%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR033+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 21 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 33 ~; 24 |; 5 &)
% ( 0 <=>; 11 =>; 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 : 29 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just5,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('theBenchmark.p',just5) ).
fof(just12,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_1(c_georegion_l1_x2_y0) ),
file('theBenchmark.p',just12) ).
fof(just13,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
file('theBenchmark.p',just13) ).
fof(just14,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
file('theBenchmark.p',just14) ).
fof(just15,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
file('theBenchmark.p',just15) ).
fof(just16,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
file('theBenchmark.p',just16) ).
fof(just35,axiom,
! [X,Y,Z] :
( ( geographicalsubregions(Y,Z)
& geographicalsubregions(X,Y) )
=> geographicalsubregions(X,Z) ),
file('theBenchmark.p',just35) ).
fof(just45,axiom,
! [X,Y,Z] :
( ( inregion(Y,Z)
& inregion(X,Y) )
=> inregion(X,Z) ),
file('theBenchmark.p',just45) ).
fof(just53,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just53) ).
fof(query33,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',query33) ).
fof(query33_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)],[query33]) ).
cnf(c_57,negated_conjecture,
( ~ geolevel_1(c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ),
inference(clausify,[status(thm)],[query33_neg]) ).
cnf(c_58,plain,
( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(clausify,[status(thm)],[just12]) ).
cnf(c_83,negated_conjecture,
( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(resolve,[status(thm)],[c_58,c_57]) ).
cnf(c_89,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_91,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(clausify,[status(thm)],[just8]) ).
fof(just9,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
file('theBenchmark.p',just9) ).
cnf(c_92,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
inference(clausify,[status(thm)],[just9]) ).
fof(just10,axiom,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
file('theBenchmark.p',just10) ).
cnf(c_93,plain,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(clausify,[status(thm)],[just10]) ).
fof(just11,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
file('theBenchmark.p',just11) ).
cnf(c_94,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
inference(clausify,[status(thm)],[just11]) ).
cnf(c_95,plain,
( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[just13]) ).
cnf(c_96,plain,
( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[just14]) ).
cnf(c_97,plain,
( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[just15]) ).
cnf(c_98,plain,
( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ mtvisible(c_tptpgeo_member2_mt) ),
inference(clausify,[status(thm)],[just16]) ).
cnf(c_103,plain,
( geographicalsubregions(A,C)
| ~ geographicalsubregions(B,C)
| ~ geographicalsubregions(A,B) ),
inference(clausify,[status(thm)],[just35]) ).
cnf(c_106,plain,
( inregion(A,C)
| ~ inregion(B,C)
| ~ inregion(A,B) ),
inference(clausify,[status(thm)],[just45]) ).
cnf(c_108,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just53]) ).
cnf(c_111,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(clausify,[status(thm)],[query33_neg]) ).
cnf(c_129,plain,
( ~ mtvisible(c_worldgeographymt)
| ~ inregion(A,c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,A) ),
inference(resolve,[status(thm)],[c_106,c_83]) ).
cnf(c_195,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_108,c_111]) ).
cnf(c_136,negated_conjecture,
mtvisible(c_tptpgeo_member8_mt),
inference(resolve,[status(thm)],[c_195,c_94]) ).
cnf(c_196,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_108,c_111]) ).
cnf(c_137,negated_conjecture,
mtvisible(c_tptpgeo_member2_mt),
inference(resolve,[status(thm)],[c_196,c_92]) ).
cnf(c_138,plain,
inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23),
inference(resolve,[status(thm)],[c_137,c_98]) ).
cnf(c_139,plain,
geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23),
inference(resolve,[status(thm)],[c_137,c_97]) ).
cnf(c_140,plain,
geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7),
inference(resolve,[status(thm)],[c_137,c_96]) ).
cnf(c_141,plain,
geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
inference(resolve,[status(thm)],[c_137,c_95]) ).
cnf(c_197,plain,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_member8_mt,A) ),
inference(resolve,[status(thm)],[c_108,c_136]) ).
cnf(c_150,plain,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolve,[status(thm)],[c_197,c_93]) ).
cnf(c_198,plain,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_108,c_150]) ).
cnf(c_151,plain,
mtvisible(c_worldgeographymt),
inference(resolve,[status(thm)],[c_198,c_91]) ).
cnf(c_153,plain,
( ~ inregion(A,c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,A) ),
inference(resolve,[status(thm)],[c_151,c_129]) ).
cnf(c_163,plain,
( ~ geographicalsubregions(c_georegion_l1_x2_y0,A)
| ~ inregion(c_geolocation_x76_y23,A) ),
inference(resolve,[status(thm)],[c_153,c_89]) ).
cnf(c_176,plain,
~ geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l4_x76_y23),
inference(resolve,[status(thm)],[c_138,c_163]) ).
cnf(c_199,plain,
( geographicalsubregions(A,c_georegion_l4_x76_y23)
| ~ geographicalsubregions(A,c_georegion_l3_x25_y7) ),
inference(resolve,[status(thm)],[c_103,c_139]) ).
cnf(c_189,plain,
~ geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l3_x25_y7),
inference(resolve,[status(thm)],[c_199,c_176]) ).
cnf(c_200,plain,
( geographicalsubregions(A,c_georegion_l3_x25_y7)
| ~ geographicalsubregions(A,c_georegion_l2_x8_y2) ),
inference(resolve,[status(thm)],[c_103,c_140]) ).
cnf(c_201,plain,
~ geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
inference(resolve,[status(thm)],[c_200,c_189]) ).
cnf(c_194,plain,
$false,
inference(resolve,[status(thm)],[c_141,c_201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR033+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 00:05:44 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 1074405 was started by sandbox on n015,
% 0.09/0.37 % Sun Sep 27 00:05:44 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.09/0.40
% 0.09/0.40 % SZS status Theorem for theBenchmark
% 0.09/0.40
% 0.09/0.40 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.09/0.40 % Length of proof is 40.
% 0.09/0.40 % Level of proof is 9.
% 0.09/0.40 % Maximum clause weight is 9.000.
% 0.09/0.40 % Given clauses 80.
% 0.09/0.40
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------