],[f14126,f6401]) ).
fof(f14253,plain,
! [X0] :
( ~ 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)],[f14250,f4305]) ).
fof(f14257,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(forward_subsumption_resolution,[status(thm)],[f14253,f6401]) ).
fof(f14258,plain,
( ~ ic(uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK200_skl,uri_ex_y) ),
inference(resolution,[status(thm)],[f14257,f2412]) ).
fof(f14259,plain,
( ~ ic(uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f14258,f2413]) ).
fof(f14261,plain,
~ ic(uri_ex_y),
inference(forward_subsumption_resolution,[status(thm)],[f14259,f2414]) ).
fof(f14262,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6637,f14261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB041+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.58 % Computer : n026.cluster.edu
% 0.09/5.58 % Model : x86_64 x86_64
% 0.09/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.58 % Memory : 8046.5625MB
% 0.09/5.58 % OS : Linux 6.8.0-71-generic
% 0.09/5.58 % CPULimit : 300
% 0.09/5.58 % WCLimit : 300
% 0.09/5.58 % DateTime : Mon Sep 21 07:46:13 UTC 2026
% 0.09/5.58 % CPUTime :
% 0.15/5.63 % Drodi V4.1.1
% 42.58/11.09 % Refutation found
% 42.58/11.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 42.58/11.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.83/11.14 % Elapsed time: 5.542601 seconds
% 21.83/11.14 % CPU time: 43.501954 seconds
% 21.83/11.14 % Total memory used: 281.808 MB
% 21.83/11.14 % Net memory used: 264.410 MB
%------------------------------------------------------------------------------