TSTP Solution File: LAT230-10 by Metis---2.4

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LAT230-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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  : 600s
% DateTime : Sun Jul 17 06:01:36 EDT 2022

% Result   : Unsatisfiable 115.97s 116.18s
% Output   : CNFRefutation 116.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  142
%            Number of leaves      :  790
% Syntax   : Number of clauses     : 3789 (1925 unt;   0 nHn;2056 RR)
%            Number of literals    : 6489 (6488 equ;2702 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   12 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   : 7202 ( 212 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq(A,A,B,C) = B ).

cnf(idempotence_of_meet,axiom,
    meet(X,X) = X ).

cnf(idempotence_of_join,axiom,
    join(X,X) = X ).

cnf(absorption1,axiom,
    meet(X,join(X,Y)) = X ).

cnf(absorption2,axiom,
    join(X,meet(X,Y)) = X ).

cnf(commutativity_of_meet,axiom,
    meet(X,Y) = meet(Y,X) ).

cnf(commutativity_of_join,axiom,
    join(X,Y) = join(Y,X) ).

cnf(associativity_of_meet,axiom,
    meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ).

cnf(associativity_of_join,axiom,
    join(join(X,Y),Z) = join(X,join(Y,Z)) ).

cnf(complement_join,axiom,
    join(X,complement(X)) = one ).

cnf(complement_meet,axiom,
    meet(X,complement(X)) = zero ).

cnf(meet_join_complement,axiom,
    ifeq(join(X,Y),one,ifeq(meet(X,Y),zero,complement(X),Y),Y) = Y ).

cnf(equation_H18,axiom,
    join(meet(X,Y),meet(X,Z)) = meet(X,join(meet(X,Y),join(meet(X,Z),meet(Y,join(X,Z))))) ).

cnf(prove_distributivity_hypothesis,hypothesis,
    meet(b,a) = a ).

cnf(prove_distributivity,negated_conjecture,
    join(complement(b),complement(a)) != complement(a) ).

cnf(refute_0_0,plain,
    ( join(X,meet(X,Y)) != X
    | meet(X,Y) != meet(Y,X)
    | join(X,meet(Y,X)) = X ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,meet(X,Y)),X) ),[0,1],$fot(meet(Y,X))]]) ).

cnf(refute_0_1,plain,
    ( join(X,meet(X,Y)) != X
    | join(X,meet(Y,X)) = X ),
    inference(resolve,[$cnf( $equal(meet(X,Y),meet(Y,X)) )],[commutativity_of_meet,refute_0_0]) ).

cnf(refute_0_2,plain,
    join(X,meet(Y,X)) = X,
    inference(resolve,[$cnf( $equal(join(X,meet(X,Y)),X) )],[absorption2,refute_0_1]) ).

cnf(refute_0_3,plain,
    join(join(X_28,Y),meet(X_28,join(X_28,Y))) = join(X_28,Y),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_28,Y))),bind(Y,$fot(X_28))]]) ).

cnf(refute_0_4,plain,
    meet(X_28,join(X_28,Y)) = X_28,
    inference(subst,[],[absorption1:[bind(X,$fot(X_28))]]) ).

cnf(refute_0_5,plain,
    ( join(join(X_28,Y),meet(X_28,join(X_28,Y))) != join(X_28,Y)
    | meet(X_28,join(X_28,Y)) != X_28
    | join(join(X_28,Y),X_28) = join(X_28,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_28,Y),meet(X_28,join(X_28,Y))),join(X_28,Y)) ),[0,1],$fot(X_28)]]) ).

cnf(refute_0_6,plain,
    ( join(join(X_28,Y),meet(X_28,join(X_28,Y))) != join(X_28,Y)
    | join(join(X_28,Y),X_28) = join(X_28,Y) ),
    inference(resolve,[$cnf( $equal(meet(X_28,join(X_28,Y)),X_28) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    join(join(X_28,Y),X_28) = join(X_28,Y),
    inference(resolve,[$cnf( $equal(join(join(X_28,Y),meet(X_28,join(X_28,Y))),join(X_28,Y)) )],[refute_0_3,refute_0_6]) ).

cnf(refute_0_8,plain,
    join(join(X_28,Y),X_28) = join(X_28,join(Y,X_28)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_28)),bind(Z,$fot(X_28))]]) ).

cnf(refute_0_9,plain,
    ( join(join(X_28,Y),X_28) != join(X_28,Y)
    | join(join(X_28,Y),X_28) != join(X_28,join(Y,X_28))
    | join(X_28,join(Y,X_28)) = join(X_28,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_28,Y),X_28),join(X_28,Y)) ),[0],$fot(join(X_28,join(Y,X_28)))]]) ).

cnf(refute_0_10,plain,
    ( join(join(X_28,Y),X_28) != join(X_28,Y)
    | join(X_28,join(Y,X_28)) = join(X_28,Y) ),
    inference(resolve,[$cnf( $equal(join(join(X_28,Y),X_28),join(X_28,join(Y,X_28))) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    join(X_28,join(Y,X_28)) = join(X_28,Y),
    inference(resolve,[$cnf( $equal(join(join(X_28,Y),X_28),join(X_28,Y)) )],[refute_0_7,refute_0_10]) ).

cnf(refute_0_12,plain,
    join(complement(b),join(meet(b,complement(a)),complement(b))) = join(complement(b),meet(b,complement(a))),
    inference(subst,[],[refute_0_11:[bind(Y,$fot(meet(b,complement(a)))),bind(X_28,$fot(complement(b)))]]) ).

cnf(refute_0_13,plain,
    ifeq(join(X_34,X_35),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35) = X_35,
    inference(subst,[],[meet_join_complement:[bind(X,$fot(X_34)),bind(Y,$fot(X_35))]]) ).

cnf(refute_0_14,plain,
    join(X_35,X_34) = join(X_34,X_35),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_35)),bind(Y,$fot(X_34))]]) ).

cnf(refute_0_15,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_16,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_17,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_15,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( join(X_35,X_34) != join(X_34,X_35)
    | join(X_34,X_35) = join(X_35,X_34) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_35,X_34))),bind(Y0,$fot(join(X_34,X_35)))]]) ).

cnf(refute_0_19,plain,
    join(X_34,X_35) = join(X_35,X_34),
    inference(resolve,[$cnf( $equal(join(X_35,X_34),join(X_34,X_35)) )],[refute_0_14,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( ifeq(join(X_34,X_35),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35) != X_35
    | join(X_34,X_35) != join(X_35,X_34)
    | ifeq(join(X_35,X_34),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35) = X_35 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(X_34,X_35),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35),X_35) ),[0,0],$fot(join(X_35,X_34))]]) ).

cnf(refute_0_21,plain,
    ( ifeq(join(X_34,X_35),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35) != X_35
    | ifeq(join(X_35,X_34),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35) = X_35 ),
    inference(resolve,[$cnf( $equal(join(X_34,X_35),join(X_35,X_34)) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    ifeq(join(X_35,X_34),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35) = X_35,
    inference(resolve,[$cnf( $equal(ifeq(join(X_34,X_35),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35),X_35) )],[refute_0_13,refute_0_21]) ).

cnf(refute_0_23,plain,
    ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(meet(a,join(complement(b),meet(b,complement(a)))),zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = join(complement(b),meet(b,complement(a))),
    inference(subst,[],[refute_0_22:[bind(X_34,$fot(a)),bind(X_35,$fot(join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_24,plain,
    meet(meet(X_77,complement(meet(Y,X_77))),Y) = meet(Y,meet(X_77,complement(meet(Y,X_77)))),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(meet(X_77,complement(meet(Y,X_77)))))]]) ).

cnf(refute_0_25,plain,
    meet(meet(X_43,X_44),complement(meet(X_43,X_44))) = zero,
    inference(subst,[],[complement_meet:[bind(X,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_26,plain,
    meet(meet(X_43,X_44),complement(meet(X_43,X_44))) = meet(X_43,meet(X_44,complement(meet(X_43,X_44)))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(complement(meet(X_43,X_44))))]]) ).

cnf(refute_0_27,plain,
    ( meet(meet(X_43,X_44),complement(meet(X_43,X_44))) != meet(X_43,meet(X_44,complement(meet(X_43,X_44))))
    | meet(meet(X_43,X_44),complement(meet(X_43,X_44))) != zero
    | meet(X_43,meet(X_44,complement(meet(X_43,X_44)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,X_44),complement(meet(X_43,X_44))),zero) ),[0],$fot(meet(X_43,meet(X_44,complement(meet(X_43,X_44)))))]]) ).

cnf(refute_0_28,plain,
    ( meet(meet(X_43,X_44),complement(meet(X_43,X_44))) != zero
    | meet(X_43,meet(X_44,complement(meet(X_43,X_44)))) = zero ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),complement(meet(X_43,X_44))),meet(X_43,meet(X_44,complement(meet(X_43,X_44))))) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    meet(X_43,meet(X_44,complement(meet(X_43,X_44)))) = zero,
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),complement(meet(X_43,X_44))),zero) )],[refute_0_25,refute_0_28]) ).

cnf(refute_0_30,plain,
    meet(Y,meet(X_77,complement(meet(Y,X_77)))) = zero,
    inference(subst,[],[refute_0_29:[bind(X_43,$fot(Y)),bind(X_44,$fot(X_77))]]) ).

cnf(refute_0_31,plain,
    ( meet(Y,meet(X_77,complement(meet(Y,X_77)))) != zero
    | meet(meet(X_77,complement(meet(Y,X_77))),Y) != meet(Y,meet(X_77,complement(meet(Y,X_77))))
    | meet(meet(X_77,complement(meet(Y,X_77))),Y) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_77,complement(meet(Y,X_77))),Y),meet(Y,meet(X_77,complement(meet(Y,X_77))))) ),[1],$fot(zero)]]) ).

cnf(refute_0_32,plain,
    ( meet(meet(X_77,complement(meet(Y,X_77))),Y) != meet(Y,meet(X_77,complement(meet(Y,X_77))))
    | meet(meet(X_77,complement(meet(Y,X_77))),Y) = zero ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_77,complement(meet(Y,X_77)))),zero) )],[refute_0_30,refute_0_31]) ).

cnf(refute_0_33,plain,
    meet(meet(X_77,complement(meet(Y,X_77))),Y) = zero,
    inference(resolve,[$cnf( $equal(meet(meet(X_77,complement(meet(Y,X_77))),Y),meet(Y,meet(X_77,complement(meet(Y,X_77))))) )],[refute_0_24,refute_0_32]) ).

cnf(refute_0_34,plain,
    meet(X_9,join(X_9,X_10)) = X_9,
    inference(subst,[],[absorption1:[bind(X,$fot(X_9)),bind(Y,$fot(X_10))]]) ).

cnf(refute_0_35,plain,
    join(X_10,X_9) = join(X_9,X_10),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_10)),bind(Y,$fot(X_9))]]) ).

cnf(refute_0_36,plain,
    ( join(X_10,X_9) != join(X_9,X_10)
    | join(X_9,X_10) = join(X_10,X_9) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_10,X_9))),bind(Y0,$fot(join(X_9,X_10)))]]) ).

cnf(refute_0_37,plain,
    join(X_9,X_10) = join(X_10,X_9),
    inference(resolve,[$cnf( $equal(join(X_10,X_9),join(X_9,X_10)) )],[refute_0_35,refute_0_36]) ).

cnf(refute_0_38,plain,
    ( join(X_9,X_10) != join(X_10,X_9)
    | meet(X_9,join(X_9,X_10)) != X_9
    | meet(X_9,join(X_10,X_9)) = X_9 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_9,join(X_9,X_10)),X_9) ),[0,1],$fot(join(X_10,X_9))]]) ).

cnf(refute_0_39,plain,
    ( meet(X_9,join(X_9,X_10)) != X_9
    | meet(X_9,join(X_10,X_9)) = X_9 ),
    inference(resolve,[$cnf( $equal(join(X_9,X_10),join(X_10,X_9)) )],[refute_0_37,refute_0_38]) ).

cnf(refute_0_40,plain,
    meet(X_9,join(X_10,X_9)) = X_9,
    inference(resolve,[$cnf( $equal(meet(X_9,join(X_9,X_10)),X_9) )],[refute_0_34,refute_0_39]) ).

cnf(refute_0_41,plain,
    meet(meet(X_10,X_15),join(X_10,meet(X_10,X_15))) = meet(X_10,X_15),
    inference(subst,[],[refute_0_40:[bind(X_9,$fot(meet(X_10,X_15)))]]) ).

cnf(refute_0_42,plain,
    join(X_10,meet(X_10,X_15)) = X_10,
    inference(subst,[],[absorption2:[bind(X,$fot(X_10)),bind(Y,$fot(X_15))]]) ).

cnf(refute_0_43,plain,
    ( join(X_10,meet(X_10,X_15)) != X_10
    | meet(meet(X_10,X_15),join(X_10,meet(X_10,X_15))) != meet(X_10,X_15)
    | meet(meet(X_10,X_15),X_10) = meet(X_10,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_10,X_15),join(X_10,meet(X_10,X_15))),meet(X_10,X_15)) ),[0,1],$fot(X_10)]]) ).

cnf(refute_0_44,plain,
    ( meet(meet(X_10,X_15),join(X_10,meet(X_10,X_15))) != meet(X_10,X_15)
    | meet(meet(X_10,X_15),X_10) = meet(X_10,X_15) ),
    inference(resolve,[$cnf( $equal(join(X_10,meet(X_10,X_15)),X_10) )],[refute_0_42,refute_0_43]) ).

cnf(refute_0_45,plain,
    meet(meet(X_10,X_15),X_10) = meet(X_10,X_15),
    inference(resolve,[$cnf( $equal(meet(meet(X_10,X_15),join(X_10,meet(X_10,X_15))),meet(X_10,X_15)) )],[refute_0_41,refute_0_44]) ).

cnf(refute_0_46,plain,
    meet(meet(X_10,X_15),X_10) = meet(X_10,meet(X_15,X_10)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_10)),bind(Y,$fot(X_15)),bind(Z,$fot(X_10))]]) ).

cnf(refute_0_47,plain,
    ( meet(meet(X_10,X_15),X_10) != meet(X_10,X_15)
    | meet(meet(X_10,X_15),X_10) != meet(X_10,meet(X_15,X_10))
    | meet(X_10,meet(X_15,X_10)) = meet(X_10,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_10,X_15),X_10),meet(X_10,X_15)) ),[0],$fot(meet(X_10,meet(X_15,X_10)))]]) ).

cnf(refute_0_48,plain,
    ( meet(meet(X_10,X_15),X_10) != meet(X_10,X_15)
    | meet(X_10,meet(X_15,X_10)) = meet(X_10,X_15) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_10,X_15),X_10),meet(X_10,meet(X_15,X_10))) )],[refute_0_46,refute_0_47]) ).

cnf(refute_0_49,plain,
    meet(X_10,meet(X_15,X_10)) = meet(X_10,X_15),
    inference(resolve,[$cnf( $equal(meet(meet(X_10,X_15),X_10),meet(X_10,X_15)) )],[refute_0_45,refute_0_48]) ).

cnf(refute_0_50,plain,
    meet(X_15,X_10) = meet(X_10,X_15),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_15)),bind(Y,$fot(X_10))]]) ).

cnf(refute_0_51,plain,
    ( meet(X_10,meet(X_15,X_10)) != meet(X_10,X_15)
    | meet(X_15,X_10) != meet(X_10,X_15)
    | meet(X_10,meet(X_10,X_15)) = meet(X_10,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_10,meet(X_15,X_10)),meet(X_10,X_15)) ),[0,1],$fot(meet(X_10,X_15))]]) ).

cnf(refute_0_52,plain,
    ( meet(X_10,meet(X_15,X_10)) != meet(X_10,X_15)
    | meet(X_10,meet(X_10,X_15)) = meet(X_10,X_15) ),
    inference(resolve,[$cnf( $equal(meet(X_15,X_10),meet(X_10,X_15)) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    meet(X_10,meet(X_10,X_15)) = meet(X_10,X_15),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(X_15,X_10)),meet(X_10,X_15)) )],[refute_0_49,refute_0_52]) ).

cnf(refute_0_54,plain,
    meet(X_10,meet(X_10,meet(X_75,X_73))) = meet(X_10,meet(X_75,X_73)),
    inference(subst,[],[refute_0_53:[bind(X_15,$fot(meet(X_75,X_73)))]]) ).

cnf(refute_0_55,plain,
    meet(X,meet(X_43,X_44)) = meet(meet(X_43,X_44),X),
    inference(subst,[],[commutativity_of_meet:[bind(Y,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_56,plain,
    meet(meet(X_43,X_44),X) = meet(X_43,meet(X_44,X)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(X))]]) ).

cnf(refute_0_57,plain,
    ( meet(X,meet(X_43,X_44)) != meet(meet(X_43,X_44),X)
    | meet(meet(X_43,X_44),X) != meet(X_43,meet(X_44,X))
    | meet(X,meet(X_43,X_44)) = meet(X_43,meet(X_44,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X,meet(X_43,X_44)),meet(X_43,meet(X_44,X))) ),[0],$fot(meet(meet(X_43,X_44),X))]]) ).

cnf(refute_0_58,plain,
    ( meet(X,meet(X_43,X_44)) != meet(meet(X_43,X_44),X)
    | meet(X,meet(X_43,X_44)) = meet(X_43,meet(X_44,X)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),X),meet(X_43,meet(X_44,X))) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    meet(X,meet(X_43,X_44)) = meet(X_43,meet(X_44,X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_43,X_44)),meet(meet(X_43,X_44),X)) )],[refute_0_55,refute_0_58]) ).

cnf(refute_0_60,plain,
    meet(X_73,meet(X_10,X_75)) = meet(X_10,meet(X_75,X_73)),
    inference(subst,[],[refute_0_59:[bind(X,$fot(X_73)),bind(X_43,$fot(X_10)),bind(X_44,$fot(X_75))]]) ).

cnf(refute_0_61,plain,
    ( meet(X_73,meet(X_10,X_75)) != meet(X_10,meet(X_75,X_73))
    | meet(X_10,meet(X_75,X_73)) = meet(X_73,meet(X_10,X_75)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_73,meet(X_10,X_75)))),bind(Y0,$fot(meet(X_10,meet(X_75,X_73))))]]) ).

cnf(refute_0_62,plain,
    meet(X_10,meet(X_75,X_73)) = meet(X_73,meet(X_10,X_75)),
    inference(resolve,[$cnf( $equal(meet(X_73,meet(X_10,X_75)),meet(X_10,meet(X_75,X_73))) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( meet(X_10,meet(X_10,meet(X_75,X_73))) != meet(X_10,meet(X_75,X_73))
    | meet(X_10,meet(X_75,X_73)) != meet(X_73,meet(X_10,X_75))
    | meet(X_10,meet(X_73,meet(X_10,X_75))) = meet(X_10,meet(X_75,X_73)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_10,meet(X_10,meet(X_75,X_73))),meet(X_10,meet(X_75,X_73))) ),[0,1],$fot(meet(X_73,meet(X_10,X_75)))]]) ).

cnf(refute_0_64,plain,
    ( meet(X_10,meet(X_10,meet(X_75,X_73))) != meet(X_10,meet(X_75,X_73))
    | meet(X_10,meet(X_73,meet(X_10,X_75))) = meet(X_10,meet(X_75,X_73)) ),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(X_75,X_73)),meet(X_73,meet(X_10,X_75))) )],[refute_0_62,refute_0_63]) ).

cnf(refute_0_65,plain,
    meet(X_10,meet(X_73,meet(X_10,X_75))) = meet(X_10,meet(X_75,X_73)),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(X_10,meet(X_75,X_73))),meet(X_10,meet(X_75,X_73))) )],[refute_0_54,refute_0_64]) ).

cnf(refute_0_66,plain,
    meet(meet(X_43,meet(X_15,X_43)),X_45) = meet(X_43,meet(meet(X_15,X_43),X_45)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(meet(X_15,X_43))),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_67,plain,
    meet(X_43,meet(X_15,X_43)) = meet(X_43,X_15),
    inference(subst,[],[refute_0_49:[bind(X_10,$fot(X_43))]]) ).

cnf(refute_0_68,plain,
    ( meet(X_43,meet(X_15,X_43)) != meet(X_43,X_15)
    | meet(meet(X_43,meet(X_15,X_43)),X_45) != meet(X_43,meet(meet(X_15,X_43),X_45))
    | meet(meet(X_43,X_15),X_45) = meet(X_43,meet(meet(X_15,X_43),X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,meet(X_15,X_43)),X_45),meet(X_43,meet(meet(X_15,X_43),X_45))) ),[0,0],$fot(meet(X_43,X_15))]]) ).

cnf(refute_0_69,plain,
    ( meet(meet(X_43,meet(X_15,X_43)),X_45) != meet(X_43,meet(meet(X_15,X_43),X_45))
    | meet(meet(X_43,X_15),X_45) = meet(X_43,meet(meet(X_15,X_43),X_45)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,X_43)),meet(X_43,X_15)) )],[refute_0_67,refute_0_68]) ).

cnf(refute_0_70,plain,
    meet(meet(X_43,X_15),X_45) = meet(X_43,meet(meet(X_15,X_43),X_45)),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,meet(X_15,X_43)),X_45),meet(X_43,meet(meet(X_15,X_43),X_45))) )],[refute_0_66,refute_0_69]) ).

cnf(refute_0_71,plain,
    meet(meet(X_43,X_15),X_45) = meet(X_43,meet(X_15,X_45)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(X_15)),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_72,plain,
    ( meet(meet(X_43,X_15),X_45) != meet(X_43,meet(X_15,X_45))
    | meet(meet(X_43,X_15),X_45) != meet(X_43,meet(meet(X_15,X_43),X_45))
    | meet(X_43,meet(X_15,X_45)) = meet(X_43,meet(meet(X_15,X_43),X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,X_15),X_45),meet(X_43,meet(meet(X_15,X_43),X_45))) ),[0],$fot(meet(X_43,meet(X_15,X_45)))]]) ).

cnf(refute_0_73,plain,
    ( meet(meet(X_43,X_15),X_45) != meet(X_43,meet(meet(X_15,X_43),X_45))
    | meet(X_43,meet(X_15,X_45)) = meet(X_43,meet(meet(X_15,X_43),X_45)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_15),X_45),meet(X_43,meet(X_15,X_45))) )],[refute_0_71,refute_0_72]) ).

cnf(refute_0_74,plain,
    meet(meet(X_15,X_43),X_45) = meet(X_15,meet(X_43,X_45)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_15)),bind(Y,$fot(X_43)),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_75,plain,
    meet(X_43,meet(meet(X_15,X_43),X_45)) = meet(X_43,meet(meet(X_15,X_43),X_45)),
    introduced(tautology,[refl,[$fot(meet(X_43,meet(meet(X_15,X_43),X_45)))]]) ).

cnf(refute_0_76,plain,
    ( meet(X_43,meet(meet(X_15,X_43),X_45)) != meet(X_43,meet(meet(X_15,X_43),X_45))
    | meet(meet(X_15,X_43),X_45) != meet(X_15,meet(X_43,X_45))
    | meet(X_43,meet(meet(X_15,X_43),X_45)) = meet(X_43,meet(X_15,meet(X_43,X_45))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(meet(X_15,X_43),X_45)),meet(X_43,meet(meet(X_15,X_43),X_45))) ),[1,1],$fot(meet(X_15,meet(X_43,X_45)))]]) ).

cnf(refute_0_77,plain,
    ( meet(meet(X_15,X_43),X_45) != meet(X_15,meet(X_43,X_45))
    | meet(X_43,meet(meet(X_15,X_43),X_45)) = meet(X_43,meet(X_15,meet(X_43,X_45))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(meet(X_15,X_43),X_45)),meet(X_43,meet(meet(X_15,X_43),X_45))) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    meet(X_43,meet(meet(X_15,X_43),X_45)) = meet(X_43,meet(X_15,meet(X_43,X_45))),
    inference(resolve,[$cnf( $equal(meet(meet(X_15,X_43),X_45),meet(X_15,meet(X_43,X_45))) )],[refute_0_74,refute_0_77]) ).

cnf(refute_0_79,plain,
    ( meet(X_43,meet(X_15,X_45)) != meet(X_43,meet(meet(X_15,X_43),X_45))
    | meet(X_43,meet(meet(X_15,X_43),X_45)) != meet(X_43,meet(X_15,meet(X_43,X_45)))
    | meet(X_43,meet(X_15,X_45)) = meet(X_43,meet(X_15,meet(X_43,X_45))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_43,meet(X_15,X_45)),meet(X_43,meet(X_15,meet(X_43,X_45)))) ),[0],$fot(meet(X_43,meet(meet(X_15,X_43),X_45)))]]) ).

cnf(refute_0_80,plain,
    ( meet(X_43,meet(X_15,X_45)) != meet(X_43,meet(meet(X_15,X_43),X_45))
    | meet(X_43,meet(X_15,X_45)) = meet(X_43,meet(X_15,meet(X_43,X_45))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(meet(X_15,X_43),X_45)),meet(X_43,meet(X_15,meet(X_43,X_45)))) )],[refute_0_78,refute_0_79]) ).

cnf(refute_0_81,plain,
    ( meet(meet(X_43,X_15),X_45) != meet(X_43,meet(meet(X_15,X_43),X_45))
    | meet(X_43,meet(X_15,X_45)) = meet(X_43,meet(X_15,meet(X_43,X_45))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,X_45)),meet(X_43,meet(meet(X_15,X_43),X_45))) )],[refute_0_73,refute_0_80]) ).

cnf(refute_0_82,plain,
    meet(X_43,meet(X_15,X_45)) = meet(X_43,meet(X_15,meet(X_43,X_45))),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_15),X_45),meet(X_43,meet(meet(X_15,X_43),X_45))) )],[refute_0_70,refute_0_81]) ).

cnf(refute_0_83,plain,
    ( meet(X_43,meet(X_15,X_45)) != meet(X_43,meet(X_15,meet(X_43,X_45)))
    | meet(X_43,meet(X_15,meet(X_43,X_45))) = meet(X_43,meet(X_15,X_45)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_43,meet(X_15,X_45)))),bind(Y0,$fot(meet(X_43,meet(X_15,meet(X_43,X_45)))))]]) ).

cnf(refute_0_84,plain,
    meet(X_43,meet(X_15,meet(X_43,X_45))) = meet(X_43,meet(X_15,X_45)),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,X_45)),meet(X_43,meet(X_15,meet(X_43,X_45)))) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    meet(X_10,meet(X_73,meet(X_10,X_75))) = meet(X_10,meet(X_73,X_75)),
    inference(subst,[],[refute_0_84:[bind(X_15,$fot(X_73)),bind(X_43,$fot(X_10)),bind(X_45,$fot(X_75))]]) ).

cnf(refute_0_86,plain,
    ( meet(X_10,meet(X_73,meet(X_10,X_75))) != meet(X_10,meet(X_73,X_75))
    | meet(X_10,meet(X_73,meet(X_10,X_75))) != meet(X_10,meet(X_75,X_73))
    | meet(X_10,meet(X_73,X_75)) = meet(X_10,meet(X_75,X_73)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_10,meet(X_73,meet(X_10,X_75))),meet(X_10,meet(X_75,X_73))) ),[0],$fot(meet(X_10,meet(X_73,X_75)))]]) ).

cnf(refute_0_87,plain,
    ( meet(X_10,meet(X_73,meet(X_10,X_75))) != meet(X_10,meet(X_75,X_73))
    | meet(X_10,meet(X_73,X_75)) = meet(X_10,meet(X_75,X_73)) ),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(X_73,meet(X_10,X_75))),meet(X_10,meet(X_73,X_75))) )],[refute_0_85,refute_0_86]) ).

cnf(refute_0_88,plain,
    meet(X_10,meet(X_73,X_75)) = meet(X_10,meet(X_75,X_73)),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(X_73,meet(X_10,X_75))),meet(X_10,meet(X_75,X_73))) )],[refute_0_65,refute_0_87]) ).

cnf(refute_0_89,plain,
    ( meet(X_10,meet(X_73,X_75)) != meet(X_10,meet(X_75,X_73))
    | meet(X_10,meet(X_75,X_73)) = meet(X_10,meet(X_73,X_75)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_10,meet(X_73,X_75)))),bind(Y0,$fot(meet(X_10,meet(X_75,X_73))))]]) ).

cnf(refute_0_90,plain,
    meet(X_10,meet(X_75,X_73)) = meet(X_10,meet(X_73,X_75)),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(X_73,X_75)),meet(X_10,meet(X_75,X_73))) )],[refute_0_88,refute_0_89]) ).

cnf(refute_0_91,plain,
    meet(X_77,meet(complement(meet(Y,X_77)),Y)) = meet(X_77,meet(Y,complement(meet(Y,X_77)))),
    inference(subst,[],[refute_0_90:[bind(X_10,$fot(X_77)),bind(X_73,$fot(Y)),bind(X_75,$fot(complement(meet(Y,X_77))))]]) ).

cnf(refute_0_92,plain,
    meet(meet(X_77,complement(meet(Y,X_77))),Y) = meet(X_77,meet(complement(meet(Y,X_77)),Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_77)),bind(Y,$fot(complement(meet(Y,X_77)))),bind(Z,$fot(Y))]]) ).

cnf(refute_0_93,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_94,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_17,refute_0_93]) ).

cnf(refute_0_95,plain,
    ( meet(X_77,meet(complement(meet(Y,X_77)),Y)) != meet(X_77,meet(Y,complement(meet(Y,X_77))))
    | meet(meet(X_77,complement(meet(Y,X_77))),Y) != meet(X_77,meet(complement(meet(Y,X_77)),Y))
    | meet(meet(X_77,complement(meet(Y,X_77))),Y) = meet(X_77,meet(Y,complement(meet(Y,X_77)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_77,complement(meet(Y,X_77))),Y))),bind(Y0,$fot(meet(X_77,meet(complement(meet(Y,X_77)),Y)))),bind(Z0,$fot(meet(X_77,meet(Y,complement(meet(Y,X_77))))))]]) ).

cnf(refute_0_96,plain,
    ( meet(X_77,meet(complement(meet(Y,X_77)),Y)) != meet(X_77,meet(Y,complement(meet(Y,X_77))))
    | meet(meet(X_77,complement(meet(Y,X_77))),Y) = meet(X_77,meet(Y,complement(meet(Y,X_77)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_77,complement(meet(Y,X_77))),Y),meet(X_77,meet(complement(meet(Y,X_77)),Y))) )],[refute_0_92,refute_0_95]) ).

cnf(refute_0_97,plain,
    meet(meet(X_77,complement(meet(Y,X_77))),Y) = meet(X_77,meet(Y,complement(meet(Y,X_77)))),
    inference(resolve,[$cnf( $equal(meet(X_77,meet(complement(meet(Y,X_77)),Y)),meet(X_77,meet(Y,complement(meet(Y,X_77))))) )],[refute_0_91,refute_0_96]) ).

cnf(refute_0_98,plain,
    ( meet(meet(X_77,complement(meet(Y,X_77))),Y) != meet(X_77,meet(Y,complement(meet(Y,X_77))))
    | meet(meet(X_77,complement(meet(Y,X_77))),Y) != zero
    | meet(X_77,meet(Y,complement(meet(Y,X_77)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_77,complement(meet(Y,X_77))),Y),zero) ),[0],$fot(meet(X_77,meet(Y,complement(meet(Y,X_77)))))]]) ).

cnf(refute_0_99,plain,
    ( meet(meet(X_77,complement(meet(Y,X_77))),Y) != zero
    | meet(X_77,meet(Y,complement(meet(Y,X_77)))) = zero ),
    inference(resolve,[$cnf( $equal(meet(meet(X_77,complement(meet(Y,X_77))),Y),meet(X_77,meet(Y,complement(meet(Y,X_77))))) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    meet(X_77,meet(Y,complement(meet(Y,X_77)))) = zero,
    inference(resolve,[$cnf( $equal(meet(meet(X_77,complement(meet(Y,X_77))),Y),zero) )],[refute_0_33,refute_0_99]) ).

cnf(refute_0_101,plain,
    meet(join(meet(b,complement(a)),X_163),meet(b,complement(meet(b,join(meet(b,complement(a)),X_163))))) = zero,
    inference(subst,[],[refute_0_100:[bind(Y,$fot(b)),bind(X_77,$fot(join(meet(b,complement(a)),X_163)))]]) ).

cnf(refute_0_102,plain,
    join(meet(b,X_158),meet(b,complement(a))) = meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,join(b,complement(a)))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(b)),bind(Y,$fot(X_158)),bind(Z,$fot(complement(a)))]]) ).

cnf(refute_0_103,plain,
    join(join(a,b),X_33) = join(a,join(b,X_33)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(X_33))]]) ).

cnf(refute_0_104,plain,
    join(b,meet(a,b)) = b,
    inference(subst,[],[refute_0_2:[bind(X,$fot(b)),bind(Y,$fot(a))]]) ).

cnf(refute_0_105,plain,
    ( meet(X,Y) != meet(Y,X)
    | meet(Y,X) = meet(X,Y) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,Y))),bind(Y0,$fot(meet(Y,X)))]]) ).

cnf(refute_0_106,plain,
    meet(Y,X) = meet(X,Y),
    inference(resolve,[$cnf( $equal(meet(X,Y),meet(Y,X)) )],[commutativity_of_meet,refute_0_105]) ).

cnf(refute_0_107,plain,
    meet(b,a) = meet(a,b),
    inference(subst,[],[refute_0_106:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).

cnf(refute_0_108,plain,
    ( meet(b,a) != a
    | meet(b,a) != meet(a,b)
    | meet(a,b) = a ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,a),a) ),[0],$fot(meet(a,b))]]) ).

cnf(refute_0_109,plain,
    ( meet(b,a) != a
    | meet(a,b) = a ),
    inference(resolve,[$cnf( $equal(meet(b,a),meet(a,b)) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    meet(a,b) = a,
    inference(resolve,[$cnf( $equal(meet(b,a),a) )],[prove_distributivity_hypothesis,refute_0_109]) ).

cnf(refute_0_111,plain,
    ( join(b,meet(a,b)) != b
    | meet(a,b) != a
    | join(b,a) = b ),
    introduced(tautology,[equality,[$cnf( $equal(join(b,meet(a,b)),b) ),[0,1],$fot(a)]]) ).

cnf(refute_0_112,plain,
    ( join(b,meet(a,b)) != b
    | join(b,a) = b ),
    inference(resolve,[$cnf( $equal(meet(a,b),a) )],[refute_0_110,refute_0_111]) ).

cnf(refute_0_113,plain,
    join(b,a) = b,
    inference(resolve,[$cnf( $equal(join(b,meet(a,b)),b) )],[refute_0_104,refute_0_112]) ).

cnf(refute_0_114,plain,
    ( join(X,Y) != join(Y,X)
    | join(Y,X) = join(X,Y) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X,Y))),bind(Y0,$fot(join(Y,X)))]]) ).

cnf(refute_0_115,plain,
    join(Y,X) = join(X,Y),
    inference(resolve,[$cnf( $equal(join(X,Y),join(Y,X)) )],[commutativity_of_join,refute_0_114]) ).

cnf(refute_0_116,plain,
    join(b,a) = join(a,b),
    inference(subst,[],[refute_0_115:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).

cnf(refute_0_117,plain,
    ( join(b,a) != b
    | join(b,a) != join(a,b)
    | join(a,b) = b ),
    introduced(tautology,[equality,[$cnf( $equal(join(b,a),b) ),[0],$fot(join(a,b))]]) ).

cnf(refute_0_118,plain,
    ( join(b,a) != b
    | join(a,b) = b ),
    inference(resolve,[$cnf( $equal(join(b,a),join(a,b)) )],[refute_0_116,refute_0_117]) ).

cnf(refute_0_119,plain,
    join(a,b) = b,
    inference(resolve,[$cnf( $equal(join(b,a),b) )],[refute_0_113,refute_0_118]) ).

cnf(refute_0_120,plain,
    ( join(a,b) != b
    | join(join(a,b),X_33) != join(a,join(b,X_33))
    | join(b,X_33) = join(a,join(b,X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(a,b),X_33),join(a,join(b,X_33))) ),[0,0],$fot(b)]]) ).

cnf(refute_0_121,plain,
    ( join(join(a,b),X_33) != join(a,join(b,X_33))
    | join(b,X_33) = join(a,join(b,X_33)) ),
    inference(resolve,[$cnf( $equal(join(a,b),b) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    join(b,X_33) = join(a,join(b,X_33)),
    inference(resolve,[$cnf( $equal(join(join(a,b),X_33),join(a,join(b,X_33))) )],[refute_0_103,refute_0_121]) ).

cnf(refute_0_123,plain,
    join(b,X_57) = join(a,join(b,X_57)),
    inference(subst,[],[refute_0_122:[bind(X_33,$fot(X_57))]]) ).

cnf(refute_0_124,plain,
    join(X_57,b) = join(b,X_57),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_57)),bind(Y,$fot(b))]]) ).

cnf(refute_0_125,plain,
    ( join(X_57,b) != join(b,X_57)
    | join(b,X_57) = join(X_57,b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_57,b))),bind(Y0,$fot(join(b,X_57)))]]) ).

cnf(refute_0_126,plain,
    join(b,X_57) = join(X_57,b),
    inference(resolve,[$cnf( $equal(join(X_57,b),join(b,X_57)) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    ( join(b,X_57) != join(X_57,b)
    | join(b,X_57) != join(a,join(b,X_57))
    | join(b,X_57) = join(a,join(X_57,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(b,X_57),join(a,join(b,X_57))) ),[1,1],$fot(join(X_57,b))]]) ).

cnf(refute_0_128,plain,
    ( join(b,X_57) != join(a,join(b,X_57))
    | join(b,X_57) = join(a,join(X_57,b)) ),
    inference(resolve,[$cnf( $equal(join(b,X_57),join(X_57,b)) )],[refute_0_126,refute_0_127]) ).

cnf(refute_0_129,plain,
    join(b,X_57) = join(a,join(X_57,b)),
    inference(resolve,[$cnf( $equal(join(b,X_57),join(a,join(b,X_57))) )],[refute_0_123,refute_0_128]) ).

cnf(refute_0_130,plain,
    join(b,complement(a)) = join(a,join(complement(a),b)),
    inference(subst,[],[refute_0_129:[bind(X_57,$fot(complement(a)))]]) ).

cnf(refute_0_131,plain,
    join(join(X_31,complement(X_31)),X_33) = join(X_31,join(complement(X_31),X_33)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_31)),bind(Y,$fot(complement(X_31))),bind(Z,$fot(X_33))]]) ).

cnf(refute_0_132,plain,
    join(X_31,complement(X_31)) = one,
    inference(subst,[],[complement_join:[bind(X,$fot(X_31))]]) ).

cnf(refute_0_133,plain,
    ( join(X_31,complement(X_31)) != one
    | join(join(X_31,complement(X_31)),X_33) != join(X_31,join(complement(X_31),X_33))
    | join(one,X_33) = join(X_31,join(complement(X_31),X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_31,complement(X_31)),X_33),join(X_31,join(complement(X_31),X_33))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_134,plain,
    ( join(join(X_31,complement(X_31)),X_33) != join(X_31,join(complement(X_31),X_33))
    | join(one,X_33) = join(X_31,join(complement(X_31),X_33)) ),
    inference(resolve,[$cnf( $equal(join(X_31,complement(X_31)),one) )],[refute_0_132,refute_0_133]) ).

cnf(refute_0_135,plain,
    join(one,X_33) = join(X_31,join(complement(X_31),X_33)),
    inference(resolve,[$cnf( $equal(join(join(X_31,complement(X_31)),X_33),join(X_31,join(complement(X_31),X_33))) )],[refute_0_131,refute_0_134]) ).

cnf(refute_0_136,plain,
    meet(one,join(one,Y)) = one,
    inference(subst,[],[absorption1:[bind(X,$fot(one))]]) ).

cnf(refute_0_137,plain,
    meet(X_9,join(X_9,complement(X_9))) = X_9,
    inference(subst,[],[absorption1:[bind(X,$fot(X_9)),bind(Y,$fot(complement(X_9)))]]) ).

cnf(refute_0_138,plain,
    join(X_9,complement(X_9)) = one,
    inference(subst,[],[complement_join:[bind(X,$fot(X_9))]]) ).

cnf(refute_0_139,plain,
    ( join(X_9,complement(X_9)) != one
    | meet(X_9,join(X_9,complement(X_9))) != X_9
    | meet(X_9,one) = X_9 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_9,join(X_9,complement(X_9))),X_9) ),[0,1],$fot(one)]]) ).

cnf(refute_0_140,plain,
    ( meet(X_9,join(X_9,complement(X_9))) != X_9
    | meet(X_9,one) = X_9 ),
    inference(resolve,[$cnf( $equal(join(X_9,complement(X_9)),one) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    meet(X_9,one) = X_9,
    inference(resolve,[$cnf( $equal(meet(X_9,join(X_9,complement(X_9))),X_9) )],[refute_0_137,refute_0_140]) ).

cnf(refute_0_142,plain,
    meet(X_9,one) = meet(one,X_9),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_9)),bind(Y,$fot(one))]]) ).

cnf(refute_0_143,plain,
    ( meet(X_9,one) != X_9
    | meet(X_9,one) != meet(one,X_9)
    | meet(one,X_9) = X_9 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_9,one),X_9) ),[0],$fot(meet(one,X_9))]]) ).

cnf(refute_0_144,plain,
    ( meet(X_9,one) != X_9
    | meet(one,X_9) = X_9 ),
    inference(resolve,[$cnf( $equal(meet(X_9,one),meet(one,X_9)) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    meet(one,X_9) = X_9,
    inference(resolve,[$cnf( $equal(meet(X_9,one),X_9) )],[refute_0_141,refute_0_144]) ).

cnf(refute_0_146,plain,
    meet(one,join(one,Y)) = join(one,Y),
    inference(subst,[],[refute_0_145:[bind(X_9,$fot(join(one,Y)))]]) ).

cnf(refute_0_147,plain,
    ( meet(one,join(one,Y)) != join(one,Y)
    | meet(one,join(one,Y)) != one
    | join(one,Y) = one ),
    introduced(tautology,[equality,[$cnf( $equal(meet(one,join(one,Y)),one) ),[0],$fot(join(one,Y))]]) ).

cnf(refute_0_148,plain,
    ( meet(one,join(one,Y)) != one
    | join(one,Y) = one ),
    inference(resolve,[$cnf( $equal(meet(one,join(one,Y)),join(one,Y)) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    join(one,Y) = one,
    inference(resolve,[$cnf( $equal(meet(one,join(one,Y)),one) )],[refute_0_136,refute_0_148]) ).

cnf(refute_0_150,plain,
    join(one,X_33) = one,
    inference(subst,[],[refute_0_149:[bind(Y,$fot(X_33))]]) ).

cnf(refute_0_151,plain,
    ( join(one,X_33) != join(X_31,join(complement(X_31),X_33))
    | join(one,X_33) != one
    | one = join(X_31,join(complement(X_31),X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,X_33),join(X_31,join(complement(X_31),X_33))) ),[0],$fot(one)]]) ).

cnf(refute_0_152,plain,
    ( join(one,X_33) != join(X_31,join(complement(X_31),X_33))
    | one = join(X_31,join(complement(X_31),X_33)) ),
    inference(resolve,[$cnf( $equal(join(one,X_33),one) )],[refute_0_150,refute_0_151]) ).

cnf(refute_0_153,plain,
    one = join(X_31,join(complement(X_31),X_33)),
    inference(resolve,[$cnf( $equal(join(one,X_33),join(X_31,join(complement(X_31),X_33))) )],[refute_0_135,refute_0_152]) ).

cnf(refute_0_154,plain,
    one = join(a,join(complement(a),b)),
    inference(subst,[],[refute_0_153:[bind(X_31,$fot(a)),bind(X_33,$fot(b))]]) ).

cnf(refute_0_155,plain,
    ( one != join(a,join(complement(a),b))
    | join(a,join(complement(a),b)) = one ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(one)),bind(Y0,$fot(join(a,join(complement(a),b))))]]) ).

cnf(refute_0_156,plain,
    join(a,join(complement(a),b)) = one,
    inference(resolve,[$cnf( $equal(one,join(a,join(complement(a),b))) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    ( join(a,join(complement(a),b)) != one
    | join(b,complement(a)) != join(a,join(complement(a),b))
    | join(b,complement(a)) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(b,complement(a)),join(a,join(complement(a),b))) ),[1],$fot(one)]]) ).

cnf(refute_0_158,plain,
    ( join(b,complement(a)) != join(a,join(complement(a),b))
    | join(b,complement(a)) = one ),
    inference(resolve,[$cnf( $equal(join(a,join(complement(a),b)),one) )],[refute_0_156,refute_0_157]) ).

cnf(refute_0_159,plain,
    join(b,complement(a)) = one,
    inference(resolve,[$cnf( $equal(join(b,complement(a)),join(a,join(complement(a),b))) )],[refute_0_130,refute_0_158]) ).

cnf(refute_0_160,plain,
    ( join(b,complement(a)) != one
    | join(meet(b,X_158),meet(b,complement(a))) != meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,join(b,complement(a))))))
    | join(meet(b,X_158),meet(b,complement(a))) = meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_158),meet(b,complement(a))),meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,join(b,complement(a))))))) ),[1,1,1,1,1],$fot(one)]]) ).

cnf(refute_0_161,plain,
    ( join(meet(b,X_158),meet(b,complement(a))) != meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,join(b,complement(a))))))
    | join(meet(b,X_158),meet(b,complement(a))) = meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))) ),
    inference(resolve,[$cnf( $equal(join(b,complement(a)),one) )],[refute_0_159,refute_0_160]) ).

cnf(refute_0_162,plain,
    join(meet(b,X_158),meet(b,complement(a))) = meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))),
    inference(resolve,[$cnf( $equal(join(meet(b,X_158),meet(b,complement(a))),meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,join(b,complement(a))))))) )],[refute_0_102,refute_0_161]) ).

cnf(refute_0_163,plain,
    join(X,join(X_31,X_32)) = join(join(X_31,X_32),X),
    inference(subst,[],[commutativity_of_join:[bind(Y,$fot(join(X_31,X_32)))]]) ).

cnf(refute_0_164,plain,
    join(join(X_31,X_32),X) = join(X_31,join(X_32,X)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_31)),bind(Y,$fot(X_32)),bind(Z,$fot(X))]]) ).

cnf(refute_0_165,plain,
    ( join(X,join(X_31,X_32)) != join(join(X_31,X_32),X)
    | join(join(X_31,X_32),X) != join(X_31,join(X_32,X))
    | join(X,join(X_31,X_32)) = join(X_31,join(X_32,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X,join(X_31,X_32)),join(X_31,join(X_32,X))) ),[0],$fot(join(join(X_31,X_32),X))]]) ).

cnf(refute_0_166,plain,
    ( join(X,join(X_31,X_32)) != join(join(X_31,X_32),X)
    | join(X,join(X_31,X_32)) = join(X_31,join(X_32,X)) ),
    inference(resolve,[$cnf( $equal(join(join(X_31,X_32),X),join(X_31,join(X_32,X))) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    join(X,join(X_31,X_32)) = join(X_31,join(X_32,X)),
    inference(resolve,[$cnf( $equal(join(X,join(X_31,X_32)),join(join(X_31,X_32),X)) )],[refute_0_163,refute_0_166]) ).

cnf(refute_0_168,plain,
    join(meet(Y,X_66),join(X_65,X_66)) = join(X_65,join(X_66,meet(Y,X_66))),
    inference(subst,[],[refute_0_167:[bind(X,$fot(meet(Y,X_66))),bind(X_31,$fot(X_65)),bind(X_32,$fot(X_66))]]) ).

cnf(refute_0_169,plain,
    join(X_66,meet(Y,X_66)) = X_66,
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_66))]]) ).

cnf(refute_0_170,plain,
    ( join(X_66,meet(Y,X_66)) != X_66
    | join(meet(Y,X_66),join(X_65,X_66)) != join(X_65,join(X_66,meet(Y,X_66)))
    | join(meet(Y,X_66),join(X_65,X_66)) = join(X_65,X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,X_66),join(X_65,X_66)),join(X_65,join(X_66,meet(Y,X_66)))) ),[1,1],$fot(X_66)]]) ).

cnf(refute_0_171,plain,
    ( join(meet(Y,X_66),join(X_65,X_66)) != join(X_65,join(X_66,meet(Y,X_66)))
    | join(meet(Y,X_66),join(X_65,X_66)) = join(X_65,X_66) ),
    inference(resolve,[$cnf( $equal(join(X_66,meet(Y,X_66)),X_66) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    join(meet(Y,X_66),join(X_65,X_66)) = join(X_65,X_66),
    inference(resolve,[$cnf( $equal(join(meet(Y,X_66),join(X_65,X_66)),join(X_65,join(X_66,meet(Y,X_66)))) )],[refute_0_168,refute_0_171]) ).

cnf(refute_0_173,plain,
    join(X_64,join(X_65,X_66)) = join(X_65,join(X_66,X_64)),
    inference(subst,[],[refute_0_167:[bind(X,$fot(X_64)),bind(X_31,$fot(X_65)),bind(X_32,$fot(X_66))]]) ).

cnf(refute_0_174,plain,
    join(X_66,X_65) = join(X_65,X_66),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_66)),bind(Y,$fot(X_65))]]) ).

cnf(refute_0_175,plain,
    ( join(X_66,X_65) != join(X_65,X_66)
    | join(X_65,X_66) = join(X_66,X_65) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_66,X_65))),bind(Y0,$fot(join(X_65,X_66)))]]) ).

cnf(refute_0_176,plain,
    join(X_65,X_66) = join(X_66,X_65),
    inference(resolve,[$cnf( $equal(join(X_66,X_65),join(X_65,X_66)) )],[refute_0_174,refute_0_175]) ).

cnf(refute_0_177,plain,
    ( join(X_64,join(X_65,X_66)) != join(X_65,join(X_66,X_64))
    | join(X_65,X_66) != join(X_66,X_65)
    | join(X_64,join(X_66,X_65)) = join(X_65,join(X_66,X_64)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_64,join(X_65,X_66)),join(X_65,join(X_66,X_64))) ),[0,1],$fot(join(X_66,X_65))]]) ).

cnf(refute_0_178,plain,
    ( join(X_64,join(X_65,X_66)) != join(X_65,join(X_66,X_64))
    | join(X_64,join(X_66,X_65)) = join(X_65,join(X_66,X_64)) ),
    inference(resolve,[$cnf( $equal(join(X_65,X_66),join(X_66,X_65)) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    join(X_64,join(X_66,X_65)) = join(X_65,join(X_66,X_64)),
    inference(resolve,[$cnf( $equal(join(X_64,join(X_65,X_66)),join(X_65,join(X_66,X_64))) )],[refute_0_173,refute_0_178]) ).

cnf(refute_0_180,plain,
    ( join(X_64,join(X_66,X_65)) != join(X_65,join(X_66,X_64))
    | join(X_65,join(X_66,X_64)) = join(X_64,join(X_66,X_65)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_64,join(X_66,X_65)))),bind(Y0,$fot(join(X_65,join(X_66,X_64))))]]) ).

cnf(refute_0_181,plain,
    join(X_65,join(X_66,X_64)) = join(X_64,join(X_66,X_65)),
    inference(resolve,[$cnf( $equal(join(X_64,join(X_66,X_65)),join(X_65,join(X_66,X_64))) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    join(meet(Y,X_66),join(X_65,X_66)) = join(X_66,join(X_65,meet(Y,X_66))),
    inference(subst,[],[refute_0_181:[bind(X_64,$fot(X_66)),bind(X_65,$fot(meet(Y,X_66))),bind(X_66,$fot(X_65))]]) ).

cnf(refute_0_183,plain,
    ( join(meet(Y,X_66),join(X_65,X_66)) != join(X_65,X_66)
    | join(meet(Y,X_66),join(X_65,X_66)) != join(X_66,join(X_65,meet(Y,X_66)))
    | join(X_66,join(X_65,meet(Y,X_66))) = join(X_65,X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,X_66),join(X_65,X_66)),join(X_65,X_66)) ),[0],$fot(join(X_66,join(X_65,meet(Y,X_66))))]]) ).

cnf(refute_0_184,plain,
    ( join(meet(Y,X_66),join(X_65,X_66)) != join(X_65,X_66)
    | join(X_66,join(X_65,meet(Y,X_66))) = join(X_65,X_66) ),
    inference(resolve,[$cnf( $equal(join(meet(Y,X_66),join(X_65,X_66)),join(X_66,join(X_65,meet(Y,X_66)))) )],[refute_0_182,refute_0_183]) ).

cnf(refute_0_185,plain,
    join(X_66,join(X_65,meet(Y,X_66))) = join(X_65,X_66),
    inference(resolve,[$cnf( $equal(join(meet(Y,X_66),join(X_65,X_66)),join(X_65,X_66)) )],[refute_0_172,refute_0_184]) ).

cnf(refute_0_186,plain,
    join(X_158,join(meet(b,complement(a)),meet(b,X_158))) = join(meet(b,complement(a)),X_158),
    inference(subst,[],[refute_0_185:[bind(Y,$fot(b)),bind(X_65,$fot(meet(b,complement(a)))),bind(X_66,$fot(X_158))]]) ).

cnf(refute_0_187,plain,
    join(join(X,Y),join(Y,X_41)) = join(X,join(Y,join(Y,X_41))),
    inference(subst,[],[associativity_of_join:[bind(Z,$fot(join(Y,X_41)))]]) ).

cnf(refute_0_188,plain,
    join(join(X_32,X_32),X_33) = join(X_32,join(X_32,X_33)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_32)),bind(Y,$fot(X_32)),bind(Z,$fot(X_33))]]) ).

cnf(refute_0_189,plain,
    join(X_32,X_32) = X_32,
    inference(subst,[],[idempotence_of_join:[bind(X,$fot(X_32))]]) ).

cnf(refute_0_190,plain,
    ( join(X_32,X_32) != X_32
    | join(join(X_32,X_32),X_33) != join(X_32,join(X_32,X_33))
    | join(X_32,X_33) = join(X_32,join(X_32,X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_32,X_32),X_33),join(X_32,join(X_32,X_33))) ),[0,0],$fot(X_32)]]) ).

cnf(refute_0_191,plain,
    ( join(join(X_32,X_32),X_33) != join(X_32,join(X_32,X_33))
    | join(X_32,X_33) = join(X_32,join(X_32,X_33)) ),
    inference(resolve,[$cnf( $equal(join(X_32,X_32),X_32) )],[refute_0_189,refute_0_190]) ).

cnf(refute_0_192,plain,
    join(X_32,X_33) = join(X_32,join(X_32,X_33)),
    inference(resolve,[$cnf( $equal(join(join(X_32,X_32),X_33),join(X_32,join(X_32,X_33))) )],[refute_0_188,refute_0_191]) ).

cnf(refute_0_193,plain,
    join(Y,X_41) = join(Y,join(Y,X_41)),
    inference(subst,[],[refute_0_192:[bind(X_32,$fot(Y)),bind(X_33,$fot(X_41))]]) ).

cnf(refute_0_194,plain,
    ( join(Y,X_41) != join(Y,join(Y,X_41))
    | join(Y,join(Y,X_41)) = join(Y,X_41) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(Y,X_41))),bind(Y0,$fot(join(Y,join(Y,X_41))))]]) ).

cnf(refute_0_195,plain,
    join(Y,join(Y,X_41)) = join(Y,X_41),
    inference(resolve,[$cnf( $equal(join(Y,X_41),join(Y,join(Y,X_41))) )],[refute_0_193,refute_0_194]) ).

cnf(refute_0_196,plain,
    ( join(Y,join(Y,X_41)) != join(Y,X_41)
    | join(join(X,Y),join(Y,X_41)) != join(X,join(Y,join(Y,X_41)))
    | join(join(X,Y),join(Y,X_41)) = join(X,join(Y,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,Y),join(Y,X_41)),join(X,join(Y,join(Y,X_41)))) ),[1,1],$fot(join(Y,X_41))]]) ).

cnf(refute_0_197,plain,
    ( join(join(X,Y),join(Y,X_41)) != join(X,join(Y,join(Y,X_41)))
    | join(join(X,Y),join(Y,X_41)) = join(X,join(Y,X_41)) ),
    inference(resolve,[$cnf( $equal(join(Y,join(Y,X_41)),join(Y,X_41)) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    join(join(X,Y),join(Y,X_41)) = join(X,join(Y,X_41)),
    inference(resolve,[$cnf( $equal(join(join(X,Y),join(Y,X_41)),join(X,join(Y,join(Y,X_41)))) )],[refute_0_187,refute_0_197]) ).

cnf(refute_0_199,plain,
    join(join(X,Y),X_41) = join(X,join(Y,X_41)),
    inference(subst,[],[associativity_of_join:[bind(Z,$fot(X_41))]]) ).

cnf(refute_0_200,plain,
    join(Y,join(join(X,Y),X_41)) = join(Y,join(join(X,Y),X_41)),
    introduced(tautology,[refl,[$fot(join(Y,join(join(X,Y),X_41)))]]) ).

cnf(refute_0_201,plain,
    ( join(Y,join(join(X,Y),X_41)) != join(Y,join(join(X,Y),X_41))
    | join(join(X,Y),X_41) != join(X,join(Y,X_41))
    | join(Y,join(join(X,Y),X_41)) = join(Y,join(X,join(Y,X_41))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(Y,join(join(X,Y),X_41)),join(Y,join(join(X,Y),X_41))) ),[1,1],$fot(join(X,join(Y,X_41)))]]) ).

cnf(refute_0_202,plain,
    ( join(join(X,Y),X_41) != join(X,join(Y,X_41))
    | join(Y,join(join(X,Y),X_41)) = join(Y,join(X,join(Y,X_41))) ),
    inference(resolve,[$cnf( $equal(join(Y,join(join(X,Y),X_41)),join(Y,join(join(X,Y),X_41))) )],[refute_0_200,refute_0_201]) ).

cnf(refute_0_203,plain,
    join(Y,join(join(X,Y),X_41)) = join(Y,join(X,join(Y,X_41))),
    inference(resolve,[$cnf( $equal(join(join(X,Y),X_41),join(X,join(Y,X_41))) )],[refute_0_199,refute_0_202]) ).

cnf(refute_0_204,plain,
    join(join(X_31,X_32),X_33) = join(X_31,join(X_32,X_33)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_31)),bind(Y,$fot(X_32)),bind(Z,$fot(X_33))]]) ).

cnf(refute_0_205,plain,
    join(X_32,X_31) = join(X_31,X_32),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_32)),bind(Y,$fot(X_31))]]) ).

cnf(refute_0_206,plain,
    ( join(X_32,X_31) != join(X_31,X_32)
    | join(X_31,X_32) = join(X_32,X_31) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_32,X_31))),bind(Y0,$fot(join(X_31,X_32)))]]) ).

cnf(refute_0_207,plain,
    join(X_31,X_32) = join(X_32,X_31),
    inference(resolve,[$cnf( $equal(join(X_32,X_31),join(X_31,X_32)) )],[refute_0_205,refute_0_206]) ).

cnf(refute_0_208,plain,
    ( join(X_31,X_32) != join(X_32,X_31)
    | join(join(X_31,X_32),X_33) != join(X_31,join(X_32,X_33))
    | join(join(X_32,X_31),X_33) = join(X_31,join(X_32,X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_31,X_32),X_33),join(X_31,join(X_32,X_33))) ),[0,0],$fot(join(X_32,X_31))]]) ).

cnf(refute_0_209,plain,
    ( join(join(X_31,X_32),X_33) != join(X_31,join(X_32,X_33))
    | join(join(X_32,X_31),X_33) = join(X_31,join(X_32,X_33)) ),
    inference(resolve,[$cnf( $equal(join(X_31,X_32),join(X_32,X_31)) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    join(join(X_32,X_31),X_33) = join(X_31,join(X_32,X_33)),
    inference(resolve,[$cnf( $equal(join(join(X_31,X_32),X_33),join(X_31,join(X_32,X_33))) )],[refute_0_204,refute_0_209]) ).

cnf(refute_0_211,plain,
    join(join(X_32,X_31),X_33) = join(X_32,join(X_31,X_33)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_32)),bind(Y,$fot(X_31)),bind(Z,$fot(X_33))]]) ).

cnf(refute_0_212,plain,
    ( join(join(X_32,X_31),X_33) != join(X_31,join(X_32,X_33))
    | join(join(X_32,X_31),X_33) != join(X_32,join(X_31,X_33))
    | join(X_32,join(X_31,X_33)) = join(X_31,join(X_32,X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_32,X_31),X_33),join(X_31,join(X_32,X_33))) ),[0],$fot(join(X_32,join(X_31,X_33)))]]) ).

cnf(refute_0_213,plain,
    ( join(join(X_32,X_31),X_33) != join(X_31,join(X_32,X_33))
    | join(X_32,join(X_31,X_33)) = join(X_31,join(X_32,X_33)) ),
    inference(resolve,[$cnf( $equal(join(join(X_32,X_31),X_33),join(X_32,join(X_31,X_33))) )],[refute_0_211,refute_0_212]) ).

cnf(refute_0_214,plain,
    join(X_32,join(X_31,X_33)) = join(X_31,join(X_32,X_33)),
    inference(resolve,[$cnf( $equal(join(join(X_32,X_31),X_33),join(X_31,join(X_32,X_33))) )],[refute_0_210,refute_0_213]) ).

cnf(refute_0_215,plain,
    ( join(X_32,join(X_31,X_33)) != join(X_31,join(X_32,X_33))
    | join(X_31,join(X_32,X_33)) = join(X_32,join(X_31,X_33)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_32,join(X_31,X_33)))),bind(Y0,$fot(join(X_31,join(X_32,X_33))))]]) ).

cnf(refute_0_216,plain,
    join(X_31,join(X_32,X_33)) = join(X_32,join(X_31,X_33)),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_31,X_33)),join(X_31,join(X_32,X_33))) )],[refute_0_214,refute_0_215]) ).

cnf(refute_0_217,plain,
    join(join(X,Y),join(Y,X_41)) = join(Y,join(join(X,Y),X_41)),
    inference(subst,[],[refute_0_216:[bind(X_31,$fot(join(X,Y))),bind(X_32,$fot(Y)),bind(X_33,$fot(X_41))]]) ).

cnf(refute_0_218,plain,
    ( join(Y,join(join(X,Y),X_41)) != join(Y,join(X,join(Y,X_41)))
    | join(join(X,Y),join(Y,X_41)) != join(Y,join(join(X,Y),X_41))
    | join(join(X,Y),join(Y,X_41)) = join(Y,join(X,join(Y,X_41))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(join(X,Y),join(Y,X_41)))),bind(Y0,$fot(join(Y,join(join(X,Y),X_41)))),bind(Z0,$fot(join(Y,join(X,join(Y,X_41)))))]]) ).

cnf(refute_0_219,plain,
    ( join(Y,join(join(X,Y),X_41)) != join(Y,join(X,join(Y,X_41)))
    | join(join(X,Y),join(Y,X_41)) = join(Y,join(X,join(Y,X_41))) ),
    inference(resolve,[$cnf( $equal(join(join(X,Y),join(Y,X_41)),join(Y,join(join(X,Y),X_41))) )],[refute_0_217,refute_0_218]) ).

cnf(refute_0_220,plain,
    join(join(X,Y),join(Y,X_41)) = join(Y,join(X,join(Y,X_41))),
    inference(resolve,[$cnf( $equal(join(Y,join(join(X,Y),X_41)),join(Y,join(X,join(Y,X_41)))) )],[refute_0_203,refute_0_219]) ).

cnf(refute_0_221,plain,
    ( join(join(X,Y),join(Y,X_41)) != join(X,join(Y,X_41))
    | join(join(X,Y),join(Y,X_41)) != join(Y,join(X,join(Y,X_41)))
    | join(Y,join(X,join(Y,X_41))) = join(X,join(Y,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,Y),join(Y,X_41)),join(X,join(Y,X_41))) ),[0],$fot(join(Y,join(X,join(Y,X_41))))]]) ).

cnf(refute_0_222,plain,
    ( join(join(X,Y),join(Y,X_41)) != join(X,join(Y,X_41))
    | join(Y,join(X,join(Y,X_41))) = join(X,join(Y,X_41)) ),
    inference(resolve,[$cnf( $equal(join(join(X,Y),join(Y,X_41)),join(Y,join(X,join(Y,X_41)))) )],[refute_0_220,refute_0_221]) ).

cnf(refute_0_223,plain,
    join(Y,join(X,join(Y,X_41))) = join(X,join(Y,X_41)),
    inference(resolve,[$cnf( $equal(join(join(X,Y),join(Y,X_41)),join(X,join(Y,X_41))) )],[refute_0_198,refute_0_222]) ).

cnf(refute_0_224,plain,
    join(X_155,join(X_154,join(X_155,join(Y,X_155)))) = join(X_154,join(X_155,join(Y,X_155))),
    inference(subst,[],[refute_0_223:[bind(X,$fot(X_154)),bind(Y,$fot(X_155)),bind(X_41,$fot(join(Y,X_155)))]]) ).

cnf(refute_0_225,plain,
    join(X_155,join(Y,X_155)) = join(X_155,Y),
    inference(subst,[],[refute_0_11:[bind(X_28,$fot(X_155))]]) ).

cnf(refute_0_226,plain,
    ( join(X_155,join(Y,X_155)) != join(X_155,Y)
    | join(X_155,join(X_154,join(X_155,join(Y,X_155)))) != join(X_154,join(X_155,join(Y,X_155)))
    | join(X_155,join(X_154,join(X_155,join(Y,X_155)))) = join(X_154,join(X_155,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_155,join(X_154,join(X_155,join(Y,X_155)))),join(X_154,join(X_155,join(Y,X_155)))) ),[1,1],$fot(join(X_155,Y))]]) ).

cnf(refute_0_227,plain,
    ( join(X_155,join(X_154,join(X_155,join(Y,X_155)))) != join(X_154,join(X_155,join(Y,X_155)))
    | join(X_155,join(X_154,join(X_155,join(Y,X_155)))) = join(X_154,join(X_155,Y)) ),
    inference(resolve,[$cnf( $equal(join(X_155,join(Y,X_155)),join(X_155,Y)) )],[refute_0_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    join(X_155,join(X_154,join(X_155,join(Y,X_155)))) = join(X_154,join(X_155,Y)),
    inference(resolve,[$cnf( $equal(join(X_155,join(X_154,join(X_155,join(Y,X_155)))),join(X_154,join(X_155,join(Y,X_155)))) )],[refute_0_224,refute_0_227]) ).

cnf(refute_0_229,plain,
    ( join(X_32,X_33) != join(X_32,join(X_32,X_33))
    | join(X_32,join(X_32,X_33)) = join(X_32,X_33) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_32,X_33))),bind(Y0,$fot(join(X_32,join(X_32,X_33))))]]) ).

cnf(refute_0_230,plain,
    join(X_32,join(X_32,X_33)) = join(X_32,X_33),
    inference(resolve,[$cnf( $equal(join(X_32,X_33),join(X_32,join(X_32,X_33))) )],[refute_0_192,refute_0_229]) ).

cnf(refute_0_231,plain,
    join(X_155,join(X_155,X_154)) = join(X_155,X_154),
    inference(subst,[],[refute_0_230:[bind(X_32,$fot(X_155)),bind(X_33,$fot(X_154))]]) ).

cnf(refute_0_232,plain,
    join(Y,join(X_155,join(X_155,X_154))) = join(Y,join(X_155,join(X_155,X_154))),
    introduced(tautology,[refl,[$fot(join(Y,join(X_155,join(X_155,X_154))))]]) ).

cnf(refute_0_233,plain,
    ( join(Y,join(X_155,join(X_155,X_154))) != join(Y,join(X_155,join(X_155,X_154)))
    | join(X_155,join(X_155,X_154)) != join(X_155,X_154)
    | join(Y,join(X_155,join(X_155,X_154))) = join(Y,join(X_155,X_154)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(Y,join(X_155,join(X_155,X_154))),join(Y,join(X_155,join(X_155,X_154)))) ),[1,1],$fot(join(X_155,X_154))]]) ).

cnf(refute_0_234,plain,
    ( join(X_155,join(X_155,X_154)) != join(X_155,X_154)
    | join(Y,join(X_155,join(X_155,X_154))) = join(Y,join(X_155,X_154)) ),
    inference(resolve,[$cnf( $equal(join(Y,join(X_155,join(X_155,X_154))),join(Y,join(X_155,join(X_155,X_154)))) )],[refute_0_232,refute_0_233]) ).

cnf(refute_0_235,plain,
    join(Y,join(X_155,join(X_155,X_154))) = join(Y,join(X_155,X_154)),
    inference(resolve,[$cnf( $equal(join(X_155,join(X_155,X_154)),join(X_155,X_154)) )],[refute_0_231,refute_0_234]) ).

cnf(refute_0_236,plain,
    join(join(X,Y),join(X_154,join(Y,X_156))) = join(X,join(Y,join(X_154,join(Y,X_156)))),
    inference(subst,[],[associativity_of_join:[bind(Z,$fot(join(X_154,join(Y,X_156))))]]) ).

cnf(refute_0_237,plain,
    join(Y,join(X_154,join(Y,X_156))) = join(X_154,join(Y,X_156)),
    inference(subst,[],[refute_0_223:[bind(X,$fot(X_154)),bind(X_41,$fot(X_156))]]) ).

cnf(refute_0_238,plain,
    ( join(Y,join(X_154,join(Y,X_156))) != join(X_154,join(Y,X_156))
    | join(join(X,Y),join(X_154,join(Y,X_156))) != join(X,join(Y,join(X_154,join(Y,X_156))))
    | join(join(X,Y),join(X_154,join(Y,X_156))) = join(X,join(X_154,join(Y,X_156))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,Y),join(X_154,join(Y,X_156))),join(X,join(Y,join(X_154,join(Y,X_156))))) ),[1,1],$fot(join(X_154,join(Y,X_156)))]]) ).

cnf(refute_0_239,plain,
    ( join(join(X,Y),join(X_154,join(Y,X_156))) != join(X,join(Y,join(X_154,join(Y,X_156))))
    | join(join(X,Y),join(X_154,join(Y,X_156))) = join(X,join(X_154,join(Y,X_156))) ),
    inference(resolve,[$cnf( $equal(join(Y,join(X_154,join(Y,X_156))),join(X_154,join(Y,X_156))) )],[refute_0_237,refute_0_238]) ).

cnf(refute_0_240,plain,
    join(join(X,Y),join(X_154,join(Y,X_156))) = join(X,join(X_154,join(Y,X_156))),
    inference(resolve,[$cnf( $equal(join(join(X,Y),join(X_154,join(Y,X_156))),join(X,join(Y,join(X_154,join(Y,X_156))))) )],[refute_0_236,refute_0_239]) ).

cnf(refute_0_241,plain,
    join(join(X_109,X_111),join(X_31,X_32)) = join(X_31,join(X_32,join(X_109,X_111))),
    inference(subst,[],[refute_0_167:[bind(X,$fot(join(X_109,X_111)))]]) ).

cnf(refute_0_242,plain,
    join(join(X_32,X_33),join(X_103,join(X_32,X_33))) = join(join(X_32,X_33),X_103),
    inference(subst,[],[refute_0_11:[bind(Y,$fot(X_103)),bind(X_28,$fot(join(X_32,X_33)))]]) ).

cnf(refute_0_243,plain,
    join(X_32,join(X_103,X_33)) = join(X_103,join(X_32,X_33)),
    inference(subst,[],[refute_0_214:[bind(X_31,$fot(X_103))]]) ).

cnf(refute_0_244,plain,
    ( join(X_32,join(X_103,X_33)) != join(X_103,join(X_32,X_33))
    | join(X_103,join(X_32,X_33)) = join(X_32,join(X_103,X_33)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_32,join(X_103,X_33)))),bind(Y0,$fot(join(X_103,join(X_32,X_33))))]]) ).

cnf(refute_0_245,plain,
    join(X_103,join(X_32,X_33)) = join(X_32,join(X_103,X_33)),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_103,X_33)),join(X_103,join(X_32,X_33))) )],[refute_0_243,refute_0_244]) ).

cnf(refute_0_246,plain,
    ( join(X_103,join(X_32,X_33)) != join(X_32,join(X_103,X_33))
    | join(join(X_32,X_33),join(X_103,join(X_32,X_33))) != join(join(X_32,X_33),X_103)
    | join(join(X_32,X_33),join(X_32,join(X_103,X_33))) = join(join(X_32,X_33),X_103) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_32,X_33),join(X_103,join(X_32,X_33))),join(join(X_32,X_33),X_103)) ),[0,1],$fot(join(X_32,join(X_103,X_33)))]]) ).

cnf(refute_0_247,plain,
    ( join(join(X_32,X_33),join(X_103,join(X_32,X_33))) != join(join(X_32,X_33),X_103)
    | join(join(X_32,X_33),join(X_32,join(X_103,X_33))) = join(join(X_32,X_33),X_103) ),
    inference(resolve,[$cnf( $equal(join(X_103,join(X_32,X_33)),join(X_32,join(X_103,X_33))) )],[refute_0_245,refute_0_246]) ).

cnf(refute_0_248,plain,
    join(join(X_32,X_33),join(X_32,join(X_103,X_33))) = join(join(X_32,X_33),X_103),
    inference(resolve,[$cnf( $equal(join(join(X_32,X_33),join(X_103,join(X_32,X_33))),join(join(X_32,X_33),X_103)) )],[refute_0_242,refute_0_247]) ).

cnf(refute_0_249,plain,
    join(X_32,join(X_65,X_66)) = join(X_32,join(X_32,join(X_65,X_66))),
    inference(subst,[],[refute_0_192:[bind(X_33,$fot(join(X_65,X_66)))]]) ).

cnf(refute_0_250,plain,
    join(X_32,join(X_65,X_66)) = join(X_65,join(X_66,X_32)),
    inference(subst,[],[refute_0_167:[bind(X,$fot(X_32)),bind(X_31,$fot(X_65)),bind(X_32,$fot(X_66))]]) ).

cnf(refute_0_251,plain,
    ( join(X_32,join(X_65,X_66)) != join(X_32,join(X_32,join(X_65,X_66)))
    | join(X_32,join(X_65,X_66)) != join(X_65,join(X_66,X_32))
    | join(X_32,join(X_65,X_66)) = join(X_32,join(X_65,join(X_66,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,join(X_65,X_66)),join(X_32,join(X_32,join(X_65,X_66)))) ),[1,1],$fot(join(X_65,join(X_66,X_32)))]]) ).

cnf(refute_0_252,plain,
    ( join(X_32,join(X_65,X_66)) != join(X_32,join(X_32,join(X_65,X_66)))
    | join(X_32,join(X_65,X_66)) = join(X_32,join(X_65,join(X_66,X_32))) ),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_65,X_66)),join(X_65,join(X_66,X_32))) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    join(X_32,join(X_65,X_66)) = join(X_32,join(X_65,join(X_66,X_32))),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_65,X_66)),join(X_32,join(X_32,join(X_65,X_66)))) )],[refute_0_249,refute_0_252]) ).

cnf(refute_0_254,plain,
    ( join(X_32,join(X_65,X_66)) != join(X_32,join(X_65,join(X_66,X_32)))
    | join(X_32,join(X_65,join(X_66,X_32))) = join(X_32,join(X_65,X_66)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_32,join(X_65,X_66)))),bind(Y0,$fot(join(X_32,join(X_65,join(X_66,X_32)))))]]) ).

cnf(refute_0_255,plain,
    join(X_32,join(X_65,join(X_66,X_32))) = join(X_32,join(X_65,X_66)),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_65,X_66)),join(X_32,join(X_65,join(X_66,X_32)))) )],[refute_0_253,refute_0_254]) ).

cnf(refute_0_256,plain,
    join(X_32,join(X_103,join(X_33,X_32))) = join(X_32,join(X_103,X_33)),
    inference(subst,[],[refute_0_255:[bind(X_65,$fot(X_103)),bind(X_66,$fot(X_33))]]) ).

cnf(refute_0_257,plain,
    join(X_33,join(X_32,X_33)) = join(X_33,X_32),
    inference(subst,[],[refute_0_11:[bind(Y,$fot(X_32)),bind(X_28,$fot(X_33))]]) ).

cnf(refute_0_258,plain,
    join(X_103,join(X_33,join(X_32,X_33))) = join(X_103,join(X_33,join(X_32,X_33))),
    introduced(tautology,[refl,[$fot(join(X_103,join(X_33,join(X_32,X_33))))]]) ).

cnf(refute_0_259,plain,
    ( join(X_103,join(X_33,join(X_32,X_33))) != join(X_103,join(X_33,join(X_32,X_33)))
    | join(X_33,join(X_32,X_33)) != join(X_33,X_32)
    | join(X_103,join(X_33,join(X_32,X_33))) = join(X_103,join(X_33,X_32)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_103,join(X_33,join(X_32,X_33))),join(X_103,join(X_33,join(X_32,X_33)))) ),[1,1],$fot(join(X_33,X_32))]]) ).

cnf(refute_0_260,plain,
    ( join(X_33,join(X_32,X_33)) != join(X_33,X_32)
    | join(X_103,join(X_33,join(X_32,X_33))) = join(X_103,join(X_33,X_32)) ),
    inference(resolve,[$cnf( $equal(join(X_103,join(X_33,join(X_32,X_33))),join(X_103,join(X_33,join(X_32,X_33)))) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    join(X_103,join(X_33,join(X_32,X_33))) = join(X_103,join(X_33,X_32)),
    inference(resolve,[$cnf( $equal(join(X_33,join(X_32,X_33)),join(X_33,X_32)) )],[refute_0_257,refute_0_260]) ).

cnf(refute_0_262,plain,
    join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) = join(X_32,join(X_103,join(X_33,join(X_32,X_33)))),
    introduced(tautology,[refl,[$fot(join(X_32,join(X_103,join(X_33,join(X_32,X_33)))))]]) ).

cnf(refute_0_263,plain,
    ( join(X_103,join(X_33,join(X_32,X_33))) != join(X_103,join(X_33,X_32))
    | join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) != join(X_32,join(X_103,join(X_33,join(X_32,X_33))))
    | join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) = join(X_32,join(X_103,join(X_33,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,join(X_103,join(X_33,join(X_32,X_33)))),join(X_32,join(X_103,join(X_33,join(X_32,X_33))))) ),[1,1],$fot(join(X_103,join(X_33,X_32)))]]) ).

cnf(refute_0_264,plain,
    ( join(X_103,join(X_33,join(X_32,X_33))) != join(X_103,join(X_33,X_32))
    | join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) = join(X_32,join(X_103,join(X_33,X_32))) ),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_103,join(X_33,join(X_32,X_33)))),join(X_32,join(X_103,join(X_33,join(X_32,X_33))))) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) = join(X_32,join(X_103,join(X_33,X_32))),
    inference(resolve,[$cnf( $equal(join(X_103,join(X_33,join(X_32,X_33))),join(X_103,join(X_33,X_32))) )],[refute_0_261,refute_0_264]) ).

cnf(refute_0_266,plain,
    ( join(X_32,join(X_103,join(X_33,X_32))) != join(X_32,join(X_103,X_33))
    | join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) != join(X_32,join(X_103,join(X_33,X_32)))
    | join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) = join(X_32,join(X_103,X_33)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(X_32,join(X_103,join(X_33,join(X_32,X_33)))))),bind(Y0,$fot(join(X_32,join(X_103,join(X_33,X_32))))),bind(Z0,$fot(join(X_32,join(X_103,X_33))))]]) ).

cnf(refute_0_267,plain,
    ( join(X_32,join(X_103,join(X_33,X_32))) != join(X_32,join(X_103,X_33))
    | join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) = join(X_32,join(X_103,X_33)) ),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_103,join(X_33,join(X_32,X_33)))),join(X_32,join(X_103,join(X_33,X_32)))) )],[refute_0_265,refute_0_266]) ).

cnf(refute_0_268,plain,
    join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) = join(X_32,join(X_103,X_33)),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_103,join(X_33,X_32))),join(X_32,join(X_103,X_33))) )],[refute_0_256,refute_0_267]) ).

cnf(refute_0_269,plain,
    join(X_68,join(X_67,join(X_31,X_32))) = join(X_67,join(X_68,join(X_31,X_32))),
    inference(subst,[],[refute_0_214:[bind(X_31,$fot(X_67)),bind(X_32,$fot(X_68)),bind(X_33,$fot(join(X_31,X_32)))]]) ).

cnf(refute_0_270,plain,
    join(X_67,join(X_31,X_32)) = join(X_31,join(X_32,X_67)),
    inference(subst,[],[refute_0_167:[bind(X,$fot(X_67))]]) ).

cnf(refute_0_271,plain,
    ( join(X_67,join(X_31,X_32)) != join(X_31,join(X_32,X_67))
    | join(X_68,join(X_67,join(X_31,X_32))) != join(X_67,join(X_68,join(X_31,X_32)))
    | join(X_68,join(X_31,join(X_32,X_67))) = join(X_67,join(X_68,join(X_31,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_68,join(X_67,join(X_31,X_32))),join(X_67,join(X_68,join(X_31,X_32)))) ),[0,1],$fot(join(X_31,join(X_32,X_67)))]]) ).

cnf(refute_0_272,plain,
    ( join(X_68,join(X_67,join(X_31,X_32))) != join(X_67,join(X_68,join(X_31,X_32)))
    | join(X_68,join(X_31,join(X_32,X_67))) = join(X_67,join(X_68,join(X_31,X_32))) ),
    inference(resolve,[$cnf( $equal(join(X_67,join(X_31,X_32)),join(X_31,join(X_32,X_67))) )],[refute_0_270,refute_0_271]) ).

cnf(refute_0_273,plain,
    join(X_68,join(X_31,join(X_32,X_67))) = join(X_67,join(X_68,join(X_31,X_32))),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_67,join(X_31,X_32))),join(X_67,join(X_68,join(X_31,X_32)))) )],[refute_0_269,refute_0_272]) ).

cnf(refute_0_274,plain,
    ( join(X_68,join(X_31,join(X_32,X_67))) != join(X_67,join(X_68,join(X_31,X_32)))
    | join(X_67,join(X_68,join(X_31,X_32))) = join(X_68,join(X_31,join(X_32,X_67))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_68,join(X_31,join(X_32,X_67))))),bind(Y0,$fot(join(X_67,join(X_68,join(X_31,X_32)))))]]) ).

cnf(refute_0_275,plain,
    join(X_67,join(X_68,join(X_31,X_32))) = join(X_68,join(X_31,join(X_32,X_67))),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_31,join(X_32,X_67))),join(X_67,join(X_68,join(X_31,X_32)))) )],[refute_0_273,refute_0_274]) ).

cnf(refute_0_276,plain,
    join(join(X_32,X_33),join(X_32,join(X_103,X_33))) = join(X_32,join(X_103,join(X_33,join(X_32,X_33)))),
    inference(subst,[],[refute_0_275:[bind(X_31,$fot(X_103)),bind(X_32,$fot(X_33)),bind(X_67,$fot(join(X_32,X_33))),bind(X_68,$fot(X_32))]]) ).

cnf(refute_0_277,plain,
    ( join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) != join(X_32,join(X_103,X_33))
    | join(join(X_32,X_33),join(X_32,join(X_103,X_33))) != join(X_32,join(X_103,join(X_33,join(X_32,X_33))))
    | join(join(X_32,X_33),join(X_32,join(X_103,X_33))) = join(X_32,join(X_103,X_33)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(join(X_32,X_33),join(X_32,join(X_103,X_33))))),bind(Y0,$fot(join(X_32,join(X_103,join(X_33,join(X_32,X_33)))))),bind(Z0,$fot(join(X_32,join(X_103,X_33))))]]) ).

cnf(refute_0_278,plain,
    ( join(X_32,join(X_103,join(X_33,join(X_32,X_33)))) != join(X_32,join(X_103,X_33))
    | join(join(X_32,X_33),join(X_32,join(X_103,X_33))) = join(X_32,join(X_103,X_33)) ),
    inference(resolve,[$cnf( $equal(join(join(X_32,X_33),join(X_32,join(X_103,X_33))),join(X_32,join(X_103,join(X_33,join(X_32,X_33))))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    join(join(X_32,X_33),join(X_32,join(X_103,X_33))) = join(X_32,join(X_103,X_33)),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_103,join(X_33,join(X_32,X_33)))),join(X_32,join(X_103,X_33))) )],[refute_0_268,refute_0_278]) ).

cnf(refute_0_280,plain,
    ( join(join(X_32,X_33),join(X_32,join(X_103,X_33))) != join(X_32,join(X_103,X_33))
    | join(join(X_32,X_33),join(X_32,join(X_103,X_33))) != join(join(X_32,X_33),X_103)
    | join(X_32,join(X_103,X_33)) = join(join(X_32,X_33),X_103) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_32,X_33),join(X_32,join(X_103,X_33))),join(join(X_32,X_33),X_103)) ),[0],$fot(join(X_32,join(X_103,X_33)))]]) ).

cnf(refute_0_281,plain,
    ( join(join(X_32,X_33),join(X_32,join(X_103,X_33))) != join(join(X_32,X_33),X_103)
    | join(X_32,join(X_103,X_33)) = join(join(X_32,X_33),X_103) ),
    inference(resolve,[$cnf( $equal(join(join(X_32,X_33),join(X_32,join(X_103,X_33))),join(X_32,join(X_103,X_33))) )],[refute_0_279,refute_0_280]) ).

cnf(refute_0_282,plain,
    join(join(X_32,X_33),X_103) = join(X_32,join(X_33,X_103)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_32)),bind(Y,$fot(X_33)),bind(Z,$fot(X_103))]]) ).

cnf(refute_0_283,plain,
    ( join(X_32,join(X_103,X_33)) != join(join(X_32,X_33),X_103)
    | join(join(X_32,X_33),X_103) != join(X_32,join(X_33,X_103))
    | join(X_32,join(X_103,X_33)) = join(X_32,join(X_33,X_103)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_32,join(X_103,X_33)),join(X_32,join(X_33,X_103))) ),[0],$fot(join(join(X_32,X_33),X_103))]]) ).

cnf(refute_0_284,plain,
    ( join(X_32,join(X_103,X_33)) != join(join(X_32,X_33),X_103)
    | join(X_32,join(X_103,X_33)) = join(X_32,join(X_33,X_103)) ),
    inference(resolve,[$cnf( $equal(join(join(X_32,X_33),X_103),join(X_32,join(X_33,X_103))) )],[refute_0_282,refute_0_283]) ).

cnf(refute_0_285,plain,
    ( join(join(X_32,X_33),join(X_32,join(X_103,X_33))) != join(join(X_32,X_33),X_103)
    | join(X_32,join(X_103,X_33)) = join(X_32,join(X_33,X_103)) ),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_103,X_33)),join(join(X_32,X_33),X_103)) )],[refute_0_281,refute_0_284]) ).

cnf(refute_0_286,plain,
    join(X_32,join(X_103,X_33)) = join(X_32,join(X_33,X_103)),
    inference(resolve,[$cnf( $equal(join(join(X_32,X_33),join(X_32,join(X_103,X_33))),join(join(X_32,X_33),X_103)) )],[refute_0_248,refute_0_285]) ).

cnf(refute_0_287,plain,
    join(X_32,join(X_109,X_111)) = join(X_32,join(X_111,X_109)),
    inference(subst,[],[refute_0_286:[bind(X_103,$fot(X_109)),bind(X_33,$fot(X_111))]]) ).

cnf(refute_0_288,plain,
    ( join(X_32,join(X_109,X_111)) != join(X_32,join(X_111,X_109))
    | join(join(X_109,X_111),join(X_31,X_32)) != join(X_31,join(X_32,join(X_109,X_111)))
    | join(join(X_109,X_111),join(X_31,X_32)) = join(X_31,join(X_32,join(X_111,X_109))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_109,X_111),join(X_31,X_32)),join(X_31,join(X_32,join(X_109,X_111)))) ),[1,1],$fot(join(X_32,join(X_111,X_109)))]]) ).

cnf(refute_0_289,plain,
    ( join(join(X_109,X_111),join(X_31,X_32)) != join(X_31,join(X_32,join(X_109,X_111)))
    | join(join(X_109,X_111),join(X_31,X_32)) = join(X_31,join(X_32,join(X_111,X_109))) ),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_109,X_111)),join(X_32,join(X_111,X_109))) )],[refute_0_287,refute_0_288]) ).

cnf(refute_0_290,plain,
    join(join(X_109,X_111),join(X_31,X_32)) = join(X_31,join(X_32,join(X_111,X_109))),
    inference(resolve,[$cnf( $equal(join(join(X_109,X_111),join(X_31,X_32)),join(X_31,join(X_32,join(X_109,X_111)))) )],[refute_0_241,refute_0_289]) ).

cnf(refute_0_291,plain,
    join(join(X_109,X_111),join(X_31,X_32)) = join(X_109,join(X_111,join(X_31,X_32))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_109)),bind(Y,$fot(X_111)),bind(Z,$fot(join(X_31,X_32)))]]) ).

cnf(refute_0_292,plain,
    ( join(join(X_109,X_111),join(X_31,X_32)) != join(X_109,join(X_111,join(X_31,X_32)))
    | join(join(X_109,X_111),join(X_31,X_32)) != join(X_31,join(X_32,join(X_111,X_109)))
    | join(X_109,join(X_111,join(X_31,X_32))) = join(X_31,join(X_32,join(X_111,X_109))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_109,X_111),join(X_31,X_32)),join(X_31,join(X_32,join(X_111,X_109)))) ),[0],$fot(join(X_109,join(X_111,join(X_31,X_32))))]]) ).

cnf(refute_0_293,plain,
    ( join(join(X_109,X_111),join(X_31,X_32)) != join(X_31,join(X_32,join(X_111,X_109)))
    | join(X_109,join(X_111,join(X_31,X_32))) = join(X_31,join(X_32,join(X_111,X_109))) ),
    inference(resolve,[$cnf( $equal(join(join(X_109,X_111),join(X_31,X_32)),join(X_109,join(X_111,join(X_31,X_32)))) )],[refute_0_291,refute_0_292]) ).

cnf(refute_0_294,plain,
    join(X_109,join(X_111,join(X_31,X_32))) = join(X_31,join(X_32,join(X_111,X_109))),
    inference(resolve,[$cnf( $equal(join(join(X_109,X_111),join(X_31,X_32)),join(X_31,join(X_32,join(X_111,X_109)))) )],[refute_0_290,refute_0_293]) ).

cnf(refute_0_295,plain,
    join(join(X,Y),join(X_154,join(Y,X_156))) = join(Y,join(X_156,join(X_154,join(X,Y)))),
    inference(subst,[],[refute_0_294:[bind(X_109,$fot(join(X,Y))),bind(X_111,$fot(X_154)),bind(X_31,$fot(Y)),bind(X_32,$fot(X_156))]]) ).

cnf(refute_0_296,plain,
    ( join(join(X,Y),join(X_154,join(Y,X_156))) != join(X,join(X_154,join(Y,X_156)))
    | join(join(X,Y),join(X_154,join(Y,X_156))) != join(Y,join(X_156,join(X_154,join(X,Y))))
    | join(Y,join(X_156,join(X_154,join(X,Y)))) = join(X,join(X_154,join(Y,X_156))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,Y),join(X_154,join(Y,X_156))),join(X,join(X_154,join(Y,X_156)))) ),[0],$fot(join(Y,join(X_156,join(X_154,join(X,Y)))))]]) ).

cnf(refute_0_297,plain,
    ( join(join(X,Y),join(X_154,join(Y,X_156))) != join(X,join(X_154,join(Y,X_156)))
    | join(Y,join(X_156,join(X_154,join(X,Y)))) = join(X,join(X_154,join(Y,X_156))) ),
    inference(resolve,[$cnf( $equal(join(join(X,Y),join(X_154,join(Y,X_156))),join(Y,join(X_156,join(X_154,join(X,Y))))) )],[refute_0_295,refute_0_296]) ).

cnf(refute_0_298,plain,
    join(Y,join(X_156,join(X_154,join(X,Y)))) = join(X,join(X_154,join(Y,X_156))),
    inference(resolve,[$cnf( $equal(join(join(X,Y),join(X_154,join(Y,X_156))),join(X,join(X_154,join(Y,X_156)))) )],[refute_0_240,refute_0_297]) ).

cnf(refute_0_299,plain,
    join(X_155,join(X_154,join(X_155,join(Y,X_155)))) = join(Y,join(X_155,join(X_155,X_154))),
    inference(subst,[],[refute_0_298:[bind(X,$fot(Y)),bind(Y,$fot(X_155)),bind(X_154,$fot(X_155)),bind(X_156,$fot(X_154))]]) ).

cnf(refute_0_300,plain,
    ( join(Y,join(X_155,join(X_155,X_154))) != join(Y,join(X_155,X_154))
    | join(X_155,join(X_154,join(X_155,join(Y,X_155)))) != join(Y,join(X_155,join(X_155,X_154)))
    | join(X_155,join(X_154,join(X_155,join(Y,X_155)))) = join(Y,join(X_155,X_154)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(X_155,join(X_154,join(X_155,join(Y,X_155)))))),bind(Y0,$fot(join(Y,join(X_155,join(X_155,X_154))))),bind(Z0,$fot(join(Y,join(X_155,X_154))))]]) ).

cnf(refute_0_301,plain,
    ( join(Y,join(X_155,join(X_155,X_154))) != join(Y,join(X_155,X_154))
    | join(X_155,join(X_154,join(X_155,join(Y,X_155)))) = join(Y,join(X_155,X_154)) ),
    inference(resolve,[$cnf( $equal(join(X_155,join(X_154,join(X_155,join(Y,X_155)))),join(Y,join(X_155,join(X_155,X_154)))) )],[refute_0_299,refute_0_300]) ).

cnf(refute_0_302,plain,
    join(X_155,join(X_154,join(X_155,join(Y,X_155)))) = join(Y,join(X_155,X_154)),
    inference(resolve,[$cnf( $equal(join(Y,join(X_155,join(X_155,X_154))),join(Y,join(X_155,X_154))) )],[refute_0_235,refute_0_301]) ).

cnf(refute_0_303,plain,
    ( join(X_155,join(X_154,join(X_155,join(Y,X_155)))) != join(Y,join(X_155,X_154))
    | join(X_155,join(X_154,join(X_155,join(Y,X_155)))) != join(X_154,join(X_155,Y))
    | join(Y,join(X_155,X_154)) = join(X_154,join(X_155,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_155,join(X_154,join(X_155,join(Y,X_155)))),join(X_154,join(X_155,Y))) ),[0],$fot(join(Y,join(X_155,X_154)))]]) ).

cnf(refute_0_304,plain,
    ( join(X_155,join(X_154,join(X_155,join(Y,X_155)))) != join(X_154,join(X_155,Y))
    | join(Y,join(X_155,X_154)) = join(X_154,join(X_155,Y)) ),
    inference(resolve,[$cnf( $equal(join(X_155,join(X_154,join(X_155,join(Y,X_155)))),join(Y,join(X_155,X_154))) )],[refute_0_302,refute_0_303]) ).

cnf(refute_0_305,plain,
    join(Y,join(X_155,X_154)) = join(X_154,join(X_155,Y)),
    inference(resolve,[$cnf( $equal(join(X_155,join(X_154,join(X_155,join(Y,X_155)))),join(X_154,join(X_155,Y))) )],[refute_0_228,refute_0_304]) ).

cnf(refute_0_306,plain,
    ( join(Y,join(X_155,X_154)) != join(X_154,join(X_155,Y))
    | join(X_154,join(X_155,Y)) = join(Y,join(X_155,X_154)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(Y,join(X_155,X_154)))),bind(Y0,$fot(join(X_154,join(X_155,Y))))]]) ).

cnf(refute_0_307,plain,
    join(X_154,join(X_155,Y)) = join(Y,join(X_155,X_154)),
    inference(resolve,[$cnf( $equal(join(Y,join(X_155,X_154)),join(X_154,join(X_155,Y))) )],[refute_0_305,refute_0_306]) ).

cnf(refute_0_308,plain,
    join(meet(b,X_158),join(meet(b,complement(a)),X_158)) = join(X_158,join(meet(b,complement(a)),meet(b,X_158))),
    inference(subst,[],[refute_0_307:[bind(Y,$fot(X_158)),bind(X_154,$fot(meet(b,X_158))),bind(X_155,$fot(meet(b,complement(a))))]]) ).

cnf(refute_0_309,plain,
    ( join(X_158,join(meet(b,complement(a)),meet(b,X_158))) != join(meet(b,complement(a)),X_158)
    | join(meet(b,X_158),join(meet(b,complement(a)),X_158)) != join(X_158,join(meet(b,complement(a)),meet(b,X_158)))
    | join(meet(b,X_158),join(meet(b,complement(a)),X_158)) = join(meet(b,complement(a)),X_158) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,X_158),join(meet(b,complement(a)),X_158)))),bind(Y0,$fot(join(X_158,join(meet(b,complement(a)),meet(b,X_158))))),bind(Z0,$fot(join(meet(b,complement(a)),X_158)))]]) ).

cnf(refute_0_310,plain,
    ( join(X_158,join(meet(b,complement(a)),meet(b,X_158))) != join(meet(b,complement(a)),X_158)
    | join(meet(b,X_158),join(meet(b,complement(a)),X_158)) = join(meet(b,complement(a)),X_158) ),
    inference(resolve,[$cnf( $equal(join(meet(b,X_158),join(meet(b,complement(a)),X_158)),join(X_158,join(meet(b,complement(a)),meet(b,X_158)))) )],[refute_0_308,refute_0_309]) ).

cnf(refute_0_311,plain,
    join(meet(b,X_158),join(meet(b,complement(a)),X_158)) = join(meet(b,complement(a)),X_158),
    inference(resolve,[$cnf( $equal(join(X_158,join(meet(b,complement(a)),meet(b,X_158))),join(meet(b,complement(a)),X_158)) )],[refute_0_186,refute_0_310]) ).

cnf(refute_0_312,plain,
    meet(X_158,one) = X_158,
    inference(subst,[],[refute_0_141:[bind(X_9,$fot(X_158))]]) ).

cnf(refute_0_313,plain,
    join(meet(b,complement(a)),meet(X_158,one)) = join(meet(b,complement(a)),meet(X_158,one)),
    introduced(tautology,[refl,[$fot(join(meet(b,complement(a)),meet(X_158,one)))]]) ).

cnf(refute_0_314,plain,
    ( join(meet(b,complement(a)),meet(X_158,one)) != join(meet(b,complement(a)),meet(X_158,one))
    | meet(X_158,one) != X_158
    | join(meet(b,complement(a)),meet(X_158,one)) = join(meet(b,complement(a)),X_158) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(a)),meet(X_158,one)),join(meet(b,complement(a)),meet(X_158,one))) ),[1,1],$fot(X_158)]]) ).

cnf(refute_0_315,plain,
    ( meet(X_158,one) != X_158
    | join(meet(b,complement(a)),meet(X_158,one)) = join(meet(b,complement(a)),X_158) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),meet(X_158,one)),join(meet(b,complement(a)),meet(X_158,one))) )],[refute_0_313,refute_0_314]) ).

cnf(refute_0_316,plain,
    join(meet(b,complement(a)),meet(X_158,one)) = join(meet(b,complement(a)),X_158),
    inference(resolve,[$cnf( $equal(meet(X_158,one),X_158) )],[refute_0_312,refute_0_315]) ).

cnf(refute_0_317,plain,
    join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) = join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))),
    introduced(tautology,[refl,[$fot(join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))))]]) ).

cnf(refute_0_318,plain,
    ( join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) != join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))
    | join(meet(b,complement(a)),meet(X_158,one)) != join(meet(b,complement(a)),X_158)
    | join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) = join(meet(b,X_158),join(meet(b,complement(a)),X_158)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))),join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))) ),[1,1],$fot(join(meet(b,complement(a)),X_158))]]) ).

cnf(refute_0_319,plain,
    ( join(meet(b,complement(a)),meet(X_158,one)) != join(meet(b,complement(a)),X_158)
    | join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) = join(meet(b,X_158),join(meet(b,complement(a)),X_158)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))),join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))) )],[refute_0_317,refute_0_318]) ).

cnf(refute_0_320,plain,
    join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) = join(meet(b,X_158),join(meet(b,complement(a)),X_158)),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),meet(X_158,one)),join(meet(b,complement(a)),X_158)) )],[refute_0_316,refute_0_319]) ).

cnf(refute_0_321,plain,
    ( join(meet(b,X_158),join(meet(b,complement(a)),X_158)) != join(meet(b,complement(a)),X_158)
    | join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) != join(meet(b,X_158),join(meet(b,complement(a)),X_158))
    | join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) = join(meet(b,complement(a)),X_158) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))))),bind(Y0,$fot(join(meet(b,X_158),join(meet(b,complement(a)),X_158)))),bind(Z0,$fot(join(meet(b,complement(a)),X_158)))]]) ).

cnf(refute_0_322,plain,
    ( join(meet(b,X_158),join(meet(b,complement(a)),X_158)) != join(meet(b,complement(a)),X_158)
    | join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) = join(meet(b,complement(a)),X_158) ),
    inference(resolve,[$cnf( $equal(join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))),join(meet(b,X_158),join(meet(b,complement(a)),X_158))) )],[refute_0_320,refute_0_321]) ).

cnf(refute_0_323,plain,
    join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) = join(meet(b,complement(a)),X_158),
    inference(resolve,[$cnf( $equal(join(meet(b,X_158),join(meet(b,complement(a)),X_158)),join(meet(b,complement(a)),X_158)) )],[refute_0_311,refute_0_322]) ).

cnf(refute_0_324,plain,
    meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))) = meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))),
    introduced(tautology,[refl,[$fot(meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))))]]) ).

cnf(refute_0_325,plain,
    ( join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) != join(meet(b,complement(a)),X_158)
    | meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))) != meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))))
    | meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))) = meet(b,join(meet(b,complement(a)),X_158)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))),meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))))) ),[1,1],$fot(join(meet(b,complement(a)),X_158))]]) ).

cnf(refute_0_326,plain,
    ( join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))) != join(meet(b,complement(a)),X_158)
    | meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))) = meet(b,join(meet(b,complement(a)),X_158)) ),
    inference(resolve,[$cnf( $equal(meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))),meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))))) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))) = meet(b,join(meet(b,complement(a)),X_158)),
    inference(resolve,[$cnf( $equal(join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))),join(meet(b,complement(a)),X_158)) )],[refute_0_323,refute_0_326]) ).

cnf(refute_0_328,plain,
    ( join(meet(b,X_158),meet(b,complement(a))) != meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))))
    | meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))) != meet(b,join(meet(b,complement(a)),X_158))
    | join(meet(b,X_158),meet(b,complement(a))) = meet(b,join(meet(b,complement(a)),X_158)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(b,X_158),meet(b,complement(a))),meet(b,join(meet(b,complement(a)),X_158))) ),[0],$fot(meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))))]]) ).

cnf(refute_0_329,plain,
    ( join(meet(b,X_158),meet(b,complement(a))) != meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))))
    | join(meet(b,X_158),meet(b,complement(a))) = meet(b,join(meet(b,complement(a)),X_158)) ),
    inference(resolve,[$cnf( $equal(meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one)))),meet(b,join(meet(b,complement(a)),X_158))) )],[refute_0_327,refute_0_328]) ).

cnf(refute_0_330,plain,
    join(meet(b,X_158),meet(b,complement(a))) = meet(b,join(meet(b,complement(a)),X_158)),
    inference(resolve,[$cnf( $equal(join(meet(b,X_158),meet(b,complement(a))),meet(b,join(meet(b,X_158),join(meet(b,complement(a)),meet(X_158,one))))) )],[refute_0_162,refute_0_329]) ).

cnf(refute_0_331,plain,
    join(meet(b,X_163),meet(b,complement(a))) = meet(b,join(meet(b,complement(a)),X_163)),
    inference(subst,[],[refute_0_330:[bind(X_158,$fot(X_163))]]) ).

cnf(refute_0_332,plain,
    ( join(meet(b,X_163),meet(b,complement(a))) != meet(b,join(meet(b,complement(a)),X_163))
    | meet(b,join(meet(b,complement(a)),X_163)) = join(meet(b,X_163),meet(b,complement(a))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(b,X_163),meet(b,complement(a))))),bind(Y0,$fot(meet(b,join(meet(b,complement(a)),X_163))))]]) ).

cnf(refute_0_333,plain,
    meet(b,join(meet(b,complement(a)),X_163)) = join(meet(b,X_163),meet(b,complement(a))),
    inference(resolve,[$cnf( $equal(join(meet(b,X_163),meet(b,complement(a))),meet(b,join(meet(b,complement(a)),X_163))) )],[refute_0_331,refute_0_332]) ).

cnf(refute_0_334,plain,
    ( meet(b,join(meet(b,complement(a)),X_163)) != join(meet(b,X_163),meet(b,complement(a)))
    | meet(join(meet(b,complement(a)),X_163),meet(b,complement(meet(b,join(meet(b,complement(a)),X_163))))) != zero
    | meet(join(meet(b,complement(a)),X_163),meet(b,complement(join(meet(b,X_163),meet(b,complement(a)))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(b,complement(a)),X_163),meet(b,complement(meet(b,join(meet(b,complement(a)),X_163))))),zero) ),[0,1,1,0],$fot(join(meet(b,X_163),meet(b,complement(a))))]]) ).

cnf(refute_0_335,plain,
    ( meet(join(meet(b,complement(a)),X_163),meet(b,complement(meet(b,join(meet(b,complement(a)),X_163))))) != zero
    | meet(join(meet(b,complement(a)),X_163),meet(b,complement(join(meet(b,X_163),meet(b,complement(a)))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,join(meet(b,complement(a)),X_163)),join(meet(b,X_163),meet(b,complement(a)))) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    meet(join(meet(b,complement(a)),X_163),meet(b,complement(join(meet(b,X_163),meet(b,complement(a)))))) = zero,
    inference(resolve,[$cnf( $equal(meet(join(meet(b,complement(a)),X_163),meet(b,complement(meet(b,join(meet(b,complement(a)),X_163))))),zero) )],[refute_0_101,refute_0_335]) ).

cnf(refute_0_337,plain,
    meet(meet(X_75,X_15),meet(X_74,X_75)) = meet(X_74,meet(X_75,meet(X_75,X_15))),
    inference(subst,[],[refute_0_59:[bind(X,$fot(meet(X_75,X_15))),bind(X_43,$fot(X_74)),bind(X_44,$fot(X_75))]]) ).

cnf(refute_0_338,plain,
    meet(X_75,meet(X_75,X_15)) = meet(X_75,X_15),
    inference(subst,[],[refute_0_53:[bind(X_10,$fot(X_75))]]) ).

cnf(refute_0_339,plain,
    ( meet(X_75,meet(X_75,X_15)) != meet(X_75,X_15)
    | meet(meet(X_75,X_15),meet(X_74,X_75)) != meet(X_74,meet(X_75,meet(X_75,X_15)))
    | meet(meet(X_75,X_15),meet(X_74,X_75)) = meet(X_74,meet(X_75,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_75,X_15),meet(X_74,X_75)),meet(X_74,meet(X_75,meet(X_75,X_15)))) ),[1,1],$fot(meet(X_75,X_15))]]) ).

cnf(refute_0_340,plain,
    ( meet(meet(X_75,X_15),meet(X_74,X_75)) != meet(X_74,meet(X_75,meet(X_75,X_15)))
    | meet(meet(X_75,X_15),meet(X_74,X_75)) = meet(X_74,meet(X_75,X_15)) ),
    inference(resolve,[$cnf( $equal(meet(X_75,meet(X_75,X_15)),meet(X_75,X_15)) )],[refute_0_338,refute_0_339]) ).

cnf(refute_0_341,plain,
    meet(meet(X_75,X_15),meet(X_74,X_75)) = meet(X_74,meet(X_75,X_15)),
    inference(resolve,[$cnf( $equal(meet(meet(X_75,X_15),meet(X_74,X_75)),meet(X_74,meet(X_75,meet(X_75,X_15)))) )],[refute_0_337,refute_0_340]) ).

cnf(refute_0_342,plain,
    meet(X_75,meet(X_74,meet(X_75,X_15))) = meet(X_75,meet(X_74,X_15)),
    inference(subst,[],[refute_0_84:[bind(X_15,$fot(X_74)),bind(X_43,$fot(X_75)),bind(X_45,$fot(X_15))]]) ).

cnf(refute_0_343,plain,
    meet(X_73,meet(X_74,X_75)) = meet(X_74,meet(X_75,X_73)),
    inference(subst,[],[refute_0_59:[bind(X,$fot(X_73)),bind(X_43,$fot(X_74)),bind(X_44,$fot(X_75))]]) ).

cnf(refute_0_344,plain,
    meet(X_75,X_74) = meet(X_74,X_75),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_75)),bind(Y,$fot(X_74))]]) ).

cnf(refute_0_345,plain,
    ( meet(X_75,X_74) != meet(X_74,X_75)
    | meet(X_74,X_75) = meet(X_75,X_74) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_75,X_74))),bind(Y0,$fot(meet(X_74,X_75)))]]) ).

cnf(refute_0_346,plain,
    meet(X_74,X_75) = meet(X_75,X_74),
    inference(resolve,[$cnf( $equal(meet(X_75,X_74),meet(X_74,X_75)) )],[refute_0_344,refute_0_345]) ).

cnf(refute_0_347,plain,
    ( meet(X_73,meet(X_74,X_75)) != meet(X_74,meet(X_75,X_73))
    | meet(X_74,X_75) != meet(X_75,X_74)
    | meet(X_73,meet(X_75,X_74)) = meet(X_74,meet(X_75,X_73)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_73,meet(X_74,X_75)),meet(X_74,meet(X_75,X_73))) ),[0,1],$fot(meet(X_75,X_74))]]) ).

cnf(refute_0_348,plain,
    ( meet(X_73,meet(X_74,X_75)) != meet(X_74,meet(X_75,X_73))
    | meet(X_73,meet(X_75,X_74)) = meet(X_74,meet(X_75,X_73)) ),
    inference(resolve,[$cnf( $equal(meet(X_74,X_75),meet(X_75,X_74)) )],[refute_0_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    meet(X_73,meet(X_75,X_74)) = meet(X_74,meet(X_75,X_73)),
    inference(resolve,[$cnf( $equal(meet(X_73,meet(X_74,X_75)),meet(X_74,meet(X_75,X_73))) )],[refute_0_343,refute_0_348]) ).

cnf(refute_0_350,plain,
    ( meet(X_73,meet(X_75,X_74)) != meet(X_74,meet(X_75,X_73))
    | meet(X_74,meet(X_75,X_73)) = meet(X_73,meet(X_75,X_74)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_73,meet(X_75,X_74)))),bind(Y0,$fot(meet(X_74,meet(X_75,X_73))))]]) ).

cnf(refute_0_351,plain,
    meet(X_74,meet(X_75,X_73)) = meet(X_73,meet(X_75,X_74)),
    inference(resolve,[$cnf( $equal(meet(X_73,meet(X_75,X_74)),meet(X_74,meet(X_75,X_73))) )],[refute_0_349,refute_0_350]) ).

cnf(refute_0_352,plain,
    meet(meet(X_75,X_15),meet(X_74,X_75)) = meet(X_75,meet(X_74,meet(X_75,X_15))),
    inference(subst,[],[refute_0_351:[bind(X_73,$fot(X_75)),bind(X_74,$fot(meet(X_75,X_15))),bind(X_75,$fot(X_74))]]) ).

cnf(refute_0_353,plain,
    ( meet(X_75,meet(X_74,meet(X_75,X_15))) != meet(X_75,meet(X_74,X_15))
    | meet(meet(X_75,X_15),meet(X_74,X_75)) != meet(X_75,meet(X_74,meet(X_75,X_15)))
    | meet(meet(X_75,X_15),meet(X_74,X_75)) = meet(X_75,meet(X_74,X_15)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_75,X_15),meet(X_74,X_75)))),bind(Y0,$fot(meet(X_75,meet(X_74,meet(X_75,X_15))))),bind(Z0,$fot(meet(X_75,meet(X_74,X_15))))]]) ).

cnf(refute_0_354,plain,
    ( meet(X_75,meet(X_74,meet(X_75,X_15))) != meet(X_75,meet(X_74,X_15))
    | meet(meet(X_75,X_15),meet(X_74,X_75)) = meet(X_75,meet(X_74,X_15)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_75,X_15),meet(X_74,X_75)),meet(X_75,meet(X_74,meet(X_75,X_15)))) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    meet(meet(X_75,X_15),meet(X_74,X_75)) = meet(X_75,meet(X_74,X_15)),
    inference(resolve,[$cnf( $equal(meet(X_75,meet(X_74,meet(X_75,X_15))),meet(X_75,meet(X_74,X_15))) )],[refute_0_342,refute_0_354]) ).

cnf(refute_0_356,plain,
    ( meet(meet(X_75,X_15),meet(X_74,X_75)) != meet(X_74,meet(X_75,X_15))
    | meet(meet(X_75,X_15),meet(X_74,X_75)) != meet(X_75,meet(X_74,X_15))
    | meet(X_75,meet(X_74,X_15)) = meet(X_74,meet(X_75,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_75,X_15),meet(X_74,X_75)),meet(X_74,meet(X_75,X_15))) ),[0],$fot(meet(X_75,meet(X_74,X_15)))]]) ).

cnf(refute_0_357,plain,
    ( meet(meet(X_75,X_15),meet(X_74,X_75)) != meet(X_74,meet(X_75,X_15))
    | meet(X_75,meet(X_74,X_15)) = meet(X_74,meet(X_75,X_15)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_75,X_15),meet(X_74,X_75)),meet(X_75,meet(X_74,X_15))) )],[refute_0_355,refute_0_356]) ).

cnf(refute_0_358,plain,
    meet(X_75,meet(X_74,X_15)) = meet(X_74,meet(X_75,X_15)),
    inference(resolve,[$cnf( $equal(meet(meet(X_75,X_15),meet(X_74,X_75)),meet(X_74,meet(X_75,X_15))) )],[refute_0_341,refute_0_357]) ).

cnf(refute_0_359,plain,
    ( meet(X_75,meet(X_74,X_15)) != meet(X_74,meet(X_75,X_15))
    | meet(X_74,meet(X_75,X_15)) = meet(X_75,meet(X_74,X_15)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_75,meet(X_74,X_15)))),bind(Y0,$fot(meet(X_74,meet(X_75,X_15))))]]) ).

cnf(refute_0_360,plain,
    meet(X_74,meet(X_75,X_15)) = meet(X_75,meet(X_74,X_15)),
    inference(resolve,[$cnf( $equal(meet(X_75,meet(X_74,X_15)),meet(X_74,meet(X_75,X_15))) )],[refute_0_358,refute_0_359]) ).

cnf(refute_0_361,plain,
    meet(join(meet(b,complement(a)),X_163),meet(b,complement(join(meet(b,X_163),meet(b,complement(a)))))) = meet(b,meet(join(meet(b,complement(a)),X_163),complement(join(meet(b,X_163),meet(b,complement(a)))))),
    inference(subst,[],[refute_0_360:[bind(X_15,$fot(complement(join(meet(b,X_163),meet(b,complement(a)))))),bind(X_74,$fot(join(meet(b,complement(a)),X_163))),bind(X_75,$fot(b))]]) ).

cnf(refute_0_362,plain,
    ( meet(join(meet(b,complement(a)),X_163),meet(b,complement(join(meet(b,X_163),meet(b,complement(a)))))) != meet(b,meet(join(meet(b,complement(a)),X_163),complement(join(meet(b,X_163),meet(b,complement(a))))))
    | meet(join(meet(b,complement(a)),X_163),meet(b,complement(join(meet(b,X_163),meet(b,complement(a)))))) != zero
    | meet(b,meet(join(meet(b,complement(a)),X_163),complement(join(meet(b,X_163),meet(b,complement(a)))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(b,complement(a)),X_163),meet(b,complement(join(meet(b,X_163),meet(b,complement(a)))))),zero) ),[0],$fot(meet(b,meet(join(meet(b,complement(a)),X_163),complement(join(meet(b,X_163),meet(b,complement(a)))))))]]) ).

cnf(refute_0_363,plain,
    ( meet(join(meet(b,complement(a)),X_163),meet(b,complement(join(meet(b,X_163),meet(b,complement(a)))))) != zero
    | meet(b,meet(join(meet(b,complement(a)),X_163),complement(join(meet(b,X_163),meet(b,complement(a)))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(join(meet(b,complement(a)),X_163),meet(b,complement(join(meet(b,X_163),meet(b,complement(a)))))),meet(b,meet(join(meet(b,complement(a)),X_163),complement(join(meet(b,X_163),meet(b,complement(a))))))) )],[refute_0_361,refute_0_362]) ).

cnf(refute_0_364,plain,
    meet(b,meet(join(meet(b,complement(a)),X_163),complement(join(meet(b,X_163),meet(b,complement(a)))))) = zero,
    inference(resolve,[$cnf( $equal(meet(join(meet(b,complement(a)),X_163),meet(b,complement(join(meet(b,X_163),meet(b,complement(a)))))),zero) )],[refute_0_336,refute_0_363]) ).

cnf(refute_0_365,plain,
    meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(meet(b,complement(b)),meet(b,complement(a)))))) = zero,
    inference(subst,[],[refute_0_364:[bind(X_163,$fot(complement(b)))]]) ).

cnf(refute_0_366,plain,
    meet(b,complement(b)) = zero,
    inference(subst,[],[complement_meet:[bind(X,$fot(b))]]) ).

cnf(refute_0_367,plain,
    ( meet(b,complement(b)) != zero
    | meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(meet(b,complement(b)),meet(b,complement(a)))))) != zero
    | meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(meet(b,complement(b)),meet(b,complement(a)))))),zero) ),[0,1,1,0,0],$fot(zero)]]) ).

cnf(refute_0_368,plain,
    ( meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(meet(b,complement(b)),meet(b,complement(a)))))) != zero
    | meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,complement(b)),zero) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) = zero,
    inference(resolve,[$cnf( $equal(meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(meet(b,complement(b)),meet(b,complement(a)))))),zero) )],[refute_0_365,refute_0_368]) ).

cnf(refute_0_370,plain,
    join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(meet(a,X_685),join(meet(X_685,b),X_684)))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(meet(a,X_685))),bind(Z,$fot(join(meet(X_685,b),X_684)))]]) ).

cnf(refute_0_371,plain,
    join(X,join(X_31,join(X_103,X_31))) = join(X_31,join(join(X_103,X_31),X)),
    inference(subst,[],[refute_0_167:[bind(X_32,$fot(join(X_103,X_31)))]]) ).

cnf(refute_0_372,plain,
    join(X_31,join(X_103,X_31)) = join(X_31,X_103),
    inference(subst,[],[refute_0_11:[bind(Y,$fot(X_103)),bind(X_28,$fot(X_31))]]) ).

cnf(refute_0_373,plain,
    ( join(X,join(X_31,join(X_103,X_31))) != join(X_31,join(join(X_103,X_31),X))
    | join(X_31,join(X_103,X_31)) != join(X_31,X_103)
    | join(X,join(X_31,X_103)) = join(X_31,join(join(X_103,X_31),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(X_31,join(X_103,X_31))),join(X_31,join(join(X_103,X_31),X))) ),[0,1],$fot(join(X_31,X_103))]]) ).

cnf(refute_0_374,plain,
    ( join(X,join(X_31,join(X_103,X_31))) != join(X_31,join(join(X_103,X_31),X))
    | join(X,join(X_31,X_103)) = join(X_31,join(join(X_103,X_31),X)) ),
    inference(resolve,[$cnf( $equal(join(X_31,join(X_103,X_31)),join(X_31,X_103)) )],[refute_0_372,refute_0_373]) ).

cnf(refute_0_375,plain,
    join(X,join(X_31,X_103)) = join(X_31,join(join(X_103,X_31),X)),
    inference(resolve,[$cnf( $equal(join(X,join(X_31,join(X_103,X_31))),join(X_31,join(join(X_103,X_31),X))) )],[refute_0_371,refute_0_374]) ).

cnf(refute_0_376,plain,
    join(X_31,join(X_103,join(X_31,X))) = join(X_103,join(X_31,X)),
    inference(subst,[],[refute_0_223:[bind(X,$fot(X_103)),bind(Y,$fot(X_31)),bind(X_41,$fot(X))]]) ).

cnf(refute_0_377,plain,
    join(join(X_103,X_31),X) = join(X_103,join(X_31,X)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_103)),bind(Y,$fot(X_31)),bind(Z,$fot(X))]]) ).

cnf(refute_0_378,plain,
    join(X_31,join(join(X_103,X_31),X)) = join(X_31,join(join(X_103,X_31),X)),
    introduced(tautology,[refl,[$fot(join(X_31,join(join(X_103,X_31),X)))]]) ).

cnf(refute_0_379,plain,
    ( join(X_31,join(join(X_103,X_31),X)) != join(X_31,join(join(X_103,X_31),X))
    | join(join(X_103,X_31),X) != join(X_103,join(X_31,X))
    | join(X_31,join(join(X_103,X_31),X)) = join(X_31,join(X_103,join(X_31,X))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_31,join(join(X_103,X_31),X)),join(X_31,join(join(X_103,X_31),X))) ),[1,1],$fot(join(X_103,join(X_31,X)))]]) ).

cnf(refute_0_380,plain,
    ( join(join(X_103,X_31),X) != join(X_103,join(X_31,X))
    | join(X_31,join(join(X_103,X_31),X)) = join(X_31,join(X_103,join(X_31,X))) ),
    inference(resolve,[$cnf( $equal(join(X_31,join(join(X_103,X_31),X)),join(X_31,join(join(X_103,X_31),X))) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    join(X_31,join(join(X_103,X_31),X)) = join(X_31,join(X_103,join(X_31,X))),
    inference(resolve,[$cnf( $equal(join(join(X_103,X_31),X),join(X_103,join(X_31,X))) )],[refute_0_377,refute_0_380]) ).

cnf(refute_0_382,plain,
    ( join(X_31,join(X_103,join(X_31,X))) != join(X_103,join(X_31,X))
    | join(X_31,join(join(X_103,X_31),X)) != join(X_31,join(X_103,join(X_31,X)))
    | join(X_31,join(join(X_103,X_31),X)) = join(X_103,join(X_31,X)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(X_31,join(join(X_103,X_31),X)))),bind(Y0,$fot(join(X_31,join(X_103,join(X_31,X))))),bind(Z0,$fot(join(X_103,join(X_31,X))))]]) ).

cnf(refute_0_383,plain,
    ( join(X_31,join(X_103,join(X_31,X))) != join(X_103,join(X_31,X))
    | join(X_31,join(join(X_103,X_31),X)) = join(X_103,join(X_31,X)) ),
    inference(resolve,[$cnf( $equal(join(X_31,join(join(X_103,X_31),X)),join(X_31,join(X_103,join(X_31,X)))) )],[refute_0_381,refute_0_382]) ).

cnf(refute_0_384,plain,
    join(X_31,join(join(X_103,X_31),X)) = join(X_103,join(X_31,X)),
    inference(resolve,[$cnf( $equal(join(X_31,join(X_103,join(X_31,X))),join(X_103,join(X_31,X))) )],[refute_0_376,refute_0_383]) ).

cnf(refute_0_385,plain,
    ( join(X,join(X_31,X_103)) != join(X_31,join(join(X_103,X_31),X))
    | join(X_31,join(join(X_103,X_31),X)) != join(X_103,join(X_31,X))
    | join(X,join(X_31,X_103)) = join(X_103,join(X_31,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X,join(X_31,X_103)),join(X_103,join(X_31,X))) ),[0],$fot(join(X_31,join(join(X_103,X_31),X)))]]) ).

cnf(refute_0_386,plain,
    ( join(X,join(X_31,X_103)) != join(X_31,join(join(X_103,X_31),X))
    | join(X,join(X_31,X_103)) = join(X_103,join(X_31,X)) ),
    inference(resolve,[$cnf( $equal(join(X_31,join(join(X_103,X_31),X)),join(X_103,join(X_31,X))) )],[refute_0_384,refute_0_385]) ).

cnf(refute_0_387,plain,
    join(X,join(X_31,X_103)) = join(X_103,join(X_31,X)),
    inference(resolve,[$cnf( $equal(join(X,join(X_31,X_103)),join(X_31,join(join(X_103,X_31),X))) )],[refute_0_375,refute_0_386]) ).

cnf(refute_0_388,plain,
    join(X_279,join(meet(X_59,b),meet(a,X_59))) = join(meet(a,X_59),join(meet(X_59,b),X_279)),
    inference(subst,[],[refute_0_387:[bind(X,$fot(X_279)),bind(X_103,$fot(meet(a,X_59))),bind(X_31,$fot(meet(X_59,b)))]]) ).

cnf(refute_0_389,plain,
    join(meet(X_59,b),meet(a,meet(X_59,b))) = meet(X_59,b),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_59,b))),bind(Y,$fot(a))]]) ).

cnf(refute_0_390,plain,
    meet(meet(b,X_48),meet(a,meet(b,X_48))) = meet(meet(b,X_48),a),
    inference(subst,[],[refute_0_49:[bind(X_10,$fot(meet(b,X_48))),bind(X_15,$fot(a))]]) ).

cnf(refute_0_391,plain,
    meet(meet(a,b),X_45) = meet(a,meet(b,X_45)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_392,plain,
    ( meet(a,b) != a
    | meet(meet(a,b),X_45) != meet(a,meet(b,X_45))
    | meet(a,X_45) = meet(a,meet(b,X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(a,b),X_45),meet(a,meet(b,X_45))) ),[0,0],$fot(a)]]) ).

cnf(refute_0_393,plain,
    ( meet(meet(a,b),X_45) != meet(a,meet(b,X_45))
    | meet(a,X_45) = meet(a,meet(b,X_45)) ),
    inference(resolve,[$cnf( $equal(meet(a,b),a) )],[refute_0_110,refute_0_392]) ).

cnf(refute_0_394,plain,
    meet(a,X_45) = meet(a,meet(b,X_45)),
    inference(resolve,[$cnf( $equal(meet(meet(a,b),X_45),meet(a,meet(b,X_45))) )],[refute_0_391,refute_0_393]) ).

cnf(refute_0_395,plain,
    meet(a,X_48) = meet(a,meet(b,X_48)),
    inference(subst,[],[refute_0_394:[bind(X_45,$fot(X_48))]]) ).

cnf(refute_0_396,plain,
    ( meet(a,X_48) != meet(a,meet(b,X_48))
    | meet(a,meet(b,X_48)) = meet(a,X_48) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(a,X_48))),bind(Y0,$fot(meet(a,meet(b,X_48))))]]) ).

cnf(refute_0_397,plain,
    meet(a,meet(b,X_48)) = meet(a,X_48),
    inference(resolve,[$cnf( $equal(meet(a,X_48),meet(a,meet(b,X_48))) )],[refute_0_395,refute_0_396]) ).

cnf(refute_0_398,plain,
    ( meet(a,meet(b,X_48)) != meet(a,X_48)
    | meet(meet(b,X_48),meet(a,meet(b,X_48))) != meet(meet(b,X_48),a)
    | meet(meet(b,X_48),meet(a,X_48)) = meet(meet(b,X_48),a) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,X_48),meet(a,meet(b,X_48))),meet(meet(b,X_48),a)) ),[0,1],$fot(meet(a,X_48))]]) ).

cnf(refute_0_399,plain,
    ( meet(meet(b,X_48),meet(a,meet(b,X_48))) != meet(meet(b,X_48),a)
    | meet(meet(b,X_48),meet(a,X_48)) = meet(meet(b,X_48),a) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(b,X_48)),meet(a,X_48)) )],[refute_0_397,refute_0_398]) ).

cnf(refute_0_400,plain,
    meet(meet(b,X_48),meet(a,X_48)) = meet(meet(b,X_48),a),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_48),meet(a,meet(b,X_48))),meet(meet(b,X_48),a)) )],[refute_0_390,refute_0_399]) ).

cnf(refute_0_401,plain,
    meet(X_48,meet(b,X_48)) = meet(X_48,b),
    inference(subst,[],[refute_0_49:[bind(X_10,$fot(X_48)),bind(X_15,$fot(b))]]) ).

cnf(refute_0_402,plain,
    meet(a,meet(X_48,meet(b,X_48))) = meet(a,meet(X_48,meet(b,X_48))),
    introduced(tautology,[refl,[$fot(meet(a,meet(X_48,meet(b,X_48))))]]) ).

cnf(refute_0_403,plain,
    ( meet(X_48,meet(b,X_48)) != meet(X_48,b)
    | meet(a,meet(X_48,meet(b,X_48))) != meet(a,meet(X_48,meet(b,X_48)))
    | meet(a,meet(X_48,meet(b,X_48))) = meet(a,meet(X_48,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(X_48,meet(b,X_48))),meet(a,meet(X_48,meet(b,X_48)))) ),[1,1],$fot(meet(X_48,b))]]) ).

cnf(refute_0_404,plain,
    ( meet(X_48,meet(b,X_48)) != meet(X_48,b)
    | meet(a,meet(X_48,meet(b,X_48))) = meet(a,meet(X_48,b)) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_48,meet(b,X_48))),meet(a,meet(X_48,meet(b,X_48)))) )],[refute_0_402,refute_0_403]) ).

cnf(refute_0_405,plain,
    meet(a,meet(X_48,meet(b,X_48))) = meet(a,meet(X_48,b)),
    inference(resolve,[$cnf( $equal(meet(X_48,meet(b,X_48)),meet(X_48,b)) )],[refute_0_401,refute_0_404]) ).

cnf(refute_0_406,plain,
    meet(meet(X_43,X_44),X_45) = meet(X_43,meet(X_44,X_45)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_407,plain,
    meet(X_45,X_44) = meet(X_44,X_45),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_45)),bind(Y,$fot(X_44))]]) ).

cnf(refute_0_408,plain,
    ( meet(X_45,X_44) != meet(X_44,X_45)
    | meet(X_44,X_45) = meet(X_45,X_44) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_45,X_44))),bind(Y0,$fot(meet(X_44,X_45)))]]) ).

cnf(refute_0_409,plain,
    meet(X_44,X_45) = meet(X_45,X_44),
    inference(resolve,[$cnf( $equal(meet(X_45,X_44),meet(X_44,X_45)) )],[refute_0_407,refute_0_408]) ).

