%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR069+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/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 07:07:06 AM UTC 2026
% Result : Theorem 17.12s 9.26s
% Output : CNFRefutation 17.12s
% 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_5307,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('theBenchmark.p',ax4_5307) ).
fof(query269,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('theBenchmark.p',query269) ).
fof(query269_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(assume_negation,[status(cth)],[query269]) ).
cnf(c_39,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(clausify,[status(thm)],[ax4_5307]) ).
cnf(c_51,negated_conjecture,
mtvisible(c_tptpgeo_member1_mt),
inference(clausify,[status(thm)],[query269_neg]) ).
cnf(c_52,negated_conjecture,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(clausify,[status(thm)],[query269_neg]) ).
cnf(c_55,negated_conjecture,
borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(resolve,[status(thm)],[c_51,c_39]) ).
cnf(c_54,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_52,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR069+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 00:35:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 3448943 was started by sandbox2 on n005,
% 0.08/0.35 % Sun Sep 27 00:35:31 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 17.12/9.26
% 17.12/9.26 % SInE (scan): 21 to sos (tol 1.5x), 7 to usable (tol 2.0x), 540221 zapped, of 540249 axioms (depth 3).
% 17.12/9.26
% 17.12/9.26 % From the command line: assign(max_seconds, 300).
% 17.12/9.26
% 17.12/9.26 % Assigning unary symbol f_groupfn kb_weight 0 and highest precedence (20).
% 17.12/9.26
% 17.12/9.26 % SZS status Theorem for theBenchmark
% 17.12/9.26
% 17.12/9.26 % Proof 1 at 0.53 (+ 0.52) seconds.
% 17.12/9.26 % Length of proof is 6.
% 17.12/9.26 % Level of proof is 2.
% 17.12/9.26 % Maximum clause weight is 10.000.
% 17.12/9.26 % Given clauses 0.
% 17.12/9.26
% 17.12/9.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------