%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP182-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Wed May 31 12:10:53 EDT 2023

% Result   : Unsatisfiable 0.05s 0.26s
% Output   : CNFRefutation 0.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X,Y] : greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X,Y] : least_upper_bound(X,greatest_lower_bound(X,Y)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    least_upper_bound(identity,greatest_lower_bound(a,identity)) != identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,plain,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f26,plain,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f32,plain,
    least_upper_bound(identity,greatest_lower_bound(a,identity)) != identity,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f33,plain,
    least_upper_bound(identity,greatest_lower_bound(identity,a)) != identity,
    inference(forward_demodulation,[status(thm)],[f20,f32]) ).

fof(f34,plain,
    identity != identity,
    inference(forward_demodulation,[status(thm)],[f26,f33]) ).

fof(f35,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : GRP182-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.05/0.25  % Computer : n009.cluster.edu
% 0.05/0.25  % Model    : x86_64 x86_64
% 0.05/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.25  % Memory   : 8042.1875MB
% 0.05/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.05/0.25  % CPULimit : 300
% 0.05/0.25  % WCLimit  : 300
% 0.05/0.25  % DateTime : Tue May 30 11:27:46 EDT 2023
% 0.05/0.25  % CPUTime  : 
% 0.05/0.25  % Drodi V3.5.1
% 0.05/0.26  % Refutation found
% 0.05/0.26  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.05/0.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.47  % Elapsed time: 0.005145 seconds
% 0.09/0.47  % CPU time: 0.015042 seconds
% 0.09/0.47  % Memory used: 735.537 KB
%------------------------------------------------------------------------------