%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR029+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 : n020.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 07:06:37 AM UTC 2026
% Result : Theorem 0.71s 1.27s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 15 ~; 12 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_4349,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
file('theBenchmark.p',ax3_4349) ).
fof(ax3_7771,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
file('theBenchmark.p',ax3_7771) ).
fof(ax3_11398,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x4_y13) ),
file('theBenchmark.p',ax3_11398) ).
fof(ax3_18015,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('theBenchmark.p',ax3_18015) ).
fof(ax3_43403,axiom,
! [X,Y,Z] :
( ( inregion(Y,Z)
& inregion(X,Y) )
=> inregion(X,Z) ),
file('theBenchmark.p',ax3_43403) ).
fof(ax3_44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax3_44208) ).
fof(query179,conjecture,
( mtvisible(c_tptpgeo_member3_mt)
=> ( geolevel_3(c_georegion_l3_x4_y13)
& inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ) ),
file('theBenchmark.p',query179) ).
fof(query179_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member3_mt)
=> ( geolevel_3(c_georegion_l3_x4_y13)
& inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ) ),
inference(assume_negation,[status(cth)],[query179]) ).
fof(ax3_1891,axiom,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
file('theBenchmark.p',ax3_1891) ).
cnf(c_107,plain,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
inference(clausify,[status(thm)],[ax3_1891]) ).
cnf(c_114,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(clausify,[status(thm)],[ax3_4349]) ).
cnf(c_116,plain,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(clausify,[status(thm)],[ax3_7771]) ).
cnf(c_121,plain,
( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(clausify,[status(thm)],[ax3_11398]) ).
fof(ax3_11699,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('theBenchmark.p',ax3_11699) ).
cnf(c_122,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(clausify,[status(thm)],[ax3_11699]) ).
cnf(c_125,plain,
( inregion(B,A)
| ~ geographicalsubregions(A,B) ),
inference(clausify,[status(thm)],[ax3_18015]) ).
cnf(c_133,plain,
( inregion(A,C)
| ~ inregion(B,C)
| ~ inregion(A,B) ),
inference(clausify,[status(thm)],[ax3_43403]) ).
cnf(c_144,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax3_44208]) ).
cnf(c_146,negated_conjecture,
mtvisible(c_tptpgeo_member3_mt),
inference(clausify,[status(thm)],[query179_neg]) ).
cnf(c_147,negated_conjecture,
( ~ geolevel_3(c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
inference(clausify,[status(thm)],[query179_neg]) ).
cnf(c_148,negated_conjecture,
geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
inference(resolve,[status(thm)],[c_146,c_116]) ).
cnf(c_149,negated_conjecture,
inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
inference(resolve,[status(thm)],[c_146,c_114]) ).
cnf(c_156,plain,
inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_125,c_148]) ).
cnf(c_175,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_member3_mt,A) ),
inference(resolve,[status(thm)],[c_144,c_146]) ).
cnf(c_160,negated_conjecture,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolve,[status(thm)],[c_175,c_107]) ).
cnf(c_176,plain,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_144,c_160]) ).
cnf(c_161,plain,
mtvisible(c_worldgeographymt),
inference(resolve,[status(thm)],[c_176,c_122]) ).
cnf(c_162,plain,
geolevel_3(c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_161,c_121]) ).
cnf(c_163,negated_conjecture,
~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_162,c_147]) ).
cnf(c_177,plain,
( inregion(c_geolocation_x14_y39,A)
| ~ inregion(c_georegion_l4_x14_y39,A) ),
inference(resolve,[status(thm)],[c_133,c_149]) ).
cnf(c_178,plain,
inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_177,c_156]) ).
cnf(c_174,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_163,c_178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR029+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.58 % Computer : n020.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sun Sep 27 00:01:19 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.59 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.59 % Process 2833238 was started by sandbox2 on n020,
% 0.10/0.59 % Sun Sep 27 00:01:19 2026
% 0.10/0.59 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.71/1.27
% 0.71/1.27 % SInE (scan): 92 to sos (tol 1.5x), 13 to usable (tol 2.0x), 44111 zapped, of 44216 axioms (depth 3).
% 0.71/1.27
% 0.71/1.27 % From the command line: assign(max_seconds, 300).
% 0.71/1.27
% 0.71/1.27 % SZS status Theorem for theBenchmark
% 0.71/1.27
% 0.71/1.27 % Proof 1 at 0.06 (+ 0.06) seconds.
% 0.71/1.27 % Length of proof is 25.
% 0.71/1.27 % Level of proof is 6.
% 0.71/1.27 % Maximum clause weight is 110.000.
% 0.71/1.27 % Given clauses 57.
% 0.71/1.27
% 0.71/1.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------