%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB055+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 : n018.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 02:37:15 PM UTC 2026
% Result : Theorem 57.79s 12.83s
% Output : CNFRefutation 57.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 5
% Syntax : Number of formulae : 84 ( 15 unt; 0 def)
% Number of atoms : 423 ( 70 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 578 ( 239 ~; 266 |; 65 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-4 aty)
% Number of variables : 172 ( 158 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f202,axiom,
! [X,Y] :
( iext(uri_owl_equivalentClass,X,Y)
=> ( ic(Y)
& ic(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f296,axiom,
! [Z,S1,A1,S2,A2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,A2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,A1) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( X = A2
| X = A1 ) )
& ic(Z) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
? [X0,X1] :
( iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,X1)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ ? [X0,X1] :
( iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,X1)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_y) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X2,X1] :
( 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_equivalentClass,uri_ex_e,X0)
& iext(uri_owl_oneOf,X0,X1) ),
file('/export/starexec/sandbox/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(f1220,plain,
! [Z,S1,A1,S2,A2] :
( ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( X = A2
| X = A1 ) )
& ic(Z) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,A2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(pre_NNF_transformation,[status(thm)],[f296]) ).
fof(f1221,plain,
! [Z,S1,A1,S2,A2] :
( ( ( ? [X] :
( ( X = A2
| X = A1
| icext(Z,X) )
& ( ( X != A2
& X != A1 )
| ~ icext(Z,X) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ( ( ! [X] :
( ( ( X != A2
& X != A1 )
| icext(Z,X) )
& ( X = A2
| X = A1
| ~ icext(Z,X) ) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,A2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(NNF_transformation,[status(thm)],[f1220]) ).
fof(f1222,plain,
! [S1,A1,A2] :
( ( ! [Z] :
( ? [X] :
( ( X = A2
| X = A1
| icext(Z,X) )
& ( ( X != A2
& X != A1 )
| ~ icext(Z,X) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ( X != A2
& X != A1 )
| icext(Z,X) )
& ! [X] :
( X = A2
| X = A1
| ~ icext(Z,X) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,A2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,A1) ) ),
inference(miniscoping,[status(thm)],[f1221]) ).
fof(f1223,plain,
! [S1,A1,A2] :
( ( ! [Z] :
( ( ( sK11_skl(Z,A2,A1,S1) = A2
| sK11_skl(Z,A2,A1,S1) = A1
| icext(Z,sK11_skl(Z,A2,A1,S1)) )
& ( ( sK11_skl(Z,A2,A1,S1) != A2
& sK11_skl(Z,A2,A1,S1) != A1 )
| ~ icext(Z,sK11_skl(Z,A2,A1,S1)) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ( X != A2
& X != A1 )
| icext(Z,X) )
& ! [X] :
( X = A2
| X = A1
| ~ icext(Z,X) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,A2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,A1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(X,sK11_skl(Z,A2,A1,S1))],[f1222]) ).
fof(f1225,plain,
! [X0,X1,X2,X3,X4,X5] :
( X5 = X3
| X5 = X1
| ~ icext(X4,X5)
| ~ iext(uri_owl_oneOf,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)],[f1223]) ).
fof(f1226,plain,
! [X0,X1,X2,X3,X4,X5] :
( X5 != X1
| icext(X4,X5)
| ~ iext(uri_owl_oneOf,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)],[f1223]) ).
fof(f1227,plain,
! [X0,X1,X2,X3,X4,X5] :
( X5 != X3
| icext(X4,X5)
| ~ iext(uri_owl_oneOf,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)],[f1223]) ).
fof(f1228,plain,
! [X0,X1,X2,X3,X4] :
( sK11_skl(X4,X3,X1,X0) != X1
| ~ icext(X4,sK11_skl(X4,X3,X1,X0))
| ~ ic(X4)
| iext(uri_owl_oneOf,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)],[f1223]) ).
fof(f1229,plain,
! [X0,X1,X2,X3,X4] :
( sK11_skl(X4,X3,X1,X0) != X3
| ~ icext(X4,sK11_skl(X4,X3,X1,X0))
| ~ ic(X4)
| iext(uri_owl_oneOf,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)],[f1223]) ).
fof(f1230,plain,
! [X0,X1,X2,X3,X4] :
( sK11_skl(X4,X3,X1,X0) = X3
| sK11_skl(X4,X3,X1,X0) = X1
| icext(X4,sK11_skl(X4,X3,X1,X0))
| ~ ic(X4)
| iext(uri_owl_oneOf,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)],[f1223]) ).
