%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR059+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 20.06s 16.55s
% Output : CNFRefutation 20.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 18 ( 7 ~; 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 : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4_27086,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('theBenchmark.p',ax4_27086) ).
fof(ax4_540068,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('theBenchmark.p',ax4_540068) ).
fof(ax4_540220,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax4_540220) ).
fof(query259,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('theBenchmark.p',query259) ).
fof(query259_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(assume_negation,[status(cth)],[query259]) ).
cnf(c_63,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(clausify,[status(thm)],[ax4_27086]) ).
fof(ax4_141295,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('theBenchmark.p',ax4_141295) ).
cnf(c_73,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(clausify,[status(thm)],[ax4_141295]) ).
cnf(c_89,plain,
( borderson(B,A)
| ~ borderson(A,B) ),
inference(clausify,[status(thm)],[ax4_540068]) ).
cnf(c_91,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax4_540220]) ).
cnf(c_94,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(clausify,[status(thm)],[query259_neg]) ).
cnf(c_95,negated_conjecture,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(clausify,[status(thm)],[query259_neg]) ).
cnf(c_180,plain,
( mtvisible(c_tptpgeo_member5_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(resolve,[status(thm)],[c_91,c_73]) ).
cnf(c_118,negated_conjecture,
mtvisible(c_tptpgeo_member5_mt),
inference(resolve,[status(thm)],[c_94,c_180]) ).
cnf(c_127,plain,
borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(resolve,[status(thm)],[c_118,c_63]) ).
cnf(c_181,plain,
borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(resolve,[status(thm)],[c_127,c_89]) ).
cnf(c_179,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_95,c_181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR059+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/5.44 % Computer : n002.cluster.edu
% 0.19/5.44 % Model : x86_64 x86_64
% 0.19/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.44 % Memory : 8046.5625MB
% 0.19/5.44 % OS : Linux 6.8.0-71-generic
% 0.19/5.44 % CPULimit : 300
% 0.19/5.44 % WCLimit : 300
% 0.19/5.44 % DateTime : Sun Sep 27 00:29:42 UTC 2026
% 0.19/5.44 % CPUTime :
% 0.19/5.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/5.45 % Process 2997775 was started by sandbox on n002,
% 0.19/5.45 % Sun Sep 27 00:29:42 2026
% 0.19/5.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 20.06/16.55
% 20.06/16.55 % SInE (scan): 58 to sos (tol 1.5x), 5 to usable (tol 2.0x), 540186 zapped, of 540249 axioms (depth 3).
% 20.06/16.55
% 20.06/16.55 % From the command line: assign(max_seconds, 300).
% 20.06/16.55
% 20.06/16.55 % SZS status Theorem for theBenchmark
% 20.06/16.55
% 20.06/16.55 % Proof 1 at 0.72 (+ 0.65) seconds.
% 20.06/16.55 % Length of proof is 13.
% 20.06/16.55 % Level of proof is 4.
% 20.06/16.55 % Maximum clause weight is 112.000.
% 20.06/16.55 % Given clauses 70.
% 20.06/16.55
% 20.06/16.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------