%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LAT170-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n025.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 07:05:40 EDT 2022

% Result   : Unsatisfiable 110.76s 110.99s
% Output   : CNFRefutation 110.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   59 (  59 unt;   0 nHn;  11 RR)
%            Number of literals    :   59 (  58 equ;  10 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  119 (  30 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = join(X,X),
    file('/tmp/MaedMax_11005') ).

cnf(eq_1,axiom,
    X = meet(X,join(X,Y)),
    file('/tmp/MaedMax_11005') ).

cnf(eq_2,axiom,
    X = join(X,meet(X,Y)),
    file('/tmp/MaedMax_11005') ).

cnf(eq_3,axiom,
    meet(X,Y) = meet(Y,X),
    file('/tmp/MaedMax_11005') ).

cnf(eq_4,axiom,
    join(X,Y) = join(Y,X),
    file('/tmp/MaedMax_11005') ).

cnf(eq_5,axiom,
    meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
    file('/tmp/MaedMax_11005') ).

cnf(eq_6,axiom,
    join(X,join(Y,Z)) = join(join(X,Y),Z),
    file('/tmp/MaedMax_11005') ).

cnf(eq_7,axiom,
    join(X,meet(Y,meet(join(X,Z),join(Z,meet(Y,U))))) = join(X,meet(Y,join(Z,meet(X,U)))),
    file('/tmp/MaedMax_11005') ).

cnf(eq_8,negated_conjecture,
    meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) != meet(a,join(b,c)),
    file('/tmp/MaedMax_11005') ).

cnf(eq_9,negated_conjecture,
    meet(join(c,b),a) != meet(a,join(b,meet(join(b,a),join(c,meet(b,a))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_4]),eq_3]),eq_4]),eq_3]) ).

cnf(eq_10,plain,
    meet(X,join(Y,join(X,Z))) = X,
    inference(cp,[status(thm)],[eq_24,eq_1]) ).

cnf(eq_11,plain,
    meet(X,join(Y,X)) = X,
    inference(cp,[status(thm)],[eq_4,eq_1]) ).

cnf(eq_12,plain,
    meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_13,plain,
    join(Y,meet(X,Y)) = Y,
    inference(cp,[status(thm)],[eq_3,eq_2]) ).

cnf(eq_14,plain,
    join(x100,meet(meet(join(x100,x102),join(x102,meet(Y,x103))),Y)) = join(x100,meet(Y,join(x102,meet(x100,x103)))),
    inference(cp,[status(thm)],[eq_3,eq_7]) ).

cnf(eq_15,plain,
    join(join(Y,X),x102) = join(X,join(Y,x102)),
    inference(cp,[status(thm)],[eq_4,eq_6]) ).

cnf(eq_16,plain,
    join(X,x102) = join(X,join(X,x102)),
    inference(cp,[status(thm)],[eq_0,eq_6]) ).

cnf(eq_17,plain,
    join(X,x102) = join(X,join(meet(X,Y),x102)),
    inference(cp,[status(thm)],[eq_2,eq_6]) ).

cnf(eq_18,plain,
    meet(x100,X) = meet(X,meet(x100,join(X,Y))),
    inference(cp,[status(thm)],[eq_1,eq_27]) ).

cnf(eq_19,plain,
    join(x100,X) = join(X,join(x100,meet(X,Y))),
    inference(cp,[status(thm)],[eq_2,eq_24]) ).

cnf(eq_20,plain,
    join(X,meet(Y,join(Z,meet(X,U)))) = join(X,meet(join(X,Z),meet(Y,join(Z,meet(Y,U))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_5]),eq_3]) ).

cnf(eq_21,plain,
    meet(X,Y) = meet(Y,meet(X,join(Y,Z))),
    eq_18 ).

cnf(eq_22,plain,
    join(X,Y) = join(X,join(meet(X,Z),Y)),
    eq_17 ).

cnf(eq_23,plain,
    join(X,Y) = join(X,join(X,Y)),
    eq_16 ).

cnf(eq_24,plain,
    join(X,join(Y,Z)) = join(Y,join(X,Z)),
    inference(rw,[status(thm)],[eq_15,eq_6]) ).

cnf(eq_25,plain,
    join(X,Y) = join(Y,join(X,meet(Y,Z))),
    eq_19 ).

cnf(eq_26,plain,
    X = join(X,meet(Y,X)),
    eq_13 ).

cnf(eq_27,plain,
    meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
    inference(rw,[status(thm)],[eq_12,eq_5]) ).

cnf(eq_28,plain,
    meet(X,x102) = meet(X,meet(join(Y,X),x102)),
    inference(cp,[status(thm)],[eq_11,eq_5]) ).

cnf(eq_29,plain,
    meet(X,meet(Y,join(x101,join(meet(X,Y),x102)))) = meet(X,Y),
    inference(cp,[status(thm)],[eq_5,eq_10]) ).

cnf(eq_30,plain,
    meet(meet(X,Z),join(X,Y)) = meet(X,Z),
    inference(cp,[status(thm)],[eq_22,eq_10]) ).

cnf(eq_31,plain,
    join(Z,meet(X,meet(Y,Z))) = Z,
    inference(cp,[status(thm)],[eq_5,eq_26]) ).

cnf(eq_32,plain,
    join(X,join(Y,X)) = join(X,Y),
    inference(cp,[status(thm)],[eq_4,eq_23]) ).