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_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_owl_oneOf,uri_ex_e,X1)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y) ),
inference(pre_NNF_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
! [X0,X1] :
( ~ iext(uri_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_owl_oneOf,uri_ex_e,X1)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y) ),
inference(cnf_transformation,[status(thm)],[f2405]) ).
fof(f2407,plain,
? [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)
& ? [X0] :
( iext(uri_owl_equivalentClass,uri_ex_e,X0)
& iext(uri_owl_oneOf,X0,X1) ) ) ),
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_y)
& iext(uri_rdf_rest,sK200_skl,sK199_skl)
& iext(uri_rdf_first,sK200_skl,uri_ex_x)
& iext(uri_owl_equivalentClass,uri_ex_e,sK201_skl)
& iext(uri_owl_oneOf,sK201_skl,sK200_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl,sK201_skl]),skolemize(X2,sK199_skl),skolemize(X1,sK200_skl),skolemize(X0,sK201_skl)],[f2407]) ).
fof(f2409,plain,
iext(uri_owl_oneOf,sK201_skl,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2410,plain,
iext(uri_owl_equivalentClass,uri_ex_e,sK201_skl),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2411,plain,
iext(uri_rdf_first,sK200_skl,uri_ex_x),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2412,plain,
iext(uri_rdf_rest,sK200_skl,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2413,plain,
iext(uri_rdf_first,sK199_skl,uri_ex_y),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2414,plain,
iext(uri_rdf_rest,sK199_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2512,plain,
! [X0,X1,X2,X3,X4] :
( icext(X4,X1)
| ~ iext(uri_owl_oneOf,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(destructive_equality_resolution,[status(thm)],[f1226]) ).
fof(f2513,plain,
! [X0,X1,X2,X3,X4] :
( icext(X4,X3)
| ~ iext(uri_owl_oneOf,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(destructive_equality_resolution,[status(thm)],[f1227]) ).
fof(f2528,plain,
! [X0] :
( ~ iext(uri_rdf_rest,sK200_skl,X0)
| ~ iext(uri_owl_oneOf,uri_ex_e,sK200_skl)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y) ),
inference(resolution,[status(thm)],[f2411,f2406]) ).
fof(f4229,plain,
ic(uri_ex_e),
inference(resolution,[status(thm)],[f933,f2410]) ).
fof(f5688,plain,
! [X0,X1,X2] :
( sK11_skl(X2,uri_ex_y,X1,X0) = uri_ex_y
| sK11_skl(X2,uri_ex_y,X1,X0) = X1
| icext(X2,sK11_skl(X2,uri_ex_y,X1,X0))
| ~ ic(X2)
| iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK199_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f1230,f2413]) ).
fof(f5733,plain,
! [X0] :
( sK11_skl(X0,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| sK11_skl(X0,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_x
| icext(X0,sK11_skl(X0,uri_ex_y,uri_ex_x,sK200_skl))
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,sK200_skl)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK200_skl,sK199_skl) ),
inference(resolution,[status(thm)],[f5688,f2411]) ).
fof(f5796,plain,
! [X0,X1,X2] :
( icext(sK201_skl,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f2409,f2513]) ).
fof(f5797,plain,
! [X0,X1,X2] :
( icext(sK201_skl,X0)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f2409,f2512]) ).
fof(f5799,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| X3 = X0
| ~ icext(sK201_skl,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f2409,f1225]) ).
fof(f5817,plain,
! [X0] :
( sK11_skl(X0,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| sK11_skl(X0,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_x
| icext(X0,sK11_skl(X0,uri_ex_y,uri_ex_x,sK200_skl))
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,sK200_skl)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil) ),
inference(backward_subsumption_resolution,[status(thm)],[f5733,f2412]) ).
fof(f5847,plain,
( ~ iext(uri_owl_oneOf,uri_ex_e,sK200_skl)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK199_skl,uri_ex_y) ),
inference(resolution,[status(thm)],[f2412,f2528]) ).
