%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP140-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n023.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 07:02:11 EDT 2022

% Result   : Unsatisfiable 1.20s 1.37s
% Output   : CNFRefutation 1.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   9 RR)
%            Number of literals    :   20 (  19 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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X),
    file('/tmp/MaedMax_17898') ).

cnf(eq_1,axiom,
    least_upper_bound(X,Y) = least_upper_bound(Y,X),
    file('/tmp/MaedMax_17898') ).

cnf(eq_2,axiom,
    greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z),
    file('/tmp/MaedMax_17898') ).

cnf(eq_3,axiom,
    X = least_upper_bound(X,greatest_lower_bound(X,Y)),
    file('/tmp/MaedMax_17898') ).

cnf(eq_4,axiom,
    greatest_lower_bound(a,c) = c,
    file('/tmp/MaedMax_17898') ).

cnf(eq_5,axiom,
    greatest_lower_bound(b,c) = c,
    file('/tmp/MaedMax_17898') ).

cnf(eq_6,negated_conjecture,
    greatest_lower_bound(a,b) != least_upper_bound(greatest_lower_bound(a,b),c),
    file('/tmp/MaedMax_17898') ).

cnf(eq_7,plain,
    greatest_lower_bound(greatest_lower_bound(X,Y),x102) = greatest_lower_bound(Y,greatest_lower_bound(X,x102)),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_8,plain,
    greatest_lower_bound(c,x102) = greatest_lower_bound(b,greatest_lower_bound(c,x102)),
    inference(cp,[status(thm)],[eq_5,eq_2]) ).

cnf(eq_9,plain,
    greatest_lower_bound(c,a) = c,
    inference(cp,[status(thm)],[eq_0,eq_4]) ).

cnf(eq_10,plain,
    least_upper_bound(Y,greatest_lower_bound(X,Y)) = Y,
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_11,plain,
    X = least_upper_bound(X,greatest_lower_bound(Y,X)),
    eq_10 ).

cnf(eq_12,plain,
    greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(Y,greatest_lower_bound(X,Z)),
    inference(rw,[status(thm)],[eq_7,eq_2]) ).

cnf(eq_13,plain,
    greatest_lower_bound(c,X) = greatest_lower_bound(c,greatest_lower_bound(b,X)),
    inference(rw,[status(thm)],[eq_8,eq_12]) ).

cnf(eq_14,plain,
    greatest_lower_bound(c,greatest_lower_bound(X,b)) = greatest_lower_bound(c,X),
    inference(cp,[status(thm)],[eq_0,eq_13]) ).

cnf(eq_15,plain,
    least_upper_bound(greatest_lower_bound(X,b),greatest_lower_bound(c,X)) = greatest_lower_bound(X,b),
    inference(cp,[status(thm)],[eq_14,eq_11]) ).

cnf(eq_16,plain,
    least_upper_bound(greatest_lower_bound(a,b),c) = greatest_lower_bound(a,b),
    inference(cp,[status(thm)],[eq_9,eq_15]) ).

cnf(eq_17,plain,
    greatest_lower_bound(a,b) = least_upper_bound(c,greatest_lower_bound(a,b)),
    inference(rw,[status(thm)],[eq_16,eq_1]) ).

cnf(eq_18,negated_conjecture,
    greatest_lower_bound(a,b) != greatest_lower_bound(a,b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_1]),eq_17]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GRP140-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 26 04:31:03 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.20/1.37  % SZS status Unsatisfiable
% 1.20/1.37  % SZS output start CNFRefutation for /tmp/MaedMax_17898
% See solution above
% 1.20/1.37  
%------------------------------------------------------------------------------