cnf(refute_0_410,plain,
    ( meet(X_44,X_45) != meet(X_45,X_44)
    | meet(meet(X_43,X_44),X_45) != meet(X_43,meet(X_44,X_45))
    | meet(meet(X_43,X_44),X_45) = meet(X_43,meet(X_45,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,X_44),X_45),meet(X_43,meet(X_44,X_45))) ),[1,1],$fot(meet(X_45,X_44))]]) ).

cnf(refute_0_411,plain,
    ( meet(meet(X_43,X_44),X_45) != meet(X_43,meet(X_44,X_45))
    | meet(meet(X_43,X_44),X_45) = meet(X_43,meet(X_45,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(X_44,X_45),meet(X_45,X_44)) )],[refute_0_409,refute_0_410]) ).

cnf(refute_0_412,plain,
    meet(meet(X_43,X_44),X_45) = meet(X_43,meet(X_45,X_44)),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),X_45),meet(X_43,meet(X_44,X_45))) )],[refute_0_406,refute_0_411]) ).

cnf(refute_0_413,plain,
    ( meet(meet(X_43,X_44),X_45) != meet(X_43,meet(X_44,X_45))
    | meet(meet(X_43,X_44),X_45) != meet(X_43,meet(X_45,X_44))
    | meet(X_43,meet(X_44,X_45)) = meet(X_43,meet(X_45,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,X_44),X_45),meet(X_43,meet(X_45,X_44))) ),[0],$fot(meet(X_43,meet(X_44,X_45)))]]) ).

cnf(refute_0_414,plain,
    ( meet(meet(X_43,X_44),X_45) != meet(X_43,meet(X_45,X_44))
    | meet(X_43,meet(X_44,X_45)) = meet(X_43,meet(X_45,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),X_45),meet(X_43,meet(X_44,X_45))) )],[refute_0_406,refute_0_413]) ).

cnf(refute_0_415,plain,
    meet(X_43,meet(X_44,X_45)) = meet(X_43,meet(X_45,X_44)),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),X_45),meet(X_43,meet(X_45,X_44))) )],[refute_0_412,refute_0_414]) ).

cnf(refute_0_416,plain,
    ( meet(X_43,meet(X_44,X_45)) != meet(X_43,meet(X_45,X_44))
    | meet(X_43,meet(X_45,X_44)) = meet(X_43,meet(X_44,X_45)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_43,meet(X_44,X_45)))),bind(Y0,$fot(meet(X_43,meet(X_45,X_44))))]]) ).

cnf(refute_0_417,plain,
    meet(X_43,meet(X_45,X_44)) = meet(X_43,meet(X_44,X_45)),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_44,X_45)),meet(X_43,meet(X_45,X_44))) )],[refute_0_415,refute_0_416]) ).

cnf(refute_0_418,plain,
    meet(a,meet(meet(b,X_48),X_48)) = meet(a,meet(X_48,meet(b,X_48))),
    inference(subst,[],[refute_0_417:[bind(X_43,$fot(a)),bind(X_44,$fot(X_48)),bind(X_45,$fot(meet(b,X_48)))]]) ).

cnf(refute_0_419,plain,
    meet(X_44,X_43) = meet(X_43,X_44),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_44)),bind(Y,$fot(X_43))]]) ).

cnf(refute_0_420,plain,
    ( meet(X_44,X_43) != meet(X_43,X_44)
    | meet(X_43,X_44) = meet(X_44,X_43) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_44,X_43))),bind(Y0,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_421,plain,
    meet(X_43,X_44) = meet(X_44,X_43),
    inference(resolve,[$cnf( $equal(meet(X_44,X_43),meet(X_43,X_44)) )],[refute_0_419,refute_0_420]) ).

cnf(refute_0_422,plain,
    ( meet(X_43,X_44) != meet(X_44,X_43)
    | meet(meet(X_43,X_44),X_45) != meet(X_43,meet(X_44,X_45))
    | meet(meet(X_44,X_43),X_45) = meet(X_43,meet(X_44,X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,X_44),X_45),meet(X_43,meet(X_44,X_45))) ),[0,0],$fot(meet(X_44,X_43))]]) ).

cnf(refute_0_423,plain,
    ( meet(meet(X_43,X_44),X_45) != meet(X_43,meet(X_44,X_45))
    | meet(meet(X_44,X_43),X_45) = meet(X_43,meet(X_44,X_45)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,X_44),meet(X_44,X_43)) )],[refute_0_421,refute_0_422]) ).

cnf(refute_0_424,plain,
    meet(meet(X_44,X_43),X_45) = meet(X_43,meet(X_44,X_45)),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),X_45),meet(X_43,meet(X_44,X_45))) )],[refute_0_406,refute_0_423]) ).

cnf(refute_0_425,plain,
    meet(meet(X_44,X_43),X_45) = meet(X_44,meet(X_43,X_45)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_44)),bind(Y,$fot(X_43)),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_426,plain,
    ( meet(meet(X_44,X_43),X_45) != meet(X_43,meet(X_44,X_45))
    | meet(meet(X_44,X_43),X_45) != meet(X_44,meet(X_43,X_45))
    | meet(X_44,meet(X_43,X_45)) = meet(X_43,meet(X_44,X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_44,X_43),X_45),meet(X_43,meet(X_44,X_45))) ),[0],$fot(meet(X_44,meet(X_43,X_45)))]]) ).

cnf(refute_0_427,plain,
    ( meet(meet(X_44,X_43),X_45) != meet(X_43,meet(X_44,X_45))
    | meet(X_44,meet(X_43,X_45)) = meet(X_43,meet(X_44,X_45)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,X_43),X_45),meet(X_44,meet(X_43,X_45))) )],[refute_0_425,refute_0_426]) ).

cnf(refute_0_428,plain,
    meet(X_44,meet(X_43,X_45)) = meet(X_43,meet(X_44,X_45)),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,X_43),X_45),meet(X_43,meet(X_44,X_45))) )],[refute_0_424,refute_0_427]) ).

cnf(refute_0_429,plain,
    ( meet(X_44,meet(X_43,X_45)) != meet(X_43,meet(X_44,X_45))
    | meet(X_43,meet(X_44,X_45)) = meet(X_44,meet(X_43,X_45)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_44,meet(X_43,X_45)))),bind(Y0,$fot(meet(X_43,meet(X_44,X_45))))]]) ).

cnf(refute_0_430,plain,
    meet(X_43,meet(X_44,X_45)) = meet(X_44,meet(X_43,X_45)),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_43,X_45)),meet(X_43,meet(X_44,X_45))) )],[refute_0_428,refute_0_429]) ).

cnf(refute_0_431,plain,
    meet(meet(b,X_48),meet(a,X_48)) = meet(a,meet(meet(b,X_48),X_48)),
    inference(subst,[],[refute_0_430:[bind(X_43,$fot(meet(b,X_48))),bind(X_44,$fot(a)),bind(X_45,$fot(X_48))]]) ).

cnf(refute_0_432,plain,
    ( meet(a,meet(meet(b,X_48),X_48)) != meet(a,meet(X_48,meet(b,X_48)))
    | meet(meet(b,X_48),meet(a,X_48)) != meet(a,meet(meet(b,X_48),X_48))
    | meet(meet(b,X_48),meet(a,X_48)) = meet(a,meet(X_48,meet(b,X_48))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(b,X_48),meet(a,X_48)))),bind(Y0,$fot(meet(a,meet(meet(b,X_48),X_48)))),bind(Z0,$fot(meet(a,meet(X_48,meet(b,X_48)))))]]) ).

cnf(refute_0_433,plain,
    ( meet(a,meet(meet(b,X_48),X_48)) != meet(a,meet(X_48,meet(b,X_48)))
    | meet(meet(b,X_48),meet(a,X_48)) = meet(a,meet(X_48,meet(b,X_48))) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_48),meet(a,X_48)),meet(a,meet(meet(b,X_48),X_48))) )],[refute_0_431,refute_0_432]) ).

cnf(refute_0_434,plain,
    meet(meet(b,X_48),meet(a,X_48)) = meet(a,meet(X_48,meet(b,X_48))),
    inference(resolve,[$cnf( $equal(meet(a,meet(meet(b,X_48),X_48)),meet(a,meet(X_48,meet(b,X_48)))) )],[refute_0_418,refute_0_433]) ).

cnf(refute_0_435,plain,
    ( meet(a,meet(X_48,meet(b,X_48))) != meet(a,meet(X_48,b))
    | meet(meet(b,X_48),meet(a,X_48)) != meet(a,meet(X_48,meet(b,X_48)))
    | meet(meet(b,X_48),meet(a,X_48)) = meet(a,meet(X_48,b)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(b,X_48),meet(a,X_48)))),bind(Y0,$fot(meet(a,meet(X_48,meet(b,X_48))))),bind(Z0,$fot(meet(a,meet(X_48,b))))]]) ).

cnf(refute_0_436,plain,
    ( meet(a,meet(X_48,meet(b,X_48))) != meet(a,meet(X_48,b))
    | meet(meet(b,X_48),meet(a,X_48)) = meet(a,meet(X_48,b)) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_48),meet(a,X_48)),meet(a,meet(X_48,meet(b,X_48)))) )],[refute_0_434,refute_0_435]) ).

cnf(refute_0_437,plain,
    meet(meet(b,X_48),meet(a,X_48)) = meet(a,meet(X_48,b)),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_48,meet(b,X_48))),meet(a,meet(X_48,b))) )],[refute_0_405,refute_0_436]) ).

cnf(refute_0_438,plain,
    ( meet(meet(b,X_48),meet(a,X_48)) != meet(a,meet(X_48,b))
    | meet(meet(b,X_48),meet(a,X_48)) != meet(meet(b,X_48),a)
    | meet(a,meet(X_48,b)) = meet(meet(b,X_48),a) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,X_48),meet(a,X_48)),meet(meet(b,X_48),a)) ),[0],$fot(meet(a,meet(X_48,b)))]]) ).

cnf(refute_0_439,plain,
    ( meet(meet(b,X_48),meet(a,X_48)) != meet(meet(b,X_48),a)
    | meet(a,meet(X_48,b)) = meet(meet(b,X_48),a) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_48),meet(a,X_48)),meet(a,meet(X_48,b))) )],[refute_0_437,refute_0_438]) ).

cnf(refute_0_440,plain,
    ( meet(X,meet(X_43,X_44)) != meet(X_43,meet(X_44,X))
    | meet(X_43,meet(X_44,X)) = meet(X,meet(X_43,X_44)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,meet(X_43,X_44)))),bind(Y0,$fot(meet(X_43,meet(X_44,X))))]]) ).

cnf(refute_0_441,plain,
    meet(X_43,meet(X_44,X)) = meet(X,meet(X_43,X_44)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_43,X_44)),meet(X_43,meet(X_44,X))) )],[refute_0_59,refute_0_440]) ).

cnf(refute_0_442,plain,
    meet(b,meet(X_48,a)) = meet(a,meet(b,X_48)),
    inference(subst,[],[refute_0_441:[bind(X,$fot(a)),bind(X_43,$fot(b)),bind(X_44,$fot(X_48))]]) ).

cnf(refute_0_443,plain,
    ( meet(a,meet(b,X_48)) != meet(a,X_48)
    | meet(b,meet(X_48,a)) != meet(a,meet(b,X_48))
    | meet(b,meet(X_48,a)) = meet(a,X_48) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(X_48,a)))),bind(Y0,$fot(meet(a,meet(b,X_48)))),bind(Z0,$fot(meet(a,X_48)))]]) ).

cnf(refute_0_444,plain,
    ( meet(a,meet(b,X_48)) != meet(a,X_48)
    | meet(b,meet(X_48,a)) = meet(a,X_48) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_48,a)),meet(a,meet(b,X_48))) )],[refute_0_442,refute_0_443]) ).

cnf(refute_0_445,plain,
    meet(b,meet(X_48,a)) = meet(a,X_48),
    inference(resolve,[$cnf( $equal(meet(a,meet(b,X_48)),meet(a,X_48)) )],[refute_0_397,refute_0_444]) ).

cnf(refute_0_446,plain,
    meet(meet(b,X_48),a) = meet(b,meet(X_48,a)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(X_48)),bind(Z,$fot(a))]]) ).

cnf(refute_0_447,plain,
    ( meet(b,meet(X_48,a)) != meet(a,X_48)
    | meet(meet(b,X_48),a) != meet(b,meet(X_48,a))
    | meet(meet(b,X_48),a) = meet(a,X_48) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(b,X_48),a))),bind(Y0,$fot(meet(b,meet(X_48,a)))),bind(Z0,$fot(meet(a,X_48)))]]) ).

cnf(refute_0_448,plain,
    ( meet(b,meet(X_48,a)) != meet(a,X_48)
    | meet(meet(b,X_48),a) = meet(a,X_48) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_48),a),meet(b,meet(X_48,a))) )],[refute_0_446,refute_0_447]) ).

cnf(refute_0_449,plain,
    meet(meet(b,X_48),a) = meet(a,X_48),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_48,a)),meet(a,X_48)) )],[refute_0_445,refute_0_448]) ).

cnf(refute_0_450,plain,
    ( meet(a,meet(X_48,b)) != meet(meet(b,X_48),a)
    | meet(meet(b,X_48),a) != meet(a,X_48)
    | meet(a,meet(X_48,b)) = meet(a,X_48) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(a,meet(X_48,b)),meet(a,X_48)) ),[0],$fot(meet(meet(b,X_48),a))]]) ).

cnf(refute_0_451,plain,
    ( meet(a,meet(X_48,b)) != meet(meet(b,X_48),a)
    | meet(a,meet(X_48,b)) = meet(a,X_48) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_48),a),meet(a,X_48)) )],[refute_0_449,refute_0_450]) ).

cnf(refute_0_452,plain,
    ( meet(meet(b,X_48),meet(a,X_48)) != meet(meet(b,X_48),a)
    | meet(a,meet(X_48,b)) = meet(a,X_48) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_48,b)),meet(meet(b,X_48),a)) )],[refute_0_439,refute_0_451]) ).

cnf(refute_0_453,plain,
    meet(a,meet(X_48,b)) = meet(a,X_48),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_48),meet(a,X_48)),meet(meet(b,X_48),a)) )],[refute_0_400,refute_0_452]) ).

cnf(refute_0_454,plain,
    meet(a,meet(X_59,b)) = meet(a,X_59),
    inference(subst,[],[refute_0_453:[bind(X_48,$fot(X_59))]]) ).

cnf(refute_0_455,plain,
    ( join(meet(X_59,b),meet(a,meet(X_59,b))) != meet(X_59,b)
    | meet(a,meet(X_59,b)) != meet(a,X_59)
    | join(meet(X_59,b),meet(a,X_59)) = meet(X_59,b) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_59,b),meet(a,meet(X_59,b))),meet(X_59,b)) ),[0,1],$fot(meet(a,X_59))]]) ).

cnf(refute_0_456,plain,
    ( join(meet(X_59,b),meet(a,meet(X_59,b))) != meet(X_59,b)
    | join(meet(X_59,b),meet(a,X_59)) = meet(X_59,b) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_59,b)),meet(a,X_59)) )],[refute_0_454,refute_0_455]) ).

cnf(refute_0_457,plain,
    join(meet(X_59,b),meet(a,X_59)) = meet(X_59,b),
    inference(resolve,[$cnf( $equal(join(meet(X_59,b),meet(a,meet(X_59,b))),meet(X_59,b)) )],[refute_0_389,refute_0_456]) ).

cnf(refute_0_458,plain,
    ( join(X_279,join(meet(X_59,b),meet(a,X_59))) != join(meet(a,X_59),join(meet(X_59,b),X_279))
    | join(meet(X_59,b),meet(a,X_59)) != meet(X_59,b)
    | join(X_279,meet(X_59,b)) = join(meet(a,X_59),join(meet(X_59,b),X_279)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_279,join(meet(X_59,b),meet(a,X_59))),join(meet(a,X_59),join(meet(X_59,b),X_279))) ),[0,1],$fot(meet(X_59,b))]]) ).

cnf(refute_0_459,plain,
    ( join(X_279,join(meet(X_59,b),meet(a,X_59))) != join(meet(a,X_59),join(meet(X_59,b),X_279))
    | join(X_279,meet(X_59,b)) = join(meet(a,X_59),join(meet(X_59,b),X_279)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_59,b),meet(a,X_59)),meet(X_59,b)) )],[refute_0_457,refute_0_458]) ).

cnf(refute_0_460,plain,
    join(X_279,meet(X_59,b)) = join(meet(a,X_59),join(meet(X_59,b),X_279)),
    inference(resolve,[$cnf( $equal(join(X_279,join(meet(X_59,b),meet(a,X_59))),join(meet(a,X_59),join(meet(X_59,b),X_279))) )],[refute_0_388,refute_0_459]) ).

cnf(refute_0_461,plain,
    join(X_684,meet(X_685,b)) = join(meet(a,X_685),join(meet(X_685,b),X_684)),
    inference(subst,[],[refute_0_460:[bind(X_279,$fot(X_684)),bind(X_59,$fot(X_685))]]) ).

cnf(refute_0_462,plain,
    ( join(X_684,meet(X_685,b)) != join(meet(a,X_685),join(meet(X_685,b),X_684))
    | join(meet(a,X_685),join(meet(X_685,b),X_684)) = join(X_684,meet(X_685,b)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_684,meet(X_685,b)))),bind(Y0,$fot(join(meet(a,X_685),join(meet(X_685,b),X_684))))]]) ).

cnf(refute_0_463,plain,
    join(meet(a,X_685),join(meet(X_685,b),X_684)) = join(X_684,meet(X_685,b)),
    inference(resolve,[$cnf( $equal(join(X_684,meet(X_685,b)),join(meet(a,X_685),join(meet(X_685,b),X_684))) )],[refute_0_461,refute_0_462]) ).

cnf(refute_0_464,plain,
    ( join(meet(a,X_685),join(meet(X_685,b),X_684)) != join(X_684,meet(X_685,b))
    | join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(meet(a,X_685),join(meet(X_685,b),X_684))))))
    | join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))),meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(meet(a,X_685),join(meet(X_685,b),X_684))))))) ),[1,1,1,1,1],$fot(join(X_684,meet(X_685,b)))]]) ).

cnf(refute_0_465,plain,
    ( join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(meet(a,X_685),join(meet(X_685,b),X_684))))))
    | join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,X_685),join(meet(X_685,b),X_684)),join(X_684,meet(X_685,b))) )],[refute_0_463,refute_0_464]) ).

cnf(refute_0_466,plain,
    join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))),
    inference(resolve,[$cnf( $equal(join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))),meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(meet(a,X_685),join(meet(X_685,b),X_684))))))) )],[refute_0_370,refute_0_465]) ).

cnf(refute_0_467,plain,
    meet(meet(a,X_685),join(meet(X_685,b),X_684)) = meet(a,meet(X_685,join(meet(X_685,b),X_684))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(X_685)),bind(Z,$fot(join(meet(X_685,b),X_684)))]]) ).

cnf(refute_0_468,plain,
    join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))),
    introduced(tautology,[refl,[$fot(join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))))]]) ).

cnf(refute_0_469,plain,
    ( join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684)))
    | meet(meet(a,X_685),join(meet(X_685,b),X_684)) != meet(a,meet(X_685,join(meet(X_685,b),X_684)))
    | join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))),join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684)))) ),[1,1],$fot(meet(a,meet(X_685,join(meet(X_685,b),X_684))))]]) ).

cnf(refute_0_470,plain,
    ( meet(meet(a,X_685),join(meet(X_685,b),X_684)) != meet(a,meet(X_685,join(meet(X_685,b),X_684)))
    | join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))),join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684)))) )],[refute_0_468,refute_0_469]) ).

cnf(refute_0_471,plain,
    join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),
    inference(resolve,[$cnf( $equal(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) )],[refute_0_467,refute_0_470]) ).

cnf(refute_0_472,plain,
    meet(meet(a,X_685),Y) = meet(a,meet(X_685,Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(X_685)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_473,plain,
    join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))),
    introduced(tautology,[refl,[$fot(join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))))]]) ).

cnf(refute_0_474,plain,
    ( join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684)))
    | meet(meet(a,X_685),Y) != meet(a,meet(X_685,Y))
    | join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))),join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684)))) ),[1,0],$fot(meet(a,meet(X_685,Y)))]]) ).

cnf(refute_0_475,plain,
    ( meet(meet(a,X_685),Y) != meet(a,meet(X_685,Y))
    | join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))),join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684)))) )],[refute_0_473,refute_0_474]) ).

cnf(refute_0_476,plain,
    join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))),
    inference(resolve,[$cnf( $equal(meet(meet(a,X_685),Y),meet(a,meet(X_685,Y))) )],[refute_0_472,refute_0_475]) ).

cnf(refute_0_477,plain,
    ( join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684))))
    | join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684)))
    | join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))))),bind(Y0,$fot(join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))))),bind(Z0,$fot(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684))))))]]) ).

cnf(refute_0_478,plain,
    ( join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684))))
    | join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))),join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684)))) )],[refute_0_476,refute_0_477]) ).

cnf(refute_0_479,plain,
    join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) = join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(meet(a,X_685),join(meet(X_685,b),X_684))),join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684))))) )],[refute_0_471,refute_0_478]) ).

cnf(refute_0_480,plain,
    ( join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684))))
    | join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))),meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) ),[0],$fot(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))))]]) ).

cnf(refute_0_481,plain,
    ( join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))),join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684))))) )],[refute_0_479,refute_0_480]) ).

cnf(refute_0_482,plain,
    join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))) = join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))),
    introduced(tautology,[refl,[$fot(join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))]]) ).

cnf(refute_0_483,plain,
    ( join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))) != join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))
    | meet(meet(a,X_685),join(meet(X_685,b),X_684)) != meet(a,meet(X_685,join(meet(X_685,b),X_684)))
    | join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))) = join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) ),[1,0],$fot(meet(a,meet(X_685,join(meet(X_685,b),X_684))))]]) ).

cnf(refute_0_484,plain,
    ( meet(meet(a,X_685),join(meet(X_685,b),X_684)) != meet(a,meet(X_685,join(meet(X_685,b),X_684)))
    | join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))) = join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) )],[refute_0_482,refute_0_483]) ).

cnf(refute_0_485,plain,
    join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))) = join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))),
    inference(resolve,[$cnf( $equal(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) )],[refute_0_467,refute_0_484]) ).

cnf(refute_0_486,plain,
    join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))),
    introduced(tautology,[refl,[$fot(join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))]]) ).

cnf(refute_0_487,plain,
    ( join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))
    | join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))) != join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))
    | join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))),join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) ),[1,1],$fot(join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))]]) ).

cnf(refute_0_488,plain,
    ( join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))) != join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))
    | join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))),join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) )],[refute_0_486,refute_0_487]) ).

cnf(refute_0_489,plain,
    join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))),
    inference(resolve,[$cnf( $equal(join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) )],[refute_0_485,refute_0_488]) ).

cnf(refute_0_490,plain,
    join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))),
    introduced(tautology,[refl,[$fot(join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))]]) ).

cnf(refute_0_491,plain,
    ( join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))
    | meet(meet(a,X_685),Y) != meet(a,meet(X_685,Y))
    | join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) ),[1,0],$fot(meet(a,meet(X_685,Y)))]]) ).

cnf(refute_0_492,plain,
    ( meet(meet(a,X_685),Y) != meet(a,meet(X_685,Y))
    | join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) )],[refute_0_490,refute_0_491]) ).

cnf(refute_0_493,plain,
    join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))),
    inference(resolve,[$cnf( $equal(meet(meet(a,X_685),Y),meet(a,meet(X_685,Y))) )],[refute_0_472,refute_0_492]) ).

cnf(refute_0_494,plain,
    ( join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))
    | join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))
    | join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))),bind(Y0,$fot(join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))),bind(Z0,$fot(join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))]]) ).

cnf(refute_0_495,plain,
    ( join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))
    | join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))),join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) )],[refute_0_493,refute_0_494]) ).

cnf(refute_0_496,plain,
    join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))),join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) )],[refute_0_489,refute_0_495]) ).

cnf(refute_0_497,plain,
    meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) = meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))),
    introduced(tautology,[refl,[$fot(meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))))]]) ).

cnf(refute_0_498,plain,
    ( join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))
    | meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) != meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))
    | meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) = meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))),meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) ),[1,1],$fot(join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))]]) ).

cnf(refute_0_499,plain,
    ( join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))
    | meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) = meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) ),
    inference(resolve,[$cnf( $equal(meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))),meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) )],[refute_0_497,refute_0_498]) ).

cnf(refute_0_500,plain,
    meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) = meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))),
    inference(resolve,[$cnf( $equal(join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))),join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) )],[refute_0_496,refute_0_499]) ).

cnf(refute_0_501,plain,
    meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) = meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))),
    introduced(tautology,[refl,[$fot(meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))))]]) ).

cnf(refute_0_502,plain,
    ( meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) != meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))
    | meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) != meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))))
    | meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))),meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))))) ),[1,1],$fot(meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))]]) ).

cnf(refute_0_503,plain,
    ( meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) != meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))
    | meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))),meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))))) )],[refute_0_501,refute_0_502]) ).

cnf(refute_0_504,plain,
    meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))),
    inference(resolve,[$cnf( $equal(meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))),meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) )],[refute_0_500,refute_0_503]) ).

cnf(refute_0_505,plain,
    meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) = meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(X_685)),bind(Z,$fot(join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))))]]) ).

cnf(refute_0_506,plain,
    ( meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) != meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))
    | meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) != meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))))
    | meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))))),bind(Y0,$fot(meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))))),bind(Z0,$fot(meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))))]]) ).

cnf(refute_0_507,plain,
    ( meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) != meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))
    | meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))),meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))))) )],[refute_0_505,refute_0_506]) ).

cnf(refute_0_508,plain,
    meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_685,join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))),meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))) )],[refute_0_504,refute_0_507]) ).

cnf(refute_0_509,plain,
    ( join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) != meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))
    | meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))) != meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))) ),[0],$fot(meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))))]]) ).

cnf(refute_0_510,plain,
    ( join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) != meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b)))))),meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))) )],[refute_0_508,refute_0_509]) ).

cnf(refute_0_511,plain,
    ( join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))) != meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) )],[refute_0_481,refute_0_510]) ).

cnf(refute_0_512,plain,
    join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))),
    inference(resolve,[$cnf( $equal(join(meet(meet(a,X_685),Y),meet(meet(a,X_685),join(meet(X_685,b),X_684))),meet(meet(a,X_685),join(meet(meet(a,X_685),Y),join(meet(meet(a,X_685),join(meet(X_685,b),X_684)),meet(Y,join(X_684,meet(X_685,b))))))) )],[refute_0_466,refute_0_511]) ).

cnf(refute_0_513,plain,
    join(meet(X_75,X_73),meet(Y,meet(X_75,X_73))) = meet(X_75,X_73),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_75,X_73)))]]) ).

cnf(refute_0_514,plain,
    meet(X_73,meet(Y,X_75)) = meet(Y,meet(X_75,X_73)),
    inference(subst,[],[refute_0_59:[bind(X,$fot(X_73)),bind(X_43,$fot(Y)),bind(X_44,$fot(X_75))]]) ).

cnf(refute_0_515,plain,
    ( meet(X_73,meet(Y,X_75)) != meet(Y,meet(X_75,X_73))
    | meet(Y,meet(X_75,X_73)) = meet(X_73,meet(Y,X_75)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_73,meet(Y,X_75)))),bind(Y0,$fot(meet(Y,meet(X_75,X_73))))]]) ).

cnf(refute_0_516,plain,
    meet(Y,meet(X_75,X_73)) = meet(X_73,meet(Y,X_75)),
    inference(resolve,[$cnf( $equal(meet(X_73,meet(Y,X_75)),meet(Y,meet(X_75,X_73))) )],[refute_0_514,refute_0_515]) ).

cnf(refute_0_517,plain,
    ( join(meet(X_75,X_73),meet(Y,meet(X_75,X_73))) != meet(X_75,X_73)
    | meet(Y,meet(X_75,X_73)) != meet(X_73,meet(Y,X_75))
    | join(meet(X_75,X_73),meet(X_73,meet(Y,X_75))) = meet(X_75,X_73) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_75,X_73),meet(Y,meet(X_75,X_73))),meet(X_75,X_73)) ),[0,1],$fot(meet(X_73,meet(Y,X_75)))]]) ).

cnf(refute_0_518,plain,
    ( join(meet(X_75,X_73),meet(Y,meet(X_75,X_73))) != meet(X_75,X_73)
    | join(meet(X_75,X_73),meet(X_73,meet(Y,X_75))) = meet(X_75,X_73) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_75,X_73)),meet(X_73,meet(Y,X_75))) )],[refute_0_516,refute_0_517]) ).

cnf(refute_0_519,plain,
    join(meet(X_75,X_73),meet(X_73,meet(Y,X_75))) = meet(X_75,X_73),
    inference(resolve,[$cnf( $equal(join(meet(X_75,X_73),meet(Y,meet(X_75,X_73))),meet(X_75,X_73)) )],[refute_0_513,refute_0_518]) ).

cnf(refute_0_520,plain,
    join(meet(a,X_685),meet(X_685,meet(Y,a))) = meet(a,X_685),
    inference(subst,[],[refute_0_519:[bind(X_73,$fot(X_685)),bind(X_75,$fot(a))]]) ).

cnf(refute_0_521,plain,
    join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) = join(meet(a,meet(b,meet(X_712,join(a,meet(b,a))))),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)),
    inference(subst,[],[refute_0_460:[bind(X_59,$fot(meet(b,meet(X_712,join(a,meet(b,a))))))]]) ).

cnf(refute_0_522,plain,
    meet(X_10,meet(meet(X_43,X_44),X_10)) = meet(X_10,meet(X_43,X_44)),
    inference(subst,[],[refute_0_49:[bind(X_15,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_523,plain,
    meet(meet(X_43,X_44),X_10) = meet(X_43,meet(X_44,X_10)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(X_10))]]) ).

cnf(refute_0_524,plain,
    ( meet(X_10,meet(meet(X_43,X_44),X_10)) != meet(X_10,meet(X_43,X_44))
    | meet(meet(X_43,X_44),X_10) != meet(X_43,meet(X_44,X_10))
    | meet(X_10,meet(X_43,meet(X_44,X_10))) = meet(X_10,meet(X_43,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_10,meet(meet(X_43,X_44),X_10)),meet(X_10,meet(X_43,X_44))) ),[0,1],$fot(meet(X_43,meet(X_44,X_10)))]]) ).

cnf(refute_0_525,plain,
    ( meet(X_10,meet(meet(X_43,X_44),X_10)) != meet(X_10,meet(X_43,X_44))
    | meet(X_10,meet(X_43,meet(X_44,X_10))) = meet(X_10,meet(X_43,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),X_10),meet(X_43,meet(X_44,X_10))) )],[refute_0_523,refute_0_524]) ).

cnf(refute_0_526,plain,
    meet(X_10,meet(X_43,meet(X_44,X_10))) = meet(X_10,meet(X_43,X_44)),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(meet(X_43,X_44),X_10)),meet(X_10,meet(X_43,X_44))) )],[refute_0_522,refute_0_525]) ).

cnf(refute_0_527,plain,
    meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,join(a,meet(b,X_533))))) = meet(join(a,meet(b,X_533)),meet(X_532,X_533)),
    inference(subst,[],[refute_0_526:[bind(X_10,$fot(join(a,meet(b,X_533)))),bind(X_43,$fot(X_532)),bind(X_44,$fot(X_533))]]) ).

cnf(refute_0_528,plain,
    join(meet(X_157,a),meet(X_157,b)) = meet(X_157,join(meet(X_157,a),join(meet(X_157,b),meet(a,join(X_157,b))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(X_157)),bind(Y,$fot(a)),bind(Z,$fot(b))]]) ).

cnf(refute_0_529,plain,
    meet(a,join(X_10,b)) = meet(a,meet(b,join(X_10,b))),
    inference(subst,[],[refute_0_394:[bind(X_45,$fot(join(X_10,b)))]]) ).

cnf(refute_0_530,plain,
    meet(b,join(X_10,b)) = b,
    inference(subst,[],[refute_0_40:[bind(X_9,$fot(b))]]) ).

cnf(refute_0_531,plain,
    ( meet(a,join(X_10,b)) != meet(a,meet(b,join(X_10,b)))
    | meet(b,join(X_10,b)) != b
    | meet(a,join(X_10,b)) = meet(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,join(X_10,b)),meet(a,meet(b,join(X_10,b)))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_532,plain,
    ( meet(a,join(X_10,b)) != meet(a,meet(b,join(X_10,b)))
    | meet(a,join(X_10,b)) = meet(a,b) ),
    inference(resolve,[$cnf( $equal(meet(b,join(X_10,b)),b) )],[refute_0_530,refute_0_531]) ).

cnf(refute_0_533,plain,
    meet(a,join(X_10,b)) = meet(a,b),
    inference(resolve,[$cnf( $equal(meet(a,join(X_10,b)),meet(a,meet(b,join(X_10,b)))) )],[refute_0_529,refute_0_532]) ).

cnf(refute_0_534,plain,
    ( meet(a,b) != a
    | meet(a,join(X_10,b)) != meet(a,b)
    | meet(a,join(X_10,b)) = a ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,join(X_10,b)),meet(a,b)) ),[1],$fot(a)]]) ).

cnf(refute_0_535,plain,
    ( meet(a,join(X_10,b)) != meet(a,b)
    | meet(a,join(X_10,b)) = a ),
    inference(resolve,[$cnf( $equal(meet(a,b),a) )],[refute_0_110,refute_0_534]) ).

cnf(refute_0_536,plain,
    meet(a,join(X_10,b)) = a,
    inference(resolve,[$cnf( $equal(meet(a,join(X_10,b)),meet(a,b)) )],[refute_0_533,refute_0_535]) ).

cnf(refute_0_537,plain,
    meet(a,join(X_157,b)) = a,
    inference(subst,[],[refute_0_536:[bind(X_10,$fot(X_157))]]) ).

cnf(refute_0_538,plain,
    ( join(meet(X_157,a),meet(X_157,b)) != meet(X_157,join(meet(X_157,a),join(meet(X_157,b),meet(a,join(X_157,b)))))
    | meet(a,join(X_157,b)) != a
    | join(meet(X_157,a),meet(X_157,b)) = meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,a),meet(X_157,b)),meet(X_157,join(meet(X_157,a),join(meet(X_157,b),meet(a,join(X_157,b)))))) ),[1,1,1,1],$fot(a)]]) ).

cnf(refute_0_539,plain,
    ( join(meet(X_157,a),meet(X_157,b)) != meet(X_157,join(meet(X_157,a),join(meet(X_157,b),meet(a,join(X_157,b)))))
    | join(meet(X_157,a),meet(X_157,b)) = meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))) ),
    inference(resolve,[$cnf( $equal(meet(a,join(X_157,b)),a) )],[refute_0_537,refute_0_538]) ).

cnf(refute_0_540,plain,
    join(meet(X_157,a),meet(X_157,b)) = meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,a),meet(X_157,b)),meet(X_157,join(meet(X_157,a),join(meet(X_157,b),meet(a,join(X_157,b)))))) )],[refute_0_528,refute_0_539]) ).

cnf(refute_0_541,plain,
    join(meet(X_100,b),meet(a,X_100)) = meet(X_100,b),
    inference(subst,[],[refute_0_457:[bind(X_59,$fot(X_100))]]) ).

cnf(refute_0_542,plain,
    meet(X_100,a) = meet(a,X_100),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_100)),bind(Y,$fot(a))]]) ).

cnf(refute_0_543,plain,
    ( meet(X_100,a) != meet(a,X_100)
    | meet(a,X_100) = meet(X_100,a) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_100,a))),bind(Y0,$fot(meet(a,X_100)))]]) ).

cnf(refute_0_544,plain,
    meet(a,X_100) = meet(X_100,a),
    inference(resolve,[$cnf( $equal(meet(X_100,a),meet(a,X_100)) )],[refute_0_542,refute_0_543]) ).

cnf(refute_0_545,plain,
    ( join(meet(X_100,b),meet(a,X_100)) != meet(X_100,b)
    | meet(a,X_100) != meet(X_100,a)
    | join(meet(X_100,b),meet(X_100,a)) = meet(X_100,b) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_100,b),meet(a,X_100)),meet(X_100,b)) ),[0,1],$fot(meet(X_100,a))]]) ).

cnf(refute_0_546,plain,
    ( join(meet(X_100,b),meet(a,X_100)) != meet(X_100,b)
    | join(meet(X_100,b),meet(X_100,a)) = meet(X_100,b) ),
    inference(resolve,[$cnf( $equal(meet(a,X_100),meet(X_100,a)) )],[refute_0_544,refute_0_545]) ).

cnf(refute_0_547,plain,
    join(meet(X_100,b),meet(X_100,a)) = meet(X_100,b),
    inference(resolve,[$cnf( $equal(join(meet(X_100,b),meet(a,X_100)),meet(X_100,b)) )],[refute_0_541,refute_0_546]) ).

cnf(refute_0_548,plain,
    join(meet(X_100,b),meet(X_100,a)) = join(meet(X_100,a),meet(X_100,b)),
    inference(subst,[],[refute_0_115:[bind(X,$fot(meet(X_100,a))),bind(Y,$fot(meet(X_100,b)))]]) ).

cnf(refute_0_549,plain,
    ( join(meet(X_100,b),meet(X_100,a)) != join(meet(X_100,a),meet(X_100,b))
    | join(meet(X_100,b),meet(X_100,a)) != meet(X_100,b)
    | join(meet(X_100,a),meet(X_100,b)) = meet(X_100,b) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_100,b),meet(X_100,a)),meet(X_100,b)) ),[0],$fot(join(meet(X_100,a),meet(X_100,b)))]]) ).

cnf(refute_0_550,plain,
    ( join(meet(X_100,b),meet(X_100,a)) != meet(X_100,b)
    | join(meet(X_100,a),meet(X_100,b)) = meet(X_100,b) ),
    inference(resolve,[$cnf( $equal(join(meet(X_100,b),meet(X_100,a)),join(meet(X_100,a),meet(X_100,b))) )],[refute_0_548,refute_0_549]) ).

cnf(refute_0_551,plain,
    join(meet(X_100,a),meet(X_100,b)) = meet(X_100,b),
    inference(resolve,[$cnf( $equal(join(meet(X_100,b),meet(X_100,a)),meet(X_100,b)) )],[refute_0_547,refute_0_550]) ).

cnf(refute_0_552,plain,
    join(meet(X_157,a),meet(X_157,b)) = meet(X_157,b),
    inference(subst,[],[refute_0_551:[bind(X_100,$fot(X_157))]]) ).

cnf(refute_0_553,plain,
    ( join(meet(X_157,a),meet(X_157,b)) != meet(X_157,b)
    | join(meet(X_157,a),meet(X_157,b)) != meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))
    | meet(X_157,b) = meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,a),meet(X_157,b)),meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))) ),[0],$fot(meet(X_157,b))]]) ).

cnf(refute_0_554,plain,
    ( join(meet(X_157,a),meet(X_157,b)) != meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))
    | meet(X_157,b) = meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_157,a),meet(X_157,b)),meet(X_157,b)) )],[refute_0_552,refute_0_553]) ).

cnf(refute_0_555,plain,
    join(join(X_31,meet(Y,X_31)),X_33) = join(X_31,join(meet(Y,X_31),X_33)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_31)),bind(Y,$fot(meet(Y,X_31))),bind(Z,$fot(X_33))]]) ).

cnf(refute_0_556,plain,
    join(X_31,meet(Y,X_31)) = X_31,
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_31))]]) ).

cnf(refute_0_557,plain,
    ( join(X_31,meet(Y,X_31)) != X_31
    | join(join(X_31,meet(Y,X_31)),X_33) != join(X_31,join(meet(Y,X_31),X_33))
    | join(X_31,X_33) = join(X_31,join(meet(Y,X_31),X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_31,meet(Y,X_31)),X_33),join(X_31,join(meet(Y,X_31),X_33))) ),[0,0],$fot(X_31)]]) ).

cnf(refute_0_558,plain,
    ( join(join(X_31,meet(Y,X_31)),X_33) != join(X_31,join(meet(Y,X_31),X_33))
    | join(X_31,X_33) = join(X_31,join(meet(Y,X_31),X_33)) ),
    inference(resolve,[$cnf( $equal(join(X_31,meet(Y,X_31)),X_31) )],[refute_0_556,refute_0_557]) ).

cnf(refute_0_559,plain,
    join(X_31,X_33) = join(X_31,join(meet(Y,X_31),X_33)),
    inference(resolve,[$cnf( $equal(join(join(X_31,meet(Y,X_31)),X_33),join(X_31,join(meet(Y,X_31),X_33))) )],[refute_0_555,refute_0_558]) ).

cnf(refute_0_560,plain,
    ( join(X_31,X_33) != join(X_31,join(meet(Y,X_31),X_33))
    | join(X_31,join(meet(Y,X_31),X_33)) = join(X_31,X_33) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_31,X_33))),bind(Y0,$fot(join(X_31,join(meet(Y,X_31),X_33))))]]) ).

cnf(refute_0_561,plain,
    join(X_31,join(meet(Y,X_31),X_33)) = join(X_31,X_33),
    inference(resolve,[$cnf( $equal(join(X_31,X_33),join(X_31,join(meet(Y,X_31),X_33))) )],[refute_0_559,refute_0_560]) ).

cnf(refute_0_562,plain,
    join(a,join(meet(X_157,a),meet(X_157,b))) = join(a,meet(X_157,b)),
    inference(subst,[],[refute_0_561:[bind(Y,$fot(X_157)),bind(X_31,$fot(a)),bind(X_33,$fot(meet(X_157,b)))]]) ).

cnf(refute_0_563,plain,
    ( join(X_32,join(X_103,X_33)) != join(X_32,join(X_33,X_103))
    | join(X_32,join(X_33,X_103)) = join(X_32,join(X_103,X_33)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_32,join(X_103,X_33)))),bind(Y0,$fot(join(X_32,join(X_33,X_103))))]]) ).

cnf(refute_0_564,plain,
    join(X_32,join(X_33,X_103)) = join(X_32,join(X_103,X_33)),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_103,X_33)),join(X_32,join(X_33,X_103))) )],[refute_0_286,refute_0_563]) ).

cnf(refute_0_565,plain,
    join(a,join(meet(X_157,b),meet(X_157,a))) = join(a,join(meet(X_157,a),meet(X_157,b))),
    inference(subst,[],[refute_0_564:[bind(X_103,$fot(meet(X_157,a))),bind(X_32,$fot(a)),bind(X_33,$fot(meet(X_157,b)))]]) ).

cnf(refute_0_566,plain,
    ( join(a,join(meet(X_157,a),meet(X_157,b))) != join(a,meet(X_157,b))
    | join(a,join(meet(X_157,b),meet(X_157,a))) != join(a,join(meet(X_157,a),meet(X_157,b)))
    | join(a,join(meet(X_157,b),meet(X_157,a))) = join(a,meet(X_157,b)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(a,join(meet(X_157,b),meet(X_157,a))))),bind(Y0,$fot(join(a,join(meet(X_157,a),meet(X_157,b))))),bind(Z0,$fot(join(a,meet(X_157,b))))]]) ).

cnf(refute_0_567,plain,
    ( join(a,join(meet(X_157,a),meet(X_157,b))) != join(a,meet(X_157,b))
    | join(a,join(meet(X_157,b),meet(X_157,a))) = join(a,meet(X_157,b)) ),
    inference(resolve,[$cnf( $equal(join(a,join(meet(X_157,b),meet(X_157,a))),join(a,join(meet(X_157,a),meet(X_157,b)))) )],[refute_0_565,refute_0_566]) ).

cnf(refute_0_568,plain,
    join(a,join(meet(X_157,b),meet(X_157,a))) = join(a,meet(X_157,b)),
    inference(resolve,[$cnf( $equal(join(a,join(meet(X_157,a),meet(X_157,b))),join(a,meet(X_157,b))) )],[refute_0_562,refute_0_567]) ).

cnf(refute_0_569,plain,
    join(meet(X_157,a),join(meet(X_157,b),a)) = join(a,join(meet(X_157,b),meet(X_157,a))),
    inference(subst,[],[refute_0_307:[bind(Y,$fot(a)),bind(X_154,$fot(meet(X_157,a))),bind(X_155,$fot(meet(X_157,b)))]]) ).

cnf(refute_0_570,plain,
    ( join(a,join(meet(X_157,b),meet(X_157,a))) != join(a,meet(X_157,b))
    | join(meet(X_157,a),join(meet(X_157,b),a)) != join(a,join(meet(X_157,b),meet(X_157,a)))
    | join(meet(X_157,a),join(meet(X_157,b),a)) = join(a,meet(X_157,b)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_157,a),join(meet(X_157,b),a)))),bind(Y0,$fot(join(a,join(meet(X_157,b),meet(X_157,a))))),bind(Z0,$fot(join(a,meet(X_157,b))))]]) ).

cnf(refute_0_571,plain,
    ( join(a,join(meet(X_157,b),meet(X_157,a))) != join(a,meet(X_157,b))
    | join(meet(X_157,a),join(meet(X_157,b),a)) = join(a,meet(X_157,b)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_157,a),join(meet(X_157,b),a)),join(a,join(meet(X_157,b),meet(X_157,a)))) )],[refute_0_569,refute_0_570]) ).

cnf(refute_0_572,plain,
    join(meet(X_157,a),join(meet(X_157,b),a)) = join(a,meet(X_157,b)),
    inference(resolve,[$cnf( $equal(join(a,join(meet(X_157,b),meet(X_157,a))),join(a,meet(X_157,b))) )],[refute_0_568,refute_0_571]) ).

cnf(refute_0_573,plain,
    meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))) = meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))),
    introduced(tautology,[refl,[$fot(meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))))]]) ).

cnf(refute_0_574,plain,
    ( join(meet(X_157,a),join(meet(X_157,b),a)) != join(a,meet(X_157,b))
    | meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))) != meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))
    | meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))) = meet(X_157,join(a,meet(X_157,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))),meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))) ),[1,1],$fot(join(a,meet(X_157,b)))]]) ).

cnf(refute_0_575,plain,
    ( join(meet(X_157,a),join(meet(X_157,b),a)) != join(a,meet(X_157,b))
    | meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))) = meet(X_157,join(a,meet(X_157,b))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))),meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))) )],[refute_0_573,refute_0_574]) ).

cnf(refute_0_576,plain,
    meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))) = meet(X_157,join(a,meet(X_157,b))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,a),join(meet(X_157,b),a)),join(a,meet(X_157,b))) )],[refute_0_572,refute_0_575]) ).

cnf(refute_0_577,plain,
    ( meet(X_157,b) != meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))
    | meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))) != meet(X_157,join(a,meet(X_157,b)))
    | meet(X_157,b) = meet(X_157,join(a,meet(X_157,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_157,b),meet(X_157,join(a,meet(X_157,b)))) ),[0],$fot(meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))))]]) ).

cnf(refute_0_578,plain,
    ( meet(X_157,b) != meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))
    | meet(X_157,b) = meet(X_157,join(a,meet(X_157,b))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a))),meet(X_157,join(a,meet(X_157,b)))) )],[refute_0_576,refute_0_577]) ).

cnf(refute_0_579,plain,
    ( join(meet(X_157,a),meet(X_157,b)) != meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))
    | meet(X_157,b) = meet(X_157,join(a,meet(X_157,b))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,b),meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))) )],[refute_0_554,refute_0_578]) ).

cnf(refute_0_580,plain,
    meet(X_157,b) = meet(X_157,join(a,meet(X_157,b))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,a),meet(X_157,b)),meet(X_157,join(meet(X_157,a),join(meet(X_157,b),a)))) )],[refute_0_540,refute_0_579]) ).

cnf(refute_0_581,plain,
    meet(X_160,b) = meet(X_160,join(a,meet(X_160,b))),
    inference(subst,[],[refute_0_580:[bind(X_157,$fot(X_160))]]) ).

cnf(refute_0_582,plain,
    meet(b,X_160) = meet(X_160,b),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(X_160))]]) ).

cnf(refute_0_583,plain,
    ( meet(b,X_160) != meet(X_160,b)
    | meet(X_160,b) = meet(b,X_160) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(b,X_160))),bind(Y0,$fot(meet(X_160,b)))]]) ).

cnf(refute_0_584,plain,
    meet(X_160,b) = meet(b,X_160),
    inference(resolve,[$cnf( $equal(meet(b,X_160),meet(X_160,b)) )],[refute_0_582,refute_0_583]) ).

cnf(refute_0_585,plain,
    ( meet(X_160,b) != meet(X_160,join(a,meet(X_160,b)))
    | meet(X_160,b) != meet(b,X_160)
    | meet(X_160,b) = meet(X_160,join(a,meet(b,X_160))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_160,b),meet(X_160,join(a,meet(X_160,b)))) ),[1,1,1],$fot(meet(b,X_160))]]) ).

cnf(refute_0_586,plain,
    ( meet(X_160,b) != meet(X_160,join(a,meet(X_160,b)))
    | meet(X_160,b) = meet(X_160,join(a,meet(b,X_160))) ),
    inference(resolve,[$cnf( $equal(meet(X_160,b),meet(b,X_160)) )],[refute_0_584,refute_0_585]) ).

cnf(refute_0_587,plain,
    meet(X_160,b) = meet(X_160,join(a,meet(b,X_160))),
    inference(resolve,[$cnf( $equal(meet(X_160,b),meet(X_160,join(a,meet(X_160,b)))) )],[refute_0_581,refute_0_586]) ).

cnf(refute_0_588,plain,
    meet(X_533,b) = meet(X_533,join(a,meet(b,X_533))),
    inference(subst,[],[refute_0_587:[bind(X_160,$fot(X_533))]]) ).

cnf(refute_0_589,plain,
    ( meet(X_533,b) != meet(X_533,join(a,meet(b,X_533)))
    | meet(X_533,join(a,meet(b,X_533))) = meet(X_533,b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_533,b))),bind(Y0,$fot(meet(X_533,join(a,meet(b,X_533)))))]]) ).

cnf(refute_0_590,plain,
    meet(X_533,join(a,meet(b,X_533))) = meet(X_533,b),
    inference(resolve,[$cnf( $equal(meet(X_533,b),meet(X_533,join(a,meet(b,X_533)))) )],[refute_0_588,refute_0_589]) ).

cnf(refute_0_591,plain,
    ( meet(X_533,join(a,meet(b,X_533))) != meet(X_533,b)
    | meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,join(a,meet(b,X_533))))) != meet(join(a,meet(b,X_533)),meet(X_532,X_533))
    | meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) = meet(join(a,meet(b,X_533)),meet(X_532,X_533)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,join(a,meet(b,X_533))))),meet(join(a,meet(b,X_533)),meet(X_532,X_533))) ),[0,1,1],$fot(meet(X_533,b))]]) ).

cnf(refute_0_592,plain,
    ( meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,join(a,meet(b,X_533))))) != meet(join(a,meet(b,X_533)),meet(X_532,X_533))
    | meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) = meet(join(a,meet(b,X_533)),meet(X_532,X_533)) ),
    inference(resolve,[$cnf( $equal(meet(X_533,join(a,meet(b,X_533))),meet(X_533,b)) )],[refute_0_590,refute_0_591]) ).

cnf(refute_0_593,plain,
    meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) = meet(join(a,meet(b,X_533)),meet(X_532,X_533)),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,join(a,meet(b,X_533))))),meet(join(a,meet(b,X_533)),meet(X_532,X_533))) )],[refute_0_527,refute_0_592]) ).

cnf(refute_0_594,plain,
    meet(X_43,meet(X_15,meet(X_453,X_451))) = meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451)))),
    inference(subst,[],[refute_0_82:[bind(X_45,$fot(meet(X_453,X_451)))]]) ).

cnf(refute_0_595,plain,
    meet(meet(X_288,X_289),Y) = meet(Y,meet(X_288,X_289)),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(meet(X_288,X_289)))]]) ).

cnf(refute_0_596,plain,
    meet(Y,meet(X_288,X_289)) = meet(Y,meet(X_289,X_288)),
    inference(subst,[],[refute_0_415:[bind(X_43,$fot(Y)),bind(X_44,$fot(X_288)),bind(X_45,$fot(X_289))]]) ).

cnf(refute_0_597,plain,
    ( meet(Y,meet(X_288,X_289)) != meet(Y,meet(X_289,X_288))
    | meet(meet(X_288,X_289),Y) != meet(Y,meet(X_288,X_289))
    | meet(meet(X_288,X_289),Y) = meet(Y,meet(X_289,X_288)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_288,X_289),Y),meet(Y,meet(X_288,X_289))) ),[1],$fot(meet(Y,meet(X_289,X_288)))]]) ).

cnf(refute_0_598,plain,
    ( meet(meet(X_288,X_289),Y) != meet(Y,meet(X_288,X_289))
    | meet(meet(X_288,X_289),Y) = meet(Y,meet(X_289,X_288)) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_288,X_289)),meet(Y,meet(X_289,X_288))) )],[refute_0_596,refute_0_597]) ).

cnf(refute_0_599,plain,
    meet(meet(X_288,X_289),Y) = meet(Y,meet(X_289,X_288)),
    inference(resolve,[$cnf( $equal(meet(meet(X_288,X_289),Y),meet(Y,meet(X_288,X_289))) )],[refute_0_595,refute_0_598]) ).

cnf(refute_0_600,plain,
    meet(meet(X_288,X_289),Y) = meet(X_288,meet(X_289,Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_288)),bind(Y,$fot(X_289)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_601,plain,
    ( meet(meet(X_288,X_289),Y) != meet(Y,meet(X_289,X_288))
    | meet(meet(X_288,X_289),Y) != meet(X_288,meet(X_289,Y))
    | meet(X_288,meet(X_289,Y)) = meet(Y,meet(X_289,X_288)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_288,X_289),Y),meet(Y,meet(X_289,X_288))) ),[0],$fot(meet(X_288,meet(X_289,Y)))]]) ).

cnf(refute_0_602,plain,
    ( meet(meet(X_288,X_289),Y) != meet(Y,meet(X_289,X_288))
    | meet(X_288,meet(X_289,Y)) = meet(Y,meet(X_289,X_288)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_288,X_289),Y),meet(X_288,meet(X_289,Y))) )],[refute_0_600,refute_0_601]) ).

cnf(refute_0_603,plain,
    meet(X_288,meet(X_289,Y)) = meet(Y,meet(X_289,X_288)),
    inference(resolve,[$cnf( $equal(meet(meet(X_288,X_289),Y),meet(Y,meet(X_289,X_288))) )],[refute_0_599,refute_0_602]) ).

cnf(refute_0_604,plain,
    meet(X_15,meet(X_453,X_451)) = meet(X_451,meet(X_453,X_15)),
    inference(subst,[],[refute_0_603:[bind(Y,$fot(X_451)),bind(X_288,$fot(X_15)),bind(X_289,$fot(X_453))]]) ).

cnf(refute_0_605,plain,
    ( meet(X_15,meet(X_453,X_451)) != meet(X_451,meet(X_453,X_15))
    | meet(X_43,meet(X_15,meet(X_453,X_451))) != meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451))))
    | meet(X_43,meet(X_451,meet(X_453,X_15))) = meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(X_15,meet(X_453,X_451))),meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451))))) ),[0,1],$fot(meet(X_451,meet(X_453,X_15)))]]) ).

cnf(refute_0_606,plain,
    ( meet(X_43,meet(X_15,meet(X_453,X_451))) != meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451))))
    | meet(X_43,meet(X_451,meet(X_453,X_15))) = meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451)))) ),
    inference(resolve,[$cnf( $equal(meet(X_15,meet(X_453,X_451)),meet(X_451,meet(X_453,X_15))) )],[refute_0_604,refute_0_605]) ).

cnf(refute_0_607,plain,
    meet(X_43,meet(X_451,meet(X_453,X_15))) = meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451)))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,meet(X_453,X_451))),meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451))))) )],[refute_0_594,refute_0_606]) ).

cnf(refute_0_608,plain,
    meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451)))) = meet(X_43,meet(X_15,meet(X_453,X_451))),
    inference(subst,[],[refute_0_84:[bind(X_45,$fot(meet(X_453,X_451)))]]) ).

cnf(refute_0_609,plain,
    ( meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451)))) != meet(X_43,meet(X_15,meet(X_453,X_451)))
    | meet(X_43,meet(X_451,meet(X_453,X_15))) != meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451))))
    | meet(X_43,meet(X_451,meet(X_453,X_15))) = meet(X_43,meet(X_15,meet(X_453,X_451))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(X_451,meet(X_453,X_15))),meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451))))) ),[1],$fot(meet(X_43,meet(X_15,meet(X_453,X_451))))]]) ).

cnf(refute_0_610,plain,
    ( meet(X_43,meet(X_451,meet(X_453,X_15))) != meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451))))
    | meet(X_43,meet(X_451,meet(X_453,X_15))) = meet(X_43,meet(X_15,meet(X_453,X_451))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451)))),meet(X_43,meet(X_15,meet(X_453,X_451)))) )],[refute_0_608,refute_0_609]) ).

cnf(refute_0_611,plain,
    meet(X_43,meet(X_451,meet(X_453,X_15))) = meet(X_43,meet(X_15,meet(X_453,X_451))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_451,meet(X_453,X_15))),meet(X_43,meet(X_15,meet(X_43,meet(X_453,X_451))))) )],[refute_0_607,refute_0_610]) ).

cnf(refute_0_612,plain,
    ( meet(X_43,meet(X_451,meet(X_453,X_15))) != meet(X_43,meet(X_15,meet(X_453,X_451)))
    | meet(X_43,meet(X_15,meet(X_453,X_451))) = meet(X_43,meet(X_451,meet(X_453,X_15))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_43,meet(X_451,meet(X_453,X_15))))),bind(Y0,$fot(meet(X_43,meet(X_15,meet(X_453,X_451)))))]]) ).

cnf(refute_0_613,plain,
    meet(X_43,meet(X_15,meet(X_453,X_451))) = meet(X_43,meet(X_451,meet(X_453,X_15))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_451,meet(X_453,X_15))),meet(X_43,meet(X_15,meet(X_453,X_451)))) )],[refute_0_611,refute_0_612]) ).

cnf(refute_0_614,plain,
    meet(X_533,meet(join(a,meet(b,X_533)),meet(X_532,b))) = meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))),
    inference(subst,[],[refute_0_613:[bind(X_15,$fot(join(a,meet(b,X_533)))),bind(X_43,$fot(X_533)),bind(X_451,$fot(b)),bind(X_453,$fot(X_532))]]) ).

cnf(refute_0_615,plain,
    meet(meet(X,Y),meet(X_532,meet(X_533,Y))) = meet(X,meet(Y,meet(X_532,meet(X_533,Y)))),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(meet(X_532,meet(X_533,Y))))]]) ).

cnf(refute_0_616,plain,
    meet(Y,meet(X_532,meet(X_533,Y))) = meet(Y,meet(X_532,X_533)),
    inference(subst,[],[refute_0_526:[bind(X_10,$fot(Y)),bind(X_43,$fot(X_532)),bind(X_44,$fot(X_533))]]) ).

cnf(refute_0_617,plain,
    ( meet(Y,meet(X_532,meet(X_533,Y))) != meet(Y,meet(X_532,X_533))
    | meet(meet(X,Y),meet(X_532,meet(X_533,Y))) != meet(X,meet(Y,meet(X_532,meet(X_533,Y))))
    | meet(meet(X,Y),meet(X_532,meet(X_533,Y))) = meet(X,meet(Y,meet(X_532,X_533))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),meet(X_532,meet(X_533,Y))),meet(X,meet(Y,meet(X_532,meet(X_533,Y))))) ),[1,1],$fot(meet(Y,meet(X_532,X_533)))]]) ).

cnf(refute_0_618,plain,
    ( meet(meet(X,Y),meet(X_532,meet(X_533,Y))) != meet(X,meet(Y,meet(X_532,meet(X_533,Y))))
    | meet(meet(X,Y),meet(X_532,meet(X_533,Y))) = meet(X,meet(Y,meet(X_532,X_533))) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_532,meet(X_533,Y))),meet(Y,meet(X_532,X_533))) )],[refute_0_616,refute_0_617]) ).

cnf(refute_0_619,plain,
    meet(meet(X,Y),meet(X_532,meet(X_533,Y))) = meet(X,meet(Y,meet(X_532,X_533))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(X_532,meet(X_533,Y))),meet(X,meet(Y,meet(X_532,meet(X_533,Y))))) )],[refute_0_615,refute_0_618]) ).

cnf(refute_0_620,plain,
    meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) = meet(X_43,meet(X_15,meet(X_43,meet(X_274,meet(X_43,X_276))))),
    inference(subst,[],[refute_0_82:[bind(X_45,$fot(meet(X_274,meet(X_43,X_276))))]]) ).

cnf(refute_0_621,plain,
    meet(X_43,meet(X_274,X_276)) = meet(X_43,meet(X_274,meet(X_43,X_276))),
    inference(subst,[],[refute_0_82:[bind(X_15,$fot(X_274)),bind(X_45,$fot(X_276))]]) ).

cnf(refute_0_622,plain,
    ( meet(X_43,meet(X_274,X_276)) != meet(X_43,meet(X_274,meet(X_43,X_276)))
    | meet(X_43,meet(X_274,meet(X_43,X_276))) = meet(X_43,meet(X_274,X_276)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_43,meet(X_274,X_276)))),bind(Y0,$fot(meet(X_43,meet(X_274,meet(X_43,X_276)))))]]) ).

cnf(refute_0_623,plain,
    meet(X_43,meet(X_274,meet(X_43,X_276))) = meet(X_43,meet(X_274,X_276)),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_274,X_276)),meet(X_43,meet(X_274,meet(X_43,X_276)))) )],[refute_0_621,refute_0_622]) ).

cnf(refute_0_624,plain,
    ( meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) != meet(X_43,meet(X_15,meet(X_43,meet(X_274,meet(X_43,X_276)))))
    | meet(X_43,meet(X_274,meet(X_43,X_276))) != meet(X_43,meet(X_274,X_276))
    | meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) = meet(X_43,meet(X_15,meet(X_43,meet(X_274,X_276)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))),meet(X_43,meet(X_15,meet(X_43,meet(X_274,meet(X_43,X_276)))))) ),[1,1,1],$fot(meet(X_43,meet(X_274,X_276)))]]) ).

cnf(refute_0_625,plain,
    ( meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) != meet(X_43,meet(X_15,meet(X_43,meet(X_274,meet(X_43,X_276)))))
    | meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) = meet(X_43,meet(X_15,meet(X_43,meet(X_274,X_276)))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_274,meet(X_43,X_276))),meet(X_43,meet(X_274,X_276))) )],[refute_0_623,refute_0_624]) ).

cnf(refute_0_626,plain,
    meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) = meet(X_43,meet(X_15,meet(X_43,meet(X_274,X_276)))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))),meet(X_43,meet(X_15,meet(X_43,meet(X_274,meet(X_43,X_276)))))) )],[refute_0_620,refute_0_625]) ).

cnf(refute_0_627,plain,
    meet(X_43,meet(X_15,meet(X_43,meet(X_274,X_276)))) = meet(X_43,meet(X_15,meet(X_274,X_276))),
    inference(subst,[],[refute_0_84:[bind(X_45,$fot(meet(X_274,X_276)))]]) ).

cnf(refute_0_628,plain,
    ( meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) != meet(X_43,meet(X_15,meet(X_43,meet(X_274,X_276))))
    | meet(X_43,meet(X_15,meet(X_43,meet(X_274,X_276)))) != meet(X_43,meet(X_15,meet(X_274,X_276)))
    | meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) = meet(X_43,meet(X_15,meet(X_274,X_276))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))),meet(X_43,meet(X_15,meet(X_274,X_276)))) ),[0],$fot(meet(X_43,meet(X_15,meet(X_43,meet(X_274,X_276)))))]]) ).

cnf(refute_0_629,plain,
    ( meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) != meet(X_43,meet(X_15,meet(X_43,meet(X_274,X_276))))
    | meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) = meet(X_43,meet(X_15,meet(X_274,X_276))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,meet(X_43,meet(X_274,X_276)))),meet(X_43,meet(X_15,meet(X_274,X_276)))) )],[refute_0_627,refute_0_628]) ).

cnf(refute_0_630,plain,
    meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))) = meet(X_43,meet(X_15,meet(X_274,X_276))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,meet(X_274,meet(X_43,X_276)))),meet(X_43,meet(X_15,meet(X_43,meet(X_274,X_276))))) )],[refute_0_626,refute_0_629]) ).

cnf(refute_0_631,plain,
    meet(Y,meet(X_532,meet(X,meet(Y,X_533)))) = meet(Y,meet(X_532,meet(X,X_533))),
    inference(subst,[],[refute_0_630:[bind(X_15,$fot(X_532)),bind(X_274,$fot(X)),bind(X_276,$fot(X_533)),bind(X_43,$fot(Y))]]) ).

cnf(refute_0_632,plain,
    meet(meet(X,Y),X_533) = meet(X,meet(Y,X_533)),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(X_533))]]) ).

cnf(refute_0_633,plain,
    meet(X_532,meet(meet(X,Y),X_533)) = meet(X_532,meet(meet(X,Y),X_533)),
    introduced(tautology,[refl,[$fot(meet(X_532,meet(meet(X,Y),X_533)))]]) ).

cnf(refute_0_634,plain,
    ( meet(X_532,meet(meet(X,Y),X_533)) != meet(X_532,meet(meet(X,Y),X_533))
    | meet(meet(X,Y),X_533) != meet(X,meet(Y,X_533))
    | meet(X_532,meet(meet(X,Y),X_533)) = meet(X_532,meet(X,meet(Y,X_533))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_532,meet(meet(X,Y),X_533)),meet(X_532,meet(meet(X,Y),X_533))) ),[1,1],$fot(meet(X,meet(Y,X_533)))]]) ).

cnf(refute_0_635,plain,
    ( meet(meet(X,Y),X_533) != meet(X,meet(Y,X_533))
    | meet(X_532,meet(meet(X,Y),X_533)) = meet(X_532,meet(X,meet(Y,X_533))) ),
    inference(resolve,[$cnf( $equal(meet(X_532,meet(meet(X,Y),X_533)),meet(X_532,meet(meet(X,Y),X_533))) )],[refute_0_633,refute_0_634]) ).

cnf(refute_0_636,plain,
    meet(X_532,meet(meet(X,Y),X_533)) = meet(X_532,meet(X,meet(Y,X_533))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_533),meet(X,meet(Y,X_533))) )],[refute_0_632,refute_0_635]) ).

cnf(refute_0_637,plain,
    meet(Y,meet(X_532,meet(meet(X,Y),X_533))) = meet(Y,meet(X_532,meet(meet(X,Y),X_533))),
    introduced(tautology,[refl,[$fot(meet(Y,meet(X_532,meet(meet(X,Y),X_533))))]]) ).

cnf(refute_0_638,plain,
    ( meet(Y,meet(X_532,meet(meet(X,Y),X_533))) != meet(Y,meet(X_532,meet(meet(X,Y),X_533)))
    | meet(X_532,meet(meet(X,Y),X_533)) != meet(X_532,meet(X,meet(Y,X_533)))
    | meet(Y,meet(X_532,meet(meet(X,Y),X_533))) = meet(Y,meet(X_532,meet(X,meet(Y,X_533)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(Y,meet(X_532,meet(meet(X,Y),X_533))),meet(Y,meet(X_532,meet(meet(X,Y),X_533)))) ),[1,1],$fot(meet(X_532,meet(X,meet(Y,X_533))))]]) ).

cnf(refute_0_639,plain,
    ( meet(X_532,meet(meet(X,Y),X_533)) != meet(X_532,meet(X,meet(Y,X_533)))
    | meet(Y,meet(X_532,meet(meet(X,Y),X_533))) = meet(Y,meet(X_532,meet(X,meet(Y,X_533)))) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_532,meet(meet(X,Y),X_533))),meet(Y,meet(X_532,meet(meet(X,Y),X_533)))) )],[refute_0_637,refute_0_638]) ).

cnf(refute_0_640,plain,
    meet(Y,meet(X_532,meet(meet(X,Y),X_533))) = meet(Y,meet(X_532,meet(X,meet(Y,X_533)))),
    inference(resolve,[$cnf( $equal(meet(X_532,meet(meet(X,Y),X_533)),meet(X_532,meet(X,meet(Y,X_533)))) )],[refute_0_636,refute_0_639]) ).

cnf(refute_0_641,plain,
    ( meet(Y,meet(X_532,meet(X,meet(Y,X_533)))) != meet(Y,meet(X_532,meet(X,X_533)))
    | meet(Y,meet(X_532,meet(meet(X,Y),X_533))) != meet(Y,meet(X_532,meet(X,meet(Y,X_533))))
    | meet(Y,meet(X_532,meet(meet(X,Y),X_533))) = meet(Y,meet(X_532,meet(X,X_533))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(Y,meet(X_532,meet(meet(X,Y),X_533))))),bind(Y0,$fot(meet(Y,meet(X_532,meet(X,meet(Y,X_533)))))),bind(Z0,$fot(meet(Y,meet(X_532,meet(X,X_533)))))]]) ).

cnf(refute_0_642,plain,
    ( meet(Y,meet(X_532,meet(X,meet(Y,X_533)))) != meet(Y,meet(X_532,meet(X,X_533)))
    | meet(Y,meet(X_532,meet(meet(X,Y),X_533))) = meet(Y,meet(X_532,meet(X,X_533))) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_532,meet(meet(X,Y),X_533))),meet(Y,meet(X_532,meet(X,meet(Y,X_533))))) )],[refute_0_640,refute_0_641]) ).

cnf(refute_0_643,plain,
    meet(Y,meet(X_532,meet(meet(X,Y),X_533))) = meet(Y,meet(X_532,meet(X,X_533))),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_532,meet(X,meet(Y,X_533)))),meet(Y,meet(X_532,meet(X,X_533)))) )],[refute_0_631,refute_0_642]) ).

cnf(refute_0_644,plain,
    meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))) = meet(X_43,meet(X_44,meet(X_532,meet(X_533,X_44)))),
    inference(subst,[],[refute_0_428:[bind(X_45,$fot(meet(X_532,meet(X_533,X_44))))]]) ).

cnf(refute_0_645,plain,
    meet(X_44,meet(X_532,meet(X_533,X_44))) = meet(X_44,meet(X_532,X_533)),
    inference(subst,[],[refute_0_526:[bind(X_10,$fot(X_44)),bind(X_43,$fot(X_532)),bind(X_44,$fot(X_533))]]) ).

cnf(refute_0_646,plain,
    ( meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))) != meet(X_43,meet(X_44,meet(X_532,meet(X_533,X_44))))
    | meet(X_44,meet(X_532,meet(X_533,X_44))) != meet(X_44,meet(X_532,X_533))
    | meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))) = meet(X_43,meet(X_44,meet(X_532,X_533))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))),meet(X_43,meet(X_44,meet(X_532,meet(X_533,X_44))))) ),[1,1],$fot(meet(X_44,meet(X_532,X_533)))]]) ).

cnf(refute_0_647,plain,
    ( meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))) != meet(X_43,meet(X_44,meet(X_532,meet(X_533,X_44))))
    | meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))) = meet(X_43,meet(X_44,meet(X_532,X_533))) ),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_532,meet(X_533,X_44))),meet(X_44,meet(X_532,X_533))) )],[refute_0_645,refute_0_646]) ).

cnf(refute_0_648,plain,
    meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))) = meet(X_43,meet(X_44,meet(X_532,X_533))),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))),meet(X_43,meet(X_44,meet(X_532,meet(X_533,X_44))))) )],[refute_0_644,refute_0_647]) ).

cnf(refute_0_649,plain,
    meet(meet(X,Y),meet(X_274,meet(Y,X_276))) = meet(X,meet(Y,meet(X_274,meet(Y,X_276)))),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(meet(X_274,meet(Y,X_276))))]]) ).

cnf(refute_0_650,plain,
    meet(Y,meet(X_274,X_276)) = meet(Y,meet(X_274,meet(Y,X_276))),
    inference(subst,[],[refute_0_82:[bind(X_15,$fot(X_274)),bind(X_43,$fot(Y)),bind(X_45,$fot(X_276))]]) ).

cnf(refute_0_651,plain,
    ( meet(Y,meet(X_274,X_276)) != meet(Y,meet(X_274,meet(Y,X_276)))
    | meet(Y,meet(X_274,meet(Y,X_276))) = meet(Y,meet(X_274,X_276)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(Y,meet(X_274,X_276)))),bind(Y0,$fot(meet(Y,meet(X_274,meet(Y,X_276)))))]]) ).

cnf(refute_0_652,plain,
    meet(Y,meet(X_274,meet(Y,X_276))) = meet(Y,meet(X_274,X_276)),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_274,X_276)),meet(Y,meet(X_274,meet(Y,X_276)))) )],[refute_0_650,refute_0_651]) ).

cnf(refute_0_653,plain,
    ( meet(Y,meet(X_274,meet(Y,X_276))) != meet(Y,meet(X_274,X_276))
    | meet(meet(X,Y),meet(X_274,meet(Y,X_276))) != meet(X,meet(Y,meet(X_274,meet(Y,X_276))))
    | meet(meet(X,Y),meet(X_274,meet(Y,X_276))) = meet(X,meet(Y,meet(X_274,X_276))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),meet(X_274,meet(Y,X_276))),meet(X,meet(Y,meet(X_274,meet(Y,X_276))))) ),[1,1],$fot(meet(Y,meet(X_274,X_276)))]]) ).

cnf(refute_0_654,plain,
    ( meet(meet(X,Y),meet(X_274,meet(Y,X_276))) != meet(X,meet(Y,meet(X_274,meet(Y,X_276))))
    | meet(meet(X,Y),meet(X_274,meet(Y,X_276))) = meet(X,meet(Y,meet(X_274,X_276))) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_274,meet(Y,X_276))),meet(Y,meet(X_274,X_276))) )],[refute_0_652,refute_0_653]) ).

cnf(refute_0_655,plain,
    meet(meet(X,Y),meet(X_274,meet(Y,X_276))) = meet(X,meet(Y,meet(X_274,X_276))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(X_274,meet(Y,X_276))),meet(X,meet(Y,meet(X_274,meet(Y,X_276))))) )],[refute_0_649,refute_0_654]) ).

cnf(refute_0_656,plain,
    meet(X,meet(X_43,meet(X_144,X_146))) = meet(X_43,meet(meet(X_144,X_146),X)),
    inference(subst,[],[refute_0_59:[bind(X_44,$fot(meet(X_144,X_146)))]]) ).

cnf(refute_0_657,plain,
    meet(X_43,meet(X_144,X_146)) = meet(X_144,meet(X_43,X_146)),
    inference(subst,[],[refute_0_428:[bind(X_43,$fot(X_144)),bind(X_44,$fot(X_43)),bind(X_45,$fot(X_146))]]) ).

cnf(refute_0_658,plain,
    ( meet(X,meet(X_43,meet(X_144,X_146))) != meet(X_43,meet(meet(X_144,X_146),X))
    | meet(X_43,meet(X_144,X_146)) != meet(X_144,meet(X_43,X_146))
    | meet(X,meet(X_144,meet(X_43,X_146))) = meet(X_43,meet(meet(X_144,X_146),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(X_43,meet(X_144,X_146))),meet(X_43,meet(meet(X_144,X_146),X))) ),[0,1],$fot(meet(X_144,meet(X_43,X_146)))]]) ).

cnf(refute_0_659,plain,
    ( meet(X,meet(X_43,meet(X_144,X_146))) != meet(X_43,meet(meet(X_144,X_146),X))
    | meet(X,meet(X_144,meet(X_43,X_146))) = meet(X_43,meet(meet(X_144,X_146),X)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_144,X_146)),meet(X_144,meet(X_43,X_146))) )],[refute_0_657,refute_0_658]) ).

cnf(refute_0_660,plain,
    meet(X,meet(X_144,meet(X_43,X_146))) = meet(X_43,meet(meet(X_144,X_146),X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_43,meet(X_144,X_146))),meet(X_43,meet(meet(X_144,X_146),X))) )],[refute_0_656,refute_0_659]) ).

cnf(refute_0_661,plain,
    meet(meet(X_144,X_146),X) = meet(X_144,meet(X_146,X)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_144)),bind(Y,$fot(X_146)),bind(Z,$fot(X))]]) ).

cnf(refute_0_662,plain,
    meet(X_43,meet(meet(X_144,X_146),X)) = meet(X_43,meet(meet(X_144,X_146),X)),
    introduced(tautology,[refl,[$fot(meet(X_43,meet(meet(X_144,X_146),X)))]]) ).

cnf(refute_0_663,plain,
    ( meet(X_43,meet(meet(X_144,X_146),X)) != meet(X_43,meet(meet(X_144,X_146),X))
    | meet(meet(X_144,X_146),X) != meet(X_144,meet(X_146,X))
    | meet(X_43,meet(meet(X_144,X_146),X)) = meet(X_43,meet(X_144,meet(X_146,X))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(meet(X_144,X_146),X)),meet(X_43,meet(meet(X_144,X_146),X))) ),[1,1],$fot(meet(X_144,meet(X_146,X)))]]) ).

cnf(refute_0_664,plain,
    ( meet(meet(X_144,X_146),X) != meet(X_144,meet(X_146,X))
    | meet(X_43,meet(meet(X_144,X_146),X)) = meet(X_43,meet(X_144,meet(X_146,X))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(meet(X_144,X_146),X)),meet(X_43,meet(meet(X_144,X_146),X))) )],[refute_0_662,refute_0_663]) ).

cnf(refute_0_665,plain,
    meet(X_43,meet(meet(X_144,X_146),X)) = meet(X_43,meet(X_144,meet(X_146,X))),
    inference(resolve,[$cnf( $equal(meet(meet(X_144,X_146),X),meet(X_144,meet(X_146,X))) )],[refute_0_661,refute_0_664]) ).

cnf(refute_0_666,plain,
    ( meet(X,meet(X_144,meet(X_43,X_146))) != meet(X_43,meet(meet(X_144,X_146),X))
    | meet(X_43,meet(meet(X_144,X_146),X)) != meet(X_43,meet(X_144,meet(X_146,X)))
    | meet(X,meet(X_144,meet(X_43,X_146))) = meet(X_43,meet(X_144,meet(X_146,X))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X,meet(X_144,meet(X_43,X_146))),meet(X_43,meet(X_144,meet(X_146,X)))) ),[0],$fot(meet(X_43,meet(meet(X_144,X_146),X)))]]) ).

cnf(refute_0_667,plain,
    ( meet(X,meet(X_144,meet(X_43,X_146))) != meet(X_43,meet(meet(X_144,X_146),X))
    | meet(X,meet(X_144,meet(X_43,X_146))) = meet(X_43,meet(X_144,meet(X_146,X))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(meet(X_144,X_146),X)),meet(X_43,meet(X_144,meet(X_146,X)))) )],[refute_0_665,refute_0_666]) ).

cnf(refute_0_668,plain,
    meet(X,meet(X_144,meet(X_43,X_146))) = meet(X_43,meet(X_144,meet(X_146,X))),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_144,meet(X_43,X_146))),meet(X_43,meet(meet(X_144,X_146),X))) )],[refute_0_660,refute_0_667]) ).

cnf(refute_0_669,plain,
    meet(meet(X,Y),meet(X_274,meet(Y,X_276))) = meet(Y,meet(X_274,meet(X_276,meet(X,Y)))),
    inference(subst,[],[refute_0_668:[bind(X,$fot(meet(X,Y))),bind(X_144,$fot(X_274)),bind(X_146,$fot(X_276)),bind(X_43,$fot(Y))]]) ).

cnf(refute_0_670,plain,
    ( meet(meet(X,Y),meet(X_274,meet(Y,X_276))) != meet(X,meet(Y,meet(X_274,X_276)))
    | meet(meet(X,Y),meet(X_274,meet(Y,X_276))) != meet(Y,meet(X_274,meet(X_276,meet(X,Y))))
    | meet(Y,meet(X_274,meet(X_276,meet(X,Y)))) = meet(X,meet(Y,meet(X_274,X_276))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),meet(X_274,meet(Y,X_276))),meet(X,meet(Y,meet(X_274,X_276)))) ),[0],$fot(meet(Y,meet(X_274,meet(X_276,meet(X,Y)))))]]) ).

cnf(refute_0_671,plain,
    ( meet(meet(X,Y),meet(X_274,meet(Y,X_276))) != meet(X,meet(Y,meet(X_274,X_276)))
    | meet(Y,meet(X_274,meet(X_276,meet(X,Y)))) = meet(X,meet(Y,meet(X_274,X_276))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(X_274,meet(Y,X_276))),meet(Y,meet(X_274,meet(X_276,meet(X,Y))))) )],[refute_0_669,refute_0_670]) ).

cnf(refute_0_672,plain,
    meet(Y,meet(X_274,meet(X_276,meet(X,Y)))) = meet(X,meet(Y,meet(X_274,X_276))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(X_274,meet(Y,X_276))),meet(X,meet(Y,meet(X_274,X_276)))) )],[refute_0_655,refute_0_671]) ).

cnf(refute_0_673,plain,
    meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))) = meet(X_533,meet(X_44,meet(X_43,X_532))),
    inference(subst,[],[refute_0_672:[bind(X,$fot(X_533)),bind(Y,$fot(X_44)),bind(X_274,$fot(X_43)),bind(X_276,$fot(X_532))]]) ).

cnf(refute_0_674,plain,
    ( meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))) != meet(X_43,meet(X_44,meet(X_532,X_533)))
    | meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))) != meet(X_533,meet(X_44,meet(X_43,X_532)))
    | meet(X_533,meet(X_44,meet(X_43,X_532))) = meet(X_43,meet(X_44,meet(X_532,X_533))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))),meet(X_43,meet(X_44,meet(X_532,X_533)))) ),[0],$fot(meet(X_533,meet(X_44,meet(X_43,X_532))))]]) ).

cnf(refute_0_675,plain,
    ( meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))) != meet(X_43,meet(X_44,meet(X_532,X_533)))
    | meet(X_533,meet(X_44,meet(X_43,X_532))) = meet(X_43,meet(X_44,meet(X_532,X_533))) ),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))),meet(X_533,meet(X_44,meet(X_43,X_532)))) )],[refute_0_673,refute_0_674]) ).

cnf(refute_0_676,plain,
    meet(X_533,meet(X_44,meet(X_43,X_532))) = meet(X_43,meet(X_44,meet(X_532,X_533))),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_43,meet(X_532,meet(X_533,X_44)))),meet(X_43,meet(X_44,meet(X_532,X_533)))) )],[refute_0_648,refute_0_675]) ).

cnf(refute_0_677,plain,
    ( meet(X_533,meet(X_44,meet(X_43,X_532))) != meet(X_43,meet(X_44,meet(X_532,X_533)))
    | meet(X_43,meet(X_44,meet(X_532,X_533))) = meet(X_533,meet(X_44,meet(X_43,X_532))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_533,meet(X_44,meet(X_43,X_532))))),bind(Y0,$fot(meet(X_43,meet(X_44,meet(X_532,X_533)))))]]) ).

cnf(refute_0_678,plain,
    meet(X_43,meet(X_44,meet(X_532,X_533))) = meet(X_533,meet(X_44,meet(X_43,X_532))),
    inference(resolve,[$cnf( $equal(meet(X_533,meet(X_44,meet(X_43,X_532))),meet(X_43,meet(X_44,meet(X_532,X_533)))) )],[refute_0_676,refute_0_677]) ).

cnf(refute_0_679,plain,
    meet(meet(X,Y),meet(X_532,meet(X_533,Y))) = meet(Y,meet(X_532,meet(meet(X,Y),X_533))),
    inference(subst,[],[refute_0_678:[bind(X_43,$fot(meet(X,Y))),bind(X_44,$fot(X_532)),bind(X_532,$fot(X_533)),bind(X_533,$fot(Y))]]) ).

cnf(refute_0_680,plain,
    ( meet(Y,meet(X_532,meet(meet(X,Y),X_533))) != meet(Y,meet(X_532,meet(X,X_533)))
    | meet(meet(X,Y),meet(X_532,meet(X_533,Y))) != meet(Y,meet(X_532,meet(meet(X,Y),X_533)))
    | meet(meet(X,Y),meet(X_532,meet(X_533,Y))) = meet(Y,meet(X_532,meet(X,X_533))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X,Y),meet(X_532,meet(X_533,Y))))),bind(Y0,$fot(meet(Y,meet(X_532,meet(meet(X,Y),X_533))))),bind(Z0,$fot(meet(Y,meet(X_532,meet(X,X_533)))))]]) ).

cnf(refute_0_681,plain,
    ( meet(Y,meet(X_532,meet(meet(X,Y),X_533))) != meet(Y,meet(X_532,meet(X,X_533)))
    | meet(meet(X,Y),meet(X_532,meet(X_533,Y))) = meet(Y,meet(X_532,meet(X,X_533))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(X_532,meet(X_533,Y))),meet(Y,meet(X_532,meet(meet(X,Y),X_533)))) )],[refute_0_679,refute_0_680]) ).

cnf(refute_0_682,plain,
    meet(meet(X,Y),meet(X_532,meet(X_533,Y))) = meet(Y,meet(X_532,meet(X,X_533))),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_532,meet(meet(X,Y),X_533))),meet(Y,meet(X_532,meet(X,X_533)))) )],[refute_0_643,refute_0_681]) ).

cnf(refute_0_683,plain,
    ( meet(meet(X,Y),meet(X_532,meet(X_533,Y))) != meet(X,meet(Y,meet(X_532,X_533)))
    | meet(meet(X,Y),meet(X_532,meet(X_533,Y))) != meet(Y,meet(X_532,meet(X,X_533)))
    | meet(Y,meet(X_532,meet(X,X_533))) = meet(X,meet(Y,meet(X_532,X_533))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),meet(X_532,meet(X_533,Y))),meet(X,meet(Y,meet(X_532,X_533)))) ),[0],$fot(meet(Y,meet(X_532,meet(X,X_533))))]]) ).

cnf(refute_0_684,plain,
    ( meet(meet(X,Y),meet(X_532,meet(X_533,Y))) != meet(X,meet(Y,meet(X_532,X_533)))
    | meet(Y,meet(X_532,meet(X,X_533))) = meet(X,meet(Y,meet(X_532,X_533))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(X_532,meet(X_533,Y))),meet(Y,meet(X_532,meet(X,X_533)))) )],[refute_0_682,refute_0_683]) ).

cnf(refute_0_685,plain,
    meet(Y,meet(X_532,meet(X,X_533))) = meet(X,meet(Y,meet(X_532,X_533))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(X_532,meet(X_533,Y))),meet(X,meet(Y,meet(X_532,X_533)))) )],[refute_0_619,refute_0_684]) ).

cnf(refute_0_686,plain,
    meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) = meet(X_533,meet(join(a,meet(b,X_533)),meet(X_532,b))),
    inference(subst,[],[refute_0_685:[bind(X,$fot(X_533)),bind(Y,$fot(join(a,meet(b,X_533)))),bind(X_533,$fot(b))]]) ).

cnf(refute_0_687,plain,
    ( meet(X_533,meet(join(a,meet(b,X_533)),meet(X_532,b))) != meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533)))))
    | meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) != meet(X_533,meet(join(a,meet(b,X_533)),meet(X_532,b)))
    | meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) = meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))))),bind(Y0,$fot(meet(X_533,meet(join(a,meet(b,X_533)),meet(X_532,b))))),bind(Z0,$fot(meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533)))))))]]) ).

cnf(refute_0_688,plain,
    ( meet(X_533,meet(join(a,meet(b,X_533)),meet(X_532,b))) != meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533)))))
    | meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) = meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))),meet(X_533,meet(join(a,meet(b,X_533)),meet(X_532,b)))) )],[refute_0_686,refute_0_687]) ).

cnf(refute_0_689,plain,
    meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) = meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))),
    inference(resolve,[$cnf( $equal(meet(X_533,meet(join(a,meet(b,X_533)),meet(X_532,b))),meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533)))))) )],[refute_0_614,refute_0_688]) ).

cnf(refute_0_690,plain,
    ( meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) != meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533)))))
    | meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) != meet(join(a,meet(b,X_533)),meet(X_532,X_533))
    | meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))) = meet(join(a,meet(b,X_533)),meet(X_532,X_533)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))),meet(join(a,meet(b,X_533)),meet(X_532,X_533))) ),[0],$fot(meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))))]]) ).

cnf(refute_0_691,plain,
    ( meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) != meet(join(a,meet(b,X_533)),meet(X_532,X_533))
    | meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))) = meet(join(a,meet(b,X_533)),meet(X_532,X_533)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))),meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533)))))) )],[refute_0_689,refute_0_690]) ).

cnf(refute_0_692,plain,
    meet(X_44,meet(X_43,join(a,meet(b,X_44)))) = meet(X_43,meet(X_44,join(a,meet(b,X_44)))),
    inference(subst,[],[refute_0_428:[bind(X_45,$fot(join(a,meet(b,X_44))))]]) ).

cnf(refute_0_693,plain,
    meet(X_44,b) = meet(X_44,join(a,meet(b,X_44))),
    inference(subst,[],[refute_0_587:[bind(X_160,$fot(X_44))]]) ).

cnf(refute_0_694,plain,
    ( meet(X_44,b) != meet(X_44,join(a,meet(b,X_44)))
    | meet(X_44,join(a,meet(b,X_44))) = meet(X_44,b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_44,b))),bind(Y0,$fot(meet(X_44,join(a,meet(b,X_44)))))]]) ).

cnf(refute_0_695,plain,
    meet(X_44,join(a,meet(b,X_44))) = meet(X_44,b),
    inference(resolve,[$cnf( $equal(meet(X_44,b),meet(X_44,join(a,meet(b,X_44)))) )],[refute_0_693,refute_0_694]) ).

cnf(refute_0_696,plain,
    ( meet(X_44,join(a,meet(b,X_44))) != meet(X_44,b)
    | meet(X_44,meet(X_43,join(a,meet(b,X_44)))) != meet(X_43,meet(X_44,join(a,meet(b,X_44))))
    | meet(X_44,meet(X_43,join(a,meet(b,X_44)))) = meet(X_43,meet(X_44,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_44,meet(X_43,join(a,meet(b,X_44)))),meet(X_43,meet(X_44,join(a,meet(b,X_44))))) ),[1,1],$fot(meet(X_44,b))]]) ).

cnf(refute_0_697,plain,
    ( meet(X_44,meet(X_43,join(a,meet(b,X_44)))) != meet(X_43,meet(X_44,join(a,meet(b,X_44))))
    | meet(X_44,meet(X_43,join(a,meet(b,X_44)))) = meet(X_43,meet(X_44,b)) ),
    inference(resolve,[$cnf( $equal(meet(X_44,join(a,meet(b,X_44))),meet(X_44,b)) )],[refute_0_695,refute_0_696]) ).

cnf(refute_0_698,plain,
    meet(X_44,meet(X_43,join(a,meet(b,X_44)))) = meet(X_43,meet(X_44,b)),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_43,join(a,meet(b,X_44)))),meet(X_43,meet(X_44,join(a,meet(b,X_44))))) )],[refute_0_692,refute_0_697]) ).

cnf(refute_0_699,plain,
    meet(X_533,meet(X_532,join(a,meet(b,X_533)))) = meet(X_532,meet(X_533,b)),
    inference(subst,[],[refute_0_698:[bind(X_43,$fot(X_532)),bind(X_44,$fot(X_533))]]) ).

cnf(refute_0_700,plain,
    meet(meet(X,Y),join(X_518,a)) = meet(X,meet(Y,join(X_518,a))),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(join(X_518,a)))]]) ).

cnf(refute_0_701,plain,
    meet(join(a,X_252),meet(X_274,join(X_252,b))) = meet(join(a,X_252),meet(X_274,meet(join(a,X_252),join(X_252,b)))),
    inference(subst,[],[refute_0_82:[bind(X_15,$fot(X_274)),bind(X_43,$fot(join(a,X_252))),bind(X_45,$fot(join(X_252,b)))]]) ).

cnf(refute_0_702,plain,
    meet(join(X_31,X_32),join(join(X_31,X_32),Y)) = join(X_31,X_32),
    inference(subst,[],[absorption1:[bind(X,$fot(join(X_31,X_32)))]]) ).

cnf(refute_0_703,plain,
    join(join(X_31,X_32),Y) = join(X_31,join(X_32,Y)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_31)),bind(Y,$fot(X_32)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_704,plain,
    ( join(join(X_31,X_32),Y) != join(X_31,join(X_32,Y))
    | meet(join(X_31,X_32),join(join(X_31,X_32),Y)) != join(X_31,X_32)
    | meet(join(X_31,X_32),join(X_31,join(X_32,Y))) = join(X_31,X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_31,X_32),join(join(X_31,X_32),Y)),join(X_31,X_32)) ),[0,1],$fot(join(X_31,join(X_32,Y)))]]) ).

cnf(refute_0_705,plain,
    ( meet(join(X_31,X_32),join(join(X_31,X_32),Y)) != join(X_31,X_32)
    | meet(join(X_31,X_32),join(X_31,join(X_32,Y))) = join(X_31,X_32) ),
    inference(resolve,[$cnf( $equal(join(join(X_31,X_32),Y),join(X_31,join(X_32,Y))) )],[refute_0_703,refute_0_704]) ).

cnf(refute_0_706,plain,
    meet(join(X_31,X_32),join(X_31,join(X_32,Y))) = join(X_31,X_32),
    inference(resolve,[$cnf( $equal(meet(join(X_31,X_32),join(join(X_31,X_32),Y)),join(X_31,X_32)) )],[refute_0_702,refute_0_705]) ).

cnf(refute_0_707,plain,
    meet(join(X_217,a),join(X_217,join(a,b))) = join(X_217,a),
    inference(subst,[],[refute_0_706:[bind(Y,$fot(b)),bind(X_31,$fot(X_217)),bind(X_32,$fot(a))]]) ).

cnf(refute_0_708,plain,
    ( join(a,b) != b
    | meet(join(X_217,a),join(X_217,join(a,b))) != join(X_217,a)
    | meet(join(X_217,a),join(X_217,b)) = join(X_217,a) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_217,a),join(X_217,join(a,b))),join(X_217,a)) ),[0,1,1],$fot(b)]]) ).

cnf(refute_0_709,plain,
    ( meet(join(X_217,a),join(X_217,join(a,b))) != join(X_217,a)
    | meet(join(X_217,a),join(X_217,b)) = join(X_217,a) ),
    inference(resolve,[$cnf( $equal(join(a,b),b) )],[refute_0_119,refute_0_708]) ).

cnf(refute_0_710,plain,
    meet(join(X_217,a),join(X_217,b)) = join(X_217,a),
    inference(resolve,[$cnf( $equal(meet(join(X_217,a),join(X_217,join(a,b))),join(X_217,a)) )],[refute_0_707,refute_0_709]) ).

cnf(refute_0_711,plain,
    meet(join(X_252,a),join(X_252,b)) = join(X_252,a),
    inference(subst,[],[refute_0_710:[bind(X_217,$fot(X_252))]]) ).

cnf(refute_0_712,plain,
    join(a,X_252) = join(X_252,a),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(a)),bind(Y,$fot(X_252))]]) ).

cnf(refute_0_713,plain,
    ( join(a,X_252) != join(X_252,a)
    | join(X_252,a) = join(a,X_252) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(a,X_252))),bind(Y0,$fot(join(X_252,a)))]]) ).

cnf(refute_0_714,plain,
    join(X_252,a) = join(a,X_252),
    inference(resolve,[$cnf( $equal(join(a,X_252),join(X_252,a)) )],[refute_0_712,refute_0_713]) ).

cnf(refute_0_715,plain,
    ( join(X_252,a) != join(a,X_252)
    | meet(join(X_252,a),join(X_252,b)) != join(X_252,a)
    | meet(join(a,X_252),join(X_252,b)) = join(X_252,a) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_252,a),join(X_252,b)),join(X_252,a)) ),[0,0],$fot(join(a,X_252))]]) ).

cnf(refute_0_716,plain,
    ( meet(join(X_252,a),join(X_252,b)) != join(X_252,a)
    | meet(join(a,X_252),join(X_252,b)) = join(X_252,a) ),
    inference(resolve,[$cnf( $equal(join(X_252,a),join(a,X_252)) )],[refute_0_714,refute_0_715]) ).

cnf(refute_0_717,plain,
    meet(join(a,X_252),join(X_252,b)) = join(X_252,a),
    inference(resolve,[$cnf( $equal(meet(join(X_252,a),join(X_252,b)),join(X_252,a)) )],[refute_0_711,refute_0_716]) ).

cnf(refute_0_718,plain,
    ( meet(join(a,X_252),join(X_252,b)) != join(X_252,a)
    | meet(join(a,X_252),meet(X_274,join(X_252,b))) != meet(join(a,X_252),meet(X_274,meet(join(a,X_252),join(X_252,b))))
    | meet(join(a,X_252),meet(X_274,join(X_252,b))) = meet(join(a,X_252),meet(X_274,join(X_252,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_252),meet(X_274,join(X_252,b))),meet(join(a,X_252),meet(X_274,meet(join(a,X_252),join(X_252,b))))) ),[1,1,1],$fot(join(X_252,a))]]) ).

cnf(refute_0_719,plain,
    ( meet(join(a,X_252),meet(X_274,join(X_252,b))) != meet(join(a,X_252),meet(X_274,meet(join(a,X_252),join(X_252,b))))
    | meet(join(a,X_252),meet(X_274,join(X_252,b))) = meet(join(a,X_252),meet(X_274,join(X_252,a))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_252),join(X_252,b)),join(X_252,a)) )],[refute_0_717,refute_0_718]) ).

cnf(refute_0_720,plain,
    meet(join(a,X_252),meet(X_274,join(X_252,b))) = meet(join(a,X_252),meet(X_274,join(X_252,a))),
    inference(resolve,[$cnf( $equal(meet(join(a,X_252),meet(X_274,join(X_252,b))),meet(join(a,X_252),meet(X_274,meet(join(a,X_252),join(X_252,b))))) )],[refute_0_701,refute_0_719]) ).

cnf(refute_0_721,plain,
    meet(join(a,X_253),meet(X_43,join(X_253,b))) = meet(X_43,meet(join(a,X_253),join(X_253,b))),
    inference(subst,[],[refute_0_428:[bind(X_44,$fot(join(a,X_253))),bind(X_45,$fot(join(X_253,b)))]]) ).

cnf(refute_0_722,plain,
    meet(join(a,X_253),join(X_253,b)) = join(X_253,a),
    inference(subst,[],[refute_0_717:[bind(X_252,$fot(X_253))]]) ).

cnf(refute_0_723,plain,
    ( meet(join(a,X_253),join(X_253,b)) != join(X_253,a)
    | meet(join(a,X_253),meet(X_43,join(X_253,b))) != meet(X_43,meet(join(a,X_253),join(X_253,b)))
    | meet(join(a,X_253),meet(X_43,join(X_253,b))) = meet(X_43,join(X_253,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_253),meet(X_43,join(X_253,b))),meet(X_43,meet(join(a,X_253),join(X_253,b)))) ),[1,1],$fot(join(X_253,a))]]) ).

cnf(refute_0_724,plain,
    ( meet(join(a,X_253),meet(X_43,join(X_253,b))) != meet(X_43,meet(join(a,X_253),join(X_253,b)))
    | meet(join(a,X_253),meet(X_43,join(X_253,b))) = meet(X_43,join(X_253,a)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_253),join(X_253,b)),join(X_253,a)) )],[refute_0_722,refute_0_723]) ).

cnf(refute_0_725,plain,
    meet(join(a,X_253),meet(X_43,join(X_253,b))) = meet(X_43,join(X_253,a)),
    inference(resolve,[$cnf( $equal(meet(join(a,X_253),meet(X_43,join(X_253,b))),meet(X_43,meet(join(a,X_253),join(X_253,b)))) )],[refute_0_721,refute_0_724]) ).

cnf(refute_0_726,plain,
    meet(join(a,X_252),meet(X_274,join(X_252,b))) = meet(X_274,join(X_252,a)),
    inference(subst,[],[refute_0_725:[bind(X_253,$fot(X_252)),bind(X_43,$fot(X_274))]]) ).

cnf(refute_0_727,plain,
    ( meet(join(a,X_252),meet(X_274,join(X_252,b))) != meet(X_274,join(X_252,a))
    | meet(join(a,X_252),meet(X_274,join(X_252,b))) != meet(join(a,X_252),meet(X_274,join(X_252,a)))
    | meet(X_274,join(X_252,a)) = meet(join(a,X_252),meet(X_274,join(X_252,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_252),meet(X_274,join(X_252,b))),meet(join(a,X_252),meet(X_274,join(X_252,a)))) ),[0],$fot(meet(X_274,join(X_252,a)))]]) ).

cnf(refute_0_728,plain,
    ( meet(join(a,X_252),meet(X_274,join(X_252,b))) != meet(join(a,X_252),meet(X_274,join(X_252,a)))
    | meet(X_274,join(X_252,a)) = meet(join(a,X_252),meet(X_274,join(X_252,a))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_252),meet(X_274,join(X_252,b))),meet(X_274,join(X_252,a))) )],[refute_0_726,refute_0_727]) ).

cnf(refute_0_729,plain,
    meet(join(X_186,X_185),meet(X_43,join(X_185,X_186))) = meet(X_43,meet(join(X_186,X_185),join(X_185,X_186))),
    inference(subst,[],[refute_0_428:[bind(X_44,$fot(join(X_186,X_185))),bind(X_45,$fot(join(X_185,X_186)))]]) ).

cnf(refute_0_730,plain,
    meet(join(X_103,X_10),join(X_10,join(X_103,X_10))) = join(X_103,X_10),
    inference(subst,[],[refute_0_40:[bind(X_9,$fot(join(X_103,X_10)))]]) ).

cnf(refute_0_731,plain,
    join(X_10,join(X_103,X_10)) = join(X_10,X_103),
    inference(subst,[],[refute_0_11:[bind(Y,$fot(X_103)),bind(X_28,$fot(X_10))]]) ).

cnf(refute_0_732,plain,
    ( join(X_10,join(X_103,X_10)) != join(X_10,X_103)
    | meet(join(X_103,X_10),join(X_10,join(X_103,X_10))) != join(X_103,X_10)
    | meet(join(X_103,X_10),join(X_10,X_103)) = join(X_103,X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_103,X_10),join(X_10,join(X_103,X_10))),join(X_103,X_10)) ),[0,1],$fot(join(X_10,X_103))]]) ).

cnf(refute_0_733,plain,
    ( meet(join(X_103,X_10),join(X_10,join(X_103,X_10))) != join(X_103,X_10)
    | meet(join(X_103,X_10),join(X_10,X_103)) = join(X_103,X_10) ),
    inference(resolve,[$cnf( $equal(join(X_10,join(X_103,X_10)),join(X_10,X_103)) )],[refute_0_731,refute_0_732]) ).

cnf(refute_0_734,plain,
    meet(join(X_103,X_10),join(X_10,X_103)) = join(X_103,X_10),
    inference(resolve,[$cnf( $equal(meet(join(X_103,X_10),join(X_10,join(X_103,X_10))),join(X_103,X_10)) )],[refute_0_730,refute_0_733]) ).

cnf(refute_0_735,plain,
    meet(join(X_186,X_185),join(X_185,X_186)) = join(X_186,X_185),
    inference(subst,[],[refute_0_734:[bind(X_10,$fot(X_185)),bind(X_103,$fot(X_186))]]) ).

cnf(refute_0_736,plain,
    ( meet(join(X_186,X_185),join(X_185,X_186)) != join(X_186,X_185)
    | meet(join(X_186,X_185),meet(X_43,join(X_185,X_186))) != meet(X_43,meet(join(X_186,X_185),join(X_185,X_186)))
    | meet(join(X_186,X_185),meet(X_43,join(X_185,X_186))) = meet(X_43,join(X_186,X_185)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_186,X_185),meet(X_43,join(X_185,X_186))),meet(X_43,meet(join(X_186,X_185),join(X_185,X_186)))) ),[1,1],$fot(join(X_186,X_185))]]) ).

cnf(refute_0_737,plain,
    ( meet(join(X_186,X_185),meet(X_43,join(X_185,X_186))) != meet(X_43,meet(join(X_186,X_185),join(X_185,X_186)))
    | meet(join(X_186,X_185),meet(X_43,join(X_185,X_186))) = meet(X_43,join(X_186,X_185)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_186,X_185),join(X_185,X_186)),join(X_186,X_185)) )],[refute_0_735,refute_0_736]) ).

cnf(refute_0_738,plain,
    meet(join(X_186,X_185),meet(X_43,join(X_185,X_186))) = meet(X_43,join(X_186,X_185)),
    inference(resolve,[$cnf( $equal(meet(join(X_186,X_185),meet(X_43,join(X_185,X_186))),meet(X_43,meet(join(X_186,X_185),join(X_185,X_186)))) )],[refute_0_729,refute_0_737]) ).

cnf(refute_0_739,plain,
    meet(join(a,X_252),meet(X_274,join(X_252,a))) = meet(X_274,join(a,X_252)),
    inference(subst,[],[refute_0_738:[bind(X_185,$fot(X_252)),bind(X_186,$fot(a)),bind(X_43,$fot(X_274))]]) ).

cnf(refute_0_740,plain,
    ( meet(X_274,join(X_252,a)) != meet(join(a,X_252),meet(X_274,join(X_252,a)))
    | meet(join(a,X_252),meet(X_274,join(X_252,a))) != meet(X_274,join(a,X_252))
    | meet(X_274,join(X_252,a)) = meet(X_274,join(a,X_252)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_274,join(X_252,a)),meet(X_274,join(a,X_252))) ),[0],$fot(meet(join(a,X_252),meet(X_274,join(X_252,a))))]]) ).

cnf(refute_0_741,plain,
    ( meet(X_274,join(X_252,a)) != meet(join(a,X_252),meet(X_274,join(X_252,a)))
    | meet(X_274,join(X_252,a)) = meet(X_274,join(a,X_252)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_252),meet(X_274,join(X_252,a))),meet(X_274,join(a,X_252))) )],[refute_0_739,refute_0_740]) ).

cnf(refute_0_742,plain,
    ( meet(join(a,X_252),meet(X_274,join(X_252,b))) != meet(join(a,X_252),meet(X_274,join(X_252,a)))
    | meet(X_274,join(X_252,a)) = meet(X_274,join(a,X_252)) ),
    inference(resolve,[$cnf( $equal(meet(X_274,join(X_252,a)),meet(join(a,X_252),meet(X_274,join(X_252,a)))) )],[refute_0_728,refute_0_741]) ).

cnf(refute_0_743,plain,
    meet(X_274,join(X_252,a)) = meet(X_274,join(a,X_252)),
    inference(resolve,[$cnf( $equal(meet(join(a,X_252),meet(X_274,join(X_252,b))),meet(join(a,X_252),meet(X_274,join(X_252,a)))) )],[refute_0_720,refute_0_742]) ).

cnf(refute_0_744,plain,
    meet(meet(X,Y),join(X_518,a)) = meet(meet(X,Y),join(a,X_518)),
    inference(subst,[],[refute_0_743:[bind(X_252,$fot(X_518)),bind(X_274,$fot(meet(X,Y)))]]) ).

cnf(refute_0_745,plain,
    ( meet(meet(X,Y),join(X_518,a)) != meet(X,meet(Y,join(X_518,a)))
    | meet(meet(X,Y),join(X_518,a)) != meet(meet(X,Y),join(a,X_518))
    | meet(meet(X,Y),join(a,X_518)) = meet(X,meet(Y,join(X_518,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),join(X_518,a)),meet(X,meet(Y,join(X_518,a)))) ),[0],$fot(meet(meet(X,Y),join(a,X_518)))]]) ).

cnf(refute_0_746,plain,
    ( meet(meet(X,Y),join(X_518,a)) != meet(X,meet(Y,join(X_518,a)))
    | meet(meet(X,Y),join(a,X_518)) = meet(X,meet(Y,join(X_518,a))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),join(X_518,a)),meet(meet(X,Y),join(a,X_518))) )],[refute_0_744,refute_0_745]) ).

cnf(refute_0_747,plain,
    meet(meet(X,Y),join(a,X_518)) = meet(X,meet(Y,join(X_518,a))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),join(X_518,a)),meet(X,meet(Y,join(X_518,a)))) )],[refute_0_700,refute_0_746]) ).

cnf(refute_0_748,plain,
    meet(meet(X,Y),join(a,X_518)) = meet(X,meet(Y,join(a,X_518))),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(join(a,X_518)))]]) ).

cnf(refute_0_749,plain,
    ( meet(meet(X,Y),join(a,X_518)) != meet(X,meet(Y,join(X_518,a)))
    | meet(meet(X,Y),join(a,X_518)) != meet(X,meet(Y,join(a,X_518)))
    | meet(X,meet(Y,join(a,X_518))) = meet(X,meet(Y,join(X_518,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),join(a,X_518)),meet(X,meet(Y,join(X_518,a)))) ),[0],$fot(meet(X,meet(Y,join(a,X_518))))]]) ).

cnf(refute_0_750,plain,
    ( meet(meet(X,Y),join(a,X_518)) != meet(X,meet(Y,join(X_518,a)))
    | meet(X,meet(Y,join(a,X_518))) = meet(X,meet(Y,join(X_518,a))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),join(a,X_518)),meet(X,meet(Y,join(a,X_518)))) )],[refute_0_748,refute_0_749]) ).

cnf(refute_0_751,plain,
    meet(X,meet(Y,join(a,X_518))) = meet(X,meet(Y,join(X_518,a))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),join(a,X_518)),meet(X,meet(Y,join(X_518,a)))) )],[refute_0_747,refute_0_750]) ).

cnf(refute_0_752,plain,
    ( meet(X,meet(Y,join(a,X_518))) != meet(X,meet(Y,join(X_518,a)))
    | meet(X,meet(Y,join(X_518,a))) = meet(X,meet(Y,join(a,X_518))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,meet(Y,join(a,X_518))))),bind(Y0,$fot(meet(X,meet(Y,join(X_518,a)))))]]) ).

cnf(refute_0_753,plain,
    meet(X,meet(Y,join(X_518,a))) = meet(X,meet(Y,join(a,X_518))),
    inference(resolve,[$cnf( $equal(meet(X,meet(Y,join(a,X_518))),meet(X,meet(Y,join(X_518,a)))) )],[refute_0_751,refute_0_752]) ).

cnf(refute_0_754,plain,
    meet(X_533,meet(X_532,join(meet(b,X_533),a))) = meet(X_533,meet(X_532,join(a,meet(b,X_533)))),
    inference(subst,[],[refute_0_753:[bind(X,$fot(X_533)),bind(Y,$fot(X_532)),bind(X_518,$fot(meet(b,X_533)))]]) ).

cnf(refute_0_755,plain,
    ( meet(X_533,meet(X_532,join(a,meet(b,X_533)))) != meet(X_532,meet(X_533,b))
    | meet(X_533,meet(X_532,join(meet(b,X_533),a))) != meet(X_533,meet(X_532,join(a,meet(b,X_533))))
    | meet(X_533,meet(X_532,join(meet(b,X_533),a))) = meet(X_532,meet(X_533,b)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_533,meet(X_532,join(meet(b,X_533),a))))),bind(Y0,$fot(meet(X_533,meet(X_532,join(a,meet(b,X_533)))))),bind(Z0,$fot(meet(X_532,meet(X_533,b))))]]) ).

cnf(refute_0_756,plain,
    ( meet(X_533,meet(X_532,join(a,meet(b,X_533)))) != meet(X_532,meet(X_533,b))
    | meet(X_533,meet(X_532,join(meet(b,X_533),a))) = meet(X_532,meet(X_533,b)) ),
    inference(resolve,[$cnf( $equal(meet(X_533,meet(X_532,join(meet(b,X_533),a))),meet(X_533,meet(X_532,join(a,meet(b,X_533))))) )],[refute_0_754,refute_0_755]) ).

cnf(refute_0_757,plain,
    meet(X_533,meet(X_532,join(meet(b,X_533),a))) = meet(X_532,meet(X_533,b)),
    inference(resolve,[$cnf( $equal(meet(X_533,meet(X_532,join(a,meet(b,X_533)))),meet(X_532,meet(X_533,b))) )],[refute_0_699,refute_0_756]) ).

cnf(refute_0_758,plain,
    meet(join(a,X_518),meet(X_289,Y)) = meet(Y,meet(X_289,join(a,X_518))),
    inference(subst,[],[refute_0_603:[bind(X_288,$fot(join(a,X_518)))]]) ).

cnf(refute_0_759,plain,
    meet(X_289,join(X_518,a)) = meet(X_289,join(a,X_518)),
    inference(subst,[],[refute_0_743:[bind(X_252,$fot(X_518)),bind(X_274,$fot(X_289))]]) ).

cnf(refute_0_760,plain,
    ( meet(X_289,join(X_518,a)) != meet(X_289,join(a,X_518))
    | meet(X_289,join(a,X_518)) = meet(X_289,join(X_518,a)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_289,join(X_518,a)))),bind(Y0,$fot(meet(X_289,join(a,X_518))))]]) ).

cnf(refute_0_761,plain,
    meet(X_289,join(a,X_518)) = meet(X_289,join(X_518,a)),
    inference(resolve,[$cnf( $equal(meet(X_289,join(X_518,a)),meet(X_289,join(a,X_518))) )],[refute_0_759,refute_0_760]) ).

cnf(refute_0_762,plain,
    ( meet(X_289,join(a,X_518)) != meet(X_289,join(X_518,a))
    | meet(join(a,X_518),meet(X_289,Y)) != meet(Y,meet(X_289,join(a,X_518)))
    | meet(join(a,X_518),meet(X_289,Y)) = meet(Y,meet(X_289,join(X_518,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_518),meet(X_289,Y)),meet(Y,meet(X_289,join(a,X_518)))) ),[1,1],$fot(meet(X_289,join(X_518,a)))]]) ).

cnf(refute_0_763,plain,
    ( meet(join(a,X_518),meet(X_289,Y)) != meet(Y,meet(X_289,join(a,X_518)))
    | meet(join(a,X_518),meet(X_289,Y)) = meet(Y,meet(X_289,join(X_518,a))) ),
    inference(resolve,[$cnf( $equal(meet(X_289,join(a,X_518)),meet(X_289,join(X_518,a))) )],[refute_0_761,refute_0_762]) ).

cnf(refute_0_764,plain,
    meet(join(a,X_518),meet(X_289,Y)) = meet(Y,meet(X_289,join(X_518,a))),
    inference(resolve,[$cnf( $equal(meet(join(a,X_518),meet(X_289,Y)),meet(Y,meet(X_289,join(a,X_518)))) )],[refute_0_758,refute_0_763]) ).

cnf(refute_0_765,plain,
    meet(join(a,meet(b,X_533)),meet(X_532,X_533)) = meet(X_533,meet(X_532,join(meet(b,X_533),a))),
    inference(subst,[],[refute_0_764:[bind(Y,$fot(X_533)),bind(X_289,$fot(X_532)),bind(X_518,$fot(meet(b,X_533)))]]) ).

cnf(refute_0_766,plain,
    ( meet(X_533,meet(X_532,join(meet(b,X_533),a))) != meet(X_532,meet(X_533,b))
    | meet(join(a,meet(b,X_533)),meet(X_532,X_533)) != meet(X_533,meet(X_532,join(meet(b,X_533),a)))
    | meet(join(a,meet(b,X_533)),meet(X_532,X_533)) = meet(X_532,meet(X_533,b)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(a,meet(b,X_533)),meet(X_532,X_533)))),bind(Y0,$fot(meet(X_533,meet(X_532,join(meet(b,X_533),a))))),bind(Z0,$fot(meet(X_532,meet(X_533,b))))]]) ).

cnf(refute_0_767,plain,
    ( meet(X_533,meet(X_532,join(meet(b,X_533),a))) != meet(X_532,meet(X_533,b))
    | meet(join(a,meet(b,X_533)),meet(X_532,X_533)) = meet(X_532,meet(X_533,b)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(b,X_533)),meet(X_532,X_533)),meet(X_533,meet(X_532,join(meet(b,X_533),a)))) )],[refute_0_765,refute_0_766]) ).

cnf(refute_0_768,plain,
    meet(join(a,meet(b,X_533)),meet(X_532,X_533)) = meet(X_532,meet(X_533,b)),
    inference(resolve,[$cnf( $equal(meet(X_533,meet(X_532,join(meet(b,X_533),a))),meet(X_532,meet(X_533,b))) )],[refute_0_757,refute_0_767]) ).

cnf(refute_0_769,plain,
    ( meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))) != meet(join(a,meet(b,X_533)),meet(X_532,X_533))
    | meet(join(a,meet(b,X_533)),meet(X_532,X_533)) != meet(X_532,meet(X_533,b))
    | meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))) = meet(X_532,meet(X_533,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))),meet(X_532,meet(X_533,b))) ),[0],$fot(meet(join(a,meet(b,X_533)),meet(X_532,X_533)))]]) ).

cnf(refute_0_770,plain,
    ( meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))) != meet(join(a,meet(b,X_533)),meet(X_532,X_533))
    | meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))) = meet(X_532,meet(X_533,b)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(b,X_533)),meet(X_532,X_533)),meet(X_532,meet(X_533,b))) )],[refute_0_768,refute_0_769]) ).

cnf(refute_0_771,plain,
    ( meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))) != meet(join(a,meet(b,X_533)),meet(X_532,X_533))
    | meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))) = meet(X_532,meet(X_533,b)) ),
    inference(resolve,[$cnf( $equal(meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))),meet(join(a,meet(b,X_533)),meet(X_532,X_533))) )],[refute_0_691,refute_0_770]) ).

cnf(refute_0_772,plain,
    meet(X_533,meet(b,meet(X_532,join(a,meet(b,X_533))))) = meet(X_532,meet(X_533,b)),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(b,X_533)),meet(X_532,meet(X_533,b))),meet(join(a,meet(b,X_533)),meet(X_532,X_533))) )],[refute_0_593,refute_0_771]) ).

cnf(refute_0_773,plain,
    meet(a,meet(b,meet(X_712,join(a,meet(b,a))))) = meet(X_712,meet(a,b)),
    inference(subst,[],[refute_0_772:[bind(X_532,$fot(X_712)),bind(X_533,$fot(a))]]) ).

cnf(refute_0_774,plain,
    ( join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) != join(meet(a,meet(b,meet(X_712,join(a,meet(b,a))))),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))
    | meet(a,meet(b,meet(X_712,join(a,meet(b,a))))) != meet(X_712,meet(a,b))
    | join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) = join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)),join(meet(a,meet(b,meet(X_712,join(a,meet(b,a))))),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))) ),[1,0],$fot(meet(X_712,meet(a,b)))]]) ).

cnf(refute_0_775,plain,
    ( join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) != join(meet(a,meet(b,meet(X_712,join(a,meet(b,a))))),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))
    | join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) = join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(b,meet(X_712,join(a,meet(b,a))))),meet(X_712,meet(a,b))) )],[refute_0_773,refute_0_774]) ).

cnf(refute_0_776,plain,
    join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) = join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)),
    inference(resolve,[$cnf( $equal(join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)),join(meet(a,meet(b,meet(X_712,join(a,meet(b,a))))),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))) )],[refute_0_521,refute_0_775]) ).

cnf(refute_0_777,plain,
    meet(a,meet(X_712,b)) = meet(a,X_712),
    inference(subst,[],[refute_0_453:[bind(X_48,$fot(X_712))]]) ).

cnf(refute_0_778,plain,
    meet(meet(X_43,join(X_10,X_43)),X_45) = meet(X_43,meet(join(X_10,X_43),X_45)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(join(X_10,X_43))),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_779,plain,
    meet(X_43,join(X_10,X_43)) = X_43,
    inference(subst,[],[refute_0_40:[bind(X_9,$fot(X_43))]]) ).

cnf(refute_0_780,plain,
    ( meet(X_43,join(X_10,X_43)) != X_43
    | meet(meet(X_43,join(X_10,X_43)),X_45) != meet(X_43,meet(join(X_10,X_43),X_45))
    | meet(X_43,X_45) = meet(X_43,meet(join(X_10,X_43),X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,join(X_10,X_43)),X_45),meet(X_43,meet(join(X_10,X_43),X_45))) ),[0,0],$fot(X_43)]]) ).

cnf(refute_0_781,plain,
    ( meet(meet(X_43,join(X_10,X_43)),X_45) != meet(X_43,meet(join(X_10,X_43),X_45))
    | meet(X_43,X_45) = meet(X_43,meet(join(X_10,X_43),X_45)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,join(X_10,X_43)),X_43) )],[refute_0_779,refute_0_780]) ).

cnf(refute_0_782,plain,
    meet(X_43,X_45) = meet(X_43,meet(join(X_10,X_43),X_45)),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,join(X_10,X_43)),X_45),meet(X_43,meet(join(X_10,X_43),X_45))) )],[refute_0_778,refute_0_781]) ).

cnf(refute_0_783,plain,
    meet(X_283,join(a,meet(b,join(X_282,X_283)))) = meet(X_283,meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283))))),
    inference(subst,[],[refute_0_782:[bind(X_10,$fot(X_282)),bind(X_43,$fot(X_283)),bind(X_45,$fot(join(a,meet(b,join(X_282,X_283)))))]]) ).

cnf(refute_0_784,plain,
    meet(join(X_282,X_283),b) = meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283)))),
    inference(subst,[],[refute_0_587:[bind(X_160,$fot(join(X_282,X_283)))]]) ).

cnf(refute_0_785,plain,
    ( meet(join(X_282,X_283),b) != meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283))))
    | meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283)))) = meet(join(X_282,X_283),b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(join(X_282,X_283),b))),bind(Y0,$fot(meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283))))))]]) ).

cnf(refute_0_786,plain,
    meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283)))) = meet(join(X_282,X_283),b),
    inference(resolve,[$cnf( $equal(meet(join(X_282,X_283),b),meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283))))) )],[refute_0_784,refute_0_785]) ).

cnf(refute_0_787,plain,
    ( meet(X_283,join(a,meet(b,join(X_282,X_283)))) != meet(X_283,meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283)))))
    | meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283)))) != meet(join(X_282,X_283),b)
    | meet(X_283,join(a,meet(b,join(X_282,X_283)))) = meet(X_283,meet(join(X_282,X_283),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_283,join(a,meet(b,join(X_282,X_283)))),meet(X_283,meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283)))))) ),[1,1],$fot(meet(join(X_282,X_283),b))]]) ).

cnf(refute_0_788,plain,
    ( meet(X_283,join(a,meet(b,join(X_282,X_283)))) != meet(X_283,meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283)))))
    | meet(X_283,join(a,meet(b,join(X_282,X_283)))) = meet(X_283,meet(join(X_282,X_283),b)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283)))),meet(join(X_282,X_283),b)) )],[refute_0_786,refute_0_787]) ).

cnf(refute_0_789,plain,
    meet(X_283,join(a,meet(b,join(X_282,X_283)))) = meet(X_283,meet(join(X_282,X_283),b)),
    inference(resolve,[$cnf( $equal(meet(X_283,join(a,meet(b,join(X_282,X_283)))),meet(X_283,meet(join(X_282,X_283),join(a,meet(b,join(X_282,X_283)))))) )],[refute_0_783,refute_0_788]) ).

cnf(refute_0_790,plain,
    meet(join(X_10,X_75),meet(X_74,X_75)) = meet(X_74,meet(X_75,join(X_10,X_75))),
    inference(subst,[],[refute_0_59:[bind(X,$fot(join(X_10,X_75))),bind(X_43,$fot(X_74)),bind(X_44,$fot(X_75))]]) ).

cnf(refute_0_791,plain,
    meet(X_75,join(X_10,X_75)) = X_75,
    inference(subst,[],[refute_0_40:[bind(X_9,$fot(X_75))]]) ).

cnf(refute_0_792,plain,
    ( meet(X_75,join(X_10,X_75)) != X_75
    | meet(join(X_10,X_75),meet(X_74,X_75)) != meet(X_74,meet(X_75,join(X_10,X_75)))
    | meet(join(X_10,X_75),meet(X_74,X_75)) = meet(X_74,X_75) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_10,X_75),meet(X_74,X_75)),meet(X_74,meet(X_75,join(X_10,X_75)))) ),[1,1],$fot(X_75)]]) ).

cnf(refute_0_793,plain,
    ( meet(join(X_10,X_75),meet(X_74,X_75)) != meet(X_74,meet(X_75,join(X_10,X_75)))
    | meet(join(X_10,X_75),meet(X_74,X_75)) = meet(X_74,X_75) ),
    inference(resolve,[$cnf( $equal(meet(X_75,join(X_10,X_75)),X_75) )],[refute_0_791,refute_0_792]) ).

cnf(refute_0_794,plain,
    meet(join(X_10,X_75),meet(X_74,X_75)) = meet(X_74,X_75),
    inference(resolve,[$cnf( $equal(meet(join(X_10,X_75),meet(X_74,X_75)),meet(X_74,meet(X_75,join(X_10,X_75)))) )],[refute_0_790,refute_0_793]) ).

cnf(refute_0_795,plain,
    meet(join(X_10,X_75),meet(X_74,X_75)) = meet(X_75,meet(X_74,join(X_10,X_75))),
    inference(subst,[],[refute_0_351:[bind(X_73,$fot(X_75)),bind(X_74,$fot(join(X_10,X_75))),bind(X_75,$fot(X_74))]]) ).

cnf(refute_0_796,plain,
    ( meet(join(X_10,X_75),meet(X_74,X_75)) != meet(X_74,X_75)
    | meet(join(X_10,X_75),meet(X_74,X_75)) != meet(X_75,meet(X_74,join(X_10,X_75)))
    | meet(X_75,meet(X_74,join(X_10,X_75))) = meet(X_74,X_75) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_10,X_75),meet(X_74,X_75)),meet(X_74,X_75)) ),[0],$fot(meet(X_75,meet(X_74,join(X_10,X_75))))]]) ).

cnf(refute_0_797,plain,
    ( meet(join(X_10,X_75),meet(X_74,X_75)) != meet(X_74,X_75)
    | meet(X_75,meet(X_74,join(X_10,X_75))) = meet(X_74,X_75) ),
    inference(resolve,[$cnf( $equal(meet(join(X_10,X_75),meet(X_74,X_75)),meet(X_75,meet(X_74,join(X_10,X_75)))) )],[refute_0_795,refute_0_796]) ).

cnf(refute_0_798,plain,
    meet(X_75,meet(X_74,join(X_10,X_75))) = meet(X_74,X_75),
    inference(resolve,[$cnf( $equal(meet(join(X_10,X_75),meet(X_74,X_75)),meet(X_74,X_75)) )],[refute_0_794,refute_0_797]) ).

cnf(refute_0_799,plain,
    meet(X_283,meet(b,join(X_282,X_283))) = meet(b,X_283),
    inference(subst,[],[refute_0_798:[bind(X_10,$fot(X_282)),bind(X_74,$fot(b)),bind(X_75,$fot(X_283))]]) ).

cnf(refute_0_800,plain,
    meet(meet(X_43,X_276),meet(X_43,X_44)) = meet(X_43,meet(X_44,meet(X_43,X_276))),
    inference(subst,[],[refute_0_59:[bind(X,$fot(meet(X_43,X_276)))]]) ).

cnf(refute_0_801,plain,
    meet(X_43,meet(X_44,X_276)) = meet(X_43,meet(X_44,meet(X_43,X_276))),
    inference(subst,[],[refute_0_82:[bind(X_15,$fot(X_44)),bind(X_45,$fot(X_276))]]) ).

cnf(refute_0_802,plain,
    ( meet(X_43,meet(X_44,X_276)) != meet(X_43,meet(X_44,meet(X_43,X_276)))
    | meet(X_43,meet(X_44,meet(X_43,X_276))) = meet(X_43,meet(X_44,X_276)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_43,meet(X_44,X_276)))),bind(Y0,$fot(meet(X_43,meet(X_44,meet(X_43,X_276)))))]]) ).

cnf(refute_0_803,plain,
    meet(X_43,meet(X_44,meet(X_43,X_276))) = meet(X_43,meet(X_44,X_276)),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_44,X_276)),meet(X_43,meet(X_44,meet(X_43,X_276)))) )],[refute_0_801,refute_0_802]) ).

cnf(refute_0_804,plain,
    ( meet(X_43,meet(X_44,meet(X_43,X_276))) != meet(X_43,meet(X_44,X_276))
    | meet(meet(X_43,X_276),meet(X_43,X_44)) != meet(X_43,meet(X_44,meet(X_43,X_276)))
    | meet(meet(X_43,X_276),meet(X_43,X_44)) = meet(X_43,meet(X_44,X_276)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,X_276),meet(X_43,X_44)),meet(X_43,meet(X_44,meet(X_43,X_276)))) ),[1],$fot(meet(X_43,meet(X_44,X_276)))]]) ).

cnf(refute_0_805,plain,
    ( meet(meet(X_43,X_276),meet(X_43,X_44)) != meet(X_43,meet(X_44,meet(X_43,X_276)))
    | meet(meet(X_43,X_276),meet(X_43,X_44)) = meet(X_43,meet(X_44,X_276)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_44,meet(X_43,X_276))),meet(X_43,meet(X_44,X_276))) )],[refute_0_803,refute_0_804]) ).

cnf(refute_0_806,plain,
    meet(meet(X_43,X_276),meet(X_43,X_44)) = meet(X_43,meet(X_44,X_276)),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_276),meet(X_43,X_44)),meet(X_43,meet(X_44,meet(X_43,X_276)))) )],[refute_0_800,refute_0_805]) ).

cnf(refute_0_807,plain,
    meet(X_43,meet(X_43,meet(X_276,X_44))) = meet(X_43,meet(X_276,X_44)),
    inference(subst,[],[refute_0_53:[bind(X_10,$fot(X_43)),bind(X_15,$fot(meet(X_276,X_44)))]]) ).

cnf(refute_0_808,plain,
    meet(meet(X_43,X_276),X_44) = meet(X_43,meet(X_276,X_44)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(X_276)),bind(Z,$fot(X_44))]]) ).

cnf(refute_0_809,plain,
    meet(X_43,meet(meet(X_43,X_276),X_44)) = meet(X_43,meet(meet(X_43,X_276),X_44)),
    introduced(tautology,[refl,[$fot(meet(X_43,meet(meet(X_43,X_276),X_44)))]]) ).

