%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP149-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %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 : Tue Jul 26 07:02:12 EDT 2022

% Result   : Unsatisfiable 0.36s 0.60s
% Output   : CNFRefutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  19 unt;   0 nHn;  11 RR)
%            Number of literals    :   19 (  18 equ;   4 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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X),
    file('/tmp/MaedMax_9871') ).

cnf(eq_1,axiom,
    least_upper_bound(X,Y) = least_upper_bound(Y,X),
    file('/tmp/MaedMax_9871') ).

cnf(eq_2,axiom,
    least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z),
    file('/tmp/MaedMax_9871') ).

cnf(eq_3,axiom,
    X = least_upper_bound(X,greatest_lower_bound(X,Y)),
    file('/tmp/MaedMax_9871') ).

cnf(eq_4,axiom,
    greatest_lower_bound(a,c) = a,
    file('/tmp/MaedMax_9871') ).

cnf(eq_5,axiom,
    greatest_lower_bound(b,c) = b,
    file('/tmp/MaedMax_9871') ).

cnf(eq_6,negated_conjecture,
    least_upper_bound(least_upper_bound(a,b),c) != c,
    file('/tmp/MaedMax_9871') ).

cnf(eq_7,negated_conjecture,
    least_upper_bound(c,least_upper_bound(b,a)) != c,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_1]),eq_2]),eq_1]),eq_10]) ).

cnf(eq_8,plain,
    least_upper_bound(Y,greatest_lower_bound(X,Y)) = Y,
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_9,plain,
    least_upper_bound(least_upper_bound(Y,X),x102) = least_upper_bound(X,least_upper_bound(Y,x102)),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_10,plain,
    least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(Y,least_upper_bound(X,Z)),
    inference(rw,[status(thm)],[eq_9,eq_2]) ).

cnf(eq_11,plain,
    X = least_upper_bound(X,greatest_lower_bound(Y,X)),
    eq_8 ).

cnf(eq_12,negated_conjecture,
    least_upper_bound(b,least_upper_bound(a,c)) != c,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_10]),eq_1]) ).

cnf(eq_13,plain,
    least_upper_bound(c,a) = c,
    inference(cp,[status(thm)],[eq_4,eq_11]) ).

cnf(eq_14,plain,
    least_upper_bound(c,b) = c,
    inference(cp,[status(thm)],[eq_5,eq_11]) ).

cnf(eq_15,plain,
    least_upper_bound(b,c) = c,
    inference(rw,[status(thm)],[eq_14,eq_1]) ).

cnf(eq_16,plain,
    least_upper_bound(a,c) = c,
    inference(rw,[status(thm)],[eq_13,eq_1]) ).

cnf(eq_17,negated_conjecture,
    c != c,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_16]),eq_15]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP149-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 04:18:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.36/0.60  % SZS status Unsatisfiable
% 0.36/0.60  % SZS output start CNFRefutation for /tmp/MaedMax_9871
% See solution above
% 0.36/0.60  
%------------------------------------------------------------------------------