%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LAT010-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n018.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 46.51s 46.72s
% Output   : CNFRefutation 46.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   91 (  91 unt;   0 nHn;   3 RR)
%            Number of literals    :   91 (  90 equ;   2 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;   8 con; 0-2 aty)
%            Number of variables   :  231 (  59 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = meet(X,X),
    file('/tmp/MaedMax_27359') ).

cnf(eq_1,axiom,
    X = join(X,X),
    file('/tmp/MaedMax_27359') ).

cnf(eq_2,axiom,
    X = meet(X,join(X,Y)),
    file('/tmp/MaedMax_27359') ).

cnf(eq_3,axiom,
    X = join(X,meet(X,Y)),
    file('/tmp/MaedMax_27359') ).

cnf(eq_4,axiom,
    meet(X,Y) = meet(Y,X),
    file('/tmp/MaedMax_27359') ).

cnf(eq_5,axiom,
    join(X,Y) = join(Y,X),
    file('/tmp/MaedMax_27359') ).

cnf(eq_6,axiom,
    meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
    file('/tmp/MaedMax_27359') ).

cnf(eq_7,axiom,
    join(X,join(Y,Z)) = join(join(X,Y),Z),
    file('/tmp/MaedMax_27359') ).

cnf(eq_8,axiom,
    meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) = join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z))),
    file('/tmp/MaedMax_27359') ).

cnf(eq_9,negated_conjecture,
    meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(a,meet(join(b,c),join(b,d))),
    file('/tmp/MaedMax_27359') ).

cnf(eq_10,plain,
    meet(X,join(Y,X)) = X,
    inference(cp,[status(thm)],[eq_5,eq_2]) ).

cnf(eq_11,plain,
    meet(X,x102) = meet(X,meet(join(X,Y),x102)),
    inference(cp,[status(thm)],[eq_2,eq_6]) ).

cnf(eq_12,plain,
    meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
    inference(cp,[status(thm)],[eq_4,eq_6]) ).

cnf(eq_13,plain,
    meet(X,x102) = meet(X,meet(X,x102)),
    inference(cp,[status(thm)],[eq_0,eq_6]) ).

cnf(eq_14,plain,
    join(Y,meet(X,Y)) = Y,
    inference(cp,[status(thm)],[eq_4,eq_3]) ).

cnf(eq_15,plain,
    join(X,meet(Y,meet(X,Z))) = X,
    inference(cp,[status(thm)],[eq_24,eq_3]) ).

cnf(eq_16,plain,
    join(join(Y,X),x102) = join(X,join(Y,x102)),
    inference(cp,[status(thm)],[eq_5,eq_7]) ).

cnf(eq_17,plain,
    join(X,x102) = join(X,join(X,x102)),
    inference(cp,[status(thm)],[eq_1,eq_7]) ).

cnf(eq_18,plain,
    join(X,x102) = join(X,join(meet(X,Y),x102)),
    inference(cp,[status(thm)],[eq_3,eq_7]) ).

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

cnf(eq_20,plain,
    join(x100,X) = join(X,join(x100,meet(X,Y))),
    inference(cp,[status(thm)],[eq_3,eq_26]) ).

cnf(eq_21,plain,
    meet(X,Y) = meet(X,meet(join(X,Z),Y)),
    eq_11 ).

cnf(eq_22,plain,
    join(X,Y) = join(X,join(meet(X,Z),Y)),
    eq_18 ).

cnf(eq_23,plain,
    join(X,Y) = join(X,join(X,Y)),
    eq_17 ).

cnf(eq_24,plain,
    meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
    inference(rw,[status(thm)],[eq_12,eq_6]) ).