cnf(refute_0_810,plain,
    ( meet(X_43,meet(meet(X_43,X_276),X_44)) != meet(X_43,meet(meet(X_43,X_276),X_44))
    | meet(meet(X_43,X_276),X_44) != meet(X_43,meet(X_276,X_44))
    | meet(X_43,meet(meet(X_43,X_276),X_44)) = meet(X_43,meet(X_43,meet(X_276,X_44))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(meet(X_43,X_276),X_44)),meet(X_43,meet(meet(X_43,X_276),X_44))) ),[1,1],$fot(meet(X_43,meet(X_276,X_44)))]]) ).

cnf(refute_0_811,plain,
    ( meet(meet(X_43,X_276),X_44) != meet(X_43,meet(X_276,X_44))
    | meet(X_43,meet(meet(X_43,X_276),X_44)) = meet(X_43,meet(X_43,meet(X_276,X_44))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(meet(X_43,X_276),X_44)),meet(X_43,meet(meet(X_43,X_276),X_44))) )],[refute_0_809,refute_0_810]) ).

cnf(refute_0_812,plain,
    meet(X_43,meet(meet(X_43,X_276),X_44)) = meet(X_43,meet(X_43,meet(X_276,X_44))),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_276),X_44),meet(X_43,meet(X_276,X_44))) )],[refute_0_808,refute_0_811]) ).

cnf(refute_0_813,plain,
    ( meet(X_43,meet(X_43,meet(X_276,X_44))) != meet(X_43,meet(X_276,X_44))
    | meet(X_43,meet(meet(X_43,X_276),X_44)) != meet(X_43,meet(X_43,meet(X_276,X_44)))
    | meet(X_43,meet(meet(X_43,X_276),X_44)) = meet(X_43,meet(X_276,X_44)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_43,meet(meet(X_43,X_276),X_44)))),bind(Y0,$fot(meet(X_43,meet(X_43,meet(X_276,X_44))))),bind(Z0,$fot(meet(X_43,meet(X_276,X_44))))]]) ).

cnf(refute_0_814,plain,
    ( meet(X_43,meet(X_43,meet(X_276,X_44))) != meet(X_43,meet(X_276,X_44))
    | meet(X_43,meet(meet(X_43,X_276),X_44)) = meet(X_43,meet(X_276,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(meet(X_43,X_276),X_44)),meet(X_43,meet(X_43,meet(X_276,X_44)))) )],[refute_0_812,refute_0_813]) ).

cnf(refute_0_815,plain,
    meet(X_43,meet(meet(X_43,X_276),X_44)) = meet(X_43,meet(X_276,X_44)),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_43,meet(X_276,X_44))),meet(X_43,meet(X_276,X_44))) )],[refute_0_807,refute_0_814]) ).

cnf(refute_0_816,plain,
    meet(meet(X_43,X_276),meet(X_43,X_44)) = meet(X_43,meet(meet(X_43,X_276),X_44)),
    inference(subst,[],[refute_0_360:[bind(X_15,$fot(X_44)),bind(X_74,$fot(meet(X_43,X_276))),bind(X_75,$fot(X_43))]]) ).

cnf(refute_0_817,plain,
    ( meet(X_43,meet(meet(X_43,X_276),X_44)) != meet(X_43,meet(X_276,X_44))
    | meet(meet(X_43,X_276),meet(X_43,X_44)) != meet(X_43,meet(meet(X_43,X_276),X_44))
    | meet(meet(X_43,X_276),meet(X_43,X_44)) = meet(X_43,meet(X_276,X_44)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_43,X_276),meet(X_43,X_44)))),bind(Y0,$fot(meet(X_43,meet(meet(X_43,X_276),X_44)))),bind(Z0,$fot(meet(X_43,meet(X_276,X_44))))]]) ).

cnf(refute_0_818,plain,
    ( meet(X_43,meet(meet(X_43,X_276),X_44)) != meet(X_43,meet(X_276,X_44))
    | meet(meet(X_43,X_276),meet(X_43,X_44)) = meet(X_43,meet(X_276,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_276),meet(X_43,X_44)),meet(X_43,meet(meet(X_43,X_276),X_44))) )],[refute_0_816,refute_0_817]) ).

cnf(refute_0_819,plain,
    meet(meet(X_43,X_276),meet(X_43,X_44)) = meet(X_43,meet(X_276,X_44)),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(meet(X_43,X_276),X_44)),meet(X_43,meet(X_276,X_44))) )],[refute_0_815,refute_0_818]) ).

cnf(refute_0_820,plain,
    ( meet(meet(X_43,X_276),meet(X_43,X_44)) != meet(X_43,meet(X_276,X_44))
    | meet(meet(X_43,X_276),meet(X_43,X_44)) != meet(X_43,meet(X_44,X_276))
    | meet(X_43,meet(X_276,X_44)) = meet(X_43,meet(X_44,X_276)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,X_276),meet(X_43,X_44)),meet(X_43,meet(X_44,X_276))) ),[0],$fot(meet(X_43,meet(X_276,X_44)))]]) ).

cnf(refute_0_821,plain,
    ( meet(meet(X_43,X_276),meet(X_43,X_44)) != meet(X_43,meet(X_44,X_276))
    | meet(X_43,meet(X_276,X_44)) = meet(X_43,meet(X_44,X_276)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_276),meet(X_43,X_44)),meet(X_43,meet(X_276,X_44))) )],[refute_0_819,refute_0_820]) ).

cnf(refute_0_822,plain,
    meet(X_43,meet(X_276,X_44)) = meet(X_43,meet(X_44,X_276)),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_276),meet(X_43,X_44)),meet(X_43,meet(X_44,X_276))) )],[refute_0_806,refute_0_821]) ).

cnf(refute_0_823,plain,
    ( meet(X_43,meet(X_276,X_44)) != meet(X_43,meet(X_44,X_276))
    | meet(X_43,meet(X_44,X_276)) = meet(X_43,meet(X_276,X_44)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_43,meet(X_276,X_44)))),bind(Y0,$fot(meet(X_43,meet(X_44,X_276))))]]) ).

cnf(refute_0_824,plain,
    meet(X_43,meet(X_44,X_276)) = meet(X_43,meet(X_276,X_44)),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_276,X_44)),meet(X_43,meet(X_44,X_276))) )],[refute_0_822,refute_0_823]) ).

cnf(refute_0_825,plain,
    meet(X_283,meet(join(X_282,X_283),b)) = meet(X_283,meet(b,join(X_282,X_283))),
    inference(subst,[],[refute_0_824:[bind(X_276,$fot(b)),bind(X_43,$fot(X_283)),bind(X_44,$fot(join(X_282,X_283)))]]) ).

cnf(refute_0_826,plain,
    ( meet(X_283,meet(b,join(X_282,X_283))) != meet(b,X_283)
    | meet(X_283,meet(join(X_282,X_283),b)) != meet(X_283,meet(b,join(X_282,X_283)))
    | meet(X_283,meet(join(X_282,X_283),b)) = meet(b,X_283) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_283,meet(join(X_282,X_283),b)))),bind(Y0,$fot(meet(X_283,meet(b,join(X_282,X_283))))),bind(Z0,$fot(meet(b,X_283)))]]) ).

cnf(refute_0_827,plain,
    ( meet(X_283,meet(b,join(X_282,X_283))) != meet(b,X_283)
    | meet(X_283,meet(join(X_282,X_283),b)) = meet(b,X_283) ),
    inference(resolve,[$cnf( $equal(meet(X_283,meet(join(X_282,X_283),b)),meet(X_283,meet(b,join(X_282,X_283)))) )],[refute_0_825,refute_0_826]) ).

cnf(refute_0_828,plain,
    meet(X_283,meet(join(X_282,X_283),b)) = meet(b,X_283),
    inference(resolve,[$cnf( $equal(meet(X_283,meet(b,join(X_282,X_283))),meet(b,X_283)) )],[refute_0_799,refute_0_827]) ).

cnf(refute_0_829,plain,
    ( meet(X_283,join(a,meet(b,join(X_282,X_283)))) != meet(X_283,meet(join(X_282,X_283),b))
    | meet(X_283,meet(join(X_282,X_283),b)) != meet(b,X_283)
    | meet(X_283,join(a,meet(b,join(X_282,X_283)))) = meet(b,X_283) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_283,join(a,meet(b,join(X_282,X_283)))),meet(b,X_283)) ),[0],$fot(meet(X_283,meet(join(X_282,X_283),b)))]]) ).

cnf(refute_0_830,plain,
    ( meet(X_283,join(a,meet(b,join(X_282,X_283)))) != meet(X_283,meet(join(X_282,X_283),b))
    | meet(X_283,join(a,meet(b,join(X_282,X_283)))) = meet(b,X_283) ),
    inference(resolve,[$cnf( $equal(meet(X_283,meet(join(X_282,X_283),b)),meet(b,X_283)) )],[refute_0_828,refute_0_829]) ).

cnf(refute_0_831,plain,
    meet(X_283,join(a,meet(b,join(X_282,X_283)))) = meet(b,X_283),
    inference(resolve,[$cnf( $equal(meet(X_283,join(a,meet(b,join(X_282,X_283)))),meet(X_283,meet(join(X_282,X_283),b))) )],[refute_0_789,refute_0_830]) ).

cnf(refute_0_832,plain,
    meet(meet(X_304,Y),join(a,meet(b,join(X_304,meet(X_304,Y))))) = meet(b,meet(X_304,Y)),
    inference(subst,[],[refute_0_831:[bind(X_282,$fot(X_304)),bind(X_283,$fot(meet(X_304,Y)))]]) ).

cnf(refute_0_833,plain,
    join(X_304,meet(X_304,Y)) = X_304,
    inference(subst,[],[absorption2:[bind(X,$fot(X_304))]]) ).

cnf(refute_0_834,plain,
    ( join(X_304,meet(X_304,Y)) != X_304
    | meet(meet(X_304,Y),join(a,meet(b,join(X_304,meet(X_304,Y))))) != meet(b,meet(X_304,Y))
    | meet(meet(X_304,Y),join(a,meet(b,X_304))) = meet(b,meet(X_304,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_304,Y),join(a,meet(b,join(X_304,meet(X_304,Y))))),meet(b,meet(X_304,Y))) ),[0,1,1,1],$fot(X_304)]]) ).

cnf(refute_0_835,plain,
    ( meet(meet(X_304,Y),join(a,meet(b,join(X_304,meet(X_304,Y))))) != meet(b,meet(X_304,Y))
    | meet(meet(X_304,Y),join(a,meet(b,X_304))) = meet(b,meet(X_304,Y)) ),
    inference(resolve,[$cnf( $equal(join(X_304,meet(X_304,Y)),X_304) )],[refute_0_833,refute_0_834]) ).

cnf(refute_0_836,plain,
    meet(meet(X_304,Y),join(a,meet(b,X_304))) = meet(b,meet(X_304,Y)),
    inference(resolve,[$cnf( $equal(meet(meet(X_304,Y),join(a,meet(b,join(X_304,meet(X_304,Y))))),meet(b,meet(X_304,Y))) )],[refute_0_832,refute_0_835]) ).

cnf(refute_0_837,plain,
    meet(X_304,meet(Y,join(a,meet(b,X_304)))) = meet(Y,meet(X_304,b)),
    inference(subst,[],[refute_0_698:[bind(X_43,$fot(Y)),bind(X_44,$fot(X_304))]]) ).

cnf(refute_0_838,plain,
    meet(meet(X_304,Y),join(a,meet(b,X_304))) = meet(X_304,meet(Y,join(a,meet(b,X_304)))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_304)),bind(Z,$fot(join(a,meet(b,X_304))))]]) ).

cnf(refute_0_839,plain,
    ( meet(X_304,meet(Y,join(a,meet(b,X_304)))) != meet(Y,meet(X_304,b))
    | meet(meet(X_304,Y),join(a,meet(b,X_304))) != meet(X_304,meet(Y,join(a,meet(b,X_304))))
    | meet(meet(X_304,Y),join(a,meet(b,X_304))) = meet(Y,meet(X_304,b)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_304,Y),join(a,meet(b,X_304))))),bind(Y0,$fot(meet(X_304,meet(Y,join(a,meet(b,X_304)))))),bind(Z0,$fot(meet(Y,meet(X_304,b))))]]) ).

cnf(refute_0_840,plain,
    ( meet(X_304,meet(Y,join(a,meet(b,X_304)))) != meet(Y,meet(X_304,b))
    | meet(meet(X_304,Y),join(a,meet(b,X_304))) = meet(Y,meet(X_304,b)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_304,Y),join(a,meet(b,X_304))),meet(X_304,meet(Y,join(a,meet(b,X_304))))) )],[refute_0_838,refute_0_839]) ).

cnf(refute_0_841,plain,
    meet(meet(X_304,Y),join(a,meet(b,X_304))) = meet(Y,meet(X_304,b)),
    inference(resolve,[$cnf( $equal(meet(X_304,meet(Y,join(a,meet(b,X_304)))),meet(Y,meet(X_304,b))) )],[refute_0_837,refute_0_840]) ).

cnf(refute_0_842,plain,
    ( meet(meet(X_304,Y),join(a,meet(b,X_304))) != meet(Y,meet(X_304,b))
    | meet(meet(X_304,Y),join(a,meet(b,X_304))) != meet(b,meet(X_304,Y))
    | meet(Y,meet(X_304,b)) = meet(b,meet(X_304,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_304,Y),join(a,meet(b,X_304))),meet(b,meet(X_304,Y))) ),[0],$fot(meet(Y,meet(X_304,b)))]]) ).

cnf(refute_0_843,plain,
    ( meet(meet(X_304,Y),join(a,meet(b,X_304))) != meet(b,meet(X_304,Y))
    | meet(Y,meet(X_304,b)) = meet(b,meet(X_304,Y)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_304,Y),join(a,meet(b,X_304))),meet(Y,meet(X_304,b))) )],[refute_0_841,refute_0_842]) ).

cnf(refute_0_844,plain,
    meet(Y,meet(X_304,b)) = meet(b,meet(X_304,Y)),
    inference(resolve,[$cnf( $equal(meet(meet(X_304,Y),join(a,meet(b,X_304))),meet(b,meet(X_304,Y))) )],[refute_0_836,refute_0_843]) ).

cnf(refute_0_845,plain,
    ( meet(Y,meet(X_304,b)) != meet(b,meet(X_304,Y))
    | meet(b,meet(X_304,Y)) = meet(Y,meet(X_304,b)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(Y,meet(X_304,b)))),bind(Y0,$fot(meet(b,meet(X_304,Y))))]]) ).

cnf(refute_0_846,plain,
    meet(b,meet(X_304,Y)) = meet(Y,meet(X_304,b)),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_304,b)),meet(b,meet(X_304,Y))) )],[refute_0_844,refute_0_845]) ).

cnf(refute_0_847,plain,
    meet(b,meet(X_712,a)) = meet(a,meet(X_712,b)),
    inference(subst,[],[refute_0_846:[bind(Y,$fot(a)),bind(X_304,$fot(X_712))]]) ).

cnf(refute_0_848,plain,
    ( meet(a,meet(X_712,b)) != meet(a,X_712)
    | meet(b,meet(X_712,a)) != meet(a,meet(X_712,b))
    | meet(b,meet(X_712,a)) = meet(a,X_712) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(X_712,a)))),bind(Y0,$fot(meet(a,meet(X_712,b)))),bind(Z0,$fot(meet(a,X_712)))]]) ).

cnf(refute_0_849,plain,
    ( meet(a,meet(X_712,b)) != meet(a,X_712)
    | meet(b,meet(X_712,a)) = meet(a,X_712) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,a)),meet(a,meet(X_712,b))) )],[refute_0_847,refute_0_848]) ).

cnf(refute_0_850,plain,
    meet(b,meet(X_712,a)) = meet(a,X_712),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_712,b)),meet(a,X_712)) )],[refute_0_777,refute_0_849]) ).

cnf(refute_0_851,plain,
    join(a,meet(a,b)) = a,
    inference(subst,[],[absorption2:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).

cnf(refute_0_852,plain,
    meet(X_712,join(a,meet(a,b))) = meet(X_712,join(a,meet(a,b))),
    introduced(tautology,[refl,[$fot(meet(X_712,join(a,meet(a,b))))]]) ).

cnf(refute_0_853,plain,
    ( join(a,meet(a,b)) != a
    | meet(X_712,join(a,meet(a,b))) != meet(X_712,join(a,meet(a,b)))
    | meet(X_712,join(a,meet(a,b))) = meet(X_712,a) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_712,join(a,meet(a,b))),meet(X_712,join(a,meet(a,b)))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_854,plain,
    ( join(a,meet(a,b)) != a
    | meet(X_712,join(a,meet(a,b))) = meet(X_712,a) ),
    inference(resolve,[$cnf( $equal(meet(X_712,join(a,meet(a,b))),meet(X_712,join(a,meet(a,b)))) )],[refute_0_852,refute_0_853]) ).

cnf(refute_0_855,plain,
    meet(X_712,join(a,meet(a,b))) = meet(X_712,a),
    inference(resolve,[$cnf( $equal(join(a,meet(a,b)),a) )],[refute_0_851,refute_0_854]) ).

cnf(refute_0_856,plain,
    meet(X_519,join(meet(b,X_331),a)) = meet(X_519,join(a,meet(b,X_331))),
    inference(subst,[],[refute_0_743:[bind(X_252,$fot(meet(b,X_331))),bind(X_274,$fot(X_519))]]) ).

cnf(refute_0_857,plain,
    join(join(X,meet(a,X_331)),meet(X_331,b)) = join(X,join(meet(a,X_331),meet(X_331,b))),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(a,X_331))),bind(Z,$fot(meet(X_331,b)))]]) ).

cnf(refute_0_858,plain,
    join(meet(a,X_100),meet(X_100,b)) = join(meet(X_100,b),meet(a,X_100)),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(meet(a,X_100))),bind(Y,$fot(meet(X_100,b)))]]) ).

cnf(refute_0_859,plain,
    ( join(meet(X_100,b),meet(a,X_100)) != meet(X_100,b)
    | join(meet(a,X_100),meet(X_100,b)) != join(meet(X_100,b),meet(a,X_100))
    | join(meet(a,X_100),meet(X_100,b)) = meet(X_100,b) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,X_100),meet(X_100,b)),join(meet(X_100,b),meet(a,X_100))) ),[1],$fot(meet(X_100,b))]]) ).

cnf(refute_0_860,plain,
    ( join(meet(a,X_100),meet(X_100,b)) != join(meet(X_100,b),meet(a,X_100))
    | join(meet(a,X_100),meet(X_100,b)) = meet(X_100,b) ),
    inference(resolve,[$cnf( $equal(join(meet(X_100,b),meet(a,X_100)),meet(X_100,b)) )],[refute_0_541,refute_0_859]) ).

cnf(refute_0_861,plain,
    join(meet(a,X_100),meet(X_100,b)) = meet(X_100,b),
    inference(resolve,[$cnf( $equal(join(meet(a,X_100),meet(X_100,b)),join(meet(X_100,b),meet(a,X_100))) )],[refute_0_858,refute_0_860]) ).

cnf(refute_0_862,plain,
    join(meet(a,X_331),meet(X_331,b)) = meet(X_331,b),
    inference(subst,[],[refute_0_861:[bind(X_100,$fot(X_331))]]) ).

cnf(refute_0_863,plain,
    ( join(join(X,meet(a,X_331)),meet(X_331,b)) != join(X,join(meet(a,X_331),meet(X_331,b)))
    | join(meet(a,X_331),meet(X_331,b)) != meet(X_331,b)
    | join(join(X,meet(a,X_331)),meet(X_331,b)) = join(X,meet(X_331,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(a,X_331)),meet(X_331,b)),join(X,join(meet(a,X_331),meet(X_331,b)))) ),[1,1],$fot(meet(X_331,b))]]) ).

cnf(refute_0_864,plain,
    ( join(join(X,meet(a,X_331)),meet(X_331,b)) != join(X,join(meet(a,X_331),meet(X_331,b)))
    | join(join(X,meet(a,X_331)),meet(X_331,b)) = join(X,meet(X_331,b)) ),
    inference(resolve,[$cnf( $equal(join(meet(a,X_331),meet(X_331,b)),meet(X_331,b)) )],[refute_0_862,refute_0_863]) ).

cnf(refute_0_865,plain,
    join(join(X,meet(a,X_331)),meet(X_331,b)) = join(X,meet(X_331,b)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(a,X_331)),meet(X_331,b)),join(X,join(meet(a,X_331),meet(X_331,b)))) )],[refute_0_857,refute_0_864]) ).

cnf(refute_0_866,plain,
    join(meet(a,X_127),join(X_31,meet(b,X_127))) = join(X_31,join(meet(a,X_127),meet(b,X_127))),
    inference(subst,[],[refute_0_214:[bind(X_32,$fot(meet(a,X_127))),bind(X_33,$fot(meet(b,X_127)))]]) ).

cnf(refute_0_867,plain,
    join(meet(b,X_48),meet(a,meet(b,X_48))) = meet(b,X_48),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(b,X_48))),bind(Y,$fot(a))]]) ).

cnf(refute_0_868,plain,
    ( join(meet(b,X_48),meet(a,meet(b,X_48))) != meet(b,X_48)
    | meet(a,meet(b,X_48)) != meet(a,X_48)
    | join(meet(b,X_48),meet(a,X_48)) = meet(b,X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_48),meet(a,meet(b,X_48))),meet(b,X_48)) ),[0,1],$fot(meet(a,X_48))]]) ).

cnf(refute_0_869,plain,
    ( join(meet(b,X_48),meet(a,meet(b,X_48))) != meet(b,X_48)
    | join(meet(b,X_48),meet(a,X_48)) = meet(b,X_48) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(b,X_48)),meet(a,X_48)) )],[refute_0_397,refute_0_868]) ).

cnf(refute_0_870,plain,
    join(meet(b,X_48),meet(a,X_48)) = meet(b,X_48),
    inference(resolve,[$cnf( $equal(join(meet(b,X_48),meet(a,meet(b,X_48))),meet(b,X_48)) )],[refute_0_867,refute_0_869]) ).

cnf(refute_0_871,plain,
    join(meet(b,X_48),meet(a,X_48)) = join(meet(a,X_48),meet(b,X_48)),
    inference(subst,[],[refute_0_115:[bind(X,$fot(meet(a,X_48))),bind(Y,$fot(meet(b,X_48)))]]) ).

cnf(refute_0_872,plain,
    ( join(meet(b,X_48),meet(a,X_48)) != join(meet(a,X_48),meet(b,X_48))
    | join(meet(b,X_48),meet(a,X_48)) != meet(b,X_48)
    | join(meet(a,X_48),meet(b,X_48)) = meet(b,X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_48),meet(a,X_48)),meet(b,X_48)) ),[0],$fot(join(meet(a,X_48),meet(b,X_48)))]]) ).

cnf(refute_0_873,plain,
    ( join(meet(b,X_48),meet(a,X_48)) != meet(b,X_48)
    | join(meet(a,X_48),meet(b,X_48)) = meet(b,X_48) ),
    inference(resolve,[$cnf( $equal(join(meet(b,X_48),meet(a,X_48)),join(meet(a,X_48),meet(b,X_48))) )],[refute_0_871,refute_0_872]) ).

cnf(refute_0_874,plain,
    join(meet(a,X_48),meet(b,X_48)) = meet(b,X_48),
    inference(resolve,[$cnf( $equal(join(meet(b,X_48),meet(a,X_48)),meet(b,X_48)) )],[refute_0_870,refute_0_873]) ).

cnf(refute_0_875,plain,
    join(meet(a,X_127),meet(b,X_127)) = meet(b,X_127),
    inference(subst,[],[refute_0_874:[bind(X_48,$fot(X_127))]]) ).

cnf(refute_0_876,plain,
    ( join(meet(a,X_127),join(X_31,meet(b,X_127))) != join(X_31,join(meet(a,X_127),meet(b,X_127)))
    | join(meet(a,X_127),meet(b,X_127)) != meet(b,X_127)
    | join(meet(a,X_127),join(X_31,meet(b,X_127))) = join(X_31,meet(b,X_127)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,X_127),join(X_31,meet(b,X_127))),join(X_31,join(meet(a,X_127),meet(b,X_127)))) ),[1,1],$fot(meet(b,X_127))]]) ).

cnf(refute_0_877,plain,
    ( join(meet(a,X_127),join(X_31,meet(b,X_127))) != join(X_31,join(meet(a,X_127),meet(b,X_127)))
    | join(meet(a,X_127),join(X_31,meet(b,X_127))) = join(X_31,meet(b,X_127)) ),
    inference(resolve,[$cnf( $equal(join(meet(a,X_127),meet(b,X_127)),meet(b,X_127)) )],[refute_0_875,refute_0_876]) ).

cnf(refute_0_878,plain,
    join(meet(a,X_127),join(X_31,meet(b,X_127))) = join(X_31,meet(b,X_127)),
    inference(resolve,[$cnf( $equal(join(meet(a,X_127),join(X_31,meet(b,X_127))),join(X_31,join(meet(a,X_127),meet(b,X_127)))) )],[refute_0_866,refute_0_877]) ).

cnf(refute_0_879,plain,
    join(meet(a,X_331),join(X,meet(b,X_331))) = join(X,meet(b,X_331)),
    inference(subst,[],[refute_0_878:[bind(X_127,$fot(X_331)),bind(X_31,$fot(X))]]) ).

cnf(refute_0_880,plain,
    join(meet(b,X_331),join(X,meet(a,X_331))) = join(meet(a,X_331),join(X,meet(b,X_331))),
    inference(subst,[],[refute_0_307:[bind(Y,$fot(meet(a,X_331))),bind(X_154,$fot(meet(b,X_331))),bind(X_155,$fot(X))]]) ).

cnf(refute_0_881,plain,
    ( join(meet(a,X_331),join(X,meet(b,X_331))) != join(X,meet(b,X_331))
    | join(meet(b,X_331),join(X,meet(a,X_331))) != join(meet(a,X_331),join(X,meet(b,X_331)))
    | join(meet(b,X_331),join(X,meet(a,X_331))) = join(X,meet(b,X_331)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,X_331),join(X,meet(a,X_331))))),bind(Y0,$fot(join(meet(a,X_331),join(X,meet(b,X_331))))),bind(Z0,$fot(join(X,meet(b,X_331))))]]) ).

cnf(refute_0_882,plain,
    ( join(meet(a,X_331),join(X,meet(b,X_331))) != join(X,meet(b,X_331))
    | join(meet(b,X_331),join(X,meet(a,X_331))) = join(X,meet(b,X_331)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,X_331),join(X,meet(a,X_331))),join(meet(a,X_331),join(X,meet(b,X_331)))) )],[refute_0_880,refute_0_881]) ).

cnf(refute_0_883,plain,
    join(meet(b,X_331),join(X,meet(a,X_331))) = join(X,meet(b,X_331)),
    inference(resolve,[$cnf( $equal(join(meet(a,X_331),join(X,meet(b,X_331))),join(X,meet(b,X_331))) )],[refute_0_879,refute_0_882]) ).

cnf(refute_0_884,plain,
    join(X_279,join(meet(X_15,X_28),meet(X_28,X_15))) = join(meet(X_28,X_15),join(meet(X_15,X_28),X_279)),
    inference(subst,[],[refute_0_387:[bind(X,$fot(X_279)),bind(X_103,$fot(meet(X_28,X_15))),bind(X_31,$fot(meet(X_15,X_28)))]]) ).

cnf(refute_0_885,plain,
    join(meet(X_15,X_28),meet(X_28,meet(X_15,X_28))) = meet(X_15,X_28),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_15,X_28))),bind(Y,$fot(X_28))]]) ).

cnf(refute_0_886,plain,
    meet(X_28,meet(X_15,X_28)) = meet(X_28,X_15),
    inference(subst,[],[refute_0_49:[bind(X_10,$fot(X_28))]]) ).

cnf(refute_0_887,plain,
    ( join(meet(X_15,X_28),meet(X_28,meet(X_15,X_28))) != meet(X_15,X_28)
    | meet(X_28,meet(X_15,X_28)) != meet(X_28,X_15)
    | join(meet(X_15,X_28),meet(X_28,X_15)) = meet(X_15,X_28) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_15,X_28),meet(X_28,meet(X_15,X_28))),meet(X_15,X_28)) ),[0,1],$fot(meet(X_28,X_15))]]) ).

cnf(refute_0_888,plain,
    ( join(meet(X_15,X_28),meet(X_28,meet(X_15,X_28))) != meet(X_15,X_28)
    | join(meet(X_15,X_28),meet(X_28,X_15)) = meet(X_15,X_28) ),
    inference(resolve,[$cnf( $equal(meet(X_28,meet(X_15,X_28)),meet(X_28,X_15)) )],[refute_0_886,refute_0_887]) ).

cnf(refute_0_889,plain,
    join(meet(X_15,X_28),meet(X_28,X_15)) = meet(X_15,X_28),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_28),meet(X_28,meet(X_15,X_28))),meet(X_15,X_28)) )],[refute_0_885,refute_0_888]) ).

cnf(refute_0_890,plain,
    ( join(X_279,join(meet(X_15,X_28),meet(X_28,X_15))) != join(meet(X_28,X_15),join(meet(X_15,X_28),X_279))
    | join(meet(X_15,X_28),meet(X_28,X_15)) != meet(X_15,X_28)
    | join(X_279,meet(X_15,X_28)) = join(meet(X_28,X_15),join(meet(X_15,X_28),X_279)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_279,join(meet(X_15,X_28),meet(X_28,X_15))),join(meet(X_28,X_15),join(meet(X_15,X_28),X_279))) ),[0,1],$fot(meet(X_15,X_28))]]) ).

cnf(refute_0_891,plain,
    ( join(X_279,join(meet(X_15,X_28),meet(X_28,X_15))) != join(meet(X_28,X_15),join(meet(X_15,X_28),X_279))
    | join(X_279,meet(X_15,X_28)) = join(meet(X_28,X_15),join(meet(X_15,X_28),X_279)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_28),meet(X_28,X_15)),meet(X_15,X_28)) )],[refute_0_889,refute_0_890]) ).

cnf(refute_0_892,plain,
    join(X_279,meet(X_15,X_28)) = join(meet(X_28,X_15),join(meet(X_15,X_28),X_279)),
    inference(resolve,[$cnf( $equal(join(X_279,join(meet(X_15,X_28),meet(X_28,X_15))),join(meet(X_28,X_15),join(meet(X_15,X_28),X_279))) )],[refute_0_884,refute_0_891]) ).

cnf(refute_0_893,plain,
    join(join(meet(X_54,X_55),meet(X_55,X_54)),Z) = join(meet(X_54,X_55),join(meet(X_55,X_54),Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_54,X_55))),bind(Y,$fot(meet(X_55,X_54)))]]) ).

cnf(refute_0_894,plain,
    join(meet(X_54,X_55),meet(X_55,X_54)) = meet(X_54,X_55),
    inference(subst,[],[refute_0_889:[bind(X_15,$fot(X_54)),bind(X_28,$fot(X_55))]]) ).

cnf(refute_0_895,plain,
    ( join(join(meet(X_54,X_55),meet(X_55,X_54)),Z) != join(meet(X_54,X_55),join(meet(X_55,X_54),Z))
    | join(meet(X_54,X_55),meet(X_55,X_54)) != meet(X_54,X_55)
    | join(meet(X_54,X_55),Z) = join(meet(X_54,X_55),join(meet(X_55,X_54),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_54,X_55),meet(X_55,X_54)),Z),join(meet(X_54,X_55),join(meet(X_55,X_54),Z))) ),[0,0],$fot(meet(X_54,X_55))]]) ).

cnf(refute_0_896,plain,
    ( join(join(meet(X_54,X_55),meet(X_55,X_54)),Z) != join(meet(X_54,X_55),join(meet(X_55,X_54),Z))
    | join(meet(X_54,X_55),Z) = join(meet(X_54,X_55),join(meet(X_55,X_54),Z)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_54,X_55),meet(X_55,X_54)),meet(X_54,X_55)) )],[refute_0_894,refute_0_895]) ).

cnf(refute_0_897,plain,
    join(meet(X_54,X_55),Z) = join(meet(X_54,X_55),join(meet(X_55,X_54),Z)),
    inference(resolve,[$cnf( $equal(join(join(meet(X_54,X_55),meet(X_55,X_54)),Z),join(meet(X_54,X_55),join(meet(X_55,X_54),Z))) )],[refute_0_893,refute_0_896]) ).

cnf(refute_0_898,plain,
    ( join(meet(X_54,X_55),Z) != join(meet(X_54,X_55),join(meet(X_55,X_54),Z))
    | join(meet(X_54,X_55),join(meet(X_55,X_54),Z)) = join(meet(X_54,X_55),Z) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(X_54,X_55),Z))),bind(Y0,$fot(join(meet(X_54,X_55),join(meet(X_55,X_54),Z))))]]) ).

cnf(refute_0_899,plain,
    join(meet(X_54,X_55),join(meet(X_55,X_54),Z)) = join(meet(X_54,X_55),Z),
    inference(resolve,[$cnf( $equal(join(meet(X_54,X_55),Z),join(meet(X_54,X_55),join(meet(X_55,X_54),Z))) )],[refute_0_897,refute_0_898]) ).

cnf(refute_0_900,plain,
    join(meet(X_28,X_15),join(meet(X_15,X_28),X_279)) = join(meet(X_28,X_15),X_279),
    inference(subst,[],[refute_0_899:[bind(Z,$fot(X_279)),bind(X_54,$fot(X_28)),bind(X_55,$fot(X_15))]]) ).

cnf(refute_0_901,plain,
    ( join(X_279,meet(X_15,X_28)) != join(meet(X_28,X_15),join(meet(X_15,X_28),X_279))
    | join(meet(X_28,X_15),join(meet(X_15,X_28),X_279)) != join(meet(X_28,X_15),X_279)
    | join(X_279,meet(X_15,X_28)) = join(meet(X_28,X_15),X_279) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_279,meet(X_15,X_28)),join(meet(X_28,X_15),X_279)) ),[0],$fot(join(meet(X_28,X_15),join(meet(X_15,X_28),X_279)))]]) ).

cnf(refute_0_902,plain,
    ( join(X_279,meet(X_15,X_28)) != join(meet(X_28,X_15),join(meet(X_15,X_28),X_279))
    | join(X_279,meet(X_15,X_28)) = join(meet(X_28,X_15),X_279) ),
    inference(resolve,[$cnf( $equal(join(meet(X_28,X_15),join(meet(X_15,X_28),X_279)),join(meet(X_28,X_15),X_279)) )],[refute_0_900,refute_0_901]) ).

cnf(refute_0_903,plain,
    join(X_279,meet(X_15,X_28)) = join(meet(X_28,X_15),X_279),
    inference(resolve,[$cnf( $equal(join(X_279,meet(X_15,X_28)),join(meet(X_28,X_15),join(meet(X_15,X_28),X_279))) )],[refute_0_892,refute_0_902]) ).

cnf(refute_0_904,plain,
    join(join(X,meet(a,X_331)),meet(X_331,b)) = join(meet(b,X_331),join(X,meet(a,X_331))),
    inference(subst,[],[refute_0_903:[bind(X_15,$fot(X_331)),bind(X_279,$fot(join(X,meet(a,X_331)))),bind(X_28,$fot(b))]]) ).

cnf(refute_0_905,plain,
    ( join(join(X,meet(a,X_331)),meet(X_331,b)) != join(meet(b,X_331),join(X,meet(a,X_331)))
    | join(meet(b,X_331),join(X,meet(a,X_331))) != join(X,meet(b,X_331))
    | join(join(X,meet(a,X_331)),meet(X_331,b)) = join(X,meet(b,X_331)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(join(X,meet(a,X_331)),meet(X_331,b)))),bind(Y0,$fot(join(meet(b,X_331),join(X,meet(a,X_331))))),bind(Z0,$fot(join(X,meet(b,X_331))))]]) ).

cnf(refute_0_906,plain,
    ( join(meet(b,X_331),join(X,meet(a,X_331))) != join(X,meet(b,X_331))
    | join(join(X,meet(a,X_331)),meet(X_331,b)) = join(X,meet(b,X_331)) ),
    inference(resolve,[$cnf( $equal(join(join(X,meet(a,X_331)),meet(X_331,b)),join(meet(b,X_331),join(X,meet(a,X_331)))) )],[refute_0_904,refute_0_905]) ).

cnf(refute_0_907,plain,
    join(join(X,meet(a,X_331)),meet(X_331,b)) = join(X,meet(b,X_331)),
    inference(resolve,[$cnf( $equal(join(meet(b,X_331),join(X,meet(a,X_331))),join(X,meet(b,X_331))) )],[refute_0_883,refute_0_906]) ).

cnf(refute_0_908,plain,
    ( join(join(X,meet(a,X_331)),meet(X_331,b)) != join(X,meet(X_331,b))
    | join(join(X,meet(a,X_331)),meet(X_331,b)) != join(X,meet(b,X_331))
    | join(X,meet(b,X_331)) = join(X,meet(X_331,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(a,X_331)),meet(X_331,b)),join(X,meet(X_331,b))) ),[0],$fot(join(X,meet(b,X_331)))]]) ).

cnf(refute_0_909,plain,
    ( join(join(X,meet(a,X_331)),meet(X_331,b)) != join(X,meet(X_331,b))
    | join(X,meet(b,X_331)) = join(X,meet(X_331,b)) ),
    inference(resolve,[$cnf( $equal(join(join(X,meet(a,X_331)),meet(X_331,b)),join(X,meet(b,X_331))) )],[refute_0_907,refute_0_908]) ).

cnf(refute_0_910,plain,
    join(X,meet(b,X_331)) = join(X,meet(X_331,b)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(a,X_331)),meet(X_331,b)),join(X,meet(X_331,b))) )],[refute_0_865,refute_0_909]) ).

cnf(refute_0_911,plain,
    join(a,meet(b,X_331)) = join(a,meet(X_331,b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(a))]]) ).

cnf(refute_0_912,plain,
    ( join(a,meet(b,X_331)) != join(a,meet(X_331,b))
    | meet(X_519,join(meet(b,X_331),a)) != meet(X_519,join(a,meet(b,X_331)))
    | meet(X_519,join(meet(b,X_331),a)) = meet(X_519,join(a,meet(X_331,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_519,join(meet(b,X_331),a)),meet(X_519,join(a,meet(b,X_331)))) ),[1,1],$fot(join(a,meet(X_331,b)))]]) ).

cnf(refute_0_913,plain,
    ( meet(X_519,join(meet(b,X_331),a)) != meet(X_519,join(a,meet(b,X_331)))
    | meet(X_519,join(meet(b,X_331),a)) = meet(X_519,join(a,meet(X_331,b))) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,X_331)),join(a,meet(X_331,b))) )],[refute_0_911,refute_0_912]) ).

cnf(refute_0_914,plain,
    meet(X_519,join(meet(b,X_331),a)) = meet(X_519,join(a,meet(X_331,b))),
    inference(resolve,[$cnf( $equal(meet(X_519,join(meet(b,X_331),a)),meet(X_519,join(a,meet(b,X_331)))) )],[refute_0_856,refute_0_913]) ).

cnf(refute_0_915,plain,
    ( meet(X_519,join(meet(b,X_331),a)) != meet(X_519,join(a,meet(X_331,b)))
    | meet(X_519,join(meet(b,X_331),a)) != meet(X_519,join(a,meet(b,X_331)))
    | meet(X_519,join(a,meet(b,X_331))) = meet(X_519,join(a,meet(X_331,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_519,join(meet(b,X_331),a)),meet(X_519,join(a,meet(X_331,b)))) ),[0],$fot(meet(X_519,join(a,meet(b,X_331))))]]) ).

cnf(refute_0_916,plain,
    ( meet(X_519,join(meet(b,X_331),a)) != meet(X_519,join(a,meet(X_331,b)))
    | meet(X_519,join(a,meet(b,X_331))) = meet(X_519,join(a,meet(X_331,b))) ),
    inference(resolve,[$cnf( $equal(meet(X_519,join(meet(b,X_331),a)),meet(X_519,join(a,meet(b,X_331)))) )],[refute_0_856,refute_0_915]) ).

cnf(refute_0_917,plain,
    meet(X_519,join(a,meet(b,X_331))) = meet(X_519,join(a,meet(X_331,b))),
    inference(resolve,[$cnf( $equal(meet(X_519,join(meet(b,X_331),a)),meet(X_519,join(a,meet(X_331,b)))) )],[refute_0_914,refute_0_916]) ).

cnf(refute_0_918,plain,
    meet(X_712,join(a,meet(b,a))) = meet(X_712,join(a,meet(a,b))),
    inference(subst,[],[refute_0_917:[bind(X_331,$fot(a)),bind(X_519,$fot(X_712))]]) ).

cnf(refute_0_919,plain,
    ( meet(X_712,join(a,meet(a,b))) != meet(X_712,a)
    | meet(X_712,join(a,meet(b,a))) != meet(X_712,join(a,meet(a,b)))
    | meet(X_712,join(a,meet(b,a))) = meet(X_712,a) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_712,join(a,meet(b,a))))),bind(Y0,$fot(meet(X_712,join(a,meet(a,b))))),bind(Z0,$fot(meet(X_712,a)))]]) ).

cnf(refute_0_920,plain,
    ( meet(X_712,join(a,meet(a,b))) != meet(X_712,a)
    | meet(X_712,join(a,meet(b,a))) = meet(X_712,a) ),
    inference(resolve,[$cnf( $equal(meet(X_712,join(a,meet(b,a))),meet(X_712,join(a,meet(a,b)))) )],[refute_0_918,refute_0_919]) ).

cnf(refute_0_921,plain,
    meet(X_712,join(a,meet(b,a))) = meet(X_712,a),
    inference(resolve,[$cnf( $equal(meet(X_712,join(a,meet(a,b))),meet(X_712,a)) )],[refute_0_855,refute_0_920]) ).

cnf(refute_0_922,plain,
    meet(b,meet(X_712,join(a,meet(b,a)))) = meet(b,meet(X_712,join(a,meet(b,a)))),
    introduced(tautology,[refl,[$fot(meet(b,meet(X_712,join(a,meet(b,a)))))]]) ).

cnf(refute_0_923,plain,
    ( meet(X_712,join(a,meet(b,a))) != meet(X_712,a)
    | meet(b,meet(X_712,join(a,meet(b,a)))) != meet(b,meet(X_712,join(a,meet(b,a))))
    | meet(b,meet(X_712,join(a,meet(b,a)))) = meet(b,meet(X_712,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_712,join(a,meet(b,a)))),meet(b,meet(X_712,join(a,meet(b,a))))) ),[1,1],$fot(meet(X_712,a))]]) ).

cnf(refute_0_924,plain,
    ( meet(X_712,join(a,meet(b,a))) != meet(X_712,a)
    | meet(b,meet(X_712,join(a,meet(b,a)))) = meet(b,meet(X_712,a)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,join(a,meet(b,a)))),meet(b,meet(X_712,join(a,meet(b,a))))) )],[refute_0_922,refute_0_923]) ).

cnf(refute_0_925,plain,
    meet(b,meet(X_712,join(a,meet(b,a)))) = meet(b,meet(X_712,a)),
    inference(resolve,[$cnf( $equal(meet(X_712,join(a,meet(b,a))),meet(X_712,a)) )],[refute_0_921,refute_0_924]) ).

cnf(refute_0_926,plain,
    ( meet(b,meet(X_712,a)) != meet(a,X_712)
    | meet(b,meet(X_712,join(a,meet(b,a)))) != meet(b,meet(X_712,a))
    | meet(b,meet(X_712,join(a,meet(b,a)))) = meet(a,X_712) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(X_712,join(a,meet(b,a)))))),bind(Y0,$fot(meet(b,meet(X_712,a)))),bind(Z0,$fot(meet(a,X_712)))]]) ).

cnf(refute_0_927,plain,
    ( meet(b,meet(X_712,a)) != meet(a,X_712)
    | meet(b,meet(X_712,join(a,meet(b,a)))) = meet(a,X_712) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,join(a,meet(b,a)))),meet(b,meet(X_712,a))) )],[refute_0_925,refute_0_926]) ).

cnf(refute_0_928,plain,
    meet(b,meet(X_712,join(a,meet(b,a)))) = meet(a,X_712),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,a)),meet(a,X_712)) )],[refute_0_850,refute_0_927]) ).

cnf(refute_0_929,plain,
    meet(b,meet(b,meet(X_712,join(a,meet(b,a))))) = meet(b,meet(X_712,join(a,meet(b,a)))),
    inference(subst,[],[refute_0_53:[bind(X_10,$fot(b)),bind(X_15,$fot(meet(X_712,join(a,meet(b,a)))))]]) ).

cnf(refute_0_930,plain,
    ( meet(b,meet(X_712,join(a,meet(b,a)))) != meet(a,X_712)
    | meet(b,meet(b,meet(X_712,join(a,meet(b,a))))) != meet(b,meet(X_712,join(a,meet(b,a))))
    | meet(b,meet(b,meet(X_712,join(a,meet(b,a))))) = meet(a,X_712) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))))),bind(Y0,$fot(meet(b,meet(X_712,join(a,meet(b,a)))))),bind(Z0,$fot(meet(a,X_712)))]]) ).

cnf(refute_0_931,plain,
    ( meet(b,meet(X_712,join(a,meet(b,a)))) != meet(a,X_712)
    | meet(b,meet(b,meet(X_712,join(a,meet(b,a))))) = meet(a,X_712) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),meet(b,meet(X_712,join(a,meet(b,a))))) )],[refute_0_929,refute_0_930]) ).

cnf(refute_0_932,plain,
    meet(b,meet(b,meet(X_712,join(a,meet(b,a))))) = meet(a,X_712),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,join(a,meet(b,a)))),meet(a,X_712)) )],[refute_0_928,refute_0_931]) ).

cnf(refute_0_933,plain,
    join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))) = join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))),
    introduced(tautology,[refl,[$fot(join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))))]]) ).

cnf(refute_0_934,plain,
    ( join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))) != join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a))))))
    | meet(b,meet(b,meet(X_712,join(a,meet(b,a))))) != meet(a,X_712)
    | join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))) = join(X_279,meet(a,X_712)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))),join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a))))))) ),[1,1],$fot(meet(a,X_712))]]) ).

cnf(refute_0_935,plain,
    ( meet(b,meet(b,meet(X_712,join(a,meet(b,a))))) != meet(a,X_712)
    | join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))) = join(X_279,meet(a,X_712)) ),
    inference(resolve,[$cnf( $equal(join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))),join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a))))))) )],[refute_0_933,refute_0_934]) ).

cnf(refute_0_936,plain,
    join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))) = join(X_279,meet(a,X_712)),
    inference(resolve,[$cnf( $equal(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),meet(a,X_712)) )],[refute_0_932,refute_0_935]) ).

cnf(refute_0_937,plain,
    join(meet(X_289,X_288),join(X_667,meet(X_666,meet(X_289,X_288)))) = join(X_667,meet(X_289,X_288)),
    inference(subst,[],[refute_0_185:[bind(Y,$fot(X_666)),bind(X_65,$fot(X_667)),bind(X_66,$fot(meet(X_289,X_288)))]]) ).

cnf(refute_0_938,plain,
    meet(X_288,meet(X_289,X_666)) = meet(X_666,meet(X_289,X_288)),
    inference(subst,[],[refute_0_603:[bind(Y,$fot(X_666))]]) ).

cnf(refute_0_939,plain,
    ( meet(X_288,meet(X_289,X_666)) != meet(X_666,meet(X_289,X_288))
    | meet(X_666,meet(X_289,X_288)) = meet(X_288,meet(X_289,X_666)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_288,meet(X_289,X_666)))),bind(Y0,$fot(meet(X_666,meet(X_289,X_288))))]]) ).

cnf(refute_0_940,plain,
    meet(X_666,meet(X_289,X_288)) = meet(X_288,meet(X_289,X_666)),
    inference(resolve,[$cnf( $equal(meet(X_288,meet(X_289,X_666)),meet(X_666,meet(X_289,X_288))) )],[refute_0_938,refute_0_939]) ).

cnf(refute_0_941,plain,
    ( join(meet(X_289,X_288),join(X_667,meet(X_666,meet(X_289,X_288)))) != join(X_667,meet(X_289,X_288))
    | meet(X_666,meet(X_289,X_288)) != meet(X_288,meet(X_289,X_666))
    | join(meet(X_289,X_288),join(X_667,meet(X_288,meet(X_289,X_666)))) = join(X_667,meet(X_289,X_288)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_289,X_288),join(X_667,meet(X_666,meet(X_289,X_288)))),join(X_667,meet(X_289,X_288))) ),[0,1,1],$fot(meet(X_288,meet(X_289,X_666)))]]) ).

cnf(refute_0_942,plain,
    ( join(meet(X_289,X_288),join(X_667,meet(X_666,meet(X_289,X_288)))) != join(X_667,meet(X_289,X_288))
    | join(meet(X_289,X_288),join(X_667,meet(X_288,meet(X_289,X_666)))) = join(X_667,meet(X_289,X_288)) ),
    inference(resolve,[$cnf( $equal(meet(X_666,meet(X_289,X_288)),meet(X_288,meet(X_289,X_666))) )],[refute_0_940,refute_0_941]) ).

cnf(refute_0_943,plain,
    join(meet(X_289,X_288),join(X_667,meet(X_288,meet(X_289,X_666)))) = join(X_667,meet(X_289,X_288)),
    inference(resolve,[$cnf( $equal(join(meet(X_289,X_288),join(X_667,meet(X_666,meet(X_289,X_288)))),join(X_667,meet(X_289,X_288))) )],[refute_0_937,refute_0_942]) ).

cnf(refute_0_944,plain,
    join(meet(X_348,X_346),join(X_31,meet(X_346,meet(X_348,X_347)))) = join(X_31,join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347)))),
    inference(subst,[],[refute_0_214:[bind(X_32,$fot(meet(X_348,X_346))),bind(X_33,$fot(meet(X_346,meet(X_348,X_347))))]]) ).

cnf(refute_0_945,plain,
    join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) = meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,join(meet(X_15,X_28),meet(X_28,X_15)))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(meet(X_15,X_28))),bind(Y,$fot(X_158)),bind(Z,$fot(meet(X_28,X_15)))]]) ).

cnf(refute_0_946,plain,
    ( join(meet(X_15,X_28),meet(X_28,X_15)) != meet(X_15,X_28)
    | join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) != meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,join(meet(X_15,X_28),meet(X_28,X_15))))))
    | join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) = meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))),meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,join(meet(X_15,X_28),meet(X_28,X_15))))))) ),[1,1,1,1,1],$fot(meet(X_15,X_28))]]) ).

cnf(refute_0_947,plain,
    ( join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) != meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,join(meet(X_15,X_28),meet(X_28,X_15))))))
    | join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) = meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_28),meet(X_28,X_15)),meet(X_15,X_28)) )],[refute_0_889,refute_0_946]) ).

cnf(refute_0_948,plain,
    join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) = meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))),meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,join(meet(X_15,X_28),meet(X_28,X_15))))))) )],[refute_0_945,refute_0_947]) ).

cnf(refute_0_949,plain,
    join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)) = join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))),
    inference(subst,[],[refute_0_115:[bind(X,$fot(meet(X_28,X_15))),bind(Y,$fot(meet(X_15,meet(X_28,X_158))))]]) ).

cnf(refute_0_950,plain,
    meet(X_15,X_15) = X_15,
    inference(subst,[],[idempotence_of_meet:[bind(X,$fot(X_15))]]) ).

cnf(refute_0_951,plain,
    meet(X_28,meet(X_15,X_15)) = meet(X_28,meet(X_15,X_15)),
    introduced(tautology,[refl,[$fot(meet(X_28,meet(X_15,X_15)))]]) ).

cnf(refute_0_952,plain,
    ( meet(X_15,X_15) != X_15
    | meet(X_28,meet(X_15,X_15)) != meet(X_28,meet(X_15,X_15))
    | meet(X_28,meet(X_15,X_15)) = meet(X_28,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_28,meet(X_15,X_15)),meet(X_28,meet(X_15,X_15))) ),[1,1],$fot(X_15)]]) ).

cnf(refute_0_953,plain,
    ( meet(X_15,X_15) != X_15
    | meet(X_28,meet(X_15,X_15)) = meet(X_28,X_15) ),
    inference(resolve,[$cnf( $equal(meet(X_28,meet(X_15,X_15)),meet(X_28,meet(X_15,X_15))) )],[refute_0_951,refute_0_952]) ).

cnf(refute_0_954,plain,
    meet(X_28,meet(X_15,X_15)) = meet(X_28,X_15),
    inference(resolve,[$cnf( $equal(meet(X_15,X_15),X_15) )],[refute_0_950,refute_0_953]) ).

cnf(refute_0_955,plain,
    meet(X_28,meet(X_15,meet(X_15,X_28))) = meet(X_28,meet(X_15,X_15)),
    inference(subst,[],[refute_0_526:[bind(X_10,$fot(X_28)),bind(X_43,$fot(X_15)),bind(X_44,$fot(X_15))]]) ).

cnf(refute_0_956,plain,
    ( meet(X_28,meet(X_15,X_15)) != meet(X_28,X_15)
    | meet(X_28,meet(X_15,meet(X_15,X_28))) != meet(X_28,meet(X_15,X_15))
    | meet(X_28,meet(X_15,meet(X_15,X_28))) = meet(X_28,X_15) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_28,meet(X_15,meet(X_15,X_28))))),bind(Y0,$fot(meet(X_28,meet(X_15,X_15)))),bind(Z0,$fot(meet(X_28,X_15)))]]) ).

cnf(refute_0_957,plain,
    ( meet(X_28,meet(X_15,X_15)) != meet(X_28,X_15)
    | meet(X_28,meet(X_15,meet(X_15,X_28))) = meet(X_28,X_15) ),
    inference(resolve,[$cnf( $equal(meet(X_28,meet(X_15,meet(X_15,X_28))),meet(X_28,meet(X_15,X_15))) )],[refute_0_955,refute_0_956]) ).

cnf(refute_0_958,plain,
    meet(X_28,meet(X_15,meet(X_15,X_28))) = meet(X_28,X_15),
    inference(resolve,[$cnf( $equal(meet(X_28,meet(X_15,X_15)),meet(X_28,X_15)) )],[refute_0_954,refute_0_957]) ).

cnf(refute_0_959,plain,
    join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))),
    introduced(tautology,[refl,[$fot(join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))))]]) ).

cnf(refute_0_960,plain,
    ( join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))) != join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28))))
    | meet(X_28,meet(X_15,meet(X_15,X_28))) != meet(X_28,X_15)
    | join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))),join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28))))) ),[1,1],$fot(meet(X_28,X_15))]]) ).

cnf(refute_0_961,plain,
    ( meet(X_28,meet(X_15,meet(X_15,X_28))) != meet(X_28,X_15)
    | join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))),join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28))))) )],[refute_0_959,refute_0_960]) ).

cnf(refute_0_962,plain,
    join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)),
    inference(resolve,[$cnf( $equal(meet(X_28,meet(X_15,meet(X_15,X_28))),meet(X_28,X_15)) )],[refute_0_958,refute_0_961]) ).

cnf(refute_0_963,plain,
    meet(meet(X_15,X_28),X_158) = meet(X_15,meet(X_28,X_158)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_15)),bind(Y,$fot(X_28)),bind(Z,$fot(X_158))]]) ).

cnf(refute_0_964,plain,
    join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))),
    introduced(tautology,[refl,[$fot(join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))))]]) ).

cnf(refute_0_965,plain,
    ( join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) != join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28))))
    | meet(meet(X_15,X_28),X_158) != meet(X_15,meet(X_28,X_158))
    | join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))),join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28))))) ),[1,0],$fot(meet(X_15,meet(X_28,X_158)))]]) ).

cnf(refute_0_966,plain,
    ( meet(meet(X_15,X_28),X_158) != meet(X_15,meet(X_28,X_158))
    | join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))),join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28))))) )],[refute_0_964,refute_0_965]) ).

cnf(refute_0_967,plain,
    join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))),
    inference(resolve,[$cnf( $equal(meet(meet(X_15,X_28),X_158),meet(X_15,meet(X_28,X_158))) )],[refute_0_963,refute_0_966]) ).

cnf(refute_0_968,plain,
    ( join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))) != join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15))
    | join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) != join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28))))
    | join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))))),bind(Y0,$fot(join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))))),bind(Z0,$fot(join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15))))]]) ).

cnf(refute_0_969,plain,
    ( join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))) != join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15))
    | join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))),join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28))))) )],[refute_0_967,refute_0_968]) ).

cnf(refute_0_970,plain,
    join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)),
    inference(resolve,[$cnf( $equal(join(meet(X_15,meet(X_28,X_158)),meet(X_28,meet(X_15,meet(X_15,X_28)))),join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15))) )],[refute_0_962,refute_0_969]) ).

cnf(refute_0_971,plain,
    ( join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)) != join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158)))
    | join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) != join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15))
    | join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))))),bind(Y0,$fot(join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)))),bind(Z0,$fot(join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158)))))]]) ).

cnf(refute_0_972,plain,
    ( join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)) != join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158)))
    | join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))),join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15))) )],[refute_0_970,refute_0_971]) ).

cnf(refute_0_973,plain,
    join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) = join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))),
    inference(resolve,[$cnf( $equal(join(meet(X_15,meet(X_28,X_158)),meet(X_28,X_15)),join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158)))) )],[refute_0_949,refute_0_972]) ).

cnf(refute_0_974,plain,
    join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44)))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(X_157)),bind(Y,$fot(X_158)),bind(Z,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_975,plain,
    meet(X_157,meet(X_43,X_44)) = meet(X_43,meet(X_44,X_157)),
    inference(subst,[],[refute_0_59:[bind(X,$fot(X_157))]]) ).

cnf(refute_0_976,plain,
    ( join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44))))))
    | meet(X_157,meet(X_43,X_44)) != meet(X_43,meet(X_44,X_157))
    | join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))),meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44))))))) ),[0,1],$fot(meet(X_43,meet(X_44,X_157)))]]) ).

cnf(refute_0_977,plain,
    ( join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44))))))
    | join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44)))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,meet(X_43,X_44)),meet(X_43,meet(X_44,X_157))) )],[refute_0_975,refute_0_976]) ).

cnf(refute_0_978,plain,
    join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44)))))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))),meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44))))))) )],[refute_0_974,refute_0_977]) ).

cnf(refute_0_979,plain,
    ( join(meet(X,Y),meet(X,Z)) != meet(X,join(meet(X,Y),join(meet(X,Z),meet(Y,join(X,Z)))))
    | meet(X,join(meet(X,Y),join(meet(X,Z),meet(Y,join(X,Z))))) = join(meet(X,Y),meet(X,Z)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(X,Y),meet(X,Z)))),bind(Y0,$fot(meet(X,join(meet(X,Y),join(meet(X,Z),meet(Y,join(X,Z)))))))]]) ).

cnf(refute_0_980,plain,
    meet(X,join(meet(X,Y),join(meet(X,Z),meet(Y,join(X,Z))))) = join(meet(X,Y),meet(X,Z)),
    inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(X,Z)),meet(X,join(meet(X,Y),join(meet(X,Z),meet(Y,join(X,Z)))))) )],[equation_H18,refute_0_979]) ).

cnf(refute_0_981,plain,
    meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44)))))) = join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))),
    inference(subst,[],[refute_0_980:[bind(X,$fot(X_157)),bind(Y,$fot(X_158)),bind(Z,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_982,plain,
    ( join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44))))))
    | meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44)))))) != join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44)))
    | join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))) = join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))),join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44)))) ),[0],$fot(meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44)))))))]]) ).

cnf(refute_0_983,plain,
    ( join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44))))))
    | join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))) = join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44)))))),join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44)))) )],[refute_0_981,refute_0_982]) ).

cnf(refute_0_984,plain,
    join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))) = join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))),meet(X_157,join(meet(X_157,X_158),join(meet(X_157,meet(X_43,X_44)),meet(X_158,join(X_157,meet(X_43,X_44))))))) )],[refute_0_978,refute_0_983]) ).

cnf(refute_0_985,plain,
    ( join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))) != join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44)))
    | join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))) = join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))))),bind(Y0,$fot(join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44)))))]]) ).

cnf(refute_0_986,plain,
    join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44))) = join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,X_158),meet(X_43,meet(X_44,X_157))),join(meet(X_157,X_158),meet(X_157,meet(X_43,X_44)))) )],[refute_0_984,refute_0_985]) ).

cnf(refute_0_987,plain,
    join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) = join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))),
    inference(subst,[],[refute_0_986:[bind(X_157,$fot(meet(X_15,X_28))),bind(X_43,$fot(X_28)),bind(X_44,$fot(X_15))]]) ).

cnf(refute_0_988,plain,
    ( join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) != join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158)))
    | join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) != join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28))))
    | join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) = join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))))),bind(Y0,$fot(join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))))),bind(Z0,$fot(join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158)))))]]) ).

cnf(refute_0_989,plain,
    ( join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))) != join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158)))
    | join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) = join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))),join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28))))) )],[refute_0_987,refute_0_988]) ).

cnf(refute_0_990,plain,
    join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) = join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(X_28,meet(X_15,meet(X_15,X_28)))),join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158)))) )],[refute_0_973,refute_0_989]) ).

cnf(refute_0_991,plain,
    ( join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) != join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158)))
    | join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) != meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))
    | join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) = meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))),meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) ),[0],$fot(join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))))]]) ).

cnf(refute_0_992,plain,
    ( join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) != meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))
    | join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) = meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))),join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158)))) )],[refute_0_990,refute_0_991]) ).

cnf(refute_0_993,plain,
    meet(X_15,meet(X_28,X_15)) = meet(X_15,X_28),
    inference(subst,[],[refute_0_49:[bind(X_10,$fot(X_15)),bind(X_15,$fot(X_28))]]) ).

cnf(refute_0_994,plain,
    join(meet(X_15,X_28),meet(X_158,meet(X_15,X_28))) = meet(X_15,X_28),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_15,X_28))),bind(Y,$fot(X_158))]]) ).

cnf(refute_0_995,plain,
    meet(X_28,X_28) = X_28,
    inference(subst,[],[idempotence_of_meet:[bind(X,$fot(X_28))]]) ).

cnf(refute_0_996,plain,
    meet(X_15,meet(X_28,X_28)) = meet(X_15,meet(X_28,X_28)),
    introduced(tautology,[refl,[$fot(meet(X_15,meet(X_28,X_28)))]]) ).

cnf(refute_0_997,plain,
    ( meet(X_15,meet(X_28,X_28)) != meet(X_15,meet(X_28,X_28))
    | meet(X_28,X_28) != X_28
    | meet(X_15,meet(X_28,X_28)) = meet(X_15,X_28) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_15,meet(X_28,X_28)),meet(X_15,meet(X_28,X_28))) ),[1,1],$fot(X_28)]]) ).

cnf(refute_0_998,plain,
    ( meet(X_28,X_28) != X_28
    | meet(X_15,meet(X_28,X_28)) = meet(X_15,X_28) ),
    inference(resolve,[$cnf( $equal(meet(X_15,meet(X_28,X_28)),meet(X_15,meet(X_28,X_28))) )],[refute_0_996,refute_0_997]) ).

cnf(refute_0_999,plain,
    meet(X_15,meet(X_28,X_28)) = meet(X_15,X_28),
    inference(resolve,[$cnf( $equal(meet(X_28,X_28),X_28) )],[refute_0_995,refute_0_998]) ).

cnf(refute_0_1000,plain,
    meet(X_15,meet(X_28,meet(X_15,X_28))) = meet(X_15,meet(X_28,X_28)),
    inference(subst,[],[refute_0_84:[bind(X_15,$fot(X_28)),bind(X_43,$fot(X_15)),bind(X_45,$fot(X_28))]]) ).

cnf(refute_0_1001,plain,
    meet(X_43,meet(X_44,X)) = meet(X_44,meet(X_43,X)),
    inference(subst,[],[refute_0_428:[bind(X_43,$fot(X_44)),bind(X_44,$fot(X_43)),bind(X_45,$fot(X))]]) ).

cnf(refute_0_1002,plain,
    ( meet(X,meet(X_43,X_44)) != meet(X_43,meet(X_44,X))
    | meet(X_43,meet(X_44,X)) != meet(X_44,meet(X_43,X))
    | meet(X,meet(X_43,X_44)) = meet(X_44,meet(X_43,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X,meet(X_43,X_44)),meet(X_44,meet(X_43,X))) ),[0],$fot(meet(X_43,meet(X_44,X)))]]) ).

cnf(refute_0_1003,plain,
    ( meet(X,meet(X_43,X_44)) != meet(X_43,meet(X_44,X))
    | meet(X,meet(X_43,X_44)) = meet(X_44,meet(X_43,X)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_44,X)),meet(X_44,meet(X_43,X))) )],[refute_0_1001,refute_0_1002]) ).

cnf(refute_0_1004,plain,
    meet(X,meet(X_43,X_44)) = meet(X_44,meet(X_43,X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_43,X_44)),meet(X_43,meet(X_44,X))) )],[refute_0_59,refute_0_1003]) ).

cnf(refute_0_1005,plain,
    ( meet(X,meet(X_43,X_44)) != meet(X_44,meet(X_43,X))
    | meet(X_44,meet(X_43,X)) = meet(X,meet(X_43,X_44)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,meet(X_43,X_44)))),bind(Y0,$fot(meet(X_44,meet(X_43,X))))]]) ).

cnf(refute_0_1006,plain,
    meet(X_44,meet(X_43,X)) = meet(X,meet(X_43,X_44)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_43,X_44)),meet(X_44,meet(X_43,X))) )],[refute_0_1004,refute_0_1005]) ).

cnf(refute_0_1007,plain,
    meet(meet(X_15,X_28),meet(X_28,X_15)) = meet(X_15,meet(X_28,meet(X_15,X_28))),
    inference(subst,[],[refute_0_1006:[bind(X,$fot(X_15)),bind(X_43,$fot(X_28)),bind(X_44,$fot(meet(X_15,X_28)))]]) ).

cnf(refute_0_1008,plain,
    ( meet(X_15,meet(X_28,meet(X_15,X_28))) != meet(X_15,meet(X_28,X_28))
    | meet(meet(X_15,X_28),meet(X_28,X_15)) != meet(X_15,meet(X_28,meet(X_15,X_28)))
    | meet(meet(X_15,X_28),meet(X_28,X_15)) = meet(X_15,meet(X_28,X_28)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_15,X_28),meet(X_28,X_15)))),bind(Y0,$fot(meet(X_15,meet(X_28,meet(X_15,X_28))))),bind(Z0,$fot(meet(X_15,meet(X_28,X_28))))]]) ).

cnf(refute_0_1009,plain,
    ( meet(X_15,meet(X_28,meet(X_15,X_28))) != meet(X_15,meet(X_28,X_28))
    | meet(meet(X_15,X_28),meet(X_28,X_15)) = meet(X_15,meet(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_15,meet(X_28,meet(X_15,X_28)))) )],[refute_0_1007,refute_0_1008]) ).

cnf(refute_0_1010,plain,
    meet(meet(X_15,X_28),meet(X_28,X_15)) = meet(X_15,meet(X_28,X_28)),
    inference(resolve,[$cnf( $equal(meet(X_15,meet(X_28,meet(X_15,X_28))),meet(X_15,meet(X_28,X_28))) )],[refute_0_1000,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    ( meet(X_15,meet(X_28,X_28)) != meet(X_15,X_28)
    | meet(meet(X_15,X_28),meet(X_28,X_15)) != meet(X_15,meet(X_28,X_28))
    | meet(meet(X_15,X_28),meet(X_28,X_15)) = meet(X_15,X_28) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_15,X_28),meet(X_28,X_15)))),bind(Y0,$fot(meet(X_15,meet(X_28,X_28)))),bind(Z0,$fot(meet(X_15,X_28)))]]) ).

cnf(refute_0_1012,plain,
    ( meet(X_15,meet(X_28,X_28)) != meet(X_15,X_28)
    | meet(meet(X_15,X_28),meet(X_28,X_15)) = meet(X_15,X_28) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_15,meet(X_28,X_28))) )],[refute_0_1010,refute_0_1011]) ).

cnf(refute_0_1013,plain,
    meet(meet(X_15,X_28),meet(X_28,X_15)) = meet(X_15,X_28),
    inference(resolve,[$cnf( $equal(meet(X_15,meet(X_28,X_28)),meet(X_15,X_28)) )],[refute_0_999,refute_0_1012]) ).

cnf(refute_0_1014,plain,
    join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) = join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))),
    introduced(tautology,[refl,[$fot(join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))]]) ).

cnf(refute_0_1015,plain,
    ( join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) != join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))
    | meet(meet(X_15,X_28),meet(X_28,X_15)) != meet(X_15,X_28)
    | join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) = join(meet(X_15,X_28),meet(X_158,meet(X_15,X_28))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))) ),[1,0],$fot(meet(X_15,X_28))]]) ).

cnf(refute_0_1016,plain,
    ( meet(meet(X_15,X_28),meet(X_28,X_15)) != meet(X_15,X_28)
    | join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) = join(meet(X_15,X_28),meet(X_158,meet(X_15,X_28))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))) )],[refute_0_1014,refute_0_1015]) ).

cnf(refute_0_1017,plain,
    join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) = join(meet(X_15,X_28),meet(X_158,meet(X_15,X_28))),
    inference(resolve,[$cnf( $equal(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_15,X_28)) )],[refute_0_1013,refute_0_1016]) ).

cnf(refute_0_1018,plain,
    ( join(meet(X_15,X_28),meet(X_158,meet(X_15,X_28))) != meet(X_15,X_28)
    | join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) != join(meet(X_15,X_28),meet(X_158,meet(X_15,X_28)))
    | join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) = meet(X_15,X_28) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))),bind(Y0,$fot(join(meet(X_15,X_28),meet(X_158,meet(X_15,X_28))))),bind(Z0,$fot(meet(X_15,X_28)))]]) ).

cnf(refute_0_1019,plain,
    ( join(meet(X_15,X_28),meet(X_158,meet(X_15,X_28))) != meet(X_15,X_28)
    | join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) = meet(X_15,X_28) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))),join(meet(X_15,X_28),meet(X_158,meet(X_15,X_28)))) )],[refute_0_1017,refute_0_1018]) ).

cnf(refute_0_1020,plain,
    join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) = meet(X_15,X_28),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_28),meet(X_158,meet(X_15,X_28))),meet(X_15,X_28)) )],[refute_0_994,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    join(meet(X_28,X_15),join(X_65,meet(X_15,X_28))) = join(X_65,join(meet(X_15,X_28),meet(X_28,X_15))),
    inference(subst,[],[refute_0_167:[bind(X,$fot(meet(X_28,X_15))),bind(X_31,$fot(X_65)),bind(X_32,$fot(meet(X_15,X_28)))]]) ).

cnf(refute_0_1022,plain,
    ( join(meet(X_15,X_28),meet(X_28,X_15)) != meet(X_15,X_28)
    | join(meet(X_28,X_15),join(X_65,meet(X_15,X_28))) != join(X_65,join(meet(X_15,X_28),meet(X_28,X_15)))
    | join(meet(X_28,X_15),join(X_65,meet(X_15,X_28))) = join(X_65,meet(X_15,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_28,X_15),join(X_65,meet(X_15,X_28))),join(X_65,join(meet(X_15,X_28),meet(X_28,X_15)))) ),[1,1],$fot(meet(X_15,X_28))]]) ).

cnf(refute_0_1023,plain,
    ( join(meet(X_28,X_15),join(X_65,meet(X_15,X_28))) != join(X_65,join(meet(X_15,X_28),meet(X_28,X_15)))
    | join(meet(X_28,X_15),join(X_65,meet(X_15,X_28))) = join(X_65,meet(X_15,X_28)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_28),meet(X_28,X_15)),meet(X_15,X_28)) )],[refute_0_889,refute_0_1022]) ).

cnf(refute_0_1024,plain,
    join(meet(X_28,X_15),join(X_65,meet(X_15,X_28))) = join(X_65,meet(X_15,X_28)),
    inference(resolve,[$cnf( $equal(join(meet(X_28,X_15),join(X_65,meet(X_15,X_28))),join(X_65,join(meet(X_15,X_28),meet(X_28,X_15)))) )],[refute_0_1021,refute_0_1023]) ).

cnf(refute_0_1025,plain,
    join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))) = join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))),
    inference(subst,[],[refute_0_1024:[bind(X_15,$fot(X_158)),bind(X_28,$fot(meet(X_15,X_28))),bind(X_65,$fot(meet(meet(X_15,X_28),meet(X_28,X_15))))]]) ).

cnf(refute_0_1026,plain,
    ( join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))) != join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))
    | join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) != meet(X_15,X_28)
    | join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))) = meet(X_15,X_28) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))),bind(Y0,$fot(join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))),bind(Z0,$fot(meet(X_15,X_28)))]]) ).

cnf(refute_0_1027,plain,
    ( join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))) != meet(X_15,X_28)
    | join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))) = meet(X_15,X_28) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))) )],[refute_0_1025,refute_0_1026]) ).

cnf(refute_0_1028,plain,
    join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))) = meet(X_15,X_28),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))),meet(X_15,X_28)) )],[refute_0_1020,refute_0_1027]) ).

cnf(refute_0_1029,plain,
    meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))),
    introduced(tautology,[refl,[$fot(meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))))]]) ).

cnf(refute_0_1030,plain,
    ( join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))) != meet(X_15,X_28)
    | meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) != meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))
    | meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_28,meet(X_15,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))),meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) ),[1,1],$fot(meet(X_15,X_28))]]) ).

cnf(refute_0_1031,plain,
    ( join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))) != meet(X_15,X_28)
    | meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_28,meet(X_15,X_28)) ),
    inference(resolve,[$cnf( $equal(meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))),meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) )],[refute_0_1029,refute_0_1030]) ).

cnf(refute_0_1032,plain,
    meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_28,meet(X_15,X_28)),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))),meet(X_15,X_28)) )],[refute_0_1028,refute_0_1031]) ).

cnf(refute_0_1033,plain,
    ( meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) != meet(X_28,meet(X_15,X_28))
    | meet(X_28,meet(X_15,X_28)) != meet(X_28,X_15)
    | meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_28,X_15) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))))),bind(Y0,$fot(meet(X_28,meet(X_15,X_28)))),bind(Z0,$fot(meet(X_28,X_15)))]]) ).

cnf(refute_0_1034,plain,
    ( meet(X_28,meet(X_15,X_28)) != meet(X_28,X_15)
    | meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_28,X_15) ),
    inference(resolve,[$cnf( $equal(meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))),meet(X_28,meet(X_15,X_28))) )],[refute_0_1032,refute_0_1033]) ).

cnf(refute_0_1035,plain,
    meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_28,X_15),
    inference(resolve,[$cnf( $equal(meet(X_28,meet(X_15,X_28)),meet(X_28,X_15)) )],[refute_0_886,refute_0_1034]) ).

cnf(refute_0_1036,plain,
    meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) = meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))),
    introduced(tautology,[refl,[$fot(meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))))]]) ).

cnf(refute_0_1037,plain,
    ( meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) != meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))))
    | meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) != meet(X_28,X_15)
    | meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) = meet(X_15,meet(X_28,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))),meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))))) ),[1,1],$fot(meet(X_28,X_15))]]) ).

cnf(refute_0_1038,plain,
    ( meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) != meet(X_28,X_15)
    | meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) = meet(X_15,meet(X_28,X_15)) ),
    inference(resolve,[$cnf( $equal(meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))),meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))))) )],[refute_0_1036,refute_0_1037]) ).

cnf(refute_0_1039,plain,
    meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) = meet(X_15,meet(X_28,X_15)),
    inference(resolve,[$cnf( $equal(meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))),meet(X_28,X_15)) )],[refute_0_1035,refute_0_1038]) ).

cnf(refute_0_1040,plain,
    ( meet(X_15,meet(X_28,X_15)) != meet(X_15,X_28)
    | meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) != meet(X_15,meet(X_28,X_15))
    | meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) = meet(X_15,X_28) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))))),bind(Y0,$fot(meet(X_15,meet(X_28,X_15)))),bind(Z0,$fot(meet(X_15,X_28)))]]) ).

cnf(refute_0_1041,plain,
    ( meet(X_15,meet(X_28,X_15)) != meet(X_15,X_28)
    | meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) = meet(X_15,X_28) ),
    inference(resolve,[$cnf( $equal(meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))),meet(X_15,meet(X_28,X_15))) )],[refute_0_1039,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) = meet(X_15,X_28),
    inference(resolve,[$cnf( $equal(meet(X_15,meet(X_28,X_15)),meet(X_15,X_28)) )],[refute_0_993,refute_0_1041]) ).

cnf(refute_0_1043,plain,
    meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_15)),bind(Y,$fot(X_28)),bind(Z,$fot(join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))))]]) ).

cnf(refute_0_1044,plain,
    ( meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) != meet(X_15,X_28)
    | meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) != meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))))
    | meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_15,X_28) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))))),bind(Y0,$fot(meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))))),bind(Z0,$fot(meet(X_15,X_28)))]]) ).

cnf(refute_0_1045,plain,
    ( meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) != meet(X_15,X_28)
    | meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_15,X_28) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))),meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))))) )],[refute_0_1043,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) = meet(X_15,X_28),
    inference(resolve,[$cnf( $equal(meet(X_15,meet(X_28,join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))),meet(X_15,X_28)) )],[refute_0_1042,refute_0_1045]) ).

cnf(refute_0_1047,plain,
    ( join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) != meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))
    | meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))) != meet(X_15,X_28)
    | join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) = meet(X_15,X_28) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))),meet(X_15,X_28)) ),[0],$fot(meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))))]]) ).

cnf(refute_0_1048,plain,
    ( join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) != meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))
    | join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) = meet(X_15,X_28) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28))))),meet(X_15,X_28)) )],[refute_0_1046,refute_0_1047]) ).

cnf(refute_0_1049,plain,
    ( join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))) != meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))
    | join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) = meet(X_15,X_28) ),
    inference(resolve,[$cnf( $equal(join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))),meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) )],[refute_0_992,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    join(meet(X_28,X_15),meet(X_15,meet(X_28,X_158))) = meet(X_15,X_28),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_15,X_28),X_158),meet(meet(X_15,X_28),meet(X_28,X_15))),meet(meet(X_15,X_28),join(meet(meet(X_15,X_28),X_158),join(meet(meet(X_15,X_28),meet(X_28,X_15)),meet(X_158,meet(X_15,X_28)))))) )],[refute_0_948,refute_0_1049]) ).

cnf(refute_0_1051,plain,
    join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))) = meet(X_346,X_348),
    inference(subst,[],[refute_0_1050:[bind(X_15,$fot(X_346)),bind(X_158,$fot(X_347)),bind(X_28,$fot(X_348))]]) ).

cnf(refute_0_1052,plain,
    ( join(meet(X_348,X_346),join(X_31,meet(X_346,meet(X_348,X_347)))) != join(X_31,join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))))
    | join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))) != meet(X_346,X_348)
    | join(meet(X_348,X_346),join(X_31,meet(X_346,meet(X_348,X_347)))) = join(X_31,meet(X_346,X_348)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_348,X_346),join(X_31,meet(X_346,meet(X_348,X_347)))),join(X_31,join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))))) ),[1,1],$fot(meet(X_346,X_348))]]) ).

cnf(refute_0_1053,plain,
    ( join(meet(X_348,X_346),join(X_31,meet(X_346,meet(X_348,X_347)))) != join(X_31,join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))))
    | join(meet(X_348,X_346),join(X_31,meet(X_346,meet(X_348,X_347)))) = join(X_31,meet(X_346,X_348)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))),meet(X_346,X_348)) )],[refute_0_1051,refute_0_1052]) ).

cnf(refute_0_1054,plain,
    join(meet(X_348,X_346),join(X_31,meet(X_346,meet(X_348,X_347)))) = join(X_31,meet(X_346,X_348)),
    inference(resolve,[$cnf( $equal(join(meet(X_348,X_346),join(X_31,meet(X_346,meet(X_348,X_347)))),join(X_31,join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))))) )],[refute_0_944,refute_0_1053]) ).

cnf(refute_0_1055,plain,
    join(meet(X_289,X_288),join(X_667,meet(X_288,meet(X_289,X_666)))) = join(X_667,meet(X_288,X_289)),
    inference(subst,[],[refute_0_1054:[bind(X_31,$fot(X_667)),bind(X_346,$fot(X_288)),bind(X_347,$fot(X_666)),bind(X_348,$fot(X_289))]]) ).

cnf(refute_0_1056,plain,
    ( join(meet(X_289,X_288),join(X_667,meet(X_288,meet(X_289,X_666)))) != join(X_667,meet(X_288,X_289))
    | join(meet(X_289,X_288),join(X_667,meet(X_288,meet(X_289,X_666)))) != join(X_667,meet(X_289,X_288))
    | join(X_667,meet(X_288,X_289)) = join(X_667,meet(X_289,X_288)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_289,X_288),join(X_667,meet(X_288,meet(X_289,X_666)))),join(X_667,meet(X_289,X_288))) ),[0],$fot(join(X_667,meet(X_288,X_289)))]]) ).

cnf(refute_0_1057,plain,
    ( join(meet(X_289,X_288),join(X_667,meet(X_288,meet(X_289,X_666)))) != join(X_667,meet(X_289,X_288))
    | join(X_667,meet(X_288,X_289)) = join(X_667,meet(X_289,X_288)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_289,X_288),join(X_667,meet(X_288,meet(X_289,X_666)))),join(X_667,meet(X_288,X_289))) )],[refute_0_1055,refute_0_1056]) ).

cnf(refute_0_1058,plain,
    join(X_667,meet(X_288,X_289)) = join(X_667,meet(X_289,X_288)),
    inference(resolve,[$cnf( $equal(join(meet(X_289,X_288),join(X_667,meet(X_288,meet(X_289,X_666)))),join(X_667,meet(X_289,X_288))) )],[refute_0_943,refute_0_1057]) ).

cnf(refute_0_1059,plain,
    ( join(X_667,meet(X_288,X_289)) != join(X_667,meet(X_289,X_288))
    | join(X_667,meet(X_289,X_288)) = join(X_667,meet(X_288,X_289)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_667,meet(X_288,X_289)))),bind(Y0,$fot(join(X_667,meet(X_289,X_288))))]]) ).

cnf(refute_0_1060,plain,
    join(X_667,meet(X_289,X_288)) = join(X_667,meet(X_288,X_289)),
    inference(resolve,[$cnf( $equal(join(X_667,meet(X_288,X_289)),join(X_667,meet(X_289,X_288))) )],[refute_0_1058,refute_0_1059]) ).

cnf(refute_0_1061,plain,
    join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) = join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))),
    inference(subst,[],[refute_0_1060:[bind(X_288,$fot(b)),bind(X_289,$fot(meet(b,meet(X_712,join(a,meet(b,a)))))),bind(X_667,$fot(X_279))]]) ).

cnf(refute_0_1062,plain,
    ( join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))) != join(X_279,meet(a,X_712))
    | join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) != join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a))))))
    | join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) = join(X_279,meet(a,X_712)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)))),bind(Y0,$fot(join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))))),bind(Z0,$fot(join(X_279,meet(a,X_712))))]]) ).

cnf(refute_0_1063,plain,
    ( join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))) != join(X_279,meet(a,X_712))
    | join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) = join(X_279,meet(a,X_712)) ),
    inference(resolve,[$cnf( $equal(join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)),join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a))))))) )],[refute_0_1061,refute_0_1062]) ).

cnf(refute_0_1064,plain,
    join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) = join(X_279,meet(a,X_712)),
    inference(resolve,[$cnf( $equal(join(X_279,meet(b,meet(b,meet(X_712,join(a,meet(b,a)))))),join(X_279,meet(a,X_712))) )],[refute_0_936,refute_0_1063]) ).

cnf(refute_0_1065,plain,
    ( join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) != join(X_279,meet(a,X_712))
    | join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) != join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))
    | join(X_279,meet(a,X_712)) = join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)),join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))) ),[0],$fot(join(X_279,meet(a,X_712)))]]) ).

cnf(refute_0_1066,plain,
    ( join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) != join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))
    | join(X_279,meet(a,X_712)) = join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)) ),
    inference(resolve,[$cnf( $equal(join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)),join(X_279,meet(a,X_712))) )],[refute_0_1064,refute_0_1065]) ).

cnf(refute_0_1067,plain,
    join(meet(X_712,a),join(meet(a,X_712),X_279)) = join(meet(X_712,a),X_279),
    inference(subst,[],[refute_0_899:[bind(Z,$fot(X_279)),bind(X_54,$fot(X_712)),bind(X_55,$fot(a))]]) ).

cnf(refute_0_1068,plain,
    join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279) = join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279),
    introduced(tautology,[refl,[$fot(join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))]]) ).

cnf(refute_0_1069,plain,
    ( join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279) != join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)
    | meet(b,meet(b,meet(X_712,join(a,meet(b,a))))) != meet(a,X_712)
    | join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279) = join(meet(a,X_712),X_279) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) ),[1,0],$fot(meet(a,X_712))]]) ).

cnf(refute_0_1070,plain,
    ( meet(b,meet(b,meet(X_712,join(a,meet(b,a))))) != meet(a,X_712)
    | join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279) = join(meet(a,X_712),X_279) ),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) )],[refute_0_1068,refute_0_1069]) ).

cnf(refute_0_1071,plain,
    join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279) = join(meet(a,X_712),X_279),
    inference(resolve,[$cnf( $equal(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),meet(a,X_712)) )],[refute_0_932,refute_0_1070]) ).

cnf(refute_0_1072,plain,
    join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),
    introduced(tautology,[refl,[$fot(join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)))]]) ).

cnf(refute_0_1073,plain,
    ( join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) != join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))
    | join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279) != join(meet(a,X_712),X_279)
    | join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),join(meet(a,X_712),X_279)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))) ),[1,1],$fot(join(meet(a,X_712),X_279))]]) ).

cnf(refute_0_1074,plain,
    ( join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279) != join(meet(a,X_712),X_279)
    | join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),join(meet(a,X_712),X_279)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))) )],[refute_0_1072,refute_0_1073]) ).

cnf(refute_0_1075,plain,
    join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),join(meet(a,X_712),X_279)),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279),join(meet(a,X_712),X_279)) )],[refute_0_1071,refute_0_1074]) ).

cnf(refute_0_1076,plain,
    meet(X_712,meet(a,b)) = meet(X_712,meet(a,b)),
    introduced(tautology,[refl,[$fot(meet(X_712,meet(a,b)))]]) ).

cnf(refute_0_1077,plain,
    ( meet(X_712,meet(a,b)) != meet(X_712,meet(a,b))
    | meet(a,b) != a
    | meet(X_712,meet(a,b)) = meet(X_712,a) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_712,meet(a,b)),meet(X_712,meet(a,b))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_1078,plain,
    ( meet(a,b) != a
    | meet(X_712,meet(a,b)) = meet(X_712,a) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(a,b)),meet(X_712,meet(a,b))) )],[refute_0_1076,refute_0_1077]) ).

cnf(refute_0_1079,plain,
    meet(X_712,meet(a,b)) = meet(X_712,a),
    inference(resolve,[$cnf( $equal(meet(a,b),a) )],[refute_0_110,refute_0_1078]) ).

cnf(refute_0_1080,plain,
    join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),
    introduced(tautology,[refl,[$fot(join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)))]]) ).

cnf(refute_0_1081,plain,
    ( join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) != join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))
    | meet(X_712,meet(a,b)) != meet(X_712,a)
    | join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))) ),[1,0],$fot(meet(X_712,a))]]) ).

cnf(refute_0_1082,plain,
    ( meet(X_712,meet(a,b)) != meet(X_712,a)
    | join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))) )],[refute_0_1080,refute_0_1081]) ).

cnf(refute_0_1083,plain,
    join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(a,b)),meet(X_712,a)) )],[refute_0_1079,refute_0_1082]) ).

cnf(refute_0_1084,plain,
    ( join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) != join(meet(X_712,a),join(meet(a,X_712),X_279))
    | join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) != join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))
    | join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),join(meet(a,X_712),X_279)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)))),bind(Y0,$fot(join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)))),bind(Z0,$fot(join(meet(X_712,a),join(meet(a,X_712),X_279))))]]) ).

cnf(refute_0_1085,plain,
    ( join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) != join(meet(X_712,a),join(meet(a,X_712),X_279))
    | join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),join(meet(a,X_712),X_279)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))) )],[refute_0_1083,refute_0_1084]) ).

cnf(refute_0_1086,plain,
    join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),join(meet(a,X_712),X_279)),
    inference(resolve,[$cnf( $equal(join(meet(X_712,a),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),join(meet(X_712,a),join(meet(a,X_712),X_279))) )],[refute_0_1075,refute_0_1085]) ).

cnf(refute_0_1087,plain,
    ( join(meet(X_712,a),join(meet(a,X_712),X_279)) != join(meet(X_712,a),X_279)
    | join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) != join(meet(X_712,a),join(meet(a,X_712),X_279))
    | join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),X_279) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)))),bind(Y0,$fot(join(meet(X_712,a),join(meet(a,X_712),X_279)))),bind(Z0,$fot(join(meet(X_712,a),X_279)))]]) ).

cnf(refute_0_1088,plain,
    ( join(meet(X_712,a),join(meet(a,X_712),X_279)) != join(meet(X_712,a),X_279)
    | join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),X_279) ),
    inference(resolve,[$cnf( $equal(join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),join(meet(X_712,a),join(meet(a,X_712),X_279))) )],[refute_0_1086,refute_0_1087]) ).

cnf(refute_0_1089,plain,
    join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) = join(meet(X_712,a),X_279),
    inference(resolve,[$cnf( $equal(join(meet(X_712,a),join(meet(a,X_712),X_279)),join(meet(X_712,a),X_279)) )],[refute_0_1067,refute_0_1088]) ).

cnf(refute_0_1090,plain,
    join(join(X,meet(b,X_456)),Z) = join(X,join(meet(b,X_456),Z)),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(b,X_456)))]]) ).

cnf(refute_0_1091,plain,
    join(X,meet(b,X_456)) = join(X,meet(X_456,b)),
    inference(subst,[],[refute_0_910:[bind(X_331,$fot(X_456))]]) ).

cnf(refute_0_1092,plain,
    ( join(X,meet(b,X_456)) != join(X,meet(X_456,b))
    | join(join(X,meet(b,X_456)),Z) != join(X,join(meet(b,X_456),Z))
    | join(join(X,meet(X_456,b)),Z) = join(X,join(meet(b,X_456),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(b,X_456)),Z),join(X,join(meet(b,X_456),Z))) ),[0,0],$fot(join(X,meet(X_456,b)))]]) ).

cnf(refute_0_1093,plain,
    ( join(join(X,meet(b,X_456)),Z) != join(X,join(meet(b,X_456),Z))
    | join(join(X,meet(X_456,b)),Z) = join(X,join(meet(b,X_456),Z)) ),
    inference(resolve,[$cnf( $equal(join(X,meet(b,X_456)),join(X,meet(X_456,b))) )],[refute_0_1091,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    join(join(X,meet(X_456,b)),Z) = join(X,join(meet(b,X_456),Z)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(b,X_456)),Z),join(X,join(meet(b,X_456),Z))) )],[refute_0_1090,refute_0_1093]) ).

cnf(refute_0_1095,plain,
    join(join(X,meet(X_456,b)),Z) = join(X,join(meet(X_456,b),Z)),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(X_456,b)))]]) ).

cnf(refute_0_1096,plain,
    ( join(join(X,meet(X_456,b)),Z) != join(X,join(meet(X_456,b),Z))
    | join(join(X,meet(X_456,b)),Z) != join(X,join(meet(b,X_456),Z))
    | join(X,join(meet(X_456,b),Z)) = join(X,join(meet(b,X_456),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(X_456,b)),Z),join(X,join(meet(b,X_456),Z))) ),[0],$fot(join(X,join(meet(X_456,b),Z)))]]) ).

cnf(refute_0_1097,plain,
    ( join(join(X,meet(X_456,b)),Z) != join(X,join(meet(b,X_456),Z))
    | join(X,join(meet(X_456,b),Z)) = join(X,join(meet(b,X_456),Z)) ),
    inference(resolve,[$cnf( $equal(join(join(X,meet(X_456,b)),Z),join(X,join(meet(X_456,b),Z))) )],[refute_0_1095,refute_0_1096]) ).

cnf(refute_0_1098,plain,
    join(X,join(meet(X_456,b),Z)) = join(X,join(meet(b,X_456),Z)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(X_456,b)),Z),join(X,join(meet(b,X_456),Z))) )],[refute_0_1094,refute_0_1097]) ).

cnf(refute_0_1099,plain,
    join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)) = join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),
    inference(subst,[],[refute_0_1098:[bind(X,$fot(meet(X_712,meet(a,b)))),bind(Z,$fot(X_279)),bind(X_456,$fot(meet(b,meet(X_712,join(a,meet(b,a))))))]]) ).

cnf(refute_0_1100,plain,
    ( join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) != join(meet(X_712,a),X_279)
    | join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)) != join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))
    | join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)) = join(meet(X_712,a),X_279) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)))),bind(Y0,$fot(join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)))),bind(Z0,$fot(join(meet(X_712,a),X_279)))]]) ).

cnf(refute_0_1101,plain,
    ( join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)) != join(meet(X_712,a),X_279)
    | join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)) = join(meet(X_712,a),X_279) ),
    inference(resolve,[$cnf( $equal(join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)),join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279))) )],[refute_0_1099,refute_0_1100]) ).

cnf(refute_0_1102,plain,
    join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)) = join(meet(X_712,a),X_279),
    inference(resolve,[$cnf( $equal(join(meet(X_712,meet(a,b)),join(meet(b,meet(b,meet(X_712,join(a,meet(b,a))))),X_279)),join(meet(X_712,a),X_279)) )],[refute_0_1089,refute_0_1101]) ).

cnf(refute_0_1103,plain,
    ( join(X_279,meet(a,X_712)) != join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))
    | join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)) != join(meet(X_712,a),X_279)
    | join(X_279,meet(a,X_712)) = join(meet(X_712,a),X_279) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_279,meet(a,X_712)),join(meet(X_712,a),X_279)) ),[0],$fot(join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)))]]) ).

cnf(refute_0_1104,plain,
    ( join(X_279,meet(a,X_712)) != join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))
    | join(X_279,meet(a,X_712)) = join(meet(X_712,a),X_279) ),
    inference(resolve,[$cnf( $equal(join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279)),join(meet(X_712,a),X_279)) )],[refute_0_1102,refute_0_1103]) ).

cnf(refute_0_1105,plain,
    ( join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)) != join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))
    | join(X_279,meet(a,X_712)) = join(meet(X_712,a),X_279) ),
    inference(resolve,[$cnf( $equal(join(X_279,meet(a,X_712)),join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))) )],[refute_0_1066,refute_0_1104]) ).

cnf(refute_0_1106,plain,
    join(X_279,meet(a,X_712)) = join(meet(X_712,a),X_279),
    inference(resolve,[$cnf( $equal(join(X_279,meet(meet(b,meet(X_712,join(a,meet(b,a)))),b)),join(meet(X_712,meet(a,b)),join(meet(meet(b,meet(X_712,join(a,meet(b,a)))),b),X_279))) )],[refute_0_776,refute_0_1105]) ).

cnf(refute_0_1107,plain,
    join(X_714,meet(a,meet(X_43,X_44))) = join(meet(meet(X_43,X_44),a),X_714),
    inference(subst,[],[refute_0_1106:[bind(X_279,$fot(X_714)),bind(X_712,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_1108,plain,
    meet(a,meet(X_43,X_44)) = meet(X_43,meet(X_44,a)),
    inference(subst,[],[refute_0_59:[bind(X,$fot(a))]]) ).

cnf(refute_0_1109,plain,
    ( join(X_714,meet(a,meet(X_43,X_44))) != join(meet(meet(X_43,X_44),a),X_714)
    | meet(a,meet(X_43,X_44)) != meet(X_43,meet(X_44,a))
    | join(X_714,meet(X_43,meet(X_44,a))) = join(meet(meet(X_43,X_44),a),X_714) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_714,meet(a,meet(X_43,X_44))),join(meet(meet(X_43,X_44),a),X_714)) ),[0,1],$fot(meet(X_43,meet(X_44,a)))]]) ).

cnf(refute_0_1110,plain,
    ( join(X_714,meet(a,meet(X_43,X_44))) != join(meet(meet(X_43,X_44),a),X_714)
    | join(X_714,meet(X_43,meet(X_44,a))) = join(meet(meet(X_43,X_44),a),X_714) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_43,X_44)),meet(X_43,meet(X_44,a))) )],[refute_0_1108,refute_0_1109]) ).

cnf(refute_0_1111,plain,
    join(X_714,meet(X_43,meet(X_44,a))) = join(meet(meet(X_43,X_44),a),X_714),
    inference(resolve,[$cnf( $equal(join(X_714,meet(a,meet(X_43,X_44))),join(meet(meet(X_43,X_44),a),X_714)) )],[refute_0_1107,refute_0_1110]) ).

cnf(refute_0_1112,plain,
    join(meet(a,X_715),Y) = join(Y,meet(a,X_715)),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(meet(a,X_715)))]]) ).

cnf(refute_0_1113,plain,
    join(Y,meet(a,X_715)) = join(meet(X_715,a),Y),
    inference(subst,[],[refute_0_1106:[bind(X_279,$fot(Y)),bind(X_712,$fot(X_715))]]) ).

cnf(refute_0_1114,plain,
    ( join(Y,meet(a,X_715)) != join(meet(X_715,a),Y)
    | join(meet(a,X_715),Y) != join(Y,meet(a,X_715))
    | join(meet(a,X_715),Y) = join(meet(X_715,a),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,X_715),Y),join(Y,meet(a,X_715))) ),[1],$fot(join(meet(X_715,a),Y))]]) ).

cnf(refute_0_1115,plain,
    ( join(meet(a,X_715),Y) != join(Y,meet(a,X_715))
    | join(meet(a,X_715),Y) = join(meet(X_715,a),Y) ),
    inference(resolve,[$cnf( $equal(join(Y,meet(a,X_715)),join(meet(X_715,a),Y)) )],[refute_0_1113,refute_0_1114]) ).

cnf(refute_0_1116,plain,
    join(meet(a,X_715),Y) = join(meet(X_715,a),Y),
    inference(resolve,[$cnf( $equal(join(meet(a,X_715),Y),join(Y,meet(a,X_715))) )],[refute_0_1112,refute_0_1115]) ).

cnf(refute_0_1117,plain,
    ( join(meet(a,X_715),Y) != join(meet(X_715,a),Y)
    | join(meet(X_715,a),Y) = join(meet(a,X_715),Y) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(a,X_715),Y))),bind(Y0,$fot(join(meet(X_715,a),Y)))]]) ).

cnf(refute_0_1118,plain,
    join(meet(X_715,a),Y) = join(meet(a,X_715),Y),
    inference(resolve,[$cnf( $equal(join(meet(a,X_715),Y),join(meet(X_715,a),Y)) )],[refute_0_1116,refute_0_1117]) ).

cnf(refute_0_1119,plain,
    join(meet(meet(X_43,X_44),a),X_714) = join(meet(a,meet(X_43,X_44)),X_714),
    inference(subst,[],[refute_0_1118:[bind(Y,$fot(X_714)),bind(X_715,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_1120,plain,
    ( join(X_714,meet(X_43,meet(X_44,a))) != join(meet(meet(X_43,X_44),a),X_714)
    | join(meet(meet(X_43,X_44),a),X_714) != join(meet(a,meet(X_43,X_44)),X_714)
    | join(X_714,meet(X_43,meet(X_44,a))) = join(meet(a,meet(X_43,X_44)),X_714) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_714,meet(X_43,meet(X_44,a))),join(meet(a,meet(X_43,X_44)),X_714)) ),[0],$fot(join(meet(meet(X_43,X_44),a),X_714))]]) ).

cnf(refute_0_1121,plain,
    ( join(X_714,meet(X_43,meet(X_44,a))) != join(meet(meet(X_43,X_44),a),X_714)
    | join(X_714,meet(X_43,meet(X_44,a))) = join(meet(a,meet(X_43,X_44)),X_714) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_43,X_44),a),X_714),join(meet(a,meet(X_43,X_44)),X_714)) )],[refute_0_1119,refute_0_1120]) ).

cnf(refute_0_1122,plain,
    join(X_714,meet(X_43,meet(X_44,a))) = join(meet(a,meet(X_43,X_44)),X_714),
    inference(resolve,[$cnf( $equal(join(X_714,meet(X_43,meet(X_44,a))),join(meet(meet(X_43,X_44),a),X_714)) )],[refute_0_1111,refute_0_1121]) ).

cnf(refute_0_1123,plain,
    ( join(X_714,meet(X_43,meet(X_44,a))) != join(meet(a,meet(X_43,X_44)),X_714)
    | join(meet(a,meet(X_43,X_44)),X_714) = join(X_714,meet(X_43,meet(X_44,a))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_714,meet(X_43,meet(X_44,a))))),bind(Y0,$fot(join(meet(a,meet(X_43,X_44)),X_714)))]]) ).

cnf(refute_0_1124,plain,
    join(meet(a,meet(X_43,X_44)),X_714) = join(X_714,meet(X_43,meet(X_44,a))),
    inference(resolve,[$cnf( $equal(join(X_714,meet(X_43,meet(X_44,a))),join(meet(a,meet(X_43,X_44)),X_714)) )],[refute_0_1122,refute_0_1123]) ).

cnf(refute_0_1125,plain,
    join(meet(a,meet(X_685,Y)),meet(a,X_685)) = join(meet(a,X_685),meet(X_685,meet(Y,a))),
    inference(subst,[],[refute_0_1124:[bind(X_43,$fot(X_685)),bind(X_44,$fot(Y)),bind(X_714,$fot(meet(a,X_685)))]]) ).

cnf(refute_0_1126,plain,
    ( join(meet(a,X_685),meet(X_685,meet(Y,a))) != meet(a,X_685)
    | join(meet(a,meet(X_685,Y)),meet(a,X_685)) != join(meet(a,X_685),meet(X_685,meet(Y,a)))
    | join(meet(a,meet(X_685,Y)),meet(a,X_685)) = meet(a,X_685) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(a,meet(X_685,Y)),meet(a,X_685)))),bind(Y0,$fot(join(meet(a,X_685),meet(X_685,meet(Y,a))))),bind(Z0,$fot(meet(a,X_685)))]]) ).

cnf(refute_0_1127,plain,
    ( join(meet(a,X_685),meet(X_685,meet(Y,a))) != meet(a,X_685)
    | join(meet(a,meet(X_685,Y)),meet(a,X_685)) = meet(a,X_685) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(a,X_685)),join(meet(a,X_685),meet(X_685,meet(Y,a)))) )],[refute_0_1125,refute_0_1126]) ).

cnf(refute_0_1128,plain,
    join(meet(a,meet(X_685,Y)),meet(a,X_685)) = meet(a,X_685),
    inference(resolve,[$cnf( $equal(join(meet(a,X_685),meet(X_685,meet(Y,a))),meet(a,X_685)) )],[refute_0_520,refute_0_1127]) ).

cnf(refute_0_1129,plain,
    meet(X_9,join(join(X_31,X_32),X_9)) = X_9,
    inference(subst,[],[refute_0_40:[bind(X_10,$fot(join(X_31,X_32)))]]) ).

cnf(refute_0_1130,plain,
    join(join(X_31,X_32),X_9) = join(X_31,join(X_32,X_9)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_31)),bind(Y,$fot(X_32)),bind(Z,$fot(X_9))]]) ).

cnf(refute_0_1131,plain,
    ( join(join(X_31,X_32),X_9) != join(X_31,join(X_32,X_9))
    | meet(X_9,join(join(X_31,X_32),X_9)) != X_9
    | meet(X_9,join(X_31,join(X_32,X_9))) = X_9 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_9,join(join(X_31,X_32),X_9)),X_9) ),[0,1],$fot(join(X_31,join(X_32,X_9)))]]) ).

cnf(refute_0_1132,plain,
    ( meet(X_9,join(join(X_31,X_32),X_9)) != X_9
    | meet(X_9,join(X_31,join(X_32,X_9))) = X_9 ),
    inference(resolve,[$cnf( $equal(join(join(X_31,X_32),X_9),join(X_31,join(X_32,X_9))) )],[refute_0_1130,refute_0_1131]) ).

cnf(refute_0_1133,plain,
    meet(X_9,join(X_31,join(X_32,X_9))) = X_9,
    inference(resolve,[$cnf( $equal(meet(X_9,join(join(X_31,X_32),X_9)),X_9) )],[refute_0_1129,refute_0_1132]) ).

cnf(refute_0_1134,plain,
    meet(meet(a,X_59),join(X_196,join(meet(X_59,b),meet(a,X_59)))) = meet(a,X_59),
    inference(subst,[],[refute_0_1133:[bind(X_31,$fot(X_196)),bind(X_32,$fot(meet(X_59,b))),bind(X_9,$fot(meet(a,X_59)))]]) ).

cnf(refute_0_1135,plain,
    ( join(meet(X_59,b),meet(a,X_59)) != meet(X_59,b)
    | meet(meet(a,X_59),join(X_196,join(meet(X_59,b),meet(a,X_59)))) != meet(a,X_59)
    | meet(meet(a,X_59),join(X_196,meet(X_59,b))) = meet(a,X_59) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(a,X_59),join(X_196,join(meet(X_59,b),meet(a,X_59)))),meet(a,X_59)) ),[0,1,1],$fot(meet(X_59,b))]]) ).

cnf(refute_0_1136,plain,
    ( meet(meet(a,X_59),join(X_196,join(meet(X_59,b),meet(a,X_59)))) != meet(a,X_59)
    | meet(meet(a,X_59),join(X_196,meet(X_59,b))) = meet(a,X_59) ),
    inference(resolve,[$cnf( $equal(join(meet(X_59,b),meet(a,X_59)),meet(X_59,b)) )],[refute_0_457,refute_0_1135]) ).

cnf(refute_0_1137,plain,
    meet(meet(a,X_59),join(X_196,meet(X_59,b))) = meet(a,X_59),
    inference(resolve,[$cnf( $equal(meet(meet(a,X_59),join(X_196,join(meet(X_59,b),meet(a,X_59)))),meet(a,X_59)) )],[refute_0_1134,refute_0_1136]) ).

cnf(refute_0_1138,plain,
    meet(meet(a,X_59),join(X_196,meet(X_59,b))) = meet(a,meet(X_59,join(X_196,meet(X_59,b)))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(X_59)),bind(Z,$fot(join(X_196,meet(X_59,b))))]]) ).

cnf(refute_0_1139,plain,
    ( meet(meet(a,X_59),join(X_196,meet(X_59,b))) != meet(a,X_59)
    | meet(meet(a,X_59),join(X_196,meet(X_59,b))) != meet(a,meet(X_59,join(X_196,meet(X_59,b))))
    | meet(a,meet(X_59,join(X_196,meet(X_59,b)))) = meet(a,X_59) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(a,X_59),join(X_196,meet(X_59,b))),meet(a,X_59)) ),[0],$fot(meet(a,meet(X_59,join(X_196,meet(X_59,b)))))]]) ).

cnf(refute_0_1140,plain,
    ( meet(meet(a,X_59),join(X_196,meet(X_59,b))) != meet(a,X_59)
    | meet(a,meet(X_59,join(X_196,meet(X_59,b)))) = meet(a,X_59) ),
    inference(resolve,[$cnf( $equal(meet(meet(a,X_59),join(X_196,meet(X_59,b))),meet(a,meet(X_59,join(X_196,meet(X_59,b))))) )],[refute_0_1138,refute_0_1139]) ).

cnf(refute_0_1141,plain,
    meet(a,meet(X_59,join(X_196,meet(X_59,b)))) = meet(a,X_59),
    inference(resolve,[$cnf( $equal(meet(meet(a,X_59),join(X_196,meet(X_59,b))),meet(a,X_59)) )],[refute_0_1137,refute_0_1140]) ).

cnf(refute_0_1142,plain,
    meet(a,meet(X_802,join(X_801,meet(X_802,b)))) = meet(a,X_802),
    inference(subst,[],[refute_0_1141:[bind(X_196,$fot(X_801)),bind(X_59,$fot(X_802))]]) ).

cnf(refute_0_1143,plain,
    join(meet(X_802,b),X_801) = join(X_801,meet(X_802,b)),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(meet(X_802,b))),bind(Y,$fot(X_801))]]) ).

cnf(refute_0_1144,plain,
    ( join(meet(X_802,b),X_801) != join(X_801,meet(X_802,b))
    | join(X_801,meet(X_802,b)) = join(meet(X_802,b),X_801) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(X_802,b),X_801))),bind(Y0,$fot(join(X_801,meet(X_802,b))))]]) ).

cnf(refute_0_1145,plain,
    join(X_801,meet(X_802,b)) = join(meet(X_802,b),X_801),
    inference(resolve,[$cnf( $equal(join(meet(X_802,b),X_801),join(X_801,meet(X_802,b))) )],[refute_0_1143,refute_0_1144]) ).

cnf(refute_0_1146,plain,
    ( join(X_801,meet(X_802,b)) != join(meet(X_802,b),X_801)
    | meet(a,meet(X_802,join(X_801,meet(X_802,b)))) != meet(a,X_802)
    | meet(a,meet(X_802,join(meet(X_802,b),X_801))) = meet(a,X_802) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(X_802,join(X_801,meet(X_802,b)))),meet(a,X_802)) ),[0,1,1],$fot(join(meet(X_802,b),X_801))]]) ).

cnf(refute_0_1147,plain,
    ( meet(a,meet(X_802,join(X_801,meet(X_802,b)))) != meet(a,X_802)
    | meet(a,meet(X_802,join(meet(X_802,b),X_801))) = meet(a,X_802) ),
    inference(resolve,[$cnf( $equal(join(X_801,meet(X_802,b)),join(meet(X_802,b),X_801)) )],[refute_0_1145,refute_0_1146]) ).

cnf(refute_0_1148,plain,
    meet(a,meet(X_802,join(meet(X_802,b),X_801))) = meet(a,X_802),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_802,join(X_801,meet(X_802,b)))),meet(a,X_802)) )],[refute_0_1142,refute_0_1147]) ).

cnf(refute_0_1149,plain,
    meet(a,meet(X_685,join(meet(X_685,b),X_684))) = meet(a,X_685),
    inference(subst,[],[refute_0_1148:[bind(X_801,$fot(X_684)),bind(X_802,$fot(X_685))]]) ).

cnf(refute_0_1150,plain,
    join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),
    introduced(tautology,[refl,[$fot(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))))]]) ).

cnf(refute_0_1151,plain,
    ( join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) != join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684))))
    | meet(a,meet(X_685,join(meet(X_685,b),X_684))) != meet(a,X_685)
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = join(meet(a,meet(X_685,Y)),meet(a,X_685)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684))))) ),[1,1],$fot(meet(a,X_685))]]) ).

cnf(refute_0_1152,plain,
    ( meet(a,meet(X_685,join(meet(X_685,b),X_684))) != meet(a,X_685)
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = join(meet(a,meet(X_685,Y)),meet(a,X_685)) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684))))) )],[refute_0_1150,refute_0_1151]) ).

cnf(refute_0_1153,plain,
    join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = join(meet(a,meet(X_685,Y)),meet(a,X_685)),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(a,X_685)) )],[refute_0_1149,refute_0_1152]) ).

cnf(refute_0_1154,plain,
    ( join(meet(a,meet(X_685,Y)),meet(a,X_685)) != meet(a,X_685)
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) != join(meet(a,meet(X_685,Y)),meet(a,X_685))
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = meet(a,X_685) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))))),bind(Y0,$fot(join(meet(a,meet(X_685,Y)),meet(a,X_685)))),bind(Z0,$fot(meet(a,X_685)))]]) ).

cnf(refute_0_1155,plain,
    ( join(meet(a,meet(X_685,Y)),meet(a,X_685)) != meet(a,X_685)
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = meet(a,X_685) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),join(meet(a,meet(X_685,Y)),meet(a,X_685))) )],[refute_0_1153,refute_0_1154]) ).

cnf(refute_0_1156,plain,
    join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) = meet(a,X_685),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(a,X_685)),meet(a,X_685)) )],[refute_0_1128,refute_0_1155]) ).

cnf(refute_0_1157,plain,
    ( join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) != meet(a,X_685)
    | join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) != meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))
    | meet(a,X_685) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))) ),[0],$fot(meet(a,X_685))]]) ).

cnf(refute_0_1158,plain,
    ( join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) != meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))
    | meet(a,X_685) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),meet(a,X_685)) )],[refute_0_1156,refute_0_1157]) ).

cnf(refute_0_1159,plain,
    join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))) = meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),
    inference(subst,[],[refute_0_889:[bind(X_15,$fot(meet(X_270,join(meet(X_28,X_270),X_268))))]]) ).

cnf(refute_0_1160,plain,
    meet(meet(X_43,X_44),join(meet(X_43,X_44),Y)) = meet(X_43,X_44),
    inference(subst,[],[absorption1:[bind(X,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_1161,plain,
    meet(meet(X_43,X_44),join(meet(X_43,X_44),Y)) = meet(X_43,meet(X_44,join(meet(X_43,X_44),Y))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(join(meet(X_43,X_44),Y)))]]) ).

cnf(refute_0_1162,plain,
    ( meet(meet(X_43,X_44),join(meet(X_43,X_44),Y)) != meet(X_43,X_44)
    | meet(meet(X_43,X_44),join(meet(X_43,X_44),Y)) != meet(X_43,meet(X_44,join(meet(X_43,X_44),Y)))
    | meet(X_43,meet(X_44,join(meet(X_43,X_44),Y))) = meet(X_43,X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,X_44),join(meet(X_43,X_44),Y)),meet(X_43,X_44)) ),[0],$fot(meet(X_43,meet(X_44,join(meet(X_43,X_44),Y))))]]) ).

cnf(refute_0_1163,plain,
    ( meet(meet(X_43,X_44),join(meet(X_43,X_44),Y)) != meet(X_43,X_44)
    | meet(X_43,meet(X_44,join(meet(X_43,X_44),Y))) = meet(X_43,X_44) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),join(meet(X_43,X_44),Y)),meet(X_43,meet(X_44,join(meet(X_43,X_44),Y)))) )],[refute_0_1161,refute_0_1162]) ).

cnf(refute_0_1164,plain,
    meet(X_43,meet(X_44,join(meet(X_43,X_44),Y))) = meet(X_43,X_44),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),join(meet(X_43,X_44),Y)),meet(X_43,X_44)) )],[refute_0_1160,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))) = meet(X_28,X_270),
    inference(subst,[],[refute_0_1164:[bind(Y,$fot(X_268)),bind(X_43,$fot(X_28)),bind(X_44,$fot(X_270))]]) ).

cnf(refute_0_1166,plain,
    ( join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))) != meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)
    | meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))) != meet(X_28,X_270)
    | join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) = meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))),meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)) ),[0,1],$fot(meet(X_28,X_270))]]) ).

cnf(refute_0_1167,plain,
    ( join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))) != meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)
    | join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) = meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28) ),
    inference(resolve,[$cnf( $equal(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)) )],[refute_0_1165,refute_0_1166]) ).

cnf(refute_0_1168,plain,
    join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) = meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))),meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)) )],[refute_0_1159,refute_0_1167]) ).

cnf(refute_0_1169,plain,
    join(meet(X_43,X_44),meet(meet(X_43,X_44),Y)) = meet(X_43,X_44),
    inference(subst,[],[absorption2:[bind(X,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_1170,plain,
    meet(meet(X_43,X_44),Y) = meet(X_43,meet(X_44,Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_1171,plain,
    ( join(meet(X_43,X_44),meet(meet(X_43,X_44),Y)) != meet(X_43,X_44)
    | meet(meet(X_43,X_44),Y) != meet(X_43,meet(X_44,Y))
    | join(meet(X_43,X_44),meet(X_43,meet(X_44,Y))) = meet(X_43,X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_43,X_44),meet(meet(X_43,X_44),Y)),meet(X_43,X_44)) ),[0,1],$fot(meet(X_43,meet(X_44,Y)))]]) ).

cnf(refute_0_1172,plain,
    ( join(meet(X_43,X_44),meet(meet(X_43,X_44),Y)) != meet(X_43,X_44)
    | join(meet(X_43,X_44),meet(X_43,meet(X_44,Y))) = meet(X_43,X_44) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),Y),meet(X_43,meet(X_44,Y))) )],[refute_0_1170,refute_0_1171]) ).

cnf(refute_0_1173,plain,
    join(meet(X_43,X_44),meet(X_43,meet(X_44,Y))) = meet(X_43,X_44),
    inference(resolve,[$cnf( $equal(join(meet(X_43,X_44),meet(meet(X_43,X_44),Y)),meet(X_43,X_44)) )],[refute_0_1169,refute_0_1172]) ).

cnf(refute_0_1174,plain,
    join(meet(X_28,X_270),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))) = meet(X_28,X_270),
    inference(subst,[],[refute_0_1173:[bind(Y,$fot(join(meet(X_28,X_270),X_268))),bind(X_43,$fot(X_28)),bind(X_44,$fot(X_270))]]) ).

cnf(refute_0_1175,plain,
    join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)) = join(meet(X_28,X_270),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))),
    inference(subst,[],[refute_0_115:[bind(X,$fot(meet(X_28,X_270))),bind(Y,$fot(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))))]]) ).

cnf(refute_0_1176,plain,
    ( join(meet(X_28,X_270),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))) != meet(X_28,X_270)
    | join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)) != join(meet(X_28,X_270),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))))
    | join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)) = meet(X_28,X_270) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)))),bind(Y0,$fot(join(meet(X_28,X_270),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))))),bind(Z0,$fot(meet(X_28,X_270)))]]) ).

cnf(refute_0_1177,plain,
    ( join(meet(X_28,X_270),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))) != meet(X_28,X_270)
    | join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)) = meet(X_28,X_270) ),
    inference(resolve,[$cnf( $equal(join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)),join(meet(X_28,X_270),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))))) )],[refute_0_1175,refute_0_1176]) ).

cnf(refute_0_1178,plain,
    join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)) = meet(X_28,X_270),
    inference(resolve,[$cnf( $equal(join(meet(X_28,X_270),meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268)))),meet(X_28,X_270)) )],[refute_0_1174,refute_0_1177]) ).

cnf(refute_0_1179,plain,
    join(meet(X_157,X_158),meet(X_157,X_159)) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(X_157)),bind(Y,$fot(X_158)),bind(Z,$fot(X_159))]]) ).

cnf(refute_0_1180,plain,
    meet(X_158,X_157) = meet(X_157,X_158),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_158)),bind(Y,$fot(X_157))]]) ).

cnf(refute_0_1181,plain,
    ( meet(X_158,X_157) != meet(X_157,X_158)
    | meet(X_157,X_158) = meet(X_158,X_157) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_158,X_157))),bind(Y0,$fot(meet(X_157,X_158)))]]) ).

cnf(refute_0_1182,plain,
    meet(X_157,X_158) = meet(X_158,X_157),
    inference(resolve,[$cnf( $equal(meet(X_158,X_157),meet(X_157,X_158)) )],[refute_0_1180,refute_0_1181]) ).

cnf(refute_0_1183,plain,
    ( join(meet(X_157,X_158),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))
    | meet(X_157,X_158) != meet(X_158,X_157)
    | join(meet(X_158,X_157),meet(X_157,X_159)) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,X_158),meet(X_157,X_159)),meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))) ),[0,0],$fot(meet(X_158,X_157))]]) ).

cnf(refute_0_1184,plain,
    ( join(meet(X_157,X_158),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))
    | join(meet(X_158,X_157),meet(X_157,X_159)) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,X_158),meet(X_158,X_157)) )],[refute_0_1182,refute_0_1183]) ).

cnf(refute_0_1185,plain,
    join(meet(X_158,X_157),meet(X_157,X_159)) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,X_158),meet(X_157,X_159)),meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))) )],[refute_0_1179,refute_0_1184]) ).

cnf(refute_0_1186,plain,
    meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))) = join(meet(X_157,X_158),meet(X_157,X_159)),
    inference(subst,[],[refute_0_980:[bind(X,$fot(X_157)),bind(Y,$fot(X_158)),bind(Z,$fot(X_159))]]) ).

cnf(refute_0_1187,plain,
    ( join(meet(X_158,X_157),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))
    | meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))) != join(meet(X_157,X_158),meet(X_157,X_159))
    | join(meet(X_158,X_157),meet(X_157,X_159)) = join(meet(X_157,X_158),meet(X_157,X_159)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_158,X_157),meet(X_157,X_159)),join(meet(X_157,X_158),meet(X_157,X_159))) ),[0],$fot(meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))))]]) ).

cnf(refute_0_1188,plain,
    ( join(meet(X_158,X_157),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))
    | join(meet(X_158,X_157),meet(X_157,X_159)) = join(meet(X_157,X_158),meet(X_157,X_159)) ),
    inference(resolve,[$cnf( $equal(meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))),join(meet(X_157,X_158),meet(X_157,X_159))) )],[refute_0_1186,refute_0_1187]) ).

cnf(refute_0_1189,plain,
    join(meet(X_158,X_157),meet(X_157,X_159)) = join(meet(X_157,X_158),meet(X_157,X_159)),
    inference(resolve,[$cnf( $equal(join(meet(X_158,X_157),meet(X_157,X_159)),meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))) )],[refute_0_1185,refute_0_1188]) ).

cnf(refute_0_1190,plain,
    join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) = join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)),
    inference(subst,[],[refute_0_1189:[bind(X_157,$fot(X_28)),bind(X_158,$fot(meet(X_270,join(meet(X_28,X_270),X_268)))),bind(X_159,$fot(X_270))]]) ).

cnf(refute_0_1191,plain,
    ( join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)) != meet(X_28,X_270)
    | join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) != join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270))
    | join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) = meet(X_28,X_270) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)))),bind(Y0,$fot(join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)))),bind(Z0,$fot(meet(X_28,X_270)))]]) ).

cnf(refute_0_1192,plain,
    ( join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)) != meet(X_28,X_270)
    | join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) = meet(X_28,X_270) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)),join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270))) )],[refute_0_1190,refute_0_1191]) ).

cnf(refute_0_1193,plain,
    join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) = meet(X_28,X_270),
    inference(resolve,[$cnf( $equal(join(meet(X_28,meet(X_270,join(meet(X_28,X_270),X_268))),meet(X_28,X_270)),meet(X_28,X_270)) )],[refute_0_1178,refute_0_1192]) ).

cnf(refute_0_1194,plain,
    ( join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) != meet(X_28,X_270)
    | join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) != meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)
    | meet(X_28,X_270) = meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)),meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)) ),[0],$fot(meet(X_28,X_270))]]) ).

cnf(refute_0_1195,plain,
    ( join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) != meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)
    | meet(X_28,X_270) = meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)),meet(X_28,X_270)) )],[refute_0_1193,refute_0_1194]) ).

cnf(refute_0_1196,plain,
    meet(meet(X_144,X_146),Y) = meet(Y,meet(X_144,X_146)),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(meet(X_144,X_146)))]]) ).

cnf(refute_0_1197,plain,
    meet(Y,meet(X_144,X_146)) = meet(X_144,meet(Y,X_146)),
    inference(subst,[],[refute_0_428:[bind(X_43,$fot(X_144)),bind(X_44,$fot(Y)),bind(X_45,$fot(X_146))]]) ).

cnf(refute_0_1198,plain,
    ( meet(Y,meet(X_144,X_146)) != meet(X_144,meet(Y,X_146))
    | meet(meet(X_144,X_146),Y) != meet(Y,meet(X_144,X_146))
    | meet(meet(X_144,X_146),Y) = meet(X_144,meet(Y,X_146)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_144,X_146),Y),meet(Y,meet(X_144,X_146))) ),[1],$fot(meet(X_144,meet(Y,X_146)))]]) ).

cnf(refute_0_1199,plain,
    ( meet(meet(X_144,X_146),Y) != meet(Y,meet(X_144,X_146))
    | meet(meet(X_144,X_146),Y) = meet(X_144,meet(Y,X_146)) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_144,X_146)),meet(X_144,meet(Y,X_146))) )],[refute_0_1197,refute_0_1198]) ).

cnf(refute_0_1200,plain,
    meet(meet(X_144,X_146),Y) = meet(X_144,meet(Y,X_146)),
    inference(resolve,[$cnf( $equal(meet(meet(X_144,X_146),Y),meet(Y,meet(X_144,X_146))) )],[refute_0_1196,refute_0_1199]) ).

cnf(refute_0_1201,plain,
    meet(meet(X_144,X_146),Y) = meet(X_144,meet(X_146,Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_144)),bind(Y,$fot(X_146)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_1202,plain,
    ( meet(meet(X_144,X_146),Y) != meet(X_144,meet(Y,X_146))
    | meet(meet(X_144,X_146),Y) != meet(X_144,meet(X_146,Y))
    | meet(X_144,meet(X_146,Y)) = meet(X_144,meet(Y,X_146)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_144,X_146),Y),meet(X_144,meet(Y,X_146))) ),[0],$fot(meet(X_144,meet(X_146,Y)))]]) ).

cnf(refute_0_1203,plain,
    ( meet(meet(X_144,X_146),Y) != meet(X_144,meet(Y,X_146))
    | meet(X_144,meet(X_146,Y)) = meet(X_144,meet(Y,X_146)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_144,X_146),Y),meet(X_144,meet(X_146,Y))) )],[refute_0_1201,refute_0_1202]) ).

cnf(refute_0_1204,plain,
    meet(X_144,meet(X_146,Y)) = meet(X_144,meet(Y,X_146)),
    inference(resolve,[$cnf( $equal(meet(meet(X_144,X_146),Y),meet(X_144,meet(Y,X_146))) )],[refute_0_1200,refute_0_1203]) ).

cnf(refute_0_1205,plain,
    ( meet(X_144,meet(X_146,Y)) != meet(X_144,meet(Y,X_146))
    | meet(X_144,meet(Y,X_146)) = meet(X_144,meet(X_146,Y)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_144,meet(X_146,Y)))),bind(Y0,$fot(meet(X_144,meet(Y,X_146))))]]) ).

cnf(refute_0_1206,plain,
    meet(X_144,meet(Y,X_146)) = meet(X_144,meet(X_146,Y)),
    inference(resolve,[$cnf( $equal(meet(X_144,meet(X_146,Y)),meet(X_144,meet(Y,X_146))) )],[refute_0_1204,refute_0_1205]) ).

cnf(refute_0_1207,plain,
    meet(X_270,meet(join(meet(X_28,X_270),X_268),X_28)) = meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268))),
    inference(subst,[],[refute_0_1206:[bind(Y,$fot(join(meet(X_28,X_270),X_268))),bind(X_144,$fot(X_270)),bind(X_146,$fot(X_28))]]) ).

cnf(refute_0_1208,plain,
    meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28) = meet(X_270,meet(join(meet(X_28,X_270),X_268),X_28)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_270)),bind(Y,$fot(join(meet(X_28,X_270),X_268))),bind(Z,$fot(X_28))]]) ).

cnf(refute_0_1209,plain,
    ( meet(X_270,meet(join(meet(X_28,X_270),X_268),X_28)) != meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268)))
    | meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28) != meet(X_270,meet(join(meet(X_28,X_270),X_268),X_28))
    | meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28) = meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28))),bind(Y0,$fot(meet(X_270,meet(join(meet(X_28,X_270),X_268),X_28)))),bind(Z0,$fot(meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268)))))]]) ).

cnf(refute_0_1210,plain,
    ( meet(X_270,meet(join(meet(X_28,X_270),X_268),X_28)) != meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268)))
    | meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28) = meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_270,meet(join(meet(X_28,X_270),X_268),X_28))) )],[refute_0_1208,refute_0_1209]) ).

cnf(refute_0_1211,plain,
    meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28) = meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268))),
    inference(resolve,[$cnf( $equal(meet(X_270,meet(join(meet(X_28,X_270),X_268),X_28)),meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268)))) )],[refute_0_1207,refute_0_1210]) ).

cnf(refute_0_1212,plain,
    ( meet(X_28,X_270) != meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)
    | meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28) != meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268)))
    | meet(X_28,X_270) = meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_28,X_270),meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268)))) ),[0],$fot(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28))]]) ).

cnf(refute_0_1213,plain,
    ( meet(X_28,X_270) != meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)
    | meet(X_28,X_270) = meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268)))) )],[refute_0_1211,refute_0_1212]) ).

cnf(refute_0_1214,plain,
    ( join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)) != meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)
    | meet(X_28,X_270) = meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268))) ),
    inference(resolve,[$cnf( $equal(meet(X_28,X_270),meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)) )],[refute_0_1195,refute_0_1213]) ).

cnf(refute_0_1215,plain,
    meet(X_28,X_270) = meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268))),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28),meet(X_28,X_270)),meet(meet(X_270,join(meet(X_28,X_270),X_268)),X_28)) )],[refute_0_1168,refute_0_1214]) ).

cnf(refute_0_1216,plain,
    ( meet(X_28,X_270) != meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268)))
    | meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268))) = meet(X_28,X_270) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_28,X_270))),bind(Y0,$fot(meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268)))))]]) ).

cnf(refute_0_1217,plain,
    meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268))) = meet(X_28,X_270),
    inference(resolve,[$cnf( $equal(meet(X_28,X_270),meet(X_270,meet(X_28,join(meet(X_28,X_270),X_268)))) )],[refute_0_1215,refute_0_1216]) ).

cnf(refute_0_1218,plain,
    meet(a,meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))) = meet(X_685,a),
    inference(subst,[],[refute_0_1217:[bind(X_268,$fot(meet(Y,join(X_684,meet(X_685,b))))),bind(X_270,$fot(a)),bind(X_28,$fot(X_685))]]) ).

cnf(refute_0_1219,plain,
    join(meet(Y,join(X_684,meet(X_685,b))),meet(a,X_685)) = join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))),
    inference(subst,[],[refute_0_1106:[bind(X_279,$fot(meet(Y,join(X_684,meet(X_685,b))))),bind(X_712,$fot(X_685))]]) ).

cnf(refute_0_1220,plain,
    join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)) = join(X_103,join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347)))),
    inference(subst,[],[refute_0_387:[bind(X,$fot(meet(X_346,meet(X_348,X_347)))),bind(X_31,$fot(meet(X_348,X_346)))]]) ).

