%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR069+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 0.15s 5.80s
% Output : CNFRefutation 0.15s
% 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 : 8 ( 4 ~; 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(ax3_3494,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('theBenchmark.p',ax3_3494) ).
fof(query219,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('theBenchmark.p',query219) ).
fof(query219_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(assume_negation,[status(cth)],[query219]) ).
cnf(c_41,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(clausify,[status(thm)],[ax3_3494]) ).
cnf(c_58,negated_conjecture,
mtvisible(c_tptpgeo_member1_mt),
inference(clausify,[status(thm)],[query219_neg]) ).
cnf(c_59,negated_conjecture,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(clausify,[status(thm)],[query219_neg]) ).
cnf(c_60,plain,
~ mtvisible(c_tptpgeo_member1_mt),
inference(resolve,[status(thm)],[c_41,c_59]) ).
cnf(c_61,plain,
$false,
inference(resolve,[status(thm)],[c_60,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR069+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n015.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Sun Sep 27 00:39:20 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.38 % Process 1105417 was started by sandbox on n015,
% 0.11/5.38 % Sun Sep 27 00:39:20 2026
% 0.11/5.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/5.80
% 0.15/5.80 % SInE (scan): 42 to sos (tol 1.5x), 7 to usable (tol 2.0x), 44167 zapped, of 44216 axioms (depth 3).
% 0.15/5.80
% 0.15/5.80 % From the command line: assign(max_seconds, 300).
% 0.15/5.80
% 0.15/5.80 % SZS status Theorem for theBenchmark
% 0.15/5.80
% 0.15/5.80 % Proof 1 at 0.04 (+ 0.05) seconds.
% 0.15/5.80 % Length of proof is 7.
% 0.15/5.80 % Level of proof is 3.
% 0.15/5.80 % Maximum clause weight is 5.000.
% 0.15/5.80 % Given clauses 7.
% 0.15/5.80
% 0.15/5.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------