%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR042+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:13:04 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : CNFRefutation 0.11s
% 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(f1,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,conjecture,
? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x27_y64) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f32,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f107,plain,
! [X,Y] :
( borderson(Y,X)
| ~ borderson(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f108,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f110,plain,
! [ARG1] :
( ~ borderson(ARG1,c_georegion_l4_x27_y64)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f111,plain,
( ! [ARG1] : ~ borderson(ARG1,c_georegion_l4_x27_y64)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(miniscoping,[status(thm)],[f110]) ).
fof(f112,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
! [X0] : ~ borderson(X0,c_georegion_l4_x27_y64),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f114,plain,
borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
inference(forward_subsumption_resolution,[status(thm)],[f33,f112]) ).
fof(f115,plain,
borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64),
inference(resolution,[status(thm)],[f114,f108]) ).
fof(f116,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f115,f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR042+1 : 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 : n018.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 14:34:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.042914 seconds
% 0.11/0.42 % CPU time: 0.067386 seconds
% 0.11/0.42 % Total memory used: 3.504 MB
% 0.11/0.42 % Net memory used: 3.465 MB
%------------------------------------------------------------------------------