cnf(refute_0_1221,plain,
    ( join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)) != join(X_103,join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))))
    | join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))) != meet(X_346,X_348)
    | join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)) = join(X_103,meet(X_346,X_348)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)),join(X_103,join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))))) ),[1,1],$fot(meet(X_346,X_348))]]) ).

cnf(refute_0_1222,plain,
    ( join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)) != join(X_103,join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))))
    | join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)) = join(X_103,meet(X_346,X_348)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))),meet(X_346,X_348)) )],[refute_0_1051,refute_0_1221]) ).

cnf(refute_0_1223,plain,
    join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)) = join(X_103,meet(X_346,X_348)),
    inference(resolve,[$cnf( $equal(join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)),join(X_103,join(meet(X_348,X_346),meet(X_346,meet(X_348,X_347))))) )],[refute_0_1220,refute_0_1222]) ).

cnf(refute_0_1224,plain,
    join(X_64,X_66) = join(X_66,X_64),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_64)),bind(Y,$fot(X_66))]]) ).

cnf(refute_0_1225,plain,
    ( join(X_64,X_66) != join(X_66,X_64)
    | join(X_66,X_64) = join(X_64,X_66) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_64,X_66))),bind(Y0,$fot(join(X_66,X_64)))]]) ).

cnf(refute_0_1226,plain,
    join(X_66,X_64) = join(X_64,X_66),
    inference(resolve,[$cnf( $equal(join(X_64,X_66),join(X_66,X_64)) )],[refute_0_1224,refute_0_1225]) ).

cnf(refute_0_1227,plain,
    ( join(X_64,join(X_65,X_66)) != join(X_65,join(X_66,X_64))
    | join(X_66,X_64) != join(X_64,X_66)
    | join(X_64,join(X_65,X_66)) = join(X_65,join(X_64,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_64,join(X_65,X_66)),join(X_65,join(X_66,X_64))) ),[1,1],$fot(join(X_64,X_66))]]) ).

cnf(refute_0_1228,plain,
    ( join(X_64,join(X_65,X_66)) != join(X_65,join(X_66,X_64))
    | join(X_64,join(X_65,X_66)) = join(X_65,join(X_64,X_66)) ),
    inference(resolve,[$cnf( $equal(join(X_66,X_64),join(X_64,X_66)) )],[refute_0_1226,refute_0_1227]) ).

cnf(refute_0_1229,plain,
    join(X_64,join(X_65,X_66)) = join(X_65,join(X_64,X_66)),
    inference(resolve,[$cnf( $equal(join(X_64,join(X_65,X_66)),join(X_65,join(X_66,X_64))) )],[refute_0_173,refute_0_1228]) ).

cnf(refute_0_1230,plain,
    ( join(X_64,join(X_65,X_66)) != join(X_65,join(X_64,X_66))
    | join(X_65,join(X_64,X_66)) = join(X_64,join(X_65,X_66)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_64,join(X_65,X_66)))),bind(Y0,$fot(join(X_65,join(X_64,X_66))))]]) ).

cnf(refute_0_1231,plain,
    join(X_65,join(X_64,X_66)) = join(X_64,join(X_65,X_66)),
    inference(resolve,[$cnf( $equal(join(X_64,join(X_65,X_66)),join(X_65,join(X_64,X_66))) )],[refute_0_1229,refute_0_1230]) ).

cnf(refute_0_1232,plain,
    join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)) = join(meet(X_348,X_346),join(meet(X_346,meet(X_348,X_347)),X_103)),
    inference(subst,[],[refute_0_1231:[bind(X_64,$fot(meet(X_348,X_346))),bind(X_65,$fot(meet(X_346,meet(X_348,X_347)))),bind(X_66,$fot(X_103))]]) ).

cnf(refute_0_1233,plain,
    ( join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)) != join(X_103,meet(X_346,X_348))
    | join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)) != join(meet(X_348,X_346),join(meet(X_346,meet(X_348,X_347)),X_103))
    | join(meet(X_348,X_346),join(meet(X_346,meet(X_348,X_347)),X_103)) = join(X_103,meet(X_346,X_348)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)),join(X_103,meet(X_346,X_348))) ),[0],$fot(join(meet(X_348,X_346),join(meet(X_346,meet(X_348,X_347)),X_103)))]]) ).

cnf(refute_0_1234,plain,
    ( join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)) != join(X_103,meet(X_346,X_348))
    | join(meet(X_348,X_346),join(meet(X_346,meet(X_348,X_347)),X_103)) = join(X_103,meet(X_346,X_348)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)),join(meet(X_348,X_346),join(meet(X_346,meet(X_348,X_347)),X_103))) )],[refute_0_1232,refute_0_1233]) ).

cnf(refute_0_1235,plain,
    join(meet(X_348,X_346),join(meet(X_346,meet(X_348,X_347)),X_103)) = join(X_103,meet(X_346,X_348)),
    inference(resolve,[$cnf( $equal(join(meet(X_346,meet(X_348,X_347)),join(meet(X_348,X_346),X_103)),join(X_103,meet(X_346,X_348))) )],[refute_0_1223,refute_0_1234]) ).

cnf(refute_0_1236,plain,
    join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(Y,join(X_684,meet(X_685,b))),meet(a,X_685)),
    inference(subst,[],[refute_0_1235:[bind(X_103,$fot(meet(Y,join(X_684,meet(X_685,b))))),bind(X_346,$fot(a)),bind(X_347,$fot(Y)),bind(X_348,$fot(X_685))]]) ).

cnf(refute_0_1237,plain,
    ( join(meet(Y,join(X_684,meet(X_685,b))),meet(a,X_685)) != join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))
    | join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(Y,join(X_684,meet(X_685,b))),meet(a,X_685))
    | join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))))),bind(Y0,$fot(join(meet(Y,join(X_684,meet(X_685,b))),meet(a,X_685)))),bind(Z0,$fot(join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))))]]) ).

cnf(refute_0_1238,plain,
    ( join(meet(Y,join(X_684,meet(X_685,b))),meet(a,X_685)) != join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))
    | join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))),join(meet(Y,join(X_684,meet(X_685,b))),meet(a,X_685))) )],[refute_0_1236,refute_0_1237]) ).

cnf(refute_0_1239,plain,
    join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))),
    inference(resolve,[$cnf( $equal(join(meet(Y,join(X_684,meet(X_685,b))),meet(a,X_685)),join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))) )],[refute_0_1219,refute_0_1238]) ).

cnf(refute_0_1240,plain,
    join(join(X,meet(a,X_715)),Z) = join(X,join(meet(a,X_715),Z)),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(a,X_715)))]]) ).

cnf(refute_0_1241,plain,
    join(X,meet(a,X_715)) = join(meet(X_715,a),X),
    inference(subst,[],[refute_0_1106:[bind(X_279,$fot(X)),bind(X_712,$fot(X_715))]]) ).

cnf(refute_0_1242,plain,
    ( join(X,meet(a,X_715)) != join(meet(X_715,a),X)
    | join(join(X,meet(a,X_715)),Z) != join(X,join(meet(a,X_715),Z))
    | join(join(meet(X_715,a),X),Z) = join(X,join(meet(a,X_715),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(a,X_715)),Z),join(X,join(meet(a,X_715),Z))) ),[0,0],$fot(join(meet(X_715,a),X))]]) ).

cnf(refute_0_1243,plain,
    ( join(join(X,meet(a,X_715)),Z) != join(X,join(meet(a,X_715),Z))
    | join(join(meet(X_715,a),X),Z) = join(X,join(meet(a,X_715),Z)) ),
    inference(resolve,[$cnf( $equal(join(X,meet(a,X_715)),join(meet(X_715,a),X)) )],[refute_0_1241,refute_0_1242]) ).

cnf(refute_0_1244,plain,
    join(join(meet(X_715,a),X),Z) = join(X,join(meet(a,X_715),Z)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(a,X_715)),Z),join(X,join(meet(a,X_715),Z))) )],[refute_0_1240,refute_0_1243]) ).

cnf(refute_0_1245,plain,
    join(join(meet(X_715,a),X),Z) = join(meet(X_715,a),join(X,Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_715,a))),bind(Y,$fot(X))]]) ).

cnf(refute_0_1246,plain,
    ( join(join(meet(X_715,a),X),Z) != join(X,join(meet(a,X_715),Z))
    | join(join(meet(X_715,a),X),Z) != join(meet(X_715,a),join(X,Z))
    | join(meet(X_715,a),join(X,Z)) = join(X,join(meet(a,X_715),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_715,a),X),Z),join(X,join(meet(a,X_715),Z))) ),[0],$fot(join(meet(X_715,a),join(X,Z)))]]) ).

cnf(refute_0_1247,plain,
    ( join(join(meet(X_715,a),X),Z) != join(X,join(meet(a,X_715),Z))
    | join(meet(X_715,a),join(X,Z)) = join(X,join(meet(a,X_715),Z)) ),
    inference(resolve,[$cnf( $equal(join(join(meet(X_715,a),X),Z),join(meet(X_715,a),join(X,Z))) )],[refute_0_1245,refute_0_1246]) ).

cnf(refute_0_1248,plain,
    join(meet(X_715,a),join(X,Z)) = join(X,join(meet(a,X_715),Z)),
    inference(resolve,[$cnf( $equal(join(join(meet(X_715,a),X),Z),join(X,join(meet(a,X_715),Z))) )],[refute_0_1244,refute_0_1247]) ).

cnf(refute_0_1249,plain,
    ( join(meet(X_715,a),join(X,Z)) != join(X,join(meet(a,X_715),Z))
    | join(X,join(meet(a,X_715),Z)) = join(meet(X_715,a),join(X,Z)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(X_715,a),join(X,Z)))),bind(Y0,$fot(join(X,join(meet(a,X_715),Z))))]]) ).

cnf(refute_0_1250,plain,
    join(X,join(meet(a,X_715),Z)) = join(meet(X_715,a),join(X,Z)),
    inference(resolve,[$cnf( $equal(join(meet(X_715,a),join(X,Z)),join(X,join(meet(a,X_715),Z))) )],[refute_0_1248,refute_0_1249]) ).

cnf(refute_0_1251,plain,
    join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))),
    inference(subst,[],[refute_0_1250:[bind(X,$fot(meet(a,meet(X_685,Y)))),bind(Z,$fot(meet(Y,join(X_684,meet(X_685,b))))),bind(X_715,$fot(X_685))]]) ).

cnf(refute_0_1252,plain,
    ( join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))
    | join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b)))))
    | join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))))),bind(Y0,$fot(join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))))),bind(Z0,$fot(join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))))]]) ).

cnf(refute_0_1253,plain,
    ( join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))
    | join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))),join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b)))))) )],[refute_0_1251,refute_0_1252]) ).

cnf(refute_0_1254,plain,
    join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))),
    inference(resolve,[$cnf( $equal(join(meet(X_685,a),join(meet(a,meet(X_685,Y)),meet(Y,join(X_684,meet(X_685,b))))),join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))) )],[refute_0_1239,refute_0_1253]) ).

cnf(refute_0_1255,plain,
    join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))) = join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))),
    introduced(tautology,[refl,[$fot(join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))]]) ).

cnf(refute_0_1256,plain,
    ( join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))) != join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))
    | meet(a,meet(X_685,join(meet(X_685,b),X_684))) != meet(a,X_685)
    | join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))) = join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) ),[1,0],$fot(meet(a,X_685))]]) ).

cnf(refute_0_1257,plain,
    ( meet(a,meet(X_685,join(meet(X_685,b),X_684))) != meet(a,X_685)
    | join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))) = join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b)))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) )],[refute_0_1255,refute_0_1256]) ).

cnf(refute_0_1258,plain,
    join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))) = join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b)))),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(a,X_685)) )],[refute_0_1149,refute_0_1257]) ).

cnf(refute_0_1259,plain,
    join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))),
    introduced(tautology,[refl,[$fot(join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))]]) ).

cnf(refute_0_1260,plain,
    ( join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))
    | join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))) != join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))
    | join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))),join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) ),[1,1],$fot(join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b)))))]]) ).

cnf(refute_0_1261,plain,
    ( join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))) != join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))
    | join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))),join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) )],[refute_0_1259,refute_0_1260]) ).

cnf(refute_0_1262,plain,
    join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))) )],[refute_0_1258,refute_0_1261]) ).

cnf(refute_0_1263,plain,
    ( join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))
    | join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b)))))
    | join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))),bind(Y0,$fot(join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))))),bind(Z0,$fot(join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))))]]) ).

cnf(refute_0_1264,plain,
    ( join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))
    | join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))),join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b)))))) )],[refute_0_1262,refute_0_1263]) ).

cnf(refute_0_1265,plain,
    join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) = join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),join(meet(a,X_685),meet(Y,join(X_684,meet(X_685,b))))),join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))) )],[refute_0_1254,refute_0_1264]) ).

cnf(refute_0_1266,plain,
    meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) = meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))),
    introduced(tautology,[refl,[$fot(meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))]]) ).

cnf(refute_0_1267,plain,
    ( join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))
    | meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) != meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))
    | meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) = meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))),meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) ),[1,1],$fot(join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))]]) ).

cnf(refute_0_1268,plain,
    ( join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))) != join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))
    | meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) = meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))) ),
    inference(resolve,[$cnf( $equal(meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))),meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) )],[refute_0_1266,refute_0_1267]) ).

cnf(refute_0_1269,plain,
    meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) = meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))),join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))) )],[refute_0_1265,refute_0_1268]) ).

cnf(refute_0_1270,plain,
    meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) = meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))),
    introduced(tautology,[refl,[$fot(meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))))]]) ).

cnf(refute_0_1271,plain,
    ( meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) != meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))
    | meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) != meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))
    | meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) = meet(a,meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))),meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))) ),[1,1],$fot(meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))))]]) ).

cnf(refute_0_1272,plain,
    ( meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))) != meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))
    | meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) = meet(a,meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))),meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))) )],[refute_0_1270,refute_0_1271]) ).

cnf(refute_0_1273,plain,
    meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) = meet(a,meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))),
    inference(resolve,[$cnf( $equal(meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))),meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))) )],[refute_0_1269,refute_0_1272]) ).

cnf(refute_0_1274,plain,
    ( meet(a,meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))) != meet(X_685,a)
    | meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) != meet(a,meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))))
    | meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) = meet(X_685,a) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))))),bind(Y0,$fot(meet(a,meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))))),bind(Z0,$fot(meet(X_685,a)))]]) ).

cnf(refute_0_1275,plain,
    ( meet(a,meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))) != meet(X_685,a)
    | meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) = meet(X_685,a) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))),meet(a,meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b))))))) )],[refute_0_1273,refute_0_1274]) ).

cnf(refute_0_1276,plain,
    meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) = meet(X_685,a),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_685,join(meet(X_685,a),meet(Y,join(X_684,meet(X_685,b)))))),meet(X_685,a)) )],[refute_0_1218,refute_0_1275]) ).

cnf(refute_0_1277,plain,
    ( meet(a,X_685) != meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))
    | meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))) != meet(X_685,a)
    | meet(a,X_685) = meet(X_685,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(a,X_685),meet(X_685,a)) ),[0],$fot(meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))))]]) ).

cnf(refute_0_1278,plain,
    ( meet(a,X_685) != meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))
    | meet(a,X_685) = meet(X_685,a) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b))))))),meet(X_685,a)) )],[refute_0_1276,refute_0_1277]) ).

cnf(refute_0_1279,plain,
    ( join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))) != meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))
    | meet(a,X_685) = meet(X_685,a) ),
    inference(resolve,[$cnf( $equal(meet(a,X_685),meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))) )],[refute_0_1158,refute_0_1278]) ).

cnf(refute_0_1280,plain,
    meet(a,X_685) = meet(X_685,a),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(X_685,Y)),meet(a,meet(X_685,join(meet(X_685,b),X_684)))),meet(a,meet(X_685,join(meet(a,meet(X_685,Y)),join(meet(a,meet(X_685,join(meet(X_685,b),X_684))),meet(Y,join(X_684,meet(X_685,b)))))))) )],[refute_0_512,refute_0_1279]) ).

cnf(refute_0_1281,plain,
    ( meet(a,X_685) != meet(X_685,a)
    | meet(X_685,a) = meet(a,X_685) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(a,X_685))),bind(Y0,$fot(meet(X_685,a)))]]) ).

cnf(refute_0_1282,plain,
    meet(X_685,a) = meet(a,X_685),
    inference(resolve,[$cnf( $equal(meet(a,X_685),meet(X_685,a)) )],[refute_0_1280,refute_0_1281]) ).

cnf(refute_0_1283,plain,
    meet(join(complement(b),meet(b,complement(a))),a) = meet(a,join(complement(b),meet(b,complement(a)))),
    inference(subst,[],[refute_0_1282:[bind(X_685,$fot(join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_1284,plain,
    meet(X,meet(b,complement(meet(b,complement(a))))) = meet(b,meet(complement(meet(b,complement(a))),X)),
    inference(subst,[],[refute_0_59:[bind(X_43,$fot(b)),bind(X_44,$fot(complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_1285,plain,
    meet(X_35,X_34) = meet(X_34,X_35),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_35)),bind(Y,$fot(X_34))]]) ).

cnf(refute_0_1286,plain,
    ( meet(X_35,X_34) != meet(X_34,X_35)
    | meet(X_34,X_35) = meet(X_35,X_34) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_35,X_34))),bind(Y0,$fot(meet(X_34,X_35)))]]) ).

cnf(refute_0_1287,plain,
    meet(X_34,X_35) = meet(X_35,X_34),
    inference(resolve,[$cnf( $equal(meet(X_35,X_34),meet(X_34,X_35)) )],[refute_0_1285,refute_0_1286]) ).

cnf(refute_0_1288,plain,
    ( ifeq(join(X_34,X_35),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35) != X_35
    | meet(X_34,X_35) != meet(X_35,X_34)
    | ifeq(join(X_34,X_35),one,ifeq(meet(X_35,X_34),zero,complement(X_34),X_35),X_35) = X_35 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(X_34,X_35),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35),X_35) ),[0,2,0],$fot(meet(X_35,X_34))]]) ).

cnf(refute_0_1289,plain,
    ( ifeq(join(X_34,X_35),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35) != X_35
    | ifeq(join(X_34,X_35),one,ifeq(meet(X_35,X_34),zero,complement(X_34),X_35),X_35) = X_35 ),
    inference(resolve,[$cnf( $equal(meet(X_34,X_35),meet(X_35,X_34)) )],[refute_0_1287,refute_0_1288]) ).

cnf(refute_0_1290,plain,
    ifeq(join(X_34,X_35),one,ifeq(meet(X_35,X_34),zero,complement(X_34),X_35),X_35) = X_35,
    inference(resolve,[$cnf( $equal(ifeq(join(X_34,X_35),one,ifeq(meet(X_34,X_35),zero,complement(X_34),X_35),X_35),X_35) )],[refute_0_13,refute_0_1289]) ).

cnf(refute_0_1291,plain,
    ifeq(join(complement(a),meet(b,complement(meet(b,complement(a))))),one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) = meet(b,complement(meet(b,complement(a)))),
    inference(subst,[],[refute_0_1290:[bind(X_34,$fot(complement(a))),bind(X_35,$fot(meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1292,plain,
    join(complement(a),meet(b,complement(meet(b,complement(a))))) = join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))),
    inference(subst,[],[refute_0_559:[bind(Y,$fot(b)),bind(X_31,$fot(complement(a))),bind(X_33,$fot(meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1293,plain,
    join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) = meet(b,join(meet(b,complement(a)),complement(meet(b,complement(a))))),
    inference(subst,[],[refute_0_330:[bind(X_158,$fot(complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_1294,plain,
    join(meet(b,complement(a)),complement(meet(b,complement(a)))) = one,
    inference(subst,[],[complement_join:[bind(X,$fot(meet(b,complement(a))))]]) ).

cnf(refute_0_1295,plain,
    ( join(meet(b,complement(a)),complement(meet(b,complement(a)))) != one
    | join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) != meet(b,join(meet(b,complement(a)),complement(meet(b,complement(a)))))
    | join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) = meet(b,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))),meet(b,join(meet(b,complement(a)),complement(meet(b,complement(a)))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1296,plain,
    ( join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) != meet(b,join(meet(b,complement(a)),complement(meet(b,complement(a)))))
    | join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) = meet(b,one) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),complement(meet(b,complement(a)))),one) )],[refute_0_1294,refute_0_1295]) ).

cnf(refute_0_1297,plain,
    join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) = meet(b,one),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))),meet(b,join(meet(b,complement(a)),complement(meet(b,complement(a)))))) )],[refute_0_1293,refute_0_1296]) ).

cnf(refute_0_1298,plain,
    join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) = join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),
    inference(subst,[],[refute_0_115:[bind(X,$fot(meet(b,complement(a)))),bind(Y,$fot(meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1299,plain,
    ( join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) != join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))
    | join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) != meet(b,one)
    | join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) = meet(b,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))),meet(b,one)) ),[0],$fot(join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1300,plain,
    ( join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) != meet(b,one)
    | join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) = meet(b,one) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))),join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) )],[refute_0_1298,refute_0_1299]) ).

cnf(refute_0_1301,plain,
    meet(b,one) = b,
    inference(subst,[],[refute_0_141:[bind(X_9,$fot(b))]]) ).

cnf(refute_0_1302,plain,
    ( join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) != meet(b,one)
    | meet(b,one) != b
    | join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) = b ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),b) ),[0],$fot(meet(b,one))]]) ).

cnf(refute_0_1303,plain,
    ( join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) != meet(b,one)
    | join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) = b ),
    inference(resolve,[$cnf( $equal(meet(b,one),b) )],[refute_0_1301,refute_0_1302]) ).

cnf(refute_0_1304,plain,
    ( join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))) != meet(b,one)
    | join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) = b ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,one)) )],[refute_0_1300,refute_0_1303]) ).

cnf(refute_0_1305,plain,
    join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) = b,
    inference(resolve,[$cnf( $equal(join(meet(b,complement(meet(b,complement(a)))),meet(b,complement(a))),meet(b,one)) )],[refute_0_1297,refute_0_1304]) ).

cnf(refute_0_1306,plain,
    ( join(complement(a),meet(b,complement(meet(b,complement(a))))) != join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))))
    | join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) != b
    | join(complement(a),meet(b,complement(meet(b,complement(a))))) = join(complement(a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(a),meet(b,complement(meet(b,complement(a))))),join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_1307,plain,
    ( join(complement(a),meet(b,complement(meet(b,complement(a))))) != join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))))
    | join(complement(a),meet(b,complement(meet(b,complement(a))))) = join(complement(a),b) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),b) )],[refute_0_1305,refute_0_1306]) ).

cnf(refute_0_1308,plain,
    join(complement(a),meet(b,complement(meet(b,complement(a))))) = join(complement(a),b),
    inference(resolve,[$cnf( $equal(join(complement(a),meet(b,complement(meet(b,complement(a))))),join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))))) )],[refute_0_1292,refute_0_1307]) ).

cnf(refute_0_1309,plain,
    join(complement(a),b) = join(b,complement(a)),
    inference(subst,[],[refute_0_115:[bind(X,$fot(b)),bind(Y,$fot(complement(a)))]]) ).

cnf(refute_0_1310,plain,
    ( join(b,complement(a)) != one
    | join(complement(a),b) != join(b,complement(a))
    | join(complement(a),b) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(complement(a),b))),bind(Y0,$fot(join(b,complement(a)))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_1311,plain,
    ( join(b,complement(a)) != one
    | join(complement(a),b) = one ),
    inference(resolve,[$cnf( $equal(join(complement(a),b),join(b,complement(a))) )],[refute_0_1309,refute_0_1310]) ).

cnf(refute_0_1312,plain,
    join(complement(a),b) = one,
    inference(resolve,[$cnf( $equal(join(b,complement(a)),one) )],[refute_0_159,refute_0_1311]) ).

cnf(refute_0_1313,plain,
    ( join(complement(a),b) != one
    | join(complement(a),meet(b,complement(meet(b,complement(a))))) != join(complement(a),b)
    | join(complement(a),meet(b,complement(meet(b,complement(a))))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(a),meet(b,complement(meet(b,complement(a))))),join(complement(a),b)) ),[1],$fot(one)]]) ).

cnf(refute_0_1314,plain,
    ( join(complement(a),meet(b,complement(meet(b,complement(a))))) != join(complement(a),b)
    | join(complement(a),meet(b,complement(meet(b,complement(a))))) = one ),
    inference(resolve,[$cnf( $equal(join(complement(a),b),one) )],[refute_0_1312,refute_0_1313]) ).

cnf(refute_0_1315,plain,
    join(complement(a),meet(b,complement(meet(b,complement(a))))) = one,
    inference(resolve,[$cnf( $equal(join(complement(a),meet(b,complement(meet(b,complement(a))))),join(complement(a),b)) )],[refute_0_1308,refute_0_1314]) ).

cnf(refute_0_1316,plain,
    ( ifeq(join(complement(a),meet(b,complement(meet(b,complement(a))))),one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) != meet(b,complement(meet(b,complement(a))))
    | join(complement(a),meet(b,complement(meet(b,complement(a))))) != one
    | ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) = meet(b,complement(meet(b,complement(a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(complement(a),meet(b,complement(meet(b,complement(a))))),one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_1317,plain,
    ( ifeq(join(complement(a),meet(b,complement(meet(b,complement(a))))),one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) != meet(b,complement(meet(b,complement(a))))
    | ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) = meet(b,complement(meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(join(complement(a),meet(b,complement(meet(b,complement(a))))),one) )],[refute_0_1315,refute_0_1316]) ).

cnf(refute_0_1318,plain,
    ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) = meet(b,complement(meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(ifeq(join(complement(a),meet(b,complement(meet(b,complement(a))))),one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) )],[refute_0_1291,refute_0_1317]) ).

cnf(refute_0_1319,plain,
    ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))) = a,
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(zero)),bind(B,$fot(a)),bind(C,$fot(meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1320,plain,
    ifeq(join(complement(X_90),X_90),one,ifeq(meet(X_90,complement(X_90)),zero,complement(complement(X_90)),X_90),X_90) = X_90,
    inference(subst,[],[refute_0_1290:[bind(X_34,$fot(complement(X_90))),bind(X_35,$fot(X_90))]]) ).

cnf(refute_0_1321,plain,
    meet(X_90,complement(X_90)) = zero,
    inference(subst,[],[complement_meet:[bind(X,$fot(X_90))]]) ).

cnf(refute_0_1322,plain,
    ( ifeq(join(complement(X_90),X_90),one,ifeq(meet(X_90,complement(X_90)),zero,complement(complement(X_90)),X_90),X_90) != X_90
    | meet(X_90,complement(X_90)) != zero
    | ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = X_90 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(complement(X_90),X_90),one,ifeq(meet(X_90,complement(X_90)),zero,complement(complement(X_90)),X_90),X_90),X_90) ),[0,2,0],$fot(zero)]]) ).

cnf(refute_0_1323,plain,
    ( ifeq(join(complement(X_90),X_90),one,ifeq(meet(X_90,complement(X_90)),zero,complement(complement(X_90)),X_90),X_90) != X_90
    | ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = X_90 ),
    inference(resolve,[$cnf( $equal(meet(X_90,complement(X_90)),zero) )],[refute_0_1321,refute_0_1322]) ).

cnf(refute_0_1324,plain,
    ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = X_90,
    inference(resolve,[$cnf( $equal(ifeq(join(complement(X_90),X_90),one,ifeq(meet(X_90,complement(X_90)),zero,complement(complement(X_90)),X_90),X_90),X_90) )],[refute_0_1320,refute_0_1323]) ).

cnf(refute_0_1325,plain,
    ifeq(one,one,complement(complement(X_90)),X_90) = complement(complement(X_90)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(one)),bind(B,$fot(complement(complement(X_90)))),bind(C,$fot(X_90))]]) ).

cnf(refute_0_1326,plain,
    ifeq(zero,zero,complement(complement(X_90)),X_90) = complement(complement(X_90)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(zero)),bind(B,$fot(complement(complement(X_90)))),bind(C,$fot(X_90))]]) ).

cnf(refute_0_1327,plain,
    ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),
    introduced(tautology,[refl,[$fot(ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90))]]) ).

cnf(refute_0_1328,plain,
    ( ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) != ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90)
    | ifeq(zero,zero,complement(complement(X_90)),X_90) != complement(complement(X_90))
    | ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(one,one,complement(complement(X_90)),X_90) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90)) ),[1,2],$fot(complement(complement(X_90)))]]) ).

cnf(refute_0_1329,plain,
    ( ifeq(zero,zero,complement(complement(X_90)),X_90) != complement(complement(X_90))
    | ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(one,one,complement(complement(X_90)),X_90) ),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90)) )],[refute_0_1327,refute_0_1328]) ).

cnf(refute_0_1330,plain,
    ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(one,one,complement(complement(X_90)),X_90),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(complement(X_90)),X_90),complement(complement(X_90))) )],[refute_0_1326,refute_0_1329]) ).

cnf(refute_0_1331,plain,
    join(X_90,complement(X_90)) = one,
    inference(subst,[],[complement_join:[bind(X,$fot(X_90))]]) ).

cnf(refute_0_1332,plain,
    join(complement(X_90),X_90) = join(X_90,complement(X_90)),
    inference(subst,[],[refute_0_115:[bind(X,$fot(X_90)),bind(Y,$fot(complement(X_90)))]]) ).

cnf(refute_0_1333,plain,
    ( join(X_90,complement(X_90)) != one
    | join(complement(X_90),X_90) != join(X_90,complement(X_90))
    | join(complement(X_90),X_90) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(complement(X_90),X_90))),bind(Y0,$fot(join(X_90,complement(X_90)))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_1334,plain,
    ( join(X_90,complement(X_90)) != one
    | join(complement(X_90),X_90) = one ),
    inference(resolve,[$cnf( $equal(join(complement(X_90),X_90),join(X_90,complement(X_90))) )],[refute_0_1332,refute_0_1333]) ).

cnf(refute_0_1335,plain,
    join(complement(X_90),X_90) = one,
    inference(resolve,[$cnf( $equal(join(X_90,complement(X_90)),one) )],[refute_0_1331,refute_0_1334]) ).

cnf(refute_0_1336,plain,
    ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),
    introduced(tautology,[refl,[$fot(ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90))]]) ).

cnf(refute_0_1337,plain,
    ( ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) != ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90)
    | join(complement(X_90),X_90) != one
    | ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1338,plain,
    ( join(complement(X_90),X_90) != one
    | ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) ),
    inference(resolve,[$cnf( $equal(ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90)) )],[refute_0_1336,refute_0_1337]) ).

cnf(refute_0_1339,plain,
    ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),
    inference(resolve,[$cnf( $equal(join(complement(X_90),X_90),one) )],[refute_0_1335,refute_0_1338]) ).

cnf(refute_0_1340,plain,
    ( ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) != ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90)
    | ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) != ifeq(one,one,complement(complement(X_90)),X_90)
    | ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(one,one,complement(complement(X_90)),X_90) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90))),bind(Y0,$fot(ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90))),bind(Z0,$fot(ifeq(one,one,complement(complement(X_90)),X_90)))]]) ).

cnf(refute_0_1341,plain,
    ( ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) != ifeq(one,one,complement(complement(X_90)),X_90)
    | ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(one,one,complement(complement(X_90)),X_90) ),
    inference(resolve,[$cnf( $equal(ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90)) )],[refute_0_1339,refute_0_1340]) ).

cnf(refute_0_1342,plain,
    ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = ifeq(one,one,complement(complement(X_90)),X_90),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),ifeq(one,one,complement(complement(X_90)),X_90)) )],[refute_0_1330,refute_0_1341]) ).

cnf(refute_0_1343,plain,
    ( ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) != ifeq(one,one,complement(complement(X_90)),X_90)
    | ifeq(one,one,complement(complement(X_90)),X_90) != complement(complement(X_90))
    | ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = complement(complement(X_90)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90))),bind(Y0,$fot(ifeq(one,one,complement(complement(X_90)),X_90))),bind(Z0,$fot(complement(complement(X_90))))]]) ).

cnf(refute_0_1344,plain,
    ( ifeq(one,one,complement(complement(X_90)),X_90) != complement(complement(X_90))
    | ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = complement(complement(X_90)) ),
    inference(resolve,[$cnf( $equal(ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),ifeq(one,one,complement(complement(X_90)),X_90)) )],[refute_0_1342,refute_0_1343]) ).

cnf(refute_0_1345,plain,
    ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) = complement(complement(X_90)),
    inference(resolve,[$cnf( $equal(ifeq(one,one,complement(complement(X_90)),X_90),complement(complement(X_90))) )],[refute_0_1325,refute_0_1344]) ).

cnf(refute_0_1346,plain,
    ( ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) != X_90
    | ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) != complement(complement(X_90))
    | complement(complement(X_90)) = X_90 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),X_90) ),[0],$fot(complement(complement(X_90)))]]) ).

cnf(refute_0_1347,plain,
    ( ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90) != X_90
    | complement(complement(X_90)) = X_90 ),
    inference(resolve,[$cnf( $equal(ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),complement(complement(X_90))) )],[refute_0_1345,refute_0_1346]) ).

cnf(refute_0_1348,plain,
    complement(complement(X_90)) = X_90,
    inference(resolve,[$cnf( $equal(ifeq(join(complement(X_90),X_90),one,ifeq(zero,zero,complement(complement(X_90)),X_90),X_90),X_90) )],[refute_0_1324,refute_0_1347]) ).

cnf(refute_0_1349,plain,
    complement(complement(a)) = a,
    inference(subst,[],[refute_0_1348:[bind(X_90,$fot(a))]]) ).

cnf(refute_0_1350,plain,
    ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),
    introduced(tautology,[refl,[$fot(ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1351,plain,
    ( complement(complement(a)) != a
    | ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) != ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a)))))
    | ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a)))))) ),[1,2],$fot(a)]]) ).

cnf(refute_0_1352,plain,
    ( complement(complement(a)) != a
    | ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))) ),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a)))))) )],[refute_0_1350,refute_0_1351]) ).

cnf(refute_0_1353,plain,
    ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))),
    inference(resolve,[$cnf( $equal(complement(complement(a)),a) )],[refute_0_1349,refute_0_1352]) ).

cnf(refute_0_1354,plain,
    meet(b,meet(complement(a),complement(meet(b,complement(a))))) = zero,
    inference(subst,[],[refute_0_29:[bind(X_43,$fot(b)),bind(X_44,$fot(complement(a)))]]) ).

cnf(refute_0_1355,plain,
    join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) = meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(meet(b,complement(a)))),bind(Z,$fot(meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1356,plain,
    ( join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) != b
    | join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) != meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))))))
    | join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) = meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))),meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))))))) ),[1,1,1,1,1],$fot(b)]]) ).

cnf(refute_0_1357,plain,
    ( join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) != meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))))))
    | join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) = meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),b) )],[refute_0_1305,refute_0_1356]) ).

cnf(refute_0_1358,plain,
    join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) = meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))),meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))))))) )],[refute_0_1355,refute_0_1357]) ).

cnf(refute_0_1359,plain,
    join(X_14,meet(X_14,complement(X_14))) = X_14,
    inference(subst,[],[absorption2:[bind(X,$fot(X_14)),bind(Y,$fot(complement(X_14)))]]) ).

cnf(refute_0_1360,plain,
    meet(X_14,complement(X_14)) = zero,
    inference(subst,[],[complement_meet:[bind(X,$fot(X_14))]]) ).

cnf(refute_0_1361,plain,
    ( join(X_14,meet(X_14,complement(X_14))) != X_14
    | meet(X_14,complement(X_14)) != zero
    | join(X_14,zero) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_14,meet(X_14,complement(X_14))),X_14) ),[0,1],$fot(zero)]]) ).

cnf(refute_0_1362,plain,
    ( join(X_14,meet(X_14,complement(X_14))) != X_14
    | join(X_14,zero) = X_14 ),
    inference(resolve,[$cnf( $equal(meet(X_14,complement(X_14)),zero) )],[refute_0_1360,refute_0_1361]) ).

cnf(refute_0_1363,plain,
    join(X_14,zero) = X_14,
    inference(resolve,[$cnf( $equal(join(X_14,meet(X_14,complement(X_14))),X_14) )],[refute_0_1359,refute_0_1362]) ).

cnf(refute_0_1364,plain,
    join(meet(b,meet(complement(a),Y)),zero) = meet(b,meet(complement(a),Y)),
    inference(subst,[],[refute_0_1363:[bind(X_14,$fot(meet(b,meet(complement(a),Y))))]]) ).

cnf(refute_0_1365,plain,
    meet(zero,join(X_10,zero)) = zero,
    inference(subst,[],[refute_0_40:[bind(X_9,$fot(zero))]]) ).

cnf(refute_0_1366,plain,
    join(X_10,zero) = X_10,
    inference(subst,[],[refute_0_1363:[bind(X_14,$fot(X_10))]]) ).

cnf(refute_0_1367,plain,
    ( join(X_10,zero) != X_10
    | meet(zero,join(X_10,zero)) != zero
    | meet(zero,X_10) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,join(X_10,zero)),zero) ),[0,1],$fot(X_10)]]) ).

cnf(refute_0_1368,plain,
    ( meet(zero,join(X_10,zero)) != zero
    | meet(zero,X_10) = zero ),
    inference(resolve,[$cnf( $equal(join(X_10,zero),X_10) )],[refute_0_1366,refute_0_1367]) ).

cnf(refute_0_1369,plain,
    meet(zero,X_10) = zero,
    inference(resolve,[$cnf( $equal(meet(zero,join(X_10,zero)),zero) )],[refute_0_1365,refute_0_1368]) ).

cnf(refute_0_1370,plain,
    meet(zero,X_10) = meet(X_10,zero),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(zero)),bind(Y,$fot(X_10))]]) ).

cnf(refute_0_1371,plain,
    ( meet(zero,X_10) != meet(X_10,zero)
    | meet(zero,X_10) != zero
    | meet(X_10,zero) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,X_10),zero) ),[0],$fot(meet(X_10,zero))]]) ).

cnf(refute_0_1372,plain,
    ( meet(zero,X_10) != zero
    | meet(X_10,zero) = zero ),
    inference(resolve,[$cnf( $equal(meet(zero,X_10),meet(X_10,zero)) )],[refute_0_1370,refute_0_1371]) ).

cnf(refute_0_1373,plain,
    meet(X_10,zero) = zero,
    inference(resolve,[$cnf( $equal(meet(zero,X_10),zero) )],[refute_0_1369,refute_0_1372]) ).

cnf(refute_0_1374,plain,
    meet(b,zero) = zero,
    inference(subst,[],[refute_0_1373:[bind(X_10,$fot(b))]]) ).

cnf(refute_0_1375,plain,
    meet(meet(b,complement(a)),complement(meet(b,complement(a)))) = zero,
    inference(subst,[],[complement_meet:[bind(X,$fot(meet(b,complement(a))))]]) ).

cnf(refute_0_1376,plain,
    meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) = meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))),
    introduced(tautology,[refl,[$fot(meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1377,plain,
    ( meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) != meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a)))))
    | meet(meet(b,complement(a)),complement(meet(b,complement(a)))) != zero
    | meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) = meet(b,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))),meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a)))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1378,plain,
    ( meet(meet(b,complement(a)),complement(meet(b,complement(a)))) != zero
    | meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) = meet(b,zero) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))),meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a)))))) )],[refute_0_1376,refute_0_1377]) ).

cnf(refute_0_1379,plain,
    meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) = meet(b,zero),
    inference(resolve,[$cnf( $equal(meet(meet(b,complement(a)),complement(meet(b,complement(a)))),zero) )],[refute_0_1375,refute_0_1378]) ).

cnf(refute_0_1380,plain,
    ( meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) != meet(b,zero)
    | meet(b,zero) != zero
    | meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) = zero ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))))),bind(Y0,$fot(meet(b,zero))),bind(Z0,$fot(zero))]]) ).

cnf(refute_0_1381,plain,
    ( meet(b,zero) != zero
    | meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))),meet(b,zero)) )],[refute_0_1379,refute_0_1380]) ).

cnf(refute_0_1382,plain,
    meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) = zero,
    inference(resolve,[$cnf( $equal(meet(b,zero),zero) )],[refute_0_1374,refute_0_1381]) ).

cnf(refute_0_1383,plain,
    meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))) = meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))),
    inference(subst,[],[refute_0_1206:[bind(Y,$fot(complement(meet(b,complement(a))))),bind(X_144,$fot(b)),bind(X_146,$fot(meet(b,complement(a))))]]) ).

cnf(refute_0_1384,plain,
    ( meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))) != meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a)))))
    | meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) != zero
    | meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))) = zero ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))),bind(Y0,$fot(meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))))),bind(Z0,$fot(zero))]]) ).

cnf(refute_0_1385,plain,
    ( meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))) != zero
    | meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a)))))) )],[refute_0_1383,refute_0_1384]) ).

cnf(refute_0_1386,plain,
    meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))) = zero,
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(b,complement(a)),complement(meet(b,complement(a))))),zero) )],[refute_0_1382,refute_0_1385]) ).

cnf(refute_0_1387,plain,
    join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),
    introduced(tautology,[refl,[$fot(join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))))]]) ).

cnf(refute_0_1388,plain,
    ( join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) != join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))
    | meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))) != zero
    | join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(b,meet(complement(a),Y)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1389,plain,
    ( meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))) != zero
    | join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(b,meet(complement(a),Y)),zero) ),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))) )],[refute_0_1387,refute_0_1388]) ).

cnf(refute_0_1390,plain,
    join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(b,meet(complement(a),Y)),zero),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),zero) )],[refute_0_1386,refute_0_1389]) ).

cnf(refute_0_1391,plain,
    meet(meet(b,complement(a)),Y) = meet(b,meet(complement(a),Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(complement(a))),bind(Z,$fot(Y))]]) ).

cnf(refute_0_1392,plain,
    join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),
    introduced(tautology,[refl,[$fot(join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))))]]) ).

cnf(refute_0_1393,plain,
    ( join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) != join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))
    | meet(meet(b,complement(a)),Y) != meet(b,meet(complement(a),Y))
    | join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))) ),[1,0],$fot(meet(b,meet(complement(a),Y)))]]) ).

cnf(refute_0_1394,plain,
    ( meet(meet(b,complement(a)),Y) != meet(b,meet(complement(a),Y))
    | join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))) )],[refute_0_1392,refute_0_1393]) ).

cnf(refute_0_1395,plain,
    join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),
    inference(resolve,[$cnf( $equal(meet(meet(b,complement(a)),Y),meet(b,meet(complement(a),Y))) )],[refute_0_1391,refute_0_1394]) ).

cnf(refute_0_1396,plain,
    ( join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) != join(meet(b,meet(complement(a),Y)),zero)
    | join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) != join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))
    | join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(b,meet(complement(a),Y)),zero) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))))),bind(Y0,$fot(join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))))),bind(Z0,$fot(join(meet(b,meet(complement(a),Y)),zero)))]]) ).

cnf(refute_0_1397,plain,
    ( join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) != join(meet(b,meet(complement(a),Y)),zero)
    | join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(b,meet(complement(a),Y)),zero) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))) )],[refute_0_1395,refute_0_1396]) ).

cnf(refute_0_1398,plain,
    join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = join(meet(b,meet(complement(a),Y)),zero),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(a),Y)),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),join(meet(b,meet(complement(a),Y)),zero)) )],[refute_0_1390,refute_0_1397]) ).

cnf(refute_0_1399,plain,
    ( join(meet(b,meet(complement(a),Y)),zero) != meet(b,meet(complement(a),Y))
    | join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) != join(meet(b,meet(complement(a),Y)),zero)
    | join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = meet(b,meet(complement(a),Y)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))))),bind(Y0,$fot(join(meet(b,meet(complement(a),Y)),zero))),bind(Z0,$fot(meet(b,meet(complement(a),Y))))]]) ).

cnf(refute_0_1400,plain,
    ( join(meet(b,meet(complement(a),Y)),zero) != meet(b,meet(complement(a),Y))
    | join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = meet(b,meet(complement(a),Y)) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),join(meet(b,meet(complement(a),Y)),zero)) )],[refute_0_1398,refute_0_1399]) ).

cnf(refute_0_1401,plain,
    join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) = meet(b,meet(complement(a),Y)),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(a),Y)),zero),meet(b,meet(complement(a),Y))) )],[refute_0_1364,refute_0_1400]) ).

cnf(refute_0_1402,plain,
    join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) = join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),
    inference(subst,[],[refute_0_986:[bind(X_157,$fot(meet(b,complement(a)))),bind(X_158,$fot(Y)),bind(X_43,$fot(b)),bind(X_44,$fot(complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_1403,plain,
    ( join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) != meet(b,meet(complement(a),Y))
    | join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) != join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))
    | join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) = meet(b,meet(complement(a),Y)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))))),bind(Y0,$fot(join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))))),bind(Z0,$fot(meet(b,meet(complement(a),Y))))]]) ).

cnf(refute_0_1404,plain,
    ( join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))) != meet(b,meet(complement(a),Y))
    | join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) = meet(b,meet(complement(a),Y)) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))),join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))))) )],[refute_0_1402,refute_0_1403]) ).

cnf(refute_0_1405,plain,
    join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) = meet(b,meet(complement(a),Y)),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a))))),meet(b,meet(complement(a),Y))) )],[refute_0_1401,refute_0_1404]) ).

cnf(refute_0_1406,plain,
    ( join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) != meet(b,meet(complement(a),Y))
    | join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) != meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))
    | meet(b,meet(complement(a),Y)) = meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))),meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) ),[0],$fot(meet(b,meet(complement(a),Y)))]]) ).

cnf(refute_0_1407,plain,
    ( join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) != meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))
    | meet(b,meet(complement(a),Y)) = meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))),meet(b,meet(complement(a),Y))) )],[refute_0_1405,refute_0_1406]) ).

cnf(refute_0_1408,plain,
    meet(b,meet(b,meet(Y,complement(a)))) = meet(b,meet(Y,complement(a))),
    inference(subst,[],[refute_0_53:[bind(X_10,$fot(b)),bind(X_15,$fot(meet(Y,complement(a))))]]) ).

cnf(refute_0_1409,plain,
    meet(complement(a),meet(Y,b)) = meet(b,meet(Y,complement(a))),
    inference(subst,[],[refute_0_1006:[bind(X,$fot(b)),bind(X_43,$fot(Y)),bind(X_44,$fot(complement(a)))]]) ).

cnf(refute_0_1410,plain,
    join(meet(Y,b),meet(b,meet(complement(a),Y))) = meet(Y,b),
    inference(subst,[],[refute_0_519:[bind(Y,$fot(complement(a))),bind(X_73,$fot(b)),bind(X_75,$fot(Y))]]) ).

cnf(refute_0_1411,plain,
    join(zero,Y) = join(Y,zero),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(zero))]]) ).

cnf(refute_0_1412,plain,
    join(Y,zero) = Y,
    inference(subst,[],[refute_0_1363:[bind(X_14,$fot(Y))]]) ).

cnf(refute_0_1413,plain,
    ( join(Y,zero) != Y
    | join(zero,Y) != join(Y,zero)
    | join(zero,Y) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,Y),join(Y,zero)) ),[1],$fot(Y)]]) ).

cnf(refute_0_1414,plain,
    ( join(zero,Y) != join(Y,zero)
    | join(zero,Y) = Y ),
    inference(resolve,[$cnf( $equal(join(Y,zero),Y) )],[refute_0_1412,refute_0_1413]) ).

cnf(refute_0_1415,plain,
    join(zero,Y) = Y,
    inference(resolve,[$cnf( $equal(join(zero,Y),join(Y,zero)) )],[refute_0_1411,refute_0_1414]) ).

cnf(refute_0_1416,plain,
    join(zero,meet(b,meet(complement(a),Y))) = meet(b,meet(complement(a),Y)),
    inference(subst,[],[refute_0_1415:[bind(Y,$fot(meet(b,meet(complement(a),Y))))]]) ).

cnf(refute_0_1417,plain,
    join(zero,meet(meet(b,complement(a)),Y)) = join(zero,meet(meet(b,complement(a)),Y)),
    introduced(tautology,[refl,[$fot(join(zero,meet(meet(b,complement(a)),Y)))]]) ).

cnf(refute_0_1418,plain,
    ( join(zero,meet(meet(b,complement(a)),Y)) != join(zero,meet(meet(b,complement(a)),Y))
    | meet(meet(b,complement(a)),Y) != meet(b,meet(complement(a),Y))
    | join(zero,meet(meet(b,complement(a)),Y)) = join(zero,meet(b,meet(complement(a),Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(b,complement(a)),Y)),join(zero,meet(meet(b,complement(a)),Y))) ),[1,1],$fot(meet(b,meet(complement(a),Y)))]]) ).

cnf(refute_0_1419,plain,
    ( meet(meet(b,complement(a)),Y) != meet(b,meet(complement(a),Y))
    | join(zero,meet(meet(b,complement(a)),Y)) = join(zero,meet(b,meet(complement(a),Y))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(meet(b,complement(a)),Y)),join(zero,meet(meet(b,complement(a)),Y))) )],[refute_0_1417,refute_0_1418]) ).

cnf(refute_0_1420,plain,
    join(zero,meet(meet(b,complement(a)),Y)) = join(zero,meet(b,meet(complement(a),Y))),
    inference(resolve,[$cnf( $equal(meet(meet(b,complement(a)),Y),meet(b,meet(complement(a),Y))) )],[refute_0_1391,refute_0_1419]) ).

cnf(refute_0_1421,plain,
    join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) = join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)),
    introduced(tautology,[refl,[$fot(join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)))]]) ).

cnf(refute_0_1422,plain,
    ( join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) != join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y))
    | meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))) != zero
    | join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) = join(zero,meet(meet(b,complement(a)),Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)),join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1423,plain,
    ( meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))) != zero
    | join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) = join(zero,meet(meet(b,complement(a)),Y)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)),join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y))) )],[refute_0_1421,refute_0_1422]) ).

cnf(refute_0_1424,plain,
    join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) = join(zero,meet(meet(b,complement(a)),Y)),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),zero) )],[refute_0_1386,refute_0_1423]) ).

cnf(refute_0_1425,plain,
    ( join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) != join(zero,meet(meet(b,complement(a)),Y))
    | join(zero,meet(meet(b,complement(a)),Y)) != join(zero,meet(b,meet(complement(a),Y)))
    | join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) = join(zero,meet(b,meet(complement(a),Y))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)))),bind(Y0,$fot(join(zero,meet(meet(b,complement(a)),Y)))),bind(Z0,$fot(join(zero,meet(b,meet(complement(a),Y)))))]]) ).

cnf(refute_0_1426,plain,
    ( join(zero,meet(meet(b,complement(a)),Y)) != join(zero,meet(b,meet(complement(a),Y)))
    | join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) = join(zero,meet(b,meet(complement(a),Y))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)),join(zero,meet(meet(b,complement(a)),Y))) )],[refute_0_1424,refute_0_1425]) ).

cnf(refute_0_1427,plain,
    join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) = join(zero,meet(b,meet(complement(a),Y))),
    inference(resolve,[$cnf( $equal(join(zero,meet(meet(b,complement(a)),Y)),join(zero,meet(b,meet(complement(a),Y)))) )],[refute_0_1420,refute_0_1426]) ).

cnf(refute_0_1428,plain,
    ( join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) != join(zero,meet(b,meet(complement(a),Y)))
    | join(zero,meet(b,meet(complement(a),Y))) != meet(b,meet(complement(a),Y))
    | join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) = meet(b,meet(complement(a),Y)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)))),bind(Y0,$fot(join(zero,meet(b,meet(complement(a),Y))))),bind(Z0,$fot(meet(b,meet(complement(a),Y))))]]) ).

cnf(refute_0_1429,plain,
    ( join(zero,meet(b,meet(complement(a),Y))) != meet(b,meet(complement(a),Y))
    | join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) = meet(b,meet(complement(a),Y)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)),join(zero,meet(b,meet(complement(a),Y)))) )],[refute_0_1427,refute_0_1428]) ).

cnf(refute_0_1430,plain,
    join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) = meet(b,meet(complement(a),Y)),
    inference(resolve,[$cnf( $equal(join(zero,meet(b,meet(complement(a),Y))),meet(b,meet(complement(a),Y))) )],[refute_0_1416,refute_0_1429]) ).

cnf(refute_0_1431,plain,
    join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)) = meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(X_157)),bind(Y,$fot(meet(X_43,X_44))),bind(Z,$fot(X_159))]]) ).

cnf(refute_0_1432,plain,
    ( join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159)))))
    | meet(X_157,meet(X_43,X_44)) != meet(X_43,meet(X_44,X_157))
    | join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)) = meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)),meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159)))))) ),[0,0],$fot(meet(X_43,meet(X_44,X_157)))]]) ).

cnf(refute_0_1433,plain,
    ( join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159)))))
    | join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)) = meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,meet(X_43,X_44)),meet(X_43,meet(X_44,X_157))) )],[refute_0_975,refute_0_1432]) ).

cnf(refute_0_1434,plain,
    join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)) = meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159))))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)),meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159)))))) )],[refute_0_1431,refute_0_1433]) ).

cnf(refute_0_1435,plain,
    meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159))))) = join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)),
    inference(subst,[],[refute_0_980:[bind(X,$fot(X_157)),bind(Y,$fot(meet(X_43,X_44))),bind(Z,$fot(X_159))]]) ).

cnf(refute_0_1436,plain,
    ( join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159)))))
    | meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159))))) != join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159))
    | join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)) = join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)),join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159))) ),[0],$fot(meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159))))))]]) ).

cnf(refute_0_1437,plain,
    ( join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159)))))
    | join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)) = join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)) ),
    inference(resolve,[$cnf( $equal(meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159))))),join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159))) )],[refute_0_1435,refute_0_1436]) ).

cnf(refute_0_1438,plain,
    join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)) = join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)),
    inference(resolve,[$cnf( $equal(join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)),meet(X_157,join(meet(X_157,meet(X_43,X_44)),join(meet(X_157,X_159),meet(meet(X_43,X_44),join(X_157,X_159)))))) )],[refute_0_1434,refute_0_1437]) ).

cnf(refute_0_1439,plain,
    ( join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)) != join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159))
    | join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)) = join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)))),bind(Y0,$fot(join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159))))]]) ).

cnf(refute_0_1440,plain,
    join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159)) = join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)),
    inference(resolve,[$cnf( $equal(join(meet(X_43,meet(X_44,X_157)),meet(X_157,X_159)),join(meet(X_157,meet(X_43,X_44)),meet(X_157,X_159))) )],[refute_0_1438,refute_0_1439]) ).

cnf(refute_0_1441,plain,
    join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)) = join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)),
    inference(subst,[],[refute_0_1440:[bind(X_157,$fot(meet(b,complement(a)))),bind(X_159,$fot(Y)),bind(X_43,$fot(b)),bind(X_44,$fot(complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_1442,plain,
    ( join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) != meet(b,meet(complement(a),Y))
    | join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)) != join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y))
    | join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)) = meet(b,meet(complement(a),Y)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)))),bind(Y0,$fot(join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)))),bind(Z0,$fot(meet(b,meet(complement(a),Y))))]]) ).

cnf(refute_0_1443,plain,
    ( join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)) != meet(b,meet(complement(a),Y))
    | join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)) = meet(b,meet(complement(a),Y)) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)),join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y))) )],[refute_0_1441,refute_0_1442]) ).

cnf(refute_0_1444,plain,
    join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)) = meet(b,meet(complement(a),Y)),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(meet(b,complement(a))),meet(b,complement(a)))),meet(meet(b,complement(a)),Y)),meet(b,meet(complement(a),Y))) )],[refute_0_1430,refute_0_1443]) ).

cnf(refute_0_1445,plain,
    join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) = join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))),
    introduced(tautology,[refl,[$fot(join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))))]]) ).

cnf(refute_0_1446,plain,
    ( join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) != join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)))
    | join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)) != meet(b,meet(complement(a),Y))
    | join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) = join(meet(Y,b),meet(b,meet(complement(a),Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))),join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)))) ),[1,1],$fot(meet(b,meet(complement(a),Y)))]]) ).

cnf(refute_0_1447,plain,
    ( join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)) != meet(b,meet(complement(a),Y))
    | join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) = join(meet(Y,b),meet(b,meet(complement(a),Y))) ),
    inference(resolve,[$cnf( $equal(join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))),join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)))) )],[refute_0_1445,refute_0_1446]) ).

cnf(refute_0_1448,plain,
    join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) = join(meet(Y,b),meet(b,meet(complement(a),Y))),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)),meet(b,meet(complement(a),Y))) )],[refute_0_1444,refute_0_1447]) ).

cnf(refute_0_1449,plain,
    ( join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) != join(meet(Y,b),meet(b,meet(complement(a),Y)))
    | join(meet(Y,b),meet(b,meet(complement(a),Y))) != meet(Y,b)
    | join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) = meet(Y,b) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))))),bind(Y0,$fot(join(meet(Y,b),meet(b,meet(complement(a),Y))))),bind(Z0,$fot(meet(Y,b)))]]) ).

cnf(refute_0_1450,plain,
    ( join(meet(Y,b),meet(b,meet(complement(a),Y))) != meet(Y,b)
    | join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) = meet(Y,b) ),
    inference(resolve,[$cnf( $equal(join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))),join(meet(Y,b),meet(b,meet(complement(a),Y)))) )],[refute_0_1448,refute_0_1449]) ).

cnf(refute_0_1451,plain,
    join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) = meet(Y,b),
    inference(resolve,[$cnf( $equal(join(meet(Y,b),meet(b,meet(complement(a),Y))),meet(Y,b)) )],[refute_0_1410,refute_0_1450]) ).

cnf(refute_0_1452,plain,
    join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))) = join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))),
    inference(subst,[],[refute_0_307:[bind(Y,$fot(meet(Y,b))),bind(X_154,$fot(meet(meet(b,complement(a)),Y))),bind(X_155,$fot(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))))]]) ).

cnf(refute_0_1453,plain,
    ( join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) != meet(Y,b)
    | join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))) != join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)))
    | join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))) = meet(Y,b) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))),bind(Y0,$fot(join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))))),bind(Z0,$fot(meet(Y,b)))]]) ).

cnf(refute_0_1454,plain,
    ( join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))) != meet(Y,b)
    | join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))) = meet(Y,b) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))),join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y)))) )],[refute_0_1452,refute_0_1453]) ).

cnf(refute_0_1455,plain,
    join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))) = meet(Y,b),
    inference(resolve,[$cnf( $equal(join(meet(Y,b),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(meet(b,complement(a)),Y))),meet(Y,b)) )],[refute_0_1451,refute_0_1454]) ).

cnf(refute_0_1456,plain,
    meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))),
    introduced(tautology,[refl,[$fot(meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))))]]) ).

cnf(refute_0_1457,plain,
    ( join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))) != meet(Y,b)
    | meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) != meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))
    | meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(complement(a),meet(Y,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))),meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) ),[1,1],$fot(meet(Y,b))]]) ).

cnf(refute_0_1458,plain,
    ( join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))) != meet(Y,b)
    | meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(complement(a),meet(Y,b)) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))),meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) )],[refute_0_1456,refute_0_1457]) ).

cnf(refute_0_1459,plain,
    meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(complement(a),meet(Y,b)),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))),meet(Y,b)) )],[refute_0_1455,refute_0_1458]) ).

cnf(refute_0_1460,plain,
    ( meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) != meet(complement(a),meet(Y,b))
    | meet(complement(a),meet(Y,b)) != meet(b,meet(Y,complement(a)))
    | meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(b,meet(Y,complement(a))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))))),bind(Y0,$fot(meet(complement(a),meet(Y,b)))),bind(Z0,$fot(meet(b,meet(Y,complement(a)))))]]) ).

cnf(refute_0_1461,plain,
    ( meet(complement(a),meet(Y,b)) != meet(b,meet(Y,complement(a)))
    | meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(b,meet(Y,complement(a))) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))),meet(complement(a),meet(Y,b))) )],[refute_0_1459,refute_0_1460]) ).

cnf(refute_0_1462,plain,
    meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(b,meet(Y,complement(a))),
    inference(resolve,[$cnf( $equal(meet(complement(a),meet(Y,b)),meet(b,meet(Y,complement(a)))) )],[refute_0_1409,refute_0_1461]) ).

cnf(refute_0_1463,plain,
    meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) = meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))),
    introduced(tautology,[refl,[$fot(meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))))]]) ).

cnf(refute_0_1464,plain,
    ( meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) != meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))))
    | meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) != meet(b,meet(Y,complement(a)))
    | meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) = meet(b,meet(b,meet(Y,complement(a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))),meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))))) ),[1,1],$fot(meet(b,meet(Y,complement(a))))]]) ).

cnf(refute_0_1465,plain,
    ( meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) != meet(b,meet(Y,complement(a)))
    | meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) = meet(b,meet(b,meet(Y,complement(a)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))),meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))))) )],[refute_0_1463,refute_0_1464]) ).

cnf(refute_0_1466,plain,
    meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) = meet(b,meet(b,meet(Y,complement(a)))),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))),meet(b,meet(Y,complement(a)))) )],[refute_0_1462,refute_0_1465]) ).

cnf(refute_0_1467,plain,
    ( meet(b,meet(b,meet(Y,complement(a)))) != meet(b,meet(Y,complement(a)))
    | meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) != meet(b,meet(b,meet(Y,complement(a))))
    | meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) = meet(b,meet(Y,complement(a))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))))),bind(Y0,$fot(meet(b,meet(b,meet(Y,complement(a)))))),bind(Z0,$fot(meet(b,meet(Y,complement(a)))))]]) ).

cnf(refute_0_1468,plain,
    ( meet(b,meet(b,meet(Y,complement(a)))) != meet(b,meet(Y,complement(a)))
    | meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) = meet(b,meet(Y,complement(a))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))),meet(b,meet(b,meet(Y,complement(a))))) )],[refute_0_1466,refute_0_1467]) ).

cnf(refute_0_1469,plain,
    meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) = meet(b,meet(Y,complement(a))),
    inference(resolve,[$cnf( $equal(meet(b,meet(b,meet(Y,complement(a)))),meet(b,meet(Y,complement(a)))) )],[refute_0_1408,refute_0_1468]) ).

cnf(refute_0_1470,plain,
    meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(complement(a))),bind(Z,$fot(join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))))]]) ).

cnf(refute_0_1471,plain,
    ( meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) != meet(b,meet(Y,complement(a)))
    | meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) != meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))))
    | meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(b,meet(Y,complement(a))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))))),bind(Y0,$fot(meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))))),bind(Z0,$fot(meet(b,meet(Y,complement(a)))))]]) ).

cnf(refute_0_1472,plain,
    ( meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) != meet(b,meet(Y,complement(a)))
    | meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(b,meet(Y,complement(a))) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))),meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))))) )],[refute_0_1470,refute_0_1471]) ).

cnf(refute_0_1473,plain,
    meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) = meet(b,meet(Y,complement(a))),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))),meet(b,meet(Y,complement(a)))) )],[refute_0_1469,refute_0_1472]) ).

cnf(refute_0_1474,plain,
    ( meet(b,meet(complement(a),Y)) != meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))
    | meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))) != meet(b,meet(Y,complement(a)))
    | meet(b,meet(complement(a),Y)) = meet(b,meet(Y,complement(a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,meet(complement(a),Y)),meet(b,meet(Y,complement(a)))) ),[0],$fot(meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))))]]) ).

cnf(refute_0_1475,plain,
    ( meet(b,meet(complement(a),Y)) != meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))
    | meet(b,meet(complement(a),Y)) = meet(b,meet(Y,complement(a))) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b)))),meet(b,meet(Y,complement(a)))) )],[refute_0_1473,refute_0_1474]) ).

cnf(refute_0_1476,plain,
    ( join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))) != meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))
    | meet(b,meet(complement(a),Y)) = meet(b,meet(Y,complement(a))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),Y)),meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) )],[refute_0_1407,refute_0_1475]) ).

cnf(refute_0_1477,plain,
    meet(b,meet(complement(a),Y)) = meet(b,meet(Y,complement(a))),
    inference(resolve,[$cnf( $equal(join(meet(meet(b,complement(a)),Y),meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))),meet(meet(b,complement(a)),join(meet(meet(b,complement(a)),Y),join(meet(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),meet(Y,b))))) )],[refute_0_1358,refute_0_1476]) ).

cnf(refute_0_1478,plain,
    ( meet(b,meet(complement(a),Y)) != meet(b,meet(Y,complement(a)))
    | meet(b,meet(Y,complement(a))) = meet(b,meet(complement(a),Y)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(b,meet(complement(a),Y)))),bind(Y0,$fot(meet(b,meet(Y,complement(a)))))]]) ).

cnf(refute_0_1479,plain,
    meet(b,meet(Y,complement(a))) = meet(b,meet(complement(a),Y)),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),Y)),meet(b,meet(Y,complement(a)))) )],[refute_0_1477,refute_0_1478]) ).

cnf(refute_0_1480,plain,
    meet(b,meet(complement(meet(b,complement(a))),complement(a))) = meet(b,meet(complement(a),complement(meet(b,complement(a))))),
    inference(subst,[],[refute_0_1479:[bind(Y,$fot(complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_1481,plain,
    ( meet(b,meet(complement(a),complement(meet(b,complement(a))))) != zero
    | meet(b,meet(complement(meet(b,complement(a))),complement(a))) != meet(b,meet(complement(a),complement(meet(b,complement(a)))))
    | meet(b,meet(complement(meet(b,complement(a))),complement(a))) = zero ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(complement(meet(b,complement(a))),complement(a))))),bind(Y0,$fot(meet(b,meet(complement(a),complement(meet(b,complement(a))))))),bind(Z0,$fot(zero))]]) ).

cnf(refute_0_1482,plain,
    ( meet(b,meet(complement(a),complement(meet(b,complement(a))))) != zero
    | meet(b,meet(complement(meet(b,complement(a))),complement(a))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(meet(b,complement(a))),complement(a))),meet(b,meet(complement(a),complement(meet(b,complement(a)))))) )],[refute_0_1480,refute_0_1481]) ).

cnf(refute_0_1483,plain,
    meet(b,meet(complement(meet(b,complement(a))),complement(a))) = zero,
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),complement(meet(b,complement(a))))),zero) )],[refute_0_1354,refute_0_1482]) ).

cnf(refute_0_1484,plain,
    meet(meet(b,complement(meet(b,complement(a)))),complement(a)) = meet(b,meet(complement(meet(b,complement(a))),complement(a))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(complement(meet(b,complement(a))))),bind(Z,$fot(complement(a)))]]) ).

cnf(refute_0_1485,plain,
    ( meet(b,meet(complement(meet(b,complement(a))),complement(a))) != zero
    | meet(meet(b,complement(meet(b,complement(a)))),complement(a)) != meet(b,meet(complement(meet(b,complement(a))),complement(a)))
    | meet(meet(b,complement(meet(b,complement(a)))),complement(a)) = zero ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(b,complement(meet(b,complement(a)))),complement(a)))),bind(Y0,$fot(meet(b,meet(complement(meet(b,complement(a))),complement(a))))),bind(Z0,$fot(zero))]]) ).

cnf(refute_0_1486,plain,
    ( meet(b,meet(complement(meet(b,complement(a))),complement(a))) != zero
    | meet(meet(b,complement(meet(b,complement(a)))),complement(a)) = zero ),
    inference(resolve,[$cnf( $equal(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),meet(b,meet(complement(meet(b,complement(a))),complement(a)))) )],[refute_0_1484,refute_0_1485]) ).

cnf(refute_0_1487,plain,
    meet(meet(b,complement(meet(b,complement(a)))),complement(a)) = zero,
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(meet(b,complement(a))),complement(a))),zero) )],[refute_0_1483,refute_0_1486]) ).

cnf(refute_0_1488,plain,
    ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),
    introduced(tautology,[refl,[$fot(ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1489,plain,
    ( ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) != ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a)))))
    | meet(meet(b,complement(meet(b,complement(a)))),complement(a)) != zero
    | ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1490,plain,
    ( meet(meet(b,complement(meet(b,complement(a)))),complement(a)) != zero
    | ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a)))))) )],[refute_0_1488,refute_0_1489]) ).

cnf(refute_0_1491,plain,
    ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),
    inference(resolve,[$cnf( $equal(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero) )],[refute_0_1487,refute_0_1490]) ).

cnf(refute_0_1492,plain,
    ( ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) != ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a)))))
    | ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) != ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a)))))
    | ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))))),bind(Y0,$fot(ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))))),bind(Z0,$fot(ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a)))))))]]) ).

cnf(refute_0_1493,plain,
    ( ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) != ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a)))))
    | ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a)))))) )],[refute_0_1491,refute_0_1492]) ).

cnf(refute_0_1494,plain,
    ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a)))))) )],[refute_0_1353,refute_0_1493]) ).

cnf(refute_0_1495,plain,
    ( ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) != ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a)))))
    | ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))) != a
    | ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = a ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))))),bind(Y0,$fot(ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))))),bind(Z0,$fot(a))]]) ).

cnf(refute_0_1496,plain,
    ( ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))) != a
    | ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = a ),
    inference(resolve,[$cnf( $equal(ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a)))))) )],[refute_0_1494,refute_0_1495]) ).

cnf(refute_0_1497,plain,
    ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) = a,
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,a,meet(b,complement(meet(b,complement(a))))),a) )],[refute_0_1319,refute_0_1496]) ).

cnf(refute_0_1498,plain,
    ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) = ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(one)),bind(B,$fot(ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))))),bind(C,$fot(meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1499,plain,
    ( ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) != a
    | ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) != ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a)))))
    | ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) = a ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))))),bind(Y0,$fot(ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))))),bind(Z0,$fot(a))]]) ).

cnf(refute_0_1500,plain,
    ( ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))) != a
    | ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) = a ),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))),ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a)))))) )],[refute_0_1498,refute_0_1499]) ).

cnf(refute_0_1501,plain,
    ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) = a,
    inference(resolve,[$cnf( $equal(ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),a) )],[refute_0_1497,refute_0_1500]) ).

cnf(refute_0_1502,plain,
    ( ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) != a
    | ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) != meet(b,complement(meet(b,complement(a))))
    | a = meet(b,complement(meet(b,complement(a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) ),[0],$fot(a)]]) ).

cnf(refute_0_1503,plain,
    ( ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) != meet(b,complement(meet(b,complement(a))))
    | a = meet(b,complement(meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))),a) )],[refute_0_1501,refute_0_1502]) ).

cnf(refute_0_1504,plain,
    a = meet(b,complement(meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(meet(meet(b,complement(meet(b,complement(a)))),complement(a)),zero,complement(complement(a)),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))),meet(b,complement(meet(b,complement(a))))) )],[refute_0_1318,refute_0_1503]) ).

cnf(refute_0_1505,plain,
    ( a != meet(b,complement(meet(b,complement(a))))
    | meet(b,complement(meet(b,complement(a)))) = a ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(a)),bind(Y0,$fot(meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1506,plain,
    meet(b,complement(meet(b,complement(a)))) = a,
    inference(resolve,[$cnf( $equal(a,meet(b,complement(meet(b,complement(a))))) )],[refute_0_1504,refute_0_1505]) ).

cnf(refute_0_1507,plain,
    ( meet(X,meet(b,complement(meet(b,complement(a))))) != meet(b,meet(complement(meet(b,complement(a))),X))
    | meet(b,complement(meet(b,complement(a)))) != a
    | meet(X,a) = meet(b,meet(complement(meet(b,complement(a))),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(b,complement(meet(b,complement(a))))),meet(b,meet(complement(meet(b,complement(a))),X))) ),[0,1],$fot(a)]]) ).

cnf(refute_0_1508,plain,
    ( meet(X,meet(b,complement(meet(b,complement(a))))) != meet(b,meet(complement(meet(b,complement(a))),X))
    | meet(X,a) = meet(b,meet(complement(meet(b,complement(a))),X)) ),
    inference(resolve,[$cnf( $equal(meet(b,complement(meet(b,complement(a)))),a) )],[refute_0_1506,refute_0_1507]) ).

cnf(refute_0_1509,plain,
    meet(X,a) = meet(b,meet(complement(meet(b,complement(a))),X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(b,complement(meet(b,complement(a))))),meet(b,meet(complement(meet(b,complement(a))),X))) )],[refute_0_1284,refute_0_1508]) ).

cnf(refute_0_1510,plain,
    ifeq(join(meet(X_43,X_44),Y),one,ifeq(meet(meet(X_43,X_44),Y),zero,complement(meet(X_43,X_44)),Y),Y) = Y,
    inference(subst,[],[meet_join_complement:[bind(X,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_1511,plain,
    ( ifeq(join(meet(X_43,X_44),Y),one,ifeq(meet(meet(X_43,X_44),Y),zero,complement(meet(X_43,X_44)),Y),Y) != Y
    | meet(meet(X_43,X_44),Y) != meet(X_43,meet(X_44,Y))
    | ifeq(join(meet(X_43,X_44),Y),one,ifeq(meet(X_43,meet(X_44,Y)),zero,complement(meet(X_43,X_44)),Y),Y) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(meet(X_43,X_44),Y),one,ifeq(meet(meet(X_43,X_44),Y),zero,complement(meet(X_43,X_44)),Y),Y),Y) ),[0,2,0],$fot(meet(X_43,meet(X_44,Y)))]]) ).

cnf(refute_0_1512,plain,
    ( ifeq(join(meet(X_43,X_44),Y),one,ifeq(meet(meet(X_43,X_44),Y),zero,complement(meet(X_43,X_44)),Y),Y) != Y
    | ifeq(join(meet(X_43,X_44),Y),one,ifeq(meet(X_43,meet(X_44,Y)),zero,complement(meet(X_43,X_44)),Y),Y) = Y ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),Y),meet(X_43,meet(X_44,Y))) )],[refute_0_1170,refute_0_1511]) ).

cnf(refute_0_1513,plain,
    ifeq(join(meet(X_43,X_44),Y),one,ifeq(meet(X_43,meet(X_44,Y)),zero,complement(meet(X_43,X_44)),Y),Y) = Y,
    inference(resolve,[$cnf( $equal(ifeq(join(meet(X_43,X_44),Y),one,ifeq(meet(meet(X_43,X_44),Y),zero,complement(meet(X_43,X_44)),Y),Y),Y) )],[refute_0_1510,refute_0_1512]) ).

cnf(refute_0_1514,plain,
    ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(meet(b,meet(complement(a),join(a,complement(b)))),zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = join(a,complement(b)),
    inference(subst,[],[refute_0_1513:[bind(Y,$fot(join(a,complement(b)))),bind(X_43,$fot(b)),bind(X_44,$fot(complement(a)))]]) ).

cnf(refute_0_1515,plain,
    meet(meet(X_43,join(X_43,Y)),X_45) = meet(X_43,meet(join(X_43,Y),X_45)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(join(X_43,Y))),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_1516,plain,
    meet(X_43,join(X_43,Y)) = X_43,
    inference(subst,[],[absorption1:[bind(X,$fot(X_43))]]) ).

cnf(refute_0_1517,plain,
    ( meet(X_43,join(X_43,Y)) != X_43
    | meet(meet(X_43,join(X_43,Y)),X_45) != meet(X_43,meet(join(X_43,Y),X_45))
    | meet(X_43,X_45) = meet(X_43,meet(join(X_43,Y),X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,join(X_43,Y)),X_45),meet(X_43,meet(join(X_43,Y),X_45))) ),[0,0],$fot(X_43)]]) ).

cnf(refute_0_1518,plain,
    ( meet(meet(X_43,join(X_43,Y)),X_45) != meet(X_43,meet(join(X_43,Y),X_45))
    | meet(X_43,X_45) = meet(X_43,meet(join(X_43,Y),X_45)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,join(X_43,Y)),X_43) )],[refute_0_1516,refute_0_1517]) ).

cnf(refute_0_1519,plain,
    meet(X_43,X_45) = meet(X_43,meet(join(X_43,Y),X_45)),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,join(X_43,Y)),X_45),meet(X_43,meet(join(X_43,Y),X_45))) )],[refute_0_1515,refute_0_1518]) ).

cnf(refute_0_1520,plain,
    meet(X_137,complement(join(X_137,X_136))) = meet(X_137,meet(join(X_137,X_136),complement(join(X_137,X_136)))),
    inference(subst,[],[refute_0_1519:[bind(Y,$fot(X_136)),bind(X_43,$fot(X_137)),bind(X_45,$fot(complement(join(X_137,X_136))))]]) ).

cnf(refute_0_1521,plain,
    meet(join(X_137,X_136),complement(join(X_137,X_136))) = zero,
    inference(subst,[],[complement_meet:[bind(X,$fot(join(X_137,X_136)))]]) ).

cnf(refute_0_1522,plain,
    ( meet(X_137,complement(join(X_137,X_136))) != meet(X_137,meet(join(X_137,X_136),complement(join(X_137,X_136))))
    | meet(join(X_137,X_136),complement(join(X_137,X_136))) != zero
    | meet(X_137,complement(join(X_137,X_136))) = meet(X_137,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_137,complement(join(X_137,X_136))),meet(X_137,meet(join(X_137,X_136),complement(join(X_137,X_136))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1523,plain,
    ( meet(X_137,complement(join(X_137,X_136))) != meet(X_137,meet(join(X_137,X_136),complement(join(X_137,X_136))))
    | meet(X_137,complement(join(X_137,X_136))) = meet(X_137,zero) ),
    inference(resolve,[$cnf( $equal(meet(join(X_137,X_136),complement(join(X_137,X_136))),zero) )],[refute_0_1521,refute_0_1522]) ).

cnf(refute_0_1524,plain,
    meet(X_137,complement(join(X_137,X_136))) = meet(X_137,zero),
    inference(resolve,[$cnf( $equal(meet(X_137,complement(join(X_137,X_136))),meet(X_137,meet(join(X_137,X_136),complement(join(X_137,X_136))))) )],[refute_0_1520,refute_0_1523]) ).

cnf(refute_0_1525,plain,
    meet(X_137,zero) = zero,
    inference(subst,[],[refute_0_1373:[bind(X_10,$fot(X_137))]]) ).

cnf(refute_0_1526,plain,
    ( meet(X_137,complement(join(X_137,X_136))) != meet(X_137,zero)
    | meet(X_137,zero) != zero
    | meet(X_137,complement(join(X_137,X_136))) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_137,complement(join(X_137,X_136))),zero) ),[0],$fot(meet(X_137,zero))]]) ).

cnf(refute_0_1527,plain,
    ( meet(X_137,complement(join(X_137,X_136))) != meet(X_137,zero)
    | meet(X_137,complement(join(X_137,X_136))) = zero ),
    inference(resolve,[$cnf( $equal(meet(X_137,zero),zero) )],[refute_0_1525,refute_0_1526]) ).

cnf(refute_0_1528,plain,
    meet(X_137,complement(join(X_137,X_136))) = zero,
    inference(resolve,[$cnf( $equal(meet(X_137,complement(join(X_137,X_136))),meet(X_137,zero)) )],[refute_0_1524,refute_0_1527]) ).

cnf(refute_0_1529,plain,
    meet(X_140,complement(join(X_140,X_139))) = zero,
    inference(subst,[],[refute_0_1528:[bind(X_136,$fot(X_139)),bind(X_137,$fot(X_140))]]) ).

cnf(refute_0_1530,plain,
    join(X_139,X_140) = join(X_140,X_139),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_139)),bind(Y,$fot(X_140))]]) ).

cnf(refute_0_1531,plain,
    ( join(X_139,X_140) != join(X_140,X_139)
    | join(X_140,X_139) = join(X_139,X_140) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_139,X_140))),bind(Y0,$fot(join(X_140,X_139)))]]) ).

cnf(refute_0_1532,plain,
    join(X_140,X_139) = join(X_139,X_140),
    inference(resolve,[$cnf( $equal(join(X_139,X_140),join(X_140,X_139)) )],[refute_0_1530,refute_0_1531]) ).

cnf(refute_0_1533,plain,
    ( join(X_140,X_139) != join(X_139,X_140)
    | meet(X_140,complement(join(X_140,X_139))) != zero
    | meet(X_140,complement(join(X_139,X_140))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_140,complement(join(X_140,X_139))),zero) ),[0,1,0],$fot(join(X_139,X_140))]]) ).

cnf(refute_0_1534,plain,
    ( meet(X_140,complement(join(X_140,X_139))) != zero
    | meet(X_140,complement(join(X_139,X_140))) = zero ),
    inference(resolve,[$cnf( $equal(join(X_140,X_139),join(X_139,X_140)) )],[refute_0_1532,refute_0_1533]) ).

cnf(refute_0_1535,plain,
    meet(X_140,complement(join(X_139,X_140))) = zero,
    inference(resolve,[$cnf( $equal(meet(X_140,complement(join(X_140,X_139))),zero) )],[refute_0_1529,refute_0_1534]) ).

cnf(refute_0_1536,plain,
    meet(meet(X_256,b),complement(join(a,meet(X_256,b)))) = zero,
    inference(subst,[],[refute_0_1535:[bind(X_139,$fot(a)),bind(X_140,$fot(meet(X_256,b)))]]) ).

cnf(refute_0_1537,plain,
    meet(join(a,X_218),join(a,join(X_218,b))) = join(a,X_218),
    inference(subst,[],[refute_0_706:[bind(Y,$fot(b)),bind(X_31,$fot(a)),bind(X_32,$fot(X_218))]]) ).

cnf(refute_0_1538,plain,
    join(b,X_218) = join(a,join(X_218,b)),
    inference(subst,[],[refute_0_129:[bind(X_57,$fot(X_218))]]) ).

cnf(refute_0_1539,plain,
    ( join(b,X_218) != join(a,join(X_218,b))
    | join(a,join(X_218,b)) = join(b,X_218) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(b,X_218))),bind(Y0,$fot(join(a,join(X_218,b))))]]) ).

cnf(refute_0_1540,plain,
    join(a,join(X_218,b)) = join(b,X_218),
    inference(resolve,[$cnf( $equal(join(b,X_218),join(a,join(X_218,b))) )],[refute_0_1538,refute_0_1539]) ).

cnf(refute_0_1541,plain,
    ( join(a,join(X_218,b)) != join(b,X_218)
    | meet(join(a,X_218),join(a,join(X_218,b))) != join(a,X_218)
    | meet(join(a,X_218),join(b,X_218)) = join(a,X_218) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_218),join(a,join(X_218,b))),join(a,X_218)) ),[0,1],$fot(join(b,X_218))]]) ).

cnf(refute_0_1542,plain,
    ( meet(join(a,X_218),join(a,join(X_218,b))) != join(a,X_218)
    | meet(join(a,X_218),join(b,X_218)) = join(a,X_218) ),
    inference(resolve,[$cnf( $equal(join(a,join(X_218,b)),join(b,X_218)) )],[refute_0_1540,refute_0_1541]) ).

cnf(refute_0_1543,plain,
    meet(join(a,X_218),join(b,X_218)) = join(a,X_218),
    inference(resolve,[$cnf( $equal(meet(join(a,X_218),join(a,join(X_218,b))),join(a,X_218)) )],[refute_0_1537,refute_0_1542]) ).

cnf(refute_0_1544,plain,
    meet(join(a,meet(Y,b)),join(b,meet(Y,b))) = join(a,meet(Y,b)),
    inference(subst,[],[refute_0_1543:[bind(X_218,$fot(meet(Y,b)))]]) ).

cnf(refute_0_1545,plain,
    join(b,meet(Y,b)) = b,
    inference(subst,[],[refute_0_2:[bind(X,$fot(b))]]) ).

cnf(refute_0_1546,plain,
    ( join(b,meet(Y,b)) != b
    | meet(join(a,meet(Y,b)),join(b,meet(Y,b))) != join(a,meet(Y,b))
    | meet(join(a,meet(Y,b)),b) = join(a,meet(Y,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,meet(Y,b)),join(b,meet(Y,b))),join(a,meet(Y,b))) ),[0,1],$fot(b)]]) ).

cnf(refute_0_1547,plain,
    ( meet(join(a,meet(Y,b)),join(b,meet(Y,b))) != join(a,meet(Y,b))
    | meet(join(a,meet(Y,b)),b) = join(a,meet(Y,b)) ),
    inference(resolve,[$cnf( $equal(join(b,meet(Y,b)),b) )],[refute_0_1545,refute_0_1546]) ).

cnf(refute_0_1548,plain,
    meet(join(a,meet(Y,b)),b) = join(a,meet(Y,b)),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(Y,b)),join(b,meet(Y,b))),join(a,meet(Y,b))) )],[refute_0_1544,refute_0_1547]) ).

cnf(refute_0_1549,plain,
    meet(b,meet(Y,b)) = meet(b,Y),
    inference(subst,[],[refute_0_49:[bind(X_10,$fot(b)),bind(X_15,$fot(Y))]]) ).

cnf(refute_0_1550,plain,
    join(a,meet(b,meet(Y,b))) = join(a,meet(b,meet(Y,b))),
    introduced(tautology,[refl,[$fot(join(a,meet(b,meet(Y,b))))]]) ).

cnf(refute_0_1551,plain,
    ( join(a,meet(b,meet(Y,b))) != join(a,meet(b,meet(Y,b)))
    | meet(b,meet(Y,b)) != meet(b,Y)
    | join(a,meet(b,meet(Y,b))) = join(a,meet(b,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(a,meet(b,meet(Y,b))),join(a,meet(b,meet(Y,b)))) ),[1,1],$fot(meet(b,Y))]]) ).

cnf(refute_0_1552,plain,
    ( meet(b,meet(Y,b)) != meet(b,Y)
    | join(a,meet(b,meet(Y,b))) = join(a,meet(b,Y)) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(Y,b))),join(a,meet(b,meet(Y,b)))) )],[refute_0_1550,refute_0_1551]) ).

cnf(refute_0_1553,plain,
    join(a,meet(b,meet(Y,b))) = join(a,meet(b,Y)),
    inference(resolve,[$cnf( $equal(meet(b,meet(Y,b)),meet(b,Y)) )],[refute_0_1549,refute_0_1552]) ).

cnf(refute_0_1554,plain,
    join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = meet(b,join(meet(b,Y),join(meet(b,complement(meet(b,complement(a)))),meet(Y,join(b,complement(meet(b,complement(a)))))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(b)),bind(Z,$fot(complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_1555,plain,
    ( join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) != meet(b,join(meet(b,Y),join(meet(b,complement(meet(b,complement(a)))),meet(Y,join(b,complement(meet(b,complement(a))))))))
    | meet(b,complement(meet(b,complement(a)))) != a
    | join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,Y),meet(b,complement(meet(b,complement(a))))),meet(b,join(meet(b,Y),join(meet(b,complement(meet(b,complement(a)))),meet(Y,join(b,complement(meet(b,complement(a))))))))) ),[1,1,1,0],$fot(a)]]) ).

cnf(refute_0_1556,plain,
    ( join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) != meet(b,join(meet(b,Y),join(meet(b,complement(meet(b,complement(a)))),meet(Y,join(b,complement(meet(b,complement(a))))))))
    | join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(meet(b,complement(meet(b,complement(a)))),a) )],[refute_0_1506,refute_0_1555]) ).

cnf(refute_0_1557,plain,
    join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),meet(b,complement(meet(b,complement(a))))),meet(b,join(meet(b,Y),join(meet(b,complement(meet(b,complement(a)))),meet(Y,join(b,complement(meet(b,complement(a))))))))) )],[refute_0_1554,refute_0_1556]) ).

cnf(refute_0_1558,plain,
    join(meet(b,Y),a) = join(a,meet(b,Y)),
    inference(subst,[],[refute_0_115:[bind(X,$fot(a)),bind(Y,$fot(meet(b,Y)))]]) ).

cnf(refute_0_1559,plain,
    join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = join(meet(b,Y),meet(b,complement(meet(b,complement(a))))),
    introduced(tautology,[refl,[$fot(join(meet(b,Y),meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1560,plain,
    ( join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) != join(meet(b,Y),meet(b,complement(meet(b,complement(a)))))
    | meet(b,complement(meet(b,complement(a)))) != a
    | join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = join(meet(b,Y),a) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,Y),meet(b,complement(meet(b,complement(a))))),join(meet(b,Y),meet(b,complement(meet(b,complement(a)))))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_1561,plain,
    ( meet(b,complement(meet(b,complement(a)))) != a
    | join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = join(meet(b,Y),a) ),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),meet(b,complement(meet(b,complement(a))))),join(meet(b,Y),meet(b,complement(meet(b,complement(a)))))) )],[refute_0_1559,refute_0_1560]) ).

cnf(refute_0_1562,plain,
    join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = join(meet(b,Y),a),
    inference(resolve,[$cnf( $equal(meet(b,complement(meet(b,complement(a)))),a) )],[refute_0_1506,refute_0_1561]) ).

cnf(refute_0_1563,plain,
    ( join(meet(b,Y),a) != join(a,meet(b,Y))
    | join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) != join(meet(b,Y),a)
    | join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = join(a,meet(b,Y)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,Y),meet(b,complement(meet(b,complement(a))))))),bind(Y0,$fot(join(meet(b,Y),a))),bind(Z0,$fot(join(a,meet(b,Y))))]]) ).

cnf(refute_0_1564,plain,
    ( join(meet(b,Y),a) != join(a,meet(b,Y))
    | join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = join(a,meet(b,Y)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),meet(b,complement(meet(b,complement(a))))),join(meet(b,Y),a)) )],[refute_0_1562,refute_0_1563]) ).

cnf(refute_0_1565,plain,
    join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) = join(a,meet(b,Y)),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),a),join(a,meet(b,Y))) )],[refute_0_1558,refute_0_1564]) ).

cnf(refute_0_1566,plain,
    ( join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) != join(a,meet(b,Y))
    | join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) != meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))
    | join(a,meet(b,Y)) = meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,Y),meet(b,complement(meet(b,complement(a))))),meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))) ),[0],$fot(join(a,meet(b,Y)))]]) ).

cnf(refute_0_1567,plain,
    ( join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) != meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))
    | join(a,meet(b,Y)) = meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),meet(b,complement(meet(b,complement(a))))),join(a,meet(b,Y))) )],[refute_0_1565,refute_0_1566]) ).

cnf(refute_0_1568,plain,
    join(Y,meet(b,Y)) = Y,
    inference(subst,[],[refute_0_2:[bind(X,$fot(Y)),bind(Y,$fot(b))]]) ).

cnf(refute_0_1569,plain,
    join(meet(b,Y),Y) = join(Y,meet(b,Y)),
    inference(subst,[],[refute_0_115:[bind(X,$fot(Y)),bind(Y,$fot(meet(b,Y)))]]) ).

cnf(refute_0_1570,plain,
    ( join(Y,meet(b,Y)) != Y
    | join(meet(b,Y),Y) != join(Y,meet(b,Y))
    | join(meet(b,Y),Y) = Y ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,Y),Y))),bind(Y0,$fot(join(Y,meet(b,Y)))),bind(Z0,$fot(Y))]]) ).

cnf(refute_0_1571,plain,
    ( join(Y,meet(b,Y)) != Y
    | join(meet(b,Y),Y) = Y ),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),Y),join(Y,meet(b,Y))) )],[refute_0_1569,refute_0_1570]) ).

cnf(refute_0_1572,plain,
    join(meet(b,Y),Y) = Y,
    inference(resolve,[$cnf( $equal(join(Y,meet(b,Y)),Y) )],[refute_0_1568,refute_0_1571]) ).

cnf(refute_0_1573,plain,
    meet(Y,one) = Y,
    inference(subst,[],[refute_0_141:[bind(X_9,$fot(Y))]]) ).

cnf(refute_0_1574,plain,
    join(X_113,complement(meet(X_112,X_113))) = join(X_113,join(meet(X_112,X_113),complement(meet(X_112,X_113)))),
    inference(subst,[],[refute_0_559:[bind(Y,$fot(X_112)),bind(X_31,$fot(X_113)),bind(X_33,$fot(complement(meet(X_112,X_113))))]]) ).

cnf(refute_0_1575,plain,
    join(meet(X_112,X_113),complement(meet(X_112,X_113))) = one,
    inference(subst,[],[complement_join:[bind(X,$fot(meet(X_112,X_113)))]]) ).

cnf(refute_0_1576,plain,
    ( join(X_113,complement(meet(X_112,X_113))) != join(X_113,join(meet(X_112,X_113),complement(meet(X_112,X_113))))
    | join(meet(X_112,X_113),complement(meet(X_112,X_113))) != one
    | join(X_113,complement(meet(X_112,X_113))) = join(X_113,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_113,complement(meet(X_112,X_113))),join(X_113,join(meet(X_112,X_113),complement(meet(X_112,X_113))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1577,plain,
    ( join(X_113,complement(meet(X_112,X_113))) != join(X_113,join(meet(X_112,X_113),complement(meet(X_112,X_113))))
    | join(X_113,complement(meet(X_112,X_113))) = join(X_113,one) ),
    inference(resolve,[$cnf( $equal(join(meet(X_112,X_113),complement(meet(X_112,X_113))),one) )],[refute_0_1575,refute_0_1576]) ).

cnf(refute_0_1578,plain,
    join(X_113,complement(meet(X_112,X_113))) = join(X_113,one),
    inference(resolve,[$cnf( $equal(join(X_113,complement(meet(X_112,X_113))),join(X_113,join(meet(X_112,X_113),complement(meet(X_112,X_113))))) )],[refute_0_1574,refute_0_1577]) ).

cnf(refute_0_1579,plain,
    meet(one,join(X_10,one)) = one,
    inference(subst,[],[refute_0_40:[bind(X_9,$fot(one))]]) ).

cnf(refute_0_1580,plain,
    meet(one,join(X_10,one)) = join(X_10,one),
    inference(subst,[],[refute_0_145:[bind(X_9,$fot(join(X_10,one)))]]) ).

cnf(refute_0_1581,plain,
    ( meet(one,join(X_10,one)) != join(X_10,one)
    | meet(one,join(X_10,one)) != one
    | join(X_10,one) = one ),
    introduced(tautology,[equality,[$cnf( $equal(meet(one,join(X_10,one)),one) ),[0],$fot(join(X_10,one))]]) ).

cnf(refute_0_1582,plain,
    ( meet(one,join(X_10,one)) != one
    | join(X_10,one) = one ),
    inference(resolve,[$cnf( $equal(meet(one,join(X_10,one)),join(X_10,one)) )],[refute_0_1580,refute_0_1581]) ).

cnf(refute_0_1583,plain,
    join(X_10,one) = one,
    inference(resolve,[$cnf( $equal(meet(one,join(X_10,one)),one) )],[refute_0_1579,refute_0_1582]) ).

cnf(refute_0_1584,plain,
    join(X_113,one) = one,
    inference(subst,[],[refute_0_1583:[bind(X_10,$fot(X_113))]]) ).

cnf(refute_0_1585,plain,
    ( join(X_113,complement(meet(X_112,X_113))) != join(X_113,one)
    | join(X_113,one) != one
    | join(X_113,complement(meet(X_112,X_113))) = one ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_113,complement(meet(X_112,X_113))),one) ),[0],$fot(join(X_113,one))]]) ).

cnf(refute_0_1586,plain,
    ( join(X_113,complement(meet(X_112,X_113))) != join(X_113,one)
    | join(X_113,complement(meet(X_112,X_113))) = one ),
    inference(resolve,[$cnf( $equal(join(X_113,one),one) )],[refute_0_1584,refute_0_1585]) ).

cnf(refute_0_1587,plain,
    join(X_113,complement(meet(X_112,X_113))) = one,
    inference(resolve,[$cnf( $equal(join(X_113,complement(meet(X_112,X_113))),join(X_113,one)) )],[refute_0_1578,refute_0_1586]) ).

cnf(refute_0_1588,plain,
    join(X_116,complement(meet(X_115,X_116))) = one,
    inference(subst,[],[refute_0_1587:[bind(X_112,$fot(X_115)),bind(X_113,$fot(X_116))]]) ).

cnf(refute_0_1589,plain,
    meet(X_116,X_115) = meet(X_115,X_116),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_116)),bind(Y,$fot(X_115))]]) ).

cnf(refute_0_1590,plain,
    ( meet(X_116,X_115) != meet(X_115,X_116)
    | meet(X_115,X_116) = meet(X_116,X_115) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_116,X_115))),bind(Y0,$fot(meet(X_115,X_116)))]]) ).

cnf(refute_0_1591,plain,
    meet(X_115,X_116) = meet(X_116,X_115),
    inference(resolve,[$cnf( $equal(meet(X_116,X_115),meet(X_115,X_116)) )],[refute_0_1589,refute_0_1590]) ).

cnf(refute_0_1592,plain,
    ( join(X_116,complement(meet(X_115,X_116))) != one
    | meet(X_115,X_116) != meet(X_116,X_115)
    | join(X_116,complement(meet(X_116,X_115))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_116,complement(meet(X_115,X_116))),one) ),[0,1,0],$fot(meet(X_116,X_115))]]) ).

cnf(refute_0_1593,plain,
    ( join(X_116,complement(meet(X_115,X_116))) != one
    | join(X_116,complement(meet(X_116,X_115))) = one ),
    inference(resolve,[$cnf( $equal(meet(X_115,X_116),meet(X_116,X_115)) )],[refute_0_1591,refute_0_1592]) ).

cnf(refute_0_1594,plain,
    join(X_116,complement(meet(X_116,X_115))) = one,
    inference(resolve,[$cnf( $equal(join(X_116,complement(meet(X_115,X_116))),one) )],[refute_0_1588,refute_0_1593]) ).

cnf(refute_0_1595,plain,
    join(b,complement(meet(b,complement(a)))) = one,
    inference(subst,[],[refute_0_1594:[bind(X_115,$fot(complement(a))),bind(X_116,$fot(b))]]) ).

cnf(refute_0_1596,plain,
    meet(Y,join(b,complement(meet(b,complement(a))))) = meet(Y,join(b,complement(meet(b,complement(a))))),
    introduced(tautology,[refl,[$fot(meet(Y,join(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_1597,plain,
    ( join(b,complement(meet(b,complement(a)))) != one
    | meet(Y,join(b,complement(meet(b,complement(a))))) != meet(Y,join(b,complement(meet(b,complement(a)))))
    | meet(Y,join(b,complement(meet(b,complement(a))))) = meet(Y,one) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(Y,join(b,complement(meet(b,complement(a))))),meet(Y,join(b,complement(meet(b,complement(a)))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1598,plain,
    ( join(b,complement(meet(b,complement(a)))) != one
    | meet(Y,join(b,complement(meet(b,complement(a))))) = meet(Y,one) ),
    inference(resolve,[$cnf( $equal(meet(Y,join(b,complement(meet(b,complement(a))))),meet(Y,join(b,complement(meet(b,complement(a)))))) )],[refute_0_1596,refute_0_1597]) ).

cnf(refute_0_1599,plain,
    meet(Y,join(b,complement(meet(b,complement(a))))) = meet(Y,one),
    inference(resolve,[$cnf( $equal(join(b,complement(meet(b,complement(a)))),one) )],[refute_0_1595,refute_0_1598]) ).

cnf(refute_0_1600,plain,
    ( meet(Y,join(b,complement(meet(b,complement(a))))) != meet(Y,one)
    | meet(Y,one) != Y
    | meet(Y,join(b,complement(meet(b,complement(a))))) = Y ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(Y,join(b,complement(meet(b,complement(a))))))),bind(Y0,$fot(meet(Y,one))),bind(Z0,$fot(Y))]]) ).

cnf(refute_0_1601,plain,
    ( meet(Y,one) != Y
    | meet(Y,join(b,complement(meet(b,complement(a))))) = Y ),
    inference(resolve,[$cnf( $equal(meet(Y,join(b,complement(meet(b,complement(a))))),meet(Y,one)) )],[refute_0_1599,refute_0_1600]) ).

cnf(refute_0_1602,plain,
    meet(Y,join(b,complement(meet(b,complement(a))))) = Y,
    inference(resolve,[$cnf( $equal(meet(Y,one),Y) )],[refute_0_1573,refute_0_1601]) ).

cnf(refute_0_1603,plain,
    join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) = join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))),
    introduced(tautology,[refl,[$fot(join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))))]]) ).

cnf(refute_0_1604,plain,
    ( join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) != join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))
    | meet(Y,join(b,complement(meet(b,complement(a))))) != Y
    | join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) = join(meet(b,Y),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))),join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))) ),[1,1],$fot(Y)]]) ).

cnf(refute_0_1605,plain,
    ( meet(Y,join(b,complement(meet(b,complement(a))))) != Y
    | join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) = join(meet(b,Y),Y) ),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))),join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))) )],[refute_0_1603,refute_0_1604]) ).

cnf(refute_0_1606,plain,
    join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) = join(meet(b,Y),Y),
    inference(resolve,[$cnf( $equal(meet(Y,join(b,complement(meet(b,complement(a))))),Y) )],[refute_0_1602,refute_0_1605]) ).

cnf(refute_0_1607,plain,
    ( join(meet(b,Y),Y) != Y
    | join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) != join(meet(b,Y),Y)
    | join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) = Y ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))))),bind(Y0,$fot(join(meet(b,Y),Y))),bind(Z0,$fot(Y))]]) ).

cnf(refute_0_1608,plain,
    ( join(meet(b,Y),Y) != Y
    | join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) = Y ),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))),join(meet(b,Y),Y)) )],[refute_0_1606,refute_0_1607]) ).

cnf(refute_0_1609,plain,
    join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) = Y,
    inference(resolve,[$cnf( $equal(join(meet(b,Y),Y),Y) )],[refute_0_1572,refute_0_1608]) ).

cnf(refute_0_1610,plain,
    join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))) = join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))),
    introduced(tautology,[refl,[$fot(join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))))]]) ).

cnf(refute_0_1611,plain,
    ( join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))) != join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))))
    | join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) != Y
    | join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))) = join(a,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))),join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))))) ),[1,1],$fot(Y)]]) ).

cnf(refute_0_1612,plain,
    ( join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))) != Y
    | join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))) = join(a,Y) ),
    inference(resolve,[$cnf( $equal(join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))),join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))))) )],[refute_0_1610,refute_0_1611]) ).

cnf(refute_0_1613,plain,
    join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))) = join(a,Y),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))),Y) )],[refute_0_1609,refute_0_1612]) ).

cnf(refute_0_1614,plain,
    join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))) = join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))),
    inference(subst,[],[refute_0_1231:[bind(X_64,$fot(a)),bind(X_65,$fot(meet(b,Y))),bind(X_66,$fot(meet(Y,join(b,complement(meet(b,complement(a)))))))]]) ).

cnf(refute_0_1615,plain,
    ( join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))) != join(a,Y)
    | join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))) != join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))))
    | join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))) = join(a,Y) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))),bind(Y0,$fot(join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))))),bind(Z0,$fot(join(a,Y)))]]) ).

cnf(refute_0_1616,plain,
    ( join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))) != join(a,Y)
    | join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))) = join(a,Y) ),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))),join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a)))))))) )],[refute_0_1614,refute_0_1615]) ).

cnf(refute_0_1617,plain,
    join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))) = join(a,Y),
    inference(resolve,[$cnf( $equal(join(a,join(meet(b,Y),meet(Y,join(b,complement(meet(b,complement(a))))))),join(a,Y)) )],[refute_0_1613,refute_0_1616]) ).

cnf(refute_0_1618,plain,
    meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))) = meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))),
    introduced(tautology,[refl,[$fot(meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))))]]) ).

cnf(refute_0_1619,plain,
    ( join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))) != join(a,Y)
    | meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))) != meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))
    | meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))) = meet(b,join(a,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))),meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))) ),[1,1],$fot(join(a,Y))]]) ).

cnf(refute_0_1620,plain,
    ( join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))) != join(a,Y)
    | meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))) = meet(b,join(a,Y)) ),
    inference(resolve,[$cnf( $equal(meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))),meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))) )],[refute_0_1618,refute_0_1619]) ).

cnf(refute_0_1621,plain,
    meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))) = meet(b,join(a,Y)),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))),join(a,Y)) )],[refute_0_1617,refute_0_1620]) ).

cnf(refute_0_1622,plain,
    ( join(a,meet(b,Y)) != meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))
    | meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))) != meet(b,join(a,Y))
    | join(a,meet(b,Y)) = meet(b,join(a,Y)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(a,meet(b,Y)),meet(b,join(a,Y))) ),[0],$fot(meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))))]]) ).

cnf(refute_0_1623,plain,
    ( join(a,meet(b,Y)) != meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))
    | join(a,meet(b,Y)) = meet(b,join(a,Y)) ),
    inference(resolve,[$cnf( $equal(meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a)))))))),meet(b,join(a,Y))) )],[refute_0_1621,refute_0_1622]) ).

cnf(refute_0_1624,plain,
    ( join(meet(b,Y),meet(b,complement(meet(b,complement(a))))) != meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))
    | join(a,meet(b,Y)) = meet(b,join(a,Y)) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,Y)),meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))) )],[refute_0_1567,refute_0_1623]) ).

cnf(refute_0_1625,plain,
    join(a,meet(b,Y)) = meet(b,join(a,Y)),
    inference(resolve,[$cnf( $equal(join(meet(b,Y),meet(b,complement(meet(b,complement(a))))),meet(b,join(meet(b,Y),join(a,meet(Y,join(b,complement(meet(b,complement(a))))))))) )],[refute_0_1557,refute_0_1624]) ).

cnf(refute_0_1626,plain,
    ( join(a,meet(b,Y)) != meet(b,join(a,Y))
    | meet(b,join(a,Y)) = join(a,meet(b,Y)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(a,meet(b,Y)))),bind(Y0,$fot(meet(b,join(a,Y))))]]) ).

cnf(refute_0_1627,plain,
    meet(b,join(a,Y)) = join(a,meet(b,Y)),
    inference(resolve,[$cnf( $equal(join(a,meet(b,Y)),meet(b,join(a,Y))) )],[refute_0_1625,refute_0_1626]) ).

cnf(refute_0_1628,plain,
    meet(b,join(a,meet(Y,b))) = join(a,meet(b,meet(Y,b))),
    inference(subst,[],[refute_0_1627:[bind(Y,$fot(meet(Y,b)))]]) ).

cnf(refute_0_1629,plain,
    meet(join(a,meet(Y,b)),b) = meet(b,join(a,meet(Y,b))),
    inference(subst,[],[refute_0_106:[bind(X,$fot(b)),bind(Y,$fot(join(a,meet(Y,b))))]]) ).

cnf(refute_0_1630,plain,
    ( meet(b,join(a,meet(Y,b))) != join(a,meet(b,meet(Y,b)))
    | meet(join(a,meet(Y,b)),b) != meet(b,join(a,meet(Y,b)))
    | meet(join(a,meet(Y,b)),b) = join(a,meet(b,meet(Y,b))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(a,meet(Y,b)),b))),bind(Y0,$fot(meet(b,join(a,meet(Y,b))))),bind(Z0,$fot(join(a,meet(b,meet(Y,b)))))]]) ).

cnf(refute_0_1631,plain,
    ( meet(b,join(a,meet(Y,b))) != join(a,meet(b,meet(Y,b)))
    | meet(join(a,meet(Y,b)),b) = join(a,meet(b,meet(Y,b))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(Y,b)),b),meet(b,join(a,meet(Y,b)))) )],[refute_0_1629,refute_0_1630]) ).

cnf(refute_0_1632,plain,
    meet(join(a,meet(Y,b)),b) = join(a,meet(b,meet(Y,b))),
    inference(resolve,[$cnf( $equal(meet(b,join(a,meet(Y,b))),join(a,meet(b,meet(Y,b)))) )],[refute_0_1628,refute_0_1631]) ).

cnf(refute_0_1633,plain,
    ( join(a,meet(b,meet(Y,b))) != join(a,meet(b,Y))
    | meet(join(a,meet(Y,b)),b) != join(a,meet(b,meet(Y,b)))
    | meet(join(a,meet(Y,b)),b) = join(a,meet(b,Y)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(a,meet(Y,b)),b))),bind(Y0,$fot(join(a,meet(b,meet(Y,b))))),bind(Z0,$fot(join(a,meet(b,Y))))]]) ).

cnf(refute_0_1634,plain,
    ( join(a,meet(b,meet(Y,b))) != join(a,meet(b,Y))
    | meet(join(a,meet(Y,b)),b) = join(a,meet(b,Y)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(Y,b)),b),join(a,meet(b,meet(Y,b)))) )],[refute_0_1632,refute_0_1633]) ).

cnf(refute_0_1635,plain,
    meet(join(a,meet(Y,b)),b) = join(a,meet(b,Y)),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(Y,b))),join(a,meet(b,Y))) )],[refute_0_1553,refute_0_1634]) ).

cnf(refute_0_1636,plain,
    ( meet(join(a,meet(Y,b)),b) != join(a,meet(Y,b))
    | meet(join(a,meet(Y,b)),b) != join(a,meet(b,Y))
    | join(a,meet(b,Y)) = join(a,meet(Y,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,meet(Y,b)),b),join(a,meet(Y,b))) ),[0],$fot(join(a,meet(b,Y)))]]) ).

cnf(refute_0_1637,plain,
    ( meet(join(a,meet(Y,b)),b) != join(a,meet(Y,b))
    | join(a,meet(b,Y)) = join(a,meet(Y,b)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(Y,b)),b),join(a,meet(b,Y))) )],[refute_0_1635,refute_0_1636]) ).

cnf(refute_0_1638,plain,
    join(a,meet(b,Y)) = join(a,meet(Y,b)),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(Y,b)),b),join(a,meet(Y,b))) )],[refute_0_1548,refute_0_1637]) ).

cnf(refute_0_1639,plain,
    join(a,meet(b,X_256)) = join(a,meet(X_256,b)),
    inference(subst,[],[refute_0_1638:[bind(Y,$fot(X_256))]]) ).

cnf(refute_0_1640,plain,
    ( join(a,meet(b,X_256)) != join(a,meet(X_256,b))
    | join(a,meet(X_256,b)) = join(a,meet(b,X_256)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(a,meet(b,X_256)))),bind(Y0,$fot(join(a,meet(X_256,b))))]]) ).

cnf(refute_0_1641,plain,
    join(a,meet(X_256,b)) = join(a,meet(b,X_256)),
    inference(resolve,[$cnf( $equal(join(a,meet(b,X_256)),join(a,meet(X_256,b))) )],[refute_0_1639,refute_0_1640]) ).

cnf(refute_0_1642,plain,
    ( join(a,meet(X_256,b)) != join(a,meet(b,X_256))
    | meet(meet(X_256,b),complement(join(a,meet(X_256,b)))) != zero
    | meet(meet(X_256,b),complement(join(a,meet(b,X_256)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_256,b),complement(join(a,meet(X_256,b)))),zero) ),[0,1,0],$fot(join(a,meet(b,X_256)))]]) ).

cnf(refute_0_1643,plain,
    ( meet(meet(X_256,b),complement(join(a,meet(X_256,b)))) != zero
    | meet(meet(X_256,b),complement(join(a,meet(b,X_256)))) = zero ),
    inference(resolve,[$cnf( $equal(join(a,meet(X_256,b)),join(a,meet(b,X_256))) )],[refute_0_1641,refute_0_1642]) ).

cnf(refute_0_1644,plain,
    meet(meet(X_256,b),complement(join(a,meet(b,X_256)))) = zero,
    inference(resolve,[$cnf( $equal(meet(meet(X_256,b),complement(join(a,meet(X_256,b)))),zero) )],[refute_0_1536,refute_0_1643]) ).

cnf(refute_0_1645,plain,
    meet(meet(X_256,b),complement(join(a,meet(b,X_256)))) = meet(X_256,meet(b,complement(join(a,meet(b,X_256))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_256)),bind(Y,$fot(b)),bind(Z,$fot(complement(join(a,meet(b,X_256)))))]]) ).

cnf(refute_0_1646,plain,
    ( meet(meet(X_256,b),complement(join(a,meet(b,X_256)))) != meet(X_256,meet(b,complement(join(a,meet(b,X_256)))))
    | meet(meet(X_256,b),complement(join(a,meet(b,X_256)))) != zero
    | meet(X_256,meet(b,complement(join(a,meet(b,X_256))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_256,b),complement(join(a,meet(b,X_256)))),zero) ),[0],$fot(meet(X_256,meet(b,complement(join(a,meet(b,X_256))))))]]) ).

cnf(refute_0_1647,plain,
    ( meet(meet(X_256,b),complement(join(a,meet(b,X_256)))) != zero
    | meet(X_256,meet(b,complement(join(a,meet(b,X_256))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(meet(X_256,b),complement(join(a,meet(b,X_256)))),meet(X_256,meet(b,complement(join(a,meet(b,X_256)))))) )],[refute_0_1645,refute_0_1646]) ).

cnf(refute_0_1648,plain,
    meet(X_256,meet(b,complement(join(a,meet(b,X_256))))) = zero,
    inference(resolve,[$cnf( $equal(meet(meet(X_256,b),complement(join(a,meet(b,X_256)))),zero) )],[refute_0_1644,refute_0_1647]) ).

cnf(refute_0_1649,plain,
    meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_288,X_289)))))) = zero,
    inference(subst,[],[refute_0_1648:[bind(X_256,$fot(meet(X_288,X_289)))]]) ).

cnf(refute_0_1650,plain,
    meet(b,meet(X_288,X_289)) = meet(b,meet(X_289,X_288)),
    inference(subst,[],[refute_0_415:[bind(X_43,$fot(b)),bind(X_44,$fot(X_288)),bind(X_45,$fot(X_289))]]) ).

cnf(refute_0_1651,plain,
    ( meet(b,meet(X_288,X_289)) != meet(b,meet(X_289,X_288))
    | meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_288,X_289)))))) != zero
    | meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_288,X_289)))))),zero) ),[0,1,1,0,1],$fot(meet(b,meet(X_289,X_288)))]]) ).

cnf(refute_0_1652,plain,
    ( meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_288,X_289)))))) != zero
    | meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_288,X_289)),meet(b,meet(X_289,X_288))) )],[refute_0_1650,refute_0_1651]) ).

cnf(refute_0_1653,plain,
    meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) = zero,
    inference(resolve,[$cnf( $equal(meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_288,X_289)))))),zero) )],[refute_0_1649,refute_0_1652]) ).

cnf(refute_0_1654,plain,
    meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288))))) = meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288)))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_288)),bind(Y,$fot(X_289)),bind(Z,$fot(complement(join(a,meet(b,meet(X_289,X_288))))))]]) ).

cnf(refute_0_1655,plain,
    meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))) = meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))),
    introduced(tautology,[refl,[$fot(meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))))]]) ).

cnf(refute_0_1656,plain,
    ( meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))) != meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288))))))
    | meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288))))) != meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))
    | meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))) = meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))),meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288))))))) ),[1,1],$fot(meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288)))))))]]) ).

cnf(refute_0_1657,plain,
    ( meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288))))) != meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))
    | meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))) = meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))),meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288))))))) )],[refute_0_1655,refute_0_1656]) ).

cnf(refute_0_1658,plain,
    meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))) = meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))),
    inference(resolve,[$cnf( $equal(meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288))))),meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))) )],[refute_0_1654,refute_0_1657]) ).

cnf(refute_0_1659,plain,
    meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) = meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))),
    inference(subst,[],[refute_0_360:[bind(X_15,$fot(complement(join(a,meet(b,meet(X_289,X_288)))))),bind(X_74,$fot(meet(X_288,X_289))),bind(X_75,$fot(b))]]) ).

cnf(refute_0_1660,plain,
    ( meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))) != meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288)))))))
    | meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) != meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288))))))
    | meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) = meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))))),bind(Y0,$fot(meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))))),bind(Z0,$fot(meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288)))))))))]]) ).

cnf(refute_0_1661,plain,
    ( meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))) != meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288)))))))
    | meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) = meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))),meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288))))))) )],[refute_0_1659,refute_0_1660]) ).

cnf(refute_0_1662,plain,
    meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) = meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(X_288,X_289),complement(join(a,meet(b,meet(X_289,X_288)))))),meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288)))))))) )],[refute_0_1658,refute_0_1661]) ).

cnf(refute_0_1663,plain,
    ( meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) != meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288)))))))
    | meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) != zero
    | meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))),zero) ),[0],$fot(meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))))]]) ).

cnf(refute_0_1664,plain,
    ( meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))) != zero
    | meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))),meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288)))))))) )],[refute_0_1662,refute_0_1663]) ).

cnf(refute_0_1665,plain,
    meet(b,meet(X_288,meet(X_289,complement(join(a,meet(b,meet(X_289,X_288))))))) = zero,
    inference(resolve,[$cnf( $equal(meet(meet(X_288,X_289),meet(b,complement(join(a,meet(b,meet(X_289,X_288)))))),zero) )],[refute_0_1653,refute_0_1664]) ).

cnf(refute_0_1666,plain,
    meet(b,meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))) = zero,
    inference(subst,[],[refute_0_1665:[bind(X_288,$fot(join(a,X_744))),bind(X_289,$fot(join(b,X_744)))]]) ).

cnf(refute_0_1667,plain,
    meet(X,meet(join(a,X_255),join(b,X_255))) = meet(join(a,X_255),meet(join(b,X_255),X)),
    inference(subst,[],[refute_0_59:[bind(X_43,$fot(join(a,X_255))),bind(X_44,$fot(join(b,X_255)))]]) ).

cnf(refute_0_1668,plain,
    meet(join(a,X_255),join(b,X_255)) = join(a,X_255),
    inference(subst,[],[refute_0_1543:[bind(X_218,$fot(X_255))]]) ).

cnf(refute_0_1669,plain,
    ( meet(X,meet(join(a,X_255),join(b,X_255))) != meet(join(a,X_255),meet(join(b,X_255),X))
    | meet(join(a,X_255),join(b,X_255)) != join(a,X_255)
    | meet(X,join(a,X_255)) = meet(join(a,X_255),meet(join(b,X_255),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(join(a,X_255),join(b,X_255))),meet(join(a,X_255),meet(join(b,X_255),X))) ),[0,1],$fot(join(a,X_255))]]) ).

cnf(refute_0_1670,plain,
    ( meet(X,meet(join(a,X_255),join(b,X_255))) != meet(join(a,X_255),meet(join(b,X_255),X))
    | meet(X,join(a,X_255)) = meet(join(a,X_255),meet(join(b,X_255),X)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_255),join(b,X_255)),join(a,X_255)) )],[refute_0_1668,refute_0_1669]) ).

cnf(refute_0_1671,plain,
    meet(X,join(a,X_255)) = meet(join(a,X_255),meet(join(b,X_255),X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(join(a,X_255),join(b,X_255))),meet(join(a,X_255),meet(join(b,X_255),X))) )],[refute_0_1667,refute_0_1670]) ).

cnf(refute_0_1672,plain,
    meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744)) = meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))),
    inference(subst,[],[refute_0_1671:[bind(X,$fot(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))),bind(X_255,$fot(X_744))]]) ).

cnf(refute_0_1673,plain,
    ( meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744)) != meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))
    | meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) = meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744)))),bind(Y0,$fot(meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))))]]) ).

cnf(refute_0_1674,plain,
    meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) = meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744)),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744)),meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))) )],[refute_0_1672,refute_0_1673]) ).

cnf(refute_0_1675,plain,
    ( meet(b,meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))) != zero
    | meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) != meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))
    | meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))),zero) ),[0,1],$fot(meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744)))]]) ).

cnf(refute_0_1676,plain,
    ( meet(b,meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))) != zero
    | meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) = zero ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))),meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) )],[refute_0_1674,refute_0_1675]) ).

cnf(refute_0_1677,plain,
    meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) = zero,
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,X_744),meet(join(b,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))),zero) )],[refute_0_1666,refute_0_1676]) ).

cnf(refute_0_1678,plain,
    join(a,join(a,meet(b,X_744))) = join(a,meet(b,X_744)),
    inference(subst,[],[refute_0_230:[bind(X_32,$fot(a)),bind(X_33,$fot(meet(b,X_744)))]]) ).

cnf(refute_0_1679,plain,
    meet(b,join(a,X_744)) = join(a,meet(b,X_744)),
    inference(subst,[],[refute_0_1627:[bind(Y,$fot(X_744))]]) ).

cnf(refute_0_1680,plain,
    meet(X,meet(X_43,join(a,meet(X_43,b)))) = meet(X_43,meet(join(a,meet(X_43,b)),X)),
    inference(subst,[],[refute_0_59:[bind(X_44,$fot(join(a,meet(X_43,b))))]]) ).

cnf(refute_0_1681,plain,
    meet(X_43,b) = meet(X_43,join(a,meet(X_43,b))),
    inference(subst,[],[refute_0_580:[bind(X_157,$fot(X_43))]]) ).

cnf(refute_0_1682,plain,
    ( meet(X_43,b) != meet(X_43,join(a,meet(X_43,b)))
    | meet(X_43,join(a,meet(X_43,b))) = meet(X_43,b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_43,b))),bind(Y0,$fot(meet(X_43,join(a,meet(X_43,b)))))]]) ).

cnf(refute_0_1683,plain,
    meet(X_43,join(a,meet(X_43,b))) = meet(X_43,b),
    inference(resolve,[$cnf( $equal(meet(X_43,b),meet(X_43,join(a,meet(X_43,b)))) )],[refute_0_1681,refute_0_1682]) ).

cnf(refute_0_1684,plain,
    ( meet(X,meet(X_43,join(a,meet(X_43,b)))) != meet(X_43,meet(join(a,meet(X_43,b)),X))
    | meet(X_43,join(a,meet(X_43,b))) != meet(X_43,b)
    | meet(X,meet(X_43,b)) = meet(X_43,meet(join(a,meet(X_43,b)),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(X_43,join(a,meet(X_43,b)))),meet(X_43,meet(join(a,meet(X_43,b)),X))) ),[0,1],$fot(meet(X_43,b))]]) ).

cnf(refute_0_1685,plain,
    ( meet(X,meet(X_43,join(a,meet(X_43,b)))) != meet(X_43,meet(join(a,meet(X_43,b)),X))
    | meet(X,meet(X_43,b)) = meet(X_43,meet(join(a,meet(X_43,b)),X)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,join(a,meet(X_43,b))),meet(X_43,b)) )],[refute_0_1683,refute_0_1684]) ).

cnf(refute_0_1686,plain,
    meet(X,meet(X_43,b)) = meet(X_43,meet(join(a,meet(X_43,b)),X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_43,join(a,meet(X_43,b)))),meet(X_43,meet(join(a,meet(X_43,b)),X))) )],[refute_0_1680,refute_0_1685]) ).

cnf(refute_0_1687,plain,
    meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(X_583,meet(join(a,meet(X_583,b)),join(X_31,join(X_32,join(a,meet(X_583,b)))))),
    inference(subst,[],[refute_0_1686:[bind(X,$fot(join(X_31,join(X_32,join(a,meet(X_583,b)))))),bind(X_43,$fot(X_583))]]) ).

cnf(refute_0_1688,plain,
    meet(join(a,meet(X_583,b)),join(X_31,join(X_32,join(a,meet(X_583,b))))) = join(a,meet(X_583,b)),
    inference(subst,[],[refute_0_1133:[bind(X_9,$fot(join(a,meet(X_583,b))))]]) ).

cnf(refute_0_1689,plain,
    ( meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(X_583,meet(join(a,meet(X_583,b)),join(X_31,join(X_32,join(a,meet(X_583,b))))))
    | meet(join(a,meet(X_583,b)),join(X_31,join(X_32,join(a,meet(X_583,b))))) != join(a,meet(X_583,b))
    | meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(X_583,join(a,meet(X_583,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)),meet(X_583,meet(join(a,meet(X_583,b)),join(X_31,join(X_32,join(a,meet(X_583,b))))))) ),[1,1],$fot(join(a,meet(X_583,b)))]]) ).

cnf(refute_0_1690,plain,
    ( meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(X_583,meet(join(a,meet(X_583,b)),join(X_31,join(X_32,join(a,meet(X_583,b))))))
    | meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(X_583,join(a,meet(X_583,b))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(X_583,b)),join(X_31,join(X_32,join(a,meet(X_583,b))))),join(a,meet(X_583,b))) )],[refute_0_1688,refute_0_1689]) ).

cnf(refute_0_1691,plain,
    meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(X_583,join(a,meet(X_583,b))),
    inference(resolve,[$cnf( $equal(meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)),meet(X_583,meet(join(a,meet(X_583,b)),join(X_31,join(X_32,join(a,meet(X_583,b))))))) )],[refute_0_1687,refute_0_1690]) ).

cnf(refute_0_1692,plain,
    meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))),
    inference(subst,[],[refute_0_844:[bind(Y,$fot(join(X_31,join(X_32,join(a,meet(X_583,b)))))),bind(X_304,$fot(X_583))]]) ).

cnf(refute_0_1693,plain,
    ( meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(X_583,join(a,meet(X_583,b)))
    | meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b))))))
    | meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) = meet(X_583,join(a,meet(X_583,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)),meet(X_583,join(a,meet(X_583,b)))) ),[0],$fot(meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))))]]) ).

cnf(refute_0_1694,plain,
    ( meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(X_583,join(a,meet(X_583,b)))
    | meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) = meet(X_583,join(a,meet(X_583,b))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)),meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b))))))) )],[refute_0_1692,refute_0_1693]) ).

cnf(refute_0_1695,plain,
    ( meet(X_157,b) != meet(X_157,join(a,meet(X_157,b)))
    | meet(X_157,join(a,meet(X_157,b))) = meet(X_157,b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_157,b))),bind(Y0,$fot(meet(X_157,join(a,meet(X_157,b)))))]]) ).

cnf(refute_0_1696,plain,
    meet(X_157,join(a,meet(X_157,b))) = meet(X_157,b),
    inference(resolve,[$cnf( $equal(meet(X_157,b),meet(X_157,join(a,meet(X_157,b)))) )],[refute_0_580,refute_0_1695]) ).

cnf(refute_0_1697,plain,
    meet(X_583,join(a,meet(X_583,b))) = meet(X_583,b),
    inference(subst,[],[refute_0_1696:[bind(X_157,$fot(X_583))]]) ).

cnf(refute_0_1698,plain,
    ( meet(X_583,join(a,meet(X_583,b))) != meet(X_583,b)
    | meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) != meet(X_583,join(a,meet(X_583,b)))
    | meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) = meet(X_583,b) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))),meet(X_583,join(a,meet(X_583,b)))) ),[1],$fot(meet(X_583,b))]]) ).

cnf(refute_0_1699,plain,
    ( meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) != meet(X_583,join(a,meet(X_583,b)))
    | meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) = meet(X_583,b) ),
    inference(resolve,[$cnf( $equal(meet(X_583,join(a,meet(X_583,b))),meet(X_583,b)) )],[refute_0_1697,refute_0_1698]) ).

cnf(refute_0_1700,plain,
    ( meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(X_583,join(a,meet(X_583,b)))
    | meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) = meet(X_583,b) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))),meet(X_583,join(a,meet(X_583,b)))) )],[refute_0_1694,refute_0_1699]) ).

cnf(refute_0_1701,plain,
    meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) = meet(X_583,b),
    inference(resolve,[$cnf( $equal(meet(join(X_31,join(X_32,join(a,meet(X_583,b)))),meet(X_583,b)),meet(X_583,join(a,meet(X_583,b)))) )],[refute_0_1691,refute_0_1700]) ).

cnf(refute_0_1702,plain,
    meet(X_198,join(X_196,join(join(X,Y),X_198))) = X_198,
    inference(subst,[],[refute_0_1133:[bind(X_31,$fot(X_196)),bind(X_32,$fot(join(X,Y))),bind(X_9,$fot(X_198))]]) ).

cnf(refute_0_1703,plain,
    join(join(X,Y),X_198) = join(X,join(Y,X_198)),
    inference(subst,[],[associativity_of_join:[bind(Z,$fot(X_198))]]) ).

cnf(refute_0_1704,plain,
    ( join(join(X,Y),X_198) != join(X,join(Y,X_198))
    | meet(X_198,join(X_196,join(join(X,Y),X_198))) != X_198
    | meet(X_198,join(X_196,join(X,join(Y,X_198)))) = X_198 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_198,join(X_196,join(join(X,Y),X_198))),X_198) ),[0,1,1],$fot(join(X,join(Y,X_198)))]]) ).

cnf(refute_0_1705,plain,
    ( meet(X_198,join(X_196,join(join(X,Y),X_198))) != X_198
    | meet(X_198,join(X_196,join(X,join(Y,X_198)))) = X_198 ),
    inference(resolve,[$cnf( $equal(join(join(X,Y),X_198),join(X,join(Y,X_198))) )],[refute_0_1703,refute_0_1704]) ).

cnf(refute_0_1706,plain,
    meet(X_198,join(X_196,join(X,join(Y,X_198)))) = X_198,
    inference(resolve,[$cnf( $equal(meet(X_198,join(X_196,join(join(X,Y),X_198))),X_198) )],[refute_0_1702,refute_0_1705]) ).

cnf(refute_0_1707,plain,
    meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(b,X_331))))) = meet(b,X_331),
    inference(subst,[],[refute_0_1706:[bind(X,$fot(X_647)),bind(Y,$fot(X_648)),bind(X_196,$fot(X_649)),bind(X_198,$fot(meet(b,X_331)))]]) ).

cnf(refute_0_1708,plain,
    join(X_648,meet(b,X_331)) = join(X_648,meet(X_331,b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(X_648))]]) ).

cnf(refute_0_1709,plain,
    ( join(X_648,meet(b,X_331)) != join(X_648,meet(X_331,b))
    | meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(b,X_331))))) != meet(b,X_331)
    | meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(X_331,b))))) = meet(b,X_331) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(b,X_331))))),meet(b,X_331)) ),[0,1,1,1],$fot(join(X_648,meet(X_331,b)))]]) ).

cnf(refute_0_1710,plain,
    ( meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(b,X_331))))) != meet(b,X_331)
    | meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(X_331,b))))) = meet(b,X_331) ),
    inference(resolve,[$cnf( $equal(join(X_648,meet(b,X_331)),join(X_648,meet(X_331,b))) )],[refute_0_1708,refute_0_1709]) ).

cnf(refute_0_1711,plain,
    meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(X_331,b))))) = meet(b,X_331),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(b,X_331))))),meet(b,X_331)) )],[refute_0_1707,refute_0_1710]) ).

cnf(refute_0_1712,plain,
    meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(X_331,b))))) = meet(b,meet(X_331,join(X_649,join(X_647,join(X_648,meet(X_331,b)))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(X_331)),bind(Z,$fot(join(X_649,join(X_647,join(X_648,meet(X_331,b))))))]]) ).

