↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR047+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 : n012.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 12:13:08 PM UTC 2026

% Result   : Theorem 0.27s 0.45s
% Output   : CNFRefutation 0.27s
% 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(f1237,axiom,
    ( mtvisible(c_tptpgeo_member4_mt)
   => borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    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,
    ( mtvisible(c_tptpgeo_member4_mt)
   => borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member4_mt)
     => borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f9739,plain,
    ( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
    | ~ mtvisible(c_tptpgeo_member4_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f1237]) ).

fof(f9740,plain,
    ( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
    | ~ mtvisible(c_tptpgeo_member4_mt) ),
    inference(cnf_transformation,[status(thm)],[f9739]) ).

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,
    ( ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50)
    & mtvisible(c_tptpgeo_member4_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f8007]) ).

fof(f21392,plain,
    mtvisible(c_tptpgeo_member4_mt),
    inference(cnf_transformation,[status(thm)],[f21391]) ).

fof(f21393,plain,
    ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
    inference(cnf_transformation,[status(thm)],[f21391]) ).

fof(f21394,plain,
    borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
    inference(forward_subsumption_resolution,[status(thm)],[f9740,f21392]) ).

fof(f21397,plain,
    borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
    inference(resolution,[status(thm)],[f20668,f21394]) ).

fof(f21398,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f21397,f21393]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR047+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Mon Sep 21 14:33:51 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.08/0.38  % Drodi V4.1.1
% 0.27/0.45  % Refutation found
% 0.27/0.45  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.27/0.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.51  % Elapsed time: 0.197932 seconds
% 0.27/0.51  % CPU time: 0.488995 seconds
% 0.27/0.51  % Total memory used: 385.864 MB
% 0.27/0.51  % Net memory used: 385.223 MB
%------------------------------------------------------------------------------