%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP162-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 12:10:46 EDT 2023

% Result   : Unsatisfiable 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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;   3 con; 0-2 aty)
%            Number of variables   :    7 (;   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X,Y,Z] : least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,hypothesis,
    least_upper_bound(a,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,hypothesis,
    least_upper_bound(b,c) = c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    least_upper_bound(a,c) != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,plain,
    ! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f34,plain,
    least_upper_bound(a,b) = b,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f35,plain,
    least_upper_bound(b,c) = c,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f36,plain,
    least_upper_bound(a,c) != c,
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f43,plain,
    ! [X0] : least_upper_bound(a,least_upper_bound(b,X0)) = least_upper_bound(b,X0),
    inference(paramodulation,[status(thm)],[f34,f25]) ).

fof(f413,plain,
    least_upper_bound(a,c) = least_upper_bound(b,c),
    inference(paramodulation,[status(thm)],[f35,f43]) ).

fof(f414,plain,
    least_upper_bound(a,c) = c,
    inference(forward_demodulation,[status(thm)],[f35,f413]) ).

fof(f415,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f414,f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : GRP162-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.04/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n003.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 11:29:38 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.27  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28  % Elapsed time: 0.015158 seconds
% 0.07/0.28  % CPU time: 0.046808 seconds
% 0.07/0.28  % Memory used: 1.501 MB
%------------------------------------------------------------------------------