TSTP Solution File: CSR042+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR042+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:14:33 EDT 2024

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   5 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   32 (  14   ~;  10   |;   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   :   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/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [X,Y] :
      ( borderson(X,Y)
     => borderson(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(ARG1,c_georegion_l4_x27_y64) ),
    file('/export/starexec/sandbox/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,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    inference(pre_NNF_transformation,[status(esa)],[f1]) ).

fof(f33,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f107,plain,
    ! [X,Y] :
      ( ~ borderson(X,Y)
      | borderson(Y,X) ),
    inference(pre_NNF_transformation,[status(esa)],[f28]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f107]) ).

fof(f110,plain,
    ! [ARG1] :
      ( mtvisible(c_tptpgeo_member7_mt)
      & ~ borderson(ARG1,c_georegion_l4_x27_y64) ),
    inference(pre_NNF_transformation,[status(esa)],[f31]) ).

fof(f111,plain,
    ( mtvisible(c_tptpgeo_member7_mt)
    & ! [ARG1] : ~ borderson(ARG1,c_georegion_l4_x27_y64) ),
    inference(miniscoping,[status(esa)],[f110]) ).

fof(f112,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[status(esa)],[f111]) ).

fof(f113,plain,
    ! [X0] : ~ borderson(X0,c_georegion_l4_x27_y64),
    inference(cnf_transformation,[status(esa)],[f111]) ).

fof(f114,plain,
    ( spl0_0
  <=> mtvisible(c_tptpgeo_member7_mt) ),
    introduced(split_symbol_definition) ).

fof(f116,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f114]) ).

fof(f117,plain,
    ( spl0_1
  <=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    introduced(split_symbol_definition) ).

fof(f118,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f117]) ).

fof(f120,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f33,f114,f117]) ).

fof(f121,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f116,f112]) ).

fof(f122,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f121]) ).

fof(f125,plain,
    ( borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f118,f108]) ).

fof(f126,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f125,f113]) ).

fof(f127,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f126]) ).

fof(f128,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f120,f122,f127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : CSR042+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 : Mon Apr 29 23:49:26 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Drodi V3.6.0
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36  % Elapsed time: 0.015683 seconds
% 0.13/0.36  % CPU time: 0.018111 seconds
% 0.13/0.36  % Total memory used: 4.687 MB
% 0.13/0.36  % Net memory used: 4.539 MB
%------------------------------------------------------------------------------