%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR057+2 : 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 07:06:57 AM UTC 2026
% Result : Theorem 3.11s 1.13s
% Output : CNFRefutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 15 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 10 |; 1 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 23 ( 4 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_128,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('theBenchmark.p',ax1_128) ).
fof(ax1_462,axiom,
! [OBJ] :
( geolevel_4(OBJ)
=> geographicalregion(OBJ) ),
file('theBenchmark.p',ax1_462) ).
fof(ax1_464,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_4(c_georegion_l4_x75_y75) ),
file('theBenchmark.p',ax1_464) ).
fof(ax1_932,axiom,
! [INS,ARG2] :
( inregion(INS,ARG2)
=> spatialthing_nonsituational(INS) ),
file('theBenchmark.p',ax1_932) ).
fof(ax1_934,axiom,
! [X] :
( spatialthing_nonsituational(X)
=> inregion(X,X) ),
file('theBenchmark.p',ax1_934) ).
fof(ax1_1042,axiom,
! [X] :
( geographicalregion(X)
=> geographicalsubregions(X,X) ),
file('theBenchmark.p',ax1_1042) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query107,conjecture,
? [X] :
( mtvisible(c_tptpgeo_member8_mt)
=> inregion(X,c_georegion_l4_x75_y75) ),
file('theBenchmark.p',query107) ).
fof(query107_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptpgeo_member8_mt)
=> inregion(X,c_georegion_l4_x75_y75) ),
inference(assume_negation,[status(cth)],[query107]) ).
fof(ax1_1,axiom,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
file('theBenchmark.p',ax1_1) ).
cnf(c_1232,plain,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(clausify,[status(thm)],[ax1_1]) ).
cnf(c_1311,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_1435,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(clausify,[status(thm)],[ax1_326]) ).
cnf(c_1523,plain,
( geographicalregion(A)
| ~ geolevel_4(A) ),
inference(clausify,[status(thm)],[ax1_462]) ).
cnf(c_1524,plain,
( geolevel_4(c_georegion_l4_x75_y75)
| ~ mtvisible(c_worldgeographymt) ),
inference(clausify,[status(thm)],[ax1_464]) ).
cnf(c_1825,plain,
( spatialthing_nonsituational(A)
| ~ inregion(A,B) ),
inference(clausify,[status(thm)],[ax1_932]) ).
cnf(c_1827,plain,
( inregion(A,A)
| ~ spatialthing_nonsituational(A) ),
inference(clausify,[status(thm)],[ax1_934]) ).
cnf(c_1912,plain,
( geographicalsubregions(A,A)
| ~ geographicalregion(A) ),
inference(clausify,[status(thm)],[ax1_1042]) ).
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_member8_mt),
inference(clausify,[status(thm)],[query107_neg]) ).
cnf(c_1963,negated_conjecture,
~ inregion(A,c_georegion_l4_x75_y75),
inference(clausify,[status(thm)],[query107_neg]) ).
cnf(c_1973,plain,
~ spatialthing_nonsituational(c_georegion_l4_x75_y75),
inference(resolve,[status(thm)],[c_1827,c_1963]) ).
cnf(c_1974,plain,
~ inregion(c_georegion_l4_x75_y75,A),
inference(resolve,[status(thm)],[c_1973,c_1825]) ).
cnf(c_1981,plain,
~ geographicalsubregions(A,c_georegion_l4_x75_y75),
inference(resolve,[status(thm)],[c_1311,c_1974]) ).
cnf(c_2312,plain,
( mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) ),
inference(resolve,[status(thm)],[c_1957,c_1232]) ).
cnf(c_1983,negated_conjecture,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolve,[status(thm)],[c_1962,c_2312]) ).
cnf(c_2313,plain,
( mtvisible(c_worldgeographymt)
| ~ mtvisible(c_tptpgeo_spindleheadmt) ),
inference(resolve,[status(thm)],[c_1435,c_1957]) ).
cnf(c_2238,plain,
mtvisible(c_worldgeographymt),
inference(resolve,[status(thm)],[c_1983,c_2313]) ).
cnf(c_2241,plain,
geolevel_4(c_georegion_l4_x75_y75),
inference(resolve,[status(thm)],[c_2238,c_1524]) ).
cnf(c_2277,plain,
geographicalregion(c_georegion_l4_x75_y75),
inference(resolve,[status(thm)],[c_1523,c_2241]) ).
cnf(c_2314,plain,
geographicalsubregions(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75),
inference(resolve,[status(thm)],[c_1912,c_2277]) ).
cnf(c_2311,plain,
$false,
inference(resolve,[status(thm)],[c_1981,c_2314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR057+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 00:28:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.39 % Process 1095927 was started by sandbox on n015,
% 0.10/0.39 % Sun Sep 27 00:28:32 2026
% 0.10/0.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.24/0.54
% 0.24/0.54 % From the command line: assign(max_seconds, 300).
% 0.24/0.54
% 0.24/0.54 % SInE: 756 to sos, 375 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 3.11/1.13
% 3.11/1.13 % SZS status Theorem for theBenchmark
% 3.11/1.13
% 3.11/1.13 % Proof 1 at 0.36 (+ 0.06) seconds.
% 3.11/1.13 % Length of proof is 27.
% 3.11/1.13 % Level of proof is 6.
% 3.11/1.13 % Maximum clause weight is 110.000.
% 3.11/1.13 % Given clauses 218.
% 3.11/1.13
% 3.11/1.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------