%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR067+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:13:22 PM UTC 2026
% Result : Theorem 0.13s 0.89s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 4 |; 2 &)
% ( 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 : 11 ( 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f236,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x30_y75) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7642,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8006,conjecture,
? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8007,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8319,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x30_y75)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f236]) ).
fof(f8320,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x30_y75)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(thm)],[f8319]) ).
fof(f20667,plain,
! [X,Y] :
( borderson(Y,X)
| ~ borderson(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f7642]) ).
fof(f20668,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20667]) ).
fof(f21391,plain,
! [ARG1] :
( ~ borderson(ARG1,c_georegion_l4_x29_y75)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f8007]) ).
fof(f21392,plain,
( ! [ARG1] : ~ borderson(ARG1,c_georegion_l4_x29_y75)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(miniscoping,[status(thm)],[f21391]) ).
fof(f21393,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[status(thm)],[f21392]) ).
fof(f21394,plain,
! [X0] : ~ borderson(X0,c_georegion_l4_x29_y75),
inference(cnf_transformation,[status(thm)],[f21392]) ).
fof(f21531,plain,
borderson(c_georegion_l4_x29_y75,c_georegion_l4_x30_y75),
inference(forward_subsumption_resolution,[status(thm)],[f8320,f21393]) ).
fof(f21532,plain,
borderson(c_georegion_l4_x30_y75,c_georegion_l4_x29_y75),
inference(resolution,[status(thm)],[f21531,f20668]) ).
fof(f21535,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f21532,f21394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR067+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.55 % Computer : n006.cluster.edu
% 0.11/0.55 % Model : x86_64 x86_64
% 0.11/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55 % Memory : 8046.5625MB
% 0.11/0.55 % OS : Linux 6.8.0-71-generic
% 0.11/0.55 % CPULimit : 300
% 0.11/0.55 % WCLimit : 300
% 0.11/0.55 % DateTime : Mon Sep 21 14:43:42 UTC 2026
% 0.11/0.55 % CPUTime :
% 0.13/0.72 % Drodi V4.1.1
% 0.13/0.89 % Refutation found
% 0.13/0.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.92 % Elapsed time: 0.360385 seconds
% 0.13/0.92 % CPU time: 1.064274 seconds
% 0.13/0.92 % Total memory used: 388.049 MB
% 0.13/0.92 % Net memory used: 387.420 MB
%------------------------------------------------------------------------------