%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR053+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 07:06:55 AM UTC 2026
% Result : Theorem 13.62s 5.88s
% Output : CNFRefutation 13.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4_169406,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
file('theBenchmark.p',ax4_169406) ).
fof(query253,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
file('theBenchmark.p',query253) ).
fof(query253_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
inference(assume_negation,[status(cth)],[query253]) ).
cnf(c_39,plain,
( geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(clausify,[status(thm)],[ax4_169406]) ).
cnf(c_51,negated_conjecture,
mtvisible(c_tptpgeo_member1_mt),
inference(clausify,[status(thm)],[query253_neg]) ).
cnf(c_52,negated_conjecture,
~ geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7),
inference(clausify,[status(thm)],[query253_neg]) ).
cnf(c_53,negated_conjecture,
geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7),
inference(resolve,[status(thm)],[c_39,c_51]) ).
cnf(c_54,plain,
$false,
inference(resolve,[status(thm)],[c_53,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR053+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sun Sep 27 00:27:32 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.37 % Process 2972303 was started by sandbox on n001,
% 0.02/0.37 % Sun Sep 27 00:27:32 2026
% 0.02/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 13.62/5.88
% 13.62/5.88 % SInE (scan): 27 to sos (tol 1.5x), 2 to usable (tol 2.0x), 540220 zapped, of 540249 axioms (depth 3).
% 13.62/5.88
% 13.62/5.88 % From the command line: assign(max_seconds, 300).
% 13.62/5.88
% 13.62/5.88 % SZS status Theorem for theBenchmark
% 13.62/5.88
% 13.62/5.88 % Proof 1 at 0.55 (+ 0.50) seconds.
% 13.62/5.88 % Length of proof is 7.
% 13.62/5.88 % Level of proof is 3.
% 13.62/5.88 % Maximum clause weight is 7.000.
% 13.62/5.88 % Given clauses 6.
% 13.62/5.88
% 13.62/5.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------