%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR067+3 : 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 : 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 07:07:04 AM UTC 2026
% Result : Theorem 0.26s 0.57s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 4 =>; 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 : 7 ( 1 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_527,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
file('theBenchmark.p',ax2_527) ).
fof(ax2_7642,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('theBenchmark.p',ax2_7642) ).
fof(query167,conjecture,
? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
file('theBenchmark.p',query167) ).
fof(query167_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
inference(assume_negation,[status(cth)],[query167]) ).
cnf(c_29,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(clausify,[status(thm)],[ax2_527]) ).
cnf(c_35,plain,
( borderson(B,A)
| ~ borderson(A,B) ),
inference(clausify,[status(thm)],[ax2_7642]) ).
cnf(c_45,negated_conjecture,
mtvisible(c_tptpgeo_member7_mt),
inference(clausify,[status(thm)],[query167_neg]) ).
cnf(c_46,negated_conjecture,
~ borderson(A,c_georegion_l4_x29_y75),
inference(clausify,[status(thm)],[query167_neg]) ).
cnf(c_47,negated_conjecture,
borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76),
inference(resolve,[status(thm)],[c_29,c_45]) ).
cnf(c_52,plain,
borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75),
inference(resolve,[status(thm)],[c_35,c_47]) ).
cnf(c_53,plain,
$false,
inference(resolve,[status(thm)],[c_52,c_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR067+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n020.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 27 00:34:21 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.45 % Process 2882571 was started by sandbox2 on n020,
% 0.17/0.45 % Sun Sep 27 00:34:21 2026
% 0.17/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.26/0.57
% 0.26/0.57 % SInE (scan): 25 to sos (tol 1.5x), 0 to usable (tol 2.0x), 7980 zapped, of 8005 axioms (depth 3).
% 0.26/0.57
% 0.26/0.57 % From the command line: assign(max_seconds, 300).
% 0.26/0.57
% 0.26/0.57 % SZS status Theorem for theBenchmark
% 0.26/0.57
% 0.26/0.57 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.26/0.57 % Length of proof is 10.
% 0.26/0.57 % Level of proof is 4.
% 0.26/0.57 % Maximum clause weight is 11.000.
% 0.26/0.57 % Given clauses 14.
% 0.26/0.57
% 0.26/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------