%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR059+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 : n010.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 07:06:59 AM UTC 2026
% Result : Theorem 242.49s 193.87s
% Output : CNFRefutation 242.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 5 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax5_666925,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('theBenchmark.p',ax5_666925) ).
fof(ax5_1553473,axiom,
! [ARG1,ARG2] :
( borderson(ARG1,ARG2)
=> borderson(ARG2,ARG1) ),
file('theBenchmark.p',ax5_1553473) ).
fof(ax5_3342125,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax5_3342125) ).
fof(query309,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('theBenchmark.p',query309) ).
fof(query309_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(assume_negation,[status(cth)],[query309]) ).
fof(ax5_44462,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('theBenchmark.p',ax5_44462) ).
cnf(c_372,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(clausify,[status(thm)],[ax5_44462]) ).
cnf(c_407,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(clausify,[status(thm)],[ax5_666925]) ).
cnf(c_437,plain,
( borderson(B,A)
| ~ borderson(A,B) ),
inference(clausify,[status(thm)],[ax5_1553473]) ).
cnf(c_492,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax5_3342125]) ).
cnf(c_496,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(clausify,[status(thm)],[query309_neg]) ).
cnf(c_497,negated_conjecture,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(clausify,[status(thm)],[query309_neg]) ).
cnf(c_498,plain,
~ borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(resolve,[status(thm)],[c_437,c_497]) ).
cnf(c_499,plain,
~ mtvisible(c_tptpgeo_member5_mt),
inference(resolve,[status(thm)],[c_498,c_407]) ).
cnf(c_555,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_492,c_496]) ).
cnf(c_556,negated_conjecture,
mtvisible(c_tptpgeo_member5_mt),
inference(resolve,[status(thm)],[c_555,c_372]) ).
cnf(c_554,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_499,c_556]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR059+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 00:27:27 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 382101 was started by sandbox2 on n010,
% 0.08/0.35 % Sun Sep 27 00:27:27 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 242.49/193.87
% 242.49/193.87 % SInE (scan): 253 to sos (tol 1.5x), 56 to usable (tol 2.0x), 3341668 zapped, of 3341977 axioms (depth 3).
% 242.49/193.87
% 242.49/193.87 % From the command line: assign(max_seconds, 300).
% 242.49/193.87
% 242.49/193.87 % SZS status Theorem for theBenchmark
% 242.49/193.87
% 242.49/193.87 % Proof 1 at 4.12 (+ 3.79) seconds.
% 242.49/193.87 % Length of proof is 13.
% 242.49/193.87 % Level of proof is 4.
% 242.49/193.87 % Maximum clause weight is 112.000.
% 242.49/193.87 % Given clauses 121.
% 242.49/193.87
% 242.49/193.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------