%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB001+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 : n012.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 08:51:25 AM UTC 2026
% Result : Theorem 0.03s 15.35s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 1 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_premise_fullish_001_Subgraph_Entailment,axiom,
( iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r) ),
file('theBenchmark.p',testcase_premise_fullish_001_Subgraph_Entailment) ).
fof(testcase_conclusion_fullish_001_Subgraph_Entailment,conjecture,
( iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
file('theBenchmark.p',testcase_conclusion_fullish_001_Subgraph_Entailment) ).
fof(testcase_conclusion_fullish_001_Subgraph_Entailment_neg,negated_conjecture,
~ ( iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_001_Subgraph_Entailment]) ).
cnf(c_310,plain,
iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction),
inference(clausify,[status(thm)],[testcase_premise_fullish_001_Subgraph_Entailment]) ).
cnf(c_311,plain,
iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),
inference(clausify,[status(thm)],[testcase_premise_fullish_001_Subgraph_Entailment]) ).
cnf(c_313,negated_conjecture,
( ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
| ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
inference(clausify,[status(thm)],[testcase_conclusion_fullish_001_Subgraph_Entailment_neg]) ).
cnf(c_315,negated_conjecture,
~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),
inference(resolve,[status(thm)],[c_310,c_313]) ).
cnf(c_314,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_311,c_315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB001+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/15.32 % Computer : n012.cluster.edu
% 0.03/15.32 % Model : x86_64 x86_64
% 0.03/15.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/15.32 % Memory : 8046.5625MB
% 0.03/15.32 % OS : Linux 6.8.0-71-generic
% 0.03/15.32 % CPULimit : 300
% 0.03/15.32 % WCLimit : 300
% 0.03/15.32 % DateTime : Sat Sep 26 11:37:55 UTC 2026
% 0.03/15.32 % CPUTime :
% 0.03/15.33 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/15.33 % Process 501036 was started by sandbox2 on n012,
% 0.03/15.33 % Sat Sep 26 11:37:55 2026
% 0.03/15.33 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.03/15.34
% 0.03/15.34 % From the command line: assign(max_seconds, 300).
% 0.03/15.34
% 0.03/15.34 % SInE: 65 to sos, 74 to usable, of 139 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.03/15.35
% 0.03/15.35 % SZS status Theorem for theBenchmark
% 0.03/15.35
% 0.03/15.35 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.03/15.35 % Length of proof is 6.
% 0.03/15.35 % Level of proof is 2.
% 0.03/15.35 % Maximum clause weight is 4.000.
% 0.03/15.35 % Given clauses 0.
% 0.03/15.35
% 0.03/15.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------