%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR069+2 : 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 : n006.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 0.14s 5.82s
% Output : CNFRefutation 0.14s
% 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(ax1_463,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('theBenchmark.p',ax1_463) ).
fof(query119,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('theBenchmark.p',query119) ).
fof(query119_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(assume_negation,[status(cth)],[query119]) ).
cnf(c_1528,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(clausify,[status(thm)],[ax1_463]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_tptpgeo_member1_mt),
inference(clausify,[status(thm)],[query119_neg]) ).
cnf(c_1963,negated_conjecture,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(clausify,[status(thm)],[query119_neg]) ).
cnf(c_1967,negated_conjecture,
borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(resolve,[status(thm)],[c_1962,c_1528]) ).
cnf(c_1966,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1963,c_1967]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR069+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n006.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 27 00:35:04 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.38 % Process 2443543 was started by sandbox2 on n006,
% 0.10/5.38 % Sun Sep 27 00:35:04 2026
% 0.10/5.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/5.54
% 0.14/5.54 % From the command line: assign(max_seconds, 300).
% 0.14/5.54
% 0.14/5.54 % SInE: 749 to sos, 382 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.14/5.82
% 0.14/5.82 % SZS status Theorem for theBenchmark
% 0.14/5.82
% 0.14/5.82 % Proof 1 at 0.19 (+ 0.03) seconds.
% 0.14/5.82 % Length of proof is 6.
% 0.14/5.82 % Level of proof is 2.
% 0.14/5.82 % Maximum clause weight is 10.000.
% 0.14/5.82 % Given clauses 0.
% 0.14/5.82
% 0.14/5.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------