%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR059+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.24s 0.62s
% Output : CNFRefutation 0.24s
% 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(ax2_489,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('theBenchmark.p',ax2_489) ).
fof(ax2_7642,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('theBenchmark.p',ax2_7642) ).
fof(ax2_7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax2_7997) ).
fof(query159,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('theBenchmark.p',query159) ).
fof(query159_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(assume_negation,[status(cth)],[query159]) ).
cnf(c_38,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(clausify,[status(thm)],[ax2_489]) ).
fof(ax2_2388,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('theBenchmark.p',ax2_2388) ).
cnf(c_42,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(clausify,[status(thm)],[ax2_2388]) ).
cnf(c_53,plain,
( borderson(B,A)
| ~ borderson(A,B) ),
inference(clausify,[status(thm)],[ax2_7642]) ).
cnf(c_61,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax2_7997]) ).
cnf(c_63,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(clausify,[status(thm)],[query159_neg]) ).
cnf(c_64,negated_conjecture,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(clausify,[status(thm)],[query159_neg]) ).
cnf(c_75,plain,
( mtvisible(c_tptpgeo_member5_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(resolve,[status(thm)],[c_42,c_61]) ).
cnf(c_72,negated_conjecture,
mtvisible(c_tptpgeo_member5_mt),
inference(resolve,[status(thm)],[c_63,c_75]) ).
cnf(c_73,plain,
borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(resolve,[status(thm)],[c_72,c_38]) ).
cnf(c_76,plain,
borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(resolve,[status(thm)],[c_73,c_53]) ).
cnf(c_74,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_64,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR059+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n007.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 00:24:24 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.47 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.20/0.47 % Process 828404 was started by sandbox on n007,
% 0.20/0.47 % Sun Sep 27 00:24:24 2026
% 0.20/0.47 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.24/0.62
% 0.24/0.62 % SInE (scan): 45 to sos (tol 1.5x), 2 to usable (tol 2.0x), 7958 zapped, of 8005 axioms (depth 3).
% 0.24/0.62
% 0.24/0.62 % From the command line: assign(max_seconds, 300).
% 0.24/0.62
% 0.24/0.62 % Assigning unary symbol f_groupfn kb_weight 0 and highest precedence (25).
% 0.24/0.62
% 0.24/0.62 % SZS status Theorem for theBenchmark
% 0.24/0.62
% 0.24/0.62 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.24/0.62 % Length of proof is 13.
% 0.24/0.62 % Level of proof is 4.
% 0.24/0.62 % Maximum clause weight is 108.000.
% 0.24/0.62 % Given clauses 26.
% 0.24/0.62
% 0.24/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------