%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR069+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 12:13:23 PM UTC 2026
% Result : Theorem 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 2 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f463,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1809,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f463]) ).
fof(f1810,plain,
( borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(cnf_transformation,[status(thm)],[f1809]) ).
fof(f3204,plain,
( ~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
& mtvisible(c_tptpgeo_member1_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f1133]) ).
fof(f3205,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3206,plain,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3208,plain,
borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(forward_subsumption_resolution,[status(thm)],[f1810,f3205]) ).
fof(f3209,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f3206,f3208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR069+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.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 : Mon Sep 21 14:42:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.40 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.46 % Elapsed time: 0.077821 seconds
% 0.15/0.46 % CPU time: 0.110105 seconds
% 0.15/0.46 % Total memory used: 22.101 MB
% 0.15/0.46 % Net memory used: 22.088 MB
%------------------------------------------------------------------------------