%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : MGT045+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 20:28:48 EDT 2024

% Result   : Theorem 0.15s 0.32s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   29 (   6 unt;   0 def)
%            Number of atoms       :   71 (   6 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   69 (  27   ~;  23   |;  10   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   32 (  29   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X,T0,T] :
      ( organization(X)
     => ( ( greater(external_ties(X,T),external_ties(X,T0))
         => greater(position(X,T),position(X,T0)) )
        & ( external_ties(X,T) = external_ties(X,T0)
         => position(X,T) = position(X,T0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & greater(age(X,T),age(X,T0)) )
     => greater(external_ties(X,T),external_ties(X,T0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,conjecture,
    ! [X,T0,T] :
      ( ( organization(X)
        & greater(age(X,T),age(X,T0)) )
     => greater(position(X,T),position(X,T0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ~ ! [X,T0,T] :
        ( ( organization(X)
          & greater(age(X,T),age(X,T0)) )
       => greater(position(X,T),position(X,T0)) ),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f31,plain,
    ! [X,T0,T] :
      ( ~ organization(X)
      | ( ( ~ greater(external_ties(X,T),external_ties(X,T0))
          | greater(position(X,T),position(X,T0)) )
        & ( external_ties(X,T) != external_ties(X,T0)
          | position(X,T) = position(X,T0) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f32,plain,
    ! [X] :
      ( ~ organization(X)
      | ( ! [T0,T] :
            ( ~ greater(external_ties(X,T),external_ties(X,T0))
            | greater(position(X,T),position(X,T0)) )
        & ! [T0,T] :
            ( external_ties(X,T) != external_ties(X,T0)
            | position(X,T) = position(X,T0) ) ) ),
    inference(miniscoping,[status(esa)],[f31]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | ~ greater(external_ties(X0,X1),external_ties(X0,X2))
      | greater(position(X0,X1),position(X0,X2)) ),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f35,plain,
    ! [X,T0,T] :
      ( ~ organization(X)
      | ~ greater(age(X,T),age(X,T0))
      | greater(external_ties(X,T),external_ties(X,T0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | ~ greater(age(X0,X1),age(X0,X2))
      | greater(external_ties(X0,X1),external_ties(X0,X2)) ),
    inference(cnf_transformation,[status(esa)],[f35]) ).

fof(f37,plain,
    ? [X,T0,T] :
      ( organization(X)
      & greater(age(X,T),age(X,T0))
      & ~ greater(position(X,T),position(X,T0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f38,plain,
    ( organization(sk0_0)
    & greater(age(sk0_0,sk0_2),age(sk0_0,sk0_1))
    & ~ greater(position(sk0_0,sk0_2),position(sk0_0,sk0_1)) ),
    inference(skolemization,[status(esa)],[f37]) ).

fof(f39,plain,
    organization(sk0_0),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f40,plain,
    greater(age(sk0_0,sk0_2),age(sk0_0,sk0_1)),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f41,plain,
    ~ greater(position(sk0_0,sk0_2),position(sk0_0,sk0_1)),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f46,plain,
    ( spl0_0
  <=> organization(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f48,plain,
    ( ~ organization(sk0_0)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f46]) ).

fof(f49,plain,
    ( spl0_1
  <=> greater(external_ties(sk0_0,sk0_2),external_ties(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f50,plain,
    ( greater(external_ties(sk0_0,sk0_2),external_ties(sk0_0,sk0_1))
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f49]) ).

fof(f52,plain,
    ( ~ organization(sk0_0)
    | greater(external_ties(sk0_0,sk0_2),external_ties(sk0_0,sk0_1)) ),
    inference(resolution,[status(thm)],[f36,f40]) ).

fof(f53,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f52,f46,f49]) ).

fof(f54,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f48,f39]) ).

fof(f55,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f54]) ).

fof(f56,plain,
    ( spl0_2
  <=> greater(position(sk0_0,sk0_2),position(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f57,plain,
    ( greater(position(sk0_0,sk0_2),position(sk0_0,sk0_1))
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f56]) ).

fof(f59,plain,
    ( ~ organization(sk0_0)
    | greater(position(sk0_0,sk0_2),position(sk0_0,sk0_1))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f50,f33]) ).

fof(f60,plain,
    ( ~ spl0_0
    | spl0_2
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f59,f46,f56,f49]) ).

fof(f63,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f57,f41]) ).

fof(f64,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f63]) ).

fof(f65,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f53,f55,f60,f64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : MGT045+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Apr 29 23:46:05 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.32  % Refutation found
% 0.15/0.32  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.33  % Elapsed time: 0.017623 seconds
% 0.15/0.33  % CPU time: 0.029254 seconds
% 0.15/0.33  % Total memory used: 11.159 MB
% 0.15/0.33  % Net memory used: 11.115 MB
%------------------------------------------------------------------------------