%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB014+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n009.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 : Fri Sep 25 03:03:45 PM UTC 2026
% Result : Theorem 2.56s 0.78s
% Output : Proof 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 185 ( 64 ~; 68 |; 49 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-5 aty)
% Number of variables : 58 ( 0 sgn 26 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
fof(f1_nnf,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)],[f1]) ).
fof(f1_sk,plain,
! [S1,C1,S2,C2,Z,X] :
( ( ( ( ( icext(C2,sk0(Z,S1,C1,S2,C2))
| icext(C1,sk0(Z,S1,C1,S2,C2)) )
& ~ icext(Z,sk0(Z,S1,C1,S2,C2)) )
| ( ~ icext(C2,sk0(Z,S1,C1,S2,C2))
& ~ icext(C1,sk0(Z,S1,C1,S2,C2))
& icext(Z,sk0(Z,S1,C1,S2,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,S1) )
& ( ( ( ( ~ 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(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f1_nnf]) ).
cnf(c5,plain,
( icext(X4,X5)
| icext(X2,X5)
| ~ icext(X0,X5)
| ~ iext(uri_owl_unionOf,X0,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f3,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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).
fof(f3_nnf,plain,
? [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) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( iext(uri_rdf_rest,sk3,uri_rdf_nil)
& iext(uri_rdf_first,sk3,uri_ex_Falcon)
& iext(uri_rdf_rest,sk2,sk3)
& iext(uri_rdf_first,sk2,uri_ex_Eagle)
& iext(uri_owl_unionOf,sk1,sk2)
& iext(uri_rdf_type,uri_ex_harry,sk1)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3])],[f3_nnf]) ).
cnf(c19,plain,
iext(uri_rdf_first,sk2,uri_ex_Eagle),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p48,plain,
( icext(X1,X3)
| icext(uri_ex_Eagle,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_unionOf,X2,sk2)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk2,X0) ),
inference(resolution,[status(thm)],[c5,c19]) ).
cnf(c20,plain,
iext(uri_rdf_rest,sk2,sk3),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p115,plain,
( icext(X0,X2)
| icext(uri_ex_Eagle,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X1,sk2)
| ~ iext(uri_rdf_rest,sk3,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk3,X0) ),
inference(resolution,[status(thm)],[p48,c20]) ).
cnf(c21,plain,
iext(uri_rdf_first,sk3,uri_ex_Falcon),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p116,plain,
( icext(uri_ex_Falcon,X1)
| icext(uri_ex_Eagle,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_unionOf,X0,sk2)
| ~ iext(uri_rdf_rest,sk3,uri_rdf_nil) ),
inference(resolution,[status(thm)],[p115,c21]) ).
cnf(c22,plain,
iext(uri_rdf_rest,sk3,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p117,plain,
( icext(uri_ex_Falcon,X1)
| icext(uri_ex_Eagle,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_unionOf,X0,sk2) ),
inference(resolution,[status(thm)],[p116,c22]) ).
cnf(c18,plain,
iext(uri_owl_unionOf,sk1,sk2),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p118,plain,
( icext(uri_ex_Falcon,X0)
| icext(uri_ex_Eagle,X0)
| ~ icext(sk1,X0) ),
inference(resolution,[status(thm)],[p117,c18]) ).
fof(f0,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f0_nnf,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)],[f0]) ).
fof(f0_sk,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c17,plain,
iext(uri_rdf_type,uri_ex_harry,sk1),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p26,plain,
icext(sk1,uri_ex_harry),
inference(resolution,[status(thm)],[c0,c17]) ).
cnf(p120,plain,
( icext(uri_ex_Falcon,uri_ex_harry)
| icext(uri_ex_Eagle,uri_ex_harry) ),
inference(resolution,[status(thm)],[p118,p26]) ).
cnf(c1,plain,
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p121,plain,
( iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon)
| icext(uri_ex_Eagle,uri_ex_harry) ),
inference(resolution,[status(thm)],[p120,c1]) ).
fof(f2,conjecture,
? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).
fof(f2_neg,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)],[f2]) ).
fof(f2_nnf,plain,
! [BNODE_x] :
( ~ iext(uri_rdf_type,BNODE_x,uri_ex_Species)
| ~ iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
inference(nnf_transformation,[status(thm)],[f2_neg]) ).
fof(f2_sk,plain,
! [BNODE_x] :
( ~ iext(uri_rdf_type,BNODE_x,uri_ex_Species)
| ~ iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c14,plain,
( ~ iext(uri_rdf_type,X0,uri_ex_Species)
| ~ iext(uri_rdf_type,uri_ex_harry,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p122,plain,
( ~ iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
| icext(uri_ex_Eagle,uri_ex_harry) ),
inference(resolution,[status(thm)],[p121,c14]) ).
cnf(c16,plain,
iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p123,plain,
icext(uri_ex_Eagle,uri_ex_harry),
inference(resolution,[status(thm)],[p122,c16]) ).
cnf(p129,plain,
iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
inference(resolution,[status(thm)],[p123,c1]) ).
cnf(p130,plain,
~ iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
inference(resolution,[status(thm)],[p129,c14]) ).
cnf(c15,plain,
iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p131,plain,
$false,
inference(resolution,[status(thm)],[p130,c15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB014+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.35 % Computer : n009.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 15:26:43 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.56/0.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/0.78 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------