%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/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 : Sun Sep 27 08:51:27 AM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 35 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 17 ~; 10 |; 7 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('theBenchmark.p',owl_eqdis_sameas) ).
fof(testcase_premise_fullish_007_Equal_Classes,axiom,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
file('theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).
fof(testcase_conclusion_fullish_007_Equal_Classes,conjecture,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
file('theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).
fof(testcase_conclusion_fullish_007_Equal_Classes_neg,negated_conjecture,
~ ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_007_Equal_Classes]) ).
cnf(c_4,plain,
( B = A
| ~ iext(uri_owl_sameAs,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_sameas]) ).
cnf(c_6,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(clausify,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).
cnf(c_7,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(clausify,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).
cnf(c_8,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(clausify,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).
cnf(c_9,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(clausify,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).
cnf(c_10,negated_conjecture,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(clausify,[status(thm)],[testcase_conclusion_fullish_007_Equal_Classes_neg]) ).
cnf(c_12,plain,
uri_ex_c2 = uri_ex_c1,
inference(resolve,[status(thm)],[c_4,c_6]) ).
cnf(c_14,negated_conjecture,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c1) ),
inference(paramod,[status(thm)],[c_12,c_10]) ).
cnf(c_15,negated_conjecture,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c1) ),
inference(paramod,[status(thm)],[c_12,c_14]) ).
cnf(c_16,negated_conjecture,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c1) ),
inference(paramod,[status(thm)],[c_12,c_15]) ).
cnf(c_17,negated_conjecture,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1) ),
inference(resolve,[status(thm)],[c_7,c_16]) ).
cnf(c_18,negated_conjecture,
~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(resolve,[status(thm)],[c_8,c_17]) ).
cnf(c_13,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_9,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 11:40:47 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 2033354 was started by sandbox on n005,
% 0.12/0.36 % Sat Sep 26 11:40:47 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.37
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.37 % Length of proof is 11.
% 0.12/0.37 % Level of proof is 3.
% 0.12/0.37 % Maximum clause weight is 12.000.
% 0.12/0.37 % Given clauses 3.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------