%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM019-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 20:30:12 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,hypothesis,
    ! [X] : equalish(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    ! [X,Y,Z] :
      ( ~ equalish(X,Y)
      | ~ equalish(X,Z)
      | equalish(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,hypothesis,
    equalish(a,aa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ~ equalish(aa,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ! [X0] : equalish(X0,X0),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f19,plain,
    ! [Y,Z] :
      ( ! [X] :
          ( ~ equalish(X,Y)
          | ~ equalish(X,Z) )
      | equalish(Y,Z) ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ~ equalish(X0,X1)
      | ~ equalish(X0,X2)
      | equalish(X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f22,plain,
    equalish(a,aa),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f23,plain,
    ~ equalish(aa,a),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ equalish(X0,X1)
      | equalish(X1,X0) ),
    inference(resolution,[status(thm)],[f20,f18]) ).

fof(f26,plain,
    equalish(aa,a),
    inference(resolution,[status(thm)],[f25,f22]) ).

fof(f27,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f26,f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM019-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n019.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 : Mon Apr 29 20:53:14 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.017574 seconds
% 0.13/0.37  % CPU time: 0.016971 seconds
% 0.13/0.37  % Total memory used: 3.676 MB
% 0.13/0.37  % Net memory used: 3.590 MB
%------------------------------------------------------------------------------