cnf(eq_33,plain,
    join(Y,join(x101,meet(X,Y))) = join(x101,Y),
    inference(cp,[status(thm)],[eq_3,eq_25]) ).

cnf(eq_34,plain,
    X = join(X,meet(Y,meet(Z,X))),
    eq_31 ).

cnf(eq_35,plain,
    meet(X,Y) = meet(X,meet(Y,join(Z,join(meet(X,Y),U)))),
    eq_29 ).

cnf(eq_36,plain,
    meet(X,Y) = meet(X,meet(join(Z,X),Y)),
    eq_28 ).

cnf(eq_37,plain,
    meet(X,Y) = meet(X,meet(Y,join(X,Z))),
    inference(rw,[status(thm)],[eq_30,eq_5]) ).

cnf(eq_38,plain,
    join(X,Y) = join(Y,join(X,meet(Z,Y))),
    eq_33 ).

cnf(eq_39,plain,
    meet(join(Y,X),join(X,Y)) = join(Y,X),
    inference(cp,[status(thm)],[eq_32,eq_11]) ).

cnf(eq_40,plain,
    join(join(Y,Z),meet(X,Y)) = join(Y,Z),
    inference(cp,[status(thm)],[eq_21,eq_34]) ).

cnf(eq_41,plain,
    join(X,Y) = join(X,join(Y,meet(Z,X))),
    inference(rw,[status(thm)],[eq_40,eq_6]) ).

cnf(eq_42,plain,
    meet(join(X,Y),join(Y,X)) = join(X,Y),
    eq_39 ).

cnf(eq_43,plain,
    meet(meet(join(x101,Y),x102),Y) = meet(Y,x102),
    inference(cp,[status(thm)],[eq_3,eq_36]) ).

cnf(eq_44,plain,
    join(meet(join(Z,X),Y),join(x101,meet(X,Y))) = join(x101,meet(join(Z,X),Y)),
    inference(cp,[status(thm)],[eq_36,eq_38]) ).

cnf(eq_45,plain,
    meet(X,Y) = meet(join(Z,X),meet(Y,X)),
    inference(rw,[status(thm)],[eq_43,eq_5]) ).

cnf(eq_46,plain,
    join(X,meet(join(Y,Z),U)) = join(meet(join(Y,Z),U),join(X,meet(Z,U))),
    eq_44 ).

cnf(eq_47,plain,
    meet(join(Z,join(x100,x101)),meet(join(x101,x100),join(x100,x101))) = join(x100,x101),
    inference(cp,[status(thm)],[eq_45,eq_42]) ).

cnf(eq_48,plain,
    meet(join(X,join(Y,Z)),join(Z,Y)) = join(Y,Z),
    inference(rw,[status(thm)],[eq_47,eq_42]) ).

cnf(eq_49,plain,
    meet(join(X,Y),join(meet(Z,Y),X)) = join(X,meet(Z,Y)),
    inference(cp,[status(thm)],[eq_38,eq_48]) ).

cnf(eq_50,negated_conjecture,
    meet(a,meet(join(b,join(c,meet(b,a))),join(meet(join(b,a),join(c,meet(b,a))),b))) != meet(join(c,b),a),
    inference(cp,[status(thm)],[eq_49,eq_9]) ).

cnf(eq_51,negated_conjecture,
    meet(a,meet(join(c,b),join(b,meet(join(a,b),join(c,meet(a,b)))))) != meet(a,join(c,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_3]),eq_4]),eq_3]),eq_41]),eq_4]),eq_4]),eq_3]) ).

cnf(eq_52,negated_conjecture,
    meet(join(c,b),meet(a,join(b,meet(join(b,a),join(c,meet(b,a)))))) != meet(join(c,b),a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_4]),eq_3]),eq_27]),eq_3]) ).

cnf(eq_53,negated_conjecture,
    meet(join(c,b),meet(a,join(b,meet(join(b,c),meet(join(b,a),join(c,meet(join(b,a),a))))))) != meet(join(c,b),a),
    inference(cp,[status(thm)],[eq_20,eq_52]) ).

cnf(eq_54,negated_conjecture,
    meet(join(c,b),meet(a,join(b,meet(join(c,b),meet(join(c,a),join(b,a)))))) != meet(join(c,b),a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_4]),eq_3]),eq_11]),eq_3]) ).

cnf(eq_55,negated_conjecture,
    meet(a,meet(join(c,b),join(b,meet(join(c,a),meet(join(c,b),join(a,b)))))) != meet(a,join(c,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_4]),eq_27]),eq_27]),eq_3]) ).

cnf(eq_56,negated_conjecture,
    meet(a,meet(join(c,b),join(meet(join(c,a),meet(join(c,b),join(a,b))),join(b,meet(a,meet(join(c,b),join(a,b))))))) != meet(a,join(c,b)),
    inference(cp,[status(thm)],[eq_46,eq_55]) ).

cnf(eq_57,negated_conjecture,
    meet(a,join(c,b)) != meet(a,join(c,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_37]),eq_24]),eq_4]),eq_35]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT170-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 05:15:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 110.76/110.99  % SZS status Unsatisfiable
% 110.76/110.99  % SZS output start CNFRefutation for /tmp/MaedMax_11005
% See solution above
% 110.76/110.99  
%------------------------------------------------------------------------------