%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LAT039-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n020.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 07:05:26 EDT 2022

% Result   : Unsatisfiable 0.45s 0.66s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   9 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   8 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   2 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   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    join(X,Y) = join(Y,X),
    file('/tmp/MaedMax_16191') ).

cnf(eq_1,axiom,
    meet(join(X,Y),join(X,Z)) = join(X,meet(Y,Z)),
    file('/tmp/MaedMax_16191') ).

cnf(eq_2,axiom,
    join(xx,yy) = yy,
    file('/tmp/MaedMax_16191') ).

cnf(eq_3,negated_conjecture,
    meet(yy,join(xx,zz)) != join(xx,meet(yy,zz)),
    file('/tmp/MaedMax_16191') ).

cnf(eq_4,plain,
    meet(yy,join(xx,x102)) = join(xx,meet(yy,x102)),
    inference(cp,[status(thm)],[eq_2,eq_1]) ).

cnf(eq_5,plain,
    meet(yy,join(xx,X)) = join(xx,meet(yy,X)),
    eq_4 ).

cnf(eq_6,negated_conjecture,
    meet(yy,join(zz,xx)) != join(xx,meet(yy,zz)),
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_7,negated_conjecture,
    meet(yy,join(zz,xx)) != meet(yy,join(zz,xx)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_5]),eq_0]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT039-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n020.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 05:13:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.45/0.66  % SZS status Unsatisfiable
% 0.45/0.66  % SZS output start CNFRefutation for /tmp/MaedMax_16191
% See solution above
% 0.45/0.66  
%------------------------------------------------------------------------------