%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB007+1 : 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 : n020.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 97.86s 14.14s
% Output : CNFRefutation 97.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 32 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 7 |; 7 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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_1456,plain,
( B = A
| ~ iext(uri_owl_sameAs,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_sameas]) ).
cnf(c_1549,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(clausify,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).
cnf(c_1550,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(clausify,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).
cnf(c_1551,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(clausify,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).
cnf(c_1552,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(clausify,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).
cnf(c_1553,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_11614,plain,
uri_ex_c2 = uri_ex_c1,
inference(resolve,[status(thm)],[c_1549,c_1456]) ).
cnf(c_11770,plain,
( ~ 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_11614,c_1553]) ).
cnf(c_11668,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
inference(resolve,[status(thm)],[c_1550,c_11770]) ).
cnf(c_11771,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
inference(paramod,[status(thm)],[c_11614,c_11668]) ).
cnf(c_11762,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
inference(resolve,[status(thm)],[c_1552,c_11771]) ).
cnf(c_11772,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(paramod,[status(thm)],[c_11614,c_11762]) ).
cnf(c_11769,plain,
$false,
inference(resolve,[status(thm)],[c_1551,c_11772]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB007+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 11:41:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 1446240 was started by sandbox2 on n020,
% 0.10/0.37 % Sat Sep 26 11:41:33 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.22/0.53
% 0.22/0.53 % From the command line: assign(max_seconds, 300).
% 0.22/0.53
% 0.22/0.53 % SInE: 190 to sos, 369 to usable, of 559 axioms (tolerance 2.00, depth 0 fixpoint).
% 97.86/14.14
% 97.86/14.14 % given #500 (T,wt=3): 6744 icext(uri_rdfs_Datatype,uri_rdfs_Literal). [resolve(1328,a,1326,b)].
% 97.86/14.14
% 97.86/14.14 % SZS status Theorem for theBenchmark
% 97.86/14.14
% 97.86/14.14 % Proof 1 at 4.83 (+ 0.45) seconds.
% 97.86/14.14 % Length of proof is 13.
% 97.86/14.14 % Level of proof is 5.
% 97.86/14.14 % Maximum clause weight is 107.000.
% 97.86/14.14 % Given clauses 821.
% 97.86/14.14
% 97.86/14.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------