%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR074+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 : n026.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 07:07:10 AM UTC 2026
% Result : Theorem 0.30s 0.89s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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 : 16 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_82,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
file('theBenchmark.p',ax1_82) ).
fof(ax1_128,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('theBenchmark.p',ax1_128) ).
fof(ax1_472,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
file('theBenchmark.p',ax1_472) ).
fof(ax1_478,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x17_y24) ),
file('theBenchmark.p',ax1_478) ).
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(query124,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> ( geolevel_3(c_georegion_l3_x17_y24)
& inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ) ),
file('theBenchmark.p',query124) ).
fof(query124_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> ( geolevel_3(c_georegion_l3_x17_y24)
& inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ) ),
inference(assume_negation,[status(cth)],[query124]) ).
fof(ax1_63,axiom,
genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
file('theBenchmark.p',ax1_63) ).
cnf(c_1281,plain,
genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
inference(clausify,[status(thm)],[ax1_63]) ).
cnf(c_1293,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(clausify,[status(thm)],[ax1_82]) ).
cnf(c_1319,plain,
( inregion(B,A)
| ~ geographicalsubregions(A,B) ),
inference(clausify,[status(thm)],[ax1_128]) ).
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_1533,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(clausify,[status(thm)],[ax1_472]) ).
cnf(c_1538,plain,
( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(clausify,[status(thm)],[ax1_478]) ).
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_member7_mt),
inference(clausify,[status(thm)],[query124_neg]) ).
cnf(c_1963,negated_conjecture,
( ~ geolevel_3(c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
inference(clausify,[status(thm)],[query124_neg]) ).
cnf(c_1966,negated_conjecture,
geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74),
inference(resolve,[status(thm)],[c_1962,c_1533]) ).
cnf(c_1967,negated_conjecture,
inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74),
inference(resolve,[status(thm)],[c_1962,c_1293]) ).
cnf(c_2032,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(resolve,[status(thm)],[c_1538,c_1963]) ).
cnf(c_2060,plain,
inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24),
inference(resolve,[status(thm)],[c_1319,c_1966]) ).
cnf(c_2218,plain,
( mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(resolve,[status(thm)],[c_1957,c_1281]) ).
cnf(c_2077,negated_conjecture,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolve,[status(thm)],[c_1962,c_2218]) ).
cnf(c_2219,plain,
( inregion(c_geolocation_x53_y74,A)
| ~ inregion(c_georegion_l4_x53_y74,A) ),
inference(resolve,[status(thm)],[c_1826,c_1967]) ).
cnf(c_2178,plain,
inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24),
inference(resolve,[status(thm)],[c_2219,c_2060]) ).
cnf(c_2182,plain,
~ mtvisible(c_worldgeographymt),
inference(resolve,[status(thm)],[c_2178,c_2032]) ).
cnf(c_2220,plain,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_1957,c_2077]) ).
cnf(c_2221,plain,
~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(resolve,[status(thm)],[c_2220,c_2182]) ).
cnf(c_2217,plain,
$false,
inference(resolve,[status(thm)],[c_1442,c_2221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR074+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n026.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 00:41:55 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 2299534 was started by sandbox2 on n026,
% 0.08/0.37 % Sun Sep 27 00:41:55 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.21/0.53
% 0.21/0.53 % From the command line: assign(max_seconds, 300).
% 0.21/0.53
% 0.21/0.53 % SInE: 748 to sos, 383 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.30/0.89
% 0.30/0.89 % SZS status Theorem for theBenchmark
% 0.30/0.89
% 0.30/0.89 % Proof 1 at 0.26 (+ 0.04) seconds.
% 0.30/0.89 % Length of proof is 25.
% 0.30/0.89 % Level of proof is 6.
% 0.30/0.89 % Maximum clause weight is 108.000.
% 0.30/0.89 % Given clauses 208.
% 0.30/0.89
% 0.30/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------