cnf(refute_0_1713,plain,
    ( meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(X_331,b))))) != meet(b,X_331)
    | meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(X_331,b))))) != meet(b,meet(X_331,join(X_649,join(X_647,join(X_648,meet(X_331,b))))))
    | meet(b,meet(X_331,join(X_649,join(X_647,join(X_648,meet(X_331,b)))))) = meet(b,X_331) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(X_331,b))))),meet(b,X_331)) ),[0],$fot(meet(b,meet(X_331,join(X_649,join(X_647,join(X_648,meet(X_331,b)))))))]]) ).

cnf(refute_0_1714,plain,
    ( meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(X_331,b))))) != meet(b,X_331)
    | meet(b,meet(X_331,join(X_649,join(X_647,join(X_648,meet(X_331,b)))))) = meet(b,X_331) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(X_331,b))))),meet(b,meet(X_331,join(X_649,join(X_647,join(X_648,meet(X_331,b))))))) )],[refute_0_1712,refute_0_1713]) ).

cnf(refute_0_1715,plain,
    meet(b,meet(X_331,join(X_649,join(X_647,join(X_648,meet(X_331,b)))))) = meet(b,X_331),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_331),join(X_649,join(X_647,join(X_648,meet(X_331,b))))),meet(b,X_331)) )],[refute_0_1711,refute_0_1714]) ).

cnf(refute_0_1716,plain,
    meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) = meet(b,X_583),
    inference(subst,[],[refute_0_1715:[bind(X_331,$fot(X_583)),bind(X_647,$fot(X_32)),bind(X_648,$fot(a)),bind(X_649,$fot(X_31))]]) ).

cnf(refute_0_1717,plain,
    ( meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) != meet(X_583,b)
    | meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) != meet(b,X_583)
    | meet(b,X_583) = meet(X_583,b) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))),meet(X_583,b)) ),[0],$fot(meet(b,X_583))]]) ).

cnf(refute_0_1718,plain,
    ( meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))) != meet(X_583,b)
    | meet(b,X_583) = meet(X_583,b) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))),meet(b,X_583)) )],[refute_0_1716,refute_0_1717]) ).

cnf(refute_0_1719,plain,
    meet(b,X_583) = meet(X_583,b),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_583,join(X_31,join(X_32,join(a,meet(X_583,b)))))),meet(X_583,b)) )],[refute_0_1701,refute_0_1718]) ).

cnf(refute_0_1720,plain,
    ( meet(b,X_583) != meet(X_583,b)
    | meet(X_583,b) = meet(b,X_583) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(b,X_583))),bind(Y0,$fot(meet(X_583,b)))]]) ).

cnf(refute_0_1721,plain,
    meet(X_583,b) = meet(b,X_583),
    inference(resolve,[$cnf( $equal(meet(b,X_583),meet(X_583,b)) )],[refute_0_1719,refute_0_1720]) ).

cnf(refute_0_1722,plain,
    meet(join(a,X_744),b) = meet(b,join(a,X_744)),
    inference(subst,[],[refute_0_1721:[bind(X_583,$fot(join(a,X_744)))]]) ).

cnf(refute_0_1723,plain,
    ( meet(b,join(a,X_744)) != join(a,meet(b,X_744))
    | meet(join(a,X_744),b) != meet(b,join(a,X_744))
    | meet(join(a,X_744),b) = join(a,meet(b,X_744)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(a,X_744),b))),bind(Y0,$fot(meet(b,join(a,X_744)))),bind(Z0,$fot(join(a,meet(b,X_744))))]]) ).

cnf(refute_0_1724,plain,
    ( meet(b,join(a,X_744)) != join(a,meet(b,X_744))
    | meet(join(a,X_744),b) = join(a,meet(b,X_744)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_744),b),meet(b,join(a,X_744))) )],[refute_0_1722,refute_0_1723]) ).

cnf(refute_0_1725,plain,
    meet(join(a,X_744),b) = join(a,meet(b,X_744)),
    inference(resolve,[$cnf( $equal(meet(b,join(a,X_744)),join(a,meet(b,X_744))) )],[refute_0_1679,refute_0_1724]) ).

cnf(refute_0_1726,plain,
    meet(join(X_75,Y),meet(X_74,X_75)) = meet(X_74,meet(X_75,join(X_75,Y))),
    inference(subst,[],[refute_0_59:[bind(X,$fot(join(X_75,Y))),bind(X_43,$fot(X_74)),bind(X_44,$fot(X_75))]]) ).

cnf(refute_0_1727,plain,
    meet(X_75,join(X_75,Y)) = X_75,
    inference(subst,[],[absorption1:[bind(X,$fot(X_75))]]) ).

cnf(refute_0_1728,plain,
    ( meet(X_75,join(X_75,Y)) != X_75
    | meet(join(X_75,Y),meet(X_74,X_75)) != meet(X_74,meet(X_75,join(X_75,Y)))
    | meet(join(X_75,Y),meet(X_74,X_75)) = meet(X_74,X_75) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_75,Y),meet(X_74,X_75)),meet(X_74,meet(X_75,join(X_75,Y)))) ),[1,1],$fot(X_75)]]) ).

cnf(refute_0_1729,plain,
    ( meet(join(X_75,Y),meet(X_74,X_75)) != meet(X_74,meet(X_75,join(X_75,Y)))
    | meet(join(X_75,Y),meet(X_74,X_75)) = meet(X_74,X_75) ),
    inference(resolve,[$cnf( $equal(meet(X_75,join(X_75,Y)),X_75) )],[refute_0_1727,refute_0_1728]) ).

cnf(refute_0_1730,plain,
    meet(join(X_75,Y),meet(X_74,X_75)) = meet(X_74,X_75),
    inference(resolve,[$cnf( $equal(meet(join(X_75,Y),meet(X_74,X_75)),meet(X_74,meet(X_75,join(X_75,Y)))) )],[refute_0_1726,refute_0_1729]) ).

cnf(refute_0_1731,plain,
    meet(join(X_75,Y),meet(X_74,X_75)) = meet(X_75,meet(X_74,join(X_75,Y))),
    inference(subst,[],[refute_0_351:[bind(X_73,$fot(X_75)),bind(X_74,$fot(join(X_75,Y))),bind(X_75,$fot(X_74))]]) ).

cnf(refute_0_1732,plain,
    ( meet(join(X_75,Y),meet(X_74,X_75)) != meet(X_74,X_75)
    | meet(join(X_75,Y),meet(X_74,X_75)) != meet(X_75,meet(X_74,join(X_75,Y)))
    | meet(X_75,meet(X_74,join(X_75,Y))) = meet(X_74,X_75) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_75,Y),meet(X_74,X_75)),meet(X_74,X_75)) ),[0],$fot(meet(X_75,meet(X_74,join(X_75,Y))))]]) ).

cnf(refute_0_1733,plain,
    ( meet(join(X_75,Y),meet(X_74,X_75)) != meet(X_74,X_75)
    | meet(X_75,meet(X_74,join(X_75,Y))) = meet(X_74,X_75) ),
    inference(resolve,[$cnf( $equal(meet(join(X_75,Y),meet(X_74,X_75)),meet(X_75,meet(X_74,join(X_75,Y)))) )],[refute_0_1731,refute_0_1732]) ).

cnf(refute_0_1734,plain,
    meet(X_75,meet(X_74,join(X_75,Y))) = meet(X_74,X_75),
    inference(resolve,[$cnf( $equal(meet(join(X_75,Y),meet(X_74,X_75)),meet(X_74,X_75)) )],[refute_0_1730,refute_0_1733]) ).

cnf(refute_0_1735,plain,
    meet(b,meet(join(a,X_744),join(b,X_744))) = meet(join(a,X_744),b),
    inference(subst,[],[refute_0_1734:[bind(Y,$fot(X_744)),bind(X_74,$fot(join(a,X_744))),bind(X_75,$fot(b))]]) ).

cnf(refute_0_1736,plain,
    ( meet(b,meet(join(a,X_744),join(b,X_744))) != meet(join(a,X_744),b)
    | meet(join(a,X_744),b) != join(a,meet(b,X_744))
    | meet(b,meet(join(a,X_744),join(b,X_744))) = join(a,meet(b,X_744)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(join(a,X_744),join(b,X_744))))),bind(Y0,$fot(meet(join(a,X_744),b))),bind(Z0,$fot(join(a,meet(b,X_744))))]]) ).

cnf(refute_0_1737,plain,
    ( meet(join(a,X_744),b) != join(a,meet(b,X_744))
    | meet(b,meet(join(a,X_744),join(b,X_744))) = join(a,meet(b,X_744)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,X_744),join(b,X_744))),meet(join(a,X_744),b)) )],[refute_0_1735,refute_0_1736]) ).

cnf(refute_0_1738,plain,
    meet(b,meet(join(a,X_744),join(b,X_744))) = join(a,meet(b,X_744)),
    inference(resolve,[$cnf( $equal(meet(join(a,X_744),b),join(a,meet(b,X_744))) )],[refute_0_1725,refute_0_1737]) ).

cnf(refute_0_1739,plain,
    join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) = join(a,meet(b,meet(join(a,X_744),join(b,X_744)))),
    introduced(tautology,[refl,[$fot(join(a,meet(b,meet(join(a,X_744),join(b,X_744)))))]]) ).

cnf(refute_0_1740,plain,
    ( join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) != join(a,meet(b,meet(join(a,X_744),join(b,X_744))))
    | meet(b,meet(join(a,X_744),join(b,X_744))) != join(a,meet(b,X_744))
    | join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) = join(a,join(a,meet(b,X_744))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(a,meet(b,meet(join(a,X_744),join(b,X_744)))),join(a,meet(b,meet(join(a,X_744),join(b,X_744))))) ),[1,1],$fot(join(a,meet(b,X_744)))]]) ).

cnf(refute_0_1741,plain,
    ( meet(b,meet(join(a,X_744),join(b,X_744))) != join(a,meet(b,X_744))
    | join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) = join(a,join(a,meet(b,X_744))) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(join(a,X_744),join(b,X_744)))),join(a,meet(b,meet(join(a,X_744),join(b,X_744))))) )],[refute_0_1739,refute_0_1740]) ).

cnf(refute_0_1742,plain,
    join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) = join(a,join(a,meet(b,X_744))),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,X_744),join(b,X_744))),join(a,meet(b,X_744))) )],[refute_0_1738,refute_0_1741]) ).

cnf(refute_0_1743,plain,
    ( join(a,join(a,meet(b,X_744))) != join(a,meet(b,X_744))
    | join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) != join(a,join(a,meet(b,X_744)))
    | join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) = join(a,meet(b,X_744)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(a,meet(b,meet(join(a,X_744),join(b,X_744)))))),bind(Y0,$fot(join(a,join(a,meet(b,X_744))))),bind(Z0,$fot(join(a,meet(b,X_744))))]]) ).

cnf(refute_0_1744,plain,
    ( join(a,join(a,meet(b,X_744))) != join(a,meet(b,X_744))
    | join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) = join(a,meet(b,X_744)) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(join(a,X_744),join(b,X_744)))),join(a,join(a,meet(b,X_744)))) )],[refute_0_1742,refute_0_1743]) ).

cnf(refute_0_1745,plain,
    join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) = join(a,meet(b,X_744)),
    inference(resolve,[$cnf( $equal(join(a,join(a,meet(b,X_744))),join(a,meet(b,X_744))) )],[refute_0_1678,refute_0_1744]) ).

cnf(refute_0_1746,plain,
    join(b,X_252) = join(X_252,b),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(b)),bind(Y,$fot(X_252))]]) ).

cnf(refute_0_1747,plain,
    ( join(b,X_252) != join(X_252,b)
    | join(X_252,b) = join(b,X_252) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(b,X_252))),bind(Y0,$fot(join(X_252,b)))]]) ).

cnf(refute_0_1748,plain,
    join(X_252,b) = join(b,X_252),
    inference(resolve,[$cnf( $equal(join(b,X_252),join(X_252,b)) )],[refute_0_1746,refute_0_1747]) ).

cnf(refute_0_1749,plain,
    ( join(X_252,b) != join(b,X_252)
    | meet(join(X_252,a),join(X_252,b)) != join(X_252,a)
    | meet(join(X_252,a),join(b,X_252)) = join(X_252,a) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_252,a),join(X_252,b)),join(X_252,a)) ),[0,1],$fot(join(b,X_252))]]) ).

cnf(refute_0_1750,plain,
    ( meet(join(X_252,a),join(X_252,b)) != join(X_252,a)
    | meet(join(X_252,a),join(b,X_252)) = join(X_252,a) ),
    inference(resolve,[$cnf( $equal(join(X_252,b),join(b,X_252)) )],[refute_0_1748,refute_0_1749]) ).

cnf(refute_0_1751,plain,
    meet(join(X_252,a),join(b,X_252)) = join(X_252,a),
    inference(resolve,[$cnf( $equal(meet(join(X_252,a),join(X_252,b)),join(X_252,a)) )],[refute_0_711,refute_0_1750]) ).

cnf(refute_0_1752,plain,
    meet(join(meet(X_687,meet(b,X_688)),a),join(b,meet(X_687,meet(b,X_688)))) = join(meet(X_687,meet(b,X_688)),a),
    inference(subst,[],[refute_0_1751:[bind(X_252,$fot(meet(X_687,meet(b,X_688))))]]) ).

cnf(refute_0_1753,plain,
    join(X,meet(X,meet(X_75,X_73))) = X,
    inference(subst,[],[absorption2:[bind(Y,$fot(meet(X_75,X_73)))]]) ).

cnf(refute_0_1754,plain,
    meet(X_73,meet(X,X_75)) = meet(X,meet(X_75,X_73)),
    inference(subst,[],[refute_0_59:[bind(X,$fot(X_73)),bind(X_43,$fot(X)),bind(X_44,$fot(X_75))]]) ).

cnf(refute_0_1755,plain,
    ( meet(X_73,meet(X,X_75)) != meet(X,meet(X_75,X_73))
    | meet(X,meet(X_75,X_73)) = meet(X_73,meet(X,X_75)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_73,meet(X,X_75)))),bind(Y0,$fot(meet(X,meet(X_75,X_73))))]]) ).

cnf(refute_0_1756,plain,
    meet(X,meet(X_75,X_73)) = meet(X_73,meet(X,X_75)),
    inference(resolve,[$cnf( $equal(meet(X_73,meet(X,X_75)),meet(X,meet(X_75,X_73))) )],[refute_0_1754,refute_0_1755]) ).

cnf(refute_0_1757,plain,
    ( join(X,meet(X,meet(X_75,X_73))) != X
    | meet(X,meet(X_75,X_73)) != meet(X_73,meet(X,X_75))
    | join(X,meet(X_73,meet(X,X_75))) = X ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,meet(X,meet(X_75,X_73))),X) ),[0,1],$fot(meet(X_73,meet(X,X_75)))]]) ).

cnf(refute_0_1758,plain,
    ( join(X,meet(X,meet(X_75,X_73))) != X
    | join(X,meet(X_73,meet(X,X_75))) = X ),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_75,X_73)),meet(X_73,meet(X,X_75))) )],[refute_0_1756,refute_0_1757]) ).

cnf(refute_0_1759,plain,
    join(X,meet(X_73,meet(X,X_75))) = X,
    inference(resolve,[$cnf( $equal(join(X,meet(X,meet(X_75,X_73))),X) )],[refute_0_1753,refute_0_1758]) ).

cnf(refute_0_1760,plain,
    join(b,meet(X_687,meet(b,X_688))) = b,
    inference(subst,[],[refute_0_1759:[bind(X,$fot(b)),bind(X_73,$fot(X_687)),bind(X_75,$fot(X_688))]]) ).

cnf(refute_0_1761,plain,
    ( join(b,meet(X_687,meet(b,X_688))) != b
    | meet(join(meet(X_687,meet(b,X_688)),a),join(b,meet(X_687,meet(b,X_688)))) != join(meet(X_687,meet(b,X_688)),a)
    | meet(join(meet(X_687,meet(b,X_688)),a),b) = join(meet(X_687,meet(b,X_688)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_687,meet(b,X_688)),a),join(b,meet(X_687,meet(b,X_688)))),join(meet(X_687,meet(b,X_688)),a)) ),[0,1],$fot(b)]]) ).

cnf(refute_0_1762,plain,
    ( meet(join(meet(X_687,meet(b,X_688)),a),join(b,meet(X_687,meet(b,X_688)))) != join(meet(X_687,meet(b,X_688)),a)
    | meet(join(meet(X_687,meet(b,X_688)),a),b) = join(meet(X_687,meet(b,X_688)),a) ),
    inference(resolve,[$cnf( $equal(join(b,meet(X_687,meet(b,X_688))),b) )],[refute_0_1760,refute_0_1761]) ).

cnf(refute_0_1763,plain,
    meet(join(meet(X_687,meet(b,X_688)),a),b) = join(meet(X_687,meet(b,X_688)),a),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_687,meet(b,X_688)),a),join(b,meet(X_687,meet(b,X_688)))),join(meet(X_687,meet(b,X_688)),a)) )],[refute_0_1752,refute_0_1762]) ).

cnf(refute_0_1764,plain,
    meet(b,meet(X_687,meet(b,X_688))) = meet(b,meet(X_687,X_688)),
    inference(subst,[],[refute_0_84:[bind(X_15,$fot(X_687)),bind(X_43,$fot(b)),bind(X_45,$fot(X_688))]]) ).

cnf(refute_0_1765,plain,
    join(a,meet(b,meet(X_687,meet(b,X_688)))) = join(a,meet(b,meet(X_687,meet(b,X_688)))),
    introduced(tautology,[refl,[$fot(join(a,meet(b,meet(X_687,meet(b,X_688)))))]]) ).

cnf(refute_0_1766,plain,
    ( join(a,meet(b,meet(X_687,meet(b,X_688)))) != join(a,meet(b,meet(X_687,meet(b,X_688))))
    | meet(b,meet(X_687,meet(b,X_688))) != meet(b,meet(X_687,X_688))
    | join(a,meet(b,meet(X_687,meet(b,X_688)))) = join(a,meet(b,meet(X_687,X_688))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(a,meet(b,meet(X_687,meet(b,X_688)))),join(a,meet(b,meet(X_687,meet(b,X_688))))) ),[1,1],$fot(meet(b,meet(X_687,X_688)))]]) ).

cnf(refute_0_1767,plain,
    ( meet(b,meet(X_687,meet(b,X_688))) != meet(b,meet(X_687,X_688))
    | join(a,meet(b,meet(X_687,meet(b,X_688)))) = join(a,meet(b,meet(X_687,X_688))) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(X_687,meet(b,X_688)))),join(a,meet(b,meet(X_687,meet(b,X_688))))) )],[refute_0_1765,refute_0_1766]) ).

cnf(refute_0_1768,plain,
    join(a,meet(b,meet(X_687,meet(b,X_688)))) = join(a,meet(b,meet(X_687,X_688))),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_687,meet(b,X_688))),meet(b,meet(X_687,X_688))) )],[refute_0_1764,refute_0_1767]) ).

cnf(refute_0_1769,plain,
    meet(b,join(a,meet(X_687,meet(b,X_688)))) = join(a,meet(b,meet(X_687,meet(b,X_688)))),
    inference(subst,[],[refute_0_1627:[bind(Y,$fot(meet(X_687,meet(b,X_688))))]]) ).

cnf(refute_0_1770,plain,
    meet(join(a,meet(X_687,meet(b,X_688))),b) = meet(b,join(a,meet(X_687,meet(b,X_688)))),
    inference(subst,[],[refute_0_1721:[bind(X_583,$fot(join(a,meet(X_687,meet(b,X_688)))))]]) ).

cnf(refute_0_1771,plain,
    ( meet(b,join(a,meet(X_687,meet(b,X_688)))) != join(a,meet(b,meet(X_687,meet(b,X_688))))
    | meet(join(a,meet(X_687,meet(b,X_688))),b) != meet(b,join(a,meet(X_687,meet(b,X_688))))
    | meet(join(a,meet(X_687,meet(b,X_688))),b) = join(a,meet(b,meet(X_687,meet(b,X_688)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(a,meet(X_687,meet(b,X_688))),b))),bind(Y0,$fot(meet(b,join(a,meet(X_687,meet(b,X_688)))))),bind(Z0,$fot(join(a,meet(b,meet(X_687,meet(b,X_688))))))]]) ).

cnf(refute_0_1772,plain,
    ( meet(b,join(a,meet(X_687,meet(b,X_688)))) != join(a,meet(b,meet(X_687,meet(b,X_688))))
    | meet(join(a,meet(X_687,meet(b,X_688))),b) = join(a,meet(b,meet(X_687,meet(b,X_688)))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(X_687,meet(b,X_688))),b),meet(b,join(a,meet(X_687,meet(b,X_688))))) )],[refute_0_1770,refute_0_1771]) ).

cnf(refute_0_1773,plain,
    meet(join(a,meet(X_687,meet(b,X_688))),b) = join(a,meet(b,meet(X_687,meet(b,X_688)))),
    inference(resolve,[$cnf( $equal(meet(b,join(a,meet(X_687,meet(b,X_688)))),join(a,meet(b,meet(X_687,meet(b,X_688))))) )],[refute_0_1769,refute_0_1772]) ).

cnf(refute_0_1774,plain,
    meet(join(X_588,a),Y) = meet(Y,join(X_588,a)),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(join(X_588,a)))]]) ).

cnf(refute_0_1775,plain,
    meet(join(a,X_518),Y) = meet(Y,join(a,X_518)),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(join(a,X_518)))]]) ).

cnf(refute_0_1776,plain,
    meet(Y,join(X_518,a)) = meet(Y,join(a,X_518)),
    inference(subst,[],[refute_0_743:[bind(X_252,$fot(X_518)),bind(X_274,$fot(Y))]]) ).

cnf(refute_0_1777,plain,
    ( meet(Y,join(X_518,a)) != meet(Y,join(a,X_518))
    | meet(Y,join(a,X_518)) = meet(Y,join(X_518,a)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(Y,join(X_518,a)))),bind(Y0,$fot(meet(Y,join(a,X_518))))]]) ).

cnf(refute_0_1778,plain,
    meet(Y,join(a,X_518)) = meet(Y,join(X_518,a)),
    inference(resolve,[$cnf( $equal(meet(Y,join(X_518,a)),meet(Y,join(a,X_518))) )],[refute_0_1776,refute_0_1777]) ).

cnf(refute_0_1779,plain,
    ( meet(Y,join(a,X_518)) != meet(Y,join(X_518,a))
    | meet(join(a,X_518),Y) != meet(Y,join(a,X_518))
    | meet(join(a,X_518),Y) = meet(Y,join(X_518,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_518),Y),meet(Y,join(a,X_518))) ),[1],$fot(meet(Y,join(X_518,a)))]]) ).

cnf(refute_0_1780,plain,
    ( meet(join(a,X_518),Y) != meet(Y,join(a,X_518))
    | meet(join(a,X_518),Y) = meet(Y,join(X_518,a)) ),
    inference(resolve,[$cnf( $equal(meet(Y,join(a,X_518)),meet(Y,join(X_518,a))) )],[refute_0_1778,refute_0_1779]) ).

cnf(refute_0_1781,plain,
    meet(join(a,X_518),Y) = meet(Y,join(X_518,a)),
    inference(resolve,[$cnf( $equal(meet(join(a,X_518),Y),meet(Y,join(a,X_518))) )],[refute_0_1775,refute_0_1780]) ).

cnf(refute_0_1782,plain,
    meet(join(a,X_588),Y) = meet(Y,join(X_588,a)),
    inference(subst,[],[refute_0_1781:[bind(X_518,$fot(X_588))]]) ).

cnf(refute_0_1783,plain,
    ( meet(join(a,X_588),Y) != meet(Y,join(X_588,a))
    | meet(Y,join(X_588,a)) = meet(join(a,X_588),Y) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(join(a,X_588),Y))),bind(Y0,$fot(meet(Y,join(X_588,a))))]]) ).

cnf(refute_0_1784,plain,
    meet(Y,join(X_588,a)) = meet(join(a,X_588),Y),
    inference(resolve,[$cnf( $equal(meet(join(a,X_588),Y),meet(Y,join(X_588,a))) )],[refute_0_1782,refute_0_1783]) ).

cnf(refute_0_1785,plain,
    ( meet(Y,join(X_588,a)) != meet(join(a,X_588),Y)
    | meet(join(X_588,a),Y) != meet(Y,join(X_588,a))
    | meet(join(X_588,a),Y) = meet(join(a,X_588),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_588,a),Y),meet(Y,join(X_588,a))) ),[1],$fot(meet(join(a,X_588),Y))]]) ).

cnf(refute_0_1786,plain,
    ( meet(join(X_588,a),Y) != meet(Y,join(X_588,a))
    | meet(join(X_588,a),Y) = meet(join(a,X_588),Y) ),
    inference(resolve,[$cnf( $equal(meet(Y,join(X_588,a)),meet(join(a,X_588),Y)) )],[refute_0_1784,refute_0_1785]) ).

cnf(refute_0_1787,plain,
    meet(join(X_588,a),Y) = meet(join(a,X_588),Y),
    inference(resolve,[$cnf( $equal(meet(join(X_588,a),Y),meet(Y,join(X_588,a))) )],[refute_0_1774,refute_0_1786]) ).

cnf(refute_0_1788,plain,
    meet(join(meet(X_687,meet(b,X_688)),a),b) = meet(join(a,meet(X_687,meet(b,X_688))),b),
    inference(subst,[],[refute_0_1787:[bind(Y,$fot(b)),bind(X_588,$fot(meet(X_687,meet(b,X_688))))]]) ).

cnf(refute_0_1789,plain,
    ( meet(join(a,meet(X_687,meet(b,X_688))),b) != join(a,meet(b,meet(X_687,meet(b,X_688))))
    | meet(join(meet(X_687,meet(b,X_688)),a),b) != meet(join(a,meet(X_687,meet(b,X_688))),b)
    | meet(join(meet(X_687,meet(b,X_688)),a),b) = join(a,meet(b,meet(X_687,meet(b,X_688)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(meet(X_687,meet(b,X_688)),a),b))),bind(Y0,$fot(meet(join(a,meet(X_687,meet(b,X_688))),b))),bind(Z0,$fot(join(a,meet(b,meet(X_687,meet(b,X_688))))))]]) ).

cnf(refute_0_1790,plain,
    ( meet(join(a,meet(X_687,meet(b,X_688))),b) != join(a,meet(b,meet(X_687,meet(b,X_688))))
    | meet(join(meet(X_687,meet(b,X_688)),a),b) = join(a,meet(b,meet(X_687,meet(b,X_688)))) ),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_687,meet(b,X_688)),a),b),meet(join(a,meet(X_687,meet(b,X_688))),b)) )],[refute_0_1788,refute_0_1789]) ).

cnf(refute_0_1791,plain,
    meet(join(meet(X_687,meet(b,X_688)),a),b) = join(a,meet(b,meet(X_687,meet(b,X_688)))),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(X_687,meet(b,X_688))),b),join(a,meet(b,meet(X_687,meet(b,X_688))))) )],[refute_0_1773,refute_0_1790]) ).

cnf(refute_0_1792,plain,
    ( join(a,meet(b,meet(X_687,meet(b,X_688)))) != join(a,meet(b,meet(X_687,X_688)))
    | meet(join(meet(X_687,meet(b,X_688)),a),b) != join(a,meet(b,meet(X_687,meet(b,X_688))))
    | meet(join(meet(X_687,meet(b,X_688)),a),b) = join(a,meet(b,meet(X_687,X_688))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(meet(X_687,meet(b,X_688)),a),b))),bind(Y0,$fot(join(a,meet(b,meet(X_687,meet(b,X_688)))))),bind(Z0,$fot(join(a,meet(b,meet(X_687,X_688)))))]]) ).

cnf(refute_0_1793,plain,
    ( join(a,meet(b,meet(X_687,meet(b,X_688)))) != join(a,meet(b,meet(X_687,X_688)))
    | meet(join(meet(X_687,meet(b,X_688)),a),b) = join(a,meet(b,meet(X_687,X_688))) ),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_687,meet(b,X_688)),a),b),join(a,meet(b,meet(X_687,meet(b,X_688))))) )],[refute_0_1791,refute_0_1792]) ).

cnf(refute_0_1794,plain,
    meet(join(meet(X_687,meet(b,X_688)),a),b) = join(a,meet(b,meet(X_687,X_688))),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(X_687,meet(b,X_688)))),join(a,meet(b,meet(X_687,X_688)))) )],[refute_0_1768,refute_0_1793]) ).

cnf(refute_0_1795,plain,
    ( meet(join(meet(X_687,meet(b,X_688)),a),b) != join(a,meet(b,meet(X_687,X_688)))
    | meet(join(meet(X_687,meet(b,X_688)),a),b) != join(meet(X_687,meet(b,X_688)),a)
    | join(a,meet(b,meet(X_687,X_688))) = join(meet(X_687,meet(b,X_688)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_687,meet(b,X_688)),a),b),join(meet(X_687,meet(b,X_688)),a)) ),[0],$fot(join(a,meet(b,meet(X_687,X_688))))]]) ).

cnf(refute_0_1796,plain,
    ( meet(join(meet(X_687,meet(b,X_688)),a),b) != join(meet(X_687,meet(b,X_688)),a)
    | join(a,meet(b,meet(X_687,X_688))) = join(meet(X_687,meet(b,X_688)),a) ),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_687,meet(b,X_688)),a),b),join(a,meet(b,meet(X_687,X_688)))) )],[refute_0_1794,refute_0_1795]) ).

cnf(refute_0_1797,plain,
    meet(meet(b,X_688),X_687) = meet(b,meet(X_688,X_687)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(X_688)),bind(Z,$fot(X_687))]]) ).

cnf(refute_0_1798,plain,
    join(a,meet(meet(b,X_688),X_687)) = join(a,meet(meet(b,X_688),X_687)),
    introduced(tautology,[refl,[$fot(join(a,meet(meet(b,X_688),X_687)))]]) ).

cnf(refute_0_1799,plain,
    ( join(a,meet(meet(b,X_688),X_687)) != join(a,meet(meet(b,X_688),X_687))
    | meet(meet(b,X_688),X_687) != meet(b,meet(X_688,X_687))
    | join(a,meet(meet(b,X_688),X_687)) = join(a,meet(b,meet(X_688,X_687))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(a,meet(meet(b,X_688),X_687)),join(a,meet(meet(b,X_688),X_687))) ),[1,1],$fot(meet(b,meet(X_688,X_687)))]]) ).

cnf(refute_0_1800,plain,
    ( meet(meet(b,X_688),X_687) != meet(b,meet(X_688,X_687))
    | join(a,meet(meet(b,X_688),X_687)) = join(a,meet(b,meet(X_688,X_687))) ),
    inference(resolve,[$cnf( $equal(join(a,meet(meet(b,X_688),X_687)),join(a,meet(meet(b,X_688),X_687))) )],[refute_0_1798,refute_0_1799]) ).

cnf(refute_0_1801,plain,
    join(a,meet(meet(b,X_688),X_687)) = join(a,meet(b,meet(X_688,X_687))),
    inference(resolve,[$cnf( $equal(meet(meet(b,X_688),X_687),meet(b,meet(X_688,X_687))) )],[refute_0_1797,refute_0_1800]) ).

cnf(refute_0_1802,plain,
    join(meet(X_453,X_451),X_33) = join(meet(X_453,X_451),join(meet(Y,meet(X_453,X_451)),X_33)),
    inference(subst,[],[refute_0_559:[bind(X_31,$fot(meet(X_453,X_451)))]]) ).

cnf(refute_0_1803,plain,
    meet(Y,meet(X_453,X_451)) = meet(X_451,meet(X_453,Y)),
    inference(subst,[],[refute_0_603:[bind(Y,$fot(X_451)),bind(X_288,$fot(Y)),bind(X_289,$fot(X_453))]]) ).

cnf(refute_0_1804,plain,
    ( join(meet(X_453,X_451),X_33) != join(meet(X_453,X_451),join(meet(Y,meet(X_453,X_451)),X_33))
    | meet(Y,meet(X_453,X_451)) != meet(X_451,meet(X_453,Y))
    | join(meet(X_453,X_451),X_33) = join(meet(X_453,X_451),join(meet(X_451,meet(X_453,Y)),X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_453,X_451),X_33),join(meet(X_453,X_451),join(meet(Y,meet(X_453,X_451)),X_33))) ),[1,1,0],$fot(meet(X_451,meet(X_453,Y)))]]) ).

cnf(refute_0_1805,plain,
    ( join(meet(X_453,X_451),X_33) != join(meet(X_453,X_451),join(meet(Y,meet(X_453,X_451)),X_33))
    | join(meet(X_453,X_451),X_33) = join(meet(X_453,X_451),join(meet(X_451,meet(X_453,Y)),X_33)) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_453,X_451)),meet(X_451,meet(X_453,Y))) )],[refute_0_1803,refute_0_1804]) ).

cnf(refute_0_1806,plain,
    join(meet(X_453,X_451),X_33) = join(meet(X_453,X_451),join(meet(X_451,meet(X_453,Y)),X_33)),
    inference(resolve,[$cnf( $equal(join(meet(X_453,X_451),X_33),join(meet(X_453,X_451),join(meet(Y,meet(X_453,X_451)),X_33))) )],[refute_0_1802,refute_0_1805]) ).

cnf(refute_0_1807,plain,
    join(meet(X_453,X_451),join(meet(X_451,meet(X_453,Y)),X_33)) = join(X_33,meet(X_451,X_453)),
    inference(subst,[],[refute_0_1235:[bind(X_103,$fot(X_33)),bind(X_346,$fot(X_451)),bind(X_347,$fot(Y)),bind(X_348,$fot(X_453))]]) ).

cnf(refute_0_1808,plain,
    ( join(meet(X_453,X_451),X_33) != join(meet(X_453,X_451),join(meet(X_451,meet(X_453,Y)),X_33))
    | join(meet(X_453,X_451),join(meet(X_451,meet(X_453,Y)),X_33)) != join(X_33,meet(X_451,X_453))
    | join(meet(X_453,X_451),X_33) = join(X_33,meet(X_451,X_453)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_453,X_451),X_33),join(X_33,meet(X_451,X_453))) ),[0],$fot(join(meet(X_453,X_451),join(meet(X_451,meet(X_453,Y)),X_33)))]]) ).

cnf(refute_0_1809,plain,
    ( join(meet(X_453,X_451),X_33) != join(meet(X_453,X_451),join(meet(X_451,meet(X_453,Y)),X_33))
    | join(meet(X_453,X_451),X_33) = join(X_33,meet(X_451,X_453)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_453,X_451),join(meet(X_451,meet(X_453,Y)),X_33)),join(X_33,meet(X_451,X_453))) )],[refute_0_1807,refute_0_1808]) ).

cnf(refute_0_1810,plain,
    join(meet(X_453,X_451),X_33) = join(X_33,meet(X_451,X_453)),
    inference(resolve,[$cnf( $equal(join(meet(X_453,X_451),X_33),join(meet(X_453,X_451),join(meet(X_451,meet(X_453,Y)),X_33))) )],[refute_0_1806,refute_0_1809]) ).

cnf(refute_0_1811,plain,
    join(meet(X_687,meet(b,X_688)),a) = join(a,meet(meet(b,X_688),X_687)),
    inference(subst,[],[refute_0_1810:[bind(X_33,$fot(a)),bind(X_451,$fot(meet(b,X_688))),bind(X_453,$fot(X_687))]]) ).

cnf(refute_0_1812,plain,
    ( join(a,meet(meet(b,X_688),X_687)) != join(a,meet(b,meet(X_688,X_687)))
    | join(meet(X_687,meet(b,X_688)),a) != join(a,meet(meet(b,X_688),X_687))
    | join(meet(X_687,meet(b,X_688)),a) = join(a,meet(b,meet(X_688,X_687))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_687,meet(b,X_688)),a))),bind(Y0,$fot(join(a,meet(meet(b,X_688),X_687)))),bind(Z0,$fot(join(a,meet(b,meet(X_688,X_687)))))]]) ).

cnf(refute_0_1813,plain,
    ( join(a,meet(meet(b,X_688),X_687)) != join(a,meet(b,meet(X_688,X_687)))
    | join(meet(X_687,meet(b,X_688)),a) = join(a,meet(b,meet(X_688,X_687))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_687,meet(b,X_688)),a),join(a,meet(meet(b,X_688),X_687))) )],[refute_0_1811,refute_0_1812]) ).

cnf(refute_0_1814,plain,
    join(meet(X_687,meet(b,X_688)),a) = join(a,meet(b,meet(X_688,X_687))),
    inference(resolve,[$cnf( $equal(join(a,meet(meet(b,X_688),X_687)),join(a,meet(b,meet(X_688,X_687)))) )],[refute_0_1801,refute_0_1813]) ).

cnf(refute_0_1815,plain,
    ( join(a,meet(b,meet(X_687,X_688))) != join(meet(X_687,meet(b,X_688)),a)
    | join(meet(X_687,meet(b,X_688)),a) != join(a,meet(b,meet(X_688,X_687)))
    | join(a,meet(b,meet(X_687,X_688))) = join(a,meet(b,meet(X_688,X_687))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(a,meet(b,meet(X_687,X_688))),join(a,meet(b,meet(X_688,X_687)))) ),[0],$fot(join(meet(X_687,meet(b,X_688)),a))]]) ).

cnf(refute_0_1816,plain,
    ( join(a,meet(b,meet(X_687,X_688))) != join(meet(X_687,meet(b,X_688)),a)
    | join(a,meet(b,meet(X_687,X_688))) = join(a,meet(b,meet(X_688,X_687))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_687,meet(b,X_688)),a),join(a,meet(b,meet(X_688,X_687)))) )],[refute_0_1814,refute_0_1815]) ).

cnf(refute_0_1817,plain,
    ( meet(join(meet(X_687,meet(b,X_688)),a),b) != join(meet(X_687,meet(b,X_688)),a)
    | join(a,meet(b,meet(X_687,X_688))) = join(a,meet(b,meet(X_688,X_687))) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(X_687,X_688))),join(meet(X_687,meet(b,X_688)),a)) )],[refute_0_1796,refute_0_1816]) ).

cnf(refute_0_1818,plain,
    join(a,meet(b,meet(X_687,X_688))) = join(a,meet(b,meet(X_688,X_687))),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_687,meet(b,X_688)),a),b),join(meet(X_687,meet(b,X_688)),a)) )],[refute_0_1763,refute_0_1817]) ).

cnf(refute_0_1819,plain,
    ( join(a,meet(b,meet(X_687,X_688))) != join(a,meet(b,meet(X_688,X_687)))
    | join(a,meet(b,meet(X_688,X_687))) = join(a,meet(b,meet(X_687,X_688))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(a,meet(b,meet(X_687,X_688))))),bind(Y0,$fot(join(a,meet(b,meet(X_688,X_687)))))]]) ).

cnf(refute_0_1820,plain,
    join(a,meet(b,meet(X_688,X_687))) = join(a,meet(b,meet(X_687,X_688))),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(X_687,X_688))),join(a,meet(b,meet(X_688,X_687)))) )],[refute_0_1818,refute_0_1819]) ).

cnf(refute_0_1821,plain,
    join(a,meet(b,meet(join(b,X_744),join(a,X_744)))) = join(a,meet(b,meet(join(a,X_744),join(b,X_744)))),
    inference(subst,[],[refute_0_1820:[bind(X_687,$fot(join(a,X_744))),bind(X_688,$fot(join(b,X_744)))]]) ).

cnf(refute_0_1822,plain,
    ( join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) != join(a,meet(b,X_744))
    | join(a,meet(b,meet(join(b,X_744),join(a,X_744)))) != join(a,meet(b,meet(join(a,X_744),join(b,X_744))))
    | join(a,meet(b,meet(join(b,X_744),join(a,X_744)))) = join(a,meet(b,X_744)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))),bind(Y0,$fot(join(a,meet(b,meet(join(a,X_744),join(b,X_744)))))),bind(Z0,$fot(join(a,meet(b,X_744))))]]) ).

cnf(refute_0_1823,plain,
    ( join(a,meet(b,meet(join(a,X_744),join(b,X_744)))) != join(a,meet(b,X_744))
    | join(a,meet(b,meet(join(b,X_744),join(a,X_744)))) = join(a,meet(b,X_744)) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))),join(a,meet(b,meet(join(a,X_744),join(b,X_744))))) )],[refute_0_1821,refute_0_1822]) ).

cnf(refute_0_1824,plain,
    join(a,meet(b,meet(join(b,X_744),join(a,X_744)))) = join(a,meet(b,X_744)),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(join(a,X_744),join(b,X_744)))),join(a,meet(b,X_744))) )],[refute_0_1745,refute_0_1823]) ).

cnf(refute_0_1825,plain,
    complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))) = complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),
    introduced(tautology,[refl,[$fot(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))]]) ).

cnf(refute_0_1826,plain,
    ( complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))) != complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))
    | join(a,meet(b,meet(join(b,X_744),join(a,X_744)))) != join(a,meet(b,X_744))
    | complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))) = complement(join(a,meet(b,X_744))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))) ),[1,0],$fot(join(a,meet(b,X_744)))]]) ).

cnf(refute_0_1827,plain,
    ( join(a,meet(b,meet(join(b,X_744),join(a,X_744)))) != join(a,meet(b,X_744))
    | complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))) = complement(join(a,meet(b,X_744))) ),
    inference(resolve,[$cnf( $equal(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))) )],[refute_0_1825,refute_0_1826]) ).

cnf(refute_0_1828,plain,
    complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))) = complement(join(a,meet(b,X_744))),
    inference(resolve,[$cnf( $equal(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))),join(a,meet(b,X_744))) )],[refute_0_1824,refute_0_1827]) ).

cnf(refute_0_1829,plain,
    meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))) = meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))),
    introduced(tautology,[refl,[$fot(meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))]]) ).

cnf(refute_0_1830,plain,
    ( complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))) != complement(join(a,meet(b,X_744)))
    | meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))) != meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))
    | meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))) = meet(join(a,X_744),complement(join(a,meet(b,X_744)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))),meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) ),[1,1],$fot(complement(join(a,meet(b,X_744))))]]) ).

cnf(refute_0_1831,plain,
    ( complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))) != complement(join(a,meet(b,X_744)))
    | meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))) = meet(join(a,X_744),complement(join(a,meet(b,X_744)))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))),meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) )],[refute_0_1829,refute_0_1830]) ).

cnf(refute_0_1832,plain,
    meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))) = meet(join(a,X_744),complement(join(a,meet(b,X_744)))),
    inference(resolve,[$cnf( $equal(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),complement(join(a,meet(b,X_744)))) )],[refute_0_1828,refute_0_1831]) ).

cnf(refute_0_1833,plain,
    meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))),
    introduced(tautology,[refl,[$fot(meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))))]]) ).

cnf(refute_0_1834,plain,
    ( meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) != meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))
    | meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))) != meet(join(a,X_744),complement(join(a,meet(b,X_744))))
    | meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))),meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))) ),[1,1],$fot(meet(join(a,X_744),complement(join(a,meet(b,X_744)))))]]) ).

cnf(refute_0_1835,plain,
    ( meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))) != meet(join(a,X_744),complement(join(a,meet(b,X_744))))
    | meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))),meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))) )],[refute_0_1833,refute_0_1834]) ).

cnf(refute_0_1836,plain,
    meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744))))),
    inference(resolve,[$cnf( $equal(meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))),meet(join(a,X_744),complement(join(a,meet(b,X_744))))) )],[refute_0_1832,refute_0_1835]) ).

cnf(refute_0_1837,plain,
    meet(b,meet(X_15,complement(join(X_657,a)))) = meet(b,meet(X_15,meet(b,complement(join(X_657,a))))),
    inference(subst,[],[refute_0_82:[bind(X_43,$fot(b)),bind(X_45,$fot(complement(join(X_657,a))))]]) ).

cnf(refute_0_1838,plain,
    ifeq(join(X_34,join(X_10,X_34)),one,ifeq(meet(X_34,join(X_10,X_34)),zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = join(X_10,X_34),
    inference(subst,[],[meet_join_complement:[bind(X,$fot(X_34)),bind(Y,$fot(join(X_10,X_34)))]]) ).

cnf(refute_0_1839,plain,
    meet(X_34,join(X_10,X_34)) = X_34,
    inference(subst,[],[refute_0_40:[bind(X_9,$fot(X_34))]]) ).

cnf(refute_0_1840,plain,
    ( ifeq(join(X_34,join(X_10,X_34)),one,ifeq(meet(X_34,join(X_10,X_34)),zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) != join(X_10,X_34)
    | meet(X_34,join(X_10,X_34)) != X_34
    | ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = join(X_10,X_34) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(X_34,join(X_10,X_34)),one,ifeq(meet(X_34,join(X_10,X_34)),zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)),join(X_10,X_34)) ),[0,2,0],$fot(X_34)]]) ).

cnf(refute_0_1841,plain,
    ( ifeq(join(X_34,join(X_10,X_34)),one,ifeq(meet(X_34,join(X_10,X_34)),zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) != join(X_10,X_34)
    | ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = join(X_10,X_34) ),
    inference(resolve,[$cnf( $equal(meet(X_34,join(X_10,X_34)),X_34) )],[refute_0_1839,refute_0_1840]) ).

cnf(refute_0_1842,plain,
    ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = join(X_10,X_34),
    inference(resolve,[$cnf( $equal(ifeq(join(X_34,join(X_10,X_34)),one,ifeq(meet(X_34,join(X_10,X_34)),zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)),join(X_10,X_34)) )],[refute_0_1838,refute_0_1841]) ).

cnf(refute_0_1843,plain,
    join(X_34,join(X_10,X_34)) = join(X_34,X_10),
    inference(subst,[],[refute_0_11:[bind(Y,$fot(X_10)),bind(X_28,$fot(X_34))]]) ).

cnf(refute_0_1844,plain,
    ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)),
    introduced(tautology,[refl,[$fot(ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)))]]) ).

cnf(refute_0_1845,plain,
    ( ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) != ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34))
    | join(X_34,join(X_10,X_34)) != join(X_34,X_10)
    | ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = ifeq(join(X_34,X_10),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)),ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34))) ),[1,0],$fot(join(X_34,X_10))]]) ).

cnf(refute_0_1846,plain,
    ( join(X_34,join(X_10,X_34)) != join(X_34,X_10)
    | ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = ifeq(join(X_34,X_10),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) ),
    inference(resolve,[$cnf( $equal(ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)),ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34))) )],[refute_0_1844,refute_0_1845]) ).

cnf(refute_0_1847,plain,
    ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = ifeq(join(X_34,X_10),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)),
    inference(resolve,[$cnf( $equal(join(X_34,join(X_10,X_34)),join(X_34,X_10)) )],[refute_0_1843,refute_0_1846]) ).

cnf(refute_0_1848,plain,
    ( ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) != ifeq(join(X_34,X_10),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34))
    | ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) != join(X_10,X_34)
    | ifeq(join(X_34,X_10),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = join(X_10,X_34) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)),join(X_10,X_34)) ),[0],$fot(ifeq(join(X_34,X_10),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)))]]) ).

cnf(refute_0_1849,plain,
    ( ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) != join(X_10,X_34)
    | ifeq(join(X_34,X_10),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = join(X_10,X_34) ),
    inference(resolve,[$cnf( $equal(ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)),ifeq(join(X_34,X_10),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34))) )],[refute_0_1847,refute_0_1848]) ).

cnf(refute_0_1850,plain,
    ifeq(join(X_34,X_10),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)) = join(X_10,X_34),
    inference(resolve,[$cnf( $equal(ifeq(join(X_34,join(X_10,X_34)),one,ifeq(X_34,zero,complement(X_34),join(X_10,X_34)),join(X_10,X_34)),join(X_10,X_34)) )],[refute_0_1842,refute_0_1849]) ).

cnf(refute_0_1851,plain,
    ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),join(meet(X_59,b),meet(a,X_59))) = join(meet(X_59,b),meet(a,X_59)),
    inference(subst,[],[refute_0_1850:[bind(X_10,$fot(meet(X_59,b))),bind(X_34,$fot(meet(a,X_59)))]]) ).

cnf(refute_0_1852,plain,
    ( ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),join(meet(X_59,b),meet(a,X_59))) != join(meet(X_59,b),meet(a,X_59))
    | join(meet(X_59,b),meet(a,X_59)) != meet(X_59,b)
    | ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = join(meet(X_59,b),meet(a,X_59)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),join(meet(X_59,b),meet(a,X_59))),join(meet(X_59,b),meet(a,X_59))) ),[0,3],$fot(meet(X_59,b))]]) ).

cnf(refute_0_1853,plain,
    ( ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),join(meet(X_59,b),meet(a,X_59))) != join(meet(X_59,b),meet(a,X_59))
    | ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = join(meet(X_59,b),meet(a,X_59)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_59,b),meet(a,X_59)),meet(X_59,b)) )],[refute_0_457,refute_0_1852]) ).

cnf(refute_0_1854,plain,
    ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = join(meet(X_59,b),meet(a,X_59)),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),join(meet(X_59,b),meet(a,X_59))),join(meet(X_59,b),meet(a,X_59))) )],[refute_0_1851,refute_0_1853]) ).

cnf(refute_0_1855,plain,
    ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))) = ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),
    introduced(tautology,[refl,[$fot(ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))))]]) ).

cnf(refute_0_1856,plain,
    ( ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))) != ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59)))
    | join(meet(X_59,b),meet(a,X_59)) != meet(X_59,b)
    | ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))) = ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59)))) ),[1,3],$fot(meet(X_59,b))]]) ).

cnf(refute_0_1857,plain,
    ( join(meet(X_59,b),meet(a,X_59)) != meet(X_59,b)
    | ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))) = ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59)))) )],[refute_0_1855,refute_0_1856]) ).

cnf(refute_0_1858,plain,
    ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))) = ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),
    inference(resolve,[$cnf( $equal(join(meet(X_59,b),meet(a,X_59)),meet(X_59,b)) )],[refute_0_457,refute_0_1857]) ).

cnf(refute_0_1859,plain,
    ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),
    introduced(tautology,[refl,[$fot(ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)))]]) ).

cnf(refute_0_1860,plain,
    ( ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) != ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b))
    | ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))) != ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b))
    | ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b))) ),[1,2],$fot(ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)))]]) ).

cnf(refute_0_1861,plain,
    ( ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))) != ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b))
    | ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b))) )],[refute_0_1859,refute_0_1860]) ).

cnf(refute_0_1862,plain,
    ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)),
    inference(resolve,[$cnf( $equal(ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b))) )],[refute_0_1858,refute_0_1861]) ).

cnf(refute_0_1863,plain,
    join(meet(a,X_59),meet(X_59,b)) = meet(X_59,b),
    inference(subst,[],[refute_0_861:[bind(X_100,$fot(X_59))]]) ).

cnf(refute_0_1864,plain,
    ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),
    introduced(tautology,[refl,[$fot(ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)))]]) ).

cnf(refute_0_1865,plain,
    ( ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) != ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b))
    | join(meet(a,X_59),meet(X_59,b)) != meet(X_59,b)
    | ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b))) ),[1,0],$fot(meet(X_59,b))]]) ).

cnf(refute_0_1866,plain,
    ( join(meet(a,X_59),meet(X_59,b)) != meet(X_59,b)
    | ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) ),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b))) )],[refute_0_1864,refute_0_1865]) ).

cnf(refute_0_1867,plain,
    ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),
    inference(resolve,[$cnf( $equal(join(meet(a,X_59),meet(X_59,b)),meet(X_59,b)) )],[refute_0_1863,refute_0_1866]) ).

cnf(refute_0_1868,plain,
    ( ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) != ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b))
    | ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) != ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b))
    | ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)))),bind(Y0,$fot(ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)))),bind(Z0,$fot(ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b))))]]) ).

cnf(refute_0_1869,plain,
    ( ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) != ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b))
    | ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) ),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b))) )],[refute_0_1867,refute_0_1868]) ).

cnf(refute_0_1870,plain,
    ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) = ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)),
    inference(resolve,[$cnf( $equal(ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b))) )],[refute_0_1862,refute_0_1869]) ).

cnf(refute_0_1871,plain,
    ( ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) != ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b))
    | ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) != join(meet(X_59,b),meet(a,X_59))
    | ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) = join(meet(X_59,b),meet(a,X_59)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),join(meet(X_59,b),meet(a,X_59))) ),[0],$fot(ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)))]]) ).

cnf(refute_0_1872,plain,
    ( ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) != join(meet(X_59,b),meet(a,X_59))
    | ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) = join(meet(X_59,b),meet(a,X_59)) ),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b))) )],[refute_0_1870,refute_0_1871]) ).

cnf(refute_0_1873,plain,
    ( ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) != join(meet(X_59,b),meet(a,X_59))
    | join(meet(X_59,b),meet(a,X_59)) != meet(X_59,b)
    | ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) = meet(X_59,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)),meet(X_59,b)) ),[0],$fot(join(meet(X_59,b),meet(a,X_59)))]]) ).

cnf(refute_0_1874,plain,
    ( ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) != join(meet(X_59,b),meet(a,X_59))
    | ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) = meet(X_59,b) ),
    inference(resolve,[$cnf( $equal(join(meet(X_59,b),meet(a,X_59)),meet(X_59,b)) )],[refute_0_457,refute_0_1873]) ).

cnf(refute_0_1875,plain,
    ( ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)) != join(meet(X_59,b),meet(a,X_59))
    | ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) = meet(X_59,b) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)),join(meet(X_59,b),meet(a,X_59))) )],[refute_0_1872,refute_0_1874]) ).

cnf(refute_0_1876,plain,
    ifeq(meet(X_59,b),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),meet(X_59,b)),meet(X_59,b)) = meet(X_59,b),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(a,X_59),meet(X_59,b)),one,ifeq(meet(a,X_59),zero,complement(meet(a,X_59)),join(meet(X_59,b),meet(a,X_59))),meet(X_59,b)),join(meet(X_59,b),meet(a,X_59))) )],[refute_0_1854,refute_0_1875]) ).

cnf(refute_0_1877,plain,
    ifeq(meet(complement(join(a,X_400)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = meet(complement(join(a,X_400)),b),
    inference(subst,[],[refute_0_1876:[bind(X_59,$fot(complement(join(a,X_400))))]]) ).

cnf(refute_0_1878,plain,
    ifeq(join(X,meet(complement(X),X_47)),one,ifeq(meet(X,meet(complement(X),X_47)),zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) = meet(complement(X),X_47),
    inference(subst,[],[meet_join_complement:[bind(Y,$fot(meet(complement(X),X_47)))]]) ).

cnf(refute_0_1879,plain,
    meet(meet(X_43,complement(X_43)),X_45) = meet(X_43,meet(complement(X_43),X_45)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(complement(X_43))),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_1880,plain,
    meet(X_43,complement(X_43)) = zero,
    inference(subst,[],[complement_meet:[bind(X,$fot(X_43))]]) ).

cnf(refute_0_1881,plain,
    ( meet(X_43,complement(X_43)) != zero
    | meet(meet(X_43,complement(X_43)),X_45) != meet(X_43,meet(complement(X_43),X_45))
    | meet(zero,X_45) = meet(X_43,meet(complement(X_43),X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,complement(X_43)),X_45),meet(X_43,meet(complement(X_43),X_45))) ),[0,0],$fot(zero)]]) ).

cnf(refute_0_1882,plain,
    ( meet(meet(X_43,complement(X_43)),X_45) != meet(X_43,meet(complement(X_43),X_45))
    | meet(zero,X_45) = meet(X_43,meet(complement(X_43),X_45)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,complement(X_43)),zero) )],[refute_0_1880,refute_0_1881]) ).

cnf(refute_0_1883,plain,
    meet(zero,X_45) = meet(X_43,meet(complement(X_43),X_45)),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,complement(X_43)),X_45),meet(X_43,meet(complement(X_43),X_45))) )],[refute_0_1879,refute_0_1882]) ).

cnf(refute_0_1884,plain,
    meet(zero,X_45) = zero,
    inference(subst,[],[refute_0_1369:[bind(X_10,$fot(X_45))]]) ).

cnf(refute_0_1885,plain,
    ( meet(zero,X_45) != meet(X_43,meet(complement(X_43),X_45))
    | meet(zero,X_45) != zero
    | zero = meet(X_43,meet(complement(X_43),X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,X_45),meet(X_43,meet(complement(X_43),X_45))) ),[0],$fot(zero)]]) ).

cnf(refute_0_1886,plain,
    ( meet(zero,X_45) != meet(X_43,meet(complement(X_43),X_45))
    | zero = meet(X_43,meet(complement(X_43),X_45)) ),
    inference(resolve,[$cnf( $equal(meet(zero,X_45),zero) )],[refute_0_1884,refute_0_1885]) ).

cnf(refute_0_1887,plain,
    zero = meet(X_43,meet(complement(X_43),X_45)),
    inference(resolve,[$cnf( $equal(meet(zero,X_45),meet(X_43,meet(complement(X_43),X_45))) )],[refute_0_1883,refute_0_1886]) ).

cnf(refute_0_1888,plain,
    zero = meet(X,meet(complement(X),X_47)),
    inference(subst,[],[refute_0_1887:[bind(X_43,$fot(X)),bind(X_45,$fot(X_47))]]) ).

cnf(refute_0_1889,plain,
    ( zero != meet(X,meet(complement(X),X_47))
    | meet(X,meet(complement(X),X_47)) = zero ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(zero)),bind(Y0,$fot(meet(X,meet(complement(X),X_47))))]]) ).

cnf(refute_0_1890,plain,
    meet(X,meet(complement(X),X_47)) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(X,meet(complement(X),X_47))) )],[refute_0_1888,refute_0_1889]) ).

cnf(refute_0_1891,plain,
    ( ifeq(join(X,meet(complement(X),X_47)),one,ifeq(meet(X,meet(complement(X),X_47)),zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) != meet(complement(X),X_47)
    | meet(X,meet(complement(X),X_47)) != zero
    | ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) = meet(complement(X),X_47) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(X,meet(complement(X),X_47)),one,ifeq(meet(X,meet(complement(X),X_47)),zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)),meet(complement(X),X_47)) ),[0,2,0],$fot(zero)]]) ).

cnf(refute_0_1892,plain,
    ( ifeq(join(X,meet(complement(X),X_47)),one,ifeq(meet(X,meet(complement(X),X_47)),zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) != meet(complement(X),X_47)
    | ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) = meet(complement(X),X_47) ),
    inference(resolve,[$cnf( $equal(meet(X,meet(complement(X),X_47)),zero) )],[refute_0_1890,refute_0_1891]) ).

cnf(refute_0_1893,plain,
    ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) = meet(complement(X),X_47),
    inference(resolve,[$cnf( $equal(ifeq(join(X,meet(complement(X),X_47)),one,ifeq(meet(X,meet(complement(X),X_47)),zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)),meet(complement(X),X_47)) )],[refute_0_1878,refute_0_1892]) ).

cnf(refute_0_1894,plain,
    ifeq(zero,zero,complement(X),meet(complement(X),X_47)) = complement(X),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(zero)),bind(B,$fot(complement(X))),bind(C,$fot(meet(complement(X),X_47)))]]) ).

cnf(refute_0_1895,plain,
    ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) = ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)),
    introduced(tautology,[refl,[$fot(ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)))]]) ).

cnf(refute_0_1896,plain,
    ( ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) != ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47))
    | ifeq(zero,zero,complement(X),meet(complement(X),X_47)) != complement(X)
    | ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) = ifeq(join(X,meet(complement(X),X_47)),one,complement(X),meet(complement(X),X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)),ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47))) ),[1,2],$fot(complement(X))]]) ).

cnf(refute_0_1897,plain,
    ( ifeq(zero,zero,complement(X),meet(complement(X),X_47)) != complement(X)
    | ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) = ifeq(join(X,meet(complement(X),X_47)),one,complement(X),meet(complement(X),X_47)) ),
    inference(resolve,[$cnf( $equal(ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)),ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47))) )],[refute_0_1895,refute_0_1896]) ).

cnf(refute_0_1898,plain,
    ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) = ifeq(join(X,meet(complement(X),X_47)),one,complement(X),meet(complement(X),X_47)),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(X),meet(complement(X),X_47)),complement(X)) )],[refute_0_1894,refute_0_1897]) ).

cnf(refute_0_1899,plain,
    ( ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) != ifeq(join(X,meet(complement(X),X_47)),one,complement(X),meet(complement(X),X_47))
    | ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) != meet(complement(X),X_47)
    | ifeq(join(X,meet(complement(X),X_47)),one,complement(X),meet(complement(X),X_47)) = meet(complement(X),X_47) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)),meet(complement(X),X_47)) ),[0],$fot(ifeq(join(X,meet(complement(X),X_47)),one,complement(X),meet(complement(X),X_47)))]]) ).

cnf(refute_0_1900,plain,
    ( ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)) != meet(complement(X),X_47)
    | ifeq(join(X,meet(complement(X),X_47)),one,complement(X),meet(complement(X),X_47)) = meet(complement(X),X_47) ),
    inference(resolve,[$cnf( $equal(ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)),ifeq(join(X,meet(complement(X),X_47)),one,complement(X),meet(complement(X),X_47))) )],[refute_0_1898,refute_0_1899]) ).

cnf(refute_0_1901,plain,
    ifeq(join(X,meet(complement(X),X_47)),one,complement(X),meet(complement(X),X_47)) = meet(complement(X),X_47),
    inference(resolve,[$cnf( $equal(ifeq(join(X,meet(complement(X),X_47)),one,ifeq(zero,zero,complement(X),meet(complement(X),X_47)),meet(complement(X),X_47)),meet(complement(X),X_47)) )],[refute_0_1893,refute_0_1900]) ).

cnf(refute_0_1902,plain,
    ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)) = meet(complement(join(a,X_400)),X_547),
    inference(subst,[],[refute_0_1901:[bind(X,$fot(join(a,X_400))),bind(X_47,$fot(X_547))]]) ).

cnf(refute_0_1903,plain,
    ifeq(join(meet(X_153,X_152),complement(meet(X_152,X_153))),one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) = complement(meet(X_152,X_153)),
    inference(subst,[],[refute_0_1290:[bind(X_34,$fot(meet(X_153,X_152))),bind(X_35,$fot(complement(meet(X_152,X_153))))]]) ).

cnf(refute_0_1904,plain,
    join(meet(X_15,X_115),complement(meet(X_115,meet(X_15,X_115)))) = one,
    inference(subst,[],[refute_0_1587:[bind(X_112,$fot(X_115)),bind(X_113,$fot(meet(X_15,X_115)))]]) ).

cnf(refute_0_1905,plain,
    meet(X_115,meet(X_15,X_115)) = meet(X_115,X_15),
    inference(subst,[],[refute_0_49:[bind(X_10,$fot(X_115))]]) ).

cnf(refute_0_1906,plain,
    ( join(meet(X_15,X_115),complement(meet(X_115,meet(X_15,X_115)))) != one
    | meet(X_115,meet(X_15,X_115)) != meet(X_115,X_15)
    | join(meet(X_15,X_115),complement(meet(X_115,X_15))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_15,X_115),complement(meet(X_115,meet(X_15,X_115)))),one) ),[0,1,0],$fot(meet(X_115,X_15))]]) ).

cnf(refute_0_1907,plain,
    ( join(meet(X_15,X_115),complement(meet(X_115,meet(X_15,X_115)))) != one
    | join(meet(X_15,X_115),complement(meet(X_115,X_15))) = one ),
    inference(resolve,[$cnf( $equal(meet(X_115,meet(X_15,X_115)),meet(X_115,X_15)) )],[refute_0_1905,refute_0_1906]) ).

cnf(refute_0_1908,plain,
    join(meet(X_15,X_115),complement(meet(X_115,X_15))) = one,
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_115),complement(meet(X_115,meet(X_15,X_115)))),one) )],[refute_0_1904,refute_0_1907]) ).

cnf(refute_0_1909,plain,
    join(meet(X_153,X_152),complement(meet(X_152,X_153))) = one,
    inference(subst,[],[refute_0_1908:[bind(X_115,$fot(X_152)),bind(X_15,$fot(X_153))]]) ).

cnf(refute_0_1910,plain,
    ( ifeq(join(meet(X_153,X_152),complement(meet(X_152,X_153))),one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) != complement(meet(X_152,X_153))
    | join(meet(X_153,X_152),complement(meet(X_152,X_153))) != one
    | ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) = complement(meet(X_152,X_153)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(meet(X_153,X_152),complement(meet(X_152,X_153))),one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) ),[0,0],$fot(one)]]) ).

cnf(refute_0_1911,plain,
    ( ifeq(join(meet(X_153,X_152),complement(meet(X_152,X_153))),one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) != complement(meet(X_152,X_153))
    | ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) = complement(meet(X_152,X_153)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_153,X_152),complement(meet(X_152,X_153))),one) )],[refute_0_1909,refute_0_1910]) ).

cnf(refute_0_1912,plain,
    ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) = complement(meet(X_152,X_153)),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(X_153,X_152),complement(meet(X_152,X_153))),one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) )],[refute_0_1903,refute_0_1911]) ).

cnf(refute_0_1913,plain,
    ifeq(zero,zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) = complement(meet(X_153,X_152)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(zero)),bind(B,$fot(complement(meet(X_153,X_152)))),bind(C,$fot(complement(meet(X_152,X_153))))]]) ).

cnf(refute_0_1914,plain,
    meet(X_152,meet(X_153,complement(meet(X_152,X_153)))) = zero,
    inference(subst,[],[refute_0_29:[bind(X_43,$fot(X_152)),bind(X_44,$fot(X_153))]]) ).

cnf(refute_0_1915,plain,
    meet(complement(meet(X_152,X_153)),meet(X_153,X_152)) = meet(X_152,meet(X_153,complement(meet(X_152,X_153)))),
    inference(subst,[],[refute_0_1006:[bind(X,$fot(X_152)),bind(X_43,$fot(X_153)),bind(X_44,$fot(complement(meet(X_152,X_153))))]]) ).

cnf(refute_0_1916,plain,
    ( meet(X_152,meet(X_153,complement(meet(X_152,X_153)))) != zero
    | meet(complement(meet(X_152,X_153)),meet(X_153,X_152)) != meet(X_152,meet(X_153,complement(meet(X_152,X_153))))
    | meet(complement(meet(X_152,X_153)),meet(X_153,X_152)) = zero ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)))),bind(Y0,$fot(meet(X_152,meet(X_153,complement(meet(X_152,X_153)))))),bind(Z0,$fot(zero))]]) ).

cnf(refute_0_1917,plain,
    ( meet(X_152,meet(X_153,complement(meet(X_152,X_153)))) != zero
    | meet(complement(meet(X_152,X_153)),meet(X_153,X_152)) = zero ),
    inference(resolve,[$cnf( $equal(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),meet(X_152,meet(X_153,complement(meet(X_152,X_153))))) )],[refute_0_1915,refute_0_1916]) ).

cnf(refute_0_1918,plain,
    meet(complement(meet(X_152,X_153)),meet(X_153,X_152)) = zero,
    inference(resolve,[$cnf( $equal(meet(X_152,meet(X_153,complement(meet(X_152,X_153)))),zero) )],[refute_0_1914,refute_0_1917]) ).

cnf(refute_0_1919,plain,
    ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) = ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),
    introduced(tautology,[refl,[$fot(ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))))]]) ).

cnf(refute_0_1920,plain,
    ( ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) != ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153)))
    | meet(complement(meet(X_152,X_153)),meet(X_153,X_152)) != zero
    | ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) = ifeq(zero,zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1921,plain,
    ( meet(complement(meet(X_152,X_153)),meet(X_153,X_152)) != zero
    | ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) = ifeq(zero,zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153)))) )],[refute_0_1919,refute_0_1920]) ).

cnf(refute_0_1922,plain,
    ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) = ifeq(zero,zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),
    inference(resolve,[$cnf( $equal(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero) )],[refute_0_1918,refute_0_1921]) ).

cnf(refute_0_1923,plain,
    ( ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) != ifeq(zero,zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153)))
    | ifeq(zero,zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) != complement(meet(X_153,X_152))
    | ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) = complement(meet(X_153,X_152)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))))),bind(Y0,$fot(ifeq(zero,zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))))),bind(Z0,$fot(complement(meet(X_153,X_152))))]]) ).

cnf(refute_0_1924,plain,
    ( ifeq(zero,zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) != complement(meet(X_153,X_152))
    | ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) = complement(meet(X_153,X_152)) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),ifeq(zero,zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153)))) )],[refute_0_1922,refute_0_1923]) ).

cnf(refute_0_1925,plain,
    ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) = complement(meet(X_153,X_152)),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_153,X_152))) )],[refute_0_1913,refute_0_1924]) ).

cnf(refute_0_1926,plain,
    ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) = ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(one)),bind(B,$fot(ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))))),bind(C,$fot(complement(meet(X_152,X_153))))]]) ).

cnf(refute_0_1927,plain,
    ( ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) != complement(meet(X_153,X_152))
    | ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) != ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153)))
    | ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) = complement(meet(X_153,X_152)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))))),bind(Y0,$fot(ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))))),bind(Z0,$fot(complement(meet(X_153,X_152))))]]) ).

cnf(refute_0_1928,plain,
    ( ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) != complement(meet(X_153,X_152))
    | ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) = complement(meet(X_153,X_152)) ),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))),ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153)))) )],[refute_0_1926,refute_0_1927]) ).

cnf(refute_0_1929,plain,
    ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) = complement(meet(X_153,X_152)),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_153,X_152))) )],[refute_0_1925,refute_0_1928]) ).

cnf(refute_0_1930,plain,
    ( ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) != complement(meet(X_152,X_153))
    | ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) != complement(meet(X_153,X_152))
    | complement(meet(X_153,X_152)) = complement(meet(X_152,X_153)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) ),[0],$fot(complement(meet(X_153,X_152)))]]) ).

cnf(refute_0_1931,plain,
    ( ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) != complement(meet(X_152,X_153))
    | complement(meet(X_153,X_152)) = complement(meet(X_152,X_153)) ),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))),complement(meet(X_153,X_152))) )],[refute_0_1929,refute_0_1930]) ).

cnf(refute_0_1932,plain,
    complement(meet(X_153,X_152)) = complement(meet(X_152,X_153)),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(meet(complement(meet(X_152,X_153)),meet(X_153,X_152)),zero,complement(meet(X_153,X_152)),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))),complement(meet(X_152,X_153))) )],[refute_0_1912,refute_0_1931]) ).

cnf(refute_0_1933,plain,
    complement(meet(join(a,X_400),join(X_400,b))) = complement(meet(join(X_400,b),join(a,X_400))),
    inference(subst,[],[refute_0_1932:[bind(X_152,$fot(join(X_400,b))),bind(X_153,$fot(join(a,X_400)))]]) ).

cnf(refute_0_1934,plain,
    join(meet(join(X_253,b),join(a,X_253)),meet(join(a,X_253),join(X_253,b))) = meet(join(X_253,b),join(a,X_253)),
    inference(subst,[],[refute_0_889:[bind(X_15,$fot(join(X_253,b))),bind(X_28,$fot(join(a,X_253)))]]) ).

cnf(refute_0_1935,plain,
    ( join(meet(join(X_253,b),join(a,X_253)),meet(join(a,X_253),join(X_253,b))) != meet(join(X_253,b),join(a,X_253))
    | meet(join(a,X_253),join(X_253,b)) != join(X_253,a)
    | join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) = meet(join(X_253,b),join(a,X_253)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_253,b),join(a,X_253)),meet(join(a,X_253),join(X_253,b))),meet(join(X_253,b),join(a,X_253))) ),[0,1],$fot(join(X_253,a))]]) ).

cnf(refute_0_1936,plain,
    ( join(meet(join(X_253,b),join(a,X_253)),meet(join(a,X_253),join(X_253,b))) != meet(join(X_253,b),join(a,X_253))
    | join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) = meet(join(X_253,b),join(a,X_253)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_253),join(X_253,b)),join(X_253,a)) )],[refute_0_722,refute_0_1935]) ).

cnf(refute_0_1937,plain,
    join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) = meet(join(X_253,b),join(a,X_253)),
    inference(resolve,[$cnf( $equal(join(meet(join(X_253,b),join(a,X_253)),meet(join(a,X_253),join(X_253,b))),meet(join(X_253,b),join(a,X_253))) )],[refute_0_1934,refute_0_1936]) ).

cnf(refute_0_1938,plain,
    join(join(X_31,X_32),meet(Y,join(X_31,X_32))) = join(X_31,X_32),
    inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_31,X_32)))]]) ).

cnf(refute_0_1939,plain,
    join(join(X_31,X_32),meet(Y,join(X_31,X_32))) = join(X_31,join(X_32,meet(Y,join(X_31,X_32)))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_31)),bind(Y,$fot(X_32)),bind(Z,$fot(meet(Y,join(X_31,X_32))))]]) ).

cnf(refute_0_1940,plain,
    ( join(join(X_31,X_32),meet(Y,join(X_31,X_32))) != join(X_31,X_32)
    | join(join(X_31,X_32),meet(Y,join(X_31,X_32))) != join(X_31,join(X_32,meet(Y,join(X_31,X_32))))
    | join(X_31,join(X_32,meet(Y,join(X_31,X_32)))) = join(X_31,X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_31,X_32),meet(Y,join(X_31,X_32))),join(X_31,X_32)) ),[0],$fot(join(X_31,join(X_32,meet(Y,join(X_31,X_32)))))]]) ).

cnf(refute_0_1941,plain,
    ( join(join(X_31,X_32),meet(Y,join(X_31,X_32))) != join(X_31,X_32)
    | join(X_31,join(X_32,meet(Y,join(X_31,X_32)))) = join(X_31,X_32) ),
    inference(resolve,[$cnf( $equal(join(join(X_31,X_32),meet(Y,join(X_31,X_32))),join(X_31,join(X_32,meet(Y,join(X_31,X_32))))) )],[refute_0_1939,refute_0_1940]) ).

cnf(refute_0_1942,plain,
    join(X_31,join(X_32,meet(Y,join(X_31,X_32)))) = join(X_31,X_32),
    inference(resolve,[$cnf( $equal(join(join(X_31,X_32),meet(Y,join(X_31,X_32))),join(X_31,X_32)) )],[refute_0_1938,refute_0_1941]) ).

cnf(refute_0_1943,plain,
    join(a,join(X_253,meet(join(X_253,b),join(a,X_253)))) = join(a,X_253),
    inference(subst,[],[refute_0_1942:[bind(Y,$fot(join(X_253,b))),bind(X_31,$fot(a)),bind(X_32,$fot(X_253))]]) ).

cnf(refute_0_1944,plain,
    join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) = join(a,join(X_253,meet(join(X_253,b),join(a,X_253)))),
    inference(subst,[],[refute_0_307:[bind(Y,$fot(a)),bind(X_154,$fot(meet(join(X_253,b),join(a,X_253)))),bind(X_155,$fot(X_253))]]) ).

cnf(refute_0_1945,plain,
    ( join(a,join(X_253,meet(join(X_253,b),join(a,X_253)))) != join(a,X_253)
    | join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) != join(a,join(X_253,meet(join(X_253,b),join(a,X_253))))
    | join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) = join(a,X_253) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)))),bind(Y0,$fot(join(a,join(X_253,meet(join(X_253,b),join(a,X_253)))))),bind(Z0,$fot(join(a,X_253)))]]) ).

cnf(refute_0_1946,plain,
    ( join(a,join(X_253,meet(join(X_253,b),join(a,X_253)))) != join(a,X_253)
    | join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) = join(a,X_253) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)),join(a,join(X_253,meet(join(X_253,b),join(a,X_253))))) )],[refute_0_1944,refute_0_1945]) ).

cnf(refute_0_1947,plain,
    join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) = join(a,X_253),
    inference(resolve,[$cnf( $equal(join(a,join(X_253,meet(join(X_253,b),join(a,X_253)))),join(a,X_253)) )],[refute_0_1943,refute_0_1946]) ).

cnf(refute_0_1948,plain,
    ( join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) != join(a,X_253)
    | join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) != meet(join(X_253,b),join(a,X_253))
    | join(a,X_253) = meet(join(X_253,b),join(a,X_253)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)),meet(join(X_253,b),join(a,X_253))) ),[0],$fot(join(a,X_253))]]) ).

cnf(refute_0_1949,plain,
    ( join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)) != meet(join(X_253,b),join(a,X_253))
    | join(a,X_253) = meet(join(X_253,b),join(a,X_253)) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)),join(a,X_253)) )],[refute_0_1947,refute_0_1948]) ).

cnf(refute_0_1950,plain,
    join(a,X_253) = meet(join(X_253,b),join(a,X_253)),
    inference(resolve,[$cnf( $equal(join(meet(join(X_253,b),join(a,X_253)),join(X_253,a)),meet(join(X_253,b),join(a,X_253))) )],[refute_0_1937,refute_0_1949]) ).

cnf(refute_0_1951,plain,
    join(a,X_400) = meet(join(X_400,b),join(a,X_400)),
    inference(subst,[],[refute_0_1950:[bind(X_253,$fot(X_400))]]) ).

cnf(refute_0_1952,plain,
    ( join(a,X_400) != meet(join(X_400,b),join(a,X_400))
    | meet(join(X_400,b),join(a,X_400)) = join(a,X_400) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(a,X_400))),bind(Y0,$fot(meet(join(X_400,b),join(a,X_400))))]]) ).

cnf(refute_0_1953,plain,
    meet(join(X_400,b),join(a,X_400)) = join(a,X_400),
    inference(resolve,[$cnf( $equal(join(a,X_400),meet(join(X_400,b),join(a,X_400))) )],[refute_0_1951,refute_0_1952]) ).

cnf(refute_0_1954,plain,
    ( complement(meet(join(a,X_400),join(X_400,b))) != complement(meet(join(X_400,b),join(a,X_400)))
    | meet(join(X_400,b),join(a,X_400)) != join(a,X_400)
    | complement(meet(join(a,X_400),join(X_400,b))) = complement(join(a,X_400)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(a,X_400),join(X_400,b))),complement(meet(join(X_400,b),join(a,X_400)))) ),[1,0],$fot(join(a,X_400))]]) ).

cnf(refute_0_1955,plain,
    ( complement(meet(join(a,X_400),join(X_400,b))) != complement(meet(join(X_400,b),join(a,X_400)))
    | complement(meet(join(a,X_400),join(X_400,b))) = complement(join(a,X_400)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_400,b),join(a,X_400)),join(a,X_400)) )],[refute_0_1953,refute_0_1954]) ).

cnf(refute_0_1956,plain,
    complement(meet(join(a,X_400),join(X_400,b))) = complement(join(a,X_400)),
    inference(resolve,[$cnf( $equal(complement(meet(join(a,X_400),join(X_400,b))),complement(meet(join(X_400,b),join(a,X_400)))) )],[refute_0_1933,refute_0_1955]) ).

cnf(refute_0_1957,plain,
    meet(join(a,X_400),join(X_400,b)) = join(X_400,a),
    inference(subst,[],[refute_0_717:[bind(X_252,$fot(X_400))]]) ).

cnf(refute_0_1958,plain,
    complement(meet(join(a,X_400),join(X_400,b))) = complement(meet(join(a,X_400),join(X_400,b))),
    introduced(tautology,[refl,[$fot(complement(meet(join(a,X_400),join(X_400,b))))]]) ).

cnf(refute_0_1959,plain,
    ( complement(meet(join(a,X_400),join(X_400,b))) != complement(meet(join(a,X_400),join(X_400,b)))
    | meet(join(a,X_400),join(X_400,b)) != join(X_400,a)
    | complement(meet(join(a,X_400),join(X_400,b))) = complement(join(X_400,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(a,X_400),join(X_400,b))),complement(meet(join(a,X_400),join(X_400,b)))) ),[1,0],$fot(join(X_400,a))]]) ).

cnf(refute_0_1960,plain,
    ( meet(join(a,X_400),join(X_400,b)) != join(X_400,a)
    | complement(meet(join(a,X_400),join(X_400,b))) = complement(join(X_400,a)) ),
    inference(resolve,[$cnf( $equal(complement(meet(join(a,X_400),join(X_400,b))),complement(meet(join(a,X_400),join(X_400,b)))) )],[refute_0_1958,refute_0_1959]) ).

cnf(refute_0_1961,plain,
    complement(meet(join(a,X_400),join(X_400,b))) = complement(join(X_400,a)),
    inference(resolve,[$cnf( $equal(meet(join(a,X_400),join(X_400,b)),join(X_400,a)) )],[refute_0_1957,refute_0_1960]) ).

cnf(refute_0_1962,plain,
    ( complement(meet(join(a,X_400),join(X_400,b))) != complement(join(X_400,a))
    | complement(meet(join(a,X_400),join(X_400,b))) != complement(join(a,X_400))
    | complement(join(X_400,a)) = complement(join(a,X_400)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(a,X_400),join(X_400,b))),complement(join(a,X_400))) ),[0],$fot(complement(join(X_400,a)))]]) ).

cnf(refute_0_1963,plain,
    ( complement(meet(join(a,X_400),join(X_400,b))) != complement(join(a,X_400))
    | complement(join(X_400,a)) = complement(join(a,X_400)) ),
    inference(resolve,[$cnf( $equal(complement(meet(join(a,X_400),join(X_400,b))),complement(join(X_400,a))) )],[refute_0_1961,refute_0_1962]) ).

cnf(refute_0_1964,plain,
    complement(join(X_400,a)) = complement(join(a,X_400)),
    inference(resolve,[$cnf( $equal(complement(meet(join(a,X_400),join(X_400,b))),complement(join(a,X_400))) )],[refute_0_1956,refute_0_1963]) ).

cnf(refute_0_1965,plain,
    ( complement(join(X_400,a)) != complement(join(a,X_400))
    | complement(join(a,X_400)) = complement(join(X_400,a)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(complement(join(X_400,a)))),bind(Y0,$fot(complement(join(a,X_400))))]]) ).

cnf(refute_0_1966,plain,
    complement(join(a,X_400)) = complement(join(X_400,a)),
    inference(resolve,[$cnf( $equal(complement(join(X_400,a)),complement(join(a,X_400))) )],[refute_0_1964,refute_0_1965]) ).

cnf(refute_0_1967,plain,
    ( complement(join(a,X_400)) != complement(join(X_400,a))
    | ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)) != meet(complement(join(a,X_400)),X_547)
    | ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)) = meet(complement(join(X_400,a)),X_547) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)),meet(complement(join(a,X_400)),X_547)) ),[1,0],$fot(complement(join(X_400,a)))]]) ).

cnf(refute_0_1968,plain,
    ( ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)) != meet(complement(join(a,X_400)),X_547)
    | ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)) = meet(complement(join(X_400,a)),X_547) ),
    inference(resolve,[$cnf( $equal(complement(join(a,X_400)),complement(join(X_400,a))) )],[refute_0_1966,refute_0_1967]) ).

cnf(refute_0_1969,plain,
    ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)) = meet(complement(join(X_400,a)),X_547),
    inference(resolve,[$cnf( $equal(ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)),meet(complement(join(a,X_400)),X_547)) )],[refute_0_1902,refute_0_1968]) ).

cnf(refute_0_1970,plain,
    ( ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)) != meet(complement(join(X_400,a)),X_547)
    | ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)) != meet(complement(join(a,X_400)),X_547)
    | meet(complement(join(a,X_400)),X_547) = meet(complement(join(X_400,a)),X_547) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)),meet(complement(join(X_400,a)),X_547)) ),[0],$fot(meet(complement(join(a,X_400)),X_547))]]) ).

cnf(refute_0_1971,plain,
    ( ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)) != meet(complement(join(X_400,a)),X_547)
    | meet(complement(join(a,X_400)),X_547) = meet(complement(join(X_400,a)),X_547) ),
    inference(resolve,[$cnf( $equal(ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)),meet(complement(join(a,X_400)),X_547)) )],[refute_0_1902,refute_0_1970]) ).

cnf(refute_0_1972,plain,
    meet(complement(join(a,X_400)),X_547) = meet(complement(join(X_400,a)),X_547),
    inference(resolve,[$cnf( $equal(ifeq(join(join(a,X_400),meet(complement(join(a,X_400)),X_547)),one,complement(join(a,X_400)),meet(complement(join(a,X_400)),X_547)),meet(complement(join(X_400,a)),X_547)) )],[refute_0_1969,refute_0_1971]) ).

cnf(refute_0_1973,plain,
    meet(complement(join(a,X_400)),b) = meet(complement(join(X_400,a)),b),
    inference(subst,[],[refute_0_1972:[bind(X_547,$fot(b))]]) ).

cnf(refute_0_1974,plain,
    ( ifeq(meet(complement(join(a,X_400)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != meet(complement(join(a,X_400)),b)
    | meet(complement(join(a,X_400)),b) != meet(complement(join(X_400,a)),b)
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = meet(complement(join(a,X_400)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(complement(join(a,X_400)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) ),[0,0],$fot(meet(complement(join(X_400,a)),b))]]) ).

cnf(refute_0_1975,plain,
    ( ifeq(meet(complement(join(a,X_400)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != meet(complement(join(a,X_400)),b)
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = meet(complement(join(a,X_400)),b) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,X_400)),b),meet(complement(join(X_400,a)),b)) )],[refute_0_1973,refute_0_1974]) ).

cnf(refute_0_1976,plain,
    ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = meet(complement(join(a,X_400)),b),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(a,X_400)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) )],[refute_0_1877,refute_0_1975]) ).

cnf(refute_0_1977,plain,
    ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(X_400,a)),b)) = meet(complement(join(X_400,a)),b),
    inference(subst,[],[refute_0_1876:[bind(X_59,$fot(complement(join(X_400,a))))]]) ).

cnf(refute_0_1978,plain,
    ( meet(complement(join(a,X_400)),b) != meet(complement(join(X_400,a)),b)
    | meet(complement(join(X_400,a)),b) = meet(complement(join(a,X_400)),b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(complement(join(a,X_400)),b))),bind(Y0,$fot(meet(complement(join(X_400,a)),b)))]]) ).

cnf(refute_0_1979,plain,
    meet(complement(join(X_400,a)),b) = meet(complement(join(a,X_400)),b),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,X_400)),b),meet(complement(join(X_400,a)),b)) )],[refute_0_1973,refute_0_1978]) ).

cnf(refute_0_1980,plain,
    ( ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(X_400,a)),b)) != meet(complement(join(X_400,a)),b)
    | meet(complement(join(X_400,a)),b) != meet(complement(join(a,X_400)),b)
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = meet(complement(join(X_400,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(X_400,a)),b)),meet(complement(join(X_400,a)),b)) ),[0,3],$fot(meet(complement(join(a,X_400)),b))]]) ).

cnf(refute_0_1981,plain,
    ( ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(X_400,a)),b)) != meet(complement(join(X_400,a)),b)
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = meet(complement(join(X_400,a)),b) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(X_400,a)),b),meet(complement(join(a,X_400)),b)) )],[refute_0_1979,refute_0_1980]) ).

cnf(refute_0_1982,plain,
    ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = meet(complement(join(X_400,a)),b),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(X_400,a)),b)),meet(complement(join(X_400,a)),b)) )],[refute_0_1977,refute_0_1981]) ).

cnf(refute_0_1983,plain,
    meet(complement(join(a,X_400)),b) = meet(b,complement(join(a,X_400))),
    inference(subst,[],[refute_0_1721:[bind(X_583,$fot(complement(join(a,X_400))))]]) ).

cnf(refute_0_1984,plain,
    ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)),
    introduced(tautology,[refl,[$fot(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)))]]) ).

cnf(refute_0_1985,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b))
    | meet(complement(join(a,X_400)),b) != meet(b,complement(join(a,X_400)))
    | ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b))) ),[1,3],$fot(meet(b,complement(join(a,X_400))))]]) ).

cnf(refute_0_1986,plain,
    ( meet(complement(join(a,X_400)),b) != meet(b,complement(join(a,X_400)))
    | ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b))) )],[refute_0_1984,refute_0_1985]) ).

cnf(refute_0_1987,plain,
    ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,X_400)),b),meet(b,complement(join(a,X_400)))) )],[refute_0_1983,refute_0_1986]) ).

cnf(refute_0_1988,plain,
    ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))) = one,
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(zero)),bind(B,$fot(one)),bind(C,$fot(meet(b,complement(join(X_400,a)))))]]) ).

cnf(refute_0_1989,plain,
    meet(complement(join(X_400,a)),b) = meet(b,complement(join(X_400,a))),
    inference(subst,[],[refute_0_1721:[bind(X_583,$fot(complement(join(X_400,a))))]]) ).

cnf(refute_0_1990,plain,
    ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)),
    introduced(tautology,[refl,[$fot(ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)))]]) ).

cnf(refute_0_1991,plain,
    ( ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)) != ifeq(zero,zero,one,meet(complement(join(X_400,a)),b))
    | meet(complement(join(X_400,a)),b) != meet(b,complement(join(X_400,a)))
    | ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)),ifeq(zero,zero,one,meet(complement(join(X_400,a)),b))) ),[1,3],$fot(meet(b,complement(join(X_400,a))))]]) ).

cnf(refute_0_1992,plain,
    ( meet(complement(join(X_400,a)),b) != meet(b,complement(join(X_400,a)))
    | ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))) ),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)),ifeq(zero,zero,one,meet(complement(join(X_400,a)),b))) )],[refute_0_1990,refute_0_1991]) ).

cnf(refute_0_1993,plain,
    ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))),
    inference(resolve,[$cnf( $equal(meet(complement(join(X_400,a)),b),meet(b,complement(join(X_400,a)))) )],[refute_0_1989,refute_0_1992]) ).

cnf(refute_0_1994,plain,
    join(zero,complement(zero)) = one,
    inference(subst,[],[complement_join:[bind(X,$fot(zero))]]) ).

cnf(refute_0_1995,plain,
    join(zero,complement(zero)) = complement(zero),
    inference(subst,[],[refute_0_1415:[bind(Y,$fot(complement(zero)))]]) ).

cnf(refute_0_1996,plain,
    ( join(zero,complement(zero)) != complement(zero)
    | join(zero,complement(zero)) != one
    | complement(zero) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(zero)),one) ),[0],$fot(complement(zero))]]) ).

cnf(refute_0_1997,plain,
    ( join(zero,complement(zero)) != one
    | complement(zero) = one ),
    inference(resolve,[$cnf( $equal(join(zero,complement(zero)),complement(zero)) )],[refute_0_1995,refute_0_1996]) ).

cnf(refute_0_1998,plain,
    complement(zero) = one,
    inference(resolve,[$cnf( $equal(join(zero,complement(zero)),one) )],[refute_0_1994,refute_0_1997]) ).

cnf(refute_0_1999,plain,
    meet(a,complement(join(X_400,a))) = zero,
    inference(subst,[],[refute_0_1535:[bind(X_139,$fot(X_400)),bind(X_140,$fot(a))]]) ).

cnf(refute_0_2000,plain,
    complement(meet(a,complement(join(X_400,a)))) = complement(meet(a,complement(join(X_400,a)))),
    introduced(tautology,[refl,[$fot(complement(meet(a,complement(join(X_400,a)))))]]) ).

cnf(refute_0_2001,plain,
    ( complement(meet(a,complement(join(X_400,a)))) != complement(meet(a,complement(join(X_400,a))))
    | meet(a,complement(join(X_400,a))) != zero
    | complement(meet(a,complement(join(X_400,a)))) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(a,complement(join(X_400,a)))),complement(meet(a,complement(join(X_400,a))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2002,plain,
    ( meet(a,complement(join(X_400,a))) != zero
    | complement(meet(a,complement(join(X_400,a)))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(complement(meet(a,complement(join(X_400,a)))),complement(meet(a,complement(join(X_400,a))))) )],[refute_0_2000,refute_0_2001]) ).

cnf(refute_0_2003,plain,
    complement(meet(a,complement(join(X_400,a)))) = complement(zero),
    inference(resolve,[$cnf( $equal(meet(a,complement(join(X_400,a))),zero) )],[refute_0_1999,refute_0_2002]) ).

cnf(refute_0_2004,plain,
    ( complement(meet(a,complement(join(X_400,a)))) != complement(zero)
    | complement(zero) != one
    | complement(meet(a,complement(join(X_400,a)))) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(complement(meet(a,complement(join(X_400,a)))))),bind(Y0,$fot(complement(zero))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_2005,plain,
    ( complement(zero) != one
    | complement(meet(a,complement(join(X_400,a)))) = one ),
    inference(resolve,[$cnf( $equal(complement(meet(a,complement(join(X_400,a)))),complement(zero)) )],[refute_0_2003,refute_0_2004]) ).

cnf(refute_0_2006,plain,
    complement(meet(a,complement(join(X_400,a)))) = one,
    inference(resolve,[$cnf( $equal(complement(zero),one) )],[refute_0_1998,refute_0_2005]) ).

cnf(refute_0_2007,plain,
    ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),
    introduced(tautology,[refl,[$fot(ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)))]]) ).

cnf(refute_0_2008,plain,
    ( complement(meet(a,complement(join(X_400,a)))) != one
    | ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) != ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b))
    | ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b))) ),[1,2],$fot(one)]]) ).

cnf(refute_0_2009,plain,
    ( complement(meet(a,complement(join(X_400,a)))) != one
    | ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)) ),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b))) )],[refute_0_2007,refute_0_2008]) ).

cnf(refute_0_2010,plain,
    ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)),
    inference(resolve,[$cnf( $equal(complement(meet(a,complement(join(X_400,a)))),one) )],[refute_0_2006,refute_0_2009]) ).

cnf(refute_0_2011,plain,
    ( ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) != ifeq(zero,zero,one,meet(complement(join(X_400,a)),b))
    | ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)) != ifeq(zero,zero,one,meet(b,complement(join(X_400,a))))
    | ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)))),bind(Y0,$fot(ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)))),bind(Z0,$fot(ifeq(zero,zero,one,meet(b,complement(join(X_400,a))))))]]) ).

cnf(refute_0_2012,plain,
    ( ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)) != ifeq(zero,zero,one,meet(b,complement(join(X_400,a))))
    | ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))) ),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),ifeq(zero,zero,one,meet(complement(join(X_400,a)),b))) )],[refute_0_2010,refute_0_2011]) ).

cnf(refute_0_2013,plain,
    ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,one,meet(complement(join(X_400,a)),b)),ifeq(zero,zero,one,meet(b,complement(join(X_400,a))))) )],[refute_0_1993,refute_0_2012]) ).

cnf(refute_0_2014,plain,
    ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),
    introduced(tautology,[refl,[$fot(ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)))]]) ).

cnf(refute_0_2015,plain,
    ( ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) != ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b))
    | meet(a,complement(join(X_400,a))) != zero
    | ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2016,plain,
    ( meet(a,complement(join(X_400,a))) != zero
    | ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b))) )],[refute_0_2014,refute_0_2015]) ).

cnf(refute_0_2017,plain,
    ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),
    inference(resolve,[$cnf( $equal(meet(a,complement(join(X_400,a))),zero) )],[refute_0_1999,refute_0_2016]) ).

cnf(refute_0_2018,plain,
    ( ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) != ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b))
    | ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) != ifeq(zero,zero,one,meet(b,complement(join(X_400,a))))
    | ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)))),bind(Y0,$fot(ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)))),bind(Z0,$fot(ifeq(zero,zero,one,meet(b,complement(join(X_400,a))))))]]) ).

cnf(refute_0_2019,plain,
    ( ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) != ifeq(zero,zero,one,meet(b,complement(join(X_400,a))))
    | ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b))) )],[refute_0_2017,refute_0_2018]) ).

cnf(refute_0_2020,plain,
    ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),ifeq(zero,zero,one,meet(b,complement(join(X_400,a))))) )],[refute_0_2013,refute_0_2019]) ).

cnf(refute_0_2021,plain,
    ( ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) != ifeq(zero,zero,one,meet(b,complement(join(X_400,a))))
    | ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))) != one
    | ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)))),bind(Y0,$fot(ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_2022,plain,
    ( ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))) != one
    | ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = one ),
    inference(resolve,[$cnf( $equal(ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),ifeq(zero,zero,one,meet(b,complement(join(X_400,a))))) )],[refute_0_2020,refute_0_2021]) ).

cnf(refute_0_2023,plain,
    ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) = one,
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,one,meet(b,complement(join(X_400,a)))),one) )],[refute_0_1988,refute_0_2022]) ).

cnf(refute_0_2024,plain,
    ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),
    introduced(tautology,[refl,[$fot(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)))]]) ).

cnf(refute_0_2025,plain,
    ( ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) != one
    | ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b))
    | ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b))) ),[1,2],$fot(one)]]) ).

cnf(refute_0_2026,plain,
    ( ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)) != one
    | ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b))) )],[refute_0_2024,refute_0_2025]) ).

cnf(refute_0_2027,plain,
    ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)),
    inference(resolve,[$cnf( $equal(ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),one) )],[refute_0_2023,refute_0_2026]) ).

cnf(refute_0_2028,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b))
    | ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)))),bind(Y0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)))),bind(Z0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))))]]) ).

cnf(refute_0_2029,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b))) )],[refute_0_2027,refute_0_2028]) ).

cnf(refute_0_2030,plain,
    ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))) )],[refute_0_1987,refute_0_2029]) ).

cnf(refute_0_2031,plain,
    ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),
    introduced(tautology,[refl,[$fot(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)))]]) ).

cnf(refute_0_2032,plain,
    ( ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b))
    | meet(complement(join(X_400,a)),b) != meet(b,complement(join(X_400,a)))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b))) ),[1,0],$fot(meet(b,complement(join(X_400,a))))]]) ).

cnf(refute_0_2033,plain,
    ( meet(complement(join(X_400,a)),b) != meet(b,complement(join(X_400,a)))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b))) )],[refute_0_2031,refute_0_2032]) ).

cnf(refute_0_2034,plain,
    ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),
    inference(resolve,[$cnf( $equal(meet(complement(join(X_400,a)),b),meet(b,complement(join(X_400,a)))) )],[refute_0_1989,refute_0_2033]) ).

cnf(refute_0_2035,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)))),bind(Y0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)))),bind(Z0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))))]]) ).

cnf(refute_0_2036,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b))) )],[refute_0_2034,refute_0_2035]) ).

cnf(refute_0_2037,plain,
    ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))) )],[refute_0_2030,refute_0_2036]) ).

cnf(refute_0_2038,plain,
    ( ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) != meet(complement(join(X_400,a)),b)
    | ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) = meet(complement(join(X_400,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),meet(complement(join(X_400,a)),b)) ),[0],$fot(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))))]]) ).

cnf(refute_0_2039,plain,
    ( ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) != meet(complement(join(X_400,a)),b)
    | ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) = meet(complement(join(X_400,a)),b) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))) )],[refute_0_2037,refute_0_2038]) ).

cnf(refute_0_2040,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) != meet(complement(join(X_400,a)),b)
    | meet(complement(join(X_400,a)),b) != meet(b,complement(join(X_400,a)))
    | ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) = meet(b,complement(join(X_400,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))),meet(b,complement(join(X_400,a)))) ),[0],$fot(meet(complement(join(X_400,a)),b))]]) ).

cnf(refute_0_2041,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) != meet(complement(join(X_400,a)),b)
    | ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) = meet(b,complement(join(X_400,a))) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(X_400,a)),b),meet(b,complement(join(X_400,a)))) )],[refute_0_1989,refute_0_2040]) ).

cnf(refute_0_2042,plain,
    ( ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)) != meet(complement(join(X_400,a)),b)
    | ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) = meet(b,complement(join(X_400,a))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))),meet(complement(join(X_400,a)),b)) )],[refute_0_2039,refute_0_2041]) ).

cnf(refute_0_2043,plain,
    ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) = meet(b,complement(join(X_400,a))),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(X_400,a))),zero,complement(meet(a,complement(join(X_400,a)))),meet(complement(join(X_400,a)),b)),meet(complement(join(a,X_400)),b)),meet(complement(join(X_400,a)),b)) )],[refute_0_1982,refute_0_2042]) ).

cnf(refute_0_2044,plain,
    ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))) = one,
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(zero)),bind(B,$fot(one)),bind(C,$fot(meet(b,complement(join(a,X_400)))))]]) ).

cnf(refute_0_2045,plain,
    ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)),
    introduced(tautology,[refl,[$fot(ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)))]]) ).

cnf(refute_0_2046,plain,
    ( ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)) != ifeq(zero,zero,one,meet(complement(join(a,X_400)),b))
    | meet(complement(join(a,X_400)),b) != meet(b,complement(join(a,X_400)))
    | ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)),ifeq(zero,zero,one,meet(complement(join(a,X_400)),b))) ),[1,3],$fot(meet(b,complement(join(a,X_400))))]]) ).

cnf(refute_0_2047,plain,
    ( meet(complement(join(a,X_400)),b) != meet(b,complement(join(a,X_400)))
    | ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))) ),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)),ifeq(zero,zero,one,meet(complement(join(a,X_400)),b))) )],[refute_0_2045,refute_0_2046]) ).

cnf(refute_0_2048,plain,
    ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,X_400)),b),meet(b,complement(join(a,X_400)))) )],[refute_0_1983,refute_0_2047]) ).

cnf(refute_0_2049,plain,
    meet(a,complement(join(a,X_400))) = zero,
    inference(subst,[],[refute_0_1528:[bind(X_136,$fot(X_400)),bind(X_137,$fot(a))]]) ).

cnf(refute_0_2050,plain,
    complement(meet(a,complement(join(a,X_400)))) = complement(meet(a,complement(join(a,X_400)))),
    introduced(tautology,[refl,[$fot(complement(meet(a,complement(join(a,X_400)))))]]) ).

cnf(refute_0_2051,plain,
    ( complement(meet(a,complement(join(a,X_400)))) != complement(meet(a,complement(join(a,X_400))))
    | meet(a,complement(join(a,X_400))) != zero
    | complement(meet(a,complement(join(a,X_400)))) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(a,complement(join(a,X_400)))),complement(meet(a,complement(join(a,X_400))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2052,plain,
    ( meet(a,complement(join(a,X_400))) != zero
    | complement(meet(a,complement(join(a,X_400)))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(complement(meet(a,complement(join(a,X_400)))),complement(meet(a,complement(join(a,X_400))))) )],[refute_0_2050,refute_0_2051]) ).

cnf(refute_0_2053,plain,
    complement(meet(a,complement(join(a,X_400)))) = complement(zero),
    inference(resolve,[$cnf( $equal(meet(a,complement(join(a,X_400))),zero) )],[refute_0_2049,refute_0_2052]) ).

cnf(refute_0_2054,plain,
    ( complement(meet(a,complement(join(a,X_400)))) != complement(zero)
    | complement(zero) != one
    | complement(meet(a,complement(join(a,X_400)))) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(complement(meet(a,complement(join(a,X_400)))))),bind(Y0,$fot(complement(zero))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_2055,plain,
    ( complement(zero) != one
    | complement(meet(a,complement(join(a,X_400)))) = one ),
    inference(resolve,[$cnf( $equal(complement(meet(a,complement(join(a,X_400)))),complement(zero)) )],[refute_0_2053,refute_0_2054]) ).

cnf(refute_0_2056,plain,
    complement(meet(a,complement(join(a,X_400)))) = one,
    inference(resolve,[$cnf( $equal(complement(zero),one) )],[refute_0_1998,refute_0_2055]) ).

cnf(refute_0_2057,plain,
    ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),
    introduced(tautology,[refl,[$fot(ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)))]]) ).

cnf(refute_0_2058,plain,
    ( complement(meet(a,complement(join(a,X_400)))) != one
    | ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) != ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b))
    | ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b))) ),[1,2],$fot(one)]]) ).

cnf(refute_0_2059,plain,
    ( complement(meet(a,complement(join(a,X_400)))) != one
    | ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)) ),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b))) )],[refute_0_2057,refute_0_2058]) ).

cnf(refute_0_2060,plain,
    ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)),
    inference(resolve,[$cnf( $equal(complement(meet(a,complement(join(a,X_400)))),one) )],[refute_0_2056,refute_0_2059]) ).

cnf(refute_0_2061,plain,
    ( ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) != ifeq(zero,zero,one,meet(complement(join(a,X_400)),b))
    | ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)) != ifeq(zero,zero,one,meet(b,complement(join(a,X_400))))
    | ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)))),bind(Y0,$fot(ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)))),bind(Z0,$fot(ifeq(zero,zero,one,meet(b,complement(join(a,X_400))))))]]) ).

cnf(refute_0_2062,plain,
    ( ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)) != ifeq(zero,zero,one,meet(b,complement(join(a,X_400))))
    | ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))) ),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),ifeq(zero,zero,one,meet(complement(join(a,X_400)),b))) )],[refute_0_2060,refute_0_2061]) ).

cnf(refute_0_2063,plain,
    ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,one,meet(complement(join(a,X_400)),b)),ifeq(zero,zero,one,meet(b,complement(join(a,X_400))))) )],[refute_0_2048,refute_0_2062]) ).

cnf(refute_0_2064,plain,
    ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),
    introduced(tautology,[refl,[$fot(ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)))]]) ).

cnf(refute_0_2065,plain,
    ( ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) != ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b))
    | meet(a,complement(join(a,X_400))) != zero
    | ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2066,plain,
    ( meet(a,complement(join(a,X_400))) != zero
    | ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b))) )],[refute_0_2064,refute_0_2065]) ).

cnf(refute_0_2067,plain,
    ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),
    inference(resolve,[$cnf( $equal(meet(a,complement(join(a,X_400))),zero) )],[refute_0_2049,refute_0_2066]) ).

cnf(refute_0_2068,plain,
    ( ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) != ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b))
    | ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) != ifeq(zero,zero,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)))),bind(Y0,$fot(ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)))),bind(Z0,$fot(ifeq(zero,zero,one,meet(b,complement(join(a,X_400))))))]]) ).

cnf(refute_0_2069,plain,
    ( ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) != ifeq(zero,zero,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b))) )],[refute_0_2067,refute_0_2068]) ).

cnf(refute_0_2070,plain,
    ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),ifeq(zero,zero,one,meet(b,complement(join(a,X_400))))) )],[refute_0_2063,refute_0_2069]) ).

cnf(refute_0_2071,plain,
    ( ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) != ifeq(zero,zero,one,meet(b,complement(join(a,X_400))))
    | ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))) != one
    | ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)))),bind(Y0,$fot(ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_2072,plain,
    ( ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))) != one
    | ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = one ),
    inference(resolve,[$cnf( $equal(ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),ifeq(zero,zero,one,meet(b,complement(join(a,X_400))))) )],[refute_0_2070,refute_0_2071]) ).

cnf(refute_0_2073,plain,
    ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) = one,
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,one,meet(b,complement(join(a,X_400)))),one) )],[refute_0_2044,refute_0_2072]) ).

cnf(refute_0_2074,plain,
    ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),
    introduced(tautology,[refl,[$fot(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)))]]) ).

cnf(refute_0_2075,plain,
    ( ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) != one
    | ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b))
    | ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b))) ),[1,2],$fot(one)]]) ).

cnf(refute_0_2076,plain,
    ( ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)) != one
    | ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b))) )],[refute_0_2074,refute_0_2075]) ).

cnf(refute_0_2077,plain,
    ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)),
    inference(resolve,[$cnf( $equal(ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),one) )],[refute_0_2073,refute_0_2076]) ).

cnf(refute_0_2078,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b))
    | ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)))),bind(Y0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)))),bind(Z0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))))]]) ).

cnf(refute_0_2079,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b))) )],[refute_0_2077,refute_0_2078]) ).

cnf(refute_0_2080,plain,
    ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))) )],[refute_0_1987,refute_0_2079]) ).

cnf(refute_0_2081,plain,
    ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),
    introduced(tautology,[refl,[$fot(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)))]]) ).

cnf(refute_0_2082,plain,
    ( ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b))
    | meet(complement(join(X_400,a)),b) != meet(b,complement(join(X_400,a)))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b))) ),[1,0],$fot(meet(b,complement(join(X_400,a))))]]) ).

cnf(refute_0_2083,plain,
    ( meet(complement(join(X_400,a)),b) != meet(b,complement(join(X_400,a)))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b))) )],[refute_0_2081,refute_0_2082]) ).

cnf(refute_0_2084,plain,
    ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),
    inference(resolve,[$cnf( $equal(meet(complement(join(X_400,a)),b),meet(b,complement(join(X_400,a)))) )],[refute_0_1989,refute_0_2083]) ).

cnf(refute_0_2085,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)))),bind(Y0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)))),bind(Z0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))))]]) ).

cnf(refute_0_2086,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b))) )],[refute_0_2084,refute_0_2085]) ).

cnf(refute_0_2087,plain,
    ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))) )],[refute_0_2080,refute_0_2086]) ).

cnf(refute_0_2088,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) != meet(b,complement(join(X_400,a)))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = meet(b,complement(join(X_400,a))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)))),bind(Y0,$fot(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))))),bind(Z0,$fot(meet(b,complement(join(X_400,a)))))]]) ).

cnf(refute_0_2089,plain,
    ( ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))) != meet(b,complement(join(X_400,a)))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = meet(b,complement(join(X_400,a))) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400))))) )],[refute_0_2087,refute_0_2088]) ).

cnf(refute_0_2090,plain,
    ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) = meet(b,complement(join(X_400,a))),
    inference(resolve,[$cnf( $equal(ifeq(meet(b,complement(join(X_400,a))),one,one,meet(b,complement(join(a,X_400)))),meet(b,complement(join(X_400,a)))) )],[refute_0_2043,refute_0_2089]) ).

cnf(refute_0_2091,plain,
    ( ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != meet(b,complement(join(X_400,a)))
    | ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != meet(complement(join(a,X_400)),b)
    | meet(b,complement(join(X_400,a))) = meet(complement(join(a,X_400)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) ),[0],$fot(meet(b,complement(join(X_400,a))))]]) ).

cnf(refute_0_2092,plain,
    ( ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != meet(complement(join(a,X_400)),b)
    | meet(b,complement(join(X_400,a))) = meet(complement(join(a,X_400)),b) ),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),meet(b,complement(join(X_400,a)))) )],[refute_0_2090,refute_0_2091]) ).

cnf(refute_0_2093,plain,
    ( meet(b,complement(join(X_400,a))) != meet(complement(join(a,X_400)),b)
    | meet(complement(join(a,X_400)),b) != meet(b,complement(join(a,X_400)))
    | meet(b,complement(join(X_400,a))) = meet(b,complement(join(a,X_400))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,complement(join(X_400,a))),meet(b,complement(join(a,X_400)))) ),[0],$fot(meet(complement(join(a,X_400)),b))]]) ).

cnf(refute_0_2094,plain,
    ( meet(b,complement(join(X_400,a))) != meet(complement(join(a,X_400)),b)
    | meet(b,complement(join(X_400,a))) = meet(b,complement(join(a,X_400))) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,X_400)),b),meet(b,complement(join(a,X_400)))) )],[refute_0_1983,refute_0_2093]) ).

cnf(refute_0_2095,plain,
    ( ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) != meet(complement(join(a,X_400)),b)
    | meet(b,complement(join(X_400,a))) = meet(b,complement(join(a,X_400))) ),
    inference(resolve,[$cnf( $equal(meet(b,complement(join(X_400,a))),meet(complement(join(a,X_400)),b)) )],[refute_0_2092,refute_0_2094]) ).

cnf(refute_0_2096,plain,
    meet(b,complement(join(X_400,a))) = meet(b,complement(join(a,X_400))),
    inference(resolve,[$cnf( $equal(ifeq(meet(complement(join(X_400,a)),b),one,ifeq(meet(a,complement(join(a,X_400))),zero,complement(meet(a,complement(join(a,X_400)))),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)),meet(complement(join(a,X_400)),b)) )],[refute_0_1976,refute_0_2095]) ).

cnf(refute_0_2097,plain,
    meet(b,complement(join(X_657,a))) = meet(b,complement(join(a,X_657))),
    inference(subst,[],[refute_0_2096:[bind(X_400,$fot(X_657))]]) ).

cnf(refute_0_2098,plain,
    ( meet(b,complement(join(X_657,a))) != meet(b,complement(join(a,X_657)))
    | meet(b,meet(X_15,complement(join(X_657,a)))) != meet(b,meet(X_15,meet(b,complement(join(X_657,a)))))
    | meet(b,meet(X_15,complement(join(X_657,a)))) = meet(b,meet(X_15,meet(b,complement(join(a,X_657))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_15,complement(join(X_657,a)))),meet(b,meet(X_15,meet(b,complement(join(X_657,a)))))) ),[1,1,1],$fot(meet(b,complement(join(a,X_657))))]]) ).

cnf(refute_0_2099,plain,
    ( meet(b,meet(X_15,complement(join(X_657,a)))) != meet(b,meet(X_15,meet(b,complement(join(X_657,a)))))
    | meet(b,meet(X_15,complement(join(X_657,a)))) = meet(b,meet(X_15,meet(b,complement(join(a,X_657))))) ),
    inference(resolve,[$cnf( $equal(meet(b,complement(join(X_657,a))),meet(b,complement(join(a,X_657)))) )],[refute_0_2097,refute_0_2098]) ).

cnf(refute_0_2100,plain,
    meet(b,meet(X_15,complement(join(X_657,a)))) = meet(b,meet(X_15,meet(b,complement(join(a,X_657))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_15,complement(join(X_657,a)))),meet(b,meet(X_15,meet(b,complement(join(X_657,a)))))) )],[refute_0_1837,refute_0_2099]) ).

cnf(refute_0_2101,plain,
    meet(b,meet(X_15,meet(b,complement(join(a,X_657))))) = meet(b,meet(X_15,complement(join(a,X_657)))),
    inference(subst,[],[refute_0_84:[bind(X_43,$fot(b)),bind(X_45,$fot(complement(join(a,X_657))))]]) ).

cnf(refute_0_2102,plain,
    ( meet(b,meet(X_15,complement(join(X_657,a)))) != meet(b,meet(X_15,meet(b,complement(join(a,X_657)))))
    | meet(b,meet(X_15,meet(b,complement(join(a,X_657))))) != meet(b,meet(X_15,complement(join(a,X_657))))
    | meet(b,meet(X_15,complement(join(X_657,a)))) = meet(b,meet(X_15,complement(join(a,X_657)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,meet(X_15,complement(join(X_657,a)))),meet(b,meet(X_15,complement(join(a,X_657))))) ),[0],$fot(meet(b,meet(X_15,meet(b,complement(join(a,X_657))))))]]) ).

cnf(refute_0_2103,plain,
    ( meet(b,meet(X_15,complement(join(X_657,a)))) != meet(b,meet(X_15,meet(b,complement(join(a,X_657)))))
    | meet(b,meet(X_15,complement(join(X_657,a)))) = meet(b,meet(X_15,complement(join(a,X_657)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_15,meet(b,complement(join(a,X_657))))),meet(b,meet(X_15,complement(join(a,X_657))))) )],[refute_0_2101,refute_0_2102]) ).

cnf(refute_0_2104,plain,
    meet(b,meet(X_15,complement(join(X_657,a)))) = meet(b,meet(X_15,complement(join(a,X_657)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_15,complement(join(X_657,a)))),meet(b,meet(X_15,meet(b,complement(join(a,X_657)))))) )],[refute_0_2100,refute_0_2103]) ).

cnf(refute_0_2105,plain,
    meet(b,meet(join(a,X_744),complement(join(meet(b,meet(join(b,X_744),join(a,X_744))),a)))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))),
    inference(subst,[],[refute_0_2104:[bind(X_15,$fot(join(a,X_744))),bind(X_657,$fot(meet(b,meet(join(b,X_744),join(a,X_744)))))]]) ).

cnf(refute_0_2106,plain,
    meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) = meet(complement(join(a,X_400)),meet(X_713,b)),
    inference(subst,[],[refute_0_772:[bind(X_532,$fot(complement(join(a,X_400)))),bind(X_533,$fot(X_713))]]) ).

cnf(refute_0_2107,plain,
    meet(complement(join(a,X_400)),join(a,meet(b,X_713))) = meet(complement(join(X_400,a)),join(a,meet(b,X_713))),
    inference(subst,[],[refute_0_1972:[bind(X_547,$fot(join(a,meet(b,X_713))))]]) ).

cnf(refute_0_2108,plain,
    ( meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) != meet(complement(join(a,X_400)),meet(X_713,b))
    | meet(complement(join(a,X_400)),join(a,meet(b,X_713))) != meet(complement(join(X_400,a)),join(a,meet(b,X_713)))
    | meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) = meet(complement(join(a,X_400)),meet(X_713,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))),meet(complement(join(a,X_400)),meet(X_713,b))) ),[0,1,1],$fot(meet(complement(join(X_400,a)),join(a,meet(b,X_713))))]]) ).

cnf(refute_0_2109,plain,
    ( meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) != meet(complement(join(a,X_400)),meet(X_713,b))
    | meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) = meet(complement(join(a,X_400)),meet(X_713,b)) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,X_400)),join(a,meet(b,X_713))),meet(complement(join(X_400,a)),join(a,meet(b,X_713)))) )],[refute_0_2107,refute_0_2108]) ).

cnf(refute_0_2110,plain,
    meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) = meet(complement(join(a,X_400)),meet(X_713,b)),
    inference(resolve,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))),meet(complement(join(a,X_400)),meet(X_713,b))) )],[refute_0_2106,refute_0_2109]) ).

cnf(refute_0_2111,plain,
    meet(b,meet(b,meet(X_713,complement(join(X_400,a))))) = meet(b,meet(X_713,complement(join(X_400,a)))),
    inference(subst,[],[refute_0_53:[bind(X_10,$fot(b)),bind(X_15,$fot(meet(X_713,complement(join(X_400,a)))))]]) ).

cnf(refute_0_2112,plain,
    meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) = meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,Y)))))),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(meet(b,meet(X_712,join(a,meet(b,Y))))))]]) ).

cnf(refute_0_2113,plain,
    meet(Y,meet(b,meet(X_712,join(a,meet(b,Y))))) = meet(X_712,meet(Y,b)),
    inference(subst,[],[refute_0_772:[bind(X_532,$fot(X_712)),bind(X_533,$fot(Y))]]) ).

cnf(refute_0_2114,plain,
    ( meet(Y,meet(b,meet(X_712,join(a,meet(b,Y))))) != meet(X_712,meet(Y,b))
    | meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) != meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,Y))))))
    | meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) = meet(X,meet(X_712,meet(Y,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))),meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,Y))))))) ),[1,1],$fot(meet(X_712,meet(Y,b)))]]) ).

cnf(refute_0_2115,plain,
    ( meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) != meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,Y))))))
    | meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) = meet(X,meet(X_712,meet(Y,b))) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(b,meet(X_712,join(a,meet(b,Y))))),meet(X_712,meet(Y,b))) )],[refute_0_2113,refute_0_2114]) ).

cnf(refute_0_2116,plain,
    meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) = meet(X,meet(X_712,meet(Y,b))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))),meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,Y))))))) )],[refute_0_2112,refute_0_2115]) ).

cnf(refute_0_2117,plain,
    meet(b,meet(X_712,meet(X,meet(Y,b)))) = meet(Y,meet(b,meet(X_712,X))),
    inference(subst,[],[refute_0_672:[bind(X,$fot(Y)),bind(Y,$fot(b)),bind(X_274,$fot(X_712)),bind(X_276,$fot(X))]]) ).

cnf(refute_0_2118,plain,
    meet(X,meet(X_43,join(a,meet(b,X_43)))) = meet(X_43,meet(join(a,meet(b,X_43)),X)),
    inference(subst,[],[refute_0_59:[bind(X_44,$fot(join(a,meet(b,X_43))))]]) ).

cnf(refute_0_2119,plain,
    meet(X_43,b) = meet(X_43,join(a,meet(b,X_43))),
    inference(subst,[],[refute_0_587:[bind(X_160,$fot(X_43))]]) ).

cnf(refute_0_2120,plain,
    ( meet(X_43,b) != meet(X_43,join(a,meet(b,X_43)))
    | meet(X_43,join(a,meet(b,X_43))) = meet(X_43,b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_43,b))),bind(Y0,$fot(meet(X_43,join(a,meet(b,X_43)))))]]) ).

cnf(refute_0_2121,plain,
    meet(X_43,join(a,meet(b,X_43))) = meet(X_43,b),
    inference(resolve,[$cnf( $equal(meet(X_43,b),meet(X_43,join(a,meet(b,X_43)))) )],[refute_0_2119,refute_0_2120]) ).

cnf(refute_0_2122,plain,
    ( meet(X,meet(X_43,join(a,meet(b,X_43)))) != meet(X_43,meet(join(a,meet(b,X_43)),X))
    | meet(X_43,join(a,meet(b,X_43))) != meet(X_43,b)
    | meet(X,meet(X_43,b)) = meet(X_43,meet(join(a,meet(b,X_43)),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(X_43,join(a,meet(b,X_43)))),meet(X_43,meet(join(a,meet(b,X_43)),X))) ),[0,1],$fot(meet(X_43,b))]]) ).

cnf(refute_0_2123,plain,
    ( meet(X,meet(X_43,join(a,meet(b,X_43)))) != meet(X_43,meet(join(a,meet(b,X_43)),X))
    | meet(X,meet(X_43,b)) = meet(X_43,meet(join(a,meet(b,X_43)),X)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,join(a,meet(b,X_43))),meet(X_43,b)) )],[refute_0_2121,refute_0_2122]) ).

cnf(refute_0_2124,plain,
    meet(X,meet(X_43,b)) = meet(X_43,meet(join(a,meet(b,X_43)),X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_43,join(a,meet(b,X_43)))),meet(X_43,meet(join(a,meet(b,X_43)),X))) )],[refute_0_2118,refute_0_2123]) ).

cnf(refute_0_2125,plain,
    ( meet(X,meet(X_43,b)) != meet(X_43,meet(join(a,meet(b,X_43)),X))
    | meet(X_43,meet(join(a,meet(b,X_43)),X)) = meet(X,meet(X_43,b)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,meet(X_43,b)))),bind(Y0,$fot(meet(X_43,meet(join(a,meet(b,X_43)),X))))]]) ).

cnf(refute_0_2126,plain,
    meet(X_43,meet(join(a,meet(b,X_43)),X)) = meet(X,meet(X_43,b)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_43,b)),meet(X_43,meet(join(a,meet(b,X_43)),X))) )],[refute_0_2124,refute_0_2125]) ).

cnf(refute_0_2127,plain,
    meet(Y,meet(join(a,meet(b,Y)),X)) = meet(X,meet(Y,b)),
    inference(subst,[],[refute_0_2126:[bind(X_43,$fot(Y))]]) ).

cnf(refute_0_2128,plain,
    meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))) = meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))),
    introduced(tautology,[refl,[$fot(meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))))]]) ).

cnf(refute_0_2129,plain,
    ( meet(Y,meet(join(a,meet(b,Y)),X)) != meet(X,meet(Y,b))
    | meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))) != meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X)))
    | meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))) = meet(X_712,meet(X,meet(Y,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))),meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X)))) ),[1,1],$fot(meet(X,meet(Y,b)))]]) ).

cnf(refute_0_2130,plain,
    ( meet(Y,meet(join(a,meet(b,Y)),X)) != meet(X,meet(Y,b))
    | meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))) = meet(X_712,meet(X,meet(Y,b))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))),meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X)))) )],[refute_0_2128,refute_0_2129]) ).

cnf(refute_0_2131,plain,
    meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))) = meet(X_712,meet(X,meet(Y,b))),
    inference(resolve,[$cnf( $equal(meet(Y,meet(join(a,meet(b,Y)),X)),meet(X,meet(Y,b))) )],[refute_0_2127,refute_0_2130]) ).

cnf(refute_0_2132,plain,
    meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))) = meet(X_531,meet(X_532,meet(X_44,X))),
    inference(subst,[],[refute_0_526:[bind(X_10,$fot(X_531)),bind(X_43,$fot(X_532)),bind(X_44,$fot(meet(X_44,X)))]]) ).

cnf(refute_0_2133,plain,
    meet(X,meet(X_532,X_44)) = meet(X_532,meet(X_44,X)),
    inference(subst,[],[refute_0_59:[bind(X_43,$fot(X_532))]]) ).

cnf(refute_0_2134,plain,
    ( meet(X,meet(X_532,X_44)) != meet(X_532,meet(X_44,X))
    | meet(X_532,meet(X_44,X)) = meet(X,meet(X_532,X_44)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,meet(X_532,X_44)))),bind(Y0,$fot(meet(X_532,meet(X_44,X))))]]) ).

cnf(refute_0_2135,plain,
    meet(X_532,meet(X_44,X)) = meet(X,meet(X_532,X_44)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_532,X_44)),meet(X_532,meet(X_44,X))) )],[refute_0_2133,refute_0_2134]) ).

cnf(refute_0_2136,plain,
    ( meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))) != meet(X_531,meet(X_532,meet(X_44,X)))
    | meet(X_532,meet(X_44,X)) != meet(X,meet(X_532,X_44))
    | meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))) = meet(X_531,meet(X,meet(X_532,X_44))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))),meet(X_531,meet(X_532,meet(X_44,X)))) ),[1,1],$fot(meet(X,meet(X_532,X_44)))]]) ).

cnf(refute_0_2137,plain,
    ( meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))) != meet(X_531,meet(X_532,meet(X_44,X)))
    | meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))) = meet(X_531,meet(X,meet(X_532,X_44))) ),
    inference(resolve,[$cnf( $equal(meet(X_532,meet(X_44,X)),meet(X,meet(X_532,X_44))) )],[refute_0_2135,refute_0_2136]) ).

cnf(refute_0_2138,plain,
    meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))) = meet(X_531,meet(X,meet(X_532,X_44))),
    inference(resolve,[$cnf( $equal(meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))),meet(X_531,meet(X_532,meet(X_44,X)))) )],[refute_0_2132,refute_0_2137]) ).

cnf(refute_0_2139,plain,
    ( meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))) != meet(X_531,meet(X,meet(X_532,X_44)))
    | meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))) != meet(X_531,meet(X_532,meet(X_44,X)))
    | meet(X_531,meet(X_532,meet(X_44,X))) = meet(X_531,meet(X,meet(X_532,X_44))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))),meet(X_531,meet(X,meet(X_532,X_44)))) ),[0],$fot(meet(X_531,meet(X_532,meet(X_44,X))))]]) ).

cnf(refute_0_2140,plain,
    ( meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))) != meet(X_531,meet(X,meet(X_532,X_44)))
    | meet(X_531,meet(X_532,meet(X_44,X))) = meet(X_531,meet(X,meet(X_532,X_44))) ),
    inference(resolve,[$cnf( $equal(meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))),meet(X_531,meet(X_532,meet(X_44,X)))) )],[refute_0_2132,refute_0_2139]) ).

cnf(refute_0_2141,plain,
    meet(X_531,meet(X_532,meet(X_44,X))) = meet(X_531,meet(X,meet(X_532,X_44))),
    inference(resolve,[$cnf( $equal(meet(X_531,meet(X_532,meet(meet(X_44,X),X_531))),meet(X_531,meet(X,meet(X_532,X_44)))) )],[refute_0_2138,refute_0_2140]) ).

cnf(refute_0_2142,plain,
    meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))) = meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))),
    inference(subst,[],[refute_0_2141:[bind(X,$fot(Y)),bind(X_44,$fot(X)),bind(X_531,$fot(X_712)),bind(X_532,$fot(join(a,meet(b,Y))))]]) ).

cnf(refute_0_2143,plain,
    ( meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))) != meet(X_712,meet(X,meet(Y,b)))
    | meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))) != meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X)))
    | meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))) = meet(X_712,meet(X,meet(Y,b))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))))),bind(Y0,$fot(meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))))),bind(Z0,$fot(meet(X_712,meet(X,meet(Y,b)))))]]) ).

cnf(refute_0_2144,plain,
    ( meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))) != meet(X_712,meet(X,meet(Y,b)))
    | meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))) = meet(X_712,meet(X,meet(Y,b))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))),meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X)))) )],[refute_0_2142,refute_0_2143]) ).

cnf(refute_0_2145,plain,
    meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))) = meet(X_712,meet(X,meet(Y,b))),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(Y,meet(join(a,meet(b,Y)),X))),meet(X_712,meet(X,meet(Y,b)))) )],[refute_0_2131,refute_0_2144]) ).

cnf(refute_0_2146,plain,
    meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) = meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))),
    introduced(tautology,[refl,[$fot(meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))))]]) ).

cnf(refute_0_2147,plain,
    ( meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))) != meet(X_712,meet(X,meet(Y,b)))
    | meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) != meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))))
    | meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) = meet(b,meet(X_712,meet(X,meet(Y,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))),meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))))) ),[1,1],$fot(meet(X_712,meet(X,meet(Y,b))))]]) ).

cnf(refute_0_2148,plain,
    ( meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))) != meet(X_712,meet(X,meet(Y,b)))
    | meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) = meet(b,meet(X_712,meet(X,meet(Y,b)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))),meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))))) )],[refute_0_2146,refute_0_2147]) ).

cnf(refute_0_2149,plain,
    meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) = meet(b,meet(X_712,meet(X,meet(Y,b)))),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))),meet(X_712,meet(X,meet(Y,b)))) )],[refute_0_2145,refute_0_2148]) ).

cnf(refute_0_2150,plain,
    ( meet(b,meet(X_712,meet(X,meet(Y,b)))) != meet(Y,meet(b,meet(X_712,X)))
    | meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) != meet(b,meet(X_712,meet(X,meet(Y,b))))
    | meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) = meet(Y,meet(b,meet(X_712,X))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))))),bind(Y0,$fot(meet(b,meet(X_712,meet(X,meet(Y,b)))))),bind(Z0,$fot(meet(Y,meet(b,meet(X_712,X)))))]]) ).

cnf(refute_0_2151,plain,
    ( meet(b,meet(X_712,meet(X,meet(Y,b)))) != meet(Y,meet(b,meet(X_712,X)))
    | meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) = meet(Y,meet(b,meet(X_712,X))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))),meet(b,meet(X_712,meet(X,meet(Y,b))))) )],[refute_0_2149,refute_0_2150]) ).

cnf(refute_0_2152,plain,
    meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) = meet(Y,meet(b,meet(X_712,X))),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,meet(X,meet(Y,b)))),meet(Y,meet(b,meet(X_712,X)))) )],[refute_0_2117,refute_0_2151]) ).

cnf(refute_0_2153,plain,
    meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) = meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))]]) ).

cnf(refute_0_2154,plain,
    meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) = meet(X_712,meet(meet(X,Y),b)),
    inference(subst,[],[refute_0_772:[bind(X_532,$fot(X_712)),bind(X_533,$fot(meet(X,Y)))]]) ).

cnf(refute_0_2155,plain,
    ( meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) != meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))
    | meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) != meet(X_712,meet(meet(X,Y),b))
    | meet(X_712,meet(meet(X,Y),b)) = meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))),meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))) ),[0],$fot(meet(X_712,meet(meet(X,Y),b)))]]) ).

