%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB014+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 : n005.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 02:37:05 PM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 11 unt; 2 def)
% Number of atoms : 211 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 255 ( 91 ~; 98 |; 58 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 80 ( 70 !; 10 ?)
% 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,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(f3,conjecture,
? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,axiom,
? [BNODE_u,BNODE_l1,BNODE_l2] :
( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,uri_ex_Falcon)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_Eagle)
& iext(uri_owl_unionOf,BNODE_u,BNODE_l1)
& iext(uri_rdf_type,uri_ex_harry,BNODE_u)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,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(f7,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)],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f10,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)],[f2]) ).
fof(f11,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)],[f10]) ).
fof(f12,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)],[f11]) ).
fof(f13,plain,
! [S1,C1,C2] :
( ( ! [Z] :
( ( ( icext(C2,sK0_skl(Z,C2,C1,S1))
| icext(C1,sK0_skl(Z,C2,C1,S1))
| icext(Z,sK0_skl(Z,C2,C1,S1)) )
& ( ( ~ icext(C2,sK0_skl(Z,C2,C1,S1))
& ~ icext(C1,sK0_skl(Z,C2,C1,S1)) )
| ~ icext(Z,sK0_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,[sK0_skl]),skolemize(X,sK0_skl(Z,C2,C1,S1))],[f12]) ).
fof(f17,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)],[f13]) ).
fof(f23,plain,
! [BNODE_x] :
( ~ iext(uri_rdf_type,BNODE_x,uri_ex_Species)
| ~ iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_Species)
| ~ iext(uri_rdf_type,uri_ex_harry,X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
? [BNODE_l2] :
( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,uri_ex_Falcon)
& ? [BNODE_l1] :
( iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_Eagle)
& ? [BNODE_u] :
( iext(uri_owl_unionOf,BNODE_u,BNODE_l1)
& iext(uri_rdf_type,uri_ex_harry,BNODE_u)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f26,plain,
( iext(uri_rdf_rest,sK1_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK1_skl,uri_ex_Falcon)
& iext(uri_rdf_rest,sK2_skl,sK1_skl)
& iext(uri_rdf_first,sK2_skl,uri_ex_Eagle)
& iext(uri_owl_unionOf,sK3_skl,sK2_skl)
& iext(uri_rdf_type,uri_ex_harry,sK3_skl)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(BNODE_l2,sK1_skl),skolemize(BNODE_l1,sK2_skl),skolemize(BNODE_u,sK3_skl)],[f25]) ).
fof(f27,plain,
iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f29,plain,
iext(uri_rdf_type,uri_ex_harry,sK3_skl),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f30,plain,
iext(uri_owl_unionOf,sK3_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f31,plain,
iext(uri_rdf_first,sK2_skl,uri_ex_Eagle),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f32,plain,
iext(uri_rdf_rest,sK2_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f33,plain,
iext(uri_rdf_first,sK1_skl,uri_ex_Falcon),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f34,plain,
iext(uri_rdf_rest,sK1_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4] :
( icext(X2,X4)
| icext(X1,X4)
| ~ icext(X3,X4)
| ~ iext(uri_owl_unionOf,X3,X0)
| ~ iext(uri_rdf_first,sK1_skl,X2)
| ~ iext(uri_rdf_rest,X0,sK1_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f17,f34]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| icext(X0,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_unionOf,X2,sK2_skl)
| ~ iext(uri_rdf_first,sK1_skl,X1)
| ~ iext(uri_rdf_first,sK2_skl,X0) ),
inference(resolution,[status(thm)],[f62,f32]) ).
fof(f69,plain,
! [X0,X1,X2] :
( icext(X0,X2)
| icext(uri_ex_Eagle,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X1,sK2_skl)
| ~ iext(uri_rdf_first,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f67,f31]) ).
fof(f70,plain,
! [X0,X1] :
( icext(uri_ex_Falcon,X1)
| icext(uri_ex_Eagle,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_unionOf,X0,sK2_skl) ),
inference(resolution,[status(thm)],[f69,f33]) ).
fof(f71,plain,
! [X0] :
( icext(uri_ex_Falcon,X0)
| icext(uri_ex_Eagle,X0)
| ~ icext(sK3_skl,X0) ),
inference(resolution,[status(thm)],[f70,f30]) ).
fof(f72,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,sK3_skl)
| icext(uri_ex_Falcon,X0)
| icext(uri_ex_Eagle,X0) ),
inference(resolution,[status(thm)],[f71,f8]) ).
fof(f73,plain,
( icext(uri_ex_Falcon,uri_ex_harry)
| icext(uri_ex_Eagle,uri_ex_harry) ),
inference(resolution,[status(thm)],[f72,f29]) ).
fof(f74,definition,
( sQ4_spl
<=> icext(uri_ex_Eagle,uri_ex_harry) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f75,plain,
( ~ sQ4_spl
| icext(uri_ex_Eagle,uri_ex_harry) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,definition,
( sQ5_spl
<=> icext(uri_ex_Falcon,uri_ex_harry) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ5_spl
| icext(uri_ex_Falcon,uri_ex_harry) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f73,f74,f77]) ).
fof(f82,plain,
( ~ sQ4_spl
| iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle) ),
inference(resolution,[status(thm)],[f75,f9]) ).
fof(f83,plain,
( ~ sQ4_spl
| ~ iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ),
inference(resolution,[status(thm)],[f82,f24]) ).
fof(f85,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f27]) ).
fof(f86,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( ~ sQ5_spl
| iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon) ),
inference(resolution,[status(thm)],[f78,f9]) ).
fof(f93,plain,
( ~ sQ5_spl
| ~ iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species) ),
inference(resolution,[status(thm)],[f88,f24]) ).
fof(f95,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f93,f28]) ).
fof(f96,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f95]) ).
fof(f97,plain,
$false,
inference(sat_refutation,[status(thm)],[f80,f86,f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB014+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 07:38:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.031605 seconds
% 0.12/0.39 % CPU time: 0.070167 seconds
% 0.12/0.39 % Total memory used: 4.214 MB
% 0.12/0.39 % Net memory used: 4.167 MB
%------------------------------------------------------------------------------