%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR029+2 : 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 : 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 07:06:37 AM UTC 2026
% Result : Theorem 1.85s 0.78s
% Output : CNFRefutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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 : 42 ( 17 ~; 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(ax1_121,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x4_y13) ),
file('theBenchmark.p',ax1_121) ).
fof(ax1_128,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('theBenchmark.p',ax1_128) ).
fof(ax1_282,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
file('theBenchmark.p',ax1_282) ).
fof(ax1_337,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
file('theBenchmark.p',ax1_337) ).
fof(ax1_933,axiom,
! [X,Y,Z] :
( ( inregion(Y,Z)
& inregion(X,Y) )
=> inregion(X,Z) ),
file('theBenchmark.p',ax1_933) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query79,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',query79) ).
fof(query79_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)],[query79]) ).
cnf(c_1315,plain,
( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(clausify,[status(thm)],[ax1_121]) ).
cnf(c_1319,plain,
( inregion(B,A)
| ~ geographicalsubregions(A,B) ),
inference(clausify,[status(thm)],[ax1_128]) ).
fof(ax1_212,axiom,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
file('theBenchmark.p',ax1_212) ).
cnf(c_1373,plain,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
inference(clausify,[status(thm)],[ax1_212]) ).
cnf(c_1416,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(clausify,[status(thm)],[ax1_282]) ).
fof(ax1_326,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('theBenchmark.p',ax1_326) ).
cnf(c_1442,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(clausify,[status(thm)],[ax1_326]) ).
cnf(c_1446,plain,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(clausify,[status(thm)],[ax1_337]) ).
cnf(c_1826,plain,
( inregion(A,C)
| ~ inregion(B,C)
| ~ inregion(A,B) ),
inference(clausify,[status(thm)],[ax1_933]) ).
cnf(c_1957,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax1_1123]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_tptpgeo_member3_mt),
inference(clausify,[status(thm)],[query79_neg]) ).
cnf(c_1963,negated_conjecture,
( ~ geolevel_3(c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
inference(clausify,[status(thm)],[query79_neg]) ).
cnf(c_1966,negated_conjecture,
geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
inference(resolve,[status(thm)],[c_1962,c_1446]) ).
cnf(c_1967,negated_conjecture,
inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
inference(resolve,[status(thm)],[c_1962,c_1416]) ).
cnf(c_2024,plain,
( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(resolve,[status(thm)],[c_1315,c_1963]) ).
cnf(c_2040,plain,
inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_1319,c_1966]) ).
cnf(c_2054,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_member3_mt,A) ),
inference(resolve,[status(thm)],[c_1957,c_1962]) ).
cnf(c_2047,negated_conjecture,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolve,[status(thm)],[c_2054,c_1373]) ).
cnf(c_2055,plain,
( inregion(c_geolocation_x14_y39,A)
| ~ inregion(c_georegion_l4_x14_y39,A) ),
inference(resolve,[status(thm)],[c_1826,c_1967]) ).
cnf(c_2049,plain,
inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[status(thm)],[c_2055,c_2040]) ).
cnf(c_2051,plain,
~ mtvisible(c_worldgeographymt),
inference(resolve,[status(thm)],[c_2049,c_2024]) ).
cnf(c_2056,plain,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_1957,c_2047]) ).
cnf(c_2057,plain,
mtvisible(c_worldgeographymt),
inference(resolve,[status(thm)],[c_2056,c_1442]) ).
cnf(c_2053,plain,
$false,
inference(resolve,[status(thm)],[c_2051,c_2057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR029+2 : 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 : n007.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 23:57:39 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.39 % Process 791815 was started by sandbox2 on n007,
% 0.09/0.39 % Sat Sep 26 23:57:39 2026
% 0.09/0.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.20/0.47
% 0.20/0.47 % From the command line: assign(max_seconds, 300).
% 0.20/0.47
% 0.20/0.47 % SInE: 748 to sos, 383 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 1.85/0.78
% 1.85/0.78 % SZS status Theorem for theBenchmark
% 1.85/0.78
% 1.85/0.78 % Proof 1 at 0.22 (+ 0.03) seconds.
% 1.85/0.78 % Length of proof is 25.
% 1.85/0.78 % Level of proof is 6.
% 1.85/0.78 % Maximum clause weight is 108.000.
% 1.85/0.78 % Given clauses 53.
% 1.85/0.78
% 1.85/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------