%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR033+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 07:06:40 AM UTC 2026
% Result : Theorem 0.97s 0.81s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 26 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 21 ~; 18 |; 4 &)
% ( 0 <=>; 10 =>; 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 : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_2185,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_1(c_georegion_l1_x2_y0) ),
file('theBenchmark.p',ax3_2185) ).
fof(ax3_2281,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
file('theBenchmark.p',ax3_2281) ).
fof(ax3_11614,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
file('theBenchmark.p',ax3_11614) ).
fof(ax3_15400,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
file('theBenchmark.p',ax3_15400) ).
fof(ax3_18015,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('theBenchmark.p',ax3_18015) ).
fof(ax3_24947,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
file('theBenchmark.p',ax3_24947) ).
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(query183,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> ( geolevel_1(c_georegion_l1_x2_y0)
& inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ) ),
file('theBenchmark.p',query183) ).
fof(query183_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> ( geolevel_1(c_georegion_l1_x2_y0)
& inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ) ),
inference(assume_negation,[status(cth)],[query183]) ).
fof(ax3_26146,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('theBenchmark.p',ax3_26146) ).
cnf(c_89,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(clausify,[status(thm)],[ax3_26146]) ).
fof(ax3_1891,axiom,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
file('theBenchmark.p',ax3_1891) ).
cnf(c_110,plain,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
inference(clausify,[status(thm)],[ax3_1891]) ).
cnf(c_112,plain,
( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(clausify,[status(thm)],[ax3_2185]) ).
cnf(c_113,plain,
( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[ax3_2281]) ).
fof(ax3_3446,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
file('theBenchmark.p',ax3_3446) ).
cnf(c_115,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
inference(clausify,[status(thm)],[ax3_3446]) ).
fof(ax3_7129,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member3_mt),
file('theBenchmark.p',ax3_7129) ).
cnf(c_118,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member3_mt),
inference(clausify,[status(thm)],[ax3_7129]) ).
cnf(c_125,plain,
( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[ax3_11614]) ).
cnf(c_126,plain,
( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[ax3_15400]) ).
cnf(c_128,plain,
( inregion(B,A)
| ~ geographicalsubregions(A,B) ),
inference(clausify,[status(thm)],[ax3_18015]) ).
cnf(c_134,plain,
( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[ax3_24947]) ).
cnf(c_140,plain,
( inregion(A,C)
| ~ inregion(B,C)
| ~ inregion(A,B) ),
inference(clausify,[status(thm)],[ax3_43403]) ).
cnf(c_151,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax3_44208]) ).
cnf(c_153,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(clausify,[status(thm)],[query183_neg]) ).
cnf(c_154,negated_conjecture,
( ~ geolevel_1(c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ),
inference(clausify,[status(thm)],[query183_neg]) ).
cnf(c_216,plain,
( mtvisible(c_tptpgeo_member3_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(resolve,[status(thm)],[c_151,c_118]) ).
cnf(c_156,negated_conjecture,
mtvisible(c_tptpgeo_member3_mt),
inference(resolve,[status(thm)],[c_153,c_216]) ).
cnf(c_217,plain,
( mtvisible(c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(resolve,[status(thm)],[c_151,c_115]) ).
cnf(c_158,negated_conjecture,
mtvisible(c_tptpgeo_member2_mt),
inference(resolve,[status(thm)],[c_153,c_217]) ).
cnf(c_218,plain,
( mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(resolve,[status(thm)],[c_151,c_110]) ).
cnf(c_159,plain,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolve,[status(thm)],[c_156,c_218]) ).
cnf(c_219,plain,
( mtvisible(c_worldgeographymt)
| ~ mtvisible(c_tptpgeo_spindleheadmt) ),
inference(resolve,[status(thm)],[c_151,c_89]) ).
cnf(c_161,plain,
mtvisible(c_worldgeographymt),
inference(resolve,[status(thm)],[c_159,c_219]) ).
cnf(c_164,plain,
geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23),
inference(resolve,[status(thm)],[c_158,c_134]) ).
cnf(c_165,plain,
geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
inference(resolve,[status(thm)],[c_158,c_126]) ).
cnf(c_166,plain,
geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7),
inference(resolve,[status(thm)],[c_158,c_125]) ).
cnf(c_167,plain,
inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23),
inference(resolve,[status(thm)],[c_158,c_113]) ).
cnf(c_168,plain,
geolevel_1(c_georegion_l1_x2_y0),
inference(resolve,[status(thm)],[c_161,c_112]) ).
cnf(c_169,negated_conjecture,
~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),
inference(resolve,[status(thm)],[c_168,c_154]) ).
cnf(c_181,plain,
inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7),
inference(resolve,[status(thm)],[c_164,c_128]) ).
cnf(c_182,plain,
inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0),
inference(resolve,[status(thm)],[c_165,c_128]) ).
cnf(c_183,plain,
inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2),
inference(resolve,[status(thm)],[c_166,c_128]) ).
cnf(c_220,plain,
( inregion(c_georegion_l3_x25_y7,A)
| ~ inregion(c_georegion_l2_x8_y2,A) ),
inference(resolve,[status(thm)],[c_140,c_183]) ).
cnf(c_204,plain,
inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0),
inference(resolve,[status(thm)],[c_220,c_182]) ).
cnf(c_221,plain,
( inregion(c_geolocation_x76_y23,A)
| ~ inregion(c_georegion_l4_x76_y23,A) ),
inference(resolve,[status(thm)],[c_140,c_167]) ).
cnf(c_206,plain,
inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7),
inference(resolve,[status(thm)],[c_221,c_181]) ).
cnf(c_222,plain,
( inregion(c_geolocation_x76_y23,A)
| ~ inregion(c_georegion_l3_x25_y7,A) ),
inference(resolve,[status(thm)],[c_140,c_206]) ).
cnf(c_223,plain,
inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),
inference(resolve,[status(thm)],[c_222,c_204]) ).
cnf(c_215,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_169,c_223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR033+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n005.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 00:03:32 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37 % Process 3393772 was started by sandbox2 on n005,
% 0.08/0.37 % Sun Sep 27 00:03:32 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.97/0.81
% 0.97/0.81 % SInE (scan): 96 to sos (tol 1.5x), 13 to usable (tol 2.0x), 44107 zapped, of 44216 axioms (depth 3).
% 0.97/0.81
% 0.97/0.81 % From the command line: assign(max_seconds, 300).
% 0.97/0.81
% 0.97/0.81 % SZS status Theorem for theBenchmark
% 0.97/0.81
% 0.97/0.81 % Proof 1 at 0.04 (+ 0.05) seconds.
% 0.97/0.81 % Length of proof is 39.
% 0.97/0.81 % Level of proof is 7.
% 0.97/0.81 % Maximum clause weight is 110.000.
% 0.97/0.81 % Given clauses 74.
% 0.97/0.81
% 0.97/0.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------