%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n026.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 07:05:23 EDT 2022

% Result   : Unsatisfiable 2.20s 2.47s
% Output   : CNFRefutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   4 RR)
%            Number of literals    :   22 (  21 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   38 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = join(X,meet(Y,meet(X,Z))),
    file('/tmp/MaedMax_27139') ).

cnf(eq_1,axiom,
    X = meet(X,join(Y,join(X,Z))),
    file('/tmp/MaedMax_27139') ).

cnf(eq_2,axiom,
    X = join(join(meet(Y,X),meet(X,Z)),X),
    file('/tmp/MaedMax_27139') ).

cnf(eq_3,axiom,
    X = meet(meet(join(Y,X),join(X,Z)),X),
    file('/tmp/MaedMax_27139') ).

cnf(eq_4,negated_conjecture,
    meet(b,a) != meet(a,b),
    file('/tmp/MaedMax_27139') ).

cnf(eq_5,plain,
    meet(X,join(x101,X)) = X,
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_6,plain,
    join(x100,meet(x100,x102)) = x100,
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_7,plain,
    join(X,meet(x101,X)) = X,
    inference(cp,[status(thm)],[eq_1,eq_0]) ).

cnf(eq_8,plain,
    join(meet(x100,Y),Y) = Y,
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_9,plain,
    X = meet(X,join(Y,X)),
    eq_5 ).

cnf(eq_10,plain,
    X = join(X,meet(X,Y)),
    eq_6 ).

cnf(eq_11,plain,
    X = join(X,meet(Y,X)),
    eq_7 ).

cnf(eq_12,plain,
    X = join(meet(Y,X),X),
    eq_8 ).

cnf(eq_13,plain,
    meet(meet(X,join(meet(Y,X),x102)),meet(Y,X)) = meet(Y,X),
    inference(cp,[status(thm)],[eq_11,eq_3]) ).

cnf(eq_14,plain,
    meet(meet(X,Y),X) = meet(X,Y),
    inference(cp,[status(thm)],[eq_10,eq_9]) ).

cnf(eq_15,plain,
    meet(X,Y) = meet(meet(Y,join(meet(X,Y),Z)),meet(X,Y)),
    eq_13 ).

cnf(eq_16,plain,
    join(meet(X,Y),X) = X,
    inference(cp,[status(thm)],[eq_14,eq_12]) ).

cnf(eq_17,plain,
    meet(meet(Y,X),meet(X,Y)) = meet(X,Y),
    inference(cp,[status(thm)],[eq_16,eq_15]) ).

cnf(eq_18,plain,
    meet(meet(X,Y),meet(Y,X)) = meet(meet(Y,X),meet(X,Y)),
    inference(cp,[status(thm)],[eq_17,eq_14]) ).

cnf(eq_19,plain,
    meet(X,Y) = meet(Y,X),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_17]),eq_17]) ).

cnf(eq_20,negated_conjecture,
    meet(b,a) != meet(b,a),
    inference(cp,[status(thm)],[eq_19,eq_4]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n026.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 05:17:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.20/2.47  % SZS status Unsatisfiable
% 2.20/2.47  % SZS output start CNFRefutation for /tmp/MaedMax_27139
% See solution above
% 2.20/2.47  
%------------------------------------------------------------------------------