%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LAT044-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n003.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 151.60s 151.81s
% Output   : CNFRefutation 151.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   54 (  54 unt;   0 nHn;  10 RR)
%            Number of literals    :   54 (  53 equ;   7 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   87 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = meet(X,join(X,Y)),
    file('/tmp/MaedMax_15078') ).

cnf(eq_1,axiom,
    X = join(X,meet(X,Y)),
    file('/tmp/MaedMax_15078') ).

cnf(eq_2,axiom,
    meet(X,Y) = meet(Y,X),
    file('/tmp/MaedMax_15078') ).

cnf(eq_3,axiom,
    join(X,Y) = join(Y,X),
    file('/tmp/MaedMax_15078') ).

cnf(eq_4,axiom,
    meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
    file('/tmp/MaedMax_15078') ).

cnf(eq_5,axiom,
    join(X,join(Y,Z)) = join(join(X,Y),Z),
    file('/tmp/MaedMax_15078') ).

cnf(eq_6,axiom,
    meet(complement(X),complement(Y)) = complement(join(X,Y)),
    file('/tmp/MaedMax_15078') ).

cnf(eq_7,axiom,
    join(complement(X),complement(Y)) = complement(meet(X,Y)),
    file('/tmp/MaedMax_15078') ).

cnf(eq_8,axiom,
    join(complement(X),X) = n1,
    file('/tmp/MaedMax_15078') ).

cnf(eq_9,axiom,
    meet(complement(X),X) = n0,
    file('/tmp/MaedMax_15078') ).

cnf(eq_10,axiom,
    X = complement(complement(X)),
    file('/tmp/MaedMax_15078') ).

cnf(eq_11,axiom,
    join(X,Y) = join(X,meet(complement(X),join(X,Y))),
    file('/tmp/MaedMax_15078') ).

cnf(eq_12,negated_conjecture,
    join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
    file('/tmp/MaedMax_15078') ).

cnf(eq_13,plain,
    meet(X,x102) = meet(X,meet(join(X,Y),x102)),
    inference(cp,[status(thm)],[eq_0,eq_4]) ).

cnf(eq_14,plain,
    meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
    inference(cp,[status(thm)],[eq_2,eq_4]) ).

cnf(eq_15,plain,
    meet(X,complement(X)) = n0,
    inference(cp,[status(thm)],[eq_2,eq_9]) ).

cnf(eq_16,plain,
    n0 = complement(join(complement(x101),x101)),
    inference(cp,[status(thm)],[eq_9,eq_6]) ).

cnf(eq_17,plain,
    join(Y,meet(X,Y)) = Y,
    inference(cp,[status(thm)],[eq_2,eq_1]) ).

cnf(eq_18,plain,
    join(X,meet(complement(X),join(Y,X))) = join(X,Y),
    inference(cp,[status(thm)],[eq_3,eq_11]) ).

cnf(eq_19,plain,
    join(join(Y,X),x102) = join(X,join(Y,x102)),
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_20,plain,
    join(X,complement(X)) = n1,
    inference(cp,[status(thm)],[eq_10,eq_8]) ).

cnf(eq_21,plain,
    complement(meet(X,Y)) = join(complement(Y),complement(X)),
    inference(cp,[status(thm)],[eq_2,eq_7]) ).

cnf(eq_22,plain,
    meet(X,Y) = meet(X,meet(join(X,Z),Y)),
    eq_13 ).

cnf(eq_23,plain,
    join(X,join(Y,Z)) = join(Y,join(X,Z)),
    inference(rw,[status(thm)],[eq_19,eq_5]) ).

cnf(eq_24,plain,
    join(complement(X),complement(Y)) = join(complement(Y),complement(X)),
    inference(rw,[status(thm)],[eq_21,eq_7]) ).

cnf(eq_25,plain,
    complement(n1) = n0,
    inference(rw,[status(thm)],[eq_16,eq_8]) ).

cnf(eq_26,plain,
    X = join(X,meet(Y,X)),
    eq_17 ).

cnf(eq_27,plain,
    meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
    inference(rw,[status(thm)],[eq_14,eq_4]) ).

cnf(eq_28,negated_conjecture,
    join(meet(b,a),join(complement(b),meet(join(b,a),complement(a)))) != n1,
    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_12,eq_3]),eq_2]),eq_2]),eq_3]),eq_23]),eq_3]) ).

cnf(eq_29,plain,
    complement(meet(complement(X),complement(Y))) = join(X,Y),
    inference(cp,[status(thm)],[eq_6,eq_10]) ).

