TSTP Solution File: CSR067+3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR067+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:14:50 EDT 2024

% Result   : Theorem 0.20s 0.62s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   31 (  14   ~;   9   |;   2   &)
%                                         (   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   :   12 (  10   !;   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,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x29_y75,c_georegion_l4_x30_y75) ),
    inference(pre_NNF_transformation,[status(esa)],[f236]) ).

fof(f8320,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x29_y75,c_georegion_l4_x30_y75) ),
    inference(cnf_transformation,[status(esa)],[f8319]) ).

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,
    ! [ARG1] :
      ( mtvisible(c_tptpgeo_member7_mt)
      & ~ borderson(ARG1,c_georegion_l4_x29_y75) ),
    inference(pre_NNF_transformation,[status(esa)],[f8007]) ).

fof(f21392,plain,
    ( mtvisible(c_tptpgeo_member7_mt)
    & ! [ARG1] : ~ borderson(ARG1,c_georegion_l4_x29_y75) ),
    inference(miniscoping,[status(esa)],[f21391]) ).

fof(f21393,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[status(esa)],[f21392]) ).

fof(f21394,plain,
    ! [X0] : ~ borderson(X0,c_georegion_l4_x29_y75),
    inference(cnf_transformation,[status(esa)],[f21392]) ).

fof(f21550,plain,
    ( spl0_43
  <=> mtvisible(c_tptpgeo_member7_mt) ),
    introduced(split_symbol_definition) ).

fof(f21552,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | spl0_43 ),
    inference(component_clause,[status(thm)],[f21550]) ).

fof(f21553,plain,
    ( spl0_44
  <=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x30_y75) ),
    introduced(split_symbol_definition) ).

fof(f21554,plain,
    ( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x30_y75)
    | ~ spl0_44 ),
    inference(component_clause,[status(thm)],[f21553]) ).

fof(f21556,plain,
    ( ~ spl0_43
    | spl0_44 ),
    inference(split_clause,[status(thm)],[f8320,f21550,f21553]) ).

fof(f24604,plain,
    ! [X0] : ~ borderson(c_georegion_l4_x29_y75,X0),
    inference(resolution,[status(thm)],[f20668,f21394]) ).

fof(f24706,plain,
    ( $false
    | spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f21552,f21393]) ).

fof(f24707,plain,
    spl0_43,
    inference(contradiction_clause,[status(thm)],[f24706]) ).

fof(f24708,plain,
    ( $false
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[status(thm)],[f21554,f24604]) ).

fof(f24709,plain,
    ~ spl0_44,
    inference(contradiction_clause,[status(thm)],[f24708]) ).

fof(f24710,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21556,f24707,f24709]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : CSR067+3 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 00:03:14 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.49  % Drodi V3.6.0
% 0.20/0.62  % Refutation found
% 0.20/0.62  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.63  % Elapsed time: 0.276259 seconds
% 0.20/0.63  % CPU time: 0.764583 seconds
% 0.20/0.63  % Total memory used: 361.997 MB
% 0.20/0.63  % Net memory used: 360.301 MB
%------------------------------------------------------------------------------