fof(f5982,plain,
( ~ iext(uri_owl_oneOf,uri_ex_e,sK200_skl)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f5847,f2413]) ).
fof(f6249,plain,
~ iext(uri_owl_oneOf,uri_ex_e,sK200_skl),
inference(forward_subsumption_resolution,[status(thm)],[f5982,f2414]) ).
fof(f6297,plain,
! [X0,X1] :
( icext(sK201_skl,X1)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f5796,f2412]) ).
fof(f6299,plain,
! [X0,X1] :
( icext(sK201_skl,X1)
| ~ iext(uri_rdf_first,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6297,f2414]) ).
fof(f6301,plain,
! [X0] :
( icext(sK201_skl,X0)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f6299,f2411]) ).
fof(f6302,plain,
icext(sK201_skl,uri_ex_y),
inference(resolution,[status(thm)],[f6301,f2413]) ).
fof(f6305,plain,
! [X0,X1] :
( icext(sK201_skl,X0)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f5797,f2412]) ).
fof(f6307,plain,
! [X0,X1] :
( icext(sK201_skl,X0)
| ~ iext(uri_rdf_first,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6305,f2414]) ).
fof(f6350,plain,
! [X0,X1,X2] :
( X2 = X1
| X2 = X0
| ~ icext(sK201_skl,X2)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f5799,f2412]) ).
fof(f6352,plain,
! [X0,X1,X2] :
( X2 = X1
| X2 = X0
| ~ icext(sK201_skl,X2)
| ~ iext(uri_rdf_first,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6350,f2414]) ).
fof(f6354,plain,
! [X0] :
( icext(sK201_skl,uri_ex_x)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f6307,f2411]) ).
fof(f6355,plain,
icext(sK201_skl,uri_ex_x),
inference(resolution,[status(thm)],[f6354,f2413]) ).
fof(f6534,plain,
! [X0,X1] :
( X1 = X0
| X1 = uri_ex_x
| ~ icext(sK201_skl,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f6352,f2411]) ).
fof(f6535,plain,
! [X0] :
( X0 = uri_ex_y
| X0 = uri_ex_x
| ~ icext(sK201_skl,X0) ),
inference(resolution,[status(thm)],[f6534,f2413]) ).
fof(f8387,plain,
! [X0] :
( sK11_skl(X0,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| sK11_skl(X0,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_x
| icext(X0,sK11_skl(X0,uri_ex_y,uri_ex_x,sK200_skl))
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,sK200_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f5817,f2414]) ).
fof(f8389,plain,
( sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_x
| icext(uri_ex_e,sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl))
| iext(uri_owl_oneOf,uri_ex_e,sK200_skl) ),
inference(resolution,[status(thm)],[f8387,f4229]) ).
fof(f8459,plain,
( sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_x
| icext(uri_ex_e,sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f8389,f6249]) ).
fof(f13536,plain,
! [X0] :
( icext(sK201_skl,X0)
| ~ icext(uri_ex_e,X0) ),
inference(resolution,[status(thm)],[f1810,f2410]) ).
fof(f13537,plain,
! [X0] :
( ~ icext(sK201_skl,X0)
| icext(uri_ex_e,X0) ),
inference(resolution,[status(thm)],[f1811,f2410]) ).
fof(f13543,plain,
( sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_x
| icext(sK201_skl,sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl)) ),
inference(resolution,[status(thm)],[f13536,f8459]) ).
fof(f13547,plain,
( sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_x ),
inference(forward_subsumption_resolution,[status(thm)],[f13543,f6535]) ).
fof(f13548,plain,
! [X0] :
( ~ icext(uri_ex_e,sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl))
| ~ ic(uri_ex_e)
| iext(uri_owl_oneOf,uri_ex_e,sK200_skl)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,X0)
| ~ iext(uri_rdf_first,sK200_skl,uri_ex_x)
| sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y ),
inference(resolution,[status(thm)],[f13547,f1228]) ).
fof(f13552,plain,
! [X0] :
( ~ icext(uri_ex_e,sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl))
| ~ ic(uri_ex_e)
| iext(uri_owl_oneOf,uri_ex_e,sK200_skl)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,X0)
| ~ iext(uri_rdf_first,sK200_skl,uri_ex_x) ),
inference(forward_subsumption_resolution,[status(thm)],[f13548,f1229]) ).
