%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB014+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 : Sun Sep 27 08:51:30 AM UTC 2026
% Result : Theorem 18.20s 12.73s
% Output : CNFRefutation 18.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 94 ( 28 ~; 33 |; 29 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 39 ( 0 sgn 8 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_bool_unionof_class_002,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('theBenchmark.p',owl_bool_unionof_class_002) ).
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(testcase_premise_fullish_014_Harry_belongs_to_some_Species,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('theBenchmark.p',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).
fof(testcase_conclusion_fullish_014_Harry_belongs_to_some_Species,conjecture,
? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
file('theBenchmark.p',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).
fof(testcase_conclusion_fullish_014_Harry_belongs_to_some_Species_neg,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_014_Harry_belongs_to_some_Species]) ).
cnf(c_230,plain,
( icext(D,F)
| icext(B,F)
| ~ icext(E,F)
| ~ iext(uri_owl_unionOf,E,A)
| ~ iext(uri_rdf_rest,C,uri_rdf_nil)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(uri_rdf_rest,A,C)
| ~ iext(uri_rdf_first,A,B) ),
inference(clausify,[status(thm)],[owl_bool_unionof_class_002]) ).
cnf(c_285,plain,
( icext(B,A)
| ~ iext(uri_rdf_type,A,B) ),
inference(clausify,[status(thm)],[rdfs_cext_def]) ).
cnf(c_286,plain,
( ~ icext(B,A)
| iext(uri_rdf_type,A,B) ),
inference(clausify,[status(thm)],[rdfs_cext_def]) ).
fof(nnf_34,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(fof_nnf,[status(thm)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).
fof(sk_testcase_premise_fullish_014_Harry_belongs_to_some_Species,plain,
( iext(uri_rdf_rest,sK2,uri_rdf_nil)
& iext(uri_rdf_first,sK2,uri_ex_Falcon)
& iext(uri_rdf_rest,sK1,sK2)
& iext(uri_rdf_first,sK1,uri_ex_Eagle)
& iext(uri_owl_unionOf,sK0,sK1)
& iext(uri_rdf_type,uri_ex_harry,sK0)
& 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,[sK0,sK1,sK2]),skolemize(BNODE_u,sK0),skolemize(BNODE_l1,sK1),skolemize(BNODE_l2,sK2)],[nnf_34]) ).
cnf(c_309,plain,
iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).
cnf(c_310,plain,
iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).
cnf(c_311,plain,
iext(uri_rdf_type,uri_ex_harry,sK0),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).
cnf(c_312,plain,
iext(uri_owl_unionOf,sK0,sK1),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).
cnf(c_313,plain,
iext(uri_rdf_first,sK1,uri_ex_Eagle),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).
cnf(c_314,plain,
iext(uri_rdf_rest,sK1,sK2),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).
cnf(c_315,plain,
iext(uri_rdf_first,sK2,uri_ex_Falcon),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).
cnf(c_316,plain,
iext(uri_rdf_rest,sK2,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).
cnf(c_317,negated_conjecture,
( ~ iext(uri_rdf_type,A,uri_ex_Species)
| ~ iext(uri_rdf_type,uri_ex_harry,A) ),
inference(clausify,[status(thm)],[testcase_conclusion_fullish_014_Harry_belongs_to_some_Species_neg]) ).
cnf(c_893,plain,
~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
inference(resolve,[status(thm)],[c_309,c_317]) ).
cnf(c_901,plain,
~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon),
inference(resolve,[status(thm)],[c_310,c_317]) ).
cnf(c_1310,plain,
icext(sK0,uri_ex_harry),
inference(resolve,[status(thm)],[c_285,c_311]) ).
cnf(c_3296,plain,
( icext(B,D)
| icext(uri_ex_Eagle,D)
| ~ icext(C,D)
| ~ iext(uri_owl_unionOf,C,sK1)
| ~ iext(uri_rdf_rest,A,uri_rdf_nil)
| ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,sK1,A) ),
inference(resolve,[status(thm)],[c_230,c_313]) ).
cnf(c_3297,plain,
( icext(A,C)
| icext(uri_ex_Eagle,C)
| ~ icext(B,C)
| ~ iext(uri_owl_unionOf,B,sK1)
| ~ iext(uri_rdf_rest,sK2,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK2,A) ),
inference(resolve,[status(thm)],[c_3296,c_314]) ).
cnf(c_3298,plain,
( icext(uri_ex_Falcon,B)
| icext(uri_ex_Eagle,B)
| ~ icext(A,B)
| ~ iext(uri_owl_unionOf,A,sK1)
| ~ iext(uri_rdf_rest,sK2,uri_rdf_nil) ),
inference(resolve,[status(thm)],[c_3297,c_315]) ).
cnf(c_3299,plain,
( icext(uri_ex_Falcon,B)
| icext(uri_ex_Eagle,B)
| ~ icext(A,B)
| ~ iext(uri_owl_unionOf,A,sK1) ),
inference(resolve,[status(thm)],[c_3298,c_316]) ).
cnf(c_3300,plain,
( icext(uri_ex_Falcon,A)
| icext(uri_ex_Eagle,A)
| ~ icext(sK0,A) ),
inference(resolve,[status(thm)],[c_3299,c_312]) ).
cnf(c_3287,plain,
( icext(uri_ex_Falcon,uri_ex_harry)
| icext(uri_ex_Eagle,uri_ex_harry) ),
inference(resolve,[status(thm)],[c_3300,c_1310]) ).
cnf(c_3301,plain,
( iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon)
| icext(uri_ex_Eagle,uri_ex_harry) ),
inference(resolve,[status(thm)],[c_3287,c_286]) ).
cnf(c_3294,plain,
icext(uri_ex_Eagle,uri_ex_harry),
inference(resolve,[status(thm)],[c_901,c_3301]) ).
cnf(c_3302,plain,
iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
inference(resolve,[status(thm)],[c_3294,c_286]) ).
cnf(c_3295,plain,
$false,
inference(resolve,[status(thm)],[c_893,c_3302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB014+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.38 % Computer : n014.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Sat Sep 26 11:44:28 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/10.38 % Process 3070588 was started by sandbox2 on n014,
% 0.11/10.38 % Sat Sep 26 11:44:28 2026
% 0.11/10.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/10.41
% 0.14/10.41 % From the command line: assign(max_seconds, 300).
% 0.14/10.41
% 0.14/10.41 % SInE: 54 to sos, 85 to usable, of 139 axioms (tolerance 2.00, depth 0 fixpoint).
% 18.20/12.73
% 18.20/12.73 % SZS status Theorem for theBenchmark
% 18.20/12.73
% 18.20/12.73 % Proof 1 at 2.02 (+ 0.19) seconds.
% 18.20/12.73 % Length of proof is 22.
% 18.20/12.73 % Level of proof is 5.
% 18.20/12.73 % Maximum clause weight is 134.000.
% 18.20/12.73 % Given clauses 234.
% 18.20/12.73
% 18.20/12.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------