cnf(refute_0_2156,plain,
    ( meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) != meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))
    | meet(X_712,meet(meet(X,Y),b)) = meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))),meet(X_712,meet(meet(X,Y),b))) )],[refute_0_2154,refute_0_2155]) ).

cnf(refute_0_2157,plain,
    meet(X_712,meet(meet(X,Y),b)) = meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))),meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))) )],[refute_0_2153,refute_0_2156]) ).

cnf(refute_0_2158,plain,
    join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = meet(X_157,join(meet(X_157,meet(a,complement(meet(X_157,b)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(X_157)),bind(Y,$fot(meet(a,complement(meet(X_157,b))))),bind(Z,$fot(X_159))]]) ).

cnf(refute_0_2159,plain,
    meet(meet(X_78,complement(meet(b,X_78))),a) = meet(a,meet(X_78,complement(meet(b,X_78)))),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(meet(X_78,complement(meet(b,X_78))))),bind(Y,$fot(a))]]) ).

cnf(refute_0_2160,plain,
    meet(a,meet(X_77,complement(meet(b,X_77)))) = meet(a,meet(b,meet(X_77,complement(meet(b,X_77))))),
    inference(subst,[],[refute_0_394:[bind(X_45,$fot(meet(X_77,complement(meet(b,X_77)))))]]) ).

cnf(refute_0_2161,plain,
    meet(b,meet(X_77,complement(meet(b,X_77)))) = zero,
    inference(subst,[],[refute_0_29:[bind(X_43,$fot(b)),bind(X_44,$fot(X_77))]]) ).

cnf(refute_0_2162,plain,
    ( meet(a,meet(X_77,complement(meet(b,X_77)))) != meet(a,meet(b,meet(X_77,complement(meet(b,X_77)))))
    | meet(b,meet(X_77,complement(meet(b,X_77)))) != zero
    | meet(a,meet(X_77,complement(meet(b,X_77)))) = meet(a,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(X_77,complement(meet(b,X_77)))),meet(a,meet(b,meet(X_77,complement(meet(b,X_77)))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2163,plain,
    ( meet(a,meet(X_77,complement(meet(b,X_77)))) != meet(a,meet(b,meet(X_77,complement(meet(b,X_77)))))
    | meet(a,meet(X_77,complement(meet(b,X_77)))) = meet(a,zero) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_77,complement(meet(b,X_77)))),zero) )],[refute_0_2161,refute_0_2162]) ).

cnf(refute_0_2164,plain,
    meet(a,meet(X_77,complement(meet(b,X_77)))) = meet(a,zero),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_77,complement(meet(b,X_77)))),meet(a,meet(b,meet(X_77,complement(meet(b,X_77)))))) )],[refute_0_2160,refute_0_2163]) ).

cnf(refute_0_2165,plain,
    meet(a,zero) = zero,
    inference(subst,[],[refute_0_1373:[bind(X_10,$fot(a))]]) ).

cnf(refute_0_2166,plain,
    ( meet(a,meet(X_77,complement(meet(b,X_77)))) != meet(a,zero)
    | meet(a,zero) != zero
    | meet(a,meet(X_77,complement(meet(b,X_77)))) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(a,meet(X_77,complement(meet(b,X_77)))),zero) ),[0],$fot(meet(a,zero))]]) ).

cnf(refute_0_2167,plain,
    ( meet(a,meet(X_77,complement(meet(b,X_77)))) != meet(a,zero)
    | meet(a,meet(X_77,complement(meet(b,X_77)))) = zero ),
    inference(resolve,[$cnf( $equal(meet(a,zero),zero) )],[refute_0_2165,refute_0_2166]) ).

cnf(refute_0_2168,plain,
    meet(a,meet(X_77,complement(meet(b,X_77)))) = zero,
    inference(resolve,[$cnf( $equal(meet(a,meet(X_77,complement(meet(b,X_77)))),meet(a,zero)) )],[refute_0_2164,refute_0_2167]) ).

cnf(refute_0_2169,plain,
    meet(a,meet(X_78,complement(meet(b,X_78)))) = zero,
    inference(subst,[],[refute_0_2168:[bind(X_77,$fot(X_78))]]) ).

cnf(refute_0_2170,plain,
    ( meet(a,meet(X_78,complement(meet(b,X_78)))) != zero
    | meet(meet(X_78,complement(meet(b,X_78))),a) != meet(a,meet(X_78,complement(meet(b,X_78))))
    | meet(meet(X_78,complement(meet(b,X_78))),a) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_78,complement(meet(b,X_78))),a),meet(a,meet(X_78,complement(meet(b,X_78))))) ),[1],$fot(zero)]]) ).

cnf(refute_0_2171,plain,
    ( meet(meet(X_78,complement(meet(b,X_78))),a) != meet(a,meet(X_78,complement(meet(b,X_78))))
    | meet(meet(X_78,complement(meet(b,X_78))),a) = zero ),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_78,complement(meet(b,X_78)))),zero) )],[refute_0_2169,refute_0_2170]) ).

cnf(refute_0_2172,plain,
    meet(meet(X_78,complement(meet(b,X_78))),a) = zero,
    inference(resolve,[$cnf( $equal(meet(meet(X_78,complement(meet(b,X_78))),a),meet(a,meet(X_78,complement(meet(b,X_78))))) )],[refute_0_2159,refute_0_2171]) ).

cnf(refute_0_2173,plain,
    meet(X_78,meet(complement(meet(b,X_78)),a)) = meet(X_78,meet(a,complement(meet(b,X_78)))),
    inference(subst,[],[refute_0_90:[bind(X_10,$fot(X_78)),bind(X_73,$fot(a)),bind(X_75,$fot(complement(meet(b,X_78))))]]) ).

cnf(refute_0_2174,plain,
    meet(meet(X_78,complement(meet(b,X_78))),a) = meet(X_78,meet(complement(meet(b,X_78)),a)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_78)),bind(Y,$fot(complement(meet(b,X_78)))),bind(Z,$fot(a))]]) ).

cnf(refute_0_2175,plain,
    ( meet(X_78,meet(complement(meet(b,X_78)),a)) != meet(X_78,meet(a,complement(meet(b,X_78))))
    | meet(meet(X_78,complement(meet(b,X_78))),a) != meet(X_78,meet(complement(meet(b,X_78)),a))
    | meet(meet(X_78,complement(meet(b,X_78))),a) = meet(X_78,meet(a,complement(meet(b,X_78)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_78,complement(meet(b,X_78))),a))),bind(Y0,$fot(meet(X_78,meet(complement(meet(b,X_78)),a)))),bind(Z0,$fot(meet(X_78,meet(a,complement(meet(b,X_78))))))]]) ).

cnf(refute_0_2176,plain,
    ( meet(X_78,meet(complement(meet(b,X_78)),a)) != meet(X_78,meet(a,complement(meet(b,X_78))))
    | meet(meet(X_78,complement(meet(b,X_78))),a) = meet(X_78,meet(a,complement(meet(b,X_78)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_78,complement(meet(b,X_78))),a),meet(X_78,meet(complement(meet(b,X_78)),a))) )],[refute_0_2174,refute_0_2175]) ).

cnf(refute_0_2177,plain,
    meet(meet(X_78,complement(meet(b,X_78))),a) = meet(X_78,meet(a,complement(meet(b,X_78)))),
    inference(resolve,[$cnf( $equal(meet(X_78,meet(complement(meet(b,X_78)),a)),meet(X_78,meet(a,complement(meet(b,X_78))))) )],[refute_0_2173,refute_0_2176]) ).

cnf(refute_0_2178,plain,
    ( meet(meet(X_78,complement(meet(b,X_78))),a) != meet(X_78,meet(a,complement(meet(b,X_78))))
    | meet(meet(X_78,complement(meet(b,X_78))),a) != zero
    | meet(X_78,meet(a,complement(meet(b,X_78)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_78,complement(meet(b,X_78))),a),zero) ),[0],$fot(meet(X_78,meet(a,complement(meet(b,X_78)))))]]) ).

cnf(refute_0_2179,plain,
    ( meet(meet(X_78,complement(meet(b,X_78))),a) != zero
    | meet(X_78,meet(a,complement(meet(b,X_78)))) = zero ),
    inference(resolve,[$cnf( $equal(meet(meet(X_78,complement(meet(b,X_78))),a),meet(X_78,meet(a,complement(meet(b,X_78))))) )],[refute_0_2177,refute_0_2178]) ).

cnf(refute_0_2180,plain,
    meet(X_78,meet(a,complement(meet(b,X_78)))) = zero,
    inference(resolve,[$cnf( $equal(meet(meet(X_78,complement(meet(b,X_78))),a),zero) )],[refute_0_2172,refute_0_2179]) ).

cnf(refute_0_2181,plain,
    meet(X_79,meet(a,complement(meet(b,X_79)))) = zero,
    inference(subst,[],[refute_0_2180:[bind(X_78,$fot(X_79))]]) ).

cnf(refute_0_2182,plain,
    meet(X_79,b) = meet(b,X_79),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_79)),bind(Y,$fot(b))]]) ).

cnf(refute_0_2183,plain,
    ( meet(X_79,b) != meet(b,X_79)
    | meet(b,X_79) = meet(X_79,b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_79,b))),bind(Y0,$fot(meet(b,X_79)))]]) ).

cnf(refute_0_2184,plain,
    meet(b,X_79) = meet(X_79,b),
    inference(resolve,[$cnf( $equal(meet(X_79,b),meet(b,X_79)) )],[refute_0_2182,refute_0_2183]) ).

cnf(refute_0_2185,plain,
    ( meet(X_79,meet(a,complement(meet(b,X_79)))) != zero
    | meet(b,X_79) != meet(X_79,b)
    | meet(X_79,meet(a,complement(meet(X_79,b)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_79,meet(a,complement(meet(b,X_79)))),zero) ),[0,1,1,0],$fot(meet(X_79,b))]]) ).

cnf(refute_0_2186,plain,
    ( meet(X_79,meet(a,complement(meet(b,X_79)))) != zero
    | meet(X_79,meet(a,complement(meet(X_79,b)))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,X_79),meet(X_79,b)) )],[refute_0_2184,refute_0_2185]) ).

cnf(refute_0_2187,plain,
    meet(X_79,meet(a,complement(meet(X_79,b)))) = zero,
    inference(resolve,[$cnf( $equal(meet(X_79,meet(a,complement(meet(b,X_79)))),zero) )],[refute_0_2181,refute_0_2186]) ).

cnf(refute_0_2188,plain,
    meet(X_157,meet(a,complement(meet(X_157,b)))) = zero,
    inference(subst,[],[refute_0_2187:[bind(X_79,$fot(X_157))]]) ).

cnf(refute_0_2189,plain,
    ( join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,meet(a,complement(meet(X_157,b)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))
    | meet(X_157,meet(a,complement(meet(X_157,b)))) != zero
    | join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)),meet(X_157,join(meet(X_157,meet(a,complement(meet(X_157,b)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))) ),[1,1,0],$fot(zero)]]) ).

cnf(refute_0_2190,plain,
    ( join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,meet(a,complement(meet(X_157,b)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))
    | join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,meet(a,complement(meet(X_157,b)))),zero) )],[refute_0_2188,refute_0_2189]) ).

cnf(refute_0_2191,plain,
    join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)),meet(X_157,join(meet(X_157,meet(a,complement(meet(X_157,b)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))) )],[refute_0_2158,refute_0_2190]) ).

cnf(refute_0_2192,plain,
    join(zero,meet(X_157,X_159)) = meet(X_157,X_159),
    inference(subst,[],[refute_0_1415:[bind(Y,$fot(meet(X_157,X_159)))]]) ).

cnf(refute_0_2193,plain,
    join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)),
    introduced(tautology,[refl,[$fot(join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)))]]) ).

cnf(refute_0_2194,plain,
    ( join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) != join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159))
    | meet(X_157,meet(a,complement(meet(X_157,b)))) != zero
    | join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = join(zero,meet(X_157,X_159)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)),join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2195,plain,
    ( meet(X_157,meet(a,complement(meet(X_157,b)))) != zero
    | join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = join(zero,meet(X_157,X_159)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)),join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159))) )],[refute_0_2193,refute_0_2194]) ).

cnf(refute_0_2196,plain,
    join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = join(zero,meet(X_157,X_159)),
    inference(resolve,[$cnf( $equal(meet(X_157,meet(a,complement(meet(X_157,b)))),zero) )],[refute_0_2188,refute_0_2195]) ).

cnf(refute_0_2197,plain,
    ( join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) != join(zero,meet(X_157,X_159))
    | join(zero,meet(X_157,X_159)) != meet(X_157,X_159)
    | join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = meet(X_157,X_159) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)))),bind(Y0,$fot(join(zero,meet(X_157,X_159)))),bind(Z0,$fot(meet(X_157,X_159)))]]) ).

cnf(refute_0_2198,plain,
    ( join(zero,meet(X_157,X_159)) != meet(X_157,X_159)
    | join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = meet(X_157,X_159) ),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)),join(zero,meet(X_157,X_159))) )],[refute_0_2196,refute_0_2197]) ).

cnf(refute_0_2199,plain,
    join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) = meet(X_157,X_159),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_157,X_159)),meet(X_157,X_159)) )],[refute_0_2192,refute_0_2198]) ).

cnf(refute_0_2200,plain,
    ( join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) != meet(X_157,X_159)
    | join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))
    | meet(X_157,X_159) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)),meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))) ),[0],$fot(meet(X_157,X_159))]]) ).

cnf(refute_0_2201,plain,
    ( join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))
    | meet(X_157,X_159) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)),meet(X_157,X_159)) )],[refute_0_2199,refute_0_2200]) ).

cnf(refute_0_2202,plain,
    meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)) = meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(complement(meet(X_157,b)))),bind(Z,$fot(join(X_157,X_159)))]]) ).

cnf(refute_0_2203,plain,
    join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))) = join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))),
    introduced(tautology,[refl,[$fot(join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))]]) ).

cnf(refute_0_2204,plain,
    ( join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))) != join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))
    | meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)) != meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))
    | join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))),join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))) ),[1,1],$fot(meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))]]) ).

cnf(refute_0_2205,plain,
    ( meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)) != meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))
    | join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))),join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))) )],[refute_0_2203,refute_0_2204]) ).

cnf(refute_0_2206,plain,
    join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))),
    inference(resolve,[$cnf( $equal(meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))) )],[refute_0_2202,refute_0_2205]) ).

cnf(refute_0_2207,plain,
    join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))) = join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))),
    inference(subst,[],[refute_0_1415:[bind(Y,$fot(join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))]]) ).

cnf(refute_0_2208,plain,
    ( join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))) != join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))
    | join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))) != join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))
    | join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))),bind(Y0,$fot(join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))),bind(Z0,$fot(join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))))]]) ).

cnf(refute_0_2209,plain,
    ( join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))) != join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))
    | join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))) )],[refute_0_2207,refute_0_2208]) ).

cnf(refute_0_2210,plain,
    join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))),join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))) )],[refute_0_2206,refute_0_2209]) ).

cnf(refute_0_2211,plain,
    meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))),
    introduced(tautology,[refl,[$fot(meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))))]]) ).

cnf(refute_0_2212,plain,
    ( join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))) != join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))
    | meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))
    | meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))),meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))) ),[1,1],$fot(join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))))]]) ).

cnf(refute_0_2213,plain,
    ( join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))) != join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))
    | meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))),meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))) )],[refute_0_2211,refute_0_2212]) ).

cnf(refute_0_2214,plain,
    meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))),join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))) )],[refute_0_2210,refute_0_2213]) ).

cnf(refute_0_2215,plain,
    ( meet(X_157,X_159) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))
    | meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))) != meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))))
    | meet(X_157,X_159) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_157,X_159),meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))))) ),[0],$fot(meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))))]]) ).

cnf(refute_0_2216,plain,
    ( meet(X_157,X_159) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))
    | meet(X_157,X_159) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159))))),meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159)))))) )],[refute_0_2214,refute_0_2215]) ).

cnf(refute_0_2217,plain,
    ( join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))
    | meet(X_157,X_159) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,X_159),meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))) )],[refute_0_2201,refute_0_2216]) ).

cnf(refute_0_2218,plain,
    meet(X_157,X_159) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(X_157,b)),join(X_157,X_159))))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(X_157,b)))),meet(X_157,X_159)),meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(X_157,b))),join(X_157,X_159)))))) )],[refute_0_2191,refute_0_2217]) ).

cnf(refute_0_2219,plain,
    meet(X_611,meet(X_331,b)) = meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_331,b)))))),
    inference(subst,[],[refute_0_2218:[bind(X_157,$fot(X_611)),bind(X_159,$fot(meet(X_331,b)))]]) ).

cnf(refute_0_2220,plain,
    join(X_611,meet(b,X_331)) = join(X_611,meet(X_331,b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(X_611))]]) ).

cnf(refute_0_2221,plain,
    ( join(X_611,meet(b,X_331)) != join(X_611,meet(X_331,b))
    | join(X_611,meet(X_331,b)) = join(X_611,meet(b,X_331)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_611,meet(b,X_331)))),bind(Y0,$fot(join(X_611,meet(X_331,b))))]]) ).

cnf(refute_0_2222,plain,
    join(X_611,meet(X_331,b)) = join(X_611,meet(b,X_331)),
    inference(resolve,[$cnf( $equal(join(X_611,meet(b,X_331)),join(X_611,meet(X_331,b))) )],[refute_0_2220,refute_0_2221]) ).

cnf(refute_0_2223,plain,
    ( join(X_611,meet(X_331,b)) != join(X_611,meet(b,X_331))
    | meet(X_611,meet(X_331,b)) != meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_331,b))))))
    | meet(X_611,meet(X_331,b)) = meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(b,X_331)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_611,meet(X_331,b)),meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_331,b))))))) ),[1,1,1,1,1],$fot(join(X_611,meet(b,X_331)))]]) ).

cnf(refute_0_2224,plain,
    ( meet(X_611,meet(X_331,b)) != meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_331,b))))))
    | meet(X_611,meet(X_331,b)) = meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(b,X_331)))))) ),
    inference(resolve,[$cnf( $equal(join(X_611,meet(X_331,b)),join(X_611,meet(b,X_331))) )],[refute_0_2222,refute_0_2223]) ).

cnf(refute_0_2225,plain,
    meet(X_611,meet(X_331,b)) = meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(b,X_331)))))),
    inference(resolve,[$cnf( $equal(meet(X_611,meet(X_331,b)),meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_331,b))))))) )],[refute_0_2219,refute_0_2224]) ).

cnf(refute_0_2226,plain,
    meet(X_611,meet(X_45,X_44)) = meet(X_611,join(meet(X_611,meet(X_45,X_44)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44)))))),
    inference(subst,[],[refute_0_2218:[bind(X_157,$fot(X_611)),bind(X_159,$fot(meet(X_45,X_44)))]]) ).

cnf(refute_0_2227,plain,
    meet(X_611,meet(X_44,X_45)) = meet(X_611,meet(X_45,X_44)),
    inference(subst,[],[refute_0_415:[bind(X_43,$fot(X_611))]]) ).

cnf(refute_0_2228,plain,
    ( meet(X_611,meet(X_44,X_45)) != meet(X_611,meet(X_45,X_44))
    | meet(X_611,meet(X_45,X_44)) = meet(X_611,meet(X_44,X_45)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_611,meet(X_44,X_45)))),bind(Y0,$fot(meet(X_611,meet(X_45,X_44))))]]) ).

cnf(refute_0_2229,plain,
    meet(X_611,meet(X_45,X_44)) = meet(X_611,meet(X_44,X_45)),
    inference(resolve,[$cnf( $equal(meet(X_611,meet(X_44,X_45)),meet(X_611,meet(X_45,X_44))) )],[refute_0_2227,refute_0_2228]) ).

cnf(refute_0_2230,plain,
    ( meet(X_611,meet(X_45,X_44)) != meet(X_611,join(meet(X_611,meet(X_45,X_44)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44))))))
    | meet(X_611,meet(X_45,X_44)) != meet(X_611,meet(X_44,X_45))
    | meet(X_611,meet(X_45,X_44)) = meet(X_611,join(meet(X_611,meet(X_44,X_45)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_611,meet(X_45,X_44)),meet(X_611,join(meet(X_611,meet(X_45,X_44)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44))))))) ),[1,1,0],$fot(meet(X_611,meet(X_44,X_45)))]]) ).

cnf(refute_0_2231,plain,
    ( meet(X_611,meet(X_45,X_44)) != meet(X_611,join(meet(X_611,meet(X_45,X_44)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44))))))
    | meet(X_611,meet(X_45,X_44)) = meet(X_611,join(meet(X_611,meet(X_44,X_45)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44)))))) ),
    inference(resolve,[$cnf( $equal(meet(X_611,meet(X_45,X_44)),meet(X_611,meet(X_44,X_45))) )],[refute_0_2229,refute_0_2230]) ).

cnf(refute_0_2232,plain,
    meet(X_611,meet(X_45,X_44)) = meet(X_611,join(meet(X_611,meet(X_44,X_45)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44)))))),
    inference(resolve,[$cnf( $equal(meet(X_611,meet(X_45,X_44)),meet(X_611,join(meet(X_611,meet(X_45,X_44)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44))))))) )],[refute_0_2226,refute_0_2231]) ).

cnf(refute_0_2233,plain,
    ( meet(X_611,meet(X_45,X_44)) != meet(X_611,join(meet(X_611,meet(X_44,X_45)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44))))))
    | meet(X_611,join(meet(X_611,meet(X_44,X_45)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44)))))) = meet(X_611,meet(X_45,X_44)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_611,meet(X_45,X_44)))),bind(Y0,$fot(meet(X_611,join(meet(X_611,meet(X_44,X_45)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44))))))))]]) ).

cnf(refute_0_2234,plain,
    meet(X_611,join(meet(X_611,meet(X_44,X_45)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44)))))) = meet(X_611,meet(X_45,X_44)),
    inference(resolve,[$cnf( $equal(meet(X_611,meet(X_45,X_44)),meet(X_611,join(meet(X_611,meet(X_44,X_45)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(X_45,X_44))))))) )],[refute_0_2232,refute_0_2233]) ).

cnf(refute_0_2235,plain,
    meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(b,X_331)))))) = meet(X_611,meet(b,X_331)),
    inference(subst,[],[refute_0_2234:[bind(X_44,$fot(X_331)),bind(X_45,$fot(b))]]) ).

cnf(refute_0_2236,plain,
    ( meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(b,X_331)))))) != meet(X_611,meet(b,X_331))
    | meet(X_611,meet(X_331,b)) != meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(b,X_331))))))
    | meet(X_611,meet(X_331,b)) = meet(X_611,meet(b,X_331)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_611,meet(X_331,b)),meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(b,X_331))))))) ),[1],$fot(meet(X_611,meet(b,X_331)))]]) ).

cnf(refute_0_2237,plain,
    ( meet(X_611,meet(X_331,b)) != meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(b,X_331))))))
    | meet(X_611,meet(X_331,b)) = meet(X_611,meet(b,X_331)) ),
    inference(resolve,[$cnf( $equal(meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(b,X_331)))))),meet(X_611,meet(b,X_331))) )],[refute_0_2235,refute_0_2236]) ).

cnf(refute_0_2238,plain,
    meet(X_611,meet(X_331,b)) = meet(X_611,meet(b,X_331)),
    inference(resolve,[$cnf( $equal(meet(X_611,meet(X_331,b)),meet(X_611,join(meet(X_611,meet(X_331,b)),meet(a,meet(complement(meet(X_611,b)),join(X_611,meet(b,X_331))))))) )],[refute_0_2225,refute_0_2237]) ).

cnf(refute_0_2239,plain,
    meet(X_712,meet(meet(X,Y),b)) = meet(X_712,meet(b,meet(X,Y))),
    inference(subst,[],[refute_0_2238:[bind(X_331,$fot(meet(X,Y))),bind(X_611,$fot(X_712))]]) ).

cnf(refute_0_2240,plain,
    ( meet(X_712,meet(meet(X,Y),b)) != meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))
    | meet(X_712,meet(meet(X,Y),b)) != meet(X_712,meet(b,meet(X,Y)))
    | meet(X_712,meet(b,meet(X,Y))) = meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_712,meet(meet(X,Y),b)),meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))) ),[0],$fot(meet(X_712,meet(b,meet(X,Y))))]]) ).

cnf(refute_0_2241,plain,
    ( meet(X_712,meet(meet(X,Y),b)) != meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))
    | meet(X_712,meet(b,meet(X,Y))) = meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(meet(X,Y),b)),meet(X_712,meet(b,meet(X,Y)))) )],[refute_0_2239,refute_0_2240]) ).

cnf(refute_0_2242,plain,
    meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,join(meet(X_43,X_44),meet(X_43,meet(X_44,Y)))))) = meet(b,meet(X_43,meet(X_44,Y))),
    inference(subst,[],[refute_0_831:[bind(X_282,$fot(meet(X_43,X_44))),bind(X_283,$fot(meet(X_43,meet(X_44,Y))))]]) ).

cnf(refute_0_2243,plain,
    ( join(meet(X_43,X_44),meet(X_43,meet(X_44,Y))) != meet(X_43,X_44)
    | meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,join(meet(X_43,X_44),meet(X_43,meet(X_44,Y)))))) != meet(b,meet(X_43,meet(X_44,Y)))
    | meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) = meet(b,meet(X_43,meet(X_44,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,join(meet(X_43,X_44),meet(X_43,meet(X_44,Y)))))),meet(b,meet(X_43,meet(X_44,Y)))) ),[0,1,1,1],$fot(meet(X_43,X_44))]]) ).

cnf(refute_0_2244,plain,
    ( meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,join(meet(X_43,X_44),meet(X_43,meet(X_44,Y)))))) != meet(b,meet(X_43,meet(X_44,Y)))
    | meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) = meet(b,meet(X_43,meet(X_44,Y))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_43,X_44),meet(X_43,meet(X_44,Y))),meet(X_43,X_44)) )],[refute_0_1173,refute_0_2243]) ).

cnf(refute_0_2245,plain,
    meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) = meet(b,meet(X_43,meet(X_44,Y))),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,join(meet(X_43,X_44),meet(X_43,meet(X_44,Y)))))),meet(b,meet(X_43,meet(X_44,Y)))) )],[refute_0_2242,refute_0_2244]) ).

cnf(refute_0_2246,plain,
    meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44)))) = meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_44)),bind(Z,$fot(join(a,meet(b,meet(X_43,X_44)))))]]) ).

cnf(refute_0_2247,plain,
    meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))) = meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))),
    introduced(tautology,[refl,[$fot(meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))))]]) ).

cnf(refute_0_2248,plain,
    ( meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))) != meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44)))))
    | meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44)))) != meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))
    | meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))) = meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))),meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44)))))) ),[1,1],$fot(meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44))))))]]) ).

cnf(refute_0_2249,plain,
    ( meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44)))) != meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))
    | meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))) = meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))),meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44)))))) )],[refute_0_2247,refute_0_2248]) ).

cnf(refute_0_2250,plain,
    meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))) = meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44)))),meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))) )],[refute_0_2246,refute_0_2249]) ).

cnf(refute_0_2251,plain,
    meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) = meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(meet(X_44,Y))),bind(Z,$fot(join(a,meet(b,meet(X_43,X_44)))))]]) ).

cnf(refute_0_2252,plain,
    ( meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))) != meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44))))))
    | meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) != meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44)))))
    | meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) = meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))))),bind(Y0,$fot(meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))))),bind(Z0,$fot(meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44))))))))]]) ).

cnf(refute_0_2253,plain,
    ( meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))) != meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44))))))
    | meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) = meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))),meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44)))))) )],[refute_0_2251,refute_0_2252]) ).

cnf(refute_0_2254,plain,
    meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) = meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(meet(X_44,Y),join(a,meet(b,meet(X_43,X_44))))),meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44))))))) )],[refute_0_2250,refute_0_2253]) ).

cnf(refute_0_2255,plain,
    ( meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) != meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44))))))
    | meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) != meet(b,meet(X_43,meet(X_44,Y)))
    | meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))) = meet(b,meet(X_43,meet(X_44,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))),meet(b,meet(X_43,meet(X_44,Y)))) ),[0],$fot(meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))))]]) ).

cnf(refute_0_2256,plain,
    ( meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))) != meet(b,meet(X_43,meet(X_44,Y)))
    | meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))) = meet(b,meet(X_43,meet(X_44,Y))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))),meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44))))))) )],[refute_0_2254,refute_0_2255]) ).

cnf(refute_0_2257,plain,
    meet(X_43,meet(X_44,meet(Y,join(a,meet(b,meet(X_43,X_44)))))) = meet(b,meet(X_43,meet(X_44,Y))),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,meet(X_44,Y)),join(a,meet(b,meet(X_43,X_44)))),meet(b,meet(X_43,meet(X_44,Y)))) )],[refute_0_2245,refute_0_2256]) ).

cnf(refute_0_2258,plain,
    meet(X,meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))) = meet(b,meet(X,meet(Y,X_712))),
    inference(subst,[],[refute_0_2257:[bind(Y,$fot(X_712)),bind(X_43,$fot(X)),bind(X_44,$fot(Y))]]) ).

cnf(refute_0_2259,plain,
    meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))) = meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)),
    inference(subst,[],[refute_0_1781:[bind(Y,$fot(meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))))]]) ).

cnf(refute_0_2260,plain,
    meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))) = meet(X_712,meet(join(a,X_518),b)),
    inference(subst,[],[refute_0_772:[bind(X_532,$fot(X_712)),bind(X_533,$fot(join(a,X_518)))]]) ).

cnf(refute_0_2261,plain,
    ( meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))) != meet(X_712,meet(join(a,X_518),b))
    | meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))) != meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))
    | meet(X_712,meet(join(a,X_518),b)) = meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))),meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))) ),[0],$fot(meet(X_712,meet(join(a,X_518),b)))]]) ).

cnf(refute_0_2262,plain,
    ( meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))) != meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))
    | meet(X_712,meet(join(a,X_518),b)) = meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))),meet(X_712,meet(join(a,X_518),b))) )],[refute_0_2260,refute_0_2261]) ).

cnf(refute_0_2263,plain,
    meet(X_712,meet(join(a,X_518),b)) = meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)),
    inference(resolve,[$cnf( $equal(meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))),meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))) )],[refute_0_2259,refute_0_2262]) ).

cnf(refute_0_2264,plain,
    meet(b,join(a,X_518)) = join(a,meet(b,X_518)),
    inference(subst,[],[refute_0_1627:[bind(Y,$fot(X_518))]]) ).

cnf(refute_0_2265,plain,
    meet(X_712,meet(b,join(a,X_518))) = meet(X_712,meet(b,join(a,X_518))),
    introduced(tautology,[refl,[$fot(meet(X_712,meet(b,join(a,X_518))))]]) ).

cnf(refute_0_2266,plain,
    ( meet(X_712,meet(b,join(a,X_518))) != meet(X_712,meet(b,join(a,X_518)))
    | meet(b,join(a,X_518)) != join(a,meet(b,X_518))
    | meet(X_712,meet(b,join(a,X_518))) = meet(X_712,join(a,meet(b,X_518))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_712,meet(b,join(a,X_518))),meet(X_712,meet(b,join(a,X_518)))) ),[1,1],$fot(join(a,meet(b,X_518)))]]) ).

cnf(refute_0_2267,plain,
    ( meet(b,join(a,X_518)) != join(a,meet(b,X_518))
    | meet(X_712,meet(b,join(a,X_518))) = meet(X_712,join(a,meet(b,X_518))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(b,join(a,X_518))),meet(X_712,meet(b,join(a,X_518)))) )],[refute_0_2265,refute_0_2266]) ).

cnf(refute_0_2268,plain,
    meet(X_712,meet(b,join(a,X_518))) = meet(X_712,join(a,meet(b,X_518))),
    inference(resolve,[$cnf( $equal(meet(b,join(a,X_518)),join(a,meet(b,X_518))) )],[refute_0_2264,refute_0_2267]) ).

cnf(refute_0_2269,plain,
    meet(X_712,meet(join(a,X_518),b)) = meet(X_712,meet(b,join(a,X_518))),
    inference(subst,[],[refute_0_2238:[bind(X_331,$fot(join(a,X_518))),bind(X_611,$fot(X_712))]]) ).

cnf(refute_0_2270,plain,
    ( meet(X_712,meet(b,join(a,X_518))) != meet(X_712,join(a,meet(b,X_518)))
    | meet(X_712,meet(join(a,X_518),b)) != meet(X_712,meet(b,join(a,X_518)))
    | meet(X_712,meet(join(a,X_518),b)) = meet(X_712,join(a,meet(b,X_518))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_712,meet(join(a,X_518),b)))),bind(Y0,$fot(meet(X_712,meet(b,join(a,X_518))))),bind(Z0,$fot(meet(X_712,join(a,meet(b,X_518)))))]]) ).

cnf(refute_0_2271,plain,
    ( meet(X_712,meet(b,join(a,X_518))) != meet(X_712,join(a,meet(b,X_518)))
    | meet(X_712,meet(join(a,X_518),b)) = meet(X_712,join(a,meet(b,X_518))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(join(a,X_518),b)),meet(X_712,meet(b,join(a,X_518)))) )],[refute_0_2269,refute_0_2270]) ).

cnf(refute_0_2272,plain,
    meet(X_712,meet(join(a,X_518),b)) = meet(X_712,join(a,meet(b,X_518))),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(b,join(a,X_518))),meet(X_712,join(a,meet(b,X_518)))) )],[refute_0_2268,refute_0_2271]) ).

cnf(refute_0_2273,plain,
    ( meet(X_712,meet(join(a,X_518),b)) != meet(X_712,join(a,meet(b,X_518)))
    | meet(X_712,meet(join(a,X_518),b)) != meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))
    | meet(X_712,join(a,meet(b,X_518))) = meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_712,meet(join(a,X_518),b)),meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))) ),[0],$fot(meet(X_712,join(a,meet(b,X_518))))]]) ).

cnf(refute_0_2274,plain,
    ( meet(X_712,meet(join(a,X_518),b)) != meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))
    | meet(X_712,join(a,meet(b,X_518))) = meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(join(a,X_518),b)),meet(X_712,join(a,meet(b,X_518)))) )],[refute_0_2272,refute_0_2273]) ).

cnf(refute_0_2275,plain,
    meet(X_44,meet(X_43,join(a,meet(X_44,b)))) = meet(X_43,meet(X_44,join(a,meet(X_44,b)))),
    inference(subst,[],[refute_0_428:[bind(X_45,$fot(join(a,meet(X_44,b))))]]) ).

cnf(refute_0_2276,plain,
    meet(X_44,b) = meet(X_44,join(a,meet(X_44,b))),
    inference(subst,[],[refute_0_580:[bind(X_157,$fot(X_44))]]) ).

cnf(refute_0_2277,plain,
    ( meet(X_44,b) != meet(X_44,join(a,meet(X_44,b)))
    | meet(X_44,join(a,meet(X_44,b))) = meet(X_44,b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_44,b))),bind(Y0,$fot(meet(X_44,join(a,meet(X_44,b)))))]]) ).

cnf(refute_0_2278,plain,
    meet(X_44,join(a,meet(X_44,b))) = meet(X_44,b),
    inference(resolve,[$cnf( $equal(meet(X_44,b),meet(X_44,join(a,meet(X_44,b)))) )],[refute_0_2276,refute_0_2277]) ).

cnf(refute_0_2279,plain,
    ( meet(X_44,join(a,meet(X_44,b))) != meet(X_44,b)
    | meet(X_44,meet(X_43,join(a,meet(X_44,b)))) != meet(X_43,meet(X_44,join(a,meet(X_44,b))))
    | meet(X_44,meet(X_43,join(a,meet(X_44,b)))) = meet(X_43,meet(X_44,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_44,meet(X_43,join(a,meet(X_44,b)))),meet(X_43,meet(X_44,join(a,meet(X_44,b))))) ),[1,1],$fot(meet(X_44,b))]]) ).

cnf(refute_0_2280,plain,
    ( meet(X_44,meet(X_43,join(a,meet(X_44,b)))) != meet(X_43,meet(X_44,join(a,meet(X_44,b))))
    | meet(X_44,meet(X_43,join(a,meet(X_44,b)))) = meet(X_43,meet(X_44,b)) ),
    inference(resolve,[$cnf( $equal(meet(X_44,join(a,meet(X_44,b))),meet(X_44,b)) )],[refute_0_2278,refute_0_2279]) ).

cnf(refute_0_2281,plain,
    meet(X_44,meet(X_43,join(a,meet(X_44,b)))) = meet(X_43,meet(X_44,b)),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_43,join(a,meet(X_44,b)))),meet(X_43,meet(X_44,join(a,meet(X_44,b))))) )],[refute_0_2275,refute_0_2280]) ).

cnf(refute_0_2282,plain,
    meet(join(X_586,a),meet(X_43,join(a,meet(join(X_586,a),b)))) = meet(X_43,meet(join(X_586,a),b)),
    inference(subst,[],[refute_0_2281:[bind(X_44,$fot(join(X_586,a)))]]) ).

cnf(refute_0_2283,plain,
    meet(join(X_518,a),Y) = meet(Y,join(X_518,a)),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(join(X_518,a)))]]) ).

cnf(refute_0_2284,plain,
    ( meet(Y,join(X_518,a)) != meet(Y,join(a,X_518))
    | meet(join(X_518,a),Y) != meet(Y,join(X_518,a))
    | meet(join(X_518,a),Y) = meet(Y,join(a,X_518)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_518,a),Y),meet(Y,join(X_518,a))) ),[1],$fot(meet(Y,join(a,X_518)))]]) ).

cnf(refute_0_2285,plain,
    ( meet(join(X_518,a),Y) != meet(Y,join(X_518,a))
    | meet(join(X_518,a),Y) = meet(Y,join(a,X_518)) ),
    inference(resolve,[$cnf( $equal(meet(Y,join(X_518,a)),meet(Y,join(a,X_518))) )],[refute_0_1776,refute_0_2284]) ).

cnf(refute_0_2286,plain,
    meet(join(X_518,a),Y) = meet(Y,join(a,X_518)),
    inference(resolve,[$cnf( $equal(meet(join(X_518,a),Y),meet(Y,join(X_518,a))) )],[refute_0_2283,refute_0_2285]) ).

cnf(refute_0_2287,plain,
    meet(join(X_586,a),b) = meet(b,join(a,X_586)),
    inference(subst,[],[refute_0_2286:[bind(Y,$fot(b)),bind(X_518,$fot(X_586))]]) ).

cnf(refute_0_2288,plain,
    ( meet(join(X_586,a),b) != meet(b,join(a,X_586))
    | meet(join(X_586,a),meet(X_43,join(a,meet(join(X_586,a),b)))) != meet(X_43,meet(join(X_586,a),b))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) = meet(X_43,meet(join(X_586,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_586,a),meet(X_43,join(a,meet(join(X_586,a),b)))),meet(X_43,meet(join(X_586,a),b))) ),[0,1,1,1],$fot(meet(b,join(a,X_586)))]]) ).

cnf(refute_0_2289,plain,
    ( meet(join(X_586,a),meet(X_43,join(a,meet(join(X_586,a),b)))) != meet(X_43,meet(join(X_586,a),b))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) = meet(X_43,meet(join(X_586,a),b)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_586,a),b),meet(b,join(a,X_586))) )],[refute_0_2287,refute_0_2288]) ).

cnf(refute_0_2290,plain,
    meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) = meet(X_43,meet(join(X_586,a),b)),
    inference(resolve,[$cnf( $equal(meet(join(X_586,a),meet(X_43,join(a,meet(join(X_586,a),b)))),meet(X_43,meet(join(X_586,a),b))) )],[refute_0_2282,refute_0_2289]) ).

cnf(refute_0_2291,plain,
    join(a,join(a,meet(b,X_586))) = join(a,meet(b,X_586)),
    inference(subst,[],[refute_0_230:[bind(X_32,$fot(a)),bind(X_33,$fot(meet(b,X_586)))]]) ).

cnf(refute_0_2292,plain,
    meet(b,join(a,X_586)) = join(a,meet(b,X_586)),
    inference(subst,[],[refute_0_1627:[bind(Y,$fot(X_586))]]) ).

cnf(refute_0_2293,plain,
    join(a,meet(b,join(a,X_586))) = join(a,meet(b,join(a,X_586))),
    introduced(tautology,[refl,[$fot(join(a,meet(b,join(a,X_586))))]]) ).

cnf(refute_0_2294,plain,
    ( join(a,meet(b,join(a,X_586))) != join(a,meet(b,join(a,X_586)))
    | meet(b,join(a,X_586)) != join(a,meet(b,X_586))
    | join(a,meet(b,join(a,X_586))) = join(a,join(a,meet(b,X_586))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(a,meet(b,join(a,X_586))),join(a,meet(b,join(a,X_586)))) ),[1,1],$fot(join(a,meet(b,X_586)))]]) ).

cnf(refute_0_2295,plain,
    ( meet(b,join(a,X_586)) != join(a,meet(b,X_586))
    | join(a,meet(b,join(a,X_586))) = join(a,join(a,meet(b,X_586))) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,join(a,X_586))),join(a,meet(b,join(a,X_586)))) )],[refute_0_2293,refute_0_2294]) ).

cnf(refute_0_2296,plain,
    join(a,meet(b,join(a,X_586))) = join(a,join(a,meet(b,X_586))),
    inference(resolve,[$cnf( $equal(meet(b,join(a,X_586)),join(a,meet(b,X_586))) )],[refute_0_2292,refute_0_2295]) ).

cnf(refute_0_2297,plain,
    ( join(a,join(a,meet(b,X_586))) != join(a,meet(b,X_586))
    | join(a,meet(b,join(a,X_586))) != join(a,join(a,meet(b,X_586)))
    | join(a,meet(b,join(a,X_586))) = join(a,meet(b,X_586)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(a,meet(b,join(a,X_586))))),bind(Y0,$fot(join(a,join(a,meet(b,X_586))))),bind(Z0,$fot(join(a,meet(b,X_586))))]]) ).

cnf(refute_0_2298,plain,
    ( join(a,join(a,meet(b,X_586))) != join(a,meet(b,X_586))
    | join(a,meet(b,join(a,X_586))) = join(a,meet(b,X_586)) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,join(a,X_586))),join(a,join(a,meet(b,X_586)))) )],[refute_0_2296,refute_0_2297]) ).

cnf(refute_0_2299,plain,
    join(a,meet(b,join(a,X_586))) = join(a,meet(b,X_586)),
    inference(resolve,[$cnf( $equal(join(a,join(a,meet(b,X_586))),join(a,meet(b,X_586))) )],[refute_0_2291,refute_0_2298]) ).

cnf(refute_0_2300,plain,
    meet(X_43,join(a,meet(b,join(a,X_586)))) = meet(X_43,join(a,meet(b,join(a,X_586)))),
    introduced(tautology,[refl,[$fot(meet(X_43,join(a,meet(b,join(a,X_586)))))]]) ).

cnf(refute_0_2301,plain,
    ( join(a,meet(b,join(a,X_586))) != join(a,meet(b,X_586))
    | meet(X_43,join(a,meet(b,join(a,X_586)))) != meet(X_43,join(a,meet(b,join(a,X_586))))
    | meet(X_43,join(a,meet(b,join(a,X_586)))) = meet(X_43,join(a,meet(b,X_586))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,join(a,meet(b,join(a,X_586)))),meet(X_43,join(a,meet(b,join(a,X_586))))) ),[1,1],$fot(join(a,meet(b,X_586)))]]) ).

cnf(refute_0_2302,plain,
    ( join(a,meet(b,join(a,X_586))) != join(a,meet(b,X_586))
    | meet(X_43,join(a,meet(b,join(a,X_586)))) = meet(X_43,join(a,meet(b,X_586))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,join(a,meet(b,join(a,X_586)))),meet(X_43,join(a,meet(b,join(a,X_586))))) )],[refute_0_2300,refute_0_2301]) ).

cnf(refute_0_2303,plain,
    meet(X_43,join(a,meet(b,join(a,X_586)))) = meet(X_43,join(a,meet(b,X_586))),
    inference(resolve,[$cnf( $equal(join(a,meet(b,join(a,X_586))),join(a,meet(b,X_586))) )],[refute_0_2299,refute_0_2302]) ).

cnf(refute_0_2304,plain,
    meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) = meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))),
    introduced(tautology,[refl,[$fot(meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))))]]) ).

cnf(refute_0_2305,plain,
    ( meet(X_43,join(a,meet(b,join(a,X_586)))) != meet(X_43,join(a,meet(b,X_586)))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) != meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586)))))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) = meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))),meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586)))))) ),[1,1],$fot(meet(X_43,join(a,meet(b,X_586))))]]) ).

cnf(refute_0_2306,plain,
    ( meet(X_43,join(a,meet(b,join(a,X_586)))) != meet(X_43,join(a,meet(b,X_586)))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) = meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))),meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586)))))) )],[refute_0_2304,refute_0_2305]) ).

cnf(refute_0_2307,plain,
    meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) = meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))),
    inference(resolve,[$cnf( $equal(meet(X_43,join(a,meet(b,join(a,X_586)))),meet(X_43,join(a,meet(b,X_586)))) )],[refute_0_2303,refute_0_2306]) ).

cnf(refute_0_2308,plain,
    ( meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) != meet(X_43,meet(join(X_586,a),b))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) != meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586))))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))) = meet(X_43,meet(join(X_586,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))),meet(X_43,meet(join(X_586,a),b))) ),[0],$fot(meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))))]]) ).

cnf(refute_0_2309,plain,
    ( meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) != meet(X_43,meet(join(X_586,a),b))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))) = meet(X_43,meet(join(X_586,a),b)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))),meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586))))) )],[refute_0_2307,refute_0_2308]) ).

cnf(refute_0_2310,plain,
    meet(X_43,meet(b,join(a,X_586))) = meet(X_43,meet(b,join(a,X_586))),
    introduced(tautology,[refl,[$fot(meet(X_43,meet(b,join(a,X_586))))]]) ).

cnf(refute_0_2311,plain,
    ( meet(X_43,meet(b,join(a,X_586))) != meet(X_43,meet(b,join(a,X_586)))
    | meet(b,join(a,X_586)) != join(a,meet(b,X_586))
    | meet(X_43,meet(b,join(a,X_586))) = meet(X_43,join(a,meet(b,X_586))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(b,join(a,X_586))),meet(X_43,meet(b,join(a,X_586)))) ),[1,1],$fot(join(a,meet(b,X_586)))]]) ).

cnf(refute_0_2312,plain,
    ( meet(b,join(a,X_586)) != join(a,meet(b,X_586))
    | meet(X_43,meet(b,join(a,X_586))) = meet(X_43,join(a,meet(b,X_586))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(b,join(a,X_586))),meet(X_43,meet(b,join(a,X_586)))) )],[refute_0_2310,refute_0_2311]) ).

cnf(refute_0_2313,plain,
    meet(X_43,meet(b,join(a,X_586))) = meet(X_43,join(a,meet(b,X_586))),
    inference(resolve,[$cnf( $equal(meet(b,join(a,X_586)),join(a,meet(b,X_586))) )],[refute_0_2292,refute_0_2312]) ).

cnf(refute_0_2314,plain,
    meet(X_43,meet(join(X_518,a),X_45)) = meet(X_43,meet(X_45,join(X_518,a))),
    inference(subst,[],[refute_0_415:[bind(X_44,$fot(join(X_518,a)))]]) ).

cnf(refute_0_2315,plain,
    meet(X_45,join(X_518,a)) = meet(X_45,join(a,X_518)),
    inference(subst,[],[refute_0_743:[bind(X_252,$fot(X_518)),bind(X_274,$fot(X_45))]]) ).

cnf(refute_0_2316,plain,
    ( meet(X_43,meet(join(X_518,a),X_45)) != meet(X_43,meet(X_45,join(X_518,a)))
    | meet(X_45,join(X_518,a)) != meet(X_45,join(a,X_518))
    | meet(X_43,meet(join(X_518,a),X_45)) = meet(X_43,meet(X_45,join(a,X_518))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(join(X_518,a),X_45)),meet(X_43,meet(X_45,join(X_518,a)))) ),[1,1],$fot(meet(X_45,join(a,X_518)))]]) ).

cnf(refute_0_2317,plain,
    ( meet(X_43,meet(join(X_518,a),X_45)) != meet(X_43,meet(X_45,join(X_518,a)))
    | meet(X_43,meet(join(X_518,a),X_45)) = meet(X_43,meet(X_45,join(a,X_518))) ),
    inference(resolve,[$cnf( $equal(meet(X_45,join(X_518,a)),meet(X_45,join(a,X_518))) )],[refute_0_2315,refute_0_2316]) ).

cnf(refute_0_2318,plain,
    meet(X_43,meet(join(X_518,a),X_45)) = meet(X_43,meet(X_45,join(a,X_518))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(join(X_518,a),X_45)),meet(X_43,meet(X_45,join(X_518,a)))) )],[refute_0_2314,refute_0_2317]) ).

cnf(refute_0_2319,plain,
    meet(X_43,meet(join(X_586,a),b)) = meet(X_43,meet(b,join(a,X_586))),
    inference(subst,[],[refute_0_2318:[bind(X_45,$fot(b)),bind(X_518,$fot(X_586))]]) ).

cnf(refute_0_2320,plain,
    ( meet(X_43,meet(b,join(a,X_586))) != meet(X_43,join(a,meet(b,X_586)))
    | meet(X_43,meet(join(X_586,a),b)) != meet(X_43,meet(b,join(a,X_586)))
    | meet(X_43,meet(join(X_586,a),b)) = meet(X_43,join(a,meet(b,X_586))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_43,meet(join(X_586,a),b)))),bind(Y0,$fot(meet(X_43,meet(b,join(a,X_586))))),bind(Z0,$fot(meet(X_43,join(a,meet(b,X_586)))))]]) ).

cnf(refute_0_2321,plain,
    ( meet(X_43,meet(b,join(a,X_586))) != meet(X_43,join(a,meet(b,X_586)))
    | meet(X_43,meet(join(X_586,a),b)) = meet(X_43,join(a,meet(b,X_586))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(join(X_586,a),b)),meet(X_43,meet(b,join(a,X_586)))) )],[refute_0_2319,refute_0_2320]) ).

cnf(refute_0_2322,plain,
    meet(X_43,meet(join(X_586,a),b)) = meet(X_43,join(a,meet(b,X_586))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(b,join(a,X_586))),meet(X_43,join(a,meet(b,X_586)))) )],[refute_0_2313,refute_0_2321]) ).

cnf(refute_0_2323,plain,
    ( meet(X_43,meet(join(X_586,a),b)) != meet(X_43,join(a,meet(b,X_586)))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))) != meet(X_43,meet(join(X_586,a),b))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))) = meet(X_43,join(a,meet(b,X_586))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))),meet(X_43,meet(join(X_586,a),b))) ),[1],$fot(meet(X_43,join(a,meet(b,X_586))))]]) ).

cnf(refute_0_2324,plain,
    ( meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))) != meet(X_43,meet(join(X_586,a),b))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))) = meet(X_43,join(a,meet(b,X_586))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(join(X_586,a),b)),meet(X_43,join(a,meet(b,X_586)))) )],[refute_0_2322,refute_0_2323]) ).

cnf(refute_0_2325,plain,
    ( meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))) != meet(X_43,meet(join(X_586,a),b))
    | meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))) = meet(X_43,join(a,meet(b,X_586))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))),meet(X_43,meet(join(X_586,a),b))) )],[refute_0_2309,refute_0_2324]) ).

cnf(refute_0_2326,plain,
    meet(join(X_586,a),meet(X_43,join(a,meet(b,X_586)))) = meet(X_43,join(a,meet(b,X_586))),
    inference(resolve,[$cnf( $equal(meet(join(X_586,a),meet(X_43,join(a,meet(b,join(a,X_586))))),meet(X_43,meet(join(X_586,a),b))) )],[refute_0_2290,refute_0_2325]) ).

cnf(refute_0_2327,plain,
    meet(join(X_518,a),meet(X_712,join(a,meet(b,X_518)))) = meet(X_712,join(a,meet(b,X_518))),
    inference(subst,[],[refute_0_2326:[bind(X_43,$fot(X_712)),bind(X_586,$fot(X_518))]]) ).

cnf(refute_0_2328,plain,
    join(a,join(a,meet(b,X_518))) = join(a,meet(b,X_518)),
    inference(subst,[],[refute_0_230:[bind(X_32,$fot(a)),bind(X_33,$fot(meet(b,X_518)))]]) ).

cnf(refute_0_2329,plain,
    join(a,meet(b,join(a,X_518))) = join(a,meet(b,join(a,X_518))),
    introduced(tautology,[refl,[$fot(join(a,meet(b,join(a,X_518))))]]) ).

cnf(refute_0_2330,plain,
    ( join(a,meet(b,join(a,X_518))) != join(a,meet(b,join(a,X_518)))
    | meet(b,join(a,X_518)) != join(a,meet(b,X_518))
    | join(a,meet(b,join(a,X_518))) = join(a,join(a,meet(b,X_518))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(a,meet(b,join(a,X_518))),join(a,meet(b,join(a,X_518)))) ),[1,1],$fot(join(a,meet(b,X_518)))]]) ).

cnf(refute_0_2331,plain,
    ( meet(b,join(a,X_518)) != join(a,meet(b,X_518))
    | join(a,meet(b,join(a,X_518))) = join(a,join(a,meet(b,X_518))) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,join(a,X_518))),join(a,meet(b,join(a,X_518)))) )],[refute_0_2329,refute_0_2330]) ).

cnf(refute_0_2332,plain,
    join(a,meet(b,join(a,X_518))) = join(a,join(a,meet(b,X_518))),
    inference(resolve,[$cnf( $equal(meet(b,join(a,X_518)),join(a,meet(b,X_518))) )],[refute_0_2264,refute_0_2331]) ).

cnf(refute_0_2333,plain,
    ( join(a,join(a,meet(b,X_518))) != join(a,meet(b,X_518))
    | join(a,meet(b,join(a,X_518))) != join(a,join(a,meet(b,X_518)))
    | join(a,meet(b,join(a,X_518))) = join(a,meet(b,X_518)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(a,meet(b,join(a,X_518))))),bind(Y0,$fot(join(a,join(a,meet(b,X_518))))),bind(Z0,$fot(join(a,meet(b,X_518))))]]) ).

cnf(refute_0_2334,plain,
    ( join(a,join(a,meet(b,X_518))) != join(a,meet(b,X_518))
    | join(a,meet(b,join(a,X_518))) = join(a,meet(b,X_518)) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,join(a,X_518))),join(a,join(a,meet(b,X_518)))) )],[refute_0_2332,refute_0_2333]) ).

cnf(refute_0_2335,plain,
    join(a,meet(b,join(a,X_518))) = join(a,meet(b,X_518)),
    inference(resolve,[$cnf( $equal(join(a,join(a,meet(b,X_518))),join(a,meet(b,X_518))) )],[refute_0_2328,refute_0_2334]) ).

cnf(refute_0_2336,plain,
    meet(X_712,join(a,meet(b,join(a,X_518)))) = meet(X_712,join(a,meet(b,join(a,X_518)))),
    introduced(tautology,[refl,[$fot(meet(X_712,join(a,meet(b,join(a,X_518)))))]]) ).

cnf(refute_0_2337,plain,
    ( join(a,meet(b,join(a,X_518))) != join(a,meet(b,X_518))
    | meet(X_712,join(a,meet(b,join(a,X_518)))) != meet(X_712,join(a,meet(b,join(a,X_518))))
    | meet(X_712,join(a,meet(b,join(a,X_518)))) = meet(X_712,join(a,meet(b,X_518))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_712,join(a,meet(b,join(a,X_518)))),meet(X_712,join(a,meet(b,join(a,X_518))))) ),[1,1],$fot(join(a,meet(b,X_518)))]]) ).

cnf(refute_0_2338,plain,
    ( join(a,meet(b,join(a,X_518))) != join(a,meet(b,X_518))
    | meet(X_712,join(a,meet(b,join(a,X_518)))) = meet(X_712,join(a,meet(b,X_518))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,join(a,meet(b,join(a,X_518)))),meet(X_712,join(a,meet(b,join(a,X_518))))) )],[refute_0_2336,refute_0_2337]) ).

cnf(refute_0_2339,plain,
    meet(X_712,join(a,meet(b,join(a,X_518)))) = meet(X_712,join(a,meet(b,X_518))),
    inference(resolve,[$cnf( $equal(join(a,meet(b,join(a,X_518))),join(a,meet(b,X_518))) )],[refute_0_2335,refute_0_2338]) ).

cnf(refute_0_2340,plain,
    meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) = meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))),
    introduced(tautology,[refl,[$fot(meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))]]) ).

cnf(refute_0_2341,plain,
    ( meet(X_712,join(a,meet(b,join(a,X_518)))) != meet(X_712,join(a,meet(b,X_518)))
    | meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) != meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))
    | meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) = meet(join(X_518,a),meet(X_712,join(a,meet(b,X_518)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))),meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) ),[1,1],$fot(meet(X_712,join(a,meet(b,X_518))))]]) ).

cnf(refute_0_2342,plain,
    ( meet(X_712,join(a,meet(b,join(a,X_518)))) != meet(X_712,join(a,meet(b,X_518)))
    | meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) = meet(join(X_518,a),meet(X_712,join(a,meet(b,X_518)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))),meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) )],[refute_0_2340,refute_0_2341]) ).

cnf(refute_0_2343,plain,
    meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) = meet(join(X_518,a),meet(X_712,join(a,meet(b,X_518)))),
    inference(resolve,[$cnf( $equal(meet(X_712,join(a,meet(b,join(a,X_518)))),meet(X_712,join(a,meet(b,X_518)))) )],[refute_0_2339,refute_0_2342]) ).

cnf(refute_0_2344,plain,
    ( meet(join(X_518,a),meet(X_712,join(a,meet(b,X_518)))) != meet(X_712,join(a,meet(b,X_518)))
    | meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) != meet(join(X_518,a),meet(X_712,join(a,meet(b,X_518))))
    | meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) = meet(X_712,join(a,meet(b,X_518))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))),bind(Y0,$fot(meet(join(X_518,a),meet(X_712,join(a,meet(b,X_518)))))),bind(Z0,$fot(meet(X_712,join(a,meet(b,X_518)))))]]) ).

cnf(refute_0_2345,plain,
    ( meet(join(X_518,a),meet(X_712,join(a,meet(b,X_518)))) != meet(X_712,join(a,meet(b,X_518)))
    | meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) = meet(X_712,join(a,meet(b,X_518))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))),meet(join(X_518,a),meet(X_712,join(a,meet(b,X_518))))) )],[refute_0_2343,refute_0_2344]) ).

cnf(refute_0_2346,plain,
    meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) = meet(X_712,join(a,meet(b,X_518))),
    inference(resolve,[$cnf( $equal(meet(join(X_518,a),meet(X_712,join(a,meet(b,X_518)))),meet(X_712,join(a,meet(b,X_518)))) )],[refute_0_2327,refute_0_2345]) ).

cnf(refute_0_2347,plain,
    meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) = meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))),
    introduced(tautology,[refl,[$fot(meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))))]]) ).

cnf(refute_0_2348,plain,
    ( meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) != meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))
    | meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) != meet(X_712,join(a,meet(b,X_518)))
    | meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) = meet(b,meet(X_712,join(a,meet(b,X_518)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))),meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))) ),[1,1],$fot(meet(X_712,join(a,meet(b,X_518))))]]) ).

cnf(refute_0_2349,plain,
    ( meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))) != meet(X_712,join(a,meet(b,X_518)))
    | meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) = meet(b,meet(X_712,join(a,meet(b,X_518)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))),meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))) )],[refute_0_2347,refute_0_2348]) ).

cnf(refute_0_2350,plain,
    meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) = meet(b,meet(X_712,join(a,meet(b,X_518)))),
    inference(resolve,[$cnf( $equal(meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))),meet(X_712,join(a,meet(b,X_518)))) )],[refute_0_2346,refute_0_2349]) ).

cnf(refute_0_2351,plain,
    meet(meet(join(a,X_588),Y),Z) = meet(join(a,X_588),meet(Y,Z)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(join(a,X_588)))]]) ).

cnf(refute_0_2352,plain,
    ( meet(join(a,X_588),Y) != meet(Y,join(X_588,a))
    | meet(meet(join(a,X_588),Y),Z) != meet(join(a,X_588),meet(Y,Z))
    | meet(meet(Y,join(X_588,a)),Z) = meet(join(a,X_588),meet(Y,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(a,X_588),Y),Z),meet(join(a,X_588),meet(Y,Z))) ),[0,0],$fot(meet(Y,join(X_588,a)))]]) ).

cnf(refute_0_2353,plain,
    ( meet(meet(join(a,X_588),Y),Z) != meet(join(a,X_588),meet(Y,Z))
    | meet(meet(Y,join(X_588,a)),Z) = meet(join(a,X_588),meet(Y,Z)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_588),Y),meet(Y,join(X_588,a))) )],[refute_0_1782,refute_0_2352]) ).

cnf(refute_0_2354,plain,
    meet(meet(Y,join(X_588,a)),Z) = meet(join(a,X_588),meet(Y,Z)),
    inference(resolve,[$cnf( $equal(meet(meet(join(a,X_588),Y),Z),meet(join(a,X_588),meet(Y,Z))) )],[refute_0_2351,refute_0_2353]) ).

cnf(refute_0_2355,plain,
    meet(meet(Y,join(X_588,a)),Z) = meet(Y,meet(join(X_588,a),Z)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(Y)),bind(Y,$fot(join(X_588,a)))]]) ).

cnf(refute_0_2356,plain,
    ( meet(meet(Y,join(X_588,a)),Z) != meet(Y,meet(join(X_588,a),Z))
    | meet(meet(Y,join(X_588,a)),Z) != meet(join(a,X_588),meet(Y,Z))
    | meet(Y,meet(join(X_588,a),Z)) = meet(join(a,X_588),meet(Y,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(Y,join(X_588,a)),Z),meet(join(a,X_588),meet(Y,Z))) ),[0],$fot(meet(Y,meet(join(X_588,a),Z)))]]) ).

cnf(refute_0_2357,plain,
    ( meet(meet(Y,join(X_588,a)),Z) != meet(join(a,X_588),meet(Y,Z))
    | meet(Y,meet(join(X_588,a),Z)) = meet(join(a,X_588),meet(Y,Z)) ),
    inference(resolve,[$cnf( $equal(meet(meet(Y,join(X_588,a)),Z),meet(Y,meet(join(X_588,a),Z))) )],[refute_0_2355,refute_0_2356]) ).

cnf(refute_0_2358,plain,
    meet(Y,meet(join(X_588,a),Z)) = meet(join(a,X_588),meet(Y,Z)),
    inference(resolve,[$cnf( $equal(meet(meet(Y,join(X_588,a)),Z),meet(join(a,X_588),meet(Y,Z))) )],[refute_0_2354,refute_0_2357]) ).

cnf(refute_0_2359,plain,
    ( meet(Y,meet(join(X_588,a),Z)) != meet(join(a,X_588),meet(Y,Z))
    | meet(join(a,X_588),meet(Y,Z)) = meet(Y,meet(join(X_588,a),Z)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(Y,meet(join(X_588,a),Z)))),bind(Y0,$fot(meet(join(a,X_588),meet(Y,Z))))]]) ).

cnf(refute_0_2360,plain,
    meet(join(a,X_588),meet(Y,Z)) = meet(Y,meet(join(X_588,a),Z)),
    inference(resolve,[$cnf( $equal(meet(Y,meet(join(X_588,a),Z)),meet(join(a,X_588),meet(Y,Z))) )],[refute_0_2358,refute_0_2359]) ).

cnf(refute_0_2361,plain,
    meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))) = meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))),
    inference(subst,[],[refute_0_2360:[bind(Y,$fot(b)),bind(Z,$fot(meet(X_712,join(a,meet(b,join(a,X_518)))))),bind(X_588,$fot(X_518))]]) ).

cnf(refute_0_2362,plain,
    ( meet(join(a,X_518),Y) != meet(Y,join(X_518,a))
    | meet(Y,join(X_518,a)) = meet(join(a,X_518),Y) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(join(a,X_518),Y))),bind(Y0,$fot(meet(Y,join(X_518,a))))]]) ).

cnf(refute_0_2363,plain,
    meet(Y,join(X_518,a)) = meet(join(a,X_518),Y),
    inference(resolve,[$cnf( $equal(meet(join(a,X_518),Y),meet(Y,join(X_518,a))) )],[refute_0_1781,refute_0_2362]) ).

cnf(refute_0_2364,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) = meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))),
    inference(subst,[],[refute_0_2363:[bind(Y,$fot(meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))))]]) ).

cnf(refute_0_2365,plain,
    ( meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))) != meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))
    | meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) != meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))))
    | meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) = meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)))),bind(Y0,$fot(meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))))),bind(Z0,$fot(meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))))]]) ).

cnf(refute_0_2366,plain,
    ( meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))) != meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))
    | meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) = meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)),meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))))) )],[refute_0_2364,refute_0_2365]) ).

cnf(refute_0_2367,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) = meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))),
    inference(resolve,[$cnf( $equal(meet(join(a,X_518),meet(b,meet(X_712,join(a,meet(b,join(a,X_518)))))),meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))) )],[refute_0_2361,refute_0_2366]) ).

cnf(refute_0_2368,plain,
    ( meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) != meet(b,meet(X_712,join(a,meet(b,X_518))))
    | meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) != meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))
    | meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) = meet(b,meet(X_712,join(a,meet(b,X_518)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)))),bind(Y0,$fot(meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))))),bind(Z0,$fot(meet(b,meet(X_712,join(a,meet(b,X_518))))))]]) ).

cnf(refute_0_2369,plain,
    ( meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))) != meet(b,meet(X_712,join(a,meet(b,X_518))))
    | meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) = meet(b,meet(X_712,join(a,meet(b,X_518)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)),meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518))))))) )],[refute_0_2367,refute_0_2368]) ).

cnf(refute_0_2370,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) = meet(b,meet(X_712,join(a,meet(b,X_518)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(X_518,a),meet(X_712,join(a,meet(b,join(a,X_518)))))),meet(b,meet(X_712,join(a,meet(b,X_518))))) )],[refute_0_2350,refute_0_2369]) ).

cnf(refute_0_2371,plain,
    ( meet(X_712,join(a,meet(b,X_518))) != meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))
    | meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)) != meet(b,meet(X_712,join(a,meet(b,X_518))))
    | meet(X_712,join(a,meet(b,X_518))) = meet(b,meet(X_712,join(a,meet(b,X_518)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_712,join(a,meet(b,X_518))),meet(b,meet(X_712,join(a,meet(b,X_518))))) ),[0],$fot(meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)))]]) ).

cnf(refute_0_2372,plain,
    ( meet(X_712,join(a,meet(b,X_518))) != meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))
    | meet(X_712,join(a,meet(b,X_518))) = meet(b,meet(X_712,join(a,meet(b,X_518)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a)),meet(b,meet(X_712,join(a,meet(b,X_518))))) )],[refute_0_2370,refute_0_2371]) ).

cnf(refute_0_2373,plain,
    ( meet(X_712,meet(join(a,X_518),b)) != meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))
    | meet(X_712,join(a,meet(b,X_518))) = meet(b,meet(X_712,join(a,meet(b,X_518)))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,join(a,meet(b,X_518))),meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))) )],[refute_0_2274,refute_0_2372]) ).

cnf(refute_0_2374,plain,
    meet(X_712,join(a,meet(b,X_518))) = meet(b,meet(X_712,join(a,meet(b,X_518)))),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(join(a,X_518),b)),meet(meet(b,meet(X_712,join(a,meet(b,join(a,X_518))))),join(X_518,a))) )],[refute_0_2263,refute_0_2373]) ).

cnf(refute_0_2375,plain,
    ( meet(X_712,join(a,meet(b,X_518))) != meet(b,meet(X_712,join(a,meet(b,X_518))))
    | meet(b,meet(X_712,join(a,meet(b,X_518)))) = meet(X_712,join(a,meet(b,X_518))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_712,join(a,meet(b,X_518))))),bind(Y0,$fot(meet(b,meet(X_712,join(a,meet(b,X_518))))))]]) ).

cnf(refute_0_2376,plain,
    meet(b,meet(X_712,join(a,meet(b,X_518)))) = meet(X_712,join(a,meet(b,X_518))),
    inference(resolve,[$cnf( $equal(meet(X_712,join(a,meet(b,X_518))),meet(b,meet(X_712,join(a,meet(b,X_518))))) )],[refute_0_2374,refute_0_2375]) ).

cnf(refute_0_2377,plain,
    meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))) = meet(X_712,join(a,meet(b,meet(X,Y)))),
    inference(subst,[],[refute_0_2376:[bind(X_518,$fot(meet(X,Y)))]]) ).

cnf(refute_0_2378,plain,
    meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) = meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))),
    introduced(tautology,[refl,[$fot(meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))]]) ).

cnf(refute_0_2379,plain,
    ( meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) != meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))
    | meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))) != meet(X_712,join(a,meet(b,meet(X,Y))))
    | meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) = meet(Y,meet(X_712,join(a,meet(b,meet(X,Y))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))),meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) ),[1,1],$fot(meet(X_712,join(a,meet(b,meet(X,Y)))))]]) ).

cnf(refute_0_2380,plain,
    ( meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))) != meet(X_712,join(a,meet(b,meet(X,Y))))
    | meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) = meet(Y,meet(X_712,join(a,meet(b,meet(X,Y))))) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))),meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) )],[refute_0_2378,refute_0_2379]) ).

cnf(refute_0_2381,plain,
    meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) = meet(Y,meet(X_712,join(a,meet(b,meet(X,Y))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))),meet(X_712,join(a,meet(b,meet(X,Y))))) )],[refute_0_2377,refute_0_2380]) ).

cnf(refute_0_2382,plain,
    meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) = meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))),
    introduced(tautology,[refl,[$fot(meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))))]]) ).

cnf(refute_0_2383,plain,
    ( meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) != meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))
    | meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) != meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))
    | meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) = meet(X,meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))),meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))) ),[1,1],$fot(meet(Y,meet(X_712,join(a,meet(b,meet(X,Y))))))]]) ).

cnf(refute_0_2384,plain,
    ( meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))) != meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))
    | meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) = meet(X,meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))) ),
    inference(resolve,[$cnf( $equal(meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))),meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))) )],[refute_0_2382,refute_0_2383]) ).

cnf(refute_0_2385,plain,
    meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) = meet(X,meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))),
    inference(resolve,[$cnf( $equal(meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))),meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))) )],[refute_0_2381,refute_0_2384]) ).

cnf(refute_0_2386,plain,
    ( meet(X,meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))) != meet(b,meet(X,meet(Y,X_712)))
    | meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) != meet(X,meet(Y,meet(X_712,join(a,meet(b,meet(X,Y))))))
    | meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) = meet(b,meet(X,meet(Y,X_712))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))))),bind(Y0,$fot(meet(X,meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))))),bind(Z0,$fot(meet(b,meet(X,meet(Y,X_712)))))]]) ).

cnf(refute_0_2387,plain,
    ( meet(X,meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))) != meet(b,meet(X,meet(Y,X_712)))
    | meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) = meet(b,meet(X,meet(Y,X_712))) ),
    inference(resolve,[$cnf( $equal(meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))),meet(X,meet(Y,meet(X_712,join(a,meet(b,meet(X,Y))))))) )],[refute_0_2385,refute_0_2386]) ).

cnf(refute_0_2388,plain,
    meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) = meet(b,meet(X,meet(Y,X_712))),
    inference(resolve,[$cnf( $equal(meet(X,meet(Y,meet(X_712,join(a,meet(b,meet(X,Y)))))),meet(b,meet(X,meet(Y,X_712)))) )],[refute_0_2258,refute_0_2387]) ).

cnf(refute_0_2389,plain,
    ( meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))) != meet(b,meet(X,meet(Y,X_712)))
    | meet(X_712,meet(b,meet(X,Y))) != meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))
    | meet(X_712,meet(b,meet(X,Y))) = meet(b,meet(X,meet(Y,X_712))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_712,meet(b,meet(X,Y))),meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))) ),[1],$fot(meet(b,meet(X,meet(Y,X_712))))]]) ).

cnf(refute_0_2390,plain,
    ( meet(X_712,meet(b,meet(X,Y))) != meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))
    | meet(X_712,meet(b,meet(X,Y))) = meet(b,meet(X,meet(Y,X_712))) ),
    inference(resolve,[$cnf( $equal(meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y))))))),meet(b,meet(X,meet(Y,X_712)))) )],[refute_0_2388,refute_0_2389]) ).

cnf(refute_0_2391,plain,
    ( meet(X_712,meet(meet(X,Y),b)) != meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))
    | meet(X_712,meet(b,meet(X,Y))) = meet(b,meet(X,meet(Y,X_712))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(b,meet(X,Y))),meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))) )],[refute_0_2241,refute_0_2390]) ).

cnf(refute_0_2392,plain,
    meet(X_712,meet(b,meet(X,Y))) = meet(b,meet(X,meet(Y,X_712))),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(meet(X,Y),b)),meet(X,meet(Y,meet(b,meet(X_712,join(a,meet(b,meet(X,Y)))))))) )],[refute_0_2157,refute_0_2391]) ).

cnf(refute_0_2393,plain,
    meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) = meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))),
    inference(subst,[],[refute_0_2392:[bind(X,$fot(X_712)),bind(Y,$fot(join(a,meet(b,Y)))),bind(X_712,$fot(meet(X,Y)))]]) ).

cnf(refute_0_2394,plain,
    ( meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) != meet(Y,meet(b,meet(X_712,X)))
    | meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) != meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))))
    | meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) = meet(Y,meet(b,meet(X_712,X))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))))),bind(Y0,$fot(meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))))),bind(Z0,$fot(meet(Y,meet(b,meet(X_712,X)))))]]) ).

cnf(refute_0_2395,plain,
    ( meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))) != meet(Y,meet(b,meet(X_712,X)))
    | meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) = meet(Y,meet(b,meet(X_712,X))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))),meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y))))) )],[refute_0_2393,refute_0_2394]) ).

cnf(refute_0_2396,plain,
    meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) = meet(Y,meet(b,meet(X_712,X))),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,meet(join(a,meet(b,Y)),meet(X,Y)))),meet(Y,meet(b,meet(X_712,X)))) )],[refute_0_2152,refute_0_2395]) ).

cnf(refute_0_2397,plain,
    ( meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) != meet(X,meet(X_712,meet(Y,b)))
    | meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) != meet(Y,meet(b,meet(X_712,X)))
    | meet(Y,meet(b,meet(X_712,X))) = meet(X,meet(X_712,meet(Y,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))),meet(X,meet(X_712,meet(Y,b)))) ),[0],$fot(meet(Y,meet(b,meet(X_712,X))))]]) ).

cnf(refute_0_2398,plain,
    ( meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))) != meet(X,meet(X_712,meet(Y,b)))
    | meet(Y,meet(b,meet(X_712,X))) = meet(X,meet(X_712,meet(Y,b))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))),meet(Y,meet(b,meet(X_712,X)))) )],[refute_0_2396,refute_0_2397]) ).

cnf(refute_0_2399,plain,
    meet(Y,meet(b,meet(X_712,X))) = meet(X,meet(X_712,meet(Y,b))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(b,meet(X_712,join(a,meet(b,Y))))),meet(X,meet(X_712,meet(Y,b)))) )],[refute_0_2116,refute_0_2398]) ).

cnf(refute_0_2400,plain,
    ( meet(Y,meet(b,meet(X_712,X))) != meet(X,meet(X_712,meet(Y,b)))
    | meet(X,meet(X_712,meet(Y,b))) = meet(Y,meet(b,meet(X_712,X))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(Y,meet(b,meet(X_712,X))))),bind(Y0,$fot(meet(X,meet(X_712,meet(Y,b)))))]]) ).

cnf(refute_0_2401,plain,
    meet(X,meet(X_712,meet(Y,b))) = meet(Y,meet(b,meet(X_712,X))),
    inference(resolve,[$cnf( $equal(meet(Y,meet(b,meet(X_712,X))),meet(X,meet(X_712,meet(Y,b)))) )],[refute_0_2399,refute_0_2400]) ).

cnf(refute_0_2402,plain,
    meet(complement(join(X_400,a)),meet(X_713,meet(b,b))) = meet(b,meet(b,meet(X_713,complement(join(X_400,a))))),
    inference(subst,[],[refute_0_2401:[bind(X,$fot(complement(join(X_400,a)))),bind(Y,$fot(b)),bind(X_712,$fot(X_713))]]) ).

cnf(refute_0_2403,plain,
    ( meet(b,meet(b,meet(X_713,complement(join(X_400,a))))) != meet(b,meet(X_713,complement(join(X_400,a))))
    | meet(complement(join(X_400,a)),meet(X_713,meet(b,b))) != meet(b,meet(b,meet(X_713,complement(join(X_400,a)))))
    | meet(complement(join(X_400,a)),meet(X_713,meet(b,b))) = meet(b,meet(X_713,complement(join(X_400,a)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(join(X_400,a)),meet(X_713,meet(b,b))))),bind(Y0,$fot(meet(b,meet(b,meet(X_713,complement(join(X_400,a))))))),bind(Z0,$fot(meet(b,meet(X_713,complement(join(X_400,a))))))]]) ).

cnf(refute_0_2404,plain,
    ( meet(b,meet(b,meet(X_713,complement(join(X_400,a))))) != meet(b,meet(X_713,complement(join(X_400,a))))
    | meet(complement(join(X_400,a)),meet(X_713,meet(b,b))) = meet(b,meet(X_713,complement(join(X_400,a)))) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(X_400,a)),meet(X_713,meet(b,b))),meet(b,meet(b,meet(X_713,complement(join(X_400,a)))))) )],[refute_0_2402,refute_0_2403]) ).

cnf(refute_0_2405,plain,
    meet(complement(join(X_400,a)),meet(X_713,meet(b,b))) = meet(b,meet(X_713,complement(join(X_400,a)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(b,meet(X_713,complement(join(X_400,a))))),meet(b,meet(X_713,complement(join(X_400,a))))) )],[refute_0_2111,refute_0_2404]) ).

cnf(refute_0_2406,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_44,meet(b,meet(X_712,join(a,meet(b,X_44))))))) = meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)),
    inference(subst,[],[refute_0_526:[bind(X_10,$fot(meet(b,meet(X_712,join(a,meet(b,X_44))))))]]) ).

cnf(refute_0_2407,plain,
    meet(X_44,meet(b,meet(X_712,join(a,meet(b,X_44))))) = meet(X_712,meet(X_44,b)),
    inference(subst,[],[refute_0_772:[bind(X_532,$fot(X_712)),bind(X_533,$fot(X_44))]]) ).

cnf(refute_0_2408,plain,
    ( meet(X_44,meet(b,meet(X_712,join(a,meet(b,X_44))))) != meet(X_712,meet(X_44,b))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_44,meet(b,meet(X_712,join(a,meet(b,X_44))))))) != meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) = meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_44,meet(b,meet(X_712,join(a,meet(b,X_44))))))),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))) ),[0,1,1],$fot(meet(X_712,meet(X_44,b)))]]) ).

cnf(refute_0_2409,plain,
    ( meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_44,meet(b,meet(X_712,join(a,meet(b,X_44))))))) != meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) = meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(b,meet(X_712,join(a,meet(b,X_44))))),meet(X_712,meet(X_44,b))) )],[refute_0_2407,refute_0_2408]) ).

cnf(refute_0_2410,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) = meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_44,meet(b,meet(X_712,join(a,meet(b,X_44))))))),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))) )],[refute_0_2406,refute_0_2409]) ).

cnf(refute_0_2411,plain,
    meet(meet(X_456,b),X_45) = meet(meet(X_456,b),meet(join(X_10,meet(X_456,b)),X_45)),
    inference(subst,[],[refute_0_782:[bind(X_43,$fot(meet(X_456,b)))]]) ).

cnf(refute_0_2412,plain,
    join(X_10,meet(b,X_456)) = join(X_10,meet(X_456,b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(X_10)),bind(X_331,$fot(X_456))]]) ).

cnf(refute_0_2413,plain,
    ( join(X_10,meet(b,X_456)) != join(X_10,meet(X_456,b))
    | join(X_10,meet(X_456,b)) = join(X_10,meet(b,X_456)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_10,meet(b,X_456)))),bind(Y0,$fot(join(X_10,meet(X_456,b))))]]) ).

cnf(refute_0_2414,plain,
    join(X_10,meet(X_456,b)) = join(X_10,meet(b,X_456)),
    inference(resolve,[$cnf( $equal(join(X_10,meet(b,X_456)),join(X_10,meet(X_456,b))) )],[refute_0_2412,refute_0_2413]) ).

cnf(refute_0_2415,plain,
    ( join(X_10,meet(X_456,b)) != join(X_10,meet(b,X_456))
    | meet(meet(X_456,b),X_45) != meet(meet(X_456,b),meet(join(X_10,meet(X_456,b)),X_45))
    | meet(meet(X_456,b),X_45) = meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_456,b),X_45),meet(meet(X_456,b),meet(join(X_10,meet(X_456,b)),X_45))) ),[1,1,0],$fot(join(X_10,meet(b,X_456)))]]) ).

cnf(refute_0_2416,plain,
    ( meet(meet(X_456,b),X_45) != meet(meet(X_456,b),meet(join(X_10,meet(X_456,b)),X_45))
    | meet(meet(X_456,b),X_45) = meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45)) ),
    inference(resolve,[$cnf( $equal(join(X_10,meet(X_456,b)),join(X_10,meet(b,X_456))) )],[refute_0_2414,refute_0_2415]) ).

cnf(refute_0_2417,plain,
    meet(meet(X_456,b),X_45) = meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45)),
    inference(resolve,[$cnf( $equal(meet(meet(X_456,b),X_45),meet(meet(X_456,b),meet(join(X_10,meet(X_456,b)),X_45))) )],[refute_0_2411,refute_0_2416]) ).

cnf(refute_0_2418,plain,
    meet(meet(X_456,b),X_45) = meet(X_456,meet(b,X_45)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_456)),bind(Y,$fot(b)),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_2419,plain,
    ( meet(meet(X_456,b),X_45) != meet(X_456,meet(b,X_45))
    | meet(meet(X_456,b),X_45) != meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45))
    | meet(X_456,meet(b,X_45)) = meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_456,b),X_45),meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45))) ),[0],$fot(meet(X_456,meet(b,X_45)))]]) ).

cnf(refute_0_2420,plain,
    ( meet(meet(X_456,b),X_45) != meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45))
    | meet(X_456,meet(b,X_45)) = meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_456,b),X_45),meet(X_456,meet(b,X_45))) )],[refute_0_2418,refute_0_2419]) ).

cnf(refute_0_2421,plain,
    meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45)) = meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_456)),bind(Y,$fot(b)),bind(Z,$fot(meet(join(X_10,meet(b,X_456)),X_45)))]]) ).

cnf(refute_0_2422,plain,
    ( meet(X_456,meet(b,X_45)) != meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45))
    | meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45)) != meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45)))
    | meet(X_456,meet(b,X_45)) = meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_456,meet(b,X_45)),meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45)))) ),[0],$fot(meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45)))]]) ).

cnf(refute_0_2423,plain,
    ( meet(X_456,meet(b,X_45)) != meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45))
    | meet(X_456,meet(b,X_45)) = meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45)),meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45)))) )],[refute_0_2421,refute_0_2422]) ).

cnf(refute_0_2424,plain,
    ( meet(meet(X_456,b),X_45) != meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45))
    | meet(X_456,meet(b,X_45)) = meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45))) ),
    inference(resolve,[$cnf( $equal(meet(X_456,meet(b,X_45)),meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45))) )],[refute_0_2420,refute_0_2423]) ).

cnf(refute_0_2425,plain,
    meet(X_456,meet(b,X_45)) = meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45))),
    inference(resolve,[$cnf( $equal(meet(meet(X_456,b),X_45),meet(meet(X_456,b),meet(join(X_10,meet(b,X_456)),X_45))) )],[refute_0_2417,refute_0_2424]) ).

cnf(refute_0_2426,plain,
    ( meet(X_456,meet(b,X_45)) != meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45)))
    | meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45))) = meet(X_456,meet(b,X_45)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_456,meet(b,X_45)))),bind(Y0,$fot(meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45)))))]]) ).

cnf(refute_0_2427,plain,
    meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45))) = meet(X_456,meet(b,X_45)),
    inference(resolve,[$cnf( $equal(meet(X_456,meet(b,X_45)),meet(X_456,meet(b,meet(join(X_10,meet(b,X_456)),X_45)))) )],[refute_0_2425,refute_0_2426]) ).

cnf(refute_0_2428,plain,
    meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43))) = meet(X_44,meet(b,X_43)),
    inference(subst,[],[refute_0_2427:[bind(X_10,$fot(a)),bind(X_45,$fot(X_43)),bind(X_456,$fot(X_44))]]) ).

cnf(refute_0_2429,plain,
    meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))) = meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))),
    introduced(tautology,[refl,[$fot(meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))))]]) ).

cnf(refute_0_2430,plain,
    ( meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43))) != meet(X_44,meet(b,X_43))
    | meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))) != meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43))))
    | meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))) = meet(X_712,meet(X_44,meet(b,X_43))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))),meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43))))) ),[1,1],$fot(meet(X_44,meet(b,X_43)))]]) ).

cnf(refute_0_2431,plain,
    ( meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43))) != meet(X_44,meet(b,X_43))
    | meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))) = meet(X_712,meet(X_44,meet(b,X_43))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))),meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43))))) )],[refute_0_2429,refute_0_2430]) ).

cnf(refute_0_2432,plain,
    meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))) = meet(X_712,meet(X_44,meet(b,X_43))),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43))),meet(X_44,meet(b,X_43))) )],[refute_0_2428,refute_0_2431]) ).

cnf(refute_0_2433,plain,
    meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) = meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))),
    inference(subst,[],[refute_0_630:[bind(X_15,$fot(X_44)),bind(X_274,$fot(b)),bind(X_276,$fot(meet(join(a,meet(b,X_44)),X_43))),bind(X_43,$fot(X_712))]]) ).

cnf(refute_0_2434,plain,
    ( meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) != meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43))))
    | meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))) != meet(X_712,meet(X_44,meet(b,X_43)))
    | meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) = meet(X_712,meet(X_44,meet(b,X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))))),bind(Y0,$fot(meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))))),bind(Z0,$fot(meet(X_712,meet(X_44,meet(b,X_43)))))]]) ).

cnf(refute_0_2435,plain,
    ( meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))) != meet(X_712,meet(X_44,meet(b,X_43)))
    | meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) = meet(X_712,meet(X_44,meet(b,X_43))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))),meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43))))) )],[refute_0_2433,refute_0_2434]) ).

cnf(refute_0_2436,plain,
    meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) = meet(X_712,meet(X_44,meet(b,X_43))),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(X_44,meet(b,meet(join(a,meet(b,X_44)),X_43)))),meet(X_712,meet(X_44,meet(b,X_43)))) )],[refute_0_2432,refute_0_2435]) ).

cnf(refute_0_2437,plain,
    meet(b,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) = meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))),
    inference(subst,[],[refute_0_53:[bind(X_10,$fot(b)),bind(X_15,$fot(meet(X_712,meet(join(a,meet(b,X_44)),X_43))))]]) ).

cnf(refute_0_2438,plain,
    meet(meet(X_712,join(a,meet(b,X_44))),X_43) = meet(X_712,meet(join(a,meet(b,X_44)),X_43)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_712)),bind(Y,$fot(join(a,meet(b,X_44)))),bind(Z,$fot(X_43))]]) ).

cnf(refute_0_2439,plain,
    meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)) = meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)),
    introduced(tautology,[refl,[$fot(meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)))]]) ).

cnf(refute_0_2440,plain,
    ( meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)) != meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43))
    | meet(meet(X_712,join(a,meet(b,X_44))),X_43) != meet(X_712,meet(join(a,meet(b,X_44)),X_43))
    | meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)) = meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)),meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43))) ),[1,1],$fot(meet(X_712,meet(join(a,meet(b,X_44)),X_43)))]]) ).

cnf(refute_0_2441,plain,
    ( meet(meet(X_712,join(a,meet(b,X_44))),X_43) != meet(X_712,meet(join(a,meet(b,X_44)),X_43))
    | meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)) = meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)),meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43))) )],[refute_0_2439,refute_0_2440]) ).

cnf(refute_0_2442,plain,
    meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)) = meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))),
    inference(resolve,[$cnf( $equal(meet(meet(X_712,join(a,meet(b,X_44))),X_43),meet(X_712,meet(join(a,meet(b,X_44)),X_43))) )],[refute_0_2438,refute_0_2441]) ).

cnf(refute_0_2443,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43) = meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(meet(X_712,join(a,meet(b,X_44))))),bind(Z,$fot(X_43))]]) ).

cnf(refute_0_2444,plain,
    ( meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)) != meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43) != meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43) = meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),bind(Y0,$fot(meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)))),bind(Z0,$fot(meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))))]]) ).

cnf(refute_0_2445,plain,
    ( meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)) != meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43) = meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43),meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43))) )],[refute_0_2443,refute_0_2444]) ).

cnf(refute_0_2446,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43) = meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(X_712,join(a,meet(b,X_44))),X_43)),meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) )],[refute_0_2442,refute_0_2445]) ).

cnf(refute_0_2447,plain,
    meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)),
    introduced(tautology,[refl,[$fot(meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))]]) ).

cnf(refute_0_2448,plain,
    ( meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) != meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43) != meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))
    | meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(b,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)),meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) ),[1,1],$fot(meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))]]) ).

cnf(refute_0_2449,plain,
    ( meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43) != meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))
    | meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(b,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)),meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) )],[refute_0_2447,refute_0_2448]) ).

cnf(refute_0_2450,plain,
    meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(b,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43),meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) )],[refute_0_2446,refute_0_2449]) ).

cnf(refute_0_2451,plain,
    ( meet(b,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) != meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))
    | meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) != meet(b,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))
    | meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))),bind(Y0,$fot(meet(b,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))))),bind(Z0,$fot(meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))))]]) ).

cnf(refute_0_2452,plain,
    ( meet(b,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) != meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))
    | meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)),meet(b,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) )],[refute_0_2450,refute_0_2451]) ).

cnf(refute_0_2453,plain,
    meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))),
    inference(resolve,[$cnf( $equal(meet(b,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))),meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) )],[refute_0_2437,refute_0_2452]) ).

cnf(refute_0_2454,plain,
    meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),
    introduced(tautology,[refl,[$fot(meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))))]]) ).

cnf(refute_0_2455,plain,
    ( meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) != meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))
    | meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) != meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))
    | meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))) ),[1,1],$fot(meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))]]) ).

cnf(refute_0_2456,plain,
    ( meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) != meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))
    | meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) ),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))) )],[refute_0_2454,refute_0_2455]) ).

cnf(refute_0_2457,plain,
    meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)),meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) )],[refute_0_2453,refute_0_2456]) ).

cnf(refute_0_2458,plain,
    meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_44)),bind(Y,$fot(b)),bind(Z,$fot(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))]]) ).

cnf(refute_0_2459,plain,
    ( meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) != meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))
    | meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) != meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))
    | meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))),bind(Y0,$fot(meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))))),bind(Z0,$fot(meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))))]]) ).

cnf(refute_0_2460,plain,
    ( meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) != meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))
    | meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)),meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))) )],[refute_0_2458,refute_0_2459]) ).

cnf(refute_0_2461,plain,
    meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) = meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(b,meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) )],[refute_0_2457,refute_0_2460]) ).

cnf(refute_0_2462,plain,
    meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),
    introduced(tautology,[refl,[$fot(meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))))]]) ).

cnf(refute_0_2463,plain,
    ( meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) != meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))
    | meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) != meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))
    | meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))) ),[1,1],$fot(meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))))]]) ).

cnf(refute_0_2464,plain,
    ( meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)) != meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))
    | meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))) )],[refute_0_2462,refute_0_2463]) ).

cnf(refute_0_2465,plain,
    meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)),meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) )],[refute_0_2461,refute_0_2464]) ).

cnf(refute_0_2466,plain,
    ( meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) != meet(X_712,meet(X_44,meet(b,X_43)))
    | meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) != meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))))
    | meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_712,meet(X_44,meet(b,X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))))),bind(Y0,$fot(meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))))),bind(Z0,$fot(meet(X_712,meet(X_44,meet(b,X_43)))))]]) ).

cnf(refute_0_2467,plain,
    ( meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))) != meet(X_712,meet(X_44,meet(b,X_43)))
    | meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_712,meet(X_44,meet(b,X_43))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43)))))) )],[refute_0_2465,refute_0_2466]) ).

cnf(refute_0_2468,plain,
    meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) = meet(X_712,meet(X_44,meet(b,X_43))),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(X_44,meet(b,meet(X_712,meet(join(a,meet(b,X_44)),X_43))))),meet(X_712,meet(X_44,meet(b,X_43)))) )],[refute_0_2436,refute_0_2467]) ).

cnf(refute_0_2469,plain,
    meet(meet(X_633,meet(X_630,meet(X_631,X_10))),join(X_10,meet(X_633,meet(X_630,meet(X_631,X_10))))) = meet(X_633,meet(X_630,meet(X_631,X_10))),
    inference(subst,[],[refute_0_40:[bind(X_9,$fot(meet(X_633,meet(X_630,meet(X_631,X_10)))))]]) ).

cnf(refute_0_2470,plain,
    join(X,meet(meet(X_43,X_44),X)) = X,
    inference(subst,[],[refute_0_2:[bind(Y,$fot(meet(X_43,X_44)))]]) ).

cnf(refute_0_2471,plain,
    ( join(X,meet(meet(X_43,X_44),X)) != X
    | meet(meet(X_43,X_44),X) != meet(X_43,meet(X_44,X))
    | join(X,meet(X_43,meet(X_44,X))) = X ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,meet(meet(X_43,X_44),X)),X) ),[0,1],$fot(meet(X_43,meet(X_44,X)))]]) ).

cnf(refute_0_2472,plain,
    ( join(X,meet(meet(X_43,X_44),X)) != X
    | join(X,meet(X_43,meet(X_44,X))) = X ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),X),meet(X_43,meet(X_44,X))) )],[refute_0_56,refute_0_2471]) ).

cnf(refute_0_2473,plain,
    join(X,meet(X_43,meet(X_44,X))) = X,
    inference(resolve,[$cnf( $equal(join(X,meet(meet(X_43,X_44),X)),X) )],[refute_0_2470,refute_0_2472]) ).

cnf(refute_0_2474,plain,
    join(X_83,meet(X_84,meet(meet(X,Y),X_83))) = X_83,
    inference(subst,[],[refute_0_2473:[bind(X,$fot(X_83)),bind(X_43,$fot(X_84)),bind(X_44,$fot(meet(X,Y)))]]) ).

cnf(refute_0_2475,plain,
    meet(meet(X,Y),X_83) = meet(X,meet(Y,X_83)),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(X_83))]]) ).

cnf(refute_0_2476,plain,
    ( join(X_83,meet(X_84,meet(meet(X,Y),X_83))) != X_83
    | meet(meet(X,Y),X_83) != meet(X,meet(Y,X_83))
    | join(X_83,meet(X_84,meet(X,meet(Y,X_83)))) = X_83 ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_83,meet(X_84,meet(meet(X,Y),X_83))),X_83) ),[0,1,1],$fot(meet(X,meet(Y,X_83)))]]) ).

cnf(refute_0_2477,plain,
    ( join(X_83,meet(X_84,meet(meet(X,Y),X_83))) != X_83
    | join(X_83,meet(X_84,meet(X,meet(Y,X_83)))) = X_83 ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_83),meet(X,meet(Y,X_83))) )],[refute_0_2475,refute_0_2476]) ).

cnf(refute_0_2478,plain,
    join(X_83,meet(X_84,meet(X,meet(Y,X_83)))) = X_83,
    inference(resolve,[$cnf( $equal(join(X_83,meet(X_84,meet(meet(X,Y),X_83))),X_83) )],[refute_0_2474,refute_0_2477]) ).

cnf(refute_0_2479,plain,
    join(X_10,meet(X_633,meet(X_630,meet(X_631,X_10)))) = X_10,
    inference(subst,[],[refute_0_2478:[bind(X,$fot(X_630)),bind(Y,$fot(X_631)),bind(X_83,$fot(X_10)),bind(X_84,$fot(X_633))]]) ).

cnf(refute_0_2480,plain,
    ( join(X_10,meet(X_633,meet(X_630,meet(X_631,X_10)))) != X_10
    | meet(meet(X_633,meet(X_630,meet(X_631,X_10))),join(X_10,meet(X_633,meet(X_630,meet(X_631,X_10))))) != meet(X_633,meet(X_630,meet(X_631,X_10)))
    | meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) = meet(X_633,meet(X_630,meet(X_631,X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_633,meet(X_630,meet(X_631,X_10))),join(X_10,meet(X_633,meet(X_630,meet(X_631,X_10))))),meet(X_633,meet(X_630,meet(X_631,X_10)))) ),[0,1],$fot(X_10)]]) ).

cnf(refute_0_2481,plain,
    ( meet(meet(X_633,meet(X_630,meet(X_631,X_10))),join(X_10,meet(X_633,meet(X_630,meet(X_631,X_10))))) != meet(X_633,meet(X_630,meet(X_631,X_10)))
    | meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) = meet(X_633,meet(X_630,meet(X_631,X_10))) ),
    inference(resolve,[$cnf( $equal(join(X_10,meet(X_633,meet(X_630,meet(X_631,X_10)))),X_10) )],[refute_0_2479,refute_0_2480]) ).

cnf(refute_0_2482,plain,
    meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) = meet(X_633,meet(X_630,meet(X_631,X_10))),
    inference(resolve,[$cnf( $equal(meet(meet(X_633,meet(X_630,meet(X_631,X_10))),join(X_10,meet(X_633,meet(X_630,meet(X_631,X_10))))),meet(X_633,meet(X_630,meet(X_631,X_10)))) )],[refute_0_2469,refute_0_2481]) ).

cnf(refute_0_2483,plain,
    meet(X_10,meet(X_633,meet(X_630,meet(X_631,X_10)))) = meet(X_631,meet(X_10,meet(X_633,X_630))),
    inference(subst,[],[refute_0_672:[bind(X,$fot(X_631)),bind(Y,$fot(X_10)),bind(X_274,$fot(X_633)),bind(X_276,$fot(X_630))]]) ).

cnf(refute_0_2484,plain,
    meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) = meet(X_10,meet(X_633,meet(X_630,meet(X_631,X_10)))),
    inference(subst,[],[refute_0_106:[bind(X,$fot(X_10)),bind(Y,$fot(meet(X_633,meet(X_630,meet(X_631,X_10)))))]]) ).

cnf(refute_0_2485,plain,
    ( meet(X_10,meet(X_633,meet(X_630,meet(X_631,X_10)))) != meet(X_631,meet(X_10,meet(X_633,X_630)))
    | meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) != meet(X_10,meet(X_633,meet(X_630,meet(X_631,X_10))))
    | meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) = meet(X_631,meet(X_10,meet(X_633,X_630))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10))),bind(Y0,$fot(meet(X_10,meet(X_633,meet(X_630,meet(X_631,X_10)))))),bind(Z0,$fot(meet(X_631,meet(X_10,meet(X_633,X_630)))))]]) ).

cnf(refute_0_2486,plain,
    ( meet(X_10,meet(X_633,meet(X_630,meet(X_631,X_10)))) != meet(X_631,meet(X_10,meet(X_633,X_630)))
    | meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) = meet(X_631,meet(X_10,meet(X_633,X_630))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10),meet(X_10,meet(X_633,meet(X_630,meet(X_631,X_10))))) )],[refute_0_2484,refute_0_2485]) ).

cnf(refute_0_2487,plain,
    meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) = meet(X_631,meet(X_10,meet(X_633,X_630))),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(X_633,meet(X_630,meet(X_631,X_10)))),meet(X_631,meet(X_10,meet(X_633,X_630)))) )],[refute_0_2483,refute_0_2486]) ).

cnf(refute_0_2488,plain,
    ( meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) != meet(X_631,meet(X_10,meet(X_633,X_630)))
    | meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) != meet(X_633,meet(X_630,meet(X_631,X_10)))
    | meet(X_631,meet(X_10,meet(X_633,X_630))) = meet(X_633,meet(X_630,meet(X_631,X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10),meet(X_633,meet(X_630,meet(X_631,X_10)))) ),[0],$fot(meet(X_631,meet(X_10,meet(X_633,X_630))))]]) ).

cnf(refute_0_2489,plain,
    ( meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10) != meet(X_633,meet(X_630,meet(X_631,X_10)))
    | meet(X_631,meet(X_10,meet(X_633,X_630))) = meet(X_633,meet(X_630,meet(X_631,X_10))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10),meet(X_631,meet(X_10,meet(X_633,X_630)))) )],[refute_0_2487,refute_0_2488]) ).

cnf(refute_0_2490,plain,
    meet(X_631,meet(X_10,meet(X_633,X_630))) = meet(X_633,meet(X_630,meet(X_631,X_10))),
    inference(resolve,[$cnf( $equal(meet(meet(X_633,meet(X_630,meet(X_631,X_10))),X_10),meet(X_633,meet(X_630,meet(X_631,X_10)))) )],[refute_0_2482,refute_0_2489]) ).

cnf(refute_0_2491,plain,
    ( meet(X_631,meet(X_10,meet(X_633,X_630))) != meet(X_633,meet(X_630,meet(X_631,X_10)))
    | meet(X_633,meet(X_630,meet(X_631,X_10))) = meet(X_631,meet(X_10,meet(X_633,X_630))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_631,meet(X_10,meet(X_633,X_630))))),bind(Y0,$fot(meet(X_633,meet(X_630,meet(X_631,X_10)))))]]) ).

cnf(refute_0_2492,plain,
    meet(X_633,meet(X_630,meet(X_631,X_10))) = meet(X_631,meet(X_10,meet(X_633,X_630))),
    inference(resolve,[$cnf( $equal(meet(X_631,meet(X_10,meet(X_633,X_630))),meet(X_633,meet(X_630,meet(X_631,X_10)))) )],[refute_0_2490,refute_0_2491]) ).

cnf(refute_0_2493,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) = meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),
    inference(subst,[],[refute_0_2492:[bind(X_10,$fot(meet(X_44,b))),bind(X_630,$fot(X_43)),bind(X_631,$fot(X_712)),bind(X_633,$fot(meet(b,meet(X_712,join(a,meet(b,X_44))))))]]) ).

cnf(refute_0_2494,plain,
    ( meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) != meet(X_712,meet(X_44,meet(b,X_43)))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) != meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) = meet(X_712,meet(X_44,meet(b,X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))))),bind(Y0,$fot(meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))))),bind(Z0,$fot(meet(X_712,meet(X_44,meet(b,X_43)))))]]) ).

cnf(refute_0_2495,plain,
    ( meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))) != meet(X_712,meet(X_44,meet(b,X_43)))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) = meet(X_712,meet(X_44,meet(b,X_43))) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))),meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43)))) )],[refute_0_2493,refute_0_2494]) ).

cnf(refute_0_2496,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) = meet(X_712,meet(X_44,meet(b,X_43))),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(meet(X_44,b),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),X_43))),meet(X_712,meet(X_44,meet(b,X_43)))) )],[refute_0_2468,refute_0_2495]) ).

cnf(refute_0_2497,plain,
    ( meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) != meet(X_712,meet(X_44,meet(b,X_43)))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) != meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))
    | meet(X_712,meet(X_44,meet(b,X_43))) = meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))) ),[0],$fot(meet(X_712,meet(X_44,meet(b,X_43))))]]) ).

cnf(refute_0_2498,plain,
    ( meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) != meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))
    | meet(X_712,meet(X_44,meet(b,X_43))) = meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))),meet(X_712,meet(X_44,meet(b,X_43)))) )],[refute_0_2496,refute_0_2497]) ).

cnf(refute_0_2499,plain,
    meet(b,meet(X_712,join(a,meet(b,X_44)))) = meet(X_712,join(a,meet(b,X_44))),
    inference(subst,[],[refute_0_2376:[bind(X_518,$fot(X_44))]]) ).

cnf(refute_0_2500,plain,
    meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))) = meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))),
    introduced(tautology,[refl,[$fot(meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))))]]) ).

cnf(refute_0_2501,plain,
    ( meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))) != meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))
    | meet(b,meet(X_712,join(a,meet(b,X_44)))) != meet(X_712,join(a,meet(b,X_44)))
    | meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))) = meet(X_43,meet(X_712,join(a,meet(b,X_44)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))),meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))) ),[1,1],$fot(meet(X_712,join(a,meet(b,X_44))))]]) ).

cnf(refute_0_2502,plain,
    ( meet(b,meet(X_712,join(a,meet(b,X_44)))) != meet(X_712,join(a,meet(b,X_44)))
    | meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))) = meet(X_43,meet(X_712,join(a,meet(b,X_44)))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))),meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))) )],[refute_0_2500,refute_0_2501]) ).

cnf(refute_0_2503,plain,
    meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))) = meet(X_43,meet(X_712,join(a,meet(b,X_44)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_712,join(a,meet(b,X_44)))) )],[refute_0_2499,refute_0_2502]) ).

cnf(refute_0_2504,plain,
    meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))) = meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))),
    introduced(tautology,[refl,[$fot(meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))))]]) ).

cnf(refute_0_2505,plain,
    ( meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))) != meet(X_43,meet(X_712,join(a,meet(b,X_44))))
    | meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))) != meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))))
    | meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))) = meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))),meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))))) ),[1,1],$fot(meet(X_43,meet(X_712,join(a,meet(b,X_44)))))]]) ).

cnf(refute_0_2506,plain,
    ( meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))) != meet(X_43,meet(X_712,join(a,meet(b,X_44))))
    | meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))) = meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))) ),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))),meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))))) )],[refute_0_2504,refute_0_2505]) ).

cnf(refute_0_2507,plain,
    meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))) = meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))),meet(X_43,meet(X_712,join(a,meet(b,X_44))))) )],[refute_0_2503,refute_0_2506]) ).

cnf(refute_0_2508,plain,
    ( meet(X_288,meet(X_289,Y)) != meet(Y,meet(X_289,X_288))
    | meet(Y,meet(X_289,X_288)) = meet(X_288,meet(X_289,Y)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_288,meet(X_289,Y)))),bind(Y0,$fot(meet(Y,meet(X_289,X_288))))]]) ).

cnf(refute_0_2509,plain,
    meet(Y,meet(X_289,X_288)) = meet(X_288,meet(X_289,Y)),
    inference(resolve,[$cnf( $equal(meet(X_288,meet(X_289,Y)),meet(Y,meet(X_289,X_288))) )],[refute_0_603,refute_0_2508]) ).

cnf(refute_0_2510,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)) = meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))),
    inference(subst,[],[refute_0_2509:[bind(Y,$fot(meet(b,meet(X_712,join(a,meet(b,X_44)))))),bind(X_288,$fot(X_44)),bind(X_289,$fot(X_43))]]) ).

cnf(refute_0_2511,plain,
    ( meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))) != meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44)))))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)) != meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)) = meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)))),bind(Y0,$fot(meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))))),bind(Z0,$fot(meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44)))))))]]) ).

cnf(refute_0_2512,plain,
    ( meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))) != meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44)))))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)) = meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)),meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44))))))) )],[refute_0_2510,refute_0_2511]) ).

cnf(refute_0_2513,plain,
    meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)) = meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_43,meet(b,meet(X_712,join(a,meet(b,X_44)))))),meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44)))))) )],[refute_0_2507,refute_0_2512]) ).

cnf(refute_0_2514,plain,
    ( meet(X_712,meet(X_44,meet(b,X_43))) != meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))
    | meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)) != meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44)))))
    | meet(X_712,meet(X_44,meet(b,X_43))) = meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_712,meet(X_44,meet(b,X_43))),meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44)))))) ),[0],$fot(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)))]]) ).

cnf(refute_0_2515,plain,
    ( meet(X_712,meet(X_44,meet(b,X_43))) != meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))
    | meet(X_712,meet(X_44,meet(b,X_43))) = meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44)),meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44)))))) )],[refute_0_2513,refute_0_2514]) ).

cnf(refute_0_2516,plain,
    ( meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))) != meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))
    | meet(X_712,meet(X_44,meet(b,X_43))) = meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))) ),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(X_44,meet(b,X_43))),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))) )],[refute_0_2498,refute_0_2515]) ).

cnf(refute_0_2517,plain,
    meet(X_712,meet(X_44,meet(b,X_43))) = meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))),
    inference(resolve,[$cnf( $equal(meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,meet(X_712,meet(X_44,b)))),meet(meet(b,meet(X_712,join(a,meet(b,X_44)))),meet(X_43,X_44))) )],[refute_0_2410,refute_0_2516]) ).

cnf(refute_0_2518,plain,
    ( meet(X_712,meet(X_44,meet(b,X_43))) != meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44)))))
    | meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))) = meet(X_712,meet(X_44,meet(b,X_43))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_712,meet(X_44,meet(b,X_43))))),bind(Y0,$fot(meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44)))))))]]) ).

cnf(refute_0_2519,plain,
    meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44))))) = meet(X_712,meet(X_44,meet(b,X_43))),
    inference(resolve,[$cnf( $equal(meet(X_712,meet(X_44,meet(b,X_43))),meet(X_44,meet(X_43,meet(X_712,join(a,meet(b,X_44)))))) )],[refute_0_2517,refute_0_2518]) ).

cnf(refute_0_2520,plain,
    meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) = meet(complement(join(X_400,a)),meet(X_713,meet(b,b))),
    inference(subst,[],[refute_0_2519:[bind(X_43,$fot(b)),bind(X_44,$fot(X_713)),bind(X_712,$fot(complement(join(X_400,a))))]]) ).

cnf(refute_0_2521,plain,
    ( meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) != meet(complement(join(X_400,a)),meet(X_713,meet(b,b)))
    | meet(complement(join(X_400,a)),meet(X_713,meet(b,b))) != meet(b,meet(X_713,complement(join(X_400,a))))
    | meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) = meet(b,meet(X_713,complement(join(X_400,a)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))))),bind(Y0,$fot(meet(complement(join(X_400,a)),meet(X_713,meet(b,b))))),bind(Z0,$fot(meet(b,meet(X_713,complement(join(X_400,a))))))]]) ).

cnf(refute_0_2522,plain,
    ( meet(complement(join(X_400,a)),meet(X_713,meet(b,b))) != meet(b,meet(X_713,complement(join(X_400,a))))
    | meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) = meet(b,meet(X_713,complement(join(X_400,a)))) ),
    inference(resolve,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))),meet(complement(join(X_400,a)),meet(X_713,meet(b,b)))) )],[refute_0_2520,refute_0_2521]) ).

cnf(refute_0_2523,plain,
    meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) = meet(b,meet(X_713,complement(join(X_400,a)))),
    inference(resolve,[$cnf( $equal(meet(complement(join(X_400,a)),meet(X_713,meet(b,b))),meet(b,meet(X_713,complement(join(X_400,a))))) )],[refute_0_2405,refute_0_2522]) ).

cnf(refute_0_2524,plain,
    ( meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) != meet(b,meet(X_713,complement(join(X_400,a))))
    | meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) != meet(complement(join(a,X_400)),meet(X_713,b))
    | meet(b,meet(X_713,complement(join(X_400,a)))) = meet(complement(join(a,X_400)),meet(X_713,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))),meet(complement(join(a,X_400)),meet(X_713,b))) ),[0],$fot(meet(b,meet(X_713,complement(join(X_400,a)))))]]) ).

cnf(refute_0_2525,plain,
    ( meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) != meet(complement(join(a,X_400)),meet(X_713,b))
    | meet(b,meet(X_713,complement(join(X_400,a)))) = meet(complement(join(a,X_400)),meet(X_713,b)) ),
    inference(resolve,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))),meet(b,meet(X_713,complement(join(X_400,a))))) )],[refute_0_2523,refute_0_2524]) ).

cnf(refute_0_2526,plain,
    meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44)),
    inference(subst,[],[refute_0_526:[bind(X_10,$fot(join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))]]) ).

cnf(refute_0_2527,plain,
    meet(X_611,b) = meet(X_611,join(meet(X_611,b),meet(a,meet(complement(meet(X_611,b)),join(X_611,b))))),
    inference(subst,[],[refute_0_2218:[bind(X_157,$fot(X_611)),bind(X_159,$fot(b))]]) ).

cnf(refute_0_2528,plain,
    meet(join(b,X_501),Y) = meet(Y,join(b,X_501)),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(join(b,X_501)))]]) ).

cnf(refute_0_2529,plain,
    meet(join(b,X_58),meet(X_74,join(X_58,b))) = meet(X_74,meet(join(X_58,b),join(b,X_58))),
    inference(subst,[],[refute_0_59:[bind(X,$fot(join(b,X_58))),bind(X_43,$fot(X_74)),bind(X_44,$fot(join(X_58,b)))]]) ).

cnf(refute_0_2530,plain,
    meet(join(X_58,b),join(a,join(X_58,b))) = join(X_58,b),
    inference(subst,[],[refute_0_40:[bind(X_10,$fot(a)),bind(X_9,$fot(join(X_58,b)))]]) ).

cnf(refute_0_2531,plain,
    join(b,X_58) = join(a,join(X_58,b)),
    inference(subst,[],[refute_0_129:[bind(X_57,$fot(X_58))]]) ).

cnf(refute_0_2532,plain,
    ( join(b,X_58) != join(a,join(X_58,b))
    | join(a,join(X_58,b)) = join(b,X_58) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(b,X_58))),bind(Y0,$fot(join(a,join(X_58,b))))]]) ).

cnf(refute_0_2533,plain,
    join(a,join(X_58,b)) = join(b,X_58),
    inference(resolve,[$cnf( $equal(join(b,X_58),join(a,join(X_58,b))) )],[refute_0_2531,refute_0_2532]) ).

cnf(refute_0_2534,plain,
    ( join(a,join(X_58,b)) != join(b,X_58)
    | meet(join(X_58,b),join(a,join(X_58,b))) != join(X_58,b)
    | meet(join(X_58,b),join(b,X_58)) = join(X_58,b) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_58,b),join(a,join(X_58,b))),join(X_58,b)) ),[0,1],$fot(join(b,X_58))]]) ).

cnf(refute_0_2535,plain,
    ( meet(join(X_58,b),join(a,join(X_58,b))) != join(X_58,b)
    | meet(join(X_58,b),join(b,X_58)) = join(X_58,b) ),
    inference(resolve,[$cnf( $equal(join(a,join(X_58,b)),join(b,X_58)) )],[refute_0_2533,refute_0_2534]) ).

cnf(refute_0_2536,plain,
    meet(join(X_58,b),join(b,X_58)) = join(X_58,b),
    inference(resolve,[$cnf( $equal(meet(join(X_58,b),join(a,join(X_58,b))),join(X_58,b)) )],[refute_0_2530,refute_0_2535]) ).

cnf(refute_0_2537,plain,
    ( meet(join(X_58,b),join(b,X_58)) != join(X_58,b)
    | meet(join(b,X_58),meet(X_74,join(X_58,b))) != meet(X_74,meet(join(X_58,b),join(b,X_58)))
    | meet(join(b,X_58),meet(X_74,join(X_58,b))) = meet(X_74,join(X_58,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(b,X_58),meet(X_74,join(X_58,b))),meet(X_74,meet(join(X_58,b),join(b,X_58)))) ),[1,1],$fot(join(X_58,b))]]) ).

cnf(refute_0_2538,plain,
    ( meet(join(b,X_58),meet(X_74,join(X_58,b))) != meet(X_74,meet(join(X_58,b),join(b,X_58)))
    | meet(join(b,X_58),meet(X_74,join(X_58,b))) = meet(X_74,join(X_58,b)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_58,b),join(b,X_58)),join(X_58,b)) )],[refute_0_2536,refute_0_2537]) ).

cnf(refute_0_2539,plain,
    meet(join(b,X_58),meet(X_74,join(X_58,b))) = meet(X_74,join(X_58,b)),
    inference(resolve,[$cnf( $equal(meet(join(b,X_58),meet(X_74,join(X_58,b))),meet(X_74,meet(join(X_58,b),join(b,X_58)))) )],[refute_0_2529,refute_0_2538]) ).

cnf(refute_0_2540,plain,
    meet(join(b,X_58),meet(X_74,join(X_58,b))) = meet(X_74,join(b,X_58)),
    inference(subst,[],[refute_0_738:[bind(X_185,$fot(X_58)),bind(X_186,$fot(b)),bind(X_43,$fot(X_74))]]) ).

cnf(refute_0_2541,plain,
    ( meet(join(b,X_58),meet(X_74,join(X_58,b))) != meet(X_74,join(X_58,b))
    | meet(join(b,X_58),meet(X_74,join(X_58,b))) != meet(X_74,join(b,X_58))
    | meet(X_74,join(b,X_58)) = meet(X_74,join(X_58,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(b,X_58),meet(X_74,join(X_58,b))),meet(X_74,join(X_58,b))) ),[0],$fot(meet(X_74,join(b,X_58)))]]) ).

cnf(refute_0_2542,plain,
    ( meet(join(b,X_58),meet(X_74,join(X_58,b))) != meet(X_74,join(X_58,b))
    | meet(X_74,join(b,X_58)) = meet(X_74,join(X_58,b)) ),
    inference(resolve,[$cnf( $equal(meet(join(b,X_58),meet(X_74,join(X_58,b))),meet(X_74,join(b,X_58))) )],[refute_0_2540,refute_0_2541]) ).

cnf(refute_0_2543,plain,
    meet(X_74,join(b,X_58)) = meet(X_74,join(X_58,b)),
    inference(resolve,[$cnf( $equal(meet(join(b,X_58),meet(X_74,join(X_58,b))),meet(X_74,join(X_58,b))) )],[refute_0_2539,refute_0_2542]) ).

cnf(refute_0_2544,plain,
    meet(Y,join(b,X_501)) = meet(Y,join(X_501,b)),
    inference(subst,[],[refute_0_2543:[bind(X_58,$fot(X_501)),bind(X_74,$fot(Y))]]) ).

cnf(refute_0_2545,plain,
    ( meet(Y,join(b,X_501)) != meet(Y,join(X_501,b))
    | meet(join(b,X_501),Y) != meet(Y,join(b,X_501))
    | meet(join(b,X_501),Y) = meet(Y,join(X_501,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(b,X_501),Y),meet(Y,join(b,X_501))) ),[1],$fot(meet(Y,join(X_501,b)))]]) ).

cnf(refute_0_2546,plain,
    ( meet(join(b,X_501),Y) != meet(Y,join(b,X_501))
    | meet(join(b,X_501),Y) = meet(Y,join(X_501,b)) ),
    inference(resolve,[$cnf( $equal(meet(Y,join(b,X_501)),meet(Y,join(X_501,b))) )],[refute_0_2544,refute_0_2545]) ).

cnf(refute_0_2547,plain,
    meet(join(b,X_501),Y) = meet(Y,join(X_501,b)),
    inference(resolve,[$cnf( $equal(meet(join(b,X_501),Y),meet(Y,join(b,X_501))) )],[refute_0_2528,refute_0_2546]) ).

cnf(refute_0_2548,plain,
    meet(join(b,X_611),complement(meet(X_611,b))) = meet(complement(meet(X_611,b)),join(X_611,b)),
    inference(subst,[],[refute_0_2547:[bind(Y,$fot(complement(meet(X_611,b)))),bind(X_501,$fot(X_611))]]) ).

cnf(refute_0_2549,plain,
    ( meet(join(b,X_611),complement(meet(X_611,b))) != meet(complement(meet(X_611,b)),join(X_611,b))
    | meet(complement(meet(X_611,b)),join(X_611,b)) = meet(join(b,X_611),complement(meet(X_611,b))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(join(b,X_611),complement(meet(X_611,b))))),bind(Y0,$fot(meet(complement(meet(X_611,b)),join(X_611,b))))]]) ).

cnf(refute_0_2550,plain,
    meet(complement(meet(X_611,b)),join(X_611,b)) = meet(join(b,X_611),complement(meet(X_611,b))),
    inference(resolve,[$cnf( $equal(meet(join(b,X_611),complement(meet(X_611,b))),meet(complement(meet(X_611,b)),join(X_611,b))) )],[refute_0_2548,refute_0_2549]) ).

cnf(refute_0_2551,plain,
    ( meet(X_611,b) != meet(X_611,join(meet(X_611,b),meet(a,meet(complement(meet(X_611,b)),join(X_611,b)))))
    | meet(complement(meet(X_611,b)),join(X_611,b)) != meet(join(b,X_611),complement(meet(X_611,b)))
    | meet(X_611,b) = meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_611,b),meet(X_611,join(meet(X_611,b),meet(a,meet(complement(meet(X_611,b)),join(X_611,b)))))) ),[1,1,1,1],$fot(meet(join(b,X_611),complement(meet(X_611,b))))]]) ).

cnf(refute_0_2552,plain,
    ( meet(X_611,b) != meet(X_611,join(meet(X_611,b),meet(a,meet(complement(meet(X_611,b)),join(X_611,b)))))
    | meet(X_611,b) = meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(meet(X_611,b)),join(X_611,b)),meet(join(b,X_611),complement(meet(X_611,b)))) )],[refute_0_2550,refute_0_2551]) ).

cnf(refute_0_2553,plain,
    meet(X_611,b) = meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))),
    inference(resolve,[$cnf( $equal(meet(X_611,b),meet(X_611,join(meet(X_611,b),meet(a,meet(complement(meet(X_611,b)),join(X_611,b)))))) )],[refute_0_2527,refute_0_2552]) ).

cnf(refute_0_2554,plain,
    meet(meet(a,join(b,X_51)),Z) = meet(a,meet(join(b,X_51),Z)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(join(b,X_51)))]]) ).

cnf(refute_0_2555,plain,
    meet(a,join(b,Y)) = meet(a,meet(b,join(b,Y))),
    inference(subst,[],[refute_0_394:[bind(X_45,$fot(join(b,Y)))]]) ).

cnf(refute_0_2556,plain,
    meet(b,join(b,Y)) = b,
    inference(subst,[],[absorption1:[bind(X,$fot(b))]]) ).

cnf(refute_0_2557,plain,
    ( meet(a,join(b,Y)) != meet(a,meet(b,join(b,Y)))
    | meet(b,join(b,Y)) != b
    | meet(a,join(b,Y)) = meet(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,join(b,Y)),meet(a,meet(b,join(b,Y)))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_2558,plain,
    ( meet(a,join(b,Y)) != meet(a,meet(b,join(b,Y)))
    | meet(a,join(b,Y)) = meet(a,b) ),
    inference(resolve,[$cnf( $equal(meet(b,join(b,Y)),b) )],[refute_0_2556,refute_0_2557]) ).

cnf(refute_0_2559,plain,
    meet(a,join(b,Y)) = meet(a,b),
    inference(resolve,[$cnf( $equal(meet(a,join(b,Y)),meet(a,meet(b,join(b,Y)))) )],[refute_0_2555,refute_0_2558]) ).

cnf(refute_0_2560,plain,
    ( meet(a,b) != a
    | meet(a,join(b,Y)) != meet(a,b)
    | meet(a,join(b,Y)) = a ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,join(b,Y)),meet(a,b)) ),[1],$fot(a)]]) ).

cnf(refute_0_2561,plain,
    ( meet(a,join(b,Y)) != meet(a,b)
    | meet(a,join(b,Y)) = a ),
    inference(resolve,[$cnf( $equal(meet(a,b),a) )],[refute_0_110,refute_0_2560]) ).

cnf(refute_0_2562,plain,
    meet(a,join(b,Y)) = a,
    inference(resolve,[$cnf( $equal(meet(a,join(b,Y)),meet(a,b)) )],[refute_0_2559,refute_0_2561]) ).

cnf(refute_0_2563,plain,
    meet(a,join(b,X_51)) = a,
    inference(subst,[],[refute_0_2562:[bind(Y,$fot(X_51))]]) ).

cnf(refute_0_2564,plain,
    ( meet(a,join(b,X_51)) != a
    | meet(meet(a,join(b,X_51)),Z) != meet(a,meet(join(b,X_51),Z))
    | meet(a,Z) = meet(a,meet(join(b,X_51),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(a,join(b,X_51)),Z),meet(a,meet(join(b,X_51),Z))) ),[0,0],$fot(a)]]) ).

cnf(refute_0_2565,plain,
    ( meet(meet(a,join(b,X_51)),Z) != meet(a,meet(join(b,X_51),Z))
    | meet(a,Z) = meet(a,meet(join(b,X_51),Z)) ),
    inference(resolve,[$cnf( $equal(meet(a,join(b,X_51)),a) )],[refute_0_2563,refute_0_2564]) ).

cnf(refute_0_2566,plain,
    meet(a,Z) = meet(a,meet(join(b,X_51),Z)),
    inference(resolve,[$cnf( $equal(meet(meet(a,join(b,X_51)),Z),meet(a,meet(join(b,X_51),Z))) )],[refute_0_2554,refute_0_2565]) ).

cnf(refute_0_2567,plain,
    ( meet(a,Z) != meet(a,meet(join(b,X_51),Z))
    | meet(a,meet(join(b,X_51),Z)) = meet(a,Z) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(a,Z))),bind(Y0,$fot(meet(a,meet(join(b,X_51),Z))))]]) ).

cnf(refute_0_2568,plain,
    meet(a,meet(join(b,X_51),Z)) = meet(a,Z),
    inference(resolve,[$cnf( $equal(meet(a,Z),meet(a,meet(join(b,X_51),Z))) )],[refute_0_2566,refute_0_2567]) ).

cnf(refute_0_2569,plain,
    meet(a,meet(join(b,X_611),complement(meet(X_611,b)))) = meet(a,complement(meet(X_611,b))),
    inference(subst,[],[refute_0_2568:[bind(Z,$fot(complement(meet(X_611,b)))),bind(X_51,$fot(X_611))]]) ).

cnf(refute_0_2570,plain,
    join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))) = join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))),
    introduced(tautology,[refl,[$fot(join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))))]]) ).

cnf(refute_0_2571,plain,
    ( join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))) != join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))
    | meet(a,meet(join(b,X_611),complement(meet(X_611,b)))) != meet(a,complement(meet(X_611,b)))
    | join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))) = join(meet(X_611,b),meet(a,complement(meet(X_611,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))),join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))) ),[1,1],$fot(meet(a,complement(meet(X_611,b))))]]) ).

cnf(refute_0_2572,plain,
    ( meet(a,meet(join(b,X_611),complement(meet(X_611,b)))) != meet(a,complement(meet(X_611,b)))
    | join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))) = join(meet(X_611,b),meet(a,complement(meet(X_611,b)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))),join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))) )],[refute_0_2570,refute_0_2571]) ).

cnf(refute_0_2573,plain,
    join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))) = join(meet(X_611,b),meet(a,complement(meet(X_611,b)))),
    inference(resolve,[$cnf( $equal(meet(a,meet(join(b,X_611),complement(meet(X_611,b)))),meet(a,complement(meet(X_611,b)))) )],[refute_0_2569,refute_0_2572]) ).

cnf(refute_0_2574,plain,
    meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))) = meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))),
    introduced(tautology,[refl,[$fot(meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))))]]) ).

cnf(refute_0_2575,plain,
    ( join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))) != join(meet(X_611,b),meet(a,complement(meet(X_611,b))))
    | meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))) != meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))))
    | meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))) = meet(X_611,join(meet(X_611,b),meet(a,complement(meet(X_611,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))),meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))))) ),[1,1],$fot(join(meet(X_611,b),meet(a,complement(meet(X_611,b)))))]]) ).

cnf(refute_0_2576,plain,
    ( join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))) != join(meet(X_611,b),meet(a,complement(meet(X_611,b))))
    | meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))) = meet(X_611,join(meet(X_611,b),meet(a,complement(meet(X_611,b))))) ),
    inference(resolve,[$cnf( $equal(meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))),meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))))) )],[refute_0_2574,refute_0_2575]) ).

cnf(refute_0_2577,plain,
    meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))) = meet(X_611,join(meet(X_611,b),meet(a,complement(meet(X_611,b))))),
    inference(resolve,[$cnf( $equal(join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))),join(meet(X_611,b),meet(a,complement(meet(X_611,b))))) )],[refute_0_2573,refute_0_2576]) ).

cnf(refute_0_2578,plain,
    ( meet(X_611,b) != meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))))
    | meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))) != meet(X_611,join(meet(X_611,b),meet(a,complement(meet(X_611,b)))))
    | meet(X_611,b) = meet(X_611,join(meet(X_611,b),meet(a,complement(meet(X_611,b))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_611,b),meet(X_611,join(meet(X_611,b),meet(a,complement(meet(X_611,b)))))) ),[0],$fot(meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))))]]) ).

cnf(refute_0_2579,plain,
    ( meet(X_611,b) != meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))))
    | meet(X_611,b) = meet(X_611,join(meet(X_611,b),meet(a,complement(meet(X_611,b))))) ),
    inference(resolve,[$cnf( $equal(meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b)))))),meet(X_611,join(meet(X_611,b),meet(a,complement(meet(X_611,b)))))) )],[refute_0_2577,refute_0_2578]) ).

cnf(refute_0_2580,plain,
    meet(X_611,b) = meet(X_611,join(meet(X_611,b),meet(a,complement(meet(X_611,b))))),
    inference(resolve,[$cnf( $equal(meet(X_611,b),meet(X_611,join(meet(X_611,b),meet(a,meet(join(b,X_611),complement(meet(X_611,b))))))) )],[refute_0_2553,refute_0_2579]) ).

cnf(refute_0_2581,plain,
    meet(X_44,b) = meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))),
    inference(subst,[],[refute_0_2580:[bind(X_611,$fot(X_44))]]) ).

cnf(refute_0_2582,plain,
    ( meet(X_44,b) != meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))
    | meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))) = meet(X_44,b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_44,b))),bind(Y0,$fot(meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))))]]) ).

cnf(refute_0_2583,plain,
    meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))) = meet(X_44,b),
    inference(resolve,[$cnf( $equal(meet(X_44,b),meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))) )],[refute_0_2581,refute_0_2582]) ).

cnf(refute_0_2584,plain,
    ( meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))) != meet(X_44,b)
    | meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) != meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))
    | meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) = meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))) ),[0,1,1],$fot(meet(X_44,b))]]) ).

