%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 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 07:05:26 EDT 2022

% Result   : Unsatisfiable 0.90s 1.14s
% Output   : CNFRefutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  17 unt;   0 nHn;   5 RR)
%            Number of literals    :   17 (  16 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   :   30 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = meet(X,join(X,Y)),
    file('/tmp/MaedMax_2769') ).

cnf(eq_1,axiom,
    X = join(X,meet(X,Y)),
    file('/tmp/MaedMax_2769') ).

cnf(eq_2,axiom,
    join(X,Y) = join(Y,X),
    file('/tmp/MaedMax_2769') ).

cnf(eq_3,axiom,
    meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
    file('/tmp/MaedMax_2769') ).

cnf(eq_4,axiom,
    meet(join(X,Y),join(X,Z)) = join(X,meet(Y,Z)),
    file('/tmp/MaedMax_2769') ).

cnf(eq_5,negated_conjecture,
    meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
    file('/tmp/MaedMax_2769') ).

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

cnf(eq_7,plain,
    meet(join(Y,X),join(X,x102)) = join(X,meet(Y,x102)),
    inference(cp,[status(thm)],[eq_2,eq_4]) ).

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

cnf(eq_9,plain,
    meet(X,x102) = meet(X,meet(join(Y,X),x102)),
    inference(cp,[status(thm)],[eq_6,eq_3]) ).

cnf(eq_10,plain,
    meet(X,Y) = meet(X,meet(join(Z,X),Y)),
    eq_9 ).

cnf(eq_11,plain,
    meet(Y,join(X,meet(Y,Z))) = meet(Y,join(X,Z)),
    inference(cp,[status(thm)],[eq_4,eq_10]) ).

cnf(eq_12,plain,
    meet(X,join(Y,Z)) = meet(X,join(Y,meet(X,Z))),
    eq_11 ).

cnf(eq_13,negated_conjecture,
    meet(join(xx,meet(xx,yy)),join(meet(xx,yy),zz)) != meet(xx,join(yy,zz)),
    inference(cp,[status(thm)],[eq_8,eq_5]) ).

cnf(eq_14,negated_conjecture,
    meet(xx,join(zz,meet(xx,yy))) != meet(xx,join(zz,yy)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_1]),eq_2]),eq_2]) ).

cnf(eq_15,negated_conjecture,
    meet(xx,join(zz,meet(xx,yy))) != meet(xx,join(zz,meet(xx,yy))),
    inference(cp,[status(thm)],[eq_12,eq_14]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 05:23:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.90/1.14  % SZS status Unsatisfiable
% 0.90/1.14  % SZS output start CNFRefutation for /tmp/MaedMax_2769
% See solution above
% 0.90/1.14  
%------------------------------------------------------------------------------