%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR029+3 : 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 : n017.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 0.32s 0.64s
% Output : CNFRefutation 0.32s
% 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(ax2_584,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x4_y13) ),
file('theBenchmark.p',ax2_584) ).
fof(ax2_849,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
file('theBenchmark.p',ax2_849) ).
fof(ax2_962,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
file('theBenchmark.p',ax2_962) ).
fof(ax2_1935,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('theBenchmark.p',ax2_1935) ).
fof(ax2_7302,axiom,
! [X,Y,Z] :
( ( inregion(Y,Z)
& inregion(X,Y) )
=> inregion(X,Z) ),
file('theBenchmark.p',ax2_7302) ).
fof(ax2_7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax2_7997) ).
fof(query129,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',query129) ).
fof(query129_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)],[query129]) ).
fof(ax2_197,axiom,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
file('theBenchmark.p',ax2_197) ).
cnf(c_70,plain,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
inference(clausify,[status(thm)],[ax2_197]) ).
cnf(c_72,plain,
( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(clausify,[status(thm)],[ax2_584]) ).
cnf(c_74,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(clausify,[status(thm)],[ax2_849]) ).
cnf(c_75,plain,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(clausify,[status(thm)],[ax2_962]) ).
fof(ax2_1111,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('theBenchmark.p',ax2_1111) ).
cnf(c_76,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(clausify,[status(thm)],[ax2_1111]) ).
cnf(c_81,plain,
( inregion(B,A)
| ~ geographicalsubregions(A,B) ),
inference(clausify,[status(thm)],[ax2_1935]) ).
cnf(c_93,plain,
( inregion(A,C)
| ~ inregion(B,C)
| ~ inregion(A,B) ),
inference(clausify,[status(thm)],[ax2_7302]) ).
cnf(c_100,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax2_7997]) ).
cnf(c_102,negated_conjecture,
mtvisible(c_tptpgeo_member3_mt),
inference(clausify,[status(thm)],[query129_neg]) ).
cnf(c_103,negated_conjecture,
( ~ geolevel_3(c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
inference(clausify,[status(thm)],[query129_neg]) ).
cnf(c_104,negated_conjecture,
geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
inference(resolve,[status(thm)],[c_102,c_75]) ).
cnf(c_105,negated_conjecture,
inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
inference(resolve,[status(thm)],[c_102,c_74]) ).
cnf(c_112,plain,
inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_81,c_104]) ).
cnf(c_121,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_member3_mt,A) ),
inference(resolve,[status(thm)],[c_100,c_102]) ).
cnf(c_116,negated_conjecture,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolve,[status(thm)],[c_121,c_70]) ).
cnf(c_122,plain,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_100,c_116]) ).
cnf(c_117,plain,
mtvisible(c_worldgeographymt),
inference(resolve,[status(thm)],[c_122,c_76]) ).
cnf(c_118,plain,
geolevel_3(c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_117,c_72]) ).
cnf(c_119,negated_conjecture,
~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_118,c_103]) ).
cnf(c_123,plain,
( inregion(c_geolocation_x14_y39,A)
| ~ inregion(c_georegion_l4_x14_y39,A) ),
inference(resolve,[status(thm)],[c_93,c_105]) ).
cnf(c_124,plain,
inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_123,c_112]) ).
cnf(c_120,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_119,c_124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR029+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 % Computer : n017.cluster.edu
% 0.18/0.50 % Model : x86_64 x86_64
% 0.18/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.50 % Memory : 8046.5625MB
% 0.18/0.50 % OS : Linux 6.8.0-71-generic
% 0.18/0.50 % CPULimit : 300
% 0.18/0.50 % WCLimit : 300
% 0.18/0.50 % DateTime : Sat Sep 26 23:54:49 UTC 2026
% 0.18/0.50 % CPUTime :
% 0.18/0.50 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.50 % Process 1963901 was started by sandbox2 on n017,
% 0.18/0.50 % Sat Sep 26 23:54:49 2026
% 0.18/0.50 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.32/0.64
% 0.32/0.64 % SInE (scan): 61 to sos (tol 1.5x), 9 to usable (tol 2.0x), 7935 zapped, of 8005 axioms (depth 3).
% 0.32/0.64
% 0.32/0.64 % From the command line: assign(max_seconds, 300).
% 0.32/0.64
% 0.32/0.64 % SZS status Theorem for theBenchmark
% 0.32/0.64
% 0.32/0.64 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.32/0.64 % Length of proof is 25.
% 0.32/0.64 % Level of proof is 6.
% 0.32/0.64 % Maximum clause weight is 110.000.
% 0.32/0.64 % Given clauses 37.
% 0.32/0.64
% 0.32/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------