cnf(refute_0_2585,plain,
    ( meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) != meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))
    | meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) = meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))),meet(X_44,b)) )],[refute_0_2583,refute_0_2584]) ).

cnf(refute_0_2586,plain,
    meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) = meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44)),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))) )],[refute_0_2526,refute_0_2585]) ).

cnf(refute_0_2587,plain,
    meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,meet(X_44,join(a,meet(X_583,b)))))),
    inference(subst,[],[refute_0_1686:[bind(X,$fot(meet(X_43,meet(X_44,join(a,meet(X_583,b)))))),bind(X_43,$fot(X_583))]]) ).

cnf(refute_0_2588,plain,
    meet(join(a,meet(X_583,b)),meet(X_43,meet(X_44,join(a,meet(X_583,b))))) = meet(join(a,meet(X_583,b)),meet(X_43,X_44)),
    inference(subst,[],[refute_0_526:[bind(X_10,$fot(join(a,meet(X_583,b))))]]) ).

cnf(refute_0_2589,plain,
    ( meet(join(a,meet(X_583,b)),meet(X_43,meet(X_44,join(a,meet(X_583,b))))) != meet(join(a,meet(X_583,b)),meet(X_43,X_44))
    | meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,meet(X_44,join(a,meet(X_583,b))))))
    | meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)),meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,meet(X_44,join(a,meet(X_583,b))))))) ),[1,1],$fot(meet(join(a,meet(X_583,b)),meet(X_43,X_44)))]]) ).

cnf(refute_0_2590,plain,
    ( meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,meet(X_44,join(a,meet(X_583,b))))))
    | meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(X_583,b)),meet(X_43,meet(X_44,join(a,meet(X_583,b))))),meet(join(a,meet(X_583,b)),meet(X_43,X_44))) )],[refute_0_2588,refute_0_2589]) ).

cnf(refute_0_2591,plain,
    meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)),meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,meet(X_44,join(a,meet(X_583,b))))))) )],[refute_0_2587,refute_0_2590]) ).

cnf(refute_0_2592,plain,
    meet(b,meet(X_44,meet(X_583,meet(b,X_43)))) = meet(b,meet(X_44,meet(X_583,X_43))),
    inference(subst,[],[refute_0_630:[bind(X_15,$fot(X_44)),bind(X_274,$fot(X_583)),bind(X_276,$fot(X_43)),bind(X_43,$fot(b))]]) ).

cnf(refute_0_2593,plain,
    meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,meet(X_579,join(a,meet(X_44,b)))))) = meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44)),
    inference(subst,[],[refute_0_526:[bind(X_10,$fot(meet(X_579,join(a,meet(X_44,b)))))]]) ).

cnf(refute_0_2594,plain,
    meet(X_44,meet(X_579,join(a,meet(X_44,b)))) = meet(X_579,meet(X_44,b)),
    inference(subst,[],[refute_0_2281:[bind(X_43,$fot(X_579))]]) ).

cnf(refute_0_2595,plain,
    ( meet(X_44,meet(X_579,join(a,meet(X_44,b)))) != meet(X_579,meet(X_44,b))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,meet(X_579,join(a,meet(X_44,b)))))) != meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) = meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,meet(X_579,join(a,meet(X_44,b)))))),meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))) ),[0,1,1],$fot(meet(X_579,meet(X_44,b)))]]) ).

cnf(refute_0_2596,plain,
    ( meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,meet(X_579,join(a,meet(X_44,b)))))) != meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) = meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_579,join(a,meet(X_44,b)))),meet(X_579,meet(X_44,b))) )],[refute_0_2594,refute_0_2595]) ).

cnf(refute_0_2597,plain,
    meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) = meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44)),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,meet(X_579,join(a,meet(X_44,b)))))),meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))) )],[refute_0_2593,refute_0_2596]) ).

cnf(refute_0_2598,plain,
    meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284)) = meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284))),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(meet(join(X_282,meet(X,Y)),X_284)))]]) ).

cnf(refute_0_2599,plain,
    meet(meet(X,Y),X_284) = meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284)),
    inference(subst,[],[refute_0_782:[bind(X_10,$fot(X_282)),bind(X_43,$fot(meet(X,Y))),bind(X_45,$fot(X_284))]]) ).

cnf(refute_0_2600,plain,
    ( meet(meet(X,Y),X_284) != meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284))
    | meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284)) = meet(meet(X,Y),X_284) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(meet(X,Y),X_284))),bind(Y0,$fot(meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284))))]]) ).

cnf(refute_0_2601,plain,
    meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284)) = meet(meet(X,Y),X_284),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_284),meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284))) )],[refute_0_2599,refute_0_2600]) ).

cnf(refute_0_2602,plain,
    ( meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284)) != meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))
    | meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284)) != meet(meet(X,Y),X_284)
    | meet(meet(X,Y),X_284) = meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284)),meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))) ),[0],$fot(meet(meet(X,Y),X_284))]]) ).

cnf(refute_0_2603,plain,
    ( meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284)) != meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))
    | meet(meet(X,Y),X_284) = meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284)),meet(meet(X,Y),X_284)) )],[refute_0_2601,refute_0_2602]) ).

cnf(refute_0_2604,plain,
    meet(meet(X,Y),X_284) = meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(join(X_282,meet(X,Y)),X_284)),meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))) )],[refute_0_2598,refute_0_2603]) ).

cnf(refute_0_2605,plain,
    meet(meet(X,Y),X_284) = meet(X,meet(Y,X_284)),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(X_284))]]) ).

cnf(refute_0_2606,plain,
    ( meet(meet(X,Y),X_284) != meet(X,meet(Y,X_284))
    | meet(meet(X,Y),X_284) != meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))
    | meet(X,meet(Y,X_284)) = meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),X_284),meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))) ),[0],$fot(meet(X,meet(Y,X_284)))]]) ).

cnf(refute_0_2607,plain,
    ( meet(meet(X,Y),X_284) != meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))
    | meet(X,meet(Y,X_284)) = meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_284),meet(X,meet(Y,X_284))) )],[refute_0_2605,refute_0_2606]) ).

cnf(refute_0_2608,plain,
    meet(X,meet(Y,X_284)) = meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_284),meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))) )],[refute_0_2604,refute_0_2607]) ).

cnf(refute_0_2609,plain,
    ( meet(X,meet(Y,X_284)) != meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))
    | meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284))) = meet(X,meet(Y,X_284)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,meet(Y,X_284)))),bind(Y0,$fot(meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))))]]) ).

cnf(refute_0_2610,plain,
    meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284))) = meet(X,meet(Y,X_284)),
    inference(resolve,[$cnf( $equal(meet(X,meet(Y,X_284)),meet(X,meet(Y,meet(join(X_282,meet(X,Y)),X_284)))) )],[refute_0_2608,refute_0_2609]) ).

cnf(refute_0_2611,plain,
    meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43))) = meet(X_44,meet(b,X_43)),
    inference(subst,[],[refute_0_2610:[bind(X,$fot(X_44)),bind(Y,$fot(b)),bind(X_282,$fot(a)),bind(X_284,$fot(X_43))]]) ).

cnf(refute_0_2612,plain,
    meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))) = meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))),
    introduced(tautology,[refl,[$fot(meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))))]]) ).

cnf(refute_0_2613,plain,
    ( meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43))) != meet(X_44,meet(b,X_43))
    | meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))) != meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43))))
    | meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))) = meet(X_579,meet(X_44,meet(b,X_43))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))),meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43))))) ),[1,1],$fot(meet(X_44,meet(b,X_43)))]]) ).

cnf(refute_0_2614,plain,
    ( meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43))) != meet(X_44,meet(b,X_43))
    | meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))) = meet(X_579,meet(X_44,meet(b,X_43))) ),
    inference(resolve,[$cnf( $equal(meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))),meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43))))) )],[refute_0_2612,refute_0_2613]) ).

cnf(refute_0_2615,plain,
    meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))) = meet(X_579,meet(X_44,meet(b,X_43))),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43))),meet(X_44,meet(b,X_43))) )],[refute_0_2611,refute_0_2614]) ).

cnf(refute_0_2616,plain,
    meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) = meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))),
    inference(subst,[],[refute_0_630:[bind(X_15,$fot(X_44)),bind(X_274,$fot(b)),bind(X_276,$fot(meet(join(a,meet(X_44,b)),X_43))),bind(X_43,$fot(X_579))]]) ).

cnf(refute_0_2617,plain,
    ( meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) != meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43))))
    | meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))) != meet(X_579,meet(X_44,meet(b,X_43)))
    | meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) = meet(X_579,meet(X_44,meet(b,X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))))),bind(Y0,$fot(meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))))),bind(Z0,$fot(meet(X_579,meet(X_44,meet(b,X_43)))))]]) ).

cnf(refute_0_2618,plain,
    ( meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))) != meet(X_579,meet(X_44,meet(b,X_43)))
    | meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) = meet(X_579,meet(X_44,meet(b,X_43))) ),
    inference(resolve,[$cnf( $equal(meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))),meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43))))) )],[refute_0_2616,refute_0_2617]) ).

cnf(refute_0_2619,plain,
    meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) = meet(X_579,meet(X_44,meet(b,X_43))),
    inference(resolve,[$cnf( $equal(meet(X_579,meet(X_44,meet(b,meet(join(a,meet(X_44,b)),X_43)))),meet(X_579,meet(X_44,meet(b,X_43)))) )],[refute_0_2615,refute_0_2618]) ).

cnf(refute_0_2620,plain,
    meet(meet(X_579,join(a,meet(X_44,b))),X_43) = meet(X_579,meet(join(a,meet(X_44,b)),X_43)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_579)),bind(Y,$fot(join(a,meet(X_44,b)))),bind(Z,$fot(X_43))]]) ).

cnf(refute_0_2621,plain,
    meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)) = meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)),
    introduced(tautology,[refl,[$fot(meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)))]]) ).

cnf(refute_0_2622,plain,
    ( meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)) != meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))
    | meet(meet(X_579,join(a,meet(X_44,b))),X_43) != meet(X_579,meet(join(a,meet(X_44,b)),X_43))
    | meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)) = meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)),meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))) ),[1,1],$fot(meet(X_579,meet(join(a,meet(X_44,b)),X_43)))]]) ).

cnf(refute_0_2623,plain,
    ( meet(meet(X_579,join(a,meet(X_44,b))),X_43) != meet(X_579,meet(join(a,meet(X_44,b)),X_43))
    | meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)) = meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)),meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))) )],[refute_0_2621,refute_0_2622]) ).

cnf(refute_0_2624,plain,
    meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)) = meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_44,b))),X_43),meet(X_579,meet(join(a,meet(X_44,b)),X_43))) )],[refute_0_2620,refute_0_2623]) ).

cnf(refute_0_2625,plain,
    meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))),
    introduced(tautology,[refl,[$fot(meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))))]]) ).

cnf(refute_0_2626,plain,
    ( meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))) != meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)))
    | meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)) != meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))
    | meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))),meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)))) ),[1,1],$fot(meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))]]) ).

cnf(refute_0_2627,plain,
    ( meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)) != meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))
    | meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))) ),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))),meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)))) )],[refute_0_2625,refute_0_2626]) ).

cnf(refute_0_2628,plain,
    meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)),meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))) )],[refute_0_2624,refute_0_2627]) ).

cnf(refute_0_2629,plain,
    meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)) = meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_44)),bind(Y,$fot(b)),bind(Z,$fot(meet(meet(X_579,join(a,meet(X_44,b))),X_43)))]]) ).

cnf(refute_0_2630,plain,
    ( meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))) != meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))
    | meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)) != meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)))
    | meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)) = meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)))),bind(Y0,$fot(meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))))),bind(Z0,$fot(meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))))]]) ).

cnf(refute_0_2631,plain,
    ( meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))) != meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))
    | meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)) = meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)),meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43)))) )],[refute_0_2629,refute_0_2630]) ).

cnf(refute_0_2632,plain,
    meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)) = meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(b,meet(meet(X_579,join(a,meet(X_44,b))),X_43))),meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) )],[refute_0_2628,refute_0_2631]) ).

cnf(refute_0_2633,plain,
    meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))),
    introduced(tautology,[refl,[$fot(meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))))]]) ).

cnf(refute_0_2634,plain,
    ( meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) != meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)))
    | meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)) != meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))
    | meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))),meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)))) ),[1,1],$fot(meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))))]]) ).

cnf(refute_0_2635,plain,
    ( meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)) != meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))
    | meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) ),
    inference(resolve,[$cnf( $equal(meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))),meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)))) )],[refute_0_2633,refute_0_2634]) ).

cnf(refute_0_2636,plain,
    meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)),meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) )],[refute_0_2632,refute_0_2635]) ).

cnf(refute_0_2637,plain,
    ( meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) != meet(X_579,meet(X_44,meet(b,X_43)))
    | meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) != meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))))
    | meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_579,meet(X_44,meet(b,X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))))),bind(Y0,$fot(meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))))),bind(Z0,$fot(meet(X_579,meet(X_44,meet(b,X_43)))))]]) ).

cnf(refute_0_2638,plain,
    ( meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))) != meet(X_579,meet(X_44,meet(b,X_43)))
    | meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_579,meet(X_44,meet(b,X_43))) ),
    inference(resolve,[$cnf( $equal(meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))),meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43)))))) )],[refute_0_2636,refute_0_2637]) ).

cnf(refute_0_2639,plain,
    meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) = meet(X_579,meet(X_44,meet(b,X_43))),
    inference(resolve,[$cnf( $equal(meet(X_579,meet(X_44,meet(b,meet(X_579,meet(join(a,meet(X_44,b)),X_43))))),meet(X_579,meet(X_44,meet(b,X_43)))) )],[refute_0_2619,refute_0_2638]) ).

cnf(refute_0_2640,plain,
    meet(X_579,meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,b)))) = meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))),
    inference(subst,[],[refute_0_2141:[bind(X,$fot(meet(X_44,b))),bind(X_44,$fot(X_43)),bind(X_531,$fot(X_579)),bind(X_532,$fot(meet(X_579,join(a,meet(X_44,b)))))]]) ).

cnf(refute_0_2641,plain,
    meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) = meet(X_579,meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,b)))),
    inference(subst,[],[refute_0_685:[bind(X,$fot(X_579)),bind(Y,$fot(meet(X_579,join(a,meet(X_44,b))))),bind(X_532,$fot(X_43)),bind(X_533,$fot(meet(X_44,b)))]]) ).

cnf(refute_0_2642,plain,
    ( meet(X_579,meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,b)))) != meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) != meet(X_579,meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,b))))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) = meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))))),bind(Y0,$fot(meet(X_579,meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,b)))))),bind(Z0,$fot(meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)))))]]) ).

cnf(refute_0_2643,plain,
    ( meet(X_579,meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,b)))) != meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) = meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))),meet(X_579,meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,b))))) )],[refute_0_2641,refute_0_2642]) ).

cnf(refute_0_2644,plain,
    meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) = meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))),
    inference(resolve,[$cnf( $equal(meet(X_579,meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_44,b)))),meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)))) )],[refute_0_2640,refute_0_2643]) ).

cnf(refute_0_2645,plain,
    ( meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) != meet(X_579,meet(X_44,meet(b,X_43)))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) != meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) = meet(X_579,meet(X_44,meet(b,X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))))),bind(Y0,$fot(meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))))),bind(Z0,$fot(meet(X_579,meet(X_44,meet(b,X_43)))))]]) ).

cnf(refute_0_2646,plain,
    ( meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))) != meet(X_579,meet(X_44,meet(b,X_43)))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) = meet(X_579,meet(X_44,meet(b,X_43))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))),meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43)))) )],[refute_0_2644,refute_0_2645]) ).

cnf(refute_0_2647,plain,
    meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) = meet(X_579,meet(X_44,meet(b,X_43))),
    inference(resolve,[$cnf( $equal(meet(X_579,meet(meet(X_44,b),meet(meet(X_579,join(a,meet(X_44,b))),X_43))),meet(X_579,meet(X_44,meet(b,X_43)))) )],[refute_0_2639,refute_0_2646]) ).

cnf(refute_0_2648,plain,
    ( meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) != meet(X_579,meet(X_44,meet(b,X_43)))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) != meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))
    | meet(X_579,meet(X_44,meet(b,X_43))) = meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))),meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))) ),[0],$fot(meet(X_579,meet(X_44,meet(b,X_43))))]]) ).

cnf(refute_0_2649,plain,
    ( meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) != meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))
    | meet(X_579,meet(X_44,meet(b,X_43))) = meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))),meet(X_579,meet(X_44,meet(b,X_43)))) )],[refute_0_2647,refute_0_2648]) ).

cnf(refute_0_2650,plain,
    meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44)) = meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b))))),
    inference(subst,[],[refute_0_2509:[bind(Y,$fot(meet(X_579,join(a,meet(X_44,b))))),bind(X_288,$fot(X_44)),bind(X_289,$fot(X_43))]]) ).

cnf(refute_0_2651,plain,
    ( meet(X_579,meet(X_44,meet(b,X_43))) != meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))
    | meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44)) != meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b)))))
    | meet(X_579,meet(X_44,meet(b,X_43))) = meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_579,meet(X_44,meet(b,X_43))),meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b)))))) ),[0],$fot(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44)))]]) ).

cnf(refute_0_2652,plain,
    ( meet(X_579,meet(X_44,meet(b,X_43))) != meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))
    | meet(X_579,meet(X_44,meet(b,X_43))) = meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44)),meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b)))))) )],[refute_0_2650,refute_0_2651]) ).

cnf(refute_0_2653,plain,
    ( meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))) != meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))
    | meet(X_579,meet(X_44,meet(b,X_43))) = meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b))))) ),
    inference(resolve,[$cnf( $equal(meet(X_579,meet(X_44,meet(b,X_43))),meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))) )],[refute_0_2649,refute_0_2652]) ).

cnf(refute_0_2654,plain,
    meet(X_579,meet(X_44,meet(b,X_43))) = meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b))))),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,meet(X_579,meet(X_44,b)))),meet(meet(X_579,join(a,meet(X_44,b))),meet(X_43,X_44))) )],[refute_0_2597,refute_0_2653]) ).

cnf(refute_0_2655,plain,
    ( meet(X_579,meet(X_44,meet(b,X_43))) != meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b)))))
    | meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b))))) = meet(X_579,meet(X_44,meet(b,X_43))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_579,meet(X_44,meet(b,X_43))))),bind(Y0,$fot(meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b)))))))]]) ).

cnf(refute_0_2656,plain,
    meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b))))) = meet(X_579,meet(X_44,meet(b,X_43))),
    inference(resolve,[$cnf( $equal(meet(X_579,meet(X_44,meet(b,X_43))),meet(X_44,meet(X_43,meet(X_579,join(a,meet(X_44,b)))))) )],[refute_0_2654,refute_0_2655]) ).

cnf(refute_0_2657,plain,
    meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b))))) = meet(X_44,meet(X_583,meet(b,X_43))),
    inference(subst,[],[refute_0_2656:[bind(X_44,$fot(X_583)),bind(X_579,$fot(X_44))]]) ).

cnf(refute_0_2658,plain,
    meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) = meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))),
    introduced(tautology,[refl,[$fot(meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))))]]) ).

cnf(refute_0_2659,plain,
    ( meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b))))) != meet(X_44,meet(X_583,meet(b,X_43)))
    | meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) != meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b))))))
    | meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) = meet(b,meet(X_44,meet(X_583,meet(b,X_43)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))),meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b))))))) ),[1,1],$fot(meet(X_44,meet(X_583,meet(b,X_43))))]]) ).

cnf(refute_0_2660,plain,
    ( meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b))))) != meet(X_44,meet(X_583,meet(b,X_43)))
    | meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) = meet(b,meet(X_44,meet(X_583,meet(b,X_43)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))),meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b))))))) )],[refute_0_2658,refute_0_2659]) ).

cnf(refute_0_2661,plain,
    meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) = meet(b,meet(X_44,meet(X_583,meet(b,X_43)))),
    inference(resolve,[$cnf( $equal(meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b))))),meet(X_44,meet(X_583,meet(b,X_43)))) )],[refute_0_2657,refute_0_2660]) ).

cnf(refute_0_2662,plain,
    ( meet(b,meet(X_44,meet(X_583,meet(b,X_43)))) != meet(b,meet(X_44,meet(X_583,X_43)))
    | meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) != meet(b,meet(X_44,meet(X_583,meet(b,X_43))))
    | meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) = meet(b,meet(X_44,meet(X_583,X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))))),bind(Y0,$fot(meet(b,meet(X_44,meet(X_583,meet(b,X_43)))))),bind(Z0,$fot(meet(b,meet(X_44,meet(X_583,X_43)))))]]) ).

cnf(refute_0_2663,plain,
    ( meet(b,meet(X_44,meet(X_583,meet(b,X_43)))) != meet(b,meet(X_44,meet(X_583,X_43)))
    | meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) = meet(b,meet(X_44,meet(X_583,X_43))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))),meet(b,meet(X_44,meet(X_583,meet(b,X_43))))) )],[refute_0_2661,refute_0_2662]) ).

cnf(refute_0_2664,plain,
    meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) = meet(b,meet(X_44,meet(X_583,X_43))),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,meet(X_583,meet(b,X_43)))),meet(b,meet(X_44,meet(X_583,X_43)))) )],[refute_0_2592,refute_0_2663]) ).

cnf(refute_0_2665,plain,
    meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))),
    inference(subst,[],[refute_0_844:[bind(Y,$fot(meet(X_43,meet(X_44,join(a,meet(X_583,b)))))),bind(X_304,$fot(X_583))]]) ).

cnf(refute_0_2666,plain,
    ( meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) != meet(b,meet(X_44,meet(X_583,X_43)))
    | meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b))))))
    | meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(b,meet(X_44,meet(X_583,X_43))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)))),bind(Y0,$fot(meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))))),bind(Z0,$fot(meet(b,meet(X_44,meet(X_583,X_43)))))]]) ).

cnf(refute_0_2667,plain,
    ( meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))) != meet(b,meet(X_44,meet(X_583,X_43)))
    | meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(b,meet(X_44,meet(X_583,X_43))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)),meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b))))))) )],[refute_0_2665,refute_0_2666]) ).

cnf(refute_0_2668,plain,
    meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) = meet(b,meet(X_44,meet(X_583,X_43))),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_583,meet(X_43,meet(X_44,join(a,meet(X_583,b)))))),meet(b,meet(X_44,meet(X_583,X_43)))) )],[refute_0_2664,refute_0_2667]) ).

cnf(refute_0_2669,plain,
    ( meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44)))
    | meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(b,meet(X_44,meet(X_583,X_43)))
    | meet(b,meet(X_44,meet(X_583,X_43))) = meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)),meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44)))) ),[0],$fot(meet(b,meet(X_44,meet(X_583,X_43))))]]) ).

cnf(refute_0_2670,plain,
    ( meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44)))
    | meet(b,meet(X_44,meet(X_583,X_43))) = meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)),meet(b,meet(X_44,meet(X_583,X_43)))) )],[refute_0_2668,refute_0_2669]) ).

cnf(refute_0_2671,plain,
    meet(meet(X_43,X_44),meet(X_583,b)) = meet(b,meet(X_583,meet(X_43,X_44))),
    inference(subst,[],[refute_0_844:[bind(Y,$fot(meet(X_43,X_44))),bind(X_304,$fot(X_583))]]) ).

cnf(refute_0_2672,plain,
    ( meet(X,meet(X_43,b)) != meet(X_43,meet(join(a,meet(X_43,b)),X))
    | meet(X_43,meet(join(a,meet(X_43,b)),X)) = meet(X,meet(X_43,b)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,meet(X_43,b)))),bind(Y0,$fot(meet(X_43,meet(join(a,meet(X_43,b)),X))))]]) ).

cnf(refute_0_2673,plain,
    meet(X_43,meet(join(a,meet(X_43,b)),X)) = meet(X,meet(X_43,b)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_43,b)),meet(X_43,meet(join(a,meet(X_43,b)),X))) )],[refute_0_1686,refute_0_2672]) ).

cnf(refute_0_2674,plain,
    meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))) = meet(meet(X_43,X_44),meet(X_583,b)),
    inference(subst,[],[refute_0_2673:[bind(X,$fot(meet(X_43,X_44))),bind(X_43,$fot(X_583))]]) ).

cnf(refute_0_2675,plain,
    ( meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))) != meet(meet(X_43,X_44),meet(X_583,b))
    | meet(meet(X_43,X_44),meet(X_583,b)) != meet(b,meet(X_583,meet(X_43,X_44)))
    | meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))) = meet(b,meet(X_583,meet(X_43,X_44))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))))),bind(Y0,$fot(meet(meet(X_43,X_44),meet(X_583,b)))),bind(Z0,$fot(meet(b,meet(X_583,meet(X_43,X_44)))))]]) ).

cnf(refute_0_2676,plain,
    ( meet(meet(X_43,X_44),meet(X_583,b)) != meet(b,meet(X_583,meet(X_43,X_44)))
    | meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))) = meet(b,meet(X_583,meet(X_43,X_44))) ),
    inference(resolve,[$cnf( $equal(meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))),meet(meet(X_43,X_44),meet(X_583,b))) )],[refute_0_2674,refute_0_2675]) ).

cnf(refute_0_2677,plain,
    meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))) = meet(b,meet(X_583,meet(X_43,X_44))),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),meet(X_583,b)),meet(b,meet(X_583,meet(X_43,X_44)))) )],[refute_0_2671,refute_0_2676]) ).

cnf(refute_0_2678,plain,
    ( meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))) != meet(b,meet(X_583,meet(X_43,X_44)))
    | meet(b,meet(X_44,meet(X_583,X_43))) != meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44)))
    | meet(b,meet(X_44,meet(X_583,X_43))) = meet(b,meet(X_583,meet(X_43,X_44))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_44,meet(X_583,X_43))),meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44)))) ),[1],$fot(meet(b,meet(X_583,meet(X_43,X_44))))]]) ).

cnf(refute_0_2679,plain,
    ( meet(b,meet(X_44,meet(X_583,X_43))) != meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44)))
    | meet(b,meet(X_44,meet(X_583,X_43))) = meet(b,meet(X_583,meet(X_43,X_44))) ),
    inference(resolve,[$cnf( $equal(meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44))),meet(b,meet(X_583,meet(X_43,X_44)))) )],[refute_0_2677,refute_0_2678]) ).

cnf(refute_0_2680,plain,
    ( meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)) != meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44)))
    | meet(b,meet(X_44,meet(X_583,X_43))) = meet(b,meet(X_583,meet(X_43,X_44))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,meet(X_583,X_43))),meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44)))) )],[refute_0_2670,refute_0_2679]) ).

cnf(refute_0_2681,plain,
    meet(b,meet(X_44,meet(X_583,X_43))) = meet(b,meet(X_583,meet(X_43,X_44))),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,meet(X_44,join(a,meet(X_583,b)))),meet(X_583,b)),meet(X_583,meet(join(a,meet(X_583,b)),meet(X_43,X_44)))) )],[refute_0_2591,refute_0_2680]) ).

cnf(refute_0_2682,plain,
    meet(b,meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_44,X_43))) = meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),
    inference(subst,[],[refute_0_2681:[bind(X_44,$fot(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))),bind(X_583,$fot(X_44))]]) ).

cnf(refute_0_2683,plain,
    meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,join(X_282,meet(X_687,meet(X_282,X_688)))))) = meet(b,meet(X_687,meet(X_282,X_688))),
    inference(subst,[],[refute_0_831:[bind(X_283,$fot(meet(X_687,meet(X_282,X_688))))]]) ).

cnf(refute_0_2684,plain,
    join(X_282,meet(X_687,meet(X_282,X_688))) = X_282,
    inference(subst,[],[refute_0_1759:[bind(X,$fot(X_282)),bind(X_73,$fot(X_687)),bind(X_75,$fot(X_688))]]) ).

cnf(refute_0_2685,plain,
    ( join(X_282,meet(X_687,meet(X_282,X_688))) != X_282
    | meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,join(X_282,meet(X_687,meet(X_282,X_688)))))) != meet(b,meet(X_687,meet(X_282,X_688)))
    | meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) = meet(b,meet(X_687,meet(X_282,X_688))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,join(X_282,meet(X_687,meet(X_282,X_688)))))),meet(b,meet(X_687,meet(X_282,X_688)))) ),[0,1,1,1],$fot(X_282)]]) ).

cnf(refute_0_2686,plain,
    ( meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,join(X_282,meet(X_687,meet(X_282,X_688)))))) != meet(b,meet(X_687,meet(X_282,X_688)))
    | meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) = meet(b,meet(X_687,meet(X_282,X_688))) ),
    inference(resolve,[$cnf( $equal(join(X_282,meet(X_687,meet(X_282,X_688))),X_282) )],[refute_0_2684,refute_0_2685]) ).

cnf(refute_0_2687,plain,
    meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) = meet(b,meet(X_687,meet(X_282,X_688))),
    inference(resolve,[$cnf( $equal(meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,join(X_282,meet(X_687,meet(X_282,X_688)))))),meet(b,meet(X_687,meet(X_282,X_688)))) )],[refute_0_2683,refute_0_2686]) ).

cnf(refute_0_2688,plain,
    meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) = meet(Y,meet(X_289,meet(X_579,join(a,meet(X_289,b))))),
    inference(subst,[],[refute_0_603:[bind(X_288,$fot(meet(X_579,join(a,meet(X_289,b)))))]]) ).

cnf(refute_0_2689,plain,
    meet(X_289,meet(X_579,join(a,meet(X_289,b)))) = meet(X_579,meet(X_289,b)),
    inference(subst,[],[refute_0_2281:[bind(X_43,$fot(X_579)),bind(X_44,$fot(X_289))]]) ).

cnf(refute_0_2690,plain,
    ( meet(X_289,meet(X_579,join(a,meet(X_289,b)))) != meet(X_579,meet(X_289,b))
    | meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) != meet(Y,meet(X_289,meet(X_579,join(a,meet(X_289,b)))))
    | meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) = meet(Y,meet(X_579,meet(X_289,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)),meet(Y,meet(X_289,meet(X_579,join(a,meet(X_289,b)))))) ),[1,1],$fot(meet(X_579,meet(X_289,b)))]]) ).

cnf(refute_0_2691,plain,
    ( meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) != meet(Y,meet(X_289,meet(X_579,join(a,meet(X_289,b)))))
    | meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) = meet(Y,meet(X_579,meet(X_289,b))) ),
    inference(resolve,[$cnf( $equal(meet(X_289,meet(X_579,join(a,meet(X_289,b)))),meet(X_579,meet(X_289,b))) )],[refute_0_2689,refute_0_2690]) ).

cnf(refute_0_2692,plain,
    meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) = meet(Y,meet(X_579,meet(X_289,b))),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)),meet(Y,meet(X_289,meet(X_579,join(a,meet(X_289,b)))))) )],[refute_0_2688,refute_0_2691]) ).

cnf(refute_0_2693,plain,
    meet(meet(X_579,join(a,meet(X_289,b))),Y) = meet(X_579,meet(join(a,meet(X_289,b)),Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_579)),bind(Y,$fot(join(a,meet(X_289,b)))),bind(Z,$fot(Y))]]) ).

cnf(refute_0_2694,plain,
    meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)) = meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)),
    introduced(tautology,[refl,[$fot(meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)))]]) ).

cnf(refute_0_2695,plain,
    ( meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)) != meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y))
    | meet(meet(X_579,join(a,meet(X_289,b))),Y) != meet(X_579,meet(join(a,meet(X_289,b)),Y))
    | meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)) = meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)),meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y))) ),[1,1],$fot(meet(X_579,meet(join(a,meet(X_289,b)),Y)))]]) ).

cnf(refute_0_2696,plain,
    ( meet(meet(X_579,join(a,meet(X_289,b))),Y) != meet(X_579,meet(join(a,meet(X_289,b)),Y))
    | meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)) = meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y))) ),
    inference(resolve,[$cnf( $equal(meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)),meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y))) )],[refute_0_2694,refute_0_2695]) ).

cnf(refute_0_2697,plain,
    meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)) = meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y))),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_289,b))),Y),meet(X_579,meet(join(a,meet(X_289,b)),Y))) )],[refute_0_2693,refute_0_2696]) ).

cnf(refute_0_2698,plain,
    meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) = meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)),
    inference(subst,[],[refute_0_360:[bind(X_15,$fot(Y)),bind(X_74,$fot(meet(X_579,join(a,meet(X_289,b))))),bind(X_75,$fot(X_289))]]) ).

cnf(refute_0_2699,plain,
    ( meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)) != meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y)))
    | meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) != meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y))
    | meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) = meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)))),bind(Y0,$fot(meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)))),bind(Z0,$fot(meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y)))))]]) ).

cnf(refute_0_2700,plain,
    ( meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)) != meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y)))
    | meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) = meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)),meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y))) )],[refute_0_2698,refute_0_2699]) ).

cnf(refute_0_2701,plain,
    meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) = meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y))),
    inference(resolve,[$cnf( $equal(meet(X_289,meet(meet(X_579,join(a,meet(X_289,b))),Y)),meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y)))) )],[refute_0_2697,refute_0_2700]) ).

cnf(refute_0_2702,plain,
    ( meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) != meet(Y,meet(X_579,meet(X_289,b)))
    | meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) != meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y)))
    | meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y))) = meet(Y,meet(X_579,meet(X_289,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)),meet(Y,meet(X_579,meet(X_289,b)))) ),[0],$fot(meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y))))]]) ).

cnf(refute_0_2703,plain,
    ( meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)) != meet(Y,meet(X_579,meet(X_289,b)))
    | meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y))) = meet(Y,meet(X_579,meet(X_289,b))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)),meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y)))) )],[refute_0_2701,refute_0_2702]) ).

cnf(refute_0_2704,plain,
    meet(X_289,meet(X_579,meet(join(a,meet(X_289,b)),Y))) = meet(Y,meet(X_579,meet(X_289,b))),
    inference(resolve,[$cnf( $equal(meet(meet(X_579,join(a,meet(X_289,b))),meet(X_289,Y)),meet(Y,meet(X_579,meet(X_289,b)))) )],[refute_0_2692,refute_0_2703]) ).

cnf(refute_0_2705,plain,
    meet(X_282,meet(X_688,meet(join(a,meet(X_282,b)),X_687))) = meet(X_687,meet(X_688,meet(X_282,b))),
    inference(subst,[],[refute_0_2704:[bind(Y,$fot(X_687)),bind(X_289,$fot(X_282)),bind(X_579,$fot(X_688))]]) ).

cnf(refute_0_2706,plain,
    meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))) = meet(X_282,meet(X_688,meet(join(a,meet(X_282,b)),X_687))),
    inference(subst,[],[refute_0_2492:[bind(X_10,$fot(X_688)),bind(X_630,$fot(X_687)),bind(X_631,$fot(X_282)),bind(X_633,$fot(join(a,meet(X_282,b))))]]) ).

cnf(refute_0_2707,plain,
    ( meet(X_282,meet(X_688,meet(join(a,meet(X_282,b)),X_687))) != meet(X_687,meet(X_688,meet(X_282,b)))
    | meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))) != meet(X_282,meet(X_688,meet(join(a,meet(X_282,b)),X_687)))
    | meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))) = meet(X_687,meet(X_688,meet(X_282,b))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))))),bind(Y0,$fot(meet(X_282,meet(X_688,meet(join(a,meet(X_282,b)),X_687))))),bind(Z0,$fot(meet(X_687,meet(X_688,meet(X_282,b)))))]]) ).

cnf(refute_0_2708,plain,
    ( meet(X_282,meet(X_688,meet(join(a,meet(X_282,b)),X_687))) != meet(X_687,meet(X_688,meet(X_282,b)))
    | meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))) = meet(X_687,meet(X_688,meet(X_282,b))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))),meet(X_282,meet(X_688,meet(join(a,meet(X_282,b)),X_687)))) )],[refute_0_2706,refute_0_2707]) ).

cnf(refute_0_2709,plain,
    meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))) = meet(X_687,meet(X_688,meet(X_282,b))),
    inference(resolve,[$cnf( $equal(meet(X_282,meet(X_688,meet(join(a,meet(X_282,b)),X_687))),meet(X_687,meet(X_688,meet(X_282,b)))) )],[refute_0_2705,refute_0_2708]) ).

cnf(refute_0_2710,plain,
    meet(join(a,meet(b,X_331)),X_587) = meet(X_587,join(meet(b,X_331),a)),
    inference(subst,[],[refute_0_1781:[bind(Y,$fot(X_587)),bind(X_518,$fot(meet(b,X_331)))]]) ).

cnf(refute_0_2711,plain,
    ( join(a,meet(b,X_331)) != join(a,meet(X_331,b))
    | meet(join(a,meet(b,X_331)),X_587) != meet(X_587,join(meet(b,X_331),a))
    | meet(join(a,meet(X_331,b)),X_587) = meet(X_587,join(meet(b,X_331),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,meet(b,X_331)),X_587),meet(X_587,join(meet(b,X_331),a))) ),[0,0],$fot(join(a,meet(X_331,b)))]]) ).

cnf(refute_0_2712,plain,
    ( meet(join(a,meet(b,X_331)),X_587) != meet(X_587,join(meet(b,X_331),a))
    | meet(join(a,meet(X_331,b)),X_587) = meet(X_587,join(meet(b,X_331),a)) ),
    inference(resolve,[$cnf( $equal(join(a,meet(b,X_331)),join(a,meet(X_331,b))) )],[refute_0_911,refute_0_2711]) ).

cnf(refute_0_2713,plain,
    meet(join(a,meet(X_331,b)),X_587) = meet(X_587,join(meet(b,X_331),a)),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(b,X_331)),X_587),meet(X_587,join(meet(b,X_331),a))) )],[refute_0_2710,refute_0_2712]) ).

cnf(refute_0_2714,plain,
    meet(X_452,meet(join(X_103,X_10),join(X_10,X_103))) = meet(join(X_10,X_103),meet(join(X_103,X_10),X_452)),
    inference(subst,[],[refute_0_603:[bind(Y,$fot(join(X_10,X_103))),bind(X_288,$fot(X_452)),bind(X_289,$fot(join(X_103,X_10)))]]) ).

cnf(refute_0_2715,plain,
    ( meet(X_452,meet(join(X_103,X_10),join(X_10,X_103))) != meet(join(X_10,X_103),meet(join(X_103,X_10),X_452))
    | meet(join(X_103,X_10),join(X_10,X_103)) != join(X_103,X_10)
    | meet(X_452,join(X_103,X_10)) = meet(join(X_10,X_103),meet(join(X_103,X_10),X_452)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_452,meet(join(X_103,X_10),join(X_10,X_103))),meet(join(X_10,X_103),meet(join(X_103,X_10),X_452))) ),[0,1],$fot(join(X_103,X_10))]]) ).

cnf(refute_0_2716,plain,
    ( meet(X_452,meet(join(X_103,X_10),join(X_10,X_103))) != meet(join(X_10,X_103),meet(join(X_103,X_10),X_452))
    | meet(X_452,join(X_103,X_10)) = meet(join(X_10,X_103),meet(join(X_103,X_10),X_452)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_103,X_10),join(X_10,X_103)),join(X_103,X_10)) )],[refute_0_734,refute_0_2715]) ).

cnf(refute_0_2717,plain,
    meet(X_452,join(X_103,X_10)) = meet(join(X_10,X_103),meet(join(X_103,X_10),X_452)),
    inference(resolve,[$cnf( $equal(meet(X_452,meet(join(X_103,X_10),join(X_10,X_103))),meet(join(X_10,X_103),meet(join(X_103,X_10),X_452))) )],[refute_0_2714,refute_0_2716]) ).

cnf(refute_0_2718,plain,
    meet(X,meet(join(X_186,X_185),join(X_185,X_186))) = meet(join(X_186,X_185),meet(join(X_185,X_186),X)),
    inference(subst,[],[refute_0_59:[bind(X_43,$fot(join(X_186,X_185))),bind(X_44,$fot(join(X_185,X_186)))]]) ).

cnf(refute_0_2719,plain,
    ( meet(X,meet(join(X_186,X_185),join(X_185,X_186))) != meet(join(X_186,X_185),meet(join(X_185,X_186),X))
    | meet(join(X_186,X_185),join(X_185,X_186)) != join(X_186,X_185)
    | meet(X,join(X_186,X_185)) = meet(join(X_186,X_185),meet(join(X_185,X_186),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(join(X_186,X_185),join(X_185,X_186))),meet(join(X_186,X_185),meet(join(X_185,X_186),X))) ),[0,1],$fot(join(X_186,X_185))]]) ).

cnf(refute_0_2720,plain,
    ( meet(X,meet(join(X_186,X_185),join(X_185,X_186))) != meet(join(X_186,X_185),meet(join(X_185,X_186),X))
    | meet(X,join(X_186,X_185)) = meet(join(X_186,X_185),meet(join(X_185,X_186),X)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_186,X_185),join(X_185,X_186)),join(X_186,X_185)) )],[refute_0_735,refute_0_2719]) ).

cnf(refute_0_2721,plain,
    meet(X,join(X_186,X_185)) = meet(join(X_186,X_185),meet(join(X_185,X_186),X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(join(X_186,X_185),join(X_185,X_186))),meet(join(X_186,X_185),meet(join(X_185,X_186),X))) )],[refute_0_2718,refute_0_2720]) ).

cnf(refute_0_2722,plain,
    ( meet(X,join(X_186,X_185)) != meet(join(X_186,X_185),meet(join(X_185,X_186),X))
    | meet(join(X_186,X_185),meet(join(X_185,X_186),X)) = meet(X,join(X_186,X_185)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,join(X_186,X_185)))),bind(Y0,$fot(meet(join(X_186,X_185),meet(join(X_185,X_186),X))))]]) ).

cnf(refute_0_2723,plain,
    meet(join(X_186,X_185),meet(join(X_185,X_186),X)) = meet(X,join(X_186,X_185)),
    inference(resolve,[$cnf( $equal(meet(X,join(X_186,X_185)),meet(join(X_186,X_185),meet(join(X_185,X_186),X))) )],[refute_0_2721,refute_0_2722]) ).

cnf(refute_0_2724,plain,
    meet(join(X_10,X_103),meet(join(X_103,X_10),X_452)) = meet(X_452,join(X_10,X_103)),
    inference(subst,[],[refute_0_2723:[bind(X,$fot(X_452)),bind(X_185,$fot(X_103)),bind(X_186,$fot(X_10))]]) ).

cnf(refute_0_2725,plain,
    ( meet(X_452,join(X_103,X_10)) != meet(join(X_10,X_103),meet(join(X_103,X_10),X_452))
    | meet(join(X_10,X_103),meet(join(X_103,X_10),X_452)) != meet(X_452,join(X_10,X_103))
    | meet(X_452,join(X_103,X_10)) = meet(X_452,join(X_10,X_103)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_452,join(X_103,X_10)),meet(X_452,join(X_10,X_103))) ),[0],$fot(meet(join(X_10,X_103),meet(join(X_103,X_10),X_452)))]]) ).

cnf(refute_0_2726,plain,
    ( meet(X_452,join(X_103,X_10)) != meet(join(X_10,X_103),meet(join(X_103,X_10),X_452))
    | meet(X_452,join(X_103,X_10)) = meet(X_452,join(X_10,X_103)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_10,X_103),meet(join(X_103,X_10),X_452)),meet(X_452,join(X_10,X_103))) )],[refute_0_2724,refute_0_2725]) ).

cnf(refute_0_2727,plain,
    meet(X_452,join(X_103,X_10)) = meet(X_452,join(X_10,X_103)),
    inference(resolve,[$cnf( $equal(meet(X_452,join(X_103,X_10)),meet(join(X_10,X_103),meet(join(X_103,X_10),X_452))) )],[refute_0_2717,refute_0_2726]) ).

cnf(refute_0_2728,plain,
    ( meet(X_452,join(X_103,X_10)) != meet(X_452,join(X_10,X_103))
    | meet(X_452,join(X_10,X_103)) = meet(X_452,join(X_103,X_10)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_452,join(X_103,X_10)))),bind(Y0,$fot(meet(X_452,join(X_10,X_103))))]]) ).

cnf(refute_0_2729,plain,
    meet(X_452,join(X_10,X_103)) = meet(X_452,join(X_103,X_10)),
    inference(resolve,[$cnf( $equal(meet(X_452,join(X_103,X_10)),meet(X_452,join(X_10,X_103))) )],[refute_0_2727,refute_0_2728]) ).

cnf(refute_0_2730,plain,
    meet(X_587,join(meet(b,X_331),a)) = meet(X_587,join(a,meet(b,X_331))),
    inference(subst,[],[refute_0_2729:[bind(X_10,$fot(meet(b,X_331))),bind(X_103,$fot(a)),bind(X_452,$fot(X_587))]]) ).

cnf(refute_0_2731,plain,
    ( meet(X_587,join(meet(b,X_331),a)) != meet(X_587,join(a,meet(b,X_331)))
    | meet(join(a,meet(X_331,b)),X_587) != meet(X_587,join(meet(b,X_331),a))
    | meet(join(a,meet(X_331,b)),X_587) = meet(X_587,join(a,meet(b,X_331))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,meet(X_331,b)),X_587),meet(X_587,join(meet(b,X_331),a))) ),[1],$fot(meet(X_587,join(a,meet(b,X_331))))]]) ).

cnf(refute_0_2732,plain,
    ( meet(join(a,meet(X_331,b)),X_587) != meet(X_587,join(meet(b,X_331),a))
    | meet(join(a,meet(X_331,b)),X_587) = meet(X_587,join(a,meet(b,X_331))) ),
    inference(resolve,[$cnf( $equal(meet(X_587,join(meet(b,X_331),a)),meet(X_587,join(a,meet(b,X_331)))) )],[refute_0_2730,refute_0_2731]) ).

cnf(refute_0_2733,plain,
    meet(join(a,meet(X_331,b)),X_587) = meet(X_587,join(a,meet(b,X_331))),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(X_331,b)),X_587),meet(X_587,join(meet(b,X_331),a))) )],[refute_0_2713,refute_0_2732]) ).

cnf(refute_0_2734,plain,
    ( meet(join(a,meet(X_331,b)),X_587) != meet(X_587,join(a,meet(b,X_331)))
    | meet(X_587,join(a,meet(b,X_331))) = meet(join(a,meet(X_331,b)),X_587) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(join(a,meet(X_331,b)),X_587))),bind(Y0,$fot(meet(X_587,join(a,meet(b,X_331)))))]]) ).

cnf(refute_0_2735,plain,
    meet(X_587,join(a,meet(b,X_331))) = meet(join(a,meet(X_331,b)),X_587),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(X_331,b)),X_587),meet(X_587,join(a,meet(b,X_331)))) )],[refute_0_2733,refute_0_2734]) ).

cnf(refute_0_2736,plain,
    meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) = meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))),
    inference(subst,[],[refute_0_2735:[bind(X_331,$fot(X_282)),bind(X_587,$fot(meet(X_687,meet(X_282,X_688))))]]) ).

cnf(refute_0_2737,plain,
    ( meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))) != meet(X_687,meet(X_688,meet(X_282,b)))
    | meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) != meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688)))
    | meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) = meet(X_687,meet(X_688,meet(X_282,b))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))))),bind(Y0,$fot(meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))))),bind(Z0,$fot(meet(X_687,meet(X_688,meet(X_282,b)))))]]) ).

cnf(refute_0_2738,plain,
    ( meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))) != meet(X_687,meet(X_688,meet(X_282,b)))
    | meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) = meet(X_687,meet(X_688,meet(X_282,b))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))),meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688)))) )],[refute_0_2736,refute_0_2737]) ).

cnf(refute_0_2739,plain,
    meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) = meet(X_687,meet(X_688,meet(X_282,b))),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(X_282,b)),meet(X_687,meet(X_282,X_688))),meet(X_687,meet(X_688,meet(X_282,b)))) )],[refute_0_2709,refute_0_2738]) ).

cnf(refute_0_2740,plain,
    ( meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) != meet(X_687,meet(X_688,meet(X_282,b)))
    | meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) != meet(b,meet(X_687,meet(X_282,X_688)))
    | meet(X_687,meet(X_688,meet(X_282,b))) = meet(b,meet(X_687,meet(X_282,X_688))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))),meet(b,meet(X_687,meet(X_282,X_688)))) ),[0],$fot(meet(X_687,meet(X_688,meet(X_282,b))))]]) ).

cnf(refute_0_2741,plain,
    ( meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))) != meet(b,meet(X_687,meet(X_282,X_688)))
    | meet(X_687,meet(X_688,meet(X_282,b))) = meet(b,meet(X_687,meet(X_282,X_688))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))),meet(X_687,meet(X_688,meet(X_282,b)))) )],[refute_0_2739,refute_0_2740]) ).

cnf(refute_0_2742,plain,
    meet(X_687,meet(X_688,meet(X_282,b))) = meet(b,meet(X_687,meet(X_282,X_688))),
    inference(resolve,[$cnf( $equal(meet(meet(X_687,meet(X_282,X_688)),join(a,meet(b,X_282))),meet(b,meet(X_687,meet(X_282,X_688)))) )],[refute_0_2687,refute_0_2741]) ).

cnf(refute_0_2743,plain,
    meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) = meet(b,meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_44,X_43))),
    inference(subst,[],[refute_0_2742:[bind(X_282,$fot(X_44)),bind(X_687,$fot(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))),bind(X_688,$fot(X_43))]]) ).

cnf(refute_0_2744,plain,
    ( meet(b,meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_44,X_43))) != meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))))
    | meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) != meet(b,meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_44,X_43)))
    | meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) = meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))))),bind(Y0,$fot(meet(b,meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_44,X_43))))),bind(Z0,$fot(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))))))]]) ).

cnf(refute_0_2745,plain,
    ( meet(b,meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_44,X_43))) != meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))))
    | meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) = meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) ),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))),meet(b,meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_44,X_43)))) )],[refute_0_2743,refute_0_2744]) ).

cnf(refute_0_2746,plain,
    meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) = meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_44,X_43))),meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))))) )],[refute_0_2682,refute_0_2745]) ).

cnf(refute_0_2747,plain,
    ( meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) != meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))))
    | meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) != meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))),meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))) ),[0],$fot(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))))]]) ).

cnf(refute_0_2748,plain,
    ( meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) != meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))),meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))))) )],[refute_0_2746,refute_0_2747]) ).

cnf(refute_0_2749,plain,
    meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44)) = meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))),
    inference(subst,[],[refute_0_2509:[bind(Y,$fot(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))),bind(X_288,$fot(X_44)),bind(X_289,$fot(X_43))]]) ).

cnf(refute_0_2750,plain,
    ( meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) != meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))
    | meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44)) != meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) ),[0],$fot(meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44)))]]) ).

cnf(refute_0_2751,plain,
    ( meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) != meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))) ),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44)),meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) )],[refute_0_2749,refute_0_2750]) ).

cnf(refute_0_2752,plain,
    ( meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))) != meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))) )],[refute_0_2748,refute_0_2751]) ).

cnf(refute_0_2753,plain,
    meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,meet(X_44,b))),meet(join(meet(X_44,b),meet(a,complement(meet(X_44,b)))),meet(X_43,X_44))) )],[refute_0_2586,refute_0_2752]) ).

cnf(refute_0_2754,plain,
    meet(b,meet(X_44,meet(X_43,b))) = meet(b,meet(X_44,X_43)),
    inference(subst,[],[refute_0_526:[bind(X_10,$fot(b)),bind(X_43,$fot(X_44)),bind(X_44,$fot(X_43))]]) ).

cnf(refute_0_2755,plain,
    meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) = meet(X_43,meet(X_15,meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b))))))),
    inference(subst,[],[refute_0_82:[bind(X_45,$fot(join(meet(X_43,b),meet(a,complement(meet(X_43,b))))))]]) ).

cnf(refute_0_2756,plain,
    meet(X_43,b) = meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b))))),
    inference(subst,[],[refute_0_2580:[bind(X_611,$fot(X_43))]]) ).

cnf(refute_0_2757,plain,
    ( meet(X_43,b) != meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))
    | meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b))))) = meet(X_43,b) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_43,b))),bind(Y0,$fot(meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))))]]) ).

cnf(refute_0_2758,plain,
    meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b))))) = meet(X_43,b),
    inference(resolve,[$cnf( $equal(meet(X_43,b),meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) )],[refute_0_2756,refute_0_2757]) ).

cnf(refute_0_2759,plain,
    ( meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b))))) != meet(X_43,b)
    | meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) != meet(X_43,meet(X_15,meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))))
    | meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) = meet(X_43,meet(X_15,meet(X_43,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))),meet(X_43,meet(X_15,meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))))) ),[1,1,1],$fot(meet(X_43,b))]]) ).

cnf(refute_0_2760,plain,
    ( meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) != meet(X_43,meet(X_15,meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))))
    | meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) = meet(X_43,meet(X_15,meet(X_43,b))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b))))),meet(X_43,b)) )],[refute_0_2758,refute_0_2759]) ).

cnf(refute_0_2761,plain,
    meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) = meet(X_43,meet(X_15,meet(X_43,b))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))),meet(X_43,meet(X_15,meet(X_43,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))))) )],[refute_0_2755,refute_0_2760]) ).

cnf(refute_0_2762,plain,
    meet(X_43,meet(X_15,meet(X_43,b))) = meet(X_43,meet(X_15,b)),
    inference(subst,[],[refute_0_84:[bind(X_45,$fot(b))]]) ).

cnf(refute_0_2763,plain,
    ( meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) != meet(X_43,meet(X_15,meet(X_43,b)))
    | meet(X_43,meet(X_15,meet(X_43,b))) != meet(X_43,meet(X_15,b))
    | meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) = meet(X_43,meet(X_15,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))),meet(X_43,meet(X_15,b))) ),[0],$fot(meet(X_43,meet(X_15,meet(X_43,b))))]]) ).

cnf(refute_0_2764,plain,
    ( meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) != meet(X_43,meet(X_15,meet(X_43,b)))
    | meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) = meet(X_43,meet(X_15,b)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,meet(X_43,b))),meet(X_43,meet(X_15,b))) )],[refute_0_2762,refute_0_2763]) ).

cnf(refute_0_2765,plain,
    meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))) = meet(X_43,meet(X_15,b)),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,join(meet(X_43,b),meet(a,complement(meet(X_43,b)))))),meet(X_43,meet(X_15,meet(X_43,b)))) )],[refute_0_2761,refute_0_2764]) ).

cnf(refute_0_2766,plain,
    meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))) = meet(X_44,meet(X_43,b)),
    inference(subst,[],[refute_0_2765:[bind(X_15,$fot(X_43)),bind(X_43,$fot(X_44))]]) ).

cnf(refute_0_2767,plain,
    meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),
    introduced(tautology,[refl,[$fot(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))))]]) ).

cnf(refute_0_2768,plain,
    ( meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))) != meet(X_44,meet(X_43,b))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) != meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(b,meet(X_44,meet(X_43,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))))) ),[1,1],$fot(meet(X_44,meet(X_43,b)))]]) ).

cnf(refute_0_2769,plain,
    ( meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))) != meet(X_44,meet(X_43,b))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(b,meet(X_44,meet(X_43,b))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))))) )],[refute_0_2767,refute_0_2768]) ).

cnf(refute_0_2770,plain,
    meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(b,meet(X_44,meet(X_43,b))),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))),meet(X_44,meet(X_43,b))) )],[refute_0_2766,refute_0_2769]) ).

cnf(refute_0_2771,plain,
    ( meet(b,meet(X_44,meet(X_43,b))) != meet(b,meet(X_44,X_43))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) != meet(b,meet(X_44,meet(X_43,b)))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(b,meet(X_44,X_43)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))))),bind(Y0,$fot(meet(b,meet(X_44,meet(X_43,b))))),bind(Z0,$fot(meet(b,meet(X_44,X_43))))]]) ).

cnf(refute_0_2772,plain,
    ( meet(b,meet(X_44,meet(X_43,b))) != meet(b,meet(X_44,X_43))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(b,meet(X_44,X_43)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),meet(b,meet(X_44,meet(X_43,b)))) )],[refute_0_2770,refute_0_2771]) ).

cnf(refute_0_2773,plain,
    meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) = meet(b,meet(X_44,X_43)),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,meet(X_43,b))),meet(b,meet(X_44,X_43))) )],[refute_0_2754,refute_0_2772]) ).

cnf(refute_0_2774,plain,
    ( meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) != meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))
    | meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) != meet(b,meet(X_44,X_43))
    | meet(b,meet(X_44,X_43)) = meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) ),[0],$fot(meet(b,meet(X_44,X_43)))]]) ).

cnf(refute_0_2775,plain,
    ( meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) != meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))
    | meet(b,meet(X_44,X_43)) = meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),meet(b,meet(X_44,X_43))) )],[refute_0_2773,refute_0_2774]) ).

cnf(refute_0_2776,plain,
    ( meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))) != meet(X_44,meet(X_43,b))
    | meet(b,meet(X_44,X_43)) != meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))
    | meet(b,meet(X_44,X_43)) = meet(X_44,meet(X_43,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_44,X_43)),meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) ),[1],$fot(meet(X_44,meet(X_43,b)))]]) ).

cnf(refute_0_2777,plain,
    ( meet(b,meet(X_44,X_43)) != meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))
    | meet(b,meet(X_44,X_43)) = meet(X_44,meet(X_43,b)) ),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b)))))),meet(X_44,meet(X_43,b))) )],[refute_0_2766,refute_0_2776]) ).

cnf(refute_0_2778,plain,
    ( meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) != meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))
    | meet(b,meet(X_44,X_43)) = meet(X_44,meet(X_43,b)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,X_43)),meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) )],[refute_0_2775,refute_0_2777]) ).

cnf(refute_0_2779,plain,
    meet(b,meet(X_44,X_43)) = meet(X_44,meet(X_43,b)),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))),meet(X_44,meet(X_43,join(meet(X_44,b),meet(a,complement(meet(X_44,b))))))) )],[refute_0_2753,refute_0_2778]) ).

cnf(refute_0_2780,plain,
    ( meet(b,meet(X_44,X_43)) != meet(X_44,meet(X_43,b))
    | meet(X_44,meet(X_43,b)) = meet(b,meet(X_44,X_43)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(b,meet(X_44,X_43)))),bind(Y0,$fot(meet(X_44,meet(X_43,b))))]]) ).

cnf(refute_0_2781,plain,
    meet(X_44,meet(X_43,b)) = meet(b,meet(X_44,X_43)),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,X_43)),meet(X_44,meet(X_43,b))) )],[refute_0_2779,refute_0_2780]) ).

cnf(refute_0_2782,plain,
    meet(complement(join(a,X_400)),meet(X_713,b)) = meet(b,meet(complement(join(a,X_400)),X_713)),
    inference(subst,[],[refute_0_2781:[bind(X_43,$fot(X_713)),bind(X_44,$fot(complement(join(a,X_400))))]]) ).

cnf(refute_0_2783,plain,
    ( meet(b,meet(X_713,complement(join(X_400,a)))) != meet(complement(join(a,X_400)),meet(X_713,b))
    | meet(complement(join(a,X_400)),meet(X_713,b)) != meet(b,meet(complement(join(a,X_400)),X_713))
    | meet(b,meet(X_713,complement(join(X_400,a)))) = meet(b,meet(complement(join(a,X_400)),X_713)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,meet(X_713,complement(join(X_400,a)))),meet(b,meet(complement(join(a,X_400)),X_713))) ),[0],$fot(meet(complement(join(a,X_400)),meet(X_713,b)))]]) ).

cnf(refute_0_2784,plain,
    ( meet(b,meet(X_713,complement(join(X_400,a)))) != meet(complement(join(a,X_400)),meet(X_713,b))
    | meet(b,meet(X_713,complement(join(X_400,a)))) = meet(b,meet(complement(join(a,X_400)),X_713)) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,X_400)),meet(X_713,b)),meet(b,meet(complement(join(a,X_400)),X_713))) )],[refute_0_2782,refute_0_2783]) ).

cnf(refute_0_2785,plain,
    ( meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) != meet(complement(join(a,X_400)),meet(X_713,b))
    | meet(b,meet(X_713,complement(join(X_400,a)))) = meet(b,meet(complement(join(a,X_400)),X_713)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_713,complement(join(X_400,a)))),meet(complement(join(a,X_400)),meet(X_713,b))) )],[refute_0_2525,refute_0_2784]) ).

cnf(refute_0_2786,plain,
    meet(b,meet(X_713,complement(join(X_400,a)))) = meet(b,meet(complement(join(a,X_400)),X_713)),
    inference(resolve,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))),meet(complement(join(a,X_400)),meet(X_713,b))) )],[refute_0_2110,refute_0_2785]) ).

cnf(refute_0_2787,plain,
    ( meet(b,meet(X_713,complement(join(X_400,a)))) != meet(b,meet(complement(join(a,X_400)),X_713))
    | meet(b,meet(complement(join(a,X_400)),X_713)) = meet(b,meet(X_713,complement(join(X_400,a)))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(b,meet(X_713,complement(join(X_400,a)))))),bind(Y0,$fot(meet(b,meet(complement(join(a,X_400)),X_713))))]]) ).

cnf(refute_0_2788,plain,
    meet(b,meet(complement(join(a,X_400)),X_713)) = meet(b,meet(X_713,complement(join(X_400,a)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_713,complement(join(X_400,a)))),meet(b,meet(complement(join(a,X_400)),X_713))) )],[refute_0_2786,refute_0_2787]) ).

cnf(refute_0_2789,plain,
    meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) = meet(b,meet(join(a,X_744),complement(join(meet(b,meet(join(b,X_744),join(a,X_744))),a)))),
    inference(subst,[],[refute_0_2788:[bind(X_400,$fot(meet(b,meet(join(b,X_744),join(a,X_744))))),bind(X_713,$fot(join(a,X_744)))]]) ).

cnf(refute_0_2790,plain,
    ( meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) != meet(b,meet(join(a,X_744),complement(join(meet(b,meet(join(b,X_744),join(a,X_744))),a))))
    | meet(b,meet(join(a,X_744),complement(join(meet(b,meet(join(b,X_744),join(a,X_744))),a)))) != meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))
    | meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))))),bind(Y0,$fot(meet(b,meet(join(a,X_744),complement(join(meet(b,meet(join(b,X_744),join(a,X_744))),a)))))),bind(Z0,$fot(meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))))]]) ).

cnf(refute_0_2791,plain,
    ( meet(b,meet(join(a,X_744),complement(join(meet(b,meet(join(b,X_744),join(a,X_744))),a)))) != meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))
    | meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))),meet(b,meet(join(a,X_744),complement(join(meet(b,meet(join(b,X_744),join(a,X_744))),a))))) )],[refute_0_2789,refute_0_2790]) ).

cnf(refute_0_2792,plain,
    meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,X_744),complement(join(meet(b,meet(join(b,X_744),join(a,X_744))),a)))),meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))) )],[refute_0_2105,refute_0_2791]) ).

cnf(refute_0_2793,plain,
    ( meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) != meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))
    | meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) != meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744)))))
    | meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))))),bind(Y0,$fot(meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))))),bind(Z0,$fot(meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744)))))))]]) ).

cnf(refute_0_2794,plain,
    ( meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))) != meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744)))))
    | meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))),meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744)))))))) )],[refute_0_2792,refute_0_2793]) ).

cnf(refute_0_2795,plain,
    meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) = meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,X_744),complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))))),meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744)))))) )],[refute_0_1836,refute_0_2794]) ).

cnf(refute_0_2796,plain,
    ( meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) != meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744)))))
    | meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) != zero
    | meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))),zero) ),[0],$fot(meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744))))))]]) ).

cnf(refute_0_2797,plain,
    ( meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))) != zero
    | meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))),meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744)))))) )],[refute_0_2795,refute_0_2796]) ).

cnf(refute_0_2798,plain,
    meet(b,meet(join(a,X_744),complement(join(a,meet(b,X_744))))) = zero,
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(a,meet(b,meet(join(b,X_744),join(a,X_744))))),join(a,X_744))),zero) )],[refute_0_1677,refute_0_2797]) ).

cnf(refute_0_2799,plain,
    meet(b,meet(join(a,complement(b)),complement(join(a,meet(b,complement(b)))))) = zero,
    inference(subst,[],[refute_0_2798:[bind(X_744,$fot(complement(b)))]]) ).

cnf(refute_0_2800,plain,
    ( meet(b,complement(b)) != zero
    | meet(b,meet(join(a,complement(b)),complement(join(a,meet(b,complement(b)))))) != zero
    | meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(join(a,complement(b)),complement(join(a,meet(b,complement(b)))))),zero) ),[0,1,1,0,1],$fot(zero)]]) ).

cnf(refute_0_2801,plain,
    ( meet(b,meet(join(a,complement(b)),complement(join(a,meet(b,complement(b)))))) != zero
    | meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,complement(b)),zero) )],[refute_0_366,refute_0_2800]) ).

cnf(refute_0_2802,plain,
    meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) = zero,
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,complement(b)),complement(join(a,meet(b,complement(b)))))),zero) )],[refute_0_2799,refute_0_2801]) ).

cnf(refute_0_2803,plain,
    join(a,zero) = a,
    inference(subst,[],[refute_0_1363:[bind(X_14,$fot(a))]]) ).

cnf(refute_0_2804,plain,
    complement(join(a,zero)) = complement(join(a,zero)),
    introduced(tautology,[refl,[$fot(complement(join(a,zero)))]]) ).

cnf(refute_0_2805,plain,
    ( complement(join(a,zero)) != complement(join(a,zero))
    | join(a,zero) != a
    | complement(join(a,zero)) = complement(a) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(a,zero)),complement(join(a,zero))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_2806,plain,
    ( join(a,zero) != a
    | complement(join(a,zero)) = complement(a) ),
    inference(resolve,[$cnf( $equal(complement(join(a,zero)),complement(join(a,zero))) )],[refute_0_2804,refute_0_2805]) ).

cnf(refute_0_2807,plain,
    complement(join(a,zero)) = complement(a),
    inference(resolve,[$cnf( $equal(join(a,zero),a) )],[refute_0_2803,refute_0_2806]) ).

cnf(refute_0_2808,plain,
    meet(complement(join(a,zero)),join(a,complement(b))) = meet(complement(join(a,zero)),join(a,complement(b))),
    introduced(tautology,[refl,[$fot(meet(complement(join(a,zero)),join(a,complement(b))))]]) ).

cnf(refute_0_2809,plain,
    ( complement(join(a,zero)) != complement(a)
    | meet(complement(join(a,zero)),join(a,complement(b))) != meet(complement(join(a,zero)),join(a,complement(b)))
    | meet(complement(join(a,zero)),join(a,complement(b))) = meet(complement(a),join(a,complement(b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(a,zero)),join(a,complement(b))),meet(complement(join(a,zero)),join(a,complement(b)))) ),[1,0],$fot(complement(a))]]) ).

cnf(refute_0_2810,plain,
    ( complement(join(a,zero)) != complement(a)
    | meet(complement(join(a,zero)),join(a,complement(b))) = meet(complement(a),join(a,complement(b))) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,zero)),join(a,complement(b))),meet(complement(join(a,zero)),join(a,complement(b)))) )],[refute_0_2808,refute_0_2809]) ).

cnf(refute_0_2811,plain,
    meet(complement(join(a,zero)),join(a,complement(b))) = meet(complement(a),join(a,complement(b))),
    inference(resolve,[$cnf( $equal(complement(join(a,zero)),complement(a)) )],[refute_0_2807,refute_0_2810]) ).

cnf(refute_0_2812,plain,
    meet(b,meet(complement(join(a,zero)),join(a,complement(b)))) = meet(b,meet(complement(join(a,zero)),join(a,complement(b)))),
    introduced(tautology,[refl,[$fot(meet(b,meet(complement(join(a,zero)),join(a,complement(b)))))]]) ).

cnf(refute_0_2813,plain,
    ( meet(b,meet(complement(join(a,zero)),join(a,complement(b)))) != meet(b,meet(complement(join(a,zero)),join(a,complement(b))))
    | meet(complement(join(a,zero)),join(a,complement(b))) != meet(complement(a),join(a,complement(b)))
    | meet(b,meet(complement(join(a,zero)),join(a,complement(b)))) = meet(b,meet(complement(a),join(a,complement(b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(complement(join(a,zero)),join(a,complement(b)))),meet(b,meet(complement(join(a,zero)),join(a,complement(b))))) ),[1,1],$fot(meet(complement(a),join(a,complement(b))))]]) ).

cnf(refute_0_2814,plain,
    ( meet(complement(join(a,zero)),join(a,complement(b))) != meet(complement(a),join(a,complement(b)))
    | meet(b,meet(complement(join(a,zero)),join(a,complement(b)))) = meet(b,meet(complement(a),join(a,complement(b)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(a,zero)),join(a,complement(b)))),meet(b,meet(complement(join(a,zero)),join(a,complement(b))))) )],[refute_0_2812,refute_0_2813]) ).

cnf(refute_0_2815,plain,
    meet(b,meet(complement(join(a,zero)),join(a,complement(b)))) = meet(b,meet(complement(a),join(a,complement(b)))),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,zero)),join(a,complement(b))),meet(complement(a),join(a,complement(b)))) )],[refute_0_2811,refute_0_2814]) ).

cnf(refute_0_2816,plain,
    meet(meet(b,complement(join(X_657,a))),Z) = meet(b,meet(complement(join(X_657,a)),Z)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(complement(join(X_657,a))))]]) ).

cnf(refute_0_2817,plain,
    ( meet(b,complement(join(X_657,a))) != meet(b,complement(join(a,X_657)))
    | meet(meet(b,complement(join(X_657,a))),Z) != meet(b,meet(complement(join(X_657,a)),Z))
    | meet(meet(b,complement(join(a,X_657))),Z) = meet(b,meet(complement(join(X_657,a)),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,complement(join(X_657,a))),Z),meet(b,meet(complement(join(X_657,a)),Z))) ),[0,0],$fot(meet(b,complement(join(a,X_657))))]]) ).

cnf(refute_0_2818,plain,
    ( meet(meet(b,complement(join(X_657,a))),Z) != meet(b,meet(complement(join(X_657,a)),Z))
    | meet(meet(b,complement(join(a,X_657))),Z) = meet(b,meet(complement(join(X_657,a)),Z)) ),
    inference(resolve,[$cnf( $equal(meet(b,complement(join(X_657,a))),meet(b,complement(join(a,X_657)))) )],[refute_0_2097,refute_0_2817]) ).

cnf(refute_0_2819,plain,
    meet(meet(b,complement(join(a,X_657))),Z) = meet(b,meet(complement(join(X_657,a)),Z)),
    inference(resolve,[$cnf( $equal(meet(meet(b,complement(join(X_657,a))),Z),meet(b,meet(complement(join(X_657,a)),Z))) )],[refute_0_2816,refute_0_2818]) ).

cnf(refute_0_2820,plain,
    meet(meet(b,complement(join(a,X_657))),Z) = meet(b,meet(complement(join(a,X_657)),Z)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(complement(join(a,X_657))))]]) ).

cnf(refute_0_2821,plain,
    ( meet(meet(b,complement(join(a,X_657))),Z) != meet(b,meet(complement(join(X_657,a)),Z))
    | meet(meet(b,complement(join(a,X_657))),Z) != meet(b,meet(complement(join(a,X_657)),Z))
    | meet(b,meet(complement(join(a,X_657)),Z)) = meet(b,meet(complement(join(X_657,a)),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,complement(join(a,X_657))),Z),meet(b,meet(complement(join(X_657,a)),Z))) ),[0],$fot(meet(b,meet(complement(join(a,X_657)),Z)))]]) ).

cnf(refute_0_2822,plain,
    ( meet(meet(b,complement(join(a,X_657))),Z) != meet(b,meet(complement(join(X_657,a)),Z))
    | meet(b,meet(complement(join(a,X_657)),Z)) = meet(b,meet(complement(join(X_657,a)),Z)) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,complement(join(a,X_657))),Z),meet(b,meet(complement(join(a,X_657)),Z))) )],[refute_0_2820,refute_0_2821]) ).

cnf(refute_0_2823,plain,
    meet(b,meet(complement(join(a,X_657)),Z)) = meet(b,meet(complement(join(X_657,a)),Z)),
    inference(resolve,[$cnf( $equal(meet(meet(b,complement(join(a,X_657))),Z),meet(b,meet(complement(join(X_657,a)),Z))) )],[refute_0_2819,refute_0_2822]) ).

cnf(refute_0_2824,plain,
    ( meet(b,meet(complement(join(a,X_657)),Z)) != meet(b,meet(complement(join(X_657,a)),Z))
    | meet(b,meet(complement(join(X_657,a)),Z)) = meet(b,meet(complement(join(a,X_657)),Z)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(b,meet(complement(join(a,X_657)),Z)))),bind(Y0,$fot(meet(b,meet(complement(join(X_657,a)),Z))))]]) ).

cnf(refute_0_2825,plain,
    meet(b,meet(complement(join(X_657,a)),Z)) = meet(b,meet(complement(join(a,X_657)),Z)),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(a,X_657)),Z)),meet(b,meet(complement(join(X_657,a)),Z))) )],[refute_0_2823,refute_0_2824]) ).

cnf(refute_0_2826,plain,
    meet(b,meet(complement(join(zero,a)),join(a,complement(b)))) = meet(b,meet(complement(join(a,zero)),join(a,complement(b)))),
    inference(subst,[],[refute_0_2825:[bind(Z,$fot(join(a,complement(b)))),bind(X_657,$fot(zero))]]) ).

cnf(refute_0_2827,plain,
    meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) = meet(complement(join(X_400,a)),meet(X_713,b)),
    inference(subst,[],[refute_0_772:[bind(X_532,$fot(complement(join(X_400,a)))),bind(X_533,$fot(X_713))]]) ).

cnf(refute_0_2828,plain,
    ( meet(complement(join(a,X_400)),join(a,meet(b,X_713))) != meet(complement(join(X_400,a)),join(a,meet(b,X_713)))
    | meet(complement(join(X_400,a)),join(a,meet(b,X_713))) = meet(complement(join(a,X_400)),join(a,meet(b,X_713))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(complement(join(a,X_400)),join(a,meet(b,X_713))))),bind(Y0,$fot(meet(complement(join(X_400,a)),join(a,meet(b,X_713)))))]]) ).

cnf(refute_0_2829,plain,
    meet(complement(join(X_400,a)),join(a,meet(b,X_713))) = meet(complement(join(a,X_400)),join(a,meet(b,X_713))),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,X_400)),join(a,meet(b,X_713))),meet(complement(join(X_400,a)),join(a,meet(b,X_713)))) )],[refute_0_2107,refute_0_2828]) ).

cnf(refute_0_2830,plain,
    ( meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) != meet(complement(join(X_400,a)),meet(X_713,b))
    | meet(complement(join(X_400,a)),join(a,meet(b,X_713))) != meet(complement(join(a,X_400)),join(a,meet(b,X_713)))
    | meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) = meet(complement(join(X_400,a)),meet(X_713,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))),meet(complement(join(X_400,a)),meet(X_713,b))) ),[0,1,1],$fot(meet(complement(join(a,X_400)),join(a,meet(b,X_713))))]]) ).

cnf(refute_0_2831,plain,
    ( meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))) != meet(complement(join(X_400,a)),meet(X_713,b))
    | meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) = meet(complement(join(X_400,a)),meet(X_713,b)) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(X_400,a)),join(a,meet(b,X_713))),meet(complement(join(a,X_400)),join(a,meet(b,X_713)))) )],[refute_0_2829,refute_0_2830]) ).

cnf(refute_0_2832,plain,
    meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) = meet(complement(join(X_400,a)),meet(X_713,b)),
    inference(resolve,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(X_400,a)),join(a,meet(b,X_713))))),meet(complement(join(X_400,a)),meet(X_713,b))) )],[refute_0_2827,refute_0_2831]) ).

cnf(refute_0_2833,plain,
    meet(b,meet(b,meet(X_713,complement(join(a,X_400))))) = meet(b,meet(X_713,complement(join(a,X_400)))),
    inference(subst,[],[refute_0_53:[bind(X_10,$fot(b)),bind(X_15,$fot(meet(X_713,complement(join(a,X_400)))))]]) ).

cnf(refute_0_2834,plain,
    meet(complement(join(a,X_400)),meet(X_713,meet(b,b))) = meet(b,meet(b,meet(X_713,complement(join(a,X_400))))),
    inference(subst,[],[refute_0_2401:[bind(X,$fot(complement(join(a,X_400)))),bind(Y,$fot(b)),bind(X_712,$fot(X_713))]]) ).

cnf(refute_0_2835,plain,
    ( meet(b,meet(b,meet(X_713,complement(join(a,X_400))))) != meet(b,meet(X_713,complement(join(a,X_400))))
    | meet(complement(join(a,X_400)),meet(X_713,meet(b,b))) != meet(b,meet(b,meet(X_713,complement(join(a,X_400)))))
    | meet(complement(join(a,X_400)),meet(X_713,meet(b,b))) = meet(b,meet(X_713,complement(join(a,X_400)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(join(a,X_400)),meet(X_713,meet(b,b))))),bind(Y0,$fot(meet(b,meet(b,meet(X_713,complement(join(a,X_400))))))),bind(Z0,$fot(meet(b,meet(X_713,complement(join(a,X_400))))))]]) ).

cnf(refute_0_2836,plain,
    ( meet(b,meet(b,meet(X_713,complement(join(a,X_400))))) != meet(b,meet(X_713,complement(join(a,X_400))))
    | meet(complement(join(a,X_400)),meet(X_713,meet(b,b))) = meet(b,meet(X_713,complement(join(a,X_400)))) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,X_400)),meet(X_713,meet(b,b))),meet(b,meet(b,meet(X_713,complement(join(a,X_400)))))) )],[refute_0_2834,refute_0_2835]) ).

cnf(refute_0_2837,plain,
    meet(complement(join(a,X_400)),meet(X_713,meet(b,b))) = meet(b,meet(X_713,complement(join(a,X_400)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(b,meet(X_713,complement(join(a,X_400))))),meet(b,meet(X_713,complement(join(a,X_400))))) )],[refute_0_2833,refute_0_2836]) ).

cnf(refute_0_2838,plain,
    meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) = meet(complement(join(a,X_400)),meet(X_713,meet(b,b))),
    inference(subst,[],[refute_0_2519:[bind(X_43,$fot(b)),bind(X_44,$fot(X_713)),bind(X_712,$fot(complement(join(a,X_400))))]]) ).

cnf(refute_0_2839,plain,
    ( meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) != meet(complement(join(a,X_400)),meet(X_713,meet(b,b)))
    | meet(complement(join(a,X_400)),meet(X_713,meet(b,b))) != meet(b,meet(X_713,complement(join(a,X_400))))
    | meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) = meet(b,meet(X_713,complement(join(a,X_400)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))))),bind(Y0,$fot(meet(complement(join(a,X_400)),meet(X_713,meet(b,b))))),bind(Z0,$fot(meet(b,meet(X_713,complement(join(a,X_400))))))]]) ).

cnf(refute_0_2840,plain,
    ( meet(complement(join(a,X_400)),meet(X_713,meet(b,b))) != meet(b,meet(X_713,complement(join(a,X_400))))
    | meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) = meet(b,meet(X_713,complement(join(a,X_400)))) ),
    inference(resolve,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))),meet(complement(join(a,X_400)),meet(X_713,meet(b,b)))) )],[refute_0_2838,refute_0_2839]) ).

cnf(refute_0_2841,plain,
    meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) = meet(b,meet(X_713,complement(join(a,X_400)))),
    inference(resolve,[$cnf( $equal(meet(complement(join(a,X_400)),meet(X_713,meet(b,b))),meet(b,meet(X_713,complement(join(a,X_400))))) )],[refute_0_2837,refute_0_2840]) ).

cnf(refute_0_2842,plain,
    ( meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) != meet(b,meet(X_713,complement(join(a,X_400))))
    | meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) != meet(complement(join(X_400,a)),meet(X_713,b))
    | meet(b,meet(X_713,complement(join(a,X_400)))) = meet(complement(join(X_400,a)),meet(X_713,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))),meet(complement(join(X_400,a)),meet(X_713,b))) ),[0],$fot(meet(b,meet(X_713,complement(join(a,X_400)))))]]) ).

cnf(refute_0_2843,plain,
    ( meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) != meet(complement(join(X_400,a)),meet(X_713,b))
    | meet(b,meet(X_713,complement(join(a,X_400)))) = meet(complement(join(X_400,a)),meet(X_713,b)) ),
    inference(resolve,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))),meet(b,meet(X_713,complement(join(a,X_400))))) )],[refute_0_2841,refute_0_2842]) ).

cnf(refute_0_2844,plain,
    meet(complement(join(X_400,a)),meet(X_713,b)) = meet(b,meet(complement(join(X_400,a)),X_713)),
    inference(subst,[],[refute_0_2781:[bind(X_43,$fot(X_713)),bind(X_44,$fot(complement(join(X_400,a))))]]) ).

cnf(refute_0_2845,plain,
    ( meet(b,meet(X_713,complement(join(a,X_400)))) != meet(complement(join(X_400,a)),meet(X_713,b))
    | meet(complement(join(X_400,a)),meet(X_713,b)) != meet(b,meet(complement(join(X_400,a)),X_713))
    | meet(b,meet(X_713,complement(join(a,X_400)))) = meet(b,meet(complement(join(X_400,a)),X_713)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,meet(X_713,complement(join(a,X_400)))),meet(b,meet(complement(join(X_400,a)),X_713))) ),[0],$fot(meet(complement(join(X_400,a)),meet(X_713,b)))]]) ).

cnf(refute_0_2846,plain,
    ( meet(b,meet(X_713,complement(join(a,X_400)))) != meet(complement(join(X_400,a)),meet(X_713,b))
    | meet(b,meet(X_713,complement(join(a,X_400)))) = meet(b,meet(complement(join(X_400,a)),X_713)) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(X_400,a)),meet(X_713,b)),meet(b,meet(complement(join(X_400,a)),X_713))) )],[refute_0_2844,refute_0_2845]) ).

cnf(refute_0_2847,plain,
    ( meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))) != meet(complement(join(X_400,a)),meet(X_713,b))
    | meet(b,meet(X_713,complement(join(a,X_400)))) = meet(b,meet(complement(join(X_400,a)),X_713)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_713,complement(join(a,X_400)))),meet(complement(join(X_400,a)),meet(X_713,b))) )],[refute_0_2843,refute_0_2846]) ).

cnf(refute_0_2848,plain,
    meet(b,meet(X_713,complement(join(a,X_400)))) = meet(b,meet(complement(join(X_400,a)),X_713)),
    inference(resolve,[$cnf( $equal(meet(X_713,meet(b,meet(complement(join(a,X_400)),join(a,meet(b,X_713))))),meet(complement(join(X_400,a)),meet(X_713,b))) )],[refute_0_2832,refute_0_2847]) ).

cnf(refute_0_2849,plain,
    meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) = meet(b,meet(complement(join(zero,a)),join(a,complement(b)))),
    inference(subst,[],[refute_0_2848:[bind(X_400,$fot(zero)),bind(X_713,$fot(join(a,complement(b))))]]) ).

cnf(refute_0_2850,plain,
    ( meet(b,meet(complement(join(zero,a)),join(a,complement(b)))) != meet(b,meet(complement(join(a,zero)),join(a,complement(b))))
    | meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) != meet(b,meet(complement(join(zero,a)),join(a,complement(b))))
    | meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) = meet(b,meet(complement(join(a,zero)),join(a,complement(b)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(join(a,complement(b)),complement(join(a,zero)))))),bind(Y0,$fot(meet(b,meet(complement(join(zero,a)),join(a,complement(b)))))),bind(Z0,$fot(meet(b,meet(complement(join(a,zero)),join(a,complement(b))))))]]) ).

cnf(refute_0_2851,plain,
    ( meet(b,meet(complement(join(zero,a)),join(a,complement(b)))) != meet(b,meet(complement(join(a,zero)),join(a,complement(b))))
    | meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) = meet(b,meet(complement(join(a,zero)),join(a,complement(b)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,complement(b)),complement(join(a,zero)))),meet(b,meet(complement(join(zero,a)),join(a,complement(b))))) )],[refute_0_2849,refute_0_2850]) ).

cnf(refute_0_2852,plain,
    meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) = meet(b,meet(complement(join(a,zero)),join(a,complement(b)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(zero,a)),join(a,complement(b)))),meet(b,meet(complement(join(a,zero)),join(a,complement(b))))) )],[refute_0_2826,refute_0_2851]) ).

cnf(refute_0_2853,plain,
    ( meet(b,meet(complement(join(a,zero)),join(a,complement(b)))) != meet(b,meet(complement(a),join(a,complement(b))))
    | meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) != meet(b,meet(complement(join(a,zero)),join(a,complement(b))))
    | meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) = meet(b,meet(complement(a),join(a,complement(b)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(join(a,complement(b)),complement(join(a,zero)))))),bind(Y0,$fot(meet(b,meet(complement(join(a,zero)),join(a,complement(b)))))),bind(Z0,$fot(meet(b,meet(complement(a),join(a,complement(b))))))]]) ).

cnf(refute_0_2854,plain,
    ( meet(b,meet(complement(join(a,zero)),join(a,complement(b)))) != meet(b,meet(complement(a),join(a,complement(b))))
    | meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) = meet(b,meet(complement(a),join(a,complement(b)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,complement(b)),complement(join(a,zero)))),meet(b,meet(complement(join(a,zero)),join(a,complement(b))))) )],[refute_0_2852,refute_0_2853]) ).

cnf(refute_0_2855,plain,
    meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) = meet(b,meet(complement(a),join(a,complement(b)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(a,zero)),join(a,complement(b)))),meet(b,meet(complement(a),join(a,complement(b))))) )],[refute_0_2815,refute_0_2854]) ).

cnf(refute_0_2856,plain,
    ( meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) != meet(b,meet(complement(a),join(a,complement(b))))
    | meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) != zero
    | meet(b,meet(complement(a),join(a,complement(b)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(join(a,complement(b)),complement(join(a,zero)))),zero) ),[0],$fot(meet(b,meet(complement(a),join(a,complement(b)))))]]) ).

cnf(refute_0_2857,plain,
    ( meet(b,meet(join(a,complement(b)),complement(join(a,zero)))) != zero
    | meet(b,meet(complement(a),join(a,complement(b)))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,complement(b)),complement(join(a,zero)))),meet(b,meet(complement(a),join(a,complement(b))))) )],[refute_0_2855,refute_0_2856]) ).

cnf(refute_0_2858,plain,
    meet(b,meet(complement(a),join(a,complement(b)))) = zero,
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,complement(b)),complement(join(a,zero)))),zero) )],[refute_0_2802,refute_0_2857]) ).

cnf(refute_0_2859,plain,
    ( ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(meet(b,meet(complement(a),join(a,complement(b)))),zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != join(a,complement(b))
    | meet(b,meet(complement(a),join(a,complement(b)))) != zero
    | ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = join(a,complement(b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(meet(b,meet(complement(a),join(a,complement(b)))),zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),join(a,complement(b))) ),[0,2,0],$fot(zero)]]) ).

cnf(refute_0_2860,plain,
    ( ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(meet(b,meet(complement(a),join(a,complement(b)))),zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != join(a,complement(b))
    | ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = join(a,complement(b)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),join(a,complement(b)))),zero) )],[refute_0_2858,refute_0_2859]) ).

cnf(refute_0_2861,plain,
    ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = join(a,complement(b)),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(meet(b,meet(complement(a),join(a,complement(b)))),zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),join(a,complement(b))) )],[refute_0_1514,refute_0_2860]) ).

cnf(refute_0_2862,plain,
    ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))) = complement(meet(b,complement(a))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(one)),bind(B,$fot(complement(meet(b,complement(a))))),bind(C,$fot(join(a,complement(b))))]]) ).

cnf(refute_0_2863,plain,
    ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))) = complement(meet(b,complement(a))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(zero)),bind(B,$fot(complement(meet(b,complement(a))))),bind(C,$fot(join(a,complement(b))))]]) ).

cnf(refute_0_2864,plain,
    ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),
    introduced(tautology,[refl,[$fot(ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))))]]) ).

cnf(refute_0_2865,plain,
    ( ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b)))
    | ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))) != complement(meet(b,complement(a)))
    | ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b)))) ),[1,2],$fot(complement(meet(b,complement(a))))]]) ).

cnf(refute_0_2866,plain,
    ( ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))) != complement(meet(b,complement(a)))
    | ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))) ),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b)))) )],[refute_0_2864,refute_0_2865]) ).

cnf(refute_0_2867,plain,
    ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),complement(meet(b,complement(a)))) )],[refute_0_2863,refute_0_2866]) ).

cnf(refute_0_2868,plain,
    join(b,complement(b)) = one,
    inference(subst,[],[complement_join:[bind(X,$fot(b))]]) ).

cnf(refute_0_2869,plain,
    join(join(a,join(X_58,b)),Z) = join(a,join(join(X_58,b),Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(a)),bind(Y,$fot(join(X_58,b)))]]) ).

cnf(refute_0_2870,plain,
    ( join(a,join(X_58,b)) != join(b,X_58)
    | join(join(a,join(X_58,b)),Z) != join(a,join(join(X_58,b),Z))
    | join(join(b,X_58),Z) = join(a,join(join(X_58,b),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(a,join(X_58,b)),Z),join(a,join(join(X_58,b),Z))) ),[0,0],$fot(join(b,X_58))]]) ).

cnf(refute_0_2871,plain,
    ( join(join(a,join(X_58,b)),Z) != join(a,join(join(X_58,b),Z))
    | join(join(b,X_58),Z) = join(a,join(join(X_58,b),Z)) ),
    inference(resolve,[$cnf( $equal(join(a,join(X_58,b)),join(b,X_58)) )],[refute_0_2533,refute_0_2870]) ).

cnf(refute_0_2872,plain,
    join(join(b,X_58),Z) = join(a,join(join(X_58,b),Z)),
    inference(resolve,[$cnf( $equal(join(join(a,join(X_58,b)),Z),join(a,join(join(X_58,b),Z))) )],[refute_0_2869,refute_0_2871]) ).

cnf(refute_0_2873,plain,
    join(join(b,X_58),Z) = join(b,join(X_58,Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(b)),bind(Y,$fot(X_58))]]) ).

cnf(refute_0_2874,plain,
    ( join(join(b,X_58),Z) != join(a,join(join(X_58,b),Z))
    | join(join(b,X_58),Z) != join(b,join(X_58,Z))
    | join(b,join(X_58,Z)) = join(a,join(join(X_58,b),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(b,X_58),Z),join(a,join(join(X_58,b),Z))) ),[0],$fot(join(b,join(X_58,Z)))]]) ).

cnf(refute_0_2875,plain,
    ( join(join(b,X_58),Z) != join(a,join(join(X_58,b),Z))
    | join(b,join(X_58,Z)) = join(a,join(join(X_58,b),Z)) ),
    inference(resolve,[$cnf( $equal(join(join(b,X_58),Z),join(b,join(X_58,Z))) )],[refute_0_2873,refute_0_2874]) ).

cnf(refute_0_2876,plain,
    join(join(X_58,b),Z) = join(X_58,join(b,Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_58)),bind(Y,$fot(b))]]) ).

cnf(refute_0_2877,plain,
    join(a,join(join(X_58,b),Z)) = join(a,join(join(X_58,b),Z)),
    introduced(tautology,[refl,[$fot(join(a,join(join(X_58,b),Z)))]]) ).

cnf(refute_0_2878,plain,
    ( join(a,join(join(X_58,b),Z)) != join(a,join(join(X_58,b),Z))
    | join(join(X_58,b),Z) != join(X_58,join(b,Z))
    | join(a,join(join(X_58,b),Z)) = join(a,join(X_58,join(b,Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(a,join(join(X_58,b),Z)),join(a,join(join(X_58,b),Z))) ),[1,1],$fot(join(X_58,join(b,Z)))]]) ).

cnf(refute_0_2879,plain,
    ( join(join(X_58,b),Z) != join(X_58,join(b,Z))
    | join(a,join(join(X_58,b),Z)) = join(a,join(X_58,join(b,Z))) ),
    inference(resolve,[$cnf( $equal(join(a,join(join(X_58,b),Z)),join(a,join(join(X_58,b),Z))) )],[refute_0_2877,refute_0_2878]) ).

cnf(refute_0_2880,plain,
    join(a,join(join(X_58,b),Z)) = join(a,join(X_58,join(b,Z))),
    inference(resolve,[$cnf( $equal(join(join(X_58,b),Z),join(X_58,join(b,Z))) )],[refute_0_2876,refute_0_2879]) ).

cnf(refute_0_2881,plain,
    ( join(a,join(join(X_58,b),Z)) != join(a,join(X_58,join(b,Z)))
    | join(b,join(X_58,Z)) != join(a,join(join(X_58,b),Z))
    | join(b,join(X_58,Z)) = join(a,join(X_58,join(b,Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(b,join(X_58,Z)),join(a,join(join(X_58,b),Z))) ),[1],$fot(join(a,join(X_58,join(b,Z))))]]) ).

cnf(refute_0_2882,plain,
    ( join(b,join(X_58,Z)) != join(a,join(join(X_58,b),Z))
    | join(b,join(X_58,Z)) = join(a,join(X_58,join(b,Z))) ),
    inference(resolve,[$cnf( $equal(join(a,join(join(X_58,b),Z)),join(a,join(X_58,join(b,Z)))) )],[refute_0_2880,refute_0_2881]) ).

cnf(refute_0_2883,plain,
    ( join(join(b,X_58),Z) != join(a,join(join(X_58,b),Z))
    | join(b,join(X_58,Z)) = join(a,join(X_58,join(b,Z))) ),
    inference(resolve,[$cnf( $equal(join(b,join(X_58,Z)),join(a,join(join(X_58,b),Z))) )],[refute_0_2875,refute_0_2882]) ).

cnf(refute_0_2884,plain,
    join(b,join(X_58,Z)) = join(a,join(X_58,join(b,Z))),
    inference(resolve,[$cnf( $equal(join(join(b,X_58),Z),join(a,join(join(X_58,b),Z))) )],[refute_0_2872,refute_0_2883]) ).

cnf(refute_0_2885,plain,
    join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) = join(a,join(X_58,join(b,meet(X_633,meet(X_630,meet(X_631,b)))))),
    inference(subst,[],[refute_0_2884:[bind(Z,$fot(meet(X_633,meet(X_630,meet(X_631,b)))))]]) ).

cnf(refute_0_2886,plain,
    join(b,meet(X_633,meet(X_630,meet(X_631,b)))) = b,
    inference(subst,[],[refute_0_2478:[bind(X,$fot(X_630)),bind(Y,$fot(X_631)),bind(X_83,$fot(b)),bind(X_84,$fot(X_633))]]) ).

cnf(refute_0_2887,plain,
    ( join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) != join(a,join(X_58,join(b,meet(X_633,meet(X_630,meet(X_631,b))))))
    | join(b,meet(X_633,meet(X_630,meet(X_631,b)))) != b
    | join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) = join(a,join(X_58,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))),join(a,join(X_58,join(b,meet(X_633,meet(X_630,meet(X_631,b))))))) ),[1,1,1],$fot(b)]]) ).

cnf(refute_0_2888,plain,
    ( join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) != join(a,join(X_58,join(b,meet(X_633,meet(X_630,meet(X_631,b))))))
    | join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) = join(a,join(X_58,b)) ),
    inference(resolve,[$cnf( $equal(join(b,meet(X_633,meet(X_630,meet(X_631,b)))),b) )],[refute_0_2886,refute_0_2887]) ).

cnf(refute_0_2889,plain,
    join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) = join(a,join(X_58,b)),
    inference(resolve,[$cnf( $equal(join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))),join(a,join(X_58,join(b,meet(X_633,meet(X_630,meet(X_631,b))))))) )],[refute_0_2885,refute_0_2888]) ).

cnf(refute_0_2890,plain,
    ( join(a,join(X_58,b)) != join(b,X_58)
    | join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) != join(a,join(X_58,b))
    | join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) = join(b,X_58) ),
    introduced(tautology,[equality,[$cnf( $equal(join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))),join(a,join(X_58,b))) ),[1],$fot(join(b,X_58))]]) ).

cnf(refute_0_2891,plain,
    ( join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) != join(a,join(X_58,b))
    | join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) = join(b,X_58) ),
    inference(resolve,[$cnf( $equal(join(a,join(X_58,b)),join(b,X_58)) )],[refute_0_2533,refute_0_2890]) ).

cnf(refute_0_2892,plain,
    join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) = join(b,X_58),
    inference(resolve,[$cnf( $equal(join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))),join(a,join(X_58,b))) )],[refute_0_2889,refute_0_2891]) ).

cnf(refute_0_2893,plain,
    join(X_32,join(X_31,meet(X_633,meet(X_630,meet(X_631,X_32))))) = join(X_31,join(X_32,meet(X_633,meet(X_630,meet(X_631,X_32))))),
    inference(subst,[],[refute_0_214:[bind(X_33,$fot(meet(X_633,meet(X_630,meet(X_631,X_32)))))]]) ).

cnf(refute_0_2894,plain,
    join(X_32,meet(X_633,meet(X_630,meet(X_631,X_32)))) = X_32,
    inference(subst,[],[refute_0_2478:[bind(X,$fot(X_630)),bind(Y,$fot(X_631)),bind(X_83,$fot(X_32)),bind(X_84,$fot(X_633))]]) ).

cnf(refute_0_2895,plain,
    ( join(X_32,join(X_31,meet(X_633,meet(X_630,meet(X_631,X_32))))) != join(X_31,join(X_32,meet(X_633,meet(X_630,meet(X_631,X_32)))))
    | join(X_32,meet(X_633,meet(X_630,meet(X_631,X_32)))) != X_32
    | join(X_32,join(X_31,meet(X_633,meet(X_630,meet(X_631,X_32))))) = join(X_31,X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,join(X_31,meet(X_633,meet(X_630,meet(X_631,X_32))))),join(X_31,join(X_32,meet(X_633,meet(X_630,meet(X_631,X_32)))))) ),[1,1],$fot(X_32)]]) ).

cnf(refute_0_2896,plain,
    ( join(X_32,join(X_31,meet(X_633,meet(X_630,meet(X_631,X_32))))) != join(X_31,join(X_32,meet(X_633,meet(X_630,meet(X_631,X_32)))))
    | join(X_32,join(X_31,meet(X_633,meet(X_630,meet(X_631,X_32))))) = join(X_31,X_32) ),
    inference(resolve,[$cnf( $equal(join(X_32,meet(X_633,meet(X_630,meet(X_631,X_32)))),X_32) )],[refute_0_2894,refute_0_2895]) ).

cnf(refute_0_2897,plain,
    join(X_32,join(X_31,meet(X_633,meet(X_630,meet(X_631,X_32))))) = join(X_31,X_32),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_31,meet(X_633,meet(X_630,meet(X_631,X_32))))),join(X_31,join(X_32,meet(X_633,meet(X_630,meet(X_631,X_32)))))) )],[refute_0_2893,refute_0_2896]) ).

cnf(refute_0_2898,plain,
    join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) = join(X_58,b),
    inference(subst,[],[refute_0_2897:[bind(X_31,$fot(X_58)),bind(X_32,$fot(b))]]) ).

cnf(refute_0_2899,plain,
    ( join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) != join(X_58,b)
    | join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) != join(b,X_58)
    | join(X_58,b) = join(b,X_58) ),
    introduced(tautology,[equality,[$cnf( $equal(join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))),join(b,X_58)) ),[0],$fot(join(X_58,b))]]) ).

cnf(refute_0_2900,plain,
    ( join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))) != join(b,X_58)
    | join(X_58,b) = join(b,X_58) ),
    inference(resolve,[$cnf( $equal(join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))),join(X_58,b)) )],[refute_0_2898,refute_0_2899]) ).

cnf(refute_0_2901,plain,
    join(X_58,b) = join(b,X_58),
    inference(resolve,[$cnf( $equal(join(b,join(X_58,meet(X_633,meet(X_630,meet(X_631,b))))),join(b,X_58)) )],[refute_0_2892,refute_0_2900]) ).

cnf(refute_0_2902,plain,
    join(complement(b),b) = join(b,complement(b)),
    inference(subst,[],[refute_0_2901:[bind(X_58,$fot(complement(b)))]]) ).

cnf(refute_0_2903,plain,
    ( join(b,complement(b)) != one
    | join(complement(b),b) != join(b,complement(b))
    | join(complement(b),b) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(complement(b),b))),bind(Y0,$fot(join(b,complement(b)))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_2904,plain,
    ( join(b,complement(b)) != one
    | join(complement(b),b) = one ),
    inference(resolve,[$cnf( $equal(join(complement(b),b),join(b,complement(b))) )],[refute_0_2902,refute_0_2903]) ).

cnf(refute_0_2905,plain,
    join(complement(b),b) = one,
    inference(resolve,[$cnf( $equal(join(b,complement(b)),one) )],[refute_0_2868,refute_0_2904]) ).

cnf(refute_0_2906,plain,
    join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(X_31,join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a)))))),
    inference(subst,[],[refute_0_214:[bind(X_32,$fot(meet(b,complement(a)))),bind(X_33,$fot(meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_2907,plain,
    ( join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) != join(X_31,join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))))
    | join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))) != b
    | join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(X_31,b) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))),join(X_31,join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_2908,plain,
    ( join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) != join(X_31,join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))))
    | join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(X_31,b) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))),b) )],[refute_0_1305,refute_0_2907]) ).

cnf(refute_0_2909,plain,
    join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(X_31,b),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))),join(X_31,join(meet(b,complement(a)),meet(b,complement(meet(b,complement(a))))))) )],[refute_0_2906,refute_0_2908]) ).

cnf(refute_0_2910,plain,
    join(meet(b,complement(a)),join(X_31,a)) = join(a,join(X_31,meet(b,complement(a)))),
    inference(subst,[],[refute_0_307:[bind(Y,$fot(a)),bind(X_154,$fot(meet(b,complement(a)))),bind(X_155,$fot(X_31))]]) ).

cnf(refute_0_2911,plain,
    join(X_31,meet(b,complement(meet(b,complement(a))))) = join(X_31,meet(b,complement(meet(b,complement(a))))),
    introduced(tautology,[refl,[$fot(join(X_31,meet(b,complement(meet(b,complement(a))))))]]) ).

cnf(refute_0_2912,plain,
    ( join(X_31,meet(b,complement(meet(b,complement(a))))) != join(X_31,meet(b,complement(meet(b,complement(a)))))
    | meet(b,complement(meet(b,complement(a)))) != a
    | join(X_31,meet(b,complement(meet(b,complement(a))))) = join(X_31,a) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_31,meet(b,complement(meet(b,complement(a))))),join(X_31,meet(b,complement(meet(b,complement(a)))))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_2913,plain,
    ( meet(b,complement(meet(b,complement(a)))) != a
    | join(X_31,meet(b,complement(meet(b,complement(a))))) = join(X_31,a) ),
    inference(resolve,[$cnf( $equal(join(X_31,meet(b,complement(meet(b,complement(a))))),join(X_31,meet(b,complement(meet(b,complement(a)))))) )],[refute_0_2911,refute_0_2912]) ).

cnf(refute_0_2914,plain,
    join(X_31,meet(b,complement(meet(b,complement(a))))) = join(X_31,a),
    inference(resolve,[$cnf( $equal(meet(b,complement(meet(b,complement(a)))),a) )],[refute_0_1506,refute_0_2913]) ).

cnf(refute_0_2915,plain,
    join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))),
    introduced(tautology,[refl,[$fot(join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))))]]) ).

cnf(refute_0_2916,plain,
    ( join(X_31,meet(b,complement(meet(b,complement(a))))) != join(X_31,a)
    | join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) != join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a))))))
    | join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(meet(b,complement(a)),join(X_31,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))),join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a))))))) ),[1,1],$fot(join(X_31,a))]]) ).

cnf(refute_0_2917,plain,
    ( join(X_31,meet(b,complement(meet(b,complement(a))))) != join(X_31,a)
    | join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(meet(b,complement(a)),join(X_31,a)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))),join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a))))))) )],[refute_0_2915,refute_0_2916]) ).

cnf(refute_0_2918,plain,
    join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(meet(b,complement(a)),join(X_31,a)),
    inference(resolve,[$cnf( $equal(join(X_31,meet(b,complement(meet(b,complement(a))))),join(X_31,a)) )],[refute_0_2914,refute_0_2917]) ).

cnf(refute_0_2919,plain,
    ( join(meet(b,complement(a)),join(X_31,a)) != join(a,join(X_31,meet(b,complement(a))))
    | join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) != join(meet(b,complement(a)),join(X_31,a))
    | join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(a,join(X_31,meet(b,complement(a)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))))),bind(Y0,$fot(join(meet(b,complement(a)),join(X_31,a)))),bind(Z0,$fot(join(a,join(X_31,meet(b,complement(a))))))]]) ).

cnf(refute_0_2920,plain,
    ( join(meet(b,complement(a)),join(X_31,a)) != join(a,join(X_31,meet(b,complement(a))))
    | join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(a,join(X_31,meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))),join(meet(b,complement(a)),join(X_31,a))) )],[refute_0_2918,refute_0_2919]) ).

cnf(refute_0_2921,plain,
    join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) = join(a,join(X_31,meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(X_31,a)),join(a,join(X_31,meet(b,complement(a))))) )],[refute_0_2910,refute_0_2920]) ).

cnf(refute_0_2922,plain,
    ( join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) != join(X_31,b)
    | join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) != join(a,join(X_31,meet(b,complement(a))))
    | join(a,join(X_31,meet(b,complement(a)))) = join(X_31,b) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))),join(X_31,b)) ),[0],$fot(join(a,join(X_31,meet(b,complement(a)))))]]) ).

cnf(refute_0_2923,plain,
    ( join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))) != join(X_31,b)
    | join(a,join(X_31,meet(b,complement(a)))) = join(X_31,b) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))),join(a,join(X_31,meet(b,complement(a))))) )],[refute_0_2921,refute_0_2922]) ).

cnf(refute_0_2924,plain,
    join(a,join(X_31,meet(b,complement(a)))) = join(X_31,b),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(X_31,meet(b,complement(meet(b,complement(a)))))),join(X_31,b)) )],[refute_0_2909,refute_0_2923]) ).

cnf(refute_0_2925,plain,
    join(a,join(complement(b),meet(b,complement(a)))) = join(complement(b),b),
    inference(subst,[],[refute_0_2924:[bind(X_31,$fot(complement(b)))]]) ).

cnf(refute_0_2926,plain,
    ( join(a,join(complement(b),meet(b,complement(a)))) != join(complement(b),b)
    | join(complement(b),b) != one
    | join(a,join(complement(b),meet(b,complement(a)))) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(a,join(complement(b),meet(b,complement(a)))))),bind(Y0,$fot(join(complement(b),b))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_2927,plain,
    ( join(complement(b),b) != one
    | join(a,join(complement(b),meet(b,complement(a)))) = one ),
    inference(resolve,[$cnf( $equal(join(a,join(complement(b),meet(b,complement(a)))),join(complement(b),b)) )],[refute_0_2925,refute_0_2926]) ).

cnf(refute_0_2928,plain,
    join(a,join(complement(b),meet(b,complement(a)))) = one,
    inference(resolve,[$cnf( $equal(join(complement(b),b),one) )],[refute_0_2905,refute_0_2927]) ).

cnf(refute_0_2929,plain,
    join(meet(b,X_751),join(X_31,X_32)) = join(X_31,join(X_32,meet(b,X_751))),
    inference(subst,[],[refute_0_167:[bind(X,$fot(meet(b,X_751)))]]) ).

cnf(refute_0_2930,plain,
    join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) = join(meet(a,X_685),join(meet(X_685,b),X_41)),
    inference(subst,[],[refute_0_223:[bind(X,$fot(meet(a,X_685))),bind(Y,$fot(meet(X_685,b)))]]) ).

cnf(refute_0_2931,plain,
    join(X_41,meet(X_685,b)) = join(meet(a,X_685),join(meet(X_685,b),X_41)),
    inference(subst,[],[refute_0_460:[bind(X_279,$fot(X_41)),bind(X_59,$fot(X_685))]]) ).

cnf(refute_0_2932,plain,
    ( join(X_41,meet(X_685,b)) != join(meet(a,X_685),join(meet(X_685,b),X_41))
    | join(meet(a,X_685),join(meet(X_685,b),X_41)) = join(X_41,meet(X_685,b)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_41,meet(X_685,b)))),bind(Y0,$fot(join(meet(a,X_685),join(meet(X_685,b),X_41))))]]) ).

cnf(refute_0_2933,plain,
    join(meet(a,X_685),join(meet(X_685,b),X_41)) = join(X_41,meet(X_685,b)),
    inference(resolve,[$cnf( $equal(join(X_41,meet(X_685,b)),join(meet(a,X_685),join(meet(X_685,b),X_41))) )],[refute_0_2931,refute_0_2932]) ).

cnf(refute_0_2934,plain,
    ( join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) != join(meet(a,X_685),join(meet(X_685,b),X_41))
    | join(meet(a,X_685),join(meet(X_685,b),X_41)) != join(X_41,meet(X_685,b))
    | join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) = join(X_41,meet(X_685,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))),join(X_41,meet(X_685,b))) ),[0],$fot(join(meet(a,X_685),join(meet(X_685,b),X_41)))]]) ).

cnf(refute_0_2935,plain,
    ( join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) != join(meet(a,X_685),join(meet(X_685,b),X_41))
    | join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) = join(X_41,meet(X_685,b)) ),
    inference(resolve,[$cnf( $equal(join(meet(a,X_685),join(meet(X_685,b),X_41)),join(X_41,meet(X_685,b))) )],[refute_0_2933,refute_0_2934]) ).

cnf(refute_0_2936,plain,
    join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) = join(X_41,meet(X_685,b)),
    inference(resolve,[$cnf( $equal(join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))),join(meet(a,X_685),join(meet(X_685,b),X_41))) )],[refute_0_2930,refute_0_2935]) ).

cnf(refute_0_2937,plain,
    join(meet(b,X_685),join(meet(X_685,b),X_41)) = join(meet(b,X_685),X_41),
    inference(subst,[],[refute_0_899:[bind(Z,$fot(X_41)),bind(X_54,$fot(b)),bind(X_55,$fot(X_685))]]) ).

cnf(refute_0_2938,plain,
    join(meet(b,X_456),join(Y,meet(b,X_456))) = join(meet(b,X_456),Y),
    inference(subst,[],[refute_0_11:[bind(X_28,$fot(meet(b,X_456)))]]) ).

cnf(refute_0_2939,plain,
    join(Y,meet(b,X_456)) = join(Y,meet(X_456,b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(Y)),bind(X_331,$fot(X_456))]]) ).

cnf(refute_0_2940,plain,
    ( join(Y,meet(b,X_456)) != join(Y,meet(X_456,b))
    | join(meet(b,X_456),join(Y,meet(b,X_456))) != join(meet(b,X_456),Y)
    | join(meet(b,X_456),join(Y,meet(X_456,b))) = join(meet(b,X_456),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_456),join(Y,meet(b,X_456))),join(meet(b,X_456),Y)) ),[0,1],$fot(join(Y,meet(X_456,b)))]]) ).

cnf(refute_0_2941,plain,
    ( join(meet(b,X_456),join(Y,meet(b,X_456))) != join(meet(b,X_456),Y)
    | join(meet(b,X_456),join(Y,meet(X_456,b))) = join(meet(b,X_456),Y) ),
    inference(resolve,[$cnf( $equal(join(Y,meet(b,X_456)),join(Y,meet(X_456,b))) )],[refute_0_2939,refute_0_2940]) ).

cnf(refute_0_2942,plain,
    join(meet(b,X_456),join(Y,meet(X_456,b))) = join(meet(b,X_456),Y),
    inference(resolve,[$cnf( $equal(join(meet(b,X_456),join(Y,meet(b,X_456))),join(meet(b,X_456),Y)) )],[refute_0_2938,refute_0_2941]) ).

cnf(refute_0_2943,plain,
    join(meet(b,X_456),join(Y,meet(X_456,b))) = join(Y,meet(X_456,b)),
    inference(subst,[],[refute_0_1024:[bind(X_15,$fot(X_456)),bind(X_28,$fot(b)),bind(X_65,$fot(Y))]]) ).

cnf(refute_0_2944,plain,
    ( join(meet(b,X_456),join(Y,meet(X_456,b))) != join(Y,meet(X_456,b))
    | join(meet(b,X_456),join(Y,meet(X_456,b))) != join(meet(b,X_456),Y)
    | join(Y,meet(X_456,b)) = join(meet(b,X_456),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_456),join(Y,meet(X_456,b))),join(meet(b,X_456),Y)) ),[0],$fot(join(Y,meet(X_456,b)))]]) ).

cnf(refute_0_2945,plain,
    ( join(meet(b,X_456),join(Y,meet(X_456,b))) != join(meet(b,X_456),Y)
    | join(Y,meet(X_456,b)) = join(meet(b,X_456),Y) ),
    inference(resolve,[$cnf( $equal(join(meet(b,X_456),join(Y,meet(X_456,b))),join(Y,meet(X_456,b))) )],[refute_0_2943,refute_0_2944]) ).

cnf(refute_0_2946,plain,
    join(Y,meet(X_456,b)) = join(meet(b,X_456),Y),
    inference(resolve,[$cnf( $equal(join(meet(b,X_456),join(Y,meet(X_456,b))),join(meet(b,X_456),Y)) )],[refute_0_2942,refute_0_2945]) ).

cnf(refute_0_2947,plain,
    join(join(meet(X_685,b),X_41),meet(X_685,b)) = join(meet(b,X_685),join(meet(X_685,b),X_41)),
    inference(subst,[],[refute_0_2946:[bind(Y,$fot(join(meet(X_685,b),X_41))),bind(X_456,$fot(X_685))]]) ).

cnf(refute_0_2948,plain,
    ( join(join(meet(X_685,b),X_41),meet(X_685,b)) != join(meet(b,X_685),join(meet(X_685,b),X_41))
    | join(meet(b,X_685),join(meet(X_685,b),X_41)) != join(meet(b,X_685),X_41)
    | join(join(meet(X_685,b),X_41),meet(X_685,b)) = join(meet(b,X_685),X_41) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(join(meet(X_685,b),X_41),meet(X_685,b)))),bind(Y0,$fot(join(meet(b,X_685),join(meet(X_685,b),X_41)))),bind(Z0,$fot(join(meet(b,X_685),X_41)))]]) ).

cnf(refute_0_2949,plain,
    ( join(meet(b,X_685),join(meet(X_685,b),X_41)) != join(meet(b,X_685),X_41)
    | join(join(meet(X_685,b),X_41),meet(X_685,b)) = join(meet(b,X_685),X_41) ),
    inference(resolve,[$cnf( $equal(join(join(meet(X_685,b),X_41),meet(X_685,b)),join(meet(b,X_685),join(meet(X_685,b),X_41))) )],[refute_0_2947,refute_0_2948]) ).

cnf(refute_0_2950,plain,
    join(join(meet(X_685,b),X_41),meet(X_685,b)) = join(meet(b,X_685),X_41),
    inference(resolve,[$cnf( $equal(join(meet(b,X_685),join(meet(X_685,b),X_41)),join(meet(b,X_685),X_41)) )],[refute_0_2937,refute_0_2949]) ).

cnf(refute_0_2951,plain,
    join(X,join(meet(X_100,b),meet(a,X_100))) = join(meet(X_100,b),join(meet(a,X_100),X)),
    inference(subst,[],[refute_0_167:[bind(X_31,$fot(meet(X_100,b))),bind(X_32,$fot(meet(a,X_100)))]]) ).

cnf(refute_0_2952,plain,
    ( join(X,join(meet(X_100,b),meet(a,X_100))) != join(meet(X_100,b),join(meet(a,X_100),X))
    | join(meet(X_100,b),meet(a,X_100)) != meet(X_100,b)
    | join(X,meet(X_100,b)) = join(meet(X_100,b),join(meet(a,X_100),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(meet(X_100,b),meet(a,X_100))),join(meet(X_100,b),join(meet(a,X_100),X))) ),[0,1],$fot(meet(X_100,b))]]) ).

cnf(refute_0_2953,plain,
    ( join(X,join(meet(X_100,b),meet(a,X_100))) != join(meet(X_100,b),join(meet(a,X_100),X))
    | join(X,meet(X_100,b)) = join(meet(X_100,b),join(meet(a,X_100),X)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_100,b),meet(a,X_100)),meet(X_100,b)) )],[refute_0_541,refute_0_2952]) ).

cnf(refute_0_2954,plain,
    join(X,meet(X_100,b)) = join(meet(X_100,b),join(meet(a,X_100),X)),
    inference(resolve,[$cnf( $equal(join(X,join(meet(X_100,b),meet(a,X_100))),join(meet(X_100,b),join(meet(a,X_100),X))) )],[refute_0_2951,refute_0_2953]) ).

cnf(refute_0_2955,plain,
    ( join(X,meet(X_100,b)) != join(meet(X_100,b),join(meet(a,X_100),X))
    | join(meet(X_100,b),join(meet(a,X_100),X)) = join(X,meet(X_100,b)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X,meet(X_100,b)))),bind(Y0,$fot(join(meet(X_100,b),join(meet(a,X_100),X))))]]) ).

cnf(refute_0_2956,plain,
    join(meet(X_100,b),join(meet(a,X_100),X)) = join(X,meet(X_100,b)),
    inference(resolve,[$cnf( $equal(join(X,meet(X_100,b)),join(meet(X_100,b),join(meet(a,X_100),X))) )],[refute_0_2954,refute_0_2955]) ).

cnf(refute_0_2957,plain,
    join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) = join(join(meet(X_685,b),X_41),meet(X_685,b)),
    inference(subst,[],[refute_0_2956:[bind(X,$fot(join(meet(X_685,b),X_41))),bind(X_100,$fot(X_685))]]) ).

cnf(refute_0_2958,plain,
    ( join(join(meet(X_685,b),X_41),meet(X_685,b)) != join(meet(b,X_685),X_41)
    | join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) != join(join(meet(X_685,b),X_41),meet(X_685,b))
    | join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) = join(meet(b,X_685),X_41) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))))),bind(Y0,$fot(join(join(meet(X_685,b),X_41),meet(X_685,b)))),bind(Z0,$fot(join(meet(b,X_685),X_41)))]]) ).

cnf(refute_0_2959,plain,
    ( join(join(meet(X_685,b),X_41),meet(X_685,b)) != join(meet(b,X_685),X_41)
    | join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) = join(meet(b,X_685),X_41) ),
    inference(resolve,[$cnf( $equal(join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))),join(join(meet(X_685,b),X_41),meet(X_685,b))) )],[refute_0_2957,refute_0_2958]) ).

cnf(refute_0_2960,plain,
    join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) = join(meet(b,X_685),X_41),
    inference(resolve,[$cnf( $equal(join(join(meet(X_685,b),X_41),meet(X_685,b)),join(meet(b,X_685),X_41)) )],[refute_0_2950,refute_0_2959]) ).

cnf(refute_0_2961,plain,
    ( join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) != join(X_41,meet(X_685,b))
    | join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) != join(meet(b,X_685),X_41)
    | join(meet(b,X_685),X_41) = join(X_41,meet(X_685,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))),join(X_41,meet(X_685,b))) ),[0],$fot(join(meet(b,X_685),X_41))]]) ).

cnf(refute_0_2962,plain,
    ( join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))) != join(X_41,meet(X_685,b))
    | join(meet(b,X_685),X_41) = join(X_41,meet(X_685,b)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))),join(meet(b,X_685),X_41)) )],[refute_0_2960,refute_0_2961]) ).

cnf(refute_0_2963,plain,
    join(meet(b,X_685),X_41) = join(X_41,meet(X_685,b)),
    inference(resolve,[$cnf( $equal(join(meet(X_685,b),join(meet(a,X_685),join(meet(X_685,b),X_41))),join(X_41,meet(X_685,b))) )],[refute_0_2936,refute_0_2962]) ).

cnf(refute_0_2964,plain,
    join(meet(b,X_751),join(X_31,X_32)) = join(join(X_31,X_32),meet(X_751,b)),
    inference(subst,[],[refute_0_2963:[bind(X_41,$fot(join(X_31,X_32))),bind(X_685,$fot(X_751))]]) ).

cnf(refute_0_2965,plain,
    ( join(meet(b,X_751),join(X_31,X_32)) != join(X_31,join(X_32,meet(b,X_751)))
    | join(meet(b,X_751),join(X_31,X_32)) != join(join(X_31,X_32),meet(X_751,b))
    | join(join(X_31,X_32),meet(X_751,b)) = join(X_31,join(X_32,meet(b,X_751))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_751),join(X_31,X_32)),join(X_31,join(X_32,meet(b,X_751)))) ),[0],$fot(join(join(X_31,X_32),meet(X_751,b)))]]) ).

cnf(refute_0_2966,plain,
    ( join(meet(b,X_751),join(X_31,X_32)) != join(X_31,join(X_32,meet(b,X_751)))
    | join(join(X_31,X_32),meet(X_751,b)) = join(X_31,join(X_32,meet(b,X_751))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,X_751),join(X_31,X_32)),join(join(X_31,X_32),meet(X_751,b))) )],[refute_0_2964,refute_0_2965]) ).

cnf(refute_0_2967,plain,
    join(join(X_31,X_32),meet(X_751,b)) = join(X_31,join(X_32,meet(b,X_751))),
    inference(resolve,[$cnf( $equal(join(meet(b,X_751),join(X_31,X_32)),join(X_31,join(X_32,meet(b,X_751)))) )],[refute_0_2929,refute_0_2966]) ).

cnf(refute_0_2968,plain,
    join(join(X_31,X_32),meet(X_751,b)) = join(X_31,join(X_32,meet(X_751,b))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_31)),bind(Y,$fot(X_32)),bind(Z,$fot(meet(X_751,b)))]]) ).

cnf(refute_0_2969,plain,
    ( join(join(X_31,X_32),meet(X_751,b)) != join(X_31,join(X_32,meet(X_751,b)))
    | join(join(X_31,X_32),meet(X_751,b)) != join(X_31,join(X_32,meet(b,X_751)))
    | join(X_31,join(X_32,meet(X_751,b))) = join(X_31,join(X_32,meet(b,X_751))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_31,X_32),meet(X_751,b)),join(X_31,join(X_32,meet(b,X_751)))) ),[0],$fot(join(X_31,join(X_32,meet(X_751,b))))]]) ).

cnf(refute_0_2970,plain,
    ( join(join(X_31,X_32),meet(X_751,b)) != join(X_31,join(X_32,meet(b,X_751)))
    | join(X_31,join(X_32,meet(X_751,b))) = join(X_31,join(X_32,meet(b,X_751))) ),
    inference(resolve,[$cnf( $equal(join(join(X_31,X_32),meet(X_751,b)),join(X_31,join(X_32,meet(X_751,b)))) )],[refute_0_2968,refute_0_2969]) ).

cnf(refute_0_2971,plain,
    join(X_31,join(X_32,meet(X_751,b))) = join(X_31,join(X_32,meet(b,X_751))),
    inference(resolve,[$cnf( $equal(join(join(X_31,X_32),meet(X_751,b)),join(X_31,join(X_32,meet(b,X_751)))) )],[refute_0_2967,refute_0_2970]) ).

cnf(refute_0_2972,plain,
    join(a,join(complement(b),meet(complement(a),b))) = join(a,join(complement(b),meet(b,complement(a)))),
    inference(subst,[],[refute_0_2971:[bind(X_31,$fot(a)),bind(X_32,$fot(complement(b))),bind(X_751,$fot(complement(a)))]]) ).

cnf(refute_0_2973,plain,
    ( join(a,join(complement(b),meet(b,complement(a)))) != one
    | join(a,join(complement(b),meet(complement(a),b))) != join(a,join(complement(b),meet(b,complement(a))))
    | join(a,join(complement(b),meet(complement(a),b))) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(a,join(complement(b),meet(complement(a),b))))),bind(Y0,$fot(join(a,join(complement(b),meet(b,complement(a)))))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_2974,plain,
    ( join(a,join(complement(b),meet(b,complement(a)))) != one
    | join(a,join(complement(b),meet(complement(a),b))) = one ),
    inference(resolve,[$cnf( $equal(join(a,join(complement(b),meet(complement(a),b))),join(a,join(complement(b),meet(b,complement(a))))) )],[refute_0_2972,refute_0_2973]) ).

cnf(refute_0_2975,plain,
    join(a,join(complement(b),meet(complement(a),b))) = one,
    inference(resolve,[$cnf( $equal(join(a,join(complement(b),meet(b,complement(a)))),one) )],[refute_0_2928,refute_0_2974]) ).

cnf(refute_0_2976,plain,
    join(X_32,join(meet(b,X_751),X_33)) = join(meet(b,X_751),join(X_32,X_33)),
    inference(subst,[],[refute_0_214:[bind(X_31,$fot(meet(b,X_751)))]]) ).

cnf(refute_0_2977,plain,
    join(meet(b,X_751),join(X_32,X_33)) = join(join(X_32,X_33),meet(X_751,b)),
    inference(subst,[],[refute_0_2963:[bind(X_41,$fot(join(X_32,X_33))),bind(X_685,$fot(X_751))]]) ).

cnf(refute_0_2978,plain,
    ( join(X_32,join(meet(b,X_751),X_33)) != join(meet(b,X_751),join(X_32,X_33))
    | join(meet(b,X_751),join(X_32,X_33)) != join(join(X_32,X_33),meet(X_751,b))
    | join(X_32,join(meet(b,X_751),X_33)) = join(join(X_32,X_33),meet(X_751,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_32,join(meet(b,X_751),X_33)),join(join(X_32,X_33),meet(X_751,b))) ),[0],$fot(join(meet(b,X_751),join(X_32,X_33)))]]) ).

cnf(refute_0_2979,plain,
    ( join(X_32,join(meet(b,X_751),X_33)) != join(meet(b,X_751),join(X_32,X_33))
    | join(X_32,join(meet(b,X_751),X_33)) = join(join(X_32,X_33),meet(X_751,b)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,X_751),join(X_32,X_33)),join(join(X_32,X_33),meet(X_751,b))) )],[refute_0_2977,refute_0_2978]) ).

cnf(refute_0_2980,plain,
    join(X_32,join(meet(b,X_751),X_33)) = join(join(X_32,X_33),meet(X_751,b)),
    inference(resolve,[$cnf( $equal(join(X_32,join(meet(b,X_751),X_33)),join(meet(b,X_751),join(X_32,X_33))) )],[refute_0_2976,refute_0_2979]) ).

cnf(refute_0_2981,plain,
    join(join(X_32,X_33),meet(X_751,b)) = join(X_32,join(X_33,meet(X_751,b))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_32)),bind(Y,$fot(X_33)),bind(Z,$fot(meet(X_751,b)))]]) ).

cnf(refute_0_2982,plain,
    ( join(X_32,join(meet(b,X_751),X_33)) != join(join(X_32,X_33),meet(X_751,b))
    | join(join(X_32,X_33),meet(X_751,b)) != join(X_32,join(X_33,meet(X_751,b)))
    | join(X_32,join(meet(b,X_751),X_33)) = join(X_32,join(X_33,meet(X_751,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_32,join(meet(b,X_751),X_33)),join(X_32,join(X_33,meet(X_751,b)))) ),[0],$fot(join(join(X_32,X_33),meet(X_751,b)))]]) ).

cnf(refute_0_2983,plain,
    ( join(X_32,join(meet(b,X_751),X_33)) != join(join(X_32,X_33),meet(X_751,b))
    | join(X_32,join(meet(b,X_751),X_33)) = join(X_32,join(X_33,meet(X_751,b))) ),
    inference(resolve,[$cnf( $equal(join(join(X_32,X_33),meet(X_751,b)),join(X_32,join(X_33,meet(X_751,b)))) )],[refute_0_2981,refute_0_2982]) ).

cnf(refute_0_2984,plain,
    join(X_32,join(meet(b,X_751),X_33)) = join(X_32,join(X_33,meet(X_751,b))),
    inference(resolve,[$cnf( $equal(join(X_32,join(meet(b,X_751),X_33)),join(join(X_32,X_33),meet(X_751,b))) )],[refute_0_2980,refute_0_2983]) ).

cnf(refute_0_2985,plain,
    join(a,join(meet(b,complement(a)),complement(b))) = join(a,join(complement(b),meet(complement(a),b))),
    inference(subst,[],[refute_0_2984:[bind(X_32,$fot(a)),bind(X_33,$fot(complement(b))),bind(X_751,$fot(complement(a)))]]) ).

cnf(refute_0_2986,plain,
    ( join(a,join(complement(b),meet(complement(a),b))) != one
    | join(a,join(meet(b,complement(a)),complement(b))) != join(a,join(complement(b),meet(complement(a),b)))
    | join(a,join(meet(b,complement(a)),complement(b))) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(a,join(meet(b,complement(a)),complement(b))))),bind(Y0,$fot(join(a,join(complement(b),meet(complement(a),b))))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_2987,plain,
    ( join(a,join(complement(b),meet(complement(a),b))) != one
    | join(a,join(meet(b,complement(a)),complement(b))) = one ),
    inference(resolve,[$cnf( $equal(join(a,join(meet(b,complement(a)),complement(b))),join(a,join(complement(b),meet(complement(a),b)))) )],[refute_0_2985,refute_0_2986]) ).

cnf(refute_0_2988,plain,
    join(a,join(meet(b,complement(a)),complement(b))) = one,
    inference(resolve,[$cnf( $equal(join(a,join(complement(b),meet(complement(a),b))),one) )],[refute_0_2975,refute_0_2987]) ).

cnf(refute_0_2989,plain,
    join(X_32,join(meet(X_751,b),X_33)) = join(X_32,join(X_33,meet(X_751,b))),
    inference(subst,[],[refute_0_286:[bind(X_103,$fot(meet(X_751,b)))]]) ).

cnf(refute_0_2990,plain,
    join(meet(b,X_751),X_33) = join(X_33,meet(X_751,b)),
    inference(subst,[],[refute_0_2963:[bind(X_41,$fot(X_33)),bind(X_685,$fot(X_751))]]) ).

cnf(refute_0_2991,plain,
    ( join(meet(b,X_751),X_33) != join(X_33,meet(X_751,b))
    | join(X_33,meet(X_751,b)) = join(meet(b,X_751),X_33) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(b,X_751),X_33))),bind(Y0,$fot(join(X_33,meet(X_751,b))))]]) ).

