%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR029+1 : 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 07:06:37 AM UTC 2026
% Result : Theorem 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 18 ~; 13 |; 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(just5,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('theBenchmark.p',just5) ).
fof(just10,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x4_y13) ),
file('theBenchmark.p',just10) ).
fof(just11,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
file('theBenchmark.p',just11) ).
fof(just12,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
file('theBenchmark.p',just12) ).
fof(just41,axiom,
! [X,Y,Z] :
( ( inregion(Y,Z)
& inregion(X,Y) )
=> inregion(X,Z) ),
file('theBenchmark.p',just41) ).
fof(just49,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just49) ).
fof(query29,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',query29) ).
fof(query29_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)],[query29]) ).
cnf(c_55,negated_conjecture,
( ~ geolevel_3(c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
inference(clausify,[status(thm)],[query29_neg]) ).
cnf(c_56,plain,
( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(clausify,[status(thm)],[just10]) ).
cnf(c_81,negated_conjecture,
( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(resolve,[status(thm)],[c_56,c_55]) ).
cnf(c_87,plain,
( inregion(B,A)
| ~ geographicalsubregions(A,B) ),
inference(clausify,[status(thm)],[just5]) ).
fof(just8,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('theBenchmark.p',just8) ).
cnf(c_89,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(clausify,[status(thm)],[just8]) ).
fof(just9,axiom,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
file('theBenchmark.p',just9) ).
cnf(c_90,plain,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
inference(clausify,[status(thm)],[just9]) ).
cnf(c_91,plain,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(clausify,[status(thm)],[just11]) ).
cnf(c_92,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(clausify,[status(thm)],[just12]) ).
cnf(c_100,plain,
( inregion(A,C)
| ~ inregion(B,C)
| ~ inregion(A,B) ),
inference(clausify,[status(thm)],[just41]) ).
cnf(c_102,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just49]) ).
cnf(c_105,negated_conjecture,
mtvisible(c_tptpgeo_member3_mt),
inference(clausify,[status(thm)],[query29_neg]) ).
cnf(c_110,negated_conjecture,
inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
inference(resolve,[status(thm)],[c_105,c_92]) ).
cnf(c_111,negated_conjecture,
geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
inference(resolve,[status(thm)],[c_105,c_91]) ).
cnf(c_154,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_member3_mt,A) ),
inference(resolve,[status(thm)],[c_102,c_105]) ).
cnf(c_129,negated_conjecture,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolve,[status(thm)],[c_154,c_90]) ).
cnf(c_137,plain,
inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_87,c_111]) ).
cnf(c_155,plain,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_102,c_129]) ).
cnf(c_143,plain,
mtvisible(c_worldgeographymt),
inference(resolve,[status(thm)],[c_155,c_89]) ).
cnf(c_150,negated_conjecture,
~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_143,c_81]) ).
cnf(c_156,plain,
( inregion(c_geolocation_x14_y39,A)
| ~ inregion(c_georegion_l4_x14_y39,A) ),
inference(resolve,[status(thm)],[c_100,c_110]) ).
cnf(c_157,negated_conjecture,
~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_156,c_150]) ).
cnf(c_153,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_137,c_157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR029+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n005.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 26 23:59:06 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 3391237 was started by sandbox2 on n005,
% 0.09/0.38 % Sat Sep 26 23:59:06 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.39
% 0.15/0.39 % From the command line: assign(max_seconds, 300).
% 0.15/0.41
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41
% 0.15/0.41 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/0.41 % Length of proof is 25.
% 0.15/0.41 % Level of proof is 5.
% 0.15/0.41 % Maximum clause weight is 9.000.
% 0.15/0.41 % Given clauses 47.
% 0.15/0.41
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------