TSTP Solution File: CSR047+2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR047+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 0.14s 0.34s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (  13   ~;  10   |;   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(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,
    ( ~ mtvisible(c_tptpgeo_member4_mt)
    | borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    inference(pre_NNF_transformation,[status(esa)],[f383]) ).

fof(f1692,plain,
    ( ~ mtvisible(c_tptpgeo_member4_mt)
    | borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    inference(cnf_transformation,[status(esa)],[f1691]) ).

fof(f2695,plain,
    ! [X,Y] :
      ( ~ borderson(X,Y)
      | borderson(Y,X) ),
    inference(pre_NNF_transformation,[status(esa)],[f900]) ).

fof(f2696,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f2695]) ).

fof(f3204,plain,
    ( mtvisible(c_tptpgeo_member4_mt)
    & ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
    inference(pre_NNF_transformation,[status(esa)],[f1133]) ).

fof(f3205,plain,
    mtvisible(c_tptpgeo_member4_mt),
    inference(cnf_transformation,[status(esa)],[f3204]) ).

fof(f3206,plain,
    ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
    inference(cnf_transformation,[status(esa)],[f3204]) ).

fof(f3414,plain,
    ( spl0_56
  <=> mtvisible(c_tptpgeo_member4_mt) ),
    introduced(split_symbol_definition) ).

fof(f3416,plain,
    ( ~ mtvisible(c_tptpgeo_member4_mt)
    | spl0_56 ),
    inference(component_clause,[status(thm)],[f3414]) ).

fof(f3417,plain,
    ( spl0_57
  <=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    introduced(split_symbol_definition) ).

fof(f3418,plain,
    ( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
    | ~ spl0_57 ),
    inference(component_clause,[status(thm)],[f3417]) ).

fof(f3420,plain,
    ( ~ spl0_56
    | spl0_57 ),
    inference(split_clause,[status(thm)],[f1692,f3414,f3417]) ).

fof(f3487,plain,
    ( $false
    | spl0_56 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3416,f3205]) ).

fof(f3488,plain,
    spl0_56,
    inference(contradiction_clause,[status(thm)],[f3487]) ).

fof(f3489,plain,
    ( borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50)
    | ~ spl0_57 ),
    inference(resolution,[status(thm)],[f3418,f2696]) ).

fof(f3490,plain,
    ( $false
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3489,f3206]) ).

fof(f3491,plain,
    ~ spl0_57,
    inference(contradiction_clause,[status(thm)],[f3490]) ).

fof(f3492,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f3420,f3488,f3491]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : CSR047+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n031.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue Apr 30 00:32:13 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.14/0.32  % Drodi V3.6.0
% 0.14/0.34  % Refutation found
% 0.14/0.34  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.35  % Elapsed time: 0.039366 seconds
% 0.14/0.35  % CPU time: 0.053219 seconds
% 0.14/0.35  % Total memory used: 19.022 MB
% 0.14/0.35  % Net memory used: 18.988 MB
%------------------------------------------------------------------------------