%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB011+2 : 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 : n003.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 08:51:29 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 4 |; 5 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(owl_eqdis_disjointwith,axiom,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ! [X] :
~ ( icext(C2,X)
& icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_eqdis_disjointwith) ).
fof(testcase_premise_fullish_011_Entity_Types_as_Classes,axiom,
( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
& iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
file('theBenchmark.p',testcase_premise_fullish_011_Entity_Types_as_Classes) ).
cnf(c_5,plain,
( icext(B,A)
| ~ iext(uri_rdf_type,A,B) ),
inference(clausify,[status(thm)],[rdfs_cext_def]) ).
cnf(c_8,plain,
( ~ icext(B,C)
| ~ icext(A,C)
| ~ iext(uri_owl_disjointWith,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_disjointwith]) ).
cnf(c_11,plain,
iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
inference(clausify,[status(thm)],[testcase_premise_fullish_011_Entity_Types_as_Classes]) ).
cnf(c_12,plain,
iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
inference(clausify,[status(thm)],[testcase_premise_fullish_011_Entity_Types_as_Classes]) ).
cnf(c_13,plain,
iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
inference(clausify,[status(thm)],[testcase_premise_fullish_011_Entity_Types_as_Classes]) ).
cnf(c_14,plain,
icext(uri_owl_ObjectProperty,uri_ex_x),
inference(resolve,[status(thm)],[c_13,c_5]) ).
cnf(c_15,plain,
icext(uri_owl_Class,uri_ex_x),
inference(resolve,[status(thm)],[c_12,c_5]) ).
cnf(c_18,plain,
( ~ icext(uri_owl_ObjectProperty,A)
| ~ icext(uri_owl_Class,A) ),
inference(resolve,[status(thm)],[c_11,c_8]) ).
cnf(c_22,plain,
~ icext(uri_owl_ObjectProperty,uri_ex_x),
inference(resolve,[status(thm)],[c_18,c_15]) ).
cnf(c_21,plain,
$false,
inference(resolve,[status(thm)],[c_14,c_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB011+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 11:44:24 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.39 % Process 2792390 was started by sandbox2 on n003,
% 0.11/0.39 % Sat Sep 26 11:44:24 2026
% 0.11/0.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.39
% 0.11/0.39 % From the command line: assign(max_seconds, 300).
% 0.11/0.39
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.39
% 0.11/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.11/0.39 % Length of proof is 12.
% 0.11/0.39 % Level of proof is 3.
% 0.11/0.39 % Maximum clause weight is 6.000.
% 0.11/0.39 % Given clauses 5.
% 0.11/0.39
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------