fof(f13556,plain,
! [X0] :
( ~ icext(uri_ex_e,sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl))
| ~ ic(uri_ex_e)
| iext(uri_owl_oneOf,uri_ex_e,sK200_skl)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f13552,f2411]) ).
fof(f13557,plain,
! [X0] :
( sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| ~ icext(uri_ex_e,uri_ex_x)
| ~ ic(uri_ex_e)
| iext(uri_owl_oneOf,uri_ex_e,sK200_skl)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,X0) ),
inference(paramodulation,[status(thm)],[f13547,f13556]) ).
fof(f13558,plain,
! [X0] :
( sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| ~ icext(uri_ex_e,uri_ex_x)
| ~ ic(uri_ex_e)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f13557,f6249]) ).
fof(f13632,plain,
icext(uri_ex_e,uri_ex_x),
inference(resolution,[status(thm)],[f13537,f6355]) ).
fof(f13633,plain,
icext(uri_ex_e,uri_ex_y),
inference(resolution,[status(thm)],[f13537,f6302]) ).
fof(f13726,plain,
! [X0] :
( sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| ~ icext(uri_ex_e,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f13558,f4229]) ).
fof(f13727,plain,
( sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| ~ icext(uri_ex_e,uri_ex_x)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK199_skl,uri_ex_y) ),
inference(resolution,[status(thm)],[f13726,f2412]) ).
fof(f13728,plain,
( sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| ~ icext(uri_ex_e,uri_ex_x)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f13727,f2413]) ).
fof(f13758,plain,
( sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y
| ~ icext(uri_ex_e,uri_ex_x) ),
inference(forward_subsumption_resolution,[status(thm)],[f13728,f2414]) ).
fof(f13759,plain,
sK11_skl(uri_ex_e,uri_ex_y,uri_ex_x,sK200_skl) = uri_ex_y,
inference(resolution,[status(thm)],[f13758,f13632]) ).
fof(f13762,plain,
! [X0] :
( ~ icext(uri_ex_e,uri_ex_y)
| ~ ic(uri_ex_e)
| iext(uri_owl_oneOf,uri_ex_e,sK200_skl)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,X0) ),
inference(backward_demodulation,[status(thm)],[f13759,f13556]) ).
fof(f13767,plain,
! [X0] :
( ~ icext(uri_ex_e,uri_ex_y)
| ~ ic(uri_ex_e)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f13762,f6249]) ).
fof(f13895,plain,
! [X0] :
( ~ icext(uri_ex_e,uri_ex_y)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,sK200_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f13767,f4229]) ).
fof(f13896,plain,
( ~ icext(uri_ex_e,uri_ex_y)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK199_skl,uri_ex_y) ),
inference(resolution,[status(thm)],[f13895,f2412]) ).
fof(f13897,plain,
( ~ icext(uri_ex_e,uri_ex_y)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f13896,f2413]) ).
fof(f13899,plain,
~ icext(uri_ex_e,uri_ex_y),
inference(forward_subsumption_resolution,[status(thm)],[f13897,f2414]) ).
fof(f13900,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f13633,f13899]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB055+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.43 % Computer : n018.cluster.edu
% 0.14/5.43 % Model : x86_64 x86_64
% 0.14/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.43 % Memory : 8046.5625MB
% 0.14/5.43 % OS : Linux 6.8.0-71-generic
% 0.14/5.43 % CPULimit : 300
% 0.14/5.43 % WCLimit : 300
% 0.14/5.43 % DateTime : Mon Sep 21 07:46:18 UTC 2026
% 0.14/5.43 % CPUTime :
% 0.20/5.50 % Drodi V4.1.1
% 57.79/12.83 % Refutation found
% 57.79/12.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 57.79/12.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 57.79/12.89 % Elapsed time: 7.444615 seconds
% 57.79/12.89 % CPU time: 58.271400 seconds
% 57.79/12.89 % Total memory used: 311.941 MB
% 57.79/12.89 % Net memory used: 294.379 MB
%------------------------------------------------------------------------------