%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP146-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n024.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 Jul 26 07:02:12 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   6 equ;   2 neg)
%            Maximal clause size   :    1 (   1 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   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    least_upper_bound(X,Y) = least_upper_bound(Y,X),
    file('/tmp/MaedMax_15631') ).

cnf(eq_1,axiom,
    least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z),
    file('/tmp/MaedMax_15631') ).

cnf(eq_2,axiom,
    least_upper_bound(a,c) = c,
    file('/tmp/MaedMax_15631') ).

cnf(eq_3,axiom,
    least_upper_bound(b,c) = c,
    file('/tmp/MaedMax_15631') ).

cnf(eq_4,negated_conjecture,
    least_upper_bound(least_upper_bound(a,b),c) != c,
    file('/tmp/MaedMax_15631') ).

cnf(eq_5,negated_conjecture,
    c != c,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_0]),eq_1]),eq_2]),eq_3]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP146-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n024.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 : Tue Jul 26 04:18:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.50  % SZS status Unsatisfiable
% 0.20/0.50  % SZS output start CNFRefutation for /tmp/MaedMax_15631
% See solution above
% 0.20/0.50  
%------------------------------------------------------------------------------