%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n004.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 07:02:23 EDT 2022

% Result   : Unsatisfiable 1.26s 1.45s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (  11 unt;   0 nHn;   4 RR)
%            Number of literals    :   11 (  10 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    identity = multiply(inverse(X),X),
    file('/tmp/MaedMax_28814') ).

cnf(eq_1,axiom,
    least_upper_bound(X,Y) = least_upper_bound(Y,X),
    file('/tmp/MaedMax_28814') ).

cnf(eq_2,axiom,
    multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
    file('/tmp/MaedMax_28814') ).

cnf(eq_3,axiom,
    X = inverse(inverse(X)),
    file('/tmp/MaedMax_28814') ).

cnf(eq_4,negated_conjecture,
    multiply(a,least_upper_bound(inverse(a),b)) != least_upper_bound(multiply(a,b),identity),
    file('/tmp/MaedMax_28814') ).

cnf(eq_5,plain,
    multiply(X,inverse(X)) = identity,
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_6,plain,
    least_upper_bound(identity,multiply(X,x102)) = multiply(X,least_upper_bound(inverse(X),x102)),
    inference(cp,[status(thm)],[eq_5,eq_2]) ).

cnf(eq_7,plain,
    multiply(X,least_upper_bound(inverse(X),Y)) = least_upper_bound(identity,multiply(X,Y)),
    eq_6 ).

cnf(eq_8,negated_conjecture,
    least_upper_bound(identity,multiply(a,b)) != least_upper_bound(multiply(a,b),identity),
    inference(cp,[status(thm)],[eq_7,eq_4]) ).

cnf(eq_9,negated_conjecture,
    least_upper_bound(identity,multiply(a,b)) != least_upper_bound(identity,multiply(a,b)),
    inference(rw,[status(thm)],[eq_8,eq_1]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.12/0.32  % Computer : n004.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Tue Jul 26 04:06:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.26/1.45  % SZS status Unsatisfiable
% 1.26/1.45  % SZS output start CNFRefutation for /tmp/MaedMax_28814
% See solution above
% 1.26/1.45  
%------------------------------------------------------------------------------