%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n009.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 07:05:25 EDT 2022

% Result   : Unsatisfiable 1.30s 1.53s
% Output   : CNFRefutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   31 (  31 unt;   0 nHn;   7 RR)
%            Number of literals    :   31 (  30 equ;   6 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   60 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = meet(X,join(X,Y)),
    file('/tmp/MaedMax_4379') ).

cnf(eq_1,axiom,
    X = join(X,meet(X,Y)),
    file('/tmp/MaedMax_4379') ).

cnf(eq_2,axiom,
    meet(X,Y) = meet(Y,X),
    file('/tmp/MaedMax_4379') ).

cnf(eq_3,axiom,
    join(X,Y) = join(Y,X),
    file('/tmp/MaedMax_4379') ).

cnf(eq_4,axiom,
    join(X,join(Y,Z)) = join(join(X,Y),Z),
    file('/tmp/MaedMax_4379') ).

cnf(eq_5,axiom,
    meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
    file('/tmp/MaedMax_4379') ).

cnf(eq_6,negated_conjecture,
    meet(join(xx,yy),join(xx,zz)) != join(xx,meet(yy,zz)),
    file('/tmp/MaedMax_4379') ).

cnf(eq_7,plain,
    join(Y,meet(X,Y)) = Y,
    inference(cp,[status(thm)],[eq_2,eq_1]) ).

cnf(eq_8,plain,
    join(meet(X,Y),meet(Y,x102)) = meet(Y,join(X,x102)),
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_9,plain,
    join(join(Y,X),x102) = join(X,join(Y,x102)),
    inference(cp,[status(thm)],[eq_3,eq_4]) ).

cnf(eq_10,plain,
    join(x100,X) = join(X,join(x100,meet(X,Y))),
    inference(cp,[status(thm)],[eq_1,eq_12]) ).

cnf(eq_11,plain,
    meet(X,join(Y,Z)) = join(meet(Y,X),meet(X,Z)),
    eq_8 ).

cnf(eq_12,plain,
    join(X,join(Y,Z)) = join(Y,join(X,Z)),
    inference(rw,[status(thm)],[eq_9,eq_4]) ).

cnf(eq_13,plain,
    join(X,Y) = join(Y,join(X,meet(Y,Z))),
    eq_10 ).

cnf(eq_14,plain,
    X = join(X,meet(Y,X)),
    eq_7 ).

cnf(eq_15,negated_conjecture,
    meet(join(yy,xx),join(xx,zz)) != join(xx,meet(yy,zz)),
    inference(cp,[status(thm)],[eq_3,eq_6]) ).

cnf(eq_16,plain,
    join(X,join(Y,meet(x101,join(X,Y)))) = join(X,Y),
    inference(cp,[status(thm)],[eq_4,eq_14]) ).

cnf(eq_17,plain,
    join(X,x102) = join(X,join(meet(Y,X),x102)),
    inference(cp,[status(thm)],[eq_14,eq_4]) ).

cnf(eq_18,plain,
    join(X,Y) = join(X,join(meet(Z,X),Y)),
    eq_17 ).

cnf(eq_19,plain,
    join(X,Y) = join(X,join(Y,meet(Z,join(X,Y)))),
    eq_16 ).

cnf(eq_20,plain,
    join(X,Y) = join(join(meet(Z,X),Y),X),
    inference(cp,[status(thm)],[eq_18,eq_3]) ).

cnf(eq_21,plain,
    join(X,Y) = join(meet(Z,X),join(Y,X)),
    inference(rw,[status(thm)],[eq_20,eq_4]) ).

cnf(eq_22,plain,
    join(meet(x100,Y),join(Y,join(X,meet(Y,Z)))) = join(Y,X),
    inference(cp,[status(thm)],[eq_13,eq_21]) ).

cnf(eq_23,plain,
    join(X,Y) = join(X,join(Y,meet(X,Z))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_12]),eq_18]) ).

cnf(eq_24,plain,
    join(x100,meet(X,join(Y,join(x100,meet(Y,X))))) = join(x100,meet(Y,X)),
    inference(cp,[status(thm)],[eq_11,eq_19]) ).

cnf(eq_25,plain,
    join(X,meet(Y,Z)) = join(X,meet(Z,join(Y,X))),
    inference(rw,[status(thm)],[eq_24,eq_23]) ).

cnf(eq_26,negated_conjecture,
    join(meet(xx,join(yy,xx)),meet(join(yy,xx),zz)) != join(xx,meet(yy,zz)),
    inference(cp,[status(thm)],[eq_11,eq_15]) ).

cnf(eq_27,negated_conjecture,
    join(xx,meet(yy,zz)) != join(xx,meet(zz,join(xx,yy))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_3]),eq_3]),eq_0]),eq_2]) ).

cnf(eq_28,negated_conjecture,
    join(xx,meet(zz,join(yy,xx))) != join(xx,meet(zz,join(xx,yy))),
    inference(cp,[status(thm)],[eq_25,eq_27]) ).

cnf(eq_29,negated_conjecture,
    join(xx,meet(zz,join(xx,yy))) != join(xx,meet(zz,join(xx,yy))),
    inference(rw,[status(thm)],[eq_28,eq_3]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n009.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 04:58:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.30/1.53  % SZS status Unsatisfiable
% 1.30/1.53  % SZS output start CNFRefutation for /tmp/MaedMax_4379
% See solution above
% 1.30/1.53  
%------------------------------------------------------------------------------