%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR037+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 : n003.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 07:06:43 AM UTC 2026
% Result : Theorem 2.87s 1.01s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 7 ~; 5 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_188,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
file('theBenchmark.p',ax1_188) ).
fof(ax1_276,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
file('theBenchmark.p',ax1_276) ).
fof(ax1_1041,axiom,
! [X,Y,Z] :
( ( geographicalsubregions(Y,Z)
& geographicalsubregions(X,Y) )
=> geographicalsubregions(X,Z) ),
file('theBenchmark.p',ax1_1041) ).
fof(query87,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
file('theBenchmark.p',query87) ).
fof(query87_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(assume_negation,[status(cth)],[query87]) ).
cnf(c_1354,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(clausify,[status(thm)],[ax1_188]) ).
cnf(c_1411,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(clausify,[status(thm)],[ax1_276]) ).
cnf(c_1911,plain,
( geographicalsubregions(A,C)
| ~ geographicalsubregions(B,C)
| ~ geographicalsubregions(A,B) ),
inference(clausify,[status(thm)],[ax1_1041]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_tptpgeo_member7_mt),
inference(clausify,[status(thm)],[query87_neg]) ).
cnf(c_1963,negated_conjecture,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(clausify,[status(thm)],[query87_neg]) ).
cnf(c_1965,negated_conjecture,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
inference(resolve,[status(thm)],[c_1962,c_1411]) ).
cnf(c_1966,negated_conjecture,
geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
inference(resolve,[status(thm)],[c_1962,c_1354]) ).
cnf(c_2069,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,A)
| ~ geographicalsubregions(c_georegion_l3_x15_y24,A) ),
inference(resolve,[status(thm)],[c_1911,c_1965]) ).
cnf(c_2070,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(resolve,[status(thm)],[c_2069,c_1966]) ).
cnf(c_2068,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1963,c_2070]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR037+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 00:09:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 4113471 was started by sandbox on n003,
% 0.09/0.36 % Sun Sep 27 00:09:09 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.26/0.51
% 0.26/0.51 % From the command line: assign(max_seconds, 300).
% 0.26/0.51
% 0.26/0.51 % SInE: 750 to sos, 381 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 2.87/1.01
% 2.87/1.01 % SZS status Theorem for theBenchmark
% 2.87/1.01
% 2.87/1.01 % Proof 1 at 0.36 (+ 0.05) seconds.
% 2.87/1.01 % Length of proof is 12.
% 2.87/1.01 % Level of proof is 3.
% 2.87/1.01 % Maximum clause weight is 9.000.
% 2.87/1.01 % Given clauses 73.
% 2.87/1.01
% 2.87/1.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------