%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP182-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 20:19:40 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% 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(f5,axiom,
    ! [X,Y] : least_upper_bound(X,Y) = least_upper_bound(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,Y] : greatest_lower_bound(X,least_upper_bound(X,Y)) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    greatest_lower_bound(identity,least_upper_bound(a,identity)) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,plain,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f30,plain,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f38,plain,
    greatest_lower_bound(identity,least_upper_bound(a,identity)) != identity,
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f39,plain,
    greatest_lower_bound(identity,least_upper_bound(identity,a)) != identity,
    inference(forward_demodulation,[status(thm)],[f24,f38]) ).

fof(f40,plain,
    identity != identity,
    inference(forward_demodulation,[status(thm)],[f30,f39]) ).

fof(f41,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP182-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 00:38:11 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.015703 seconds
% 0.14/0.37  % CPU time: 0.026439 seconds
% 0.14/0.37  % Total memory used: 2.472 MB
% 0.14/0.37  % Net memory used: 2.362 MB
%------------------------------------------------------------------------------