%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR037+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 : Thu Sep 24 12:13:00 PM UTC 2026
% Result : Theorem 0.11s 0.43s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 14 ~; 11 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f276,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1041,axiom,
! [X,Y,Z] :
( ( geographicalsubregions(Y,Z)
& geographicalsubregions(X,Y) )
=> geographicalsubregions(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1408,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f188]) ).
fof(f1409,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(thm)],[f1408]) ).
fof(f1534,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f276]) ).
fof(f1535,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(thm)],[f1534]) ).
fof(f2990,plain,
! [X,Y,Z] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f1041]) ).
fof(f2991,plain,
! [X,Z] :
( geographicalsubregions(X,Z)
| ! [Y] :
( ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) ),
inference(miniscoping,[status(thm)],[f2990]) ).
fof(f2992,plain,
! [X0,X1,X2] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X1,X2)
| ~ geographicalsubregions(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2991]) ).
fof(f3204,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f1133]) ).
fof(f3205,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3206,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3207,plain,
geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
inference(forward_subsumption_resolution,[status(thm)],[f1409,f3205]) ).
fof(f3208,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
inference(forward_subsumption_resolution,[status(thm)],[f1535,f3205]) ).
fof(f3210,plain,
! [X0] :
( geographicalsubregions(X0,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(X0,c_georegion_l3_x15_y24) ),
inference(resolution,[status(thm)],[f2992,f3207]) ).
fof(f3211,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(resolution,[status(thm)],[f3210,f3208]) ).
fof(f3212,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3211,f3206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR037+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 14:27:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.41 % Drodi V4.1.1
% 0.11/0.43 % Refutation found
% 0.11/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.48 % Elapsed time: 0.093382 seconds
% 0.11/0.48 % CPU time: 0.219858 seconds
% 0.11/0.48 % Total memory used: 101.225 MB
% 0.11/0.48 % Net memory used: 101.163 MB
%------------------------------------------------------------------------------