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

cnf(eq_26,plain,
    join(X,join(Y,Z)) = join(Y,join(X,Z)),
    inference(rw,[status(thm)],[eq_16,eq_7]) ).

cnf(eq_27,plain,
    meet(X,Y) = meet(X,meet(X,Y)),
    eq_13 ).

cnf(eq_28,plain,
    join(X,Y) = join(Y,join(X,meet(Y,Z))),
    eq_20 ).

cnf(eq_29,plain,
    X = join(X,meet(Y,X)),
    eq_14 ).

cnf(eq_30,plain,
    meet(join(meet(x101,x102),X),join(x102,meet(X,x101))) = join(meet(x102,join(X,meet(x101,x102))),meet(X,join(x101,x102))),
    inference(cp,[status(thm)],[eq_5,eq_8]) ).

cnf(eq_31,plain,
    meet(Y,meet(X,Y)) = meet(Y,X),
    inference(cp,[status(thm)],[eq_4,eq_27]) ).

cnf(eq_32,plain,
    meet(X,meet(Y,meet(X,Z))) = meet(X,meet(Y,Z)),
    inference(cp,[status(thm)],[eq_24,eq_27]) ).

cnf(eq_33,plain,
    meet(x100,X) = meet(X,meet(x100,join(Y,X))),
    inference(cp,[status(thm)],[eq_10,eq_24]) ).

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

cnf(eq_35,plain,
    join(X,Y) = join(join(meet(X,Z),Y),X),
    inference(cp,[status(thm)],[eq_22,eq_5]) ).

cnf(eq_36,plain,
    join(meet(Y,Z),meet(Y,meet(X,Z))) = meet(Y,Z),
    inference(cp,[status(thm)],[eq_24,eq_29]) ).

cnf(eq_37,plain,
    join(Y,meet(x101,meet(X,Y))) = Y,
    inference(cp,[status(thm)],[eq_4,eq_15]) ).

cnf(eq_38,plain,
    join(X,join(Y,X)) = join(X,Y),
    inference(cp,[status(thm)],[eq_5,eq_23]) ).

cnf(eq_39,plain,
    join(x100,join(Y,join(meet(x100,x101),Z))) = join(x100,join(Y,Z)),
    inference(cp,[status(thm)],[eq_26,eq_22]) ).

cnf(eq_40,plain,
    join(Y,join(x101,meet(X,Y))) = join(x101,Y),
    inference(cp,[status(thm)],[eq_4,eq_28]) ).

cnf(eq_41,plain,
    X = meet(X,join(Y,join(Z,X))),
    eq_34 ).

cnf(eq_42,plain,
    meet(X,Y) = meet(X,meet(Y,X)),
    eq_31 ).

cnf(eq_43,plain,
    meet(X,Y) = join(meet(X,Y),meet(X,meet(Z,Y))),
    eq_36 ).

cnf(eq_44,plain,
    join(X,Y) = join(meet(X,Z),join(Y,X)),
    inference(rw,[status(thm)],[eq_35,eq_7]) ).

cnf(eq_45,plain,
    X = join(X,meet(Y,meet(Z,X))),
    eq_37 ).

cnf(eq_46,plain,
    meet(X,Y) = meet(Y,meet(X,join(Z,Y))),
    eq_33 ).

cnf(eq_47,plain,
    join(X,Y) = join(Y,join(X,meet(Z,Y))),
    eq_40 ).

cnf(eq_48,plain,
    meet(join(meet(X,Y),Z),join(Y,meet(Z,X))) = join(meet(Y,join(Z,meet(X,Y))),meet(Z,join(X,Y))),
    eq_30 ).

cnf(eq_49,plain,
    join(X,join(Y,Z)) = join(X,join(Y,join(meet(X,U),Z))),
    eq_39 ).

cnf(eq_50,plain,
    meet(Z,meet(X,meet(Y,Z))) = meet(Z,meet(X,Y)),
    inference(cp,[status(thm)],[eq_6,eq_42]) ).

cnf(eq_51,plain,
    meet(meet(join(Y,x101),x102),Y) = meet(Y,x102),
    inference(cp,[status(thm)],[eq_4,eq_21]) ).

cnf(eq_52,plain,
    meet(join(Y,X),join(X,Y)) = join(Y,X),
    inference(cp,[status(thm)],[eq_38,eq_10]) ).

cnf(eq_53,plain,
    meet(join(Y,X),join(x101,join(X,Y))) = join(Y,X),
    inference(cp,[status(thm)],[eq_38,eq_41]) ).

