%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR033+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 : n019.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 07:06:39 AM UTC 2026
% Result : Theorem 2.52s 1.11s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 25 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 24 ~; 19 |; 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 : 18 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_18,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
file('theBenchmark.p',ax1_18) ).
fof(ax1_128,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('theBenchmark.p',ax1_128) ).
fof(ax1_291,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
file('theBenchmark.p',ax1_291) ).
fof(ax1_292,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_1(c_georegion_l1_x2_y0) ),
file('theBenchmark.p',ax1_292) ).
fof(ax1_300,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
file('theBenchmark.p',ax1_300) ).
fof(ax1_355,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
file('theBenchmark.p',ax1_355) ).
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(query83,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',query83) ).
fof(query83_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)],[query83]) ).
fof(ax1_1,axiom,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
file('theBenchmark.p',ax1_1) ).
cnf(c_1233,plain,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(clausify,[status(thm)],[ax1_1]) ).
cnf(c_1245,plain,
( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[ax1_18]) ).
cnf(c_1313,plain,
( inregion(B,A)
| ~ geographicalsubregions(A,B) ),
inference(clausify,[status(thm)],[ax1_128]) ).
fof(ax1_273,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
file('theBenchmark.p',ax1_273) ).
cnf(c_1405,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
inference(clausify,[status(thm)],[ax1_273]) ).
cnf(c_1417,plain,
( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[ax1_291]) ).
cnf(c_1418,plain,
( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(clausify,[status(thm)],[ax1_292]) ).
cnf(c_1423,plain,
( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[ax1_300]) ).
fof(ax1_326,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('theBenchmark.p',ax1_326) ).
cnf(c_1439,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(clausify,[status(thm)],[ax1_326]) ).
cnf(c_1456,plain,
( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[ax1_355]) ).
fof(ax1_369,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
file('theBenchmark.p',ax1_369) ).
cnf(c_1466,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
inference(clausify,[status(thm)],[ax1_369]) ).
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_spindlecollectormt),
inference(clausify,[status(thm)],[query83_neg]) ).
cnf(c_1963,negated_conjecture,
( ~ geolevel_1(c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ),
inference(clausify,[status(thm)],[query83_neg]) ).
cnf(c_2021,plain,
( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(resolve,[status(thm)],[c_1418,c_1963]) ).
cnf(c_2265,plain,
( mtvisible(c_tptpgeo_member8_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(resolve,[status(thm)],[c_1957,c_1466]) ).
cnf(c_2053,negated_conjecture,
mtvisible(c_tptpgeo_member8_mt),
inference(resolve,[status(thm)],[c_1962,c_2265]) ).
cnf(c_2266,plain,
( mtvisible(c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(resolve,[status(thm)],[c_1957,c_1405]) ).
cnf(c_2054,negated_conjecture,
mtvisible(c_tptpgeo_member2_mt),
inference(resolve,[status(thm)],[c_1962,c_2266]) ).
cnf(c_2267,plain,
( mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) ),
inference(resolve,[status(thm)],[c_1957,c_1233]) ).
cnf(c_2057,plain,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolve,[status(thm)],[c_2053,c_2267]) ).
cnf(c_2113,plain,
inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23),
inference(resolve,[status(thm)],[c_2054,c_1456]) ).
cnf(c_2114,plain,
geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23),
inference(resolve,[status(thm)],[c_2054,c_1423]) ).
cnf(c_2115,plain,
geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7),
inference(resolve,[status(thm)],[c_2054,c_1417]) ).
cnf(c_2116,plain,
geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
inference(resolve,[status(thm)],[c_2054,c_1245]) ).
cnf(c_2127,plain,
inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7),
inference(resolve,[status(thm)],[c_2114,c_1313]) ).
cnf(c_2128,plain,
inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2),
inference(resolve,[status(thm)],[c_2115,c_1313]) ).
cnf(c_2130,plain,
inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0),
inference(resolve,[status(thm)],[c_2116,c_1313]) ).
cnf(c_2268,plain,
( inregion(c_georegion_l3_x25_y7,A)
| ~ inregion(c_georegion_l2_x8_y2,A) ),
inference(resolve,[status(thm)],[c_1826,c_2128]) ).
cnf(c_2212,plain,
inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0),
inference(resolve,[status(thm)],[c_2268,c_2130]) ).
cnf(c_2269,plain,
( inregion(c_geolocation_x76_y23,A)
| ~ inregion(c_georegion_l4_x76_y23,A) ),
inference(resolve,[status(thm)],[c_1826,c_2113]) ).
cnf(c_2214,plain,
inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7),
inference(resolve,[status(thm)],[c_2269,c_2127]) ).
cnf(c_2270,plain,
( inregion(c_geolocation_x76_y23,A)
| ~ inregion(c_georegion_l3_x25_y7,A) ),
inference(resolve,[status(thm)],[c_1826,c_2214]) ).
cnf(c_2223,plain,
inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),
inference(resolve,[status(thm)],[c_2270,c_2212]) ).
cnf(c_2227,plain,
~ mtvisible(c_worldgeographymt),
inference(resolve,[status(thm)],[c_2223,c_2021]) ).
cnf(c_2271,plain,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_1957,c_2057]) ).
cnf(c_2272,plain,
~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(resolve,[status(thm)],[c_2271,c_2227]) ).
cnf(c_2264,plain,
$false,
inference(resolve,[status(thm)],[c_1439,c_2272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR033+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n019.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sun Sep 27 00:03:38 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.57 % Process 2522487 was started by sandbox2 on n019,
% 0.10/0.57 % Sun Sep 27 00:03:38 2026
% 0.10/0.57 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/0.73
% 0.14/0.73 % From the command line: assign(max_seconds, 300).
% 0.14/0.73
% 0.14/0.73 % SInE: 755 to sos, 376 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 2.52/1.11
% 2.52/1.11 % SZS status Theorem for theBenchmark
% 2.52/1.11
% 2.52/1.11 % Proof 1 at 0.26 (+ 0.06) seconds.
% 2.52/1.11 % Length of proof is 39.
% 2.52/1.11 % Level of proof is 8.
% 2.52/1.11 % Maximum clause weight is 110.000.
% 2.52/1.11 % Given clauses 247.
% 2.52/1.11
% 2.52/1.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------