%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% 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 07:05:27 EDT 2022

% Result   : Unsatisfiable 0.76s 0.95s
% Output   : CNFRefutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   5 RR)
%            Number of literals    :   12 (  11 equ;   4 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;   4 con; 0-2 aty)
%            Number of variables   :   16 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = meet(X,join(X,Y)),
    file('/tmp/MaedMax_10938') ).

cnf(eq_1,axiom,
    meet(X,Y) = meet(Y,X),
    file('/tmp/MaedMax_10938') ).

cnf(eq_2,axiom,
    join(X,Y) = join(Y,X),
    file('/tmp/MaedMax_10938') ).

cnf(eq_3,axiom,
    meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
    file('/tmp/MaedMax_10938') ).

cnf(eq_4,negated_conjecture,
    meet(join(a,b),join(a,c)) != join(a,meet(b,join(a,c))),
    file('/tmp/MaedMax_10938') ).

cnf(eq_5,negated_conjecture,
    meet(join(c,a),join(b,a)) != join(a,meet(b,join(c,a))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_2]),eq_2]),eq_1]),eq_2]) ).

cnf(eq_6,plain,
    meet(X,join(Y,X)) = X,
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_7,plain,
    join(meet(X,Y),meet(Y,x102)) = meet(Y,join(X,x102)),
    inference(cp,[status(thm)],[eq_1,eq_3]) ).

cnf(eq_8,plain,
    meet(X,join(Y,Z)) = join(meet(Y,X),meet(X,Z)),
    eq_7 ).

cnf(eq_9,negated_conjecture,
    join(meet(b,join(c,a)),meet(join(c,a),a)) != join(a,meet(b,join(c,a))),
    inference(cp,[status(thm)],[eq_8,eq_5]) ).

cnf(eq_10,negated_conjecture,
    join(a,meet(b,join(c,a))) != join(a,meet(b,join(c,a))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_1]),eq_6]),eq_2]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 26 05:01:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.76/0.95  % SZS status Unsatisfiable
% 0.76/0.95  % SZS output start CNFRefutation for /tmp/MaedMax_10938
% See solution above
% 0.76/0.95  
%------------------------------------------------------------------------------