%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR067+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 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 07:07:05 AM UTC 2026
% Result : Theorem 228.29s 180.82s
% Output : CNFRefutation 228.29s
% 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 : 4 ( 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 : 3 ( 1 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax5_2190515,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x28_y75,c_georegion_l4_x29_y75) ),
file('theBenchmark.p',ax5_2190515) ).
fof(query317,conjecture,
? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
file('theBenchmark.p',query317) ).
fof(query317_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
inference(assume_negation,[status(cth)],[query317]) ).
cnf(c_307,plain,
( borderson(c_georegion_l4_x28_y75,c_georegion_l4_x29_y75)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(clausify,[status(thm)],[ax5_2190515]) ).
cnf(c_334,negated_conjecture,
mtvisible(c_tptpgeo_member7_mt),
inference(clausify,[status(thm)],[query317_neg]) ).
cnf(c_335,negated_conjecture,
~ borderson(A,c_georegion_l4_x29_y75),
inference(clausify,[status(thm)],[query317_neg]) ).
cnf(c_344,negated_conjecture,
borderson(c_georegion_l4_x28_y75,c_georegion_l4_x29_y75),
inference(resolve,[status(thm)],[c_334,c_307]) ).
cnf(c_343,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_335,c_344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR067+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n020.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 00:34:34 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.42 % Process 2883835 was started by sandbox2 on n020,
% 0.15/0.42 % Sun Sep 27 00:34:34 2026
% 0.15/0.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 228.29/180.82
% 228.29/180.82 % SInE (scan): 177 to sos (tol 1.5x), 32 to usable (tol 2.0x), 3341768 zapped, of 3341977 axioms (depth 3).
% 228.29/180.82
% 228.29/180.82 % From the command line: assign(max_seconds, 300).
% 228.29/180.82
% 228.29/180.82 % SZS status Theorem for theBenchmark
% 228.29/180.82
% 228.29/180.82 % Proof 1 at 3.57 (+ 3.20) seconds.
% 228.29/180.82 % Length of proof is 6.
% 228.29/180.82 % Level of proof is 2.
% 228.29/180.82 % Maximum clause weight is 10.000.
% 228.29/180.82 % Given clauses 0.
% 228.29/180.82
% 228.29/180.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------