TSTP Solution File: CSR047+3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR047+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:14:37 EDT 2024

% Result   : Theorem 0.42s 0.68s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   6 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   29 (  13   ~;   9   |;   1   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 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/sandbox2/benchmark/theBenchmark.p') ).

fof(f7642,axiom,
    ! [X,Y] :
      ( borderson(X,Y)
     => borderson(Y,X) ),
    file('/export/starexec/sandbox2/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/sandbox2/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,
    ( ~ mtvisible(c_tptpgeo_member4_mt)
    | borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    inference(pre_NNF_transformation,[status(esa)],[f1237]) ).

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

fof(f20667,plain,
    ! [X,Y] :
      ( ~ borderson(X,Y)
      | borderson(Y,X) ),
    inference(pre_NNF_transformation,[status(esa)],[f7642]) ).

fof(f20668,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f20667]) ).

fof(f21391,plain,
    ( mtvisible(c_tptpgeo_member4_mt)
    & ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
    inference(pre_NNF_transformation,[status(esa)],[f8007]) ).

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

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

fof(f21513,plain,
    ( spl0_33
  <=> mtvisible(c_tptpgeo_member4_mt) ),
    introduced(split_symbol_definition) ).

fof(f21515,plain,
    ( ~ mtvisible(c_tptpgeo_member4_mt)
    | spl0_33 ),
    inference(component_clause,[status(thm)],[f21513]) ).

fof(f22366,plain,
    ( spl0_258
  <=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    introduced(split_symbol_definition) ).

fof(f22367,plain,
    ( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
    | ~ spl0_258 ),
    inference(component_clause,[status(thm)],[f22366]) ).

fof(f22369,plain,
    ( ~ spl0_33
    | spl0_258 ),
    inference(split_clause,[status(thm)],[f9740,f21513,f22366]) ).

fof(f24603,plain,
    ~ borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
    inference(resolution,[status(thm)],[f20668,f21393]) ).

fof(f24713,plain,
    ( $false
    | spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f21515,f21392]) ).

fof(f24714,plain,
    spl0_33,
    inference(contradiction_clause,[status(thm)],[f24713]) ).

fof(f24715,plain,
    ( $false
    | ~ spl0_258 ),
    inference(forward_subsumption_resolution,[status(thm)],[f22367,f24603]) ).

fof(f24716,plain,
    ~ spl0_258,
    inference(contradiction_clause,[status(thm)],[f24715]) ).

fof(f24717,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f22369,f24714,f24716]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : CSR047+3 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 00:27:32 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.56  % Drodi V3.6.0
% 0.42/0.68  % Refutation found
% 0.42/0.68  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.42/0.68  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.59/0.75  % Elapsed time: 0.373106 seconds
% 1.59/0.75  % CPU time: 0.809645 seconds
% 1.59/0.75  % Total memory used: 360.272 MB
% 1.59/0.75  % Net memory used: 358.376 MB
%------------------------------------------------------------------------------