cnf(eq_54,plain,
    join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)),
    inference(cp,[status(thm)],[eq_25,eq_29]) ).

cnf(eq_55,plain,
    join(join(Y,Z),meet(X,Y)) = join(Y,Z),
    inference(cp,[status(thm)],[eq_25,eq_45]) ).

cnf(eq_56,plain,
    join(x100,meet(X,meet(Y,meet(x102,x100)))) = x100,
    inference(cp,[status(thm)],[eq_6,eq_45]) ).

cnf(eq_57,plain,
    join(x100,X) = join(X,join(x100,meet(Y,meet(Z,X)))),
    inference(cp,[status(thm)],[eq_45,eq_26]) ).

cnf(eq_58,plain,
    meet(X,meet(Y,Z)) = meet(X,meet(Y,meet(Z,X))),
    eq_50 ).

cnf(eq_59,plain,
    X = join(X,meet(Y,meet(Z,meet(U,X)))),
    eq_56 ).

cnf(eq_60,plain,
    join(X,Y) = join(X,join(Y,meet(Z,X))),
    inference(rw,[status(thm)],[eq_55,eq_7]) ).

cnf(eq_61,plain,
    meet(join(X,Y),join(Z,join(Y,X))) = join(X,Y),
    eq_53 ).

cnf(eq_62,plain,
    meet(join(X,Y),join(Y,X)) = join(X,Y),
    eq_52 ).

cnf(eq_63,plain,
    meet(X,Y) = meet(join(X,Z),meet(Y,X)),
    inference(rw,[status(thm)],[eq_51,eq_6]) ).

cnf(eq_64,plain,
    join(X,Y) = join(Y,join(X,meet(Z,meet(U,Y)))),
    eq_57 ).

cnf(eq_65,plain,
    meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,join(Y,Z))),
    inference(rw,[status(thm)],[eq_54,eq_5]) ).

cnf(eq_66,plain,
    join(meet(X,join(Z,Y)),meet(X,Y)) = meet(X,join(Z,Y)),
    inference(cp,[status(thm)],[eq_46,eq_29]) ).

cnf(eq_67,plain,
    join(meet(X,Y),join(x102,Y)) = join(Y,x102),
    inference(cp,[status(thm)],[eq_4,eq_44]) ).

cnf(eq_68,plain,
    join(X,Y) = join(meet(Z,X),join(Y,X)),
    eq_67 ).

cnf(eq_69,plain,
    meet(X,join(Y,Z)) = join(meet(X,Z),meet(X,join(Y,Z))),
    inference(rw,[status(thm)],[eq_66,eq_5]) ).

cnf(eq_70,plain,
    meet(join(join(Y,X),x101),join(X,Y)) = meet(join(Y,X),join(X,Y)),
    inference(cp,[status(thm)],[eq_62,eq_63]) ).

cnf(eq_71,plain,
    join(x100,X) = join(X,join(x100,meet(Y,meet(Z,meet(U,X))))),
    inference(cp,[status(thm)],[eq_59,eq_26]) ).

cnf(eq_72,plain,
    meet(join(X,join(Y,Z)),join(Y,X)) = join(X,Y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_70,eq_7]),eq_62]) ).

cnf(eq_73,plain,
    join(X,Y) = join(Y,join(X,meet(Z,meet(U,meet(x4,Y))))),
    eq_71 ).

cnf(eq_74,plain,
    join(join(X,Y),x102) = join(meet(Z,X),join(join(Y,X),x102)),
    inference(cp,[status(thm)],[eq_68,eq_7]) ).

cnf(eq_75,plain,
    join(X,join(Y,Z)) = join(meet(U,X),join(Y,join(X,Z))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_7]),eq_7]) ).

cnf(eq_76,plain,
    join(meet(X,Z),meet(x101,meet(X,meet(Y,Z)))) = meet(X,Z),
    inference(cp,[status(thm)],[eq_32,eq_59]) ).

cnf(eq_77,plain,
    meet(X,Y) = join(meet(X,Y),meet(Z,meet(X,meet(U,Y)))),
    eq_76 ).

