%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR069+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 0.09s 0.39s
% Output : CNFRefutation 0.09s
% 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(just1,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('theBenchmark.p',just1) ).
fof(query69,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('theBenchmark.p',query69) ).
fof(query69_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(assume_negation,[status(cth)],[query69]) ).
cnf(c_31,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(clausify,[status(thm)],[just1]) ).
cnf(c_32,negated_conjecture,
mtvisible(c_tptpgeo_member1_mt),
inference(clausify,[status(thm)],[query69_neg]) ).
cnf(c_39,negated_conjecture,
borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(resolve,[status(thm)],[c_32,c_31]) ).
cnf(c_40,negated_conjecture,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(clausify,[status(thm)],[query69_neg]) ).
cnf(c_41,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_39,c_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR069+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 00:35:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 1866483 was started by sandbox2 on n011,
% 0.09/0.37 % Sun Sep 27 00:35:30 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.09/0.39
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39
% 0.09/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.39 % Length of proof is 7.
% 0.09/0.39 % Level of proof is 3.
% 0.09/0.39 % Maximum clause weight is 3.000.
% 0.09/0.39 % Given clauses 0.
% 0.09/0.39
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------