%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 12:09:40 EDT 2023

% Result   : Unsatisfiable 0.11s 0.53s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X] : product(X,identity,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y,Z,W] :
      ( ~ product(X,Y,Z)
      | ~ product(X,Y,W)
      | Z = W ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,hypothesis,
    ! [A] : product(c,A,A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    identity != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ! [X0] : product(X0,identity,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f17,plain,
    ! [Z,W] :
      ( ! [X,Y] :
          ( ~ product(X,Y,Z)
          | ~ product(X,Y,W) )
      | Z = W ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X1,X3)
      | X2 = X3 ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f23,plain,
    ! [X0] : product(c,X0,X0),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f25,plain,
    identity != c,
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ product(c,X0,X1)
      | X1 = X0 ),
    inference(resolution,[status(thm)],[f18,f23]) ).

fof(f34,plain,
    c = identity,
    inference(resolution,[status(thm)],[f27,f13]) ).

fof(f35,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f34,f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07  % Problem  : GRP007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26  % Computer : n014.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Tue May 30 11:27:18 EDT 2023
% 0.06/0.26  % CPUTime  : 
% 0.06/0.27  % Drodi V3.5.1
% 0.11/0.53  % Refutation found
% 0.11/0.53  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.53  % Elapsed time: 0.048380 seconds
% 0.11/0.53  % CPU time: 0.021210 seconds
% 0.11/0.53  % Memory used: 1.015 MB
%------------------------------------------------------------------------------