cnf(eq_78,plain,
    meet(join(meet(Z,Y),X),join(X,Y)) = join(meet(Z,Y),X),
    inference(cp,[status(thm)],[eq_47,eq_61]) ).

cnf(eq_79,plain,
    meet(join(meet(X,Y),Z),join(Z,Y)) = join(meet(X,Y),Z),
    eq_78 ).

cnf(eq_80,plain,
    meet(join(X,Y),join(Y,meet(Z,X))) = join(meet(Z,X),Y),
    inference(cp,[status(thm)],[eq_68,eq_72]) ).

cnf(eq_81,plain,
    meet(meet(X,join(Y,Z)),join(meet(X,join(Y,Z)),Z)) = join(meet(X,Z),meet(X,join(Y,Z))),
    inference(cp,[status(thm)],[eq_69,eq_79]) ).

cnf(eq_82,plain,
    join(join(Y,meet(Z,X)),join(meet(Y,join(Z,meet(X,Y))),meet(Z,join(X,Y)))) = join(Y,meet(Z,X)),
    inference(cp,[status(thm)],[eq_48,eq_29]) ).

cnf(eq_83,plain,
    join(X,meet(Y,Z)) = join(X,meet(Y,join(Z,X))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_82,eq_7]),eq_49]),eq_65]) ).

cnf(eq_84,plain,
    meet(X,join(Y,Z)) = meet(X,join(meet(X,Y),Z)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_81,eq_5]),eq_83]),eq_6]),eq_80]),eq_69]) ).

cnf(eq_85,plain,
    meet(x100,join(X,meet(x100,x101))) = meet(x100,join(x101,join(X,meet(Z,meet(U,meet(x100,x101)))))),
    inference(cp,[status(thm)],[eq_64,eq_84]) ).

cnf(eq_86,plain,
    meet(X,join(Y,Z)) = meet(X,join(Y,meet(X,Z))),
    inference(rw,[status(thm)],[eq_85,eq_73]) ).

cnf(eq_87,plain,
    join(meet(X,Z),meet(X,join(Y,Z))) = join(meet(X,Z),meet(X,Y)),
    inference(cp,[status(thm)],[eq_86,eq_83]) ).

cnf(eq_88,plain,
    meet(X,join(Y,Z)) = join(meet(X,Z),meet(X,Y)),
    inference(rw,[status(thm)],[eq_87,eq_69]) ).

cnf(eq_89,negated_conjecture,
    join(meet(d,meet(a,c)),meet(a,b)) != join(meet(d,meet(a,c)),meet(a,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)],[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)],[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)],[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)],[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)],[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)],[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)],[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)],[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)],[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_9,eq_5]),eq_5]),eq_4]),eq_4]),eq_88]),eq_5]),eq_5]),eq_4]),eq_4]),eq_88]),eq_88]),eq_88]),eq_24]),eq_0]),eq_4]),eq_5]),eq_5]),eq_29]),eq_7]),eq_60]),eq_26]),eq_5]),eq_5]),eq_88]),eq_75]),eq_24]),eq_26]),eq_5]),eq_88]),eq_88]),eq_24]),eq_24]),eq_24]),eq_4]),eq_4]),eq_4]),eq_88]),eq_88]),eq_88]),eq_27]),eq_32]),eq_42]),eq_24]),eq_24]),eq_58]),eq_24]),eq_4]),eq_24]),eq_24]),eq_5]),eq_4]),eq_4]),eq_88]),eq_77]),eq_5]),eq_27]),eq_27]),eq_88]),eq_5]),eq_27]),eq_32]),eq_24]),eq_5]),eq_26]),eq_43]),eq_7]),eq_60]),eq_5]),eq_23]),eq_5]),eq_5]),eq_88]),eq_4]),eq_4]),eq_88]),eq_88]),eq_0]),eq_4]),eq_5]),eq_29]),eq_60]),eq_5]),eq_88]),eq_24]),eq_5]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_89]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT010-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n018.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 05:12:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 46.51/46.72  % SZS status Unsatisfiable
% 46.51/46.72  % SZS output start CNFRefutation for /tmp/MaedMax_27359
% See solution above
% 46.51/46.72  
%------------------------------------------------------------------------------