TSTP Solution File: MGT049+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Wed May 31 12:21:23 EDT 2023

% Result   : Theorem 0.16s 0.56s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   4 unt;   0 def)
%            Number of atoms       :   44 (  19 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   43 (  16   ~;  12   |;   9   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (;  37   !;   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)
     => 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)) )
     => 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)) )
       => 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(f34,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | external_ties(X0,X1) != external_ties(X0,X2)
      | position(X0,X1) = position(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f32]) ).

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

fof(f36,plain,
    ! [X] :
      ( ~ organization(X)
      | ! [T0,T] : external_ties(X,T) = external_ties(X,T0) ),
    inference(miniscoping,[status(esa)],[f35]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | external_ties(X0,X1) = external_ties(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f38,plain,
    ? [X,T0,T] :
      ( organization(X)
      & greater(age(X,T),age(X,T0))
      & position(X,T) != position(X,T0) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f39,plain,
    ( organization(sk0_0)
    & greater(age(sk0_0,sk0_2),age(sk0_0,sk0_1))
    & position(sk0_0,sk0_2) != position(sk0_0,sk0_1) ),
    inference(skolemization,[status(esa)],[f38]) ).

fof(f40,plain,
    organization(sk0_0),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f42,plain,
    position(sk0_0,sk0_2) != position(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | position(X0,X1) = position(X0,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f34,f37]) ).

fof(f53,plain,
    ! [X0,X1] : position(sk0_0,X0) = position(sk0_0,X1),
    inference(resolution,[status(thm)],[f52,f40]) ).

fof(f54,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f42,f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n028.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Tue May 30 11:22:47 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  % Drodi V3.5.1
% 0.16/0.56  % Refutation found
% 0.16/0.56  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.56  % Elapsed time: 0.010511 seconds
% 0.16/0.56  % CPU time: 0.011293 seconds
% 0.16/0.56  % Memory used: 2.882 MB
%------------------------------------------------------------------------------