%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR047+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 : 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 12:13:07 PM UTC 2026
% Result : Theorem 0.03s 0.42s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f383,axiom,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f900,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1691,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ mtvisible(c_tptpgeo_member4_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f383]) ).
fof(f1692,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| ~ mtvisible(c_tptpgeo_member4_mt) ),
inference(cnf_transformation,[status(thm)],[f1691]) ).
fof(f2695,plain,
! [X,Y] :
( borderson(Y,X)
| ~ borderson(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f900]) ).
fof(f2696,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2695]) ).
fof(f3204,plain,
( ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50)
& mtvisible(c_tptpgeo_member4_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f1133]) ).
fof(f3205,plain,
mtvisible(c_tptpgeo_member4_mt),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3206,plain,
~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3207,plain,
borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
inference(forward_subsumption_resolution,[status(thm)],[f1692,f3205]) ).
fof(f3208,plain,
borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
inference(resolution,[status(thm)],[f3207,f2696]) ).
fof(f3209,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3208,f3206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR047+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Mon Sep 21 14:33:39 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.39 % Drodi V4.1.1
% 0.03/0.42 % Refutation found
% 0.03/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.45 % Elapsed time: 0.086023 seconds
% 0.03/0.45 % CPU time: 0.212716 seconds
% 0.03/0.45 % Total memory used: 101.238 MB
% 0.03/0.45 % Net memory used: 101.179 MB
%------------------------------------------------------------------------------