%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP162-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n026.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 07:02:14 EDT 2022

% Result   : Unsatisfiable 0.48s 0.64s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   9 RR)
%            Number of literals    :   14 (  13 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    least_upper_bound(X,Y) = least_upper_bound(Y,X),
    file('/tmp/MaedMax_3003') ).

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_3003') ).

cnf(eq_2,axiom,
    least_upper_bound(a,b) = b,
    file('/tmp/MaedMax_3003') ).

cnf(eq_3,axiom,
    least_upper_bound(b,c) = c,
    file('/tmp/MaedMax_3003') ).

cnf(eq_4,negated_conjecture,
    least_upper_bound(a,c) != c,
    file('/tmp/MaedMax_3003') ).

cnf(eq_5,plain,
    least_upper_bound(b,x102) = least_upper_bound(a,least_upper_bound(b,x102)),
    inference(cp,[status(thm)],[eq_2,eq_1]) ).

cnf(eq_6,plain,
    least_upper_bound(least_upper_bound(Y,X),x102) = least_upper_bound(X,least_upper_bound(Y,x102)),
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_7,plain,
    least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(Y,least_upper_bound(X,Z)),
    inference(rw,[status(thm)],[eq_6,eq_1]) ).

cnf(eq_8,plain,
    least_upper_bound(b,X) = least_upper_bound(b,least_upper_bound(a,X)),
    inference(rw,[status(thm)],[eq_5,eq_7]) ).

cnf(eq_9,plain,
    least_upper_bound(b,least_upper_bound(a,c)) = c,
    inference(cp,[status(thm)],[eq_8,eq_3]) ).

cnf(eq_10,plain,
    least_upper_bound(a,least_upper_bound(b,c)) = c,
    inference(cp,[status(thm)],[eq_7,eq_9]) ).

cnf(eq_11,plain,
    least_upper_bound(a,c) = c,
    inference(rw,[status(thm)],[eq_10,eq_3]) ).

cnf(eq_12,negated_conjecture,
    c != c,
    inference(cp,[status(thm)],[eq_11,eq_4]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP162-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.14/0.13  % Command  : run_maedmax %d %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Jul 26 04:23:08 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.48/0.64  % SZS status Unsatisfiable
% 0.48/0.64  % SZS output start CNFRefutation for /tmp/MaedMax_3003
% See solution above
% 0.48/0.64  
%------------------------------------------------------------------------------