%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 34 ( 16 ~; 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(f12,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X,Y,Z] :
( ( geographicalsubregions(Y,Z)
& geographicalsubregions(X,Y) )
=> geographicalsubregions(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f81,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f82,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f84,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f142,plain,
! [X,Y,Z] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f143,plain,
! [X,Z] :
( geographicalsubregions(X,Z)
| ! [Y] :
( ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) ),
inference(miniscoping,[status(thm)],[f142]) ).
fof(f144,plain,
! [X0,X1,X2] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X1,X2)
| ~ geographicalsubregions(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f223,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f224,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f225,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f226,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
inference(forward_subsumption_resolution,[status(thm)],[f82,f224]) ).
fof(f227,plain,
geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
inference(forward_subsumption_resolution,[status(thm)],[f84,f224]) ).
fof(f228,plain,
! [X0] :
( ~ geographicalsubregions(X0,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(c_georegion_l2_x5_y8,X0) ),
inference(resolution,[status(thm)],[f144,f225]) ).
fof(f229,plain,
~ geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
inference(resolution,[status(thm)],[f228,f226]) ).
fof(f231,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f229,f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n004.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 14:29:19 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.49 % Drodi V4.1.1
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.57 % Elapsed time: 0.090691 seconds
% 0.23/0.57 % CPU time: 0.102196 seconds
% 0.23/0.57 % Total memory used: 1.783 MB
% 0.23/0.57 % Net memory used: 1.765 MB
%------------------------------------------------------------------------------