%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP168-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n013.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 07:02:16 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   4 RR)
%            Number of literals    :    6 (   5 equ;   2 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    multiply(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(multiply(X,Y),multiply(X,Z)),
    file('/tmp/MaedMax_6051') ).

cnf(eq_1,axiom,
    multiply(greatest_lower_bound(X,Y),Z) = greatest_lower_bound(multiply(X,Z),multiply(Y,Z)),
    file('/tmp/MaedMax_6051') ).

cnf(eq_2,axiom,
    greatest_lower_bound(a,b) = a,
    file('/tmp/MaedMax_6051') ).

cnf(eq_3,negated_conjecture,
    multiply(inverse(c),multiply(a,c)) != greatest_lower_bound(multiply(inverse(c),multiply(a,c)),multiply(inverse(c),multiply(b,c))),
    file('/tmp/MaedMax_6051') ).

cnf(eq_4,negated_conjecture,
    multiply(inverse(c),multiply(a,c)) != multiply(inverse(c),multiply(a,c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_0]),eq_1]),eq_2]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP168-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n013.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 04:11:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  % SZS status Unsatisfiable
% 0.18/0.49  % SZS output start CNFRefutation for /tmp/MaedMax_6051
% See solution above
% 0.18/0.49  
%------------------------------------------------------------------------------