%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 13 unt; 2 def)
% Number of atoms : 207 ( 40 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 235 ( 84 ~; 85 |; 54 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-3 aty)
% Number of variables : 102 ( 90 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,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(f3,axiom,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ! [X,Y1,Y2] :
( ( iext(P,X,Y2)
& iext(P,X,Y1) )
=> Y1 = Y2 )
& ip(P) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,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(f6,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)],[f5]) ).
fof(f7,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(f8,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)],[f1]) ).
fof(f9,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)],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,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)],[f2]) ).
fof(f13,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)],[f12]) ).
fof(f14,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)],[f13]) ).
fof(f15,plain,
! [S1,A1] :
( ( ! [Z] :
( ( ( sK0_skl(Z,A1,S1) = A1
| icext(Z,sK0_skl(Z,A1,S1)) )
& ( sK0_skl(Z,A1,S1) != A1
| ~ icext(Z,sK0_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,[sK0_skl]),skolemize(X,sK0_skl(Z,A1,S1))],[f14]) ).
fof(f17,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)],[f15]) ).
fof(f21,plain,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) )
& ip(P) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
! [P] :
( ( ? [X,Y1,Y2] :
( Y1 != Y2
& iext(P,X,Y2)
& iext(P,X,Y1) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ( ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
( ! [P] :
( ? [Y1,Y2] :
( Y1 != Y2
& ? [X] :
( iext(P,X,Y2)
& iext(P,X,Y1) ) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ! [P] :
( ( ! [Y1,Y2] :
( Y1 = Y2
| ! [X] :
( ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) ) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f24,plain,
( ! [P] :
( ( sK1_skl(P) != sK2_skl(P)
& iext(P,sK3_skl(P),sK2_skl(P))
& iext(P,sK3_skl(P),sK1_skl(P)) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ! [P] :
( ( ! [Y1,Y2] :
( Y1 = Y2
| ! [X] :
( ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) ) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(Y1,sK1_skl(P)),skolemize(Y2,sK2_skl(P)),skolemize(X,sK3_skl(P))],[f23]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ icext(uri_owl_FunctionalProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f30,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f31,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)],[f30]) ).
fof(f33,plain,
! [X0,X1] :
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,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)],[f6]) ).
fof(f35,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)],[f34]) ).
fof(f36,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)],[f7]) ).
fof(f37,plain,
( iext(uri_rdf_rest,sK4_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK4_skl,uri_ex_v)
& iext(uri_rdf_first,sK4_skl,uri_ex_u)
& iext(uri_owl_oneOf,sK5_skl,sK4_skl)
& iext(uri_rdf_type,sK5_skl,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK5_skl)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(BNODE_l,sK4_skl),skolemize(BNODE_o,sK5_skl)],[f36]) ).
fof(f38,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
iext(uri_rdf_type,uri_ex_w,sK5_skl),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f41,plain,
iext(uri_owl_oneOf,sK5_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f42,plain,
iext(uri_rdf_first,sK4_skl,uri_ex_u),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f43,plain,
iext(uri_rdf_first,sK4_skl,uri_ex_v),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f44,plain,
iext(uri_rdf_rest,sK4_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f45,definition,
( sQ0_spl
<=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( sQ0_spl
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f48,definition,
( sQ1_spl
<=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f50,plain,
( sQ1_spl
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(component_clause,[status(thm)],[f48]) ).
fof(f51,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f35,f45,f48]) ).
fof(f53,plain,
! [X0] : iext(uri_owl_sameAs,X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f33]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_type,X0,uri_owl_FunctionalProperty)
| X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2) ),
inference(resolution,[status(thm)],[f26,f10]) ).
fof(f58,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f55,f38]) ).
fof(f60,plain,
! [X0] :
( X0 = uri_ex_v
| ~ iext(uri_rdf_first,sK4_skl,X0) ),
inference(resolution,[status(thm)],[f58,f43]) ).
fof(f63,plain,
uri_ex_u = uri_ex_v,
inference(resolution,[status(thm)],[f60,f42]) ).
fof(f66,plain,
! [X0,X1,X2] :
( X2 = X0
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,sK4_skl)
| ~ iext(uri_rdf_first,sK4_skl,X0) ),
inference(resolution,[status(thm)],[f17,f44]) ).
fof(f71,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(sK5_skl,X1)
| ~ iext(uri_rdf_first,sK4_skl,X0) ),
inference(resolution,[status(thm)],[f66,f41]) ).
fof(f72,plain,
! [X0] :
( X0 = uri_ex_u
| ~ icext(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f71,f42]) ).
fof(f74,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,sK5_skl)
| X0 = uri_ex_u ),
inference(resolution,[status(thm)],[f72,f10]) ).
fof(f75,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[status(thm)],[f74,f39]) ).
fof(f80,plain,
uri_ex_w = uri_ex_v,
inference(backward_demodulation,[status(thm)],[f75,f63]) ).
fof(f82,plain,
( sQ0_spl
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w) ),
inference(backward_demodulation,[status(thm)],[f75,f47]) ).
fof(f83,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f53]) ).
fof(f84,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f83]) ).
fof(f88,plain,
( sQ1_spl
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w) ),
inference(backward_demodulation,[status(thm)],[f80,f50]) ).
fof(f89,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f53]) ).
fof(f90,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f89]) ).
fof(f91,plain,
$false,
inference(sat_refutation,[status(thm)],[f51,f84,f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 07:46:30 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.47 % Refutation found
% 0.17/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.55 % Elapsed time: 0.105431 seconds
% 0.17/0.55 % CPU time: 0.098161 seconds
% 0.17/0.55 % Total memory used: 2.561 MB
% 0.17/0.55 % Net memory used: 2.556 MB
%------------------------------------------------------------------------------