%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP166-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n025.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 07:02:15 EDT 2022

% Result   : Unsatisfiable 0.46s 0.67s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (  10 unt;   0 nHn;   5 RR)
%            Number of literals    :   10 (   9 equ;   3 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   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = multiply(identity,X),
    file('/tmp/MaedMax_16684') ).

cnf(eq_1,axiom,
    least_upper_bound(X,Y) = least_upper_bound(Y,X),
    file('/tmp/MaedMax_16684') ).

cnf(eq_2,axiom,
    multiply(least_upper_bound(X,Y),Z) = least_upper_bound(multiply(X,Z),multiply(Y,Z)),
    file('/tmp/MaedMax_16684') ).

cnf(eq_3,axiom,
    least_upper_bound(b,identity) = b,
    file('/tmp/MaedMax_16684') ).

cnf(eq_4,negated_conjecture,
    multiply(b,a) != least_upper_bound(a,multiply(b,a)),
    file('/tmp/MaedMax_16684') ).

cnf(eq_5,plain,
    least_upper_bound(X,multiply(x102,X)) = multiply(least_upper_bound(identity,x102),X),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_6,plain,
    multiply(least_upper_bound(identity,X),Y) = least_upper_bound(Y,multiply(X,Y)),
    eq_5 ).

cnf(eq_7,negated_conjecture,
    multiply(least_upper_bound(identity,b),a) != multiply(b,a),
    inference(cp,[status(thm)],[eq_6,eq_4]) ).

cnf(eq_8,negated_conjecture,
    multiply(b,a) != multiply(b,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_1]),eq_3]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP166-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n025.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 04:26:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.46/0.67  % SZS status Unsatisfiable
% 0.46/0.67  % SZS output start CNFRefutation for /tmp/MaedMax_16684
% See solution above
% 0.46/0.67  
%------------------------------------------------------------------------------