%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR047+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 : n019.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 07:06:50 AM UTC 2026
% Result : Theorem 0.14s 10.47s
% Output : CNFRefutation 0.14s
% 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 : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_1237,axiom,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
file('theBenchmark.p',ax2_1237) ).
fof(ax2_7642,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('theBenchmark.p',ax2_7642) ).
fof(query147,conjecture,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
file('theBenchmark.p',query147) ).
fof(query147_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
inference(assume_negation,[status(cth)],[query147]) ).
cnf(c_40,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ mtvisible(c_tptpgeo_member4_mt) ),
inference(clausify,[status(thm)],[ax2_1237]) ).
cnf(c_51,plain,
( borderson(B,A)
| ~ borderson(A,B) ),
inference(clausify,[status(thm)],[ax2_7642]) ).
cnf(c_60,negated_conjecture,
mtvisible(c_tptpgeo_member4_mt),
inference(clausify,[status(thm)],[query147_neg]) ).
cnf(c_61,negated_conjecture,
~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
inference(clausify,[status(thm)],[query147_neg]) ).
cnf(c_62,negated_conjecture,
borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
inference(resolve,[status(thm)],[c_60,c_40]) ).
cnf(c_70,plain,
borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
inference(resolve,[status(thm)],[c_51,c_62]) ).
cnf(c_69,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_61,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR047+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/10.38 % Computer : n019.cluster.edu
% 0.08/10.38 % Model : x86_64 x86_64
% 0.08/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.38 % Memory : 8046.5625MB
% 0.08/10.38 % OS : Linux 6.8.0-71-generic
% 0.08/10.38 % CPULimit : 300
% 0.08/10.38 % WCLimit : 300
% 0.08/10.38 % DateTime : Sun Sep 27 00:16:32 UTC 2026
% 0.08/10.38 % CPUTime :
% 0.08/10.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/10.39 % Process 2543670 was started by sandbox2 on n019,
% 0.08/10.39 % Sun Sep 27 00:16:32 2026
% 0.08/10.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/10.47
% 0.14/10.47 % SInE (scan): 45 to sos (tol 1.5x), 0 to usable (tol 2.0x), 7960 zapped, of 8005 axioms (depth 3).
% 0.14/10.47
% 0.14/10.47 % From the command line: assign(max_seconds, 300).
% 0.14/10.47
% 0.14/10.47 % SZS status Theorem for theBenchmark
% 0.14/10.47
% 0.14/10.47 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.14/10.47 % Length of proof is 9.
% 0.14/10.47 % Level of proof is 3.
% 0.14/10.47 % Maximum clause weight is 11.000.
% 0.14/10.47 % Given clauses 21.
% 0.14/10.47
% 0.14/10.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------