%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR059+4 : 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 : n005.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 0.14s 5.65s
% Output : CNFRefutation 0.14s
% 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(ax3_6006,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('theBenchmark.p',ax3_6006) ).
fof(ax3_43084,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('theBenchmark.p',ax3_43084) ).
fof(ax3_44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax3_44208) ).
fof(query209,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('theBenchmark.p',query209) ).
fof(query209_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(assume_negation,[status(cth)],[query209]) ).
cnf(c_44,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(clausify,[status(thm)],[ax3_6006]) ).
fof(ax3_11126,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('theBenchmark.p',ax3_11126) ).
cnf(c_50,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(clausify,[status(thm)],[ax3_11126]) ).
cnf(c_59,plain,
( borderson(B,A)
| ~ borderson(A,B) ),
inference(clausify,[status(thm)],[ax3_43084]) ).
cnf(c_64,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax3_44208]) ).
cnf(c_66,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(clausify,[status(thm)],[query209_neg]) ).
cnf(c_67,negated_conjecture,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(clausify,[status(thm)],[query209_neg]) ).
cnf(c_68,plain,
~ borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(resolve,[status(thm)],[c_59,c_67]) ).
cnf(c_69,plain,
~ mtvisible(c_tptpgeo_member5_mt),
inference(resolve,[status(thm)],[c_68,c_44]) ).
cnf(c_72,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_64,c_66]) ).
cnf(c_73,negated_conjecture,
mtvisible(c_tptpgeo_member5_mt),
inference(resolve,[status(thm)],[c_72,c_50]) ).
cnf(c_71,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_69,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR059+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n005.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sun Sep 27 00:26:37 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 3435808 was started by sandbox2 on n005,
% 0.10/5.38 % Sun Sep 27 00:26:37 2026
% 0.10/5.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/5.65
% 0.14/5.65 % SInE (scan): 49 to sos (tol 1.5x), 4 to usable (tol 2.0x), 44163 zapped, of 44216 axioms (depth 3).
% 0.14/5.65
% 0.14/5.65 % From the command line: assign(max_seconds, 300).
% 0.14/5.65
% 0.14/5.65 % SZS status Theorem for theBenchmark
% 0.14/5.65
% 0.14/5.65 % Proof 1 at 0.04 (+ 0.04) seconds.
% 0.14/5.65 % Length of proof is 13.
% 0.14/5.65 % Level of proof is 4.
% 0.14/5.65 % Maximum clause weight is 12.000.
% 0.14/5.65 % Given clauses 20.
% 0.14/5.65
% 0.14/5.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------