cnf(eq_30,plain,
    meet(X,meet(Y,complement(meet(X,Y)))) = n0,
    inference(cp,[status(thm)],[eq_4,eq_15]) ).

cnf(eq_31,negated_conjecture,
    join(X,complement(X)) != join(meet(b,a),join(complement(b),meet(join(b,a),complement(a)))),
    inference(cp,[status(thm)],[eq_20,eq_28]) ).

cnf(eq_32,plain,
    complement(meet(X,Y)) = complement(meet(Y,X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_7]),eq_7]) ).

cnf(eq_33,plain,
    join(meet(Y,X),meet(complement(meet(Y,X)),X)) = join(meet(Y,X),X),
    inference(cp,[status(thm)],[eq_26,eq_18]) ).

cnf(eq_34,plain,
    join(X,complement(x101)) = complement(meet(complement(X),x101)),
    inference(cp,[status(thm)],[eq_10,eq_7]) ).

cnf(eq_35,plain,
    join(complement(x100),X) = complement(meet(x100,complement(X))),
    inference(cp,[status(thm)],[eq_10,eq_7]) ).

cnf(eq_36,plain,
    X = join(meet(Y,X),meet(X,complement(meet(Y,X)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_2]),eq_3]),eq_26]) ).

cnf(eq_37,plain,
    join(complement(X),Y) = complement(meet(X,complement(Y))),
    eq_35 ).

cnf(eq_38,plain,
    join(X,Y) = complement(meet(complement(X),complement(Y))),
    eq_29 ).

cnf(eq_39,plain,
    join(X,complement(Y)) = complement(meet(complement(X),Y)),
    eq_34 ).

cnf(eq_40,negated_conjecture,
    join(meet(b,a),complement(meet(b,complement(meet(complement(a),join(b,a)))))) != n1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_20]),eq_2]),eq_37]) ).

cnf(eq_41,plain,
    meet(X,meet(complement(meet(complement(X),Y)),x102)) = meet(X,x102),
    inference(cp,[status(thm)],[eq_39,eq_22]) ).

cnf(eq_42,plain,
    join(X,Y) = complement(meet(complement(Y),complement(X))),
    inference(cp,[status(thm)],[eq_29,eq_32]) ).

cnf(eq_43,plain,
    meet(X,Y) = meet(X,meet(complement(meet(complement(X),Z)),Y)),
    eq_41 ).

cnf(eq_44,negated_conjecture,
    join(meet(b,a),complement(meet(b,join(a,complement(join(b,a)))))) != n1,
    inference(cp,[status(thm)],[eq_39,eq_40]) ).

cnf(eq_45,negated_conjecture,
    join(meet(b,a),complement(meet(b,join(a,meet(complement(b),complement(a)))))) != n1,
    inference(rw,[status(thm)],[eq_44,eq_6]) ).

cnf(eq_46,plain,
    meet(X,meet(Y,complement(meet(X,Y)))) = complement(n1),
    inference(rw,[status(thm)],[eq_30,eq_25]) ).

cnf(eq_47,plain,
    X = complement(meet(complement(meet(Y,X)),complement(meet(X,complement(meet(Y,X)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_42]),eq_2]) ).

cnf(eq_48,plain,
    complement(X) = meet(complement(meet(Y,X)),complement(meet(X,complement(meet(Y,X))))),
    inference(cp,[status(thm)],[eq_47,eq_10]) ).

cnf(eq_49,plain,
    meet(complement(meet(X,Y)),complement(meet(Y,complement(meet(X,Y))))) = complement(Y),
    eq_48 ).

cnf(eq_50,plain,
    meet(x100,complement(Y)) = meet(x100,complement(meet(Y,complement(meet(complement(x100),Y))))),
    inference(cp,[status(thm)],[eq_49,eq_43]) ).

cnf(eq_51,plain,
    meet(X,complement(Y)) = meet(X,complement(meet(Y,complement(meet(complement(X),Y))))),
    eq_50 ).

cnf(eq_52,negated_conjecture,
    n1 != n1,
    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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_38]),eq_51]),eq_10]),eq_38]),eq_10]),eq_27]),eq_2]),eq_46]),eq_10]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT044-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n003.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
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 26 05:09:10 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 151.60/151.81  % SZS status Unsatisfiable
% 151.60/151.81  % SZS output start CNFRefutation for /tmp/MaedMax_15078
% See solution above
% 151.60/151.81  
%------------------------------------------------------------------------------