cnf(refute_0_2992,plain,
    join(X_33,meet(X_751,b)) = join(meet(b,X_751),X_33),
    inference(resolve,[$cnf( $equal(join(meet(b,X_751),X_33),join(X_33,meet(X_751,b))) )],[refute_0_2990,refute_0_2991]) ).

cnf(refute_0_2993,plain,
    ( join(X_32,join(meet(X_751,b),X_33)) != join(X_32,join(X_33,meet(X_751,b)))
    | join(X_33,meet(X_751,b)) != join(meet(b,X_751),X_33)
    | join(X_32,join(meet(X_751,b),X_33)) = join(X_32,join(meet(b,X_751),X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,join(meet(X_751,b),X_33)),join(X_32,join(X_33,meet(X_751,b)))) ),[1,1],$fot(join(meet(b,X_751),X_33))]]) ).

cnf(refute_0_2994,plain,
    ( join(X_32,join(meet(X_751,b),X_33)) != join(X_32,join(X_33,meet(X_751,b)))
    | join(X_32,join(meet(X_751,b),X_33)) = join(X_32,join(meet(b,X_751),X_33)) ),
    inference(resolve,[$cnf( $equal(join(X_33,meet(X_751,b)),join(meet(b,X_751),X_33)) )],[refute_0_2992,refute_0_2993]) ).

cnf(refute_0_2995,plain,
    join(X_32,join(meet(X_751,b),X_33)) = join(X_32,join(meet(b,X_751),X_33)),
    inference(resolve,[$cnf( $equal(join(X_32,join(meet(X_751,b),X_33)),join(X_32,join(X_33,meet(X_751,b)))) )],[refute_0_2989,refute_0_2994]) ).

cnf(refute_0_2996,plain,
    join(a,join(meet(complement(a),b),complement(b))) = join(a,join(meet(b,complement(a)),complement(b))),
    inference(subst,[],[refute_0_2995:[bind(X_32,$fot(a)),bind(X_33,$fot(complement(b))),bind(X_751,$fot(complement(a)))]]) ).

cnf(refute_0_2997,plain,
    ( join(a,join(meet(b,complement(a)),complement(b))) != one
    | join(a,join(meet(complement(a),b),complement(b))) != join(a,join(meet(b,complement(a)),complement(b)))
    | join(a,join(meet(complement(a),b),complement(b))) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(a,join(meet(complement(a),b),complement(b))))),bind(Y0,$fot(join(a,join(meet(b,complement(a)),complement(b))))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_2998,plain,
    ( join(a,join(meet(b,complement(a)),complement(b))) != one
    | join(a,join(meet(complement(a),b),complement(b))) = one ),
    inference(resolve,[$cnf( $equal(join(a,join(meet(complement(a),b),complement(b))),join(a,join(meet(b,complement(a)),complement(b)))) )],[refute_0_2996,refute_0_2997]) ).

cnf(refute_0_2999,plain,
    join(a,join(meet(complement(a),b),complement(b))) = one,
    inference(resolve,[$cnf( $equal(join(a,join(meet(b,complement(a)),complement(b))),one) )],[refute_0_2988,refute_0_2998]) ).

cnf(refute_0_3000,plain,
    join(join(meet(b,X_751),Y),Z) = join(meet(b,X_751),join(Y,Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(b,X_751)))]]) ).

cnf(refute_0_3001,plain,
    join(meet(b,X_751),Y) = join(Y,meet(X_751,b)),
    inference(subst,[],[refute_0_2963:[bind(X_41,$fot(Y)),bind(X_685,$fot(X_751))]]) ).

cnf(refute_0_3002,plain,
    ( join(join(meet(b,X_751),Y),Z) != join(meet(b,X_751),join(Y,Z))
    | join(meet(b,X_751),Y) != join(Y,meet(X_751,b))
    | join(join(Y,meet(X_751,b)),Z) = join(meet(b,X_751),join(Y,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(b,X_751),Y),Z),join(meet(b,X_751),join(Y,Z))) ),[0,0],$fot(join(Y,meet(X_751,b)))]]) ).

cnf(refute_0_3003,plain,
    ( join(join(meet(b,X_751),Y),Z) != join(meet(b,X_751),join(Y,Z))
    | join(join(Y,meet(X_751,b)),Z) = join(meet(b,X_751),join(Y,Z)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,X_751),Y),join(Y,meet(X_751,b))) )],[refute_0_3001,refute_0_3002]) ).

cnf(refute_0_3004,plain,
    join(join(Y,meet(X_751,b)),Z) = join(meet(b,X_751),join(Y,Z)),
    inference(resolve,[$cnf( $equal(join(join(meet(b,X_751),Y),Z),join(meet(b,X_751),join(Y,Z))) )],[refute_0_3000,refute_0_3003]) ).

cnf(refute_0_3005,plain,
    join(join(Y,meet(X_751,b)),Z) = join(Y,join(meet(X_751,b),Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(Y)),bind(Y,$fot(meet(X_751,b)))]]) ).

cnf(refute_0_3006,plain,
    ( join(join(Y,meet(X_751,b)),Z) != join(Y,join(meet(X_751,b),Z))
    | join(join(Y,meet(X_751,b)),Z) != join(meet(b,X_751),join(Y,Z))
    | join(Y,join(meet(X_751,b),Z)) = join(meet(b,X_751),join(Y,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(Y,meet(X_751,b)),Z),join(meet(b,X_751),join(Y,Z))) ),[0],$fot(join(Y,join(meet(X_751,b),Z)))]]) ).

cnf(refute_0_3007,plain,
    ( join(join(Y,meet(X_751,b)),Z) != join(meet(b,X_751),join(Y,Z))
    | join(Y,join(meet(X_751,b),Z)) = join(meet(b,X_751),join(Y,Z)) ),
    inference(resolve,[$cnf( $equal(join(join(Y,meet(X_751,b)),Z),join(Y,join(meet(X_751,b),Z))) )],[refute_0_3005,refute_0_3006]) ).

cnf(refute_0_3008,plain,
    join(Y,join(meet(X_751,b),Z)) = join(meet(b,X_751),join(Y,Z)),
    inference(resolve,[$cnf( $equal(join(join(Y,meet(X_751,b)),Z),join(meet(b,X_751),join(Y,Z))) )],[refute_0_3004,refute_0_3007]) ).

cnf(refute_0_3009,plain,
    ( join(Y,join(meet(X_751,b),Z)) != join(meet(b,X_751),join(Y,Z))
    | join(meet(b,X_751),join(Y,Z)) = join(Y,join(meet(X_751,b),Z)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(Y,join(meet(X_751,b),Z)))),bind(Y0,$fot(join(meet(b,X_751),join(Y,Z))))]]) ).

cnf(refute_0_3010,plain,
    join(meet(b,X_751),join(Y,Z)) = join(Y,join(meet(X_751,b),Z)),
    inference(resolve,[$cnf( $equal(join(Y,join(meet(X_751,b),Z)),join(meet(b,X_751),join(Y,Z))) )],[refute_0_3008,refute_0_3009]) ).

cnf(refute_0_3011,plain,
    join(meet(b,complement(a)),join(a,complement(b))) = join(a,join(meet(complement(a),b),complement(b))),
    inference(subst,[],[refute_0_3010:[bind(Y,$fot(a)),bind(Z,$fot(complement(b))),bind(X_751,$fot(complement(a)))]]) ).

cnf(refute_0_3012,plain,
    ( join(a,join(meet(complement(a),b),complement(b))) != one
    | join(meet(b,complement(a)),join(a,complement(b))) != join(a,join(meet(complement(a),b),complement(b)))
    | join(meet(b,complement(a)),join(a,complement(b))) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,complement(a)),join(a,complement(b))))),bind(Y0,$fot(join(a,join(meet(complement(a),b),complement(b))))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_3013,plain,
    ( join(a,join(meet(complement(a),b),complement(b))) != one
    | join(meet(b,complement(a)),join(a,complement(b))) = one ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(a,complement(b))),join(a,join(meet(complement(a),b),complement(b)))) )],[refute_0_3011,refute_0_3012]) ).

cnf(refute_0_3014,plain,
    join(meet(b,complement(a)),join(a,complement(b))) = one,
    inference(resolve,[$cnf( $equal(join(a,join(meet(complement(a),b),complement(b))),one) )],[refute_0_2999,refute_0_3013]) ).

cnf(refute_0_3015,plain,
    ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),
    introduced(tautology,[refl,[$fot(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))))]]) ).

cnf(refute_0_3016,plain,
    ( ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b)))
    | join(meet(b,complement(a)),join(a,complement(b))) != one
    | ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b)))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_3017,plain,
    ( join(meet(b,complement(a)),join(a,complement(b))) != one
    | ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) ),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b)))) )],[refute_0_3015,refute_0_3016]) ).

cnf(refute_0_3018,plain,
    ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(a,complement(b))),one) )],[refute_0_3014,refute_0_3017]) ).

cnf(refute_0_3019,plain,
    ( ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b)))
    | ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b)))
    | ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))))),bind(Y0,$fot(ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))))),bind(Z0,$fot(ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b)))))]]) ).

cnf(refute_0_3020,plain,
    ( ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b)))
    | ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))) ),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b)))) )],[refute_0_3018,refute_0_3019]) ).

cnf(refute_0_3021,plain,
    ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b)))) )],[refute_0_2867,refute_0_3020]) ).

cnf(refute_0_3022,plain,
    ( ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b)))
    | ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))) != complement(meet(b,complement(a)))
    | ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = complement(meet(b,complement(a))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))))),bind(Y0,$fot(ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))))),bind(Z0,$fot(complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_3023,plain,
    ( ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))) != complement(meet(b,complement(a)))
    | ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = complement(meet(b,complement(a))) ),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b)))) )],[refute_0_3021,refute_0_3022]) ).

cnf(refute_0_3024,plain,
    ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) = complement(meet(b,complement(a))),
    inference(resolve,[$cnf( $equal(ifeq(one,one,complement(meet(b,complement(a))),join(a,complement(b))),complement(meet(b,complement(a)))) )],[refute_0_2862,refute_0_3023]) ).

cnf(refute_0_3025,plain,
    ( ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != complement(meet(b,complement(a)))
    | ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != join(a,complement(b))
    | complement(meet(b,complement(a))) = join(a,complement(b)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),join(a,complement(b))) ),[0],$fot(complement(meet(b,complement(a))))]]) ).

cnf(refute_0_3026,plain,
    ( ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))) != join(a,complement(b))
    | complement(meet(b,complement(a))) = join(a,complement(b)) ),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),complement(meet(b,complement(a)))) )],[refute_0_3024,refute_0_3025]) ).

cnf(refute_0_3027,plain,
    complement(meet(b,complement(a))) = join(a,complement(b)),
    inference(resolve,[$cnf( $equal(ifeq(join(meet(b,complement(a)),join(a,complement(b))),one,ifeq(zero,zero,complement(meet(b,complement(a))),join(a,complement(b))),join(a,complement(b))),join(a,complement(b))) )],[refute_0_2861,refute_0_3026]) ).

cnf(refute_0_3028,plain,
    meet(complement(meet(b,complement(a))),X) = meet(complement(meet(b,complement(a))),X),
    introduced(tautology,[refl,[$fot(meet(complement(meet(b,complement(a))),X))]]) ).

cnf(refute_0_3029,plain,
    ( complement(meet(b,complement(a))) != join(a,complement(b))
    | meet(complement(meet(b,complement(a))),X) != meet(complement(meet(b,complement(a))),X)
    | meet(complement(meet(b,complement(a))),X) = meet(join(a,complement(b)),X) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(b,complement(a))),X),meet(complement(meet(b,complement(a))),X)) ),[1,0],$fot(join(a,complement(b)))]]) ).

cnf(refute_0_3030,plain,
    ( complement(meet(b,complement(a))) != join(a,complement(b))
    | meet(complement(meet(b,complement(a))),X) = meet(join(a,complement(b)),X) ),
    inference(resolve,[$cnf( $equal(meet(complement(meet(b,complement(a))),X),meet(complement(meet(b,complement(a))),X)) )],[refute_0_3028,refute_0_3029]) ).

cnf(refute_0_3031,plain,
    meet(complement(meet(b,complement(a))),X) = meet(join(a,complement(b)),X),
    inference(resolve,[$cnf( $equal(complement(meet(b,complement(a))),join(a,complement(b))) )],[refute_0_3027,refute_0_3030]) ).

cnf(refute_0_3032,plain,
    meet(b,meet(complement(meet(b,complement(a))),X)) = meet(b,meet(complement(meet(b,complement(a))),X)),
    introduced(tautology,[refl,[$fot(meet(b,meet(complement(meet(b,complement(a))),X)))]]) ).

cnf(refute_0_3033,plain,
    ( meet(b,meet(complement(meet(b,complement(a))),X)) != meet(b,meet(complement(meet(b,complement(a))),X))
    | meet(complement(meet(b,complement(a))),X) != meet(join(a,complement(b)),X)
    | meet(b,meet(complement(meet(b,complement(a))),X)) = meet(b,meet(join(a,complement(b)),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(complement(meet(b,complement(a))),X)),meet(b,meet(complement(meet(b,complement(a))),X))) ),[1,1],$fot(meet(join(a,complement(b)),X))]]) ).

cnf(refute_0_3034,plain,
    ( meet(complement(meet(b,complement(a))),X) != meet(join(a,complement(b)),X)
    | meet(b,meet(complement(meet(b,complement(a))),X)) = meet(b,meet(join(a,complement(b)),X)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(meet(b,complement(a))),X)),meet(b,meet(complement(meet(b,complement(a))),X))) )],[refute_0_3032,refute_0_3033]) ).

cnf(refute_0_3035,plain,
    meet(b,meet(complement(meet(b,complement(a))),X)) = meet(b,meet(join(a,complement(b)),X)),
    inference(resolve,[$cnf( $equal(meet(complement(meet(b,complement(a))),X),meet(join(a,complement(b)),X)) )],[refute_0_3031,refute_0_3034]) ).

cnf(refute_0_3036,plain,
    ( meet(X,a) != meet(b,meet(complement(meet(b,complement(a))),X))
    | meet(b,meet(complement(meet(b,complement(a))),X)) != meet(b,meet(join(a,complement(b)),X))
    | meet(X,a) = meet(b,meet(join(a,complement(b)),X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X,a),meet(b,meet(join(a,complement(b)),X))) ),[0],$fot(meet(b,meet(complement(meet(b,complement(a))),X)))]]) ).

cnf(refute_0_3037,plain,
    ( meet(X,a) != meet(b,meet(complement(meet(b,complement(a))),X))
    | meet(X,a) = meet(b,meet(join(a,complement(b)),X)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(meet(b,complement(a))),X)),meet(b,meet(join(a,complement(b)),X))) )],[refute_0_3035,refute_0_3036]) ).

cnf(refute_0_3038,plain,
    meet(X,a) = meet(b,meet(join(a,complement(b)),X)),
    inference(resolve,[$cnf( $equal(meet(X,a),meet(b,meet(complement(meet(b,complement(a))),X))) )],[refute_0_1509,refute_0_3037]) ).

cnf(refute_0_3039,plain,
    ( meet(X,a) != meet(b,meet(join(a,complement(b)),X))
    | meet(b,meet(join(a,complement(b)),X)) = meet(X,a) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,a))),bind(Y0,$fot(meet(b,meet(join(a,complement(b)),X))))]]) ).

cnf(refute_0_3040,plain,
    meet(b,meet(join(a,complement(b)),X)) = meet(X,a),
    inference(resolve,[$cnf( $equal(meet(X,a),meet(b,meet(join(a,complement(b)),X))) )],[refute_0_3038,refute_0_3039]) ).

cnf(refute_0_3041,plain,
    meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))) = meet(join(complement(b),meet(b,complement(a))),a),
    inference(subst,[],[refute_0_3040:[bind(X,$fot(join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3042,plain,
    ( meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))) != meet(join(complement(b),meet(b,complement(a))),a)
    | meet(join(complement(b),meet(b,complement(a))),a) != meet(a,join(complement(b),meet(b,complement(a))))
    | meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))) = meet(a,join(complement(b),meet(b,complement(a)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))))),bind(Y0,$fot(meet(join(complement(b),meet(b,complement(a))),a))),bind(Z0,$fot(meet(a,join(complement(b),meet(b,complement(a))))))]]) ).

cnf(refute_0_3043,plain,
    ( meet(join(complement(b),meet(b,complement(a))),a) != meet(a,join(complement(b),meet(b,complement(a))))
    | meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))) = meet(a,join(complement(b),meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))),meet(join(complement(b),meet(b,complement(a))),a)) )],[refute_0_3041,refute_0_3042]) ).

cnf(refute_0_3044,plain,
    meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))) = meet(a,join(complement(b),meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(meet(join(complement(b),meet(b,complement(a))),a),meet(a,join(complement(b),meet(b,complement(a))))) )],[refute_0_1283,refute_0_3043]) ).

cnf(refute_0_3045,plain,
    join(zero,meet(b,complement(a))) = meet(b,complement(a)),
    inference(subst,[],[refute_0_1415:[bind(Y,$fot(meet(b,complement(a))))]]) ).

cnf(refute_0_3046,plain,
    complement(join(zero,meet(b,complement(a)))) = complement(join(zero,meet(b,complement(a)))),
    introduced(tautology,[refl,[$fot(complement(join(zero,meet(b,complement(a)))))]]) ).

cnf(refute_0_3047,plain,
    ( complement(join(zero,meet(b,complement(a)))) != complement(join(zero,meet(b,complement(a))))
    | join(zero,meet(b,complement(a))) != meet(b,complement(a))
    | complement(join(zero,meet(b,complement(a)))) = complement(meet(b,complement(a))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(b,complement(a)))),complement(join(zero,meet(b,complement(a))))) ),[1,0],$fot(meet(b,complement(a)))]]) ).

cnf(refute_0_3048,plain,
    ( join(zero,meet(b,complement(a))) != meet(b,complement(a))
    | complement(join(zero,meet(b,complement(a)))) = complement(meet(b,complement(a))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,meet(b,complement(a)))),complement(join(zero,meet(b,complement(a))))) )],[refute_0_3046,refute_0_3047]) ).

cnf(refute_0_3049,plain,
    complement(join(zero,meet(b,complement(a)))) = complement(meet(b,complement(a))),
    inference(resolve,[$cnf( $equal(join(zero,meet(b,complement(a))),meet(b,complement(a))) )],[refute_0_3045,refute_0_3048]) ).

cnf(refute_0_3050,plain,
    ( complement(join(zero,meet(b,complement(a)))) != complement(meet(b,complement(a)))
    | complement(meet(b,complement(a))) != join(a,complement(b))
    | complement(join(zero,meet(b,complement(a)))) = join(a,complement(b)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(complement(join(zero,meet(b,complement(a)))))),bind(Y0,$fot(complement(meet(b,complement(a))))),bind(Z0,$fot(join(a,complement(b))))]]) ).

cnf(refute_0_3051,plain,
    ( complement(meet(b,complement(a))) != join(a,complement(b))
    | complement(join(zero,meet(b,complement(a)))) = join(a,complement(b)) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,meet(b,complement(a)))),complement(meet(b,complement(a)))) )],[refute_0_3049,refute_0_3050]) ).

cnf(refute_0_3052,plain,
    complement(join(zero,meet(b,complement(a)))) = join(a,complement(b)),
    inference(resolve,[$cnf( $equal(complement(meet(b,complement(a))),join(a,complement(b))) )],[refute_0_3027,refute_0_3051]) ).

cnf(refute_0_3053,plain,
    meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),
    introduced(tautology,[refl,[$fot(meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3054,plain,
    ( complement(join(zero,meet(b,complement(a)))) != join(a,complement(b))
    | meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))
    | meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = meet(join(a,complement(b)),join(complement(b),meet(b,complement(a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) ),[1,0],$fot(join(a,complement(b)))]]) ).

cnf(refute_0_3055,plain,
    ( complement(join(zero,meet(b,complement(a)))) != join(a,complement(b))
    | meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = meet(join(a,complement(b)),join(complement(b),meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) )],[refute_0_3053,refute_0_3054]) ).

cnf(refute_0_3056,plain,
    meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = meet(join(a,complement(b)),join(complement(b),meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(complement(join(zero,meet(b,complement(a)))),join(a,complement(b))) )],[refute_0_3052,refute_0_3055]) ).

cnf(refute_0_3057,plain,
    meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) = meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))),
    introduced(tautology,[refl,[$fot(meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))))]]) ).

cnf(refute_0_3058,plain,
    ( meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) != meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))
    | meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))
    | meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) = meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))),meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))) ),[1,1],$fot(meet(join(a,complement(b)),join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3059,plain,
    ( meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))
    | meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) = meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))),meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))) )],[refute_0_3057,refute_0_3058]) ).

cnf(refute_0_3060,plain,
    meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) = meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))),
    inference(resolve,[$cnf( $equal(meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))) )],[refute_0_3056,refute_0_3059]) ).

cnf(refute_0_3061,plain,
    ( meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) != meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a)))))
    | meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))) != meet(a,join(complement(b),meet(b,complement(a))))
    | meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) = meet(a,join(complement(b),meet(b,complement(a)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))))),bind(Y0,$fot(meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))))),bind(Z0,$fot(meet(a,join(complement(b),meet(b,complement(a))))))]]) ).

cnf(refute_0_3062,plain,
    ( meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))) != meet(a,join(complement(b),meet(b,complement(a))))
    | meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) = meet(a,join(complement(b),meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))),meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a)))))) )],[refute_0_3060,refute_0_3061]) ).

cnf(refute_0_3063,plain,
    meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) = meet(a,join(complement(b),meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,complement(b)),join(complement(b),meet(b,complement(a))))),meet(a,join(complement(b),meet(b,complement(a))))) )],[refute_0_3044,refute_0_3062]) ).

cnf(refute_0_3064,plain,
    meet(X_283,meet(X_44,X)) = meet(X_283,meet(join(X_282,X_283),meet(X_44,X))),
    inference(subst,[],[refute_0_782:[bind(X_10,$fot(X_282)),bind(X_43,$fot(X_283)),bind(X_45,$fot(meet(X_44,X)))]]) ).

cnf(refute_0_3065,plain,
    meet(X,meet(join(X_282,X_283),X_44)) = meet(join(X_282,X_283),meet(X_44,X)),
    inference(subst,[],[refute_0_59:[bind(X_43,$fot(join(X_282,X_283)))]]) ).

cnf(refute_0_3066,plain,
    ( meet(X,meet(join(X_282,X_283),X_44)) != meet(join(X_282,X_283),meet(X_44,X))
    | meet(join(X_282,X_283),meet(X_44,X)) = meet(X,meet(join(X_282,X_283),X_44)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,meet(join(X_282,X_283),X_44)))),bind(Y0,$fot(meet(join(X_282,X_283),meet(X_44,X))))]]) ).

cnf(refute_0_3067,plain,
    meet(join(X_282,X_283),meet(X_44,X)) = meet(X,meet(join(X_282,X_283),X_44)),
    inference(resolve,[$cnf( $equal(meet(X,meet(join(X_282,X_283),X_44)),meet(join(X_282,X_283),meet(X_44,X))) )],[refute_0_3065,refute_0_3066]) ).

cnf(refute_0_3068,plain,
    ( meet(X_283,meet(X_44,X)) != meet(X_283,meet(join(X_282,X_283),meet(X_44,X)))
    | meet(join(X_282,X_283),meet(X_44,X)) != meet(X,meet(join(X_282,X_283),X_44))
    | meet(X_283,meet(X_44,X)) = meet(X_283,meet(X,meet(join(X_282,X_283),X_44))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_283,meet(X_44,X)),meet(X_283,meet(join(X_282,X_283),meet(X_44,X)))) ),[1,1],$fot(meet(X,meet(join(X_282,X_283),X_44)))]]) ).

cnf(refute_0_3069,plain,
    ( meet(X_283,meet(X_44,X)) != meet(X_283,meet(join(X_282,X_283),meet(X_44,X)))
    | meet(X_283,meet(X_44,X)) = meet(X_283,meet(X,meet(join(X_282,X_283),X_44))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_282,X_283),meet(X_44,X)),meet(X,meet(join(X_282,X_283),X_44))) )],[refute_0_3067,refute_0_3068]) ).

cnf(refute_0_3070,plain,
    meet(X_283,meet(X_44,X)) = meet(X_283,meet(X,meet(join(X_282,X_283),X_44))),
    inference(resolve,[$cnf( $equal(meet(X_283,meet(X_44,X)),meet(X_283,meet(join(X_282,X_283),meet(X_44,X)))) )],[refute_0_3064,refute_0_3069]) ).

cnf(refute_0_3071,plain,
    meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) = meet(X_43,meet(X_15,meet(X_43,meet(join(X_282,X_43),X_284)))),
    inference(subst,[],[refute_0_82:[bind(X_45,$fot(meet(join(X_282,X_43),X_284)))]]) ).

cnf(refute_0_3072,plain,
    meet(X_43,X_284) = meet(X_43,meet(join(X_282,X_43),X_284)),
    inference(subst,[],[refute_0_782:[bind(X_10,$fot(X_282)),bind(X_45,$fot(X_284))]]) ).

cnf(refute_0_3073,plain,
    ( meet(X_43,X_284) != meet(X_43,meet(join(X_282,X_43),X_284))
    | meet(X_43,meet(join(X_282,X_43),X_284)) = meet(X_43,X_284) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_43,X_284))),bind(Y0,$fot(meet(X_43,meet(join(X_282,X_43),X_284))))]]) ).

cnf(refute_0_3074,plain,
    meet(X_43,meet(join(X_282,X_43),X_284)) = meet(X_43,X_284),
    inference(resolve,[$cnf( $equal(meet(X_43,X_284),meet(X_43,meet(join(X_282,X_43),X_284))) )],[refute_0_3072,refute_0_3073]) ).

cnf(refute_0_3075,plain,
    ( meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) != meet(X_43,meet(X_15,meet(X_43,meet(join(X_282,X_43),X_284))))
    | meet(X_43,meet(join(X_282,X_43),X_284)) != meet(X_43,X_284)
    | meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) = meet(X_43,meet(X_15,meet(X_43,X_284))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))),meet(X_43,meet(X_15,meet(X_43,meet(join(X_282,X_43),X_284))))) ),[1,1,1],$fot(meet(X_43,X_284))]]) ).

cnf(refute_0_3076,plain,
    ( meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) != meet(X_43,meet(X_15,meet(X_43,meet(join(X_282,X_43),X_284))))
    | meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) = meet(X_43,meet(X_15,meet(X_43,X_284))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(join(X_282,X_43),X_284)),meet(X_43,X_284)) )],[refute_0_3074,refute_0_3075]) ).

cnf(refute_0_3077,plain,
    meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) = meet(X_43,meet(X_15,meet(X_43,X_284))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))),meet(X_43,meet(X_15,meet(X_43,meet(join(X_282,X_43),X_284))))) )],[refute_0_3071,refute_0_3076]) ).

cnf(refute_0_3078,plain,
    meet(X_43,meet(X_15,meet(X_43,X_284))) = meet(X_43,meet(X_15,X_284)),
    inference(subst,[],[refute_0_84:[bind(X_45,$fot(X_284))]]) ).

cnf(refute_0_3079,plain,
    ( meet(X_43,meet(X_15,meet(X_43,X_284))) != meet(X_43,meet(X_15,X_284))
    | meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) != meet(X_43,meet(X_15,meet(X_43,X_284)))
    | meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) = meet(X_43,meet(X_15,X_284)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))),meet(X_43,meet(X_15,meet(X_43,X_284)))) ),[1],$fot(meet(X_43,meet(X_15,X_284)))]]) ).

cnf(refute_0_3080,plain,
    ( meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) != meet(X_43,meet(X_15,meet(X_43,X_284)))
    | meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) = meet(X_43,meet(X_15,X_284)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,meet(X_43,X_284))),meet(X_43,meet(X_15,X_284))) )],[refute_0_3078,refute_0_3079]) ).

cnf(refute_0_3081,plain,
    meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))) = meet(X_43,meet(X_15,X_284)),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(X_15,meet(join(X_282,X_43),X_284))),meet(X_43,meet(X_15,meet(X_43,X_284)))) )],[refute_0_3077,refute_0_3080]) ).

cnf(refute_0_3082,plain,
    meet(X_283,meet(X,meet(join(X_282,X_283),X_44))) = meet(X_283,meet(X,X_44)),
    inference(subst,[],[refute_0_3081:[bind(X_15,$fot(X)),bind(X_284,$fot(X_44)),bind(X_43,$fot(X_283))]]) ).

cnf(refute_0_3083,plain,
    ( meet(X_283,meet(X,meet(join(X_282,X_283),X_44))) != meet(X_283,meet(X,X_44))
    | meet(X_283,meet(X_44,X)) != meet(X_283,meet(X,meet(join(X_282,X_283),X_44)))
    | meet(X_283,meet(X_44,X)) = meet(X_283,meet(X,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_283,meet(X_44,X)),meet(X_283,meet(X,meet(join(X_282,X_283),X_44)))) ),[1],$fot(meet(X_283,meet(X,X_44)))]]) ).

cnf(refute_0_3084,plain,
    ( meet(X_283,meet(X_44,X)) != meet(X_283,meet(X,meet(join(X_282,X_283),X_44)))
    | meet(X_283,meet(X_44,X)) = meet(X_283,meet(X,X_44)) ),
    inference(resolve,[$cnf( $equal(meet(X_283,meet(X,meet(join(X_282,X_283),X_44))),meet(X_283,meet(X,X_44))) )],[refute_0_3082,refute_0_3083]) ).

cnf(refute_0_3085,plain,
    meet(X_283,meet(X_44,X)) = meet(X_283,meet(X,X_44)),
    inference(resolve,[$cnf( $equal(meet(X_283,meet(X_44,X)),meet(X_283,meet(X,meet(join(X_282,X_283),X_44)))) )],[refute_0_3070,refute_0_3084]) ).

cnf(refute_0_3086,plain,
    ( meet(X_283,meet(X_44,X)) != meet(X_283,meet(X,X_44))
    | meet(X_283,meet(X,X_44)) = meet(X_283,meet(X_44,X)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_283,meet(X_44,X)))),bind(Y0,$fot(meet(X_283,meet(X,X_44))))]]) ).

cnf(refute_0_3087,plain,
    meet(X_283,meet(X,X_44)) = meet(X_283,meet(X_44,X)),
    inference(resolve,[$cnf( $equal(meet(X_283,meet(X_44,X)),meet(X_283,meet(X,X_44))) )],[refute_0_3085,refute_0_3086]) ).

cnf(refute_0_3088,plain,
    meet(b,meet(join(complement(b),meet(b,complement(a))),complement(join(zero,meet(b,complement(a)))))) = meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))),
    inference(subst,[],[refute_0_3087:[bind(X,$fot(join(complement(b),meet(b,complement(a))))),bind(X_283,$fot(b)),bind(X_44,$fot(complement(join(zero,meet(b,complement(a))))))]]) ).

cnf(refute_0_3089,plain,
    meet(meet(b,join(X_490,meet(b,complement(a)))),Z) = meet(b,meet(join(X_490,meet(b,complement(a))),Z)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(join(X_490,meet(b,complement(a)))))]]) ).

cnf(refute_0_3090,plain,
    join(X_163,meet(b,complement(a))) = join(meet(b,complement(a)),X_163),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_163)),bind(Y,$fot(meet(b,complement(a))))]]) ).

cnf(refute_0_3091,plain,
    ( join(X_163,meet(b,complement(a))) != join(meet(b,complement(a)),X_163)
    | join(meet(b,complement(a)),X_163) = join(X_163,meet(b,complement(a))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_163,meet(b,complement(a))))),bind(Y0,$fot(join(meet(b,complement(a)),X_163)))]]) ).

cnf(refute_0_3092,plain,
    join(meet(b,complement(a)),X_163) = join(X_163,meet(b,complement(a))),
    inference(resolve,[$cnf( $equal(join(X_163,meet(b,complement(a))),join(meet(b,complement(a)),X_163)) )],[refute_0_3090,refute_0_3091]) ).

cnf(refute_0_3093,plain,
    ( join(meet(b,X_163),meet(b,complement(a))) != meet(b,join(meet(b,complement(a)),X_163))
    | join(meet(b,complement(a)),X_163) != join(X_163,meet(b,complement(a)))
    | join(meet(b,X_163),meet(b,complement(a))) = meet(b,join(X_163,meet(b,complement(a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_163),meet(b,complement(a))),meet(b,join(meet(b,complement(a)),X_163))) ),[1,1],$fot(join(X_163,meet(b,complement(a))))]]) ).

cnf(refute_0_3094,plain,
    ( join(meet(b,X_163),meet(b,complement(a))) != meet(b,join(meet(b,complement(a)),X_163))
    | join(meet(b,X_163),meet(b,complement(a))) = meet(b,join(X_163,meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),X_163),join(X_163,meet(b,complement(a)))) )],[refute_0_3092,refute_0_3093]) ).

cnf(refute_0_3095,plain,
    join(meet(b,X_163),meet(b,complement(a))) = meet(b,join(X_163,meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(join(meet(b,X_163),meet(b,complement(a))),meet(b,join(meet(b,complement(a)),X_163))) )],[refute_0_331,refute_0_3094]) ).

cnf(refute_0_3096,plain,
    join(meet(b,X_490),meet(b,complement(a))) = meet(b,join(X_490,meet(b,complement(a)))),
    inference(subst,[],[refute_0_3095:[bind(X_163,$fot(X_490))]]) ).

cnf(refute_0_3097,plain,
    ( join(meet(b,X_490),meet(b,complement(a))) != meet(b,join(X_490,meet(b,complement(a))))
    | meet(b,join(X_490,meet(b,complement(a)))) = join(meet(b,X_490),meet(b,complement(a))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(b,X_490),meet(b,complement(a))))),bind(Y0,$fot(meet(b,join(X_490,meet(b,complement(a))))))]]) ).

cnf(refute_0_3098,plain,
    meet(b,join(X_490,meet(b,complement(a)))) = join(meet(b,X_490),meet(b,complement(a))),
    inference(resolve,[$cnf( $equal(join(meet(b,X_490),meet(b,complement(a))),meet(b,join(X_490,meet(b,complement(a))))) )],[refute_0_3096,refute_0_3097]) ).

cnf(refute_0_3099,plain,
    ( meet(b,join(X_490,meet(b,complement(a)))) != join(meet(b,X_490),meet(b,complement(a)))
    | meet(meet(b,join(X_490,meet(b,complement(a)))),Z) != meet(b,meet(join(X_490,meet(b,complement(a))),Z))
    | meet(join(meet(b,X_490),meet(b,complement(a))),Z) = meet(b,meet(join(X_490,meet(b,complement(a))),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,join(X_490,meet(b,complement(a)))),Z),meet(b,meet(join(X_490,meet(b,complement(a))),Z))) ),[0,0],$fot(join(meet(b,X_490),meet(b,complement(a))))]]) ).

cnf(refute_0_3100,plain,
    ( meet(meet(b,join(X_490,meet(b,complement(a)))),Z) != meet(b,meet(join(X_490,meet(b,complement(a))),Z))
    | meet(join(meet(b,X_490),meet(b,complement(a))),Z) = meet(b,meet(join(X_490,meet(b,complement(a))),Z)) ),
    inference(resolve,[$cnf( $equal(meet(b,join(X_490,meet(b,complement(a)))),join(meet(b,X_490),meet(b,complement(a)))) )],[refute_0_3098,refute_0_3099]) ).

cnf(refute_0_3101,plain,
    meet(join(meet(b,X_490),meet(b,complement(a))),Z) = meet(b,meet(join(X_490,meet(b,complement(a))),Z)),
    inference(resolve,[$cnf( $equal(meet(meet(b,join(X_490,meet(b,complement(a)))),Z),meet(b,meet(join(X_490,meet(b,complement(a))),Z))) )],[refute_0_3089,refute_0_3100]) ).

cnf(refute_0_3102,plain,
    meet(meet(b,join(meet(b,complement(a)),X_163)),Z) = meet(b,meet(join(meet(b,complement(a)),X_163),Z)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(join(meet(b,complement(a)),X_163)))]]) ).

cnf(refute_0_3103,plain,
    ( meet(b,join(meet(b,complement(a)),X_163)) != join(meet(b,X_163),meet(b,complement(a)))
    | meet(meet(b,join(meet(b,complement(a)),X_163)),Z) != meet(b,meet(join(meet(b,complement(a)),X_163),Z))
    | meet(join(meet(b,X_163),meet(b,complement(a))),Z) = meet(b,meet(join(meet(b,complement(a)),X_163),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,join(meet(b,complement(a)),X_163)),Z),meet(b,meet(join(meet(b,complement(a)),X_163),Z))) ),[0,0],$fot(join(meet(b,X_163),meet(b,complement(a))))]]) ).

cnf(refute_0_3104,plain,
    ( meet(meet(b,join(meet(b,complement(a)),X_163)),Z) != meet(b,meet(join(meet(b,complement(a)),X_163),Z))
    | meet(join(meet(b,X_163),meet(b,complement(a))),Z) = meet(b,meet(join(meet(b,complement(a)),X_163),Z)) ),
    inference(resolve,[$cnf( $equal(meet(b,join(meet(b,complement(a)),X_163)),join(meet(b,X_163),meet(b,complement(a)))) )],[refute_0_333,refute_0_3103]) ).

cnf(refute_0_3105,plain,
    meet(join(meet(b,X_163),meet(b,complement(a))),Z) = meet(b,meet(join(meet(b,complement(a)),X_163),Z)),
    inference(resolve,[$cnf( $equal(meet(meet(b,join(meet(b,complement(a)),X_163)),Z),meet(b,meet(join(meet(b,complement(a)),X_163),Z))) )],[refute_0_3102,refute_0_3104]) ).

cnf(refute_0_3106,plain,
    meet(join(meet(b,X_490),meet(b,complement(a))),Z) = meet(b,meet(join(meet(b,complement(a)),X_490),Z)),
    inference(subst,[],[refute_0_3105:[bind(X_163,$fot(X_490))]]) ).

cnf(refute_0_3107,plain,
    ( meet(join(meet(b,X_490),meet(b,complement(a))),Z) != meet(b,meet(join(X_490,meet(b,complement(a))),Z))
    | meet(join(meet(b,X_490),meet(b,complement(a))),Z) != meet(b,meet(join(meet(b,complement(a)),X_490),Z))
    | meet(b,meet(join(meet(b,complement(a)),X_490),Z)) = meet(b,meet(join(X_490,meet(b,complement(a))),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(b,X_490),meet(b,complement(a))),Z),meet(b,meet(join(X_490,meet(b,complement(a))),Z))) ),[0],$fot(meet(b,meet(join(meet(b,complement(a)),X_490),Z)))]]) ).

cnf(refute_0_3108,plain,
    ( meet(join(meet(b,X_490),meet(b,complement(a))),Z) != meet(b,meet(join(X_490,meet(b,complement(a))),Z))
    | meet(b,meet(join(meet(b,complement(a)),X_490),Z)) = meet(b,meet(join(X_490,meet(b,complement(a))),Z)) ),
    inference(resolve,[$cnf( $equal(meet(join(meet(b,X_490),meet(b,complement(a))),Z),meet(b,meet(join(meet(b,complement(a)),X_490),Z))) )],[refute_0_3106,refute_0_3107]) ).

cnf(refute_0_3109,plain,
    meet(b,meet(join(meet(b,complement(a)),X_490),Z)) = meet(b,meet(join(X_490,meet(b,complement(a))),Z)),
    inference(resolve,[$cnf( $equal(meet(join(meet(b,X_490),meet(b,complement(a))),Z),meet(b,meet(join(X_490,meet(b,complement(a))),Z))) )],[refute_0_3101,refute_0_3108]) ).

cnf(refute_0_3110,plain,
    meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) = meet(b,meet(join(complement(b),meet(b,complement(a))),complement(join(zero,meet(b,complement(a)))))),
    inference(subst,[],[refute_0_3109:[bind(Z,$fot(complement(join(zero,meet(b,complement(a)))))),bind(X_490,$fot(complement(b)))]]) ).

cnf(refute_0_3111,plain,
    ( meet(b,meet(join(complement(b),meet(b,complement(a))),complement(join(zero,meet(b,complement(a)))))) != meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))
    | meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) != meet(b,meet(join(complement(b),meet(b,complement(a))),complement(join(zero,meet(b,complement(a))))))
    | meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) = meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))))),bind(Y0,$fot(meet(b,meet(join(complement(b),meet(b,complement(a))),complement(join(zero,meet(b,complement(a)))))))),bind(Z0,$fot(meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))))]]) ).

cnf(refute_0_3112,plain,
    ( meet(b,meet(join(complement(b),meet(b,complement(a))),complement(join(zero,meet(b,complement(a)))))) != meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))
    | meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) = meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))),meet(b,meet(join(complement(b),meet(b,complement(a))),complement(join(zero,meet(b,complement(a))))))) )],[refute_0_3110,refute_0_3111]) ).

cnf(refute_0_3113,plain,
    meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) = meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(complement(b),meet(b,complement(a))),complement(join(zero,meet(b,complement(a)))))),meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))) )],[refute_0_3088,refute_0_3112]) ).

cnf(refute_0_3114,plain,
    ( meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) != meet(a,join(complement(b),meet(b,complement(a))))
    | meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) != meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))
    | meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) = meet(a,join(complement(b),meet(b,complement(a)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))))),bind(Y0,$fot(meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))))),bind(Z0,$fot(meet(a,join(complement(b),meet(b,complement(a))))))]]) ).

cnf(refute_0_3115,plain,
    ( meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) != meet(a,join(complement(b),meet(b,complement(a))))
    | meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) = meet(a,join(complement(b),meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))),meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))) )],[refute_0_3113,refute_0_3114]) ).

cnf(refute_0_3116,plain,
    meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) = meet(a,join(complement(b),meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(join(zero,meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))),meet(a,join(complement(b),meet(b,complement(a))))) )],[refute_0_3063,refute_0_3115]) ).

cnf(refute_0_3117,plain,
    ( meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) != meet(a,join(complement(b),meet(b,complement(a))))
    | meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) != zero
    | meet(a,join(complement(b),meet(b,complement(a)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))),zero) ),[0],$fot(meet(a,join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3118,plain,
    ( meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))) != zero
    | meet(a,join(complement(b),meet(b,complement(a)))) = zero ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))),meet(a,join(complement(b),meet(b,complement(a))))) )],[refute_0_3116,refute_0_3117]) ).

cnf(refute_0_3119,plain,
    meet(a,join(complement(b),meet(b,complement(a)))) = zero,
    inference(resolve,[$cnf( $equal(meet(b,meet(join(meet(b,complement(a)),complement(b)),complement(join(zero,meet(b,complement(a)))))),zero) )],[refute_0_369,refute_0_3118]) ).

cnf(refute_0_3120,plain,
    ( ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(meet(a,join(complement(b),meet(b,complement(a)))),zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != join(complement(b),meet(b,complement(a)))
    | meet(a,join(complement(b),meet(b,complement(a)))) != zero
    | ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = join(complement(b),meet(b,complement(a))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(meet(a,join(complement(b),meet(b,complement(a)))),zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) ),[0,2,0],$fot(zero)]]) ).

cnf(refute_0_3121,plain,
    ( ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(meet(a,join(complement(b),meet(b,complement(a)))),zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != join(complement(b),meet(b,complement(a)))
    | ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = join(complement(b),meet(b,complement(a))) ),
    inference(resolve,[$cnf( $equal(meet(a,join(complement(b),meet(b,complement(a)))),zero) )],[refute_0_3119,refute_0_3120]) ).

cnf(refute_0_3122,plain,
    ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = join(complement(b),meet(b,complement(a))),
    inference(resolve,[$cnf( $equal(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(meet(a,join(complement(b),meet(b,complement(a)))),zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) )],[refute_0_23,refute_0_3121]) ).

cnf(refute_0_3123,plain,
    ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))) = complement(a),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(one)),bind(B,$fot(complement(a))),bind(C,$fot(join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3124,plain,
    ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))) = complement(a),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(zero)),bind(B,$fot(complement(a))),bind(C,$fot(join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3125,plain,
    ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),
    introduced(tautology,[refl,[$fot(ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3126,plain,
    ( ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))
    | ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))) != complement(a)
    | ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) ),[1,2],$fot(complement(a))]]) ).

cnf(refute_0_3127,plain,
    ( ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))) != complement(a)
    | ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) )],[refute_0_3125,refute_0_3126]) ).

cnf(refute_0_3128,plain,
    ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),complement(a)) )],[refute_0_3124,refute_0_3127]) ).

cnf(refute_0_3129,plain,
    join(join(complement(b),meet(b,complement(a))),a) = join(a,join(complement(b),meet(b,complement(a)))),
    inference(subst,[],[refute_0_714:[bind(X_252,$fot(join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3130,plain,
    ( join(a,join(complement(b),meet(b,complement(a)))) != one
    | join(join(complement(b),meet(b,complement(a))),a) != join(a,join(complement(b),meet(b,complement(a))))
    | join(join(complement(b),meet(b,complement(a))),a) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(join(complement(b),meet(b,complement(a))),a))),bind(Y0,$fot(join(a,join(complement(b),meet(b,complement(a)))))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_3131,plain,
    ( join(a,join(complement(b),meet(b,complement(a)))) != one
    | join(join(complement(b),meet(b,complement(a))),a) = one ),
    inference(resolve,[$cnf( $equal(join(join(complement(b),meet(b,complement(a))),a),join(a,join(complement(b),meet(b,complement(a))))) )],[refute_0_3129,refute_0_3130]) ).

cnf(refute_0_3132,plain,
    join(join(complement(b),meet(b,complement(a))),a) = one,
    inference(resolve,[$cnf( $equal(join(a,join(complement(b),meet(b,complement(a)))),one) )],[refute_0_2928,refute_0_3131]) ).

cnf(refute_0_3133,plain,
    ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),
    introduced(tautology,[refl,[$fot(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3134,plain,
    ( ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))
    | join(join(complement(b),meet(b,complement(a))),a) != one
    | ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_3135,plain,
    ( join(join(complement(b),meet(b,complement(a))),a) != one
    | ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) )],[refute_0_3133,refute_0_3134]) ).

cnf(refute_0_3136,plain,
    ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(join(join(complement(b),meet(b,complement(a))),a),one) )],[refute_0_3132,refute_0_3135]) ).

cnf(refute_0_3137,plain,
    ( ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))
    | ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a))))
    | ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))),bind(Y0,$fot(ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))),bind(Z0,$fot(ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a))))))]]) ).

cnf(refute_0_3138,plain,
    ( ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a))))
    | ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a))))) )],[refute_0_3136,refute_0_3137]) ).

cnf(refute_0_3139,plain,
    ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(ifeq(one,one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a))))) )],[refute_0_3128,refute_0_3138]) ).

cnf(refute_0_3140,plain,
    ( ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a))))
    | ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))) != complement(a)
    | ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = complement(a) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))))),bind(Y0,$fot(ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))))),bind(Z0,$fot(complement(a)))]]) ).

cnf(refute_0_3141,plain,
    ( ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))) != complement(a)
    | ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = complement(a) ),
    inference(resolve,[$cnf( $equal(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a))))) )],[refute_0_3139,refute_0_3140]) ).

cnf(refute_0_3142,plain,
    ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) = complement(a),
    inference(resolve,[$cnf( $equal(ifeq(one,one,complement(a),join(complement(b),meet(b,complement(a)))),complement(a)) )],[refute_0_3123,refute_0_3141]) ).

cnf(refute_0_3143,plain,
    ( ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != complement(a)
    | ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != join(complement(b),meet(b,complement(a)))
    | complement(a) = join(complement(b),meet(b,complement(a))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) ),[0],$fot(complement(a))]]) ).

cnf(refute_0_3144,plain,
    ( ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) != join(complement(b),meet(b,complement(a)))
    | complement(a) = join(complement(b),meet(b,complement(a))) ),
    inference(resolve,[$cnf( $equal(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),complement(a)) )],[refute_0_3142,refute_0_3143]) ).

cnf(refute_0_3145,plain,
    complement(a) = join(complement(b),meet(b,complement(a))),
    inference(resolve,[$cnf( $equal(ifeq(join(join(complement(b),meet(b,complement(a))),a),one,ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) )],[refute_0_3122,refute_0_3144]) ).

cnf(refute_0_3146,plain,
    ( complement(a) != join(complement(b),meet(b,complement(a)))
    | join(complement(b),meet(b,complement(a))) = complement(a) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(complement(a))),bind(Y0,$fot(join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3147,plain,
    join(complement(b),meet(b,complement(a))) = complement(a),
    inference(resolve,[$cnf( $equal(complement(a),join(complement(b),meet(b,complement(a)))) )],[refute_0_3145,refute_0_3146]) ).

cnf(refute_0_3148,plain,
    ( join(complement(b),join(meet(b,complement(a)),complement(b))) != join(complement(b),meet(b,complement(a)))
    | join(complement(b),meet(b,complement(a))) != complement(a)
    | join(complement(b),join(meet(b,complement(a)),complement(b))) = complement(a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(b),join(meet(b,complement(a)),complement(b))),complement(a)) ),[0],$fot(join(complement(b),meet(b,complement(a))))]]) ).

cnf(refute_0_3149,plain,
    ( join(complement(b),join(meet(b,complement(a)),complement(b))) != join(complement(b),meet(b,complement(a)))
    | join(complement(b),join(meet(b,complement(a)),complement(b))) = complement(a) ),
    inference(resolve,[$cnf( $equal(join(complement(b),meet(b,complement(a))),complement(a)) )],[refute_0_3147,refute_0_3148]) ).

cnf(refute_0_3150,plain,
    join(complement(b),join(meet(b,complement(a)),complement(b))) = complement(a),
    inference(resolve,[$cnf( $equal(join(complement(b),join(meet(b,complement(a)),complement(b))),join(complement(b),meet(b,complement(a)))) )],[refute_0_12,refute_0_3149]) ).

cnf(refute_0_3151,plain,
    join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),X_33)),
    inference(subst,[],[refute_0_559:[bind(Y,$fot(b)),bind(X_31,$fot(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))]]) ).

cnf(refute_0_3152,plain,
    join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = meet(X_157,join(meet(X_157,meet(a,complement(meet(b,X_157)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(X_157)),bind(Y,$fot(meet(a,complement(meet(b,X_157))))),bind(Z,$fot(X_159))]]) ).

cnf(refute_0_3153,plain,
    meet(X_157,meet(a,complement(meet(b,X_157)))) = zero,
    inference(subst,[],[refute_0_2180:[bind(X_78,$fot(X_157))]]) ).

cnf(refute_0_3154,plain,
    ( join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,meet(a,complement(meet(b,X_157)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))
    | meet(X_157,meet(a,complement(meet(b,X_157)))) != zero
    | join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)),meet(X_157,join(meet(X_157,meet(a,complement(meet(b,X_157)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))) ),[1,1,0],$fot(zero)]]) ).

cnf(refute_0_3155,plain,
    ( join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,meet(a,complement(meet(b,X_157)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))
    | join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,meet(a,complement(meet(b,X_157)))),zero) )],[refute_0_3153,refute_0_3154]) ).

cnf(refute_0_3156,plain,
    join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)),meet(X_157,join(meet(X_157,meet(a,complement(meet(b,X_157)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))) )],[refute_0_3152,refute_0_3155]) ).

cnf(refute_0_3157,plain,
    join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)),
    introduced(tautology,[refl,[$fot(join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)))]]) ).

cnf(refute_0_3158,plain,
    ( join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) != join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159))
    | meet(X_157,meet(a,complement(meet(b,X_157)))) != zero
    | join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = join(zero,meet(X_157,X_159)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)),join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_3159,plain,
    ( meet(X_157,meet(a,complement(meet(b,X_157)))) != zero
    | join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = join(zero,meet(X_157,X_159)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)),join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159))) )],[refute_0_3157,refute_0_3158]) ).

cnf(refute_0_3160,plain,
    join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = join(zero,meet(X_157,X_159)),
    inference(resolve,[$cnf( $equal(meet(X_157,meet(a,complement(meet(b,X_157)))),zero) )],[refute_0_3153,refute_0_3159]) ).

cnf(refute_0_3161,plain,
    ( join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) != join(zero,meet(X_157,X_159))
    | join(zero,meet(X_157,X_159)) != meet(X_157,X_159)
    | join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = meet(X_157,X_159) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)))),bind(Y0,$fot(join(zero,meet(X_157,X_159)))),bind(Z0,$fot(meet(X_157,X_159)))]]) ).

cnf(refute_0_3162,plain,
    ( join(zero,meet(X_157,X_159)) != meet(X_157,X_159)
    | join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = meet(X_157,X_159) ),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)),join(zero,meet(X_157,X_159))) )],[refute_0_3160,refute_0_3161]) ).

cnf(refute_0_3163,plain,
    join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) = meet(X_157,X_159),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_157,X_159)),meet(X_157,X_159)) )],[refute_0_2192,refute_0_3162]) ).

cnf(refute_0_3164,plain,
    ( join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) != meet(X_157,X_159)
    | join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))
    | meet(X_157,X_159) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)),meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))) ),[0],$fot(meet(X_157,X_159))]]) ).

cnf(refute_0_3165,plain,
    ( join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))
    | meet(X_157,X_159) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)),meet(X_157,X_159)) )],[refute_0_3163,refute_0_3164]) ).

cnf(refute_0_3166,plain,
    meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)) = meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(complement(meet(b,X_157)))),bind(Z,$fot(join(X_157,X_159)))]]) ).

cnf(refute_0_3167,plain,
    join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))) = join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))),
    introduced(tautology,[refl,[$fot(join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))]]) ).

cnf(refute_0_3168,plain,
    ( join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))) != join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))
    | meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)) != meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))
    | join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))),join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))) ),[1,1],$fot(meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))]]) ).

cnf(refute_0_3169,plain,
    ( meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)) != meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))
    | join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))),join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))) )],[refute_0_3167,refute_0_3168]) ).

cnf(refute_0_3170,plain,
    join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))),
    inference(resolve,[$cnf( $equal(meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))) )],[refute_0_3166,refute_0_3169]) ).

cnf(refute_0_3171,plain,
    join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))) = join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))),
    inference(subst,[],[refute_0_1415:[bind(Y,$fot(join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))]]) ).

cnf(refute_0_3172,plain,
    ( join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))) != join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))
    | join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))) != join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))
    | join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))),bind(Y0,$fot(join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))),bind(Z0,$fot(join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))))]]) ).

cnf(refute_0_3173,plain,
    ( join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))) != join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))
    | join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))),join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))) )],[refute_0_3171,refute_0_3172]) ).

cnf(refute_0_3174,plain,
    join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))) = join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))),join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))) )],[refute_0_3170,refute_0_3173]) ).

cnf(refute_0_3175,plain,
    meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))) = meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))),
    introduced(tautology,[refl,[$fot(meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))))]]) ).

cnf(refute_0_3176,plain,
    ( join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))) != join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))
    | meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))
    | meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))),meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))) ),[1,1],$fot(join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))))]]) ).

cnf(refute_0_3177,plain,
    ( join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))) != join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))
    | meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))),meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))) )],[refute_0_3175,refute_0_3176]) ).

cnf(refute_0_3178,plain,
    meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))),join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))) )],[refute_0_3174,refute_0_3177]) ).

cnf(refute_0_3179,plain,
    ( meet(X_157,X_159) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))
    | meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))) != meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))))
    | meet(X_157,X_159) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_157,X_159),meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))))) ),[0],$fot(meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))))]]) ).

cnf(refute_0_3180,plain,
    ( meet(X_157,X_159) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))
    | meet(X_157,X_159) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159))))),meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159)))))) )],[refute_0_3178,refute_0_3179]) ).

cnf(refute_0_3181,plain,
    ( join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)) != meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))
    | meet(X_157,X_159) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,X_159),meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))) )],[refute_0_3165,refute_0_3180]) ).

cnf(refute_0_3182,plain,
    meet(X_157,X_159) = meet(X_157,join(meet(X_157,X_159),meet(a,meet(complement(meet(b,X_157)),join(X_157,X_159))))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,meet(a,complement(meet(b,X_157)))),meet(X_157,X_159)),meet(X_157,join(zero,join(meet(X_157,X_159),meet(meet(a,complement(meet(b,X_157))),join(X_157,X_159)))))) )],[refute_0_3156,refute_0_3181]) ).

cnf(refute_0_3183,plain,
    meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))))),
    inference(subst,[],[refute_0_3182:[bind(X_157,$fot(complement(a))),bind(X_159,$fot(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3184,plain,
    join(meet(b,X_45),complement(meet(a,meet(b,X_45)))) = one,
    inference(subst,[],[refute_0_1587:[bind(X_112,$fot(a)),bind(X_113,$fot(meet(b,X_45)))]]) ).

cnf(refute_0_3185,plain,
    ( meet(a,X_45) != meet(a,meet(b,X_45))
    | meet(a,meet(b,X_45)) = meet(a,X_45) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(a,X_45))),bind(Y0,$fot(meet(a,meet(b,X_45))))]]) ).

cnf(refute_0_3186,plain,
    meet(a,meet(b,X_45)) = meet(a,X_45),
    inference(resolve,[$cnf( $equal(meet(a,X_45),meet(a,meet(b,X_45))) )],[refute_0_394,refute_0_3185]) ).

cnf(refute_0_3187,plain,
    ( join(meet(b,X_45),complement(meet(a,meet(b,X_45)))) != one
    | meet(a,meet(b,X_45)) != meet(a,X_45)
    | join(meet(b,X_45),complement(meet(a,X_45))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_45),complement(meet(a,meet(b,X_45)))),one) ),[0,1,0],$fot(meet(a,X_45))]]) ).

cnf(refute_0_3188,plain,
    ( join(meet(b,X_45),complement(meet(a,meet(b,X_45)))) != one
    | join(meet(b,X_45),complement(meet(a,X_45))) = one ),
    inference(resolve,[$cnf( $equal(meet(a,meet(b,X_45)),meet(a,X_45)) )],[refute_0_3186,refute_0_3187]) ).

cnf(refute_0_3189,plain,
    join(meet(b,X_45),complement(meet(a,X_45))) = one,
    inference(resolve,[$cnf( $equal(join(meet(b,X_45),complement(meet(a,meet(b,X_45)))),one) )],[refute_0_3184,refute_0_3188]) ).

cnf(refute_0_3190,plain,
    join(meet(b,X_118),complement(meet(a,X_118))) = one,
    inference(subst,[],[refute_0_3189:[bind(X_45,$fot(X_118))]]) ).

cnf(refute_0_3191,plain,
    meet(X_118,a) = meet(a,X_118),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_118)),bind(Y,$fot(a))]]) ).

cnf(refute_0_3192,plain,
    ( meet(X_118,a) != meet(a,X_118)
    | meet(a,X_118) = meet(X_118,a) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_118,a))),bind(Y0,$fot(meet(a,X_118)))]]) ).

cnf(refute_0_3193,plain,
    meet(a,X_118) = meet(X_118,a),
    inference(resolve,[$cnf( $equal(meet(X_118,a),meet(a,X_118)) )],[refute_0_3191,refute_0_3192]) ).

cnf(refute_0_3194,plain,
    ( join(meet(b,X_118),complement(meet(a,X_118))) != one
    | meet(a,X_118) != meet(X_118,a)
    | join(meet(b,X_118),complement(meet(X_118,a))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_118),complement(meet(a,X_118))),one) ),[0,1,0],$fot(meet(X_118,a))]]) ).

cnf(refute_0_3195,plain,
    ( join(meet(b,X_118),complement(meet(a,X_118))) != one
    | join(meet(b,X_118),complement(meet(X_118,a))) = one ),
    inference(resolve,[$cnf( $equal(meet(a,X_118),meet(X_118,a)) )],[refute_0_3193,refute_0_3194]) ).

cnf(refute_0_3196,plain,
    join(meet(b,X_118),complement(meet(X_118,a))) = one,
    inference(resolve,[$cnf( $equal(join(meet(b,X_118),complement(meet(a,X_118))),one) )],[refute_0_3190,refute_0_3195]) ).

cnf(refute_0_3197,plain,
    join(meet(b,join(meet(b,complement(a)),X_163)),complement(meet(join(meet(b,complement(a)),X_163),a))) = one,
    inference(subst,[],[refute_0_3196:[bind(X_118,$fot(join(meet(b,complement(a)),X_163)))]]) ).

cnf(refute_0_3198,plain,
    ( join(meet(b,join(meet(b,complement(a)),X_163)),complement(meet(join(meet(b,complement(a)),X_163),a))) != one
    | meet(b,join(meet(b,complement(a)),X_163)) != join(meet(b,X_163),meet(b,complement(a)))
    | join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,join(meet(b,complement(a)),X_163)),complement(meet(join(meet(b,complement(a)),X_163),a))),one) ),[0,0],$fot(join(meet(b,X_163),meet(b,complement(a))))]]) ).

cnf(refute_0_3199,plain,
    ( join(meet(b,join(meet(b,complement(a)),X_163)),complement(meet(join(meet(b,complement(a)),X_163),a))) != one
    | join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) = one ),
    inference(resolve,[$cnf( $equal(meet(b,join(meet(b,complement(a)),X_163)),join(meet(b,X_163),meet(b,complement(a)))) )],[refute_0_333,refute_0_3198]) ).

cnf(refute_0_3200,plain,
    join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) = one,
    inference(resolve,[$cnf( $equal(join(meet(b,join(meet(b,complement(a)),X_163)),complement(meet(join(meet(b,complement(a)),X_163),a))),one) )],[refute_0_3197,refute_0_3199]) ).

cnf(refute_0_3201,plain,
    ( complement(meet(X_153,X_152)) != complement(meet(X_152,X_153))
    | complement(meet(X_152,X_153)) = complement(meet(X_153,X_152)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(complement(meet(X_153,X_152)))),bind(Y0,$fot(complement(meet(X_152,X_153))))]]) ).

cnf(refute_0_3202,plain,
    complement(meet(X_152,X_153)) = complement(meet(X_153,X_152)),
    inference(resolve,[$cnf( $equal(complement(meet(X_153,X_152)),complement(meet(X_152,X_153))) )],[refute_0_1932,refute_0_3201]) ).

cnf(refute_0_3203,plain,
    complement(meet(join(meet(b,complement(a)),X_163),a)) = complement(meet(a,join(meet(b,complement(a)),X_163))),
    inference(subst,[],[refute_0_3202:[bind(X_152,$fot(join(meet(b,complement(a)),X_163))),bind(X_153,$fot(a))]]) ).

cnf(refute_0_3204,plain,
    join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))) = join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))),
    introduced(tautology,[refl,[$fot(join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))))]]) ).

cnf(refute_0_3205,plain,
    ( complement(meet(join(meet(b,complement(a)),X_163),a)) != complement(meet(a,join(meet(b,complement(a)),X_163)))
    | join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))) != join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))
    | join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))) = join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))) ),[1,1],$fot(complement(meet(a,join(meet(b,complement(a)),X_163))))]]) ).

cnf(refute_0_3206,plain,
    ( complement(meet(join(meet(b,complement(a)),X_163),a)) != complement(meet(a,join(meet(b,complement(a)),X_163)))
    | join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))) = join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163)))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))) )],[refute_0_3204,refute_0_3205]) ).

cnf(refute_0_3207,plain,
    join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))) = join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163)))),
    inference(resolve,[$cnf( $equal(complement(meet(join(meet(b,complement(a)),X_163),a)),complement(meet(a,join(meet(b,complement(a)),X_163)))) )],[refute_0_3203,refute_0_3206]) ).

cnf(refute_0_3208,plain,
    join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))) = join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))),
    introduced(tautology,[refl,[$fot(join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))))]]) ).

cnf(refute_0_3209,plain,
    ( join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))) != join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))))
    | join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))) != join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))
    | join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))) = join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))),join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))))) ),[1,1],$fot(join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163)))))]]) ).

cnf(refute_0_3210,plain,
    ( join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))) != join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))
    | join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))) = join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))),join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))))) )],[refute_0_3208,refute_0_3209]) ).

cnf(refute_0_3211,plain,
    join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))) = join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))) )],[refute_0_3207,refute_0_3210]) ).

cnf(refute_0_3212,plain,
    join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) = join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(b,X_163))),bind(Y,$fot(meet(b,complement(a)))),bind(Z,$fot(complement(meet(join(meet(b,complement(a)),X_163),a))))]]) ).

cnf(refute_0_3213,plain,
    ( join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) != join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))))
    | join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))) != join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163)))))
    | join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) = join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))))),bind(Y0,$fot(join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))))),bind(Z0,$fot(join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163)))))))]]) ).

cnf(refute_0_3214,plain,
    ( join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))) != join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163)))))
    | join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) = join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))) ),
    inference(resolve,[$cnf( $equal(join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))),join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a))))) )],[refute_0_3212,refute_0_3213]) ).

cnf(refute_0_3215,plain,
    join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) = join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))),
    inference(resolve,[$cnf( $equal(join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(join(meet(b,complement(a)),X_163),a)))),join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163)))))) )],[refute_0_3211,refute_0_3214]) ).

cnf(refute_0_3216,plain,
    ( join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) != join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163)))))
    | join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) != one
    | join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))),one) ),[0],$fot(join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))))]]) ).

cnf(refute_0_3217,plain,
    ( join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))) != one
    | join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))) = one ),
    inference(resolve,[$cnf( $equal(join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))),join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163)))))) )],[refute_0_3215,refute_0_3216]) ).

cnf(refute_0_3218,plain,
    join(meet(b,X_163),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),X_163))))) = one,
    inference(resolve,[$cnf( $equal(join(join(meet(b,X_163),meet(b,complement(a))),complement(meet(join(meet(b,complement(a)),X_163),a))),one) )],[refute_0_3200,refute_0_3217]) ).

cnf(refute_0_3219,plain,
    join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) = one,
    inference(subst,[],[refute_0_3218:[bind(X_163,$fot(complement(meet(a,join(complement(b),meet(b,complement(a)))))))]]) ).

cnf(refute_0_3220,plain,
    join(meet(b,complement(b)),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) = one,
    inference(subst,[],[refute_0_3218:[bind(X_163,$fot(complement(b)))]]) ).

cnf(refute_0_3221,plain,
    ( join(meet(b,complement(b)),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) != one
    | meet(b,complement(b)) != zero
    | join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(b)),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))),one) ),[0,0],$fot(zero)]]) ).

cnf(refute_0_3222,plain,
    ( join(meet(b,complement(b)),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) != one
    | join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) = one ),
    inference(resolve,[$cnf( $equal(meet(b,complement(b)),zero) )],[refute_0_366,refute_0_3221]) ).

cnf(refute_0_3223,plain,
    join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) = one,
    inference(resolve,[$cnf( $equal(join(meet(b,complement(b)),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))),one) )],[refute_0_3220,refute_0_3222]) ).

cnf(refute_0_3224,plain,
    meet(a,join(X_490,meet(b,complement(a)))) = meet(a,meet(b,join(X_490,meet(b,complement(a))))),
    inference(subst,[],[refute_0_394:[bind(X_45,$fot(join(X_490,meet(b,complement(a)))))]]) ).

cnf(refute_0_3225,plain,
    ( meet(a,join(X_490,meet(b,complement(a)))) != meet(a,meet(b,join(X_490,meet(b,complement(a)))))
    | meet(b,join(X_490,meet(b,complement(a)))) != join(meet(b,X_490),meet(b,complement(a)))
    | meet(a,join(X_490,meet(b,complement(a)))) = meet(a,join(meet(b,X_490),meet(b,complement(a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,join(X_490,meet(b,complement(a)))),meet(a,meet(b,join(X_490,meet(b,complement(a)))))) ),[1,1],$fot(join(meet(b,X_490),meet(b,complement(a))))]]) ).

cnf(refute_0_3226,plain,
    ( meet(a,join(X_490,meet(b,complement(a)))) != meet(a,meet(b,join(X_490,meet(b,complement(a)))))
    | meet(a,join(X_490,meet(b,complement(a)))) = meet(a,join(meet(b,X_490),meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(meet(b,join(X_490,meet(b,complement(a)))),join(meet(b,X_490),meet(b,complement(a)))) )],[refute_0_3098,refute_0_3225]) ).

cnf(refute_0_3227,plain,
    meet(a,join(X_490,meet(b,complement(a)))) = meet(a,join(meet(b,X_490),meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(meet(a,join(X_490,meet(b,complement(a)))),meet(a,meet(b,join(X_490,meet(b,complement(a)))))) )],[refute_0_3224,refute_0_3226]) ).

cnf(refute_0_3228,plain,
    meet(a,join(meet(b,complement(a)),X_163)) = meet(a,meet(b,join(meet(b,complement(a)),X_163))),
    inference(subst,[],[refute_0_394:[bind(X_45,$fot(join(meet(b,complement(a)),X_163)))]]) ).

cnf(refute_0_3229,plain,
    ( meet(a,join(meet(b,complement(a)),X_163)) != meet(a,meet(b,join(meet(b,complement(a)),X_163)))
    | meet(b,join(meet(b,complement(a)),X_163)) != join(meet(b,X_163),meet(b,complement(a)))
    | meet(a,join(meet(b,complement(a)),X_163)) = meet(a,join(meet(b,X_163),meet(b,complement(a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,join(meet(b,complement(a)),X_163)),meet(a,meet(b,join(meet(b,complement(a)),X_163)))) ),[1,1],$fot(join(meet(b,X_163),meet(b,complement(a))))]]) ).

cnf(refute_0_3230,plain,
    ( meet(a,join(meet(b,complement(a)),X_163)) != meet(a,meet(b,join(meet(b,complement(a)),X_163)))
    | meet(a,join(meet(b,complement(a)),X_163)) = meet(a,join(meet(b,X_163),meet(b,complement(a)))) ),
    inference(resolve,[$cnf( $equal(meet(b,join(meet(b,complement(a)),X_163)),join(meet(b,X_163),meet(b,complement(a)))) )],[refute_0_333,refute_0_3229]) ).

cnf(refute_0_3231,plain,
    meet(a,join(meet(b,complement(a)),X_163)) = meet(a,join(meet(b,X_163),meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(meet(a,join(meet(b,complement(a)),X_163)),meet(a,meet(b,join(meet(b,complement(a)),X_163)))) )],[refute_0_3228,refute_0_3230]) ).

cnf(refute_0_3232,plain,
    ( meet(a,join(meet(b,complement(a)),X_163)) != meet(a,join(meet(b,X_163),meet(b,complement(a))))
    | meet(a,join(meet(b,X_163),meet(b,complement(a)))) = meet(a,join(meet(b,complement(a)),X_163)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(a,join(meet(b,complement(a)),X_163)))),bind(Y0,$fot(meet(a,join(meet(b,X_163),meet(b,complement(a))))))]]) ).

cnf(refute_0_3233,plain,
    meet(a,join(meet(b,X_163),meet(b,complement(a)))) = meet(a,join(meet(b,complement(a)),X_163)),
    inference(resolve,[$cnf( $equal(meet(a,join(meet(b,complement(a)),X_163)),meet(a,join(meet(b,X_163),meet(b,complement(a))))) )],[refute_0_3231,refute_0_3232]) ).

cnf(refute_0_3234,plain,
    meet(a,join(meet(b,X_490),meet(b,complement(a)))) = meet(a,join(meet(b,complement(a)),X_490)),
    inference(subst,[],[refute_0_3233:[bind(X_163,$fot(X_490))]]) ).

cnf(refute_0_3235,plain,
    ( meet(a,join(X_490,meet(b,complement(a)))) != meet(a,join(meet(b,X_490),meet(b,complement(a))))
    | meet(a,join(meet(b,X_490),meet(b,complement(a)))) != meet(a,join(meet(b,complement(a)),X_490))
    | meet(a,join(X_490,meet(b,complement(a)))) = meet(a,join(meet(b,complement(a)),X_490)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(a,join(X_490,meet(b,complement(a)))),meet(a,join(meet(b,complement(a)),X_490))) ),[0],$fot(meet(a,join(meet(b,X_490),meet(b,complement(a)))))]]) ).

cnf(refute_0_3236,plain,
    ( meet(a,join(X_490,meet(b,complement(a)))) != meet(a,join(meet(b,X_490),meet(b,complement(a))))
    | meet(a,join(X_490,meet(b,complement(a)))) = meet(a,join(meet(b,complement(a)),X_490)) ),
    inference(resolve,[$cnf( $equal(meet(a,join(meet(b,X_490),meet(b,complement(a)))),meet(a,join(meet(b,complement(a)),X_490))) )],[refute_0_3234,refute_0_3235]) ).

cnf(refute_0_3237,plain,
    meet(a,join(X_490,meet(b,complement(a)))) = meet(a,join(meet(b,complement(a)),X_490)),
    inference(resolve,[$cnf( $equal(meet(a,join(X_490,meet(b,complement(a)))),meet(a,join(meet(b,X_490),meet(b,complement(a))))) )],[refute_0_3227,refute_0_3236]) ).

cnf(refute_0_3238,plain,
    ( meet(a,join(X_490,meet(b,complement(a)))) != meet(a,join(meet(b,complement(a)),X_490))
    | meet(a,join(meet(b,complement(a)),X_490)) = meet(a,join(X_490,meet(b,complement(a)))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(a,join(X_490,meet(b,complement(a)))))),bind(Y0,$fot(meet(a,join(meet(b,complement(a)),X_490))))]]) ).

cnf(refute_0_3239,plain,
    meet(a,join(meet(b,complement(a)),X_490)) = meet(a,join(X_490,meet(b,complement(a)))),
    inference(resolve,[$cnf( $equal(meet(a,join(X_490,meet(b,complement(a)))),meet(a,join(meet(b,complement(a)),X_490))) )],[refute_0_3237,refute_0_3238]) ).

cnf(refute_0_3240,plain,
    meet(a,join(meet(b,complement(a)),complement(b))) = meet(a,join(complement(b),meet(b,complement(a)))),
    inference(subst,[],[refute_0_3239:[bind(X_490,$fot(complement(b)))]]) ).

cnf(refute_0_3241,plain,
    complement(meet(a,join(meet(b,complement(a)),complement(b)))) = complement(meet(a,join(meet(b,complement(a)),complement(b)))),
    introduced(tautology,[refl,[$fot(complement(meet(a,join(meet(b,complement(a)),complement(b)))))]]) ).

cnf(refute_0_3242,plain,
    ( complement(meet(a,join(meet(b,complement(a)),complement(b)))) != complement(meet(a,join(meet(b,complement(a)),complement(b))))
    | meet(a,join(meet(b,complement(a)),complement(b))) != meet(a,join(complement(b),meet(b,complement(a))))
    | complement(meet(a,join(meet(b,complement(a)),complement(b)))) = complement(meet(a,join(complement(b),meet(b,complement(a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(a,join(meet(b,complement(a)),complement(b)))),complement(meet(a,join(meet(b,complement(a)),complement(b))))) ),[1,0],$fot(meet(a,join(complement(b),meet(b,complement(a)))))]]) ).

cnf(refute_0_3243,plain,
    ( meet(a,join(meet(b,complement(a)),complement(b))) != meet(a,join(complement(b),meet(b,complement(a))))
    | complement(meet(a,join(meet(b,complement(a)),complement(b)))) = complement(meet(a,join(complement(b),meet(b,complement(a))))) ),
    inference(resolve,[$cnf( $equal(complement(meet(a,join(meet(b,complement(a)),complement(b)))),complement(meet(a,join(meet(b,complement(a)),complement(b))))) )],[refute_0_3241,refute_0_3242]) ).

cnf(refute_0_3244,plain,
    complement(meet(a,join(meet(b,complement(a)),complement(b)))) = complement(meet(a,join(complement(b),meet(b,complement(a))))),
    inference(resolve,[$cnf( $equal(meet(a,join(meet(b,complement(a)),complement(b))),meet(a,join(complement(b),meet(b,complement(a))))) )],[refute_0_3240,refute_0_3243]) ).

cnf(refute_0_3245,plain,
    join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))) = join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))),
    introduced(tautology,[refl,[$fot(join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))))]]) ).

cnf(refute_0_3246,plain,
    ( complement(meet(a,join(meet(b,complement(a)),complement(b)))) != complement(meet(a,join(complement(b),meet(b,complement(a)))))
    | join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))) != join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))
    | join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))) = join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) ),[1,1],$fot(complement(meet(a,join(complement(b),meet(b,complement(a))))))]]) ).

cnf(refute_0_3247,plain,
    ( complement(meet(a,join(meet(b,complement(a)),complement(b)))) != complement(meet(a,join(complement(b),meet(b,complement(a)))))
    | join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))) = join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) )],[refute_0_3245,refute_0_3246]) ).

cnf(refute_0_3248,plain,
    join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))) = join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))),
    inference(resolve,[$cnf( $equal(complement(meet(a,join(meet(b,complement(a)),complement(b)))),complement(meet(a,join(complement(b),meet(b,complement(a)))))) )],[refute_0_3244,refute_0_3247]) ).

cnf(refute_0_3249,plain,
    join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) = join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))),
    inference(subst,[],[refute_0_1415:[bind(Y,$fot(join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))))]]) ).

cnf(refute_0_3250,plain,
    ( join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))) != join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) != join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))
    | join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) = join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))))),bind(Y0,$fot(join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))))),bind(Z0,$fot(join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3251,plain,
    ( join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))) != join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) = join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) )],[refute_0_3249,refute_0_3250]) ).

cnf(refute_0_3252,plain,
    join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) = join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b))))),join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a))))))) )],[refute_0_3248,refute_0_3251]) ).

cnf(refute_0_3253,plain,
    ( join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) != join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) != one
    | join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))),one) ),[0],$fot(join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))))]]) ).

cnf(refute_0_3254,plain,
    ( join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))) != one
    | join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = one ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))),join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a))))))) )],[refute_0_3252,refute_0_3253]) ).

cnf(refute_0_3255,plain,
    join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = one,
    inference(resolve,[$cnf( $equal(join(zero,join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(b)))))),one) )],[refute_0_3223,refute_0_3254]) ).

cnf(refute_0_3256,plain,
    ( join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != one
    | join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) != one
    | join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),one) ),[0,1,1,0,1],$fot(one)]]) ).

cnf(refute_0_3257,plain,
    ( join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) != one
    | join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) = one ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))),one) )],[refute_0_3255,refute_0_3256]) ).

cnf(refute_0_3258,plain,
    join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) = one,
    inference(resolve,[$cnf( $equal(join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),one) )],[refute_0_3219,refute_0_3257]) ).

cnf(refute_0_3259,plain,
    join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(subst,[],[refute_0_561:[bind(Y,$fot(b)),bind(X_31,$fot(complement(a))),bind(X_33,$fot(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3260,plain,
    meet(a,one) = a,
    inference(subst,[],[refute_0_141:[bind(X_9,$fot(a))]]) ).

cnf(refute_0_3261,plain,
    complement(meet(a,one)) = complement(meet(a,one)),
    introduced(tautology,[refl,[$fot(complement(meet(a,one)))]]) ).

cnf(refute_0_3262,plain,
    ( complement(meet(a,one)) != complement(meet(a,one))
    | meet(a,one) != a
    | complement(meet(a,one)) = complement(a) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(a,one)),complement(meet(a,one))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_3263,plain,
    ( meet(a,one) != a
    | complement(meet(a,one)) = complement(a) ),
    inference(resolve,[$cnf( $equal(complement(meet(a,one)),complement(meet(a,one))) )],[refute_0_3261,refute_0_3262]) ).

cnf(refute_0_3264,plain,
    complement(meet(a,one)) = complement(a),
    inference(resolve,[$cnf( $equal(meet(a,one),a) )],[refute_0_3260,refute_0_3263]) ).

cnf(refute_0_3265,plain,
    join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    introduced(tautology,[refl,[$fot(join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3266,plain,
    ( complement(meet(a,one)) != complement(a)
    | join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),[1,0],$fot(complement(a))]]) ).

cnf(refute_0_3267,plain,
    ( complement(meet(a,one)) != complement(a)
    | join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3265,refute_0_3266]) ).

cnf(refute_0_3268,plain,
    join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(resolve,[$cnf( $equal(complement(meet(a,one)),complement(a)) )],[refute_0_3264,refute_0_3267]) ).

cnf(refute_0_3269,plain,
    ( join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(Y0,$fot(join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(Z0,$fot(join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3270,plain,
    ( join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3268,refute_0_3269]) ).

cnf(refute_0_3271,plain,
    join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(join(complement(a),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3259,refute_0_3270]) ).

cnf(refute_0_3272,plain,
    join(X_32,join(meet(b,X_456),X_33)) = join(X_32,join(X_33,meet(b,X_456))),
    inference(subst,[],[refute_0_286:[bind(X_103,$fot(meet(b,X_456)))]]) ).

cnf(refute_0_3273,plain,
    join(X_33,meet(b,X_456)) = join(X_33,meet(X_456,b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(X_33)),bind(X_331,$fot(X_456))]]) ).

cnf(refute_0_3274,plain,
    ( join(X_32,join(meet(b,X_456),X_33)) != join(X_32,join(X_33,meet(b,X_456)))
    | join(X_33,meet(b,X_456)) != join(X_33,meet(X_456,b))
    | join(X_32,join(meet(b,X_456),X_33)) = join(X_32,join(X_33,meet(X_456,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,join(meet(b,X_456),X_33)),join(X_32,join(X_33,meet(b,X_456)))) ),[1,1],$fot(join(X_33,meet(X_456,b)))]]) ).

cnf(refute_0_3275,plain,
    ( join(X_32,join(meet(b,X_456),X_33)) != join(X_32,join(X_33,meet(b,X_456)))
    | join(X_32,join(meet(b,X_456),X_33)) = join(X_32,join(X_33,meet(X_456,b))) ),
    inference(resolve,[$cnf( $equal(join(X_33,meet(b,X_456)),join(X_33,meet(X_456,b))) )],[refute_0_3273,refute_0_3274]) ).

cnf(refute_0_3276,plain,
    join(X_32,join(meet(b,X_456),X_33)) = join(X_32,join(X_33,meet(X_456,b))),
    inference(resolve,[$cnf( $equal(join(X_32,join(meet(b,X_456),X_33)),join(X_32,join(X_33,meet(b,X_456)))) )],[refute_0_3272,refute_0_3275]) ).

cnf(refute_0_3277,plain,
    ( join(X_32,join(meet(b,X_456),X_33)) != join(X_32,join(X_33,meet(X_456,b)))
    | join(X_32,join(X_33,meet(X_456,b))) = join(X_32,join(meet(b,X_456),X_33)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_32,join(meet(b,X_456),X_33)))),bind(Y0,$fot(join(X_32,join(X_33,meet(X_456,b)))))]]) ).

cnf(refute_0_3278,plain,
    join(X_32,join(X_33,meet(X_456,b))) = join(X_32,join(meet(b,X_456),X_33)),
    inference(resolve,[$cnf( $equal(join(X_32,join(meet(b,X_456),X_33)),join(X_32,join(X_33,meet(X_456,b)))) )],[refute_0_3276,refute_0_3277]) ).

cnf(refute_0_3279,plain,
    join(complement(meet(a,one)),join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),b))) = join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(subst,[],[refute_0_3278:[bind(X_32,$fot(complement(meet(a,one)))),bind(X_33,$fot(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),bind(X_456,$fot(complement(a)))]]) ).

cnf(refute_0_3280,plain,
    join(X,join(X_31,meet(b,X_456))) = join(X_31,join(meet(b,X_456),X)),
    inference(subst,[],[refute_0_167:[bind(X_32,$fot(meet(b,X_456)))]]) ).

cnf(refute_0_3281,plain,
    join(X_31,meet(b,X_456)) = join(X_31,meet(X_456,b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(X_31)),bind(X_331,$fot(X_456))]]) ).

cnf(refute_0_3282,plain,
    ( join(X,join(X_31,meet(b,X_456))) != join(X_31,join(meet(b,X_456),X))
    | join(X_31,meet(b,X_456)) != join(X_31,meet(X_456,b))
    | join(X,join(X_31,meet(X_456,b))) = join(X_31,join(meet(b,X_456),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(X_31,meet(b,X_456))),join(X_31,join(meet(b,X_456),X))) ),[0,1],$fot(join(X_31,meet(X_456,b)))]]) ).

cnf(refute_0_3283,plain,
    ( join(X,join(X_31,meet(b,X_456))) != join(X_31,join(meet(b,X_456),X))
    | join(X,join(X_31,meet(X_456,b))) = join(X_31,join(meet(b,X_456),X)) ),
    inference(resolve,[$cnf( $equal(join(X_31,meet(b,X_456)),join(X_31,meet(X_456,b))) )],[refute_0_3281,refute_0_3282]) ).

cnf(refute_0_3284,plain,
    join(X,join(X_31,meet(X_456,b))) = join(X_31,join(meet(b,X_456),X)),
    inference(resolve,[$cnf( $equal(join(X,join(X_31,meet(b,X_456))),join(X_31,join(meet(b,X_456),X))) )],[refute_0_3280,refute_0_3283]) ).

cnf(refute_0_3285,plain,
    ( join(X,join(X_31,meet(X_456,b))) != join(X_31,join(meet(b,X_456),X))
    | join(X_31,join(meet(b,X_456),X)) = join(X,join(X_31,meet(X_456,b))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X,join(X_31,meet(X_456,b))))),bind(Y0,$fot(join(X_31,join(meet(b,X_456),X))))]]) ).

cnf(refute_0_3286,plain,
    join(X_31,join(meet(b,X_456),X)) = join(X,join(X_31,meet(X_456,b))),
    inference(resolve,[$cnf( $equal(join(X,join(X_31,meet(X_456,b))),join(X_31,join(meet(b,X_456),X))) )],[refute_0_3284,refute_0_3285]) ).

cnf(refute_0_3287,plain,
    join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) = join(complement(meet(a,one)),join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),b))),
    inference(subst,[],[refute_0_3286:[bind(X,$fot(complement(meet(a,one)))),bind(X_31,$fot(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),bind(X_456,$fot(complement(a)))]]) ).

cnf(refute_0_3288,plain,
    ( join(complement(meet(a,one)),join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),b))) != join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) != join(complement(meet(a,one)),join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),b)))
    | join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) = join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))))),bind(Y0,$fot(join(complement(meet(a,one)),join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),b))))),bind(Z0,$fot(join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))))]]) ).

cnf(refute_0_3289,plain,
    ( join(complement(meet(a,one)),join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),b))) != join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) = join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))),join(complement(meet(a,one)),join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),b)))) )],[refute_0_3287,refute_0_3288]) ).

cnf(refute_0_3290,plain,
    join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) = join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(resolve,[$cnf( $equal(join(complement(meet(a,one)),join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),b))),join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3279,refute_0_3289]) ).

cnf(refute_0_3291,plain,
    ( join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) != join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) = join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))))),bind(Y0,$fot(join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(Z0,$fot(join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3292,plain,
    ( join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) = join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))),join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3290,refute_0_3291]) ).

cnf(refute_0_3293,plain,
    join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) = join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(join(complement(meet(a,one)),join(meet(b,complement(a)),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3271,refute_0_3292]) ).

cnf(refute_0_3294,plain,
    ( join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) != join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) != one
    | join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))),one) ),[0],$fot(join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3295,plain,
    ( join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))) != one
    | join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) = one ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))),join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3293,refute_0_3294]) ).

cnf(refute_0_3296,plain,
    join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) = one,
    inference(resolve,[$cnf( $equal(join(meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(meet(b,complement(a)),complement(meet(a,one)))),one) )],[refute_0_3258,refute_0_3295]) ).

cnf(refute_0_3297,plain,
    ( join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) != one
    | meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))
    | meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))) ),[1,1,1,1,1],$fot(one)]]) ).

cnf(refute_0_3298,plain,
    ( meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))
    | meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))) ),
    inference(resolve,[$cnf( $equal(join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),one) )],[refute_0_3296,refute_0_3297]) ).

cnf(refute_0_3299,plain,
    meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))),
    inference(resolve,[$cnf( $equal(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),join(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))) )],[refute_0_3183,refute_0_3298]) ).

cnf(refute_0_3300,plain,
    meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(subst,[],[refute_0_360:[bind(X_15,$fot(complement(meet(a,join(complement(b),meet(b,complement(a))))))),bind(X_74,$fot(complement(a))),bind(X_75,$fot(b))]]) ).

cnf(refute_0_3301,plain,
    ( meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one))))
    | meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one))))) ),[0],$fot(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3302,plain,
    ( meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one))))
    | meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3300,refute_0_3301]) ).

cnf(refute_0_3303,plain,
    meet(join(a,X_588),meet(X_43,X_44)) = meet(X_43,meet(X_44,join(a,X_588))),
    inference(subst,[],[refute_0_59:[bind(X,$fot(join(a,X_588)))]]) ).

cnf(refute_0_3304,plain,
    meet(join(a,X_588),meet(X_43,X_44)) = meet(meet(X_43,X_44),join(X_588,a)),
    inference(subst,[],[refute_0_1781:[bind(Y,$fot(meet(X_43,X_44))),bind(X_518,$fot(X_588))]]) ).

cnf(refute_0_3305,plain,
    ( meet(join(a,X_588),meet(X_43,X_44)) != meet(X_43,meet(X_44,join(a,X_588)))
    | meet(join(a,X_588),meet(X_43,X_44)) != meet(meet(X_43,X_44),join(X_588,a))
    | meet(meet(X_43,X_44),join(X_588,a)) = meet(X_43,meet(X_44,join(a,X_588))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_588),meet(X_43,X_44)),meet(X_43,meet(X_44,join(a,X_588)))) ),[0],$fot(meet(meet(X_43,X_44),join(X_588,a)))]]) ).

cnf(refute_0_3306,plain,
    ( meet(join(a,X_588),meet(X_43,X_44)) != meet(X_43,meet(X_44,join(a,X_588)))
    | meet(meet(X_43,X_44),join(X_588,a)) = meet(X_43,meet(X_44,join(a,X_588))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_588),meet(X_43,X_44)),meet(meet(X_43,X_44),join(X_588,a))) )],[refute_0_3304,refute_0_3305]) ).

cnf(refute_0_3307,plain,
    meet(meet(X_43,X_44),join(X_588,a)) = meet(X_43,meet(X_44,join(a,X_588))),
    inference(resolve,[$cnf( $equal(meet(join(a,X_588),meet(X_43,X_44)),meet(X_43,meet(X_44,join(a,X_588)))) )],[refute_0_3303,refute_0_3306]) ).

cnf(refute_0_3308,plain,
    meet(meet(X_43,X_44),join(X_588,a)) = meet(X_43,meet(X_44,join(X_588,a))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(join(X_588,a)))]]) ).

cnf(refute_0_3309,plain,
    ( meet(meet(X_43,X_44),join(X_588,a)) != meet(X_43,meet(X_44,join(X_588,a)))
    | meet(meet(X_43,X_44),join(X_588,a)) != meet(X_43,meet(X_44,join(a,X_588)))
    | meet(X_43,meet(X_44,join(X_588,a))) = meet(X_43,meet(X_44,join(a,X_588))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,X_44),join(X_588,a)),meet(X_43,meet(X_44,join(a,X_588)))) ),[0],$fot(meet(X_43,meet(X_44,join(X_588,a))))]]) ).

cnf(refute_0_3310,plain,
    ( meet(meet(X_43,X_44),join(X_588,a)) != meet(X_43,meet(X_44,join(a,X_588)))
    | meet(X_43,meet(X_44,join(X_588,a))) = meet(X_43,meet(X_44,join(a,X_588))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),join(X_588,a)),meet(X_43,meet(X_44,join(X_588,a)))) )],[refute_0_3308,refute_0_3309]) ).

cnf(refute_0_3311,plain,
    meet(X_43,meet(X_44,join(X_588,a))) = meet(X_43,meet(X_44,join(a,X_588))),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,X_44),join(X_588,a)),meet(X_43,meet(X_44,join(a,X_588)))) )],[refute_0_3307,refute_0_3310]) ).

cnf(refute_0_3312,plain,
    meet(b,meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(subst,[],[refute_0_3311:[bind(X_43,$fot(b)),bind(X_44,$fot(complement(a))),bind(X_588,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3313,plain,
    meet(X_10,meet(join(a,X_588),meet(X_44,X_10))) = meet(X_10,meet(join(a,X_588),X_44)),
    inference(subst,[],[refute_0_526:[bind(X_43,$fot(join(a,X_588)))]]) ).

cnf(refute_0_3314,plain,
    meet(join(a,X_588),meet(X_44,X_10)) = meet(meet(X_44,X_10),join(X_588,a)),
    inference(subst,[],[refute_0_1781:[bind(Y,$fot(meet(X_44,X_10))),bind(X_518,$fot(X_588))]]) ).

cnf(refute_0_3315,plain,
    ( meet(X_10,meet(join(a,X_588),meet(X_44,X_10))) != meet(X_10,meet(join(a,X_588),X_44))
    | meet(join(a,X_588),meet(X_44,X_10)) != meet(meet(X_44,X_10),join(X_588,a))
    | meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) = meet(X_10,meet(join(a,X_588),X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_10,meet(join(a,X_588),meet(X_44,X_10))),meet(X_10,meet(join(a,X_588),X_44))) ),[0,1],$fot(meet(meet(X_44,X_10),join(X_588,a)))]]) ).

cnf(refute_0_3316,plain,
    ( meet(X_10,meet(join(a,X_588),meet(X_44,X_10))) != meet(X_10,meet(join(a,X_588),X_44))
    | meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) = meet(X_10,meet(join(a,X_588),X_44)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_588),meet(X_44,X_10)),meet(meet(X_44,X_10),join(X_588,a))) )],[refute_0_3314,refute_0_3315]) ).

cnf(refute_0_3317,plain,
    meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) = meet(X_10,meet(join(a,X_588),X_44)),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(join(a,X_588),meet(X_44,X_10))),meet(X_10,meet(join(a,X_588),X_44))) )],[refute_0_3313,refute_0_3316]) ).

cnf(refute_0_3318,plain,
    meet(X_10,meet(X_44,meet(X_10,join(X_588,a)))) = meet(X_10,meet(X_44,join(X_588,a))),
    inference(subst,[],[refute_0_84:[bind(X_15,$fot(X_44)),bind(X_43,$fot(X_10)),bind(X_45,$fot(join(X_588,a)))]]) ).

cnf(refute_0_3319,plain,
    meet(meet(X_44,X_10),join(X_588,a)) = meet(X_44,meet(X_10,join(X_588,a))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_44)),bind(Y,$fot(X_10)),bind(Z,$fot(join(X_588,a)))]]) ).

cnf(refute_0_3320,plain,
    meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) = meet(X_10,meet(meet(X_44,X_10),join(X_588,a))),
    introduced(tautology,[refl,[$fot(meet(X_10,meet(meet(X_44,X_10),join(X_588,a))))]]) ).

cnf(refute_0_3321,plain,
    ( meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) != meet(X_10,meet(meet(X_44,X_10),join(X_588,a)))
    | meet(meet(X_44,X_10),join(X_588,a)) != meet(X_44,meet(X_10,join(X_588,a)))
    | meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) = meet(X_10,meet(X_44,meet(X_10,join(X_588,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_10,meet(meet(X_44,X_10),join(X_588,a))),meet(X_10,meet(meet(X_44,X_10),join(X_588,a)))) ),[1,1],$fot(meet(X_44,meet(X_10,join(X_588,a))))]]) ).

cnf(refute_0_3322,plain,
    ( meet(meet(X_44,X_10),join(X_588,a)) != meet(X_44,meet(X_10,join(X_588,a)))
    | meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) = meet(X_10,meet(X_44,meet(X_10,join(X_588,a)))) ),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(meet(X_44,X_10),join(X_588,a))),meet(X_10,meet(meet(X_44,X_10),join(X_588,a)))) )],[refute_0_3320,refute_0_3321]) ).

cnf(refute_0_3323,plain,
    meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) = meet(X_10,meet(X_44,meet(X_10,join(X_588,a)))),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,X_10),join(X_588,a)),meet(X_44,meet(X_10,join(X_588,a)))) )],[refute_0_3319,refute_0_3322]) ).

cnf(refute_0_3324,plain,
    ( meet(X_10,meet(X_44,meet(X_10,join(X_588,a)))) != meet(X_10,meet(X_44,join(X_588,a)))
    | meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) != meet(X_10,meet(X_44,meet(X_10,join(X_588,a))))
    | meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) = meet(X_10,meet(X_44,join(X_588,a))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_10,meet(meet(X_44,X_10),join(X_588,a))))),bind(Y0,$fot(meet(X_10,meet(X_44,meet(X_10,join(X_588,a)))))),bind(Z0,$fot(meet(X_10,meet(X_44,join(X_588,a)))))]]) ).

cnf(refute_0_3325,plain,
    ( meet(X_10,meet(X_44,meet(X_10,join(X_588,a)))) != meet(X_10,meet(X_44,join(X_588,a)))
    | meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) = meet(X_10,meet(X_44,join(X_588,a))) ),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(meet(X_44,X_10),join(X_588,a))),meet(X_10,meet(X_44,meet(X_10,join(X_588,a))))) )],[refute_0_3323,refute_0_3324]) ).

cnf(refute_0_3326,plain,
    meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) = meet(X_10,meet(X_44,join(X_588,a))),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(X_44,meet(X_10,join(X_588,a)))),meet(X_10,meet(X_44,join(X_588,a)))) )],[refute_0_3318,refute_0_3325]) ).

cnf(refute_0_3327,plain,
    ( meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) != meet(X_10,meet(X_44,join(X_588,a)))
    | meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) != meet(X_10,meet(join(a,X_588),X_44))
    | meet(X_10,meet(X_44,join(X_588,a))) = meet(X_10,meet(join(a,X_588),X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_10,meet(meet(X_44,X_10),join(X_588,a))),meet(X_10,meet(join(a,X_588),X_44))) ),[0],$fot(meet(X_10,meet(X_44,join(X_588,a))))]]) ).

cnf(refute_0_3328,plain,
    ( meet(X_10,meet(meet(X_44,X_10),join(X_588,a))) != meet(X_10,meet(join(a,X_588),X_44))
    | meet(X_10,meet(X_44,join(X_588,a))) = meet(X_10,meet(join(a,X_588),X_44)) ),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(meet(X_44,X_10),join(X_588,a))),meet(X_10,meet(X_44,join(X_588,a)))) )],[refute_0_3326,refute_0_3327]) ).

cnf(refute_0_3329,plain,
    meet(X_10,meet(X_44,join(X_588,a))) = meet(X_10,meet(join(a,X_588),X_44)),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(meet(X_44,X_10),join(X_588,a))),meet(X_10,meet(join(a,X_588),X_44))) )],[refute_0_3317,refute_0_3328]) ).

cnf(refute_0_3330,plain,
    ( meet(X_10,meet(X_44,join(X_588,a))) != meet(X_10,meet(join(a,X_588),X_44))
    | meet(X_10,meet(join(a,X_588),X_44)) = meet(X_10,meet(X_44,join(X_588,a))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_10,meet(X_44,join(X_588,a))))),bind(Y0,$fot(meet(X_10,meet(join(a,X_588),X_44))))]]) ).

cnf(refute_0_3331,plain,
    meet(X_10,meet(join(a,X_588),X_44)) = meet(X_10,meet(X_44,join(X_588,a))),
    inference(resolve,[$cnf( $equal(meet(X_10,meet(X_44,join(X_588,a))),meet(X_10,meet(join(a,X_588),X_44))) )],[refute_0_3329,refute_0_3330]) ).

cnf(refute_0_3332,plain,
    meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) = meet(b,meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a))),
    inference(subst,[],[refute_0_3331:[bind(X_10,$fot(b)),bind(X_44,$fot(complement(a))),bind(X_588,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3333,plain,
    ( meet(b,meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) != meet(b,meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)))
    | meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))))),bind(Y0,$fot(meet(b,meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a))))),bind(Z0,$fot(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))]]) ).

cnf(refute_0_3334,plain,
    ( meet(b,meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))),meet(b,meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)))) )],[refute_0_3332,refute_0_3333]) ).

cnf(refute_0_3335,plain,
    meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3312,refute_0_3334]) ).

cnf(refute_0_3336,plain,
    meet(X_43,meet(join(X_588,a),X_45)) = meet(X_43,meet(X_45,join(X_588,a))),
    inference(subst,[],[refute_0_415:[bind(X_44,$fot(join(X_588,a)))]]) ).

cnf(refute_0_3337,plain,
    meet(join(a,X_588),X_45) = meet(X_45,join(X_588,a)),
    inference(subst,[],[refute_0_1781:[bind(Y,$fot(X_45)),bind(X_518,$fot(X_588))]]) ).

cnf(refute_0_3338,plain,
    ( meet(join(a,X_588),X_45) != meet(X_45,join(X_588,a))
    | meet(X_45,join(X_588,a)) = meet(join(a,X_588),X_45) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(join(a,X_588),X_45))),bind(Y0,$fot(meet(X_45,join(X_588,a))))]]) ).

cnf(refute_0_3339,plain,
    meet(X_45,join(X_588,a)) = meet(join(a,X_588),X_45),
    inference(resolve,[$cnf( $equal(meet(join(a,X_588),X_45),meet(X_45,join(X_588,a))) )],[refute_0_3337,refute_0_3338]) ).

cnf(refute_0_3340,plain,
    ( meet(X_43,meet(join(X_588,a),X_45)) != meet(X_43,meet(X_45,join(X_588,a)))
    | meet(X_45,join(X_588,a)) != meet(join(a,X_588),X_45)
    | meet(X_43,meet(join(X_588,a),X_45)) = meet(X_43,meet(join(a,X_588),X_45)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(join(X_588,a),X_45)),meet(X_43,meet(X_45,join(X_588,a)))) ),[1,1],$fot(meet(join(a,X_588),X_45))]]) ).

cnf(refute_0_3341,plain,
    ( meet(X_43,meet(join(X_588,a),X_45)) != meet(X_43,meet(X_45,join(X_588,a)))
    | meet(X_43,meet(join(X_588,a),X_45)) = meet(X_43,meet(join(a,X_588),X_45)) ),
    inference(resolve,[$cnf( $equal(meet(X_45,join(X_588,a)),meet(join(a,X_588),X_45)) )],[refute_0_3339,refute_0_3340]) ).

cnf(refute_0_3342,plain,
    meet(X_43,meet(join(X_588,a),X_45)) = meet(X_43,meet(join(a,X_588),X_45)),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(join(X_588,a),X_45)),meet(X_43,meet(X_45,join(X_588,a)))) )],[refute_0_3336,refute_0_3341]) ).

cnf(refute_0_3343,plain,
    meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))) = meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))),
    inference(subst,[],[refute_0_3342:[bind(X_43,$fot(b)),bind(X_45,$fot(complement(a))),bind(X_588,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3344,plain,
    ( meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))) != meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)))
    | meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))))),bind(Y0,$fot(meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))))),bind(Z0,$fot(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))]]) ).

cnf(refute_0_3345,plain,
    ( meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))),meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)))) )],[refute_0_3343,refute_0_3344]) ).

cnf(refute_0_3346,plain,
    meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3335,refute_0_3345]) ).

cnf(refute_0_3347,plain,
    meet(join(a,X_588),meet(X_43,b)) = meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))),
    inference(subst,[],[refute_0_1686:[bind(X,$fot(join(a,X_588)))]]) ).

cnf(refute_0_3348,plain,
    meet(join(a,X_588),meet(X_43,b)) = meet(meet(X_43,b),join(X_588,a)),
    inference(subst,[],[refute_0_1781:[bind(Y,$fot(meet(X_43,b))),bind(X_518,$fot(X_588))]]) ).

cnf(refute_0_3349,plain,
    ( meet(join(a,X_588),meet(X_43,b)) != meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))
    | meet(join(a,X_588),meet(X_43,b)) != meet(meet(X_43,b),join(X_588,a))
    | meet(meet(X_43,b),join(X_588,a)) = meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_588),meet(X_43,b)),meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))) ),[0],$fot(meet(meet(X_43,b),join(X_588,a)))]]) ).

cnf(refute_0_3350,plain,
    ( meet(join(a,X_588),meet(X_43,b)) != meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))
    | meet(meet(X_43,b),join(X_588,a)) = meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,X_588),meet(X_43,b)),meet(meet(X_43,b),join(X_588,a))) )],[refute_0_3348,refute_0_3349]) ).

cnf(refute_0_3351,plain,
    meet(meet(X_43,b),join(X_588,a)) = meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))),
    inference(resolve,[$cnf( $equal(meet(join(a,X_588),meet(X_43,b)),meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))) )],[refute_0_3347,refute_0_3350]) ).

cnf(refute_0_3352,plain,
    meet(b,join(Y,a)) = meet(b,meet(join(b,Y),join(Y,a))),
    inference(subst,[],[refute_0_1519:[bind(X_43,$fot(b)),bind(X_45,$fot(join(Y,a)))]]) ).

cnf(refute_0_3353,plain,
    join(meet(join(b,X_254),join(X_254,a)),meet(join(X_254,a),join(b,X_254))) = meet(join(b,X_254),join(X_254,a)),
    inference(subst,[],[refute_0_889:[bind(X_15,$fot(join(b,X_254))),bind(X_28,$fot(join(X_254,a)))]]) ).

cnf(refute_0_3354,plain,
    meet(join(X_254,a),join(b,X_254)) = join(X_254,a),
    inference(subst,[],[refute_0_1751:[bind(X_252,$fot(X_254))]]) ).

cnf(refute_0_3355,plain,
    ( join(meet(join(b,X_254),join(X_254,a)),meet(join(X_254,a),join(b,X_254))) != meet(join(b,X_254),join(X_254,a))
    | meet(join(X_254,a),join(b,X_254)) != join(X_254,a)
    | join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) = meet(join(b,X_254),join(X_254,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(join(b,X_254),join(X_254,a)),meet(join(X_254,a),join(b,X_254))),meet(join(b,X_254),join(X_254,a))) ),[0,1],$fot(join(X_254,a))]]) ).

cnf(refute_0_3356,plain,
    ( join(meet(join(b,X_254),join(X_254,a)),meet(join(X_254,a),join(b,X_254))) != meet(join(b,X_254),join(X_254,a))
    | join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) = meet(join(b,X_254),join(X_254,a)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_254,a),join(b,X_254)),join(X_254,a)) )],[refute_0_3354,refute_0_3355]) ).

cnf(refute_0_3357,plain,
    join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) = meet(join(b,X_254),join(X_254,a)),
    inference(resolve,[$cnf( $equal(join(meet(join(b,X_254),join(X_254,a)),meet(join(X_254,a),join(b,X_254))),meet(join(b,X_254),join(X_254,a))) )],[refute_0_3353,refute_0_3356]) ).

cnf(refute_0_3358,plain,
    join(join(X_185,X_186),meet(X_43,meet(join(X_186,X_185),join(X_185,X_186)))) = join(X_185,X_186),
    inference(subst,[],[refute_0_2473:[bind(X,$fot(join(X_185,X_186))),bind(X_44,$fot(join(X_186,X_185)))]]) ).

cnf(refute_0_3359,plain,
    ( join(join(X_185,X_186),meet(X_43,meet(join(X_186,X_185),join(X_185,X_186)))) != join(X_185,X_186)
    | meet(join(X_186,X_185),join(X_185,X_186)) != join(X_186,X_185)
    | join(join(X_185,X_186),meet(X_43,join(X_186,X_185))) = join(X_185,X_186) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_185,X_186),meet(X_43,meet(join(X_186,X_185),join(X_185,X_186)))),join(X_185,X_186)) ),[0,1,1],$fot(join(X_186,X_185))]]) ).

cnf(refute_0_3360,plain,
    ( join(join(X_185,X_186),meet(X_43,meet(join(X_186,X_185),join(X_185,X_186)))) != join(X_185,X_186)
    | join(join(X_185,X_186),meet(X_43,join(X_186,X_185))) = join(X_185,X_186) ),
    inference(resolve,[$cnf( $equal(meet(join(X_186,X_185),join(X_185,X_186)),join(X_186,X_185)) )],[refute_0_735,refute_0_3359]) ).

cnf(refute_0_3361,plain,
    join(join(X_185,X_186),meet(X_43,join(X_186,X_185))) = join(X_185,X_186),
    inference(resolve,[$cnf( $equal(join(join(X_185,X_186),meet(X_43,meet(join(X_186,X_185),join(X_185,X_186)))),join(X_185,X_186)) )],[refute_0_3358,refute_0_3360]) ).

cnf(refute_0_3362,plain,
    join(join(X_185,X_186),meet(X_43,join(X_186,X_185))) = join(X_185,join(X_186,meet(X_43,join(X_186,X_185)))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_185)),bind(Y,$fot(X_186)),bind(Z,$fot(meet(X_43,join(X_186,X_185))))]]) ).

cnf(refute_0_3363,plain,
    ( join(join(X_185,X_186),meet(X_43,join(X_186,X_185))) != join(X_185,X_186)
    | join(join(X_185,X_186),meet(X_43,join(X_186,X_185))) != join(X_185,join(X_186,meet(X_43,join(X_186,X_185))))
    | join(X_185,join(X_186,meet(X_43,join(X_186,X_185)))) = join(X_185,X_186) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_185,X_186),meet(X_43,join(X_186,X_185))),join(X_185,X_186)) ),[0],$fot(join(X_185,join(X_186,meet(X_43,join(X_186,X_185)))))]]) ).

cnf(refute_0_3364,plain,
    ( join(join(X_185,X_186),meet(X_43,join(X_186,X_185))) != join(X_185,X_186)
    | join(X_185,join(X_186,meet(X_43,join(X_186,X_185)))) = join(X_185,X_186) ),
    inference(resolve,[$cnf( $equal(join(join(X_185,X_186),meet(X_43,join(X_186,X_185))),join(X_185,join(X_186,meet(X_43,join(X_186,X_185))))) )],[refute_0_3362,refute_0_3363]) ).

cnf(refute_0_3365,plain,
    join(X_185,join(X_186,meet(X_43,join(X_186,X_185)))) = join(X_185,X_186),
    inference(resolve,[$cnf( $equal(join(join(X_185,X_186),meet(X_43,join(X_186,X_185))),join(X_185,X_186)) )],[refute_0_3361,refute_0_3364]) ).

cnf(refute_0_3366,plain,
    join(a,join(X_254,meet(join(b,X_254),join(X_254,a)))) = join(a,X_254),
    inference(subst,[],[refute_0_3365:[bind(X_185,$fot(a)),bind(X_186,$fot(X_254)),bind(X_43,$fot(join(b,X_254)))]]) ).

cnf(refute_0_3367,plain,
    join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) = join(a,join(X_254,meet(join(b,X_254),join(X_254,a)))),
    inference(subst,[],[refute_0_307:[bind(Y,$fot(a)),bind(X_154,$fot(meet(join(b,X_254),join(X_254,a)))),bind(X_155,$fot(X_254))]]) ).

cnf(refute_0_3368,plain,
    ( join(a,join(X_254,meet(join(b,X_254),join(X_254,a)))) != join(a,X_254)
    | join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) != join(a,join(X_254,meet(join(b,X_254),join(X_254,a))))
    | join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) = join(a,X_254) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)))),bind(Y0,$fot(join(a,join(X_254,meet(join(b,X_254),join(X_254,a)))))),bind(Z0,$fot(join(a,X_254)))]]) ).

cnf(refute_0_3369,plain,
    ( join(a,join(X_254,meet(join(b,X_254),join(X_254,a)))) != join(a,X_254)
    | join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) = join(a,X_254) ),
    inference(resolve,[$cnf( $equal(join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)),join(a,join(X_254,meet(join(b,X_254),join(X_254,a))))) )],[refute_0_3367,refute_0_3368]) ).

cnf(refute_0_3370,plain,
    join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) = join(a,X_254),
    inference(resolve,[$cnf( $equal(join(a,join(X_254,meet(join(b,X_254),join(X_254,a)))),join(a,X_254)) )],[refute_0_3366,refute_0_3369]) ).

cnf(refute_0_3371,plain,
    ( join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) != join(a,X_254)
    | join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) != meet(join(b,X_254),join(X_254,a))
    | join(a,X_254) = meet(join(b,X_254),join(X_254,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)),meet(join(b,X_254),join(X_254,a))) ),[0],$fot(join(a,X_254))]]) ).

cnf(refute_0_3372,plain,
    ( join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)) != meet(join(b,X_254),join(X_254,a))
    | join(a,X_254) = meet(join(b,X_254),join(X_254,a)) ),
    inference(resolve,[$cnf( $equal(join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)),join(a,X_254)) )],[refute_0_3370,refute_0_3371]) ).

cnf(refute_0_3373,plain,
    join(a,X_254) = meet(join(b,X_254),join(X_254,a)),
    inference(resolve,[$cnf( $equal(join(meet(join(b,X_254),join(X_254,a)),join(X_254,a)),meet(join(b,X_254),join(X_254,a))) )],[refute_0_3357,refute_0_3372]) ).

cnf(refute_0_3374,plain,
    join(a,Y) = meet(join(b,Y),join(Y,a)),
    inference(subst,[],[refute_0_3373:[bind(X_254,$fot(Y))]]) ).

cnf(refute_0_3375,plain,
    ( join(a,Y) != meet(join(b,Y),join(Y,a))
    | meet(join(b,Y),join(Y,a)) = join(a,Y) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(a,Y))),bind(Y0,$fot(meet(join(b,Y),join(Y,a))))]]) ).

cnf(refute_0_3376,plain,
    meet(join(b,Y),join(Y,a)) = join(a,Y),
    inference(resolve,[$cnf( $equal(join(a,Y),meet(join(b,Y),join(Y,a))) )],[refute_0_3374,refute_0_3375]) ).

cnf(refute_0_3377,plain,
    ( meet(b,join(Y,a)) != meet(b,meet(join(b,Y),join(Y,a)))
    | meet(join(b,Y),join(Y,a)) != join(a,Y)
    | meet(b,join(Y,a)) = meet(b,join(a,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,join(Y,a)),meet(b,meet(join(b,Y),join(Y,a)))) ),[1,1],$fot(join(a,Y))]]) ).

cnf(refute_0_3378,plain,
    ( meet(b,join(Y,a)) != meet(b,meet(join(b,Y),join(Y,a)))
    | meet(b,join(Y,a)) = meet(b,join(a,Y)) ),
    inference(resolve,[$cnf( $equal(meet(join(b,Y),join(Y,a)),join(a,Y)) )],[refute_0_3376,refute_0_3377]) ).

cnf(refute_0_3379,plain,
    meet(b,join(Y,a)) = meet(b,join(a,Y)),
    inference(resolve,[$cnf( $equal(meet(b,join(Y,a)),meet(b,meet(join(b,Y),join(Y,a)))) )],[refute_0_3352,refute_0_3378]) ).

cnf(refute_0_3380,plain,
    ( meet(b,join(Y,a)) != meet(b,join(a,Y))
    | meet(b,join(a,Y)) != join(a,meet(b,Y))
    | meet(b,join(Y,a)) = join(a,meet(b,Y)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,join(Y,a)),join(a,meet(b,Y))) ),[0],$fot(meet(b,join(a,Y)))]]) ).

cnf(refute_0_3381,plain,
    ( meet(b,join(Y,a)) != meet(b,join(a,Y))
    | meet(b,join(Y,a)) = join(a,meet(b,Y)) ),
    inference(resolve,[$cnf( $equal(meet(b,join(a,Y)),join(a,meet(b,Y))) )],[refute_0_1627,refute_0_3380]) ).

cnf(refute_0_3382,plain,
    meet(b,join(Y,a)) = join(a,meet(b,Y)),
    inference(resolve,[$cnf( $equal(meet(b,join(Y,a)),meet(b,join(a,Y))) )],[refute_0_3379,refute_0_3381]) ).

cnf(refute_0_3383,plain,
    meet(b,join(X_588,a)) = join(a,meet(b,X_588)),
    inference(subst,[],[refute_0_3382:[bind(Y,$fot(X_588))]]) ).

cnf(refute_0_3384,plain,
    meet(X_43,meet(b,join(X_588,a))) = meet(X_43,meet(b,join(X_588,a))),
    introduced(tautology,[refl,[$fot(meet(X_43,meet(b,join(X_588,a))))]]) ).

cnf(refute_0_3385,plain,
    ( meet(X_43,meet(b,join(X_588,a))) != meet(X_43,meet(b,join(X_588,a)))
    | meet(b,join(X_588,a)) != join(a,meet(b,X_588))
    | meet(X_43,meet(b,join(X_588,a))) = meet(X_43,join(a,meet(b,X_588))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_43,meet(b,join(X_588,a))),meet(X_43,meet(b,join(X_588,a)))) ),[1,1],$fot(join(a,meet(b,X_588)))]]) ).

cnf(refute_0_3386,plain,
    ( meet(b,join(X_588,a)) != join(a,meet(b,X_588))
    | meet(X_43,meet(b,join(X_588,a))) = meet(X_43,join(a,meet(b,X_588))) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(b,join(X_588,a))),meet(X_43,meet(b,join(X_588,a)))) )],[refute_0_3384,refute_0_3385]) ).

cnf(refute_0_3387,plain,
    meet(X_43,meet(b,join(X_588,a))) = meet(X_43,join(a,meet(b,X_588))),
    inference(resolve,[$cnf( $equal(meet(b,join(X_588,a)),join(a,meet(b,X_588))) )],[refute_0_3383,refute_0_3386]) ).

cnf(refute_0_3388,plain,
    meet(meet(X_43,b),join(X_588,a)) = meet(X_43,meet(b,join(X_588,a))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_43)),bind(Y,$fot(b)),bind(Z,$fot(join(X_588,a)))]]) ).

cnf(refute_0_3389,plain,
    ( meet(X_43,meet(b,join(X_588,a))) != meet(X_43,join(a,meet(b,X_588)))
    | meet(meet(X_43,b),join(X_588,a)) != meet(X_43,meet(b,join(X_588,a)))
    | meet(meet(X_43,b),join(X_588,a)) = meet(X_43,join(a,meet(b,X_588))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(meet(X_43,b),join(X_588,a)))),bind(Y0,$fot(meet(X_43,meet(b,join(X_588,a))))),bind(Z0,$fot(meet(X_43,join(a,meet(b,X_588)))))]]) ).

cnf(refute_0_3390,plain,
    ( meet(X_43,meet(b,join(X_588,a))) != meet(X_43,join(a,meet(b,X_588)))
    | meet(meet(X_43,b),join(X_588,a)) = meet(X_43,join(a,meet(b,X_588))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,b),join(X_588,a)),meet(X_43,meet(b,join(X_588,a)))) )],[refute_0_3388,refute_0_3389]) ).

cnf(refute_0_3391,plain,
    meet(meet(X_43,b),join(X_588,a)) = meet(X_43,join(a,meet(b,X_588))),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(b,join(X_588,a))),meet(X_43,join(a,meet(b,X_588)))) )],[refute_0_3387,refute_0_3390]) ).

cnf(refute_0_3392,plain,
    ( meet(meet(X_43,b),join(X_588,a)) != meet(X_43,join(a,meet(b,X_588)))
    | meet(meet(X_43,b),join(X_588,a)) != meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))
    | meet(X_43,join(a,meet(b,X_588))) = meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_43,b),join(X_588,a)),meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))) ),[0],$fot(meet(X_43,join(a,meet(b,X_588))))]]) ).

cnf(refute_0_3393,plain,
    ( meet(meet(X_43,b),join(X_588,a)) != meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))
    | meet(X_43,join(a,meet(b,X_588))) = meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,b),join(X_588,a)),meet(X_43,join(a,meet(b,X_588)))) )],[refute_0_3391,refute_0_3392]) ).

cnf(refute_0_3394,plain,
    meet(join(a,X_586),meet(X_289,Y)) = meet(Y,meet(X_289,join(a,X_586))),
    inference(subst,[],[refute_0_603:[bind(X_288,$fot(join(a,X_586)))]]) ).

cnf(refute_0_3395,plain,
    meet(join(X_586,a),X_289) = meet(X_289,join(a,X_586)),
    inference(subst,[],[refute_0_2286:[bind(Y,$fot(X_289)),bind(X_518,$fot(X_586))]]) ).

cnf(refute_0_3396,plain,
    ( meet(join(X_586,a),X_289) != meet(X_289,join(a,X_586))
    | meet(X_289,join(a,X_586)) = meet(join(X_586,a),X_289) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(join(X_586,a),X_289))),bind(Y0,$fot(meet(X_289,join(a,X_586))))]]) ).

cnf(refute_0_3397,plain,
    meet(X_289,join(a,X_586)) = meet(join(X_586,a),X_289),
    inference(resolve,[$cnf( $equal(meet(join(X_586,a),X_289),meet(X_289,join(a,X_586))) )],[refute_0_3395,refute_0_3396]) ).

cnf(refute_0_3398,plain,
    ( meet(X_289,join(a,X_586)) != meet(join(X_586,a),X_289)
    | meet(join(a,X_586),meet(X_289,Y)) != meet(Y,meet(X_289,join(a,X_586)))
    | meet(join(a,X_586),meet(X_289,Y)) = meet(Y,meet(join(X_586,a),X_289)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,X_586),meet(X_289,Y)),meet(Y,meet(X_289,join(a,X_586)))) ),[1,1],$fot(meet(join(X_586,a),X_289))]]) ).

cnf(refute_0_3399,plain,
    ( meet(join(a,X_586),meet(X_289,Y)) != meet(Y,meet(X_289,join(a,X_586)))
    | meet(join(a,X_586),meet(X_289,Y)) = meet(Y,meet(join(X_586,a),X_289)) ),
    inference(resolve,[$cnf( $equal(meet(X_289,join(a,X_586)),meet(join(X_586,a),X_289)) )],[refute_0_3397,refute_0_3398]) ).

cnf(refute_0_3400,plain,
    meet(join(a,X_586),meet(X_289,Y)) = meet(Y,meet(join(X_586,a),X_289)),
    inference(resolve,[$cnf( $equal(meet(join(a,X_586),meet(X_289,Y)),meet(Y,meet(X_289,join(a,X_586)))) )],[refute_0_3394,refute_0_3399]) ).

cnf(refute_0_3401,plain,
    meet(join(a,X_588),meet(X_43,b)) = meet(b,meet(join(X_588,a),X_43)),
    inference(subst,[],[refute_0_3400:[bind(Y,$fot(b)),bind(X_289,$fot(X_43)),bind(X_586,$fot(X_588))]]) ).

cnf(refute_0_3402,plain,
    meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))) = meet(join(a,X_588),meet(X_43,b)),
    inference(subst,[],[refute_0_2673:[bind(X,$fot(join(a,X_588)))]]) ).

cnf(refute_0_3403,plain,
    ( meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))) != meet(join(a,X_588),meet(X_43,b))
    | meet(join(a,X_588),meet(X_43,b)) != meet(b,meet(join(X_588,a),X_43))
    | meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))) = meet(b,meet(join(X_588,a),X_43)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))))),bind(Y0,$fot(meet(join(a,X_588),meet(X_43,b)))),bind(Z0,$fot(meet(b,meet(join(X_588,a),X_43))))]]) ).

cnf(refute_0_3404,plain,
    ( meet(join(a,X_588),meet(X_43,b)) != meet(b,meet(join(X_588,a),X_43))
    | meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))) = meet(b,meet(join(X_588,a),X_43)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))),meet(join(a,X_588),meet(X_43,b))) )],[refute_0_3402,refute_0_3403]) ).

cnf(refute_0_3405,plain,
    meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))) = meet(b,meet(join(X_588,a),X_43)),
    inference(resolve,[$cnf( $equal(meet(join(a,X_588),meet(X_43,b)),meet(b,meet(join(X_588,a),X_43))) )],[refute_0_3401,refute_0_3404]) ).

cnf(refute_0_3406,plain,
    ( meet(X_43,join(a,meet(b,X_588))) != meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))
    | meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))) != meet(b,meet(join(X_588,a),X_43))
    | meet(X_43,join(a,meet(b,X_588))) = meet(b,meet(join(X_588,a),X_43)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_43,join(a,meet(b,X_588))),meet(b,meet(join(X_588,a),X_43))) ),[0],$fot(meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))))]]) ).

cnf(refute_0_3407,plain,
    ( meet(X_43,join(a,meet(b,X_588))) != meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))
    | meet(X_43,join(a,meet(b,X_588))) = meet(b,meet(join(X_588,a),X_43)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588))),meet(b,meet(join(X_588,a),X_43))) )],[refute_0_3405,refute_0_3406]) ).

cnf(refute_0_3408,plain,
    ( meet(meet(X_43,b),join(X_588,a)) != meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))
    | meet(X_43,join(a,meet(b,X_588))) = meet(b,meet(join(X_588,a),X_43)) ),
    inference(resolve,[$cnf( $equal(meet(X_43,join(a,meet(b,X_588))),meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))) )],[refute_0_3393,refute_0_3407]) ).

cnf(refute_0_3409,plain,
    meet(X_43,join(a,meet(b,X_588))) = meet(b,meet(join(X_588,a),X_43)),
    inference(resolve,[$cnf( $equal(meet(meet(X_43,b),join(X_588,a)),meet(X_43,meet(join(a,meet(X_43,b)),join(a,X_588)))) )],[refute_0_3351,refute_0_3408]) ).

cnf(refute_0_3410,plain,
    meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))),
    inference(subst,[],[refute_0_3409:[bind(X_43,$fot(complement(a))),bind(X_588,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3411,plain,
    ( meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a)))
    | meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))),bind(Y0,$fot(meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))))),bind(Z0,$fot(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))]]) ).

cnf(refute_0_3412,plain,
    ( meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a)))) )],[refute_0_3410,refute_0_3411]) ).

cnf(refute_0_3413,plain,
    meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a),complement(a))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3346,refute_0_3412]) ).

cnf(refute_0_3414,plain,
    meet(one,a) = meet(a,one),
    inference(subst,[],[refute_0_106:[bind(X,$fot(a)),bind(Y,$fot(one))]]) ).

cnf(refute_0_3415,plain,
    ( meet(a,one) != a
    | meet(one,a) != meet(a,one)
    | meet(one,a) = a ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(one,a))),bind(Y0,$fot(meet(a,one))),bind(Z0,$fot(a))]]) ).

cnf(refute_0_3416,plain,
    ( meet(a,one) != a
    | meet(one,a) = a ),
    inference(resolve,[$cnf( $equal(meet(one,a),meet(a,one)) )],[refute_0_3414,refute_0_3415]) ).

cnf(refute_0_3417,plain,
    meet(one,a) = a,
    inference(resolve,[$cnf( $equal(meet(a,one),a) )],[refute_0_3260,refute_0_3416]) ).

cnf(refute_0_3418,plain,
    meet(a,meet(X_43,complement(meet(b,complement(a))))) = meet(X_43,meet(a,complement(meet(b,complement(a))))),
    inference(subst,[],[refute_0_428:[bind(X_44,$fot(a)),bind(X_45,$fot(complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_3419,plain,
    meet(complement(meet(b,complement(a))),meet(b,complement(meet(b,complement(a))))) = meet(complement(meet(b,complement(a))),b),
    inference(subst,[],[refute_0_49:[bind(X_10,$fot(complement(meet(b,complement(a))))),bind(X_15,$fot(b))]]) ).

cnf(refute_0_3420,plain,
    ( meet(b,complement(meet(b,complement(a)))) != a
    | meet(complement(meet(b,complement(a))),meet(b,complement(meet(b,complement(a))))) != meet(complement(meet(b,complement(a))),b)
    | meet(complement(meet(b,complement(a))),a) = meet(complement(meet(b,complement(a))),b) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(b,complement(a))),meet(b,complement(meet(b,complement(a))))),meet(complement(meet(b,complement(a))),b)) ),[0,1],$fot(a)]]) ).

cnf(refute_0_3421,plain,
    ( meet(complement(meet(b,complement(a))),meet(b,complement(meet(b,complement(a))))) != meet(complement(meet(b,complement(a))),b)
    | meet(complement(meet(b,complement(a))),a) = meet(complement(meet(b,complement(a))),b) ),
    inference(resolve,[$cnf( $equal(meet(b,complement(meet(b,complement(a)))),a) )],[refute_0_1506,refute_0_3420]) ).

cnf(refute_0_3422,plain,
    meet(complement(meet(b,complement(a))),a) = meet(complement(meet(b,complement(a))),b),
    inference(resolve,[$cnf( $equal(meet(complement(meet(b,complement(a))),meet(b,complement(meet(b,complement(a))))),meet(complement(meet(b,complement(a))),b)) )],[refute_0_3419,refute_0_3421]) ).

cnf(refute_0_3423,plain,
    meet(complement(meet(b,complement(a))),a) = meet(a,complement(meet(b,complement(a)))),
    inference(subst,[],[refute_0_106:[bind(X,$fot(a)),bind(Y,$fot(complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_3424,plain,
    ( meet(complement(meet(b,complement(a))),a) != meet(a,complement(meet(b,complement(a))))
    | meet(complement(meet(b,complement(a))),a) != meet(complement(meet(b,complement(a))),b)
    | meet(a,complement(meet(b,complement(a)))) = meet(complement(meet(b,complement(a))),b) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(b,complement(a))),a),meet(complement(meet(b,complement(a))),b)) ),[0],$fot(meet(a,complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_3425,plain,
    ( meet(complement(meet(b,complement(a))),a) != meet(complement(meet(b,complement(a))),b)
    | meet(a,complement(meet(b,complement(a)))) = meet(complement(meet(b,complement(a))),b) ),
    inference(resolve,[$cnf( $equal(meet(complement(meet(b,complement(a))),a),meet(a,complement(meet(b,complement(a))))) )],[refute_0_3423,refute_0_3424]) ).

cnf(refute_0_3426,plain,
    meet(complement(meet(b,complement(a))),b) = meet(b,complement(meet(b,complement(a)))),
    inference(subst,[],[refute_0_106:[bind(X,$fot(b)),bind(Y,$fot(complement(meet(b,complement(a)))))]]) ).

cnf(refute_0_3427,plain,
    ( meet(b,complement(meet(b,complement(a)))) != a
    | meet(complement(meet(b,complement(a))),b) != meet(b,complement(meet(b,complement(a))))
    | meet(complement(meet(b,complement(a))),b) = a ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(meet(b,complement(a))),b))),bind(Y0,$fot(meet(b,complement(meet(b,complement(a)))))),bind(Z0,$fot(a))]]) ).

cnf(refute_0_3428,plain,
    ( meet(b,complement(meet(b,complement(a)))) != a
    | meet(complement(meet(b,complement(a))),b) = a ),
    inference(resolve,[$cnf( $equal(meet(complement(meet(b,complement(a))),b),meet(b,complement(meet(b,complement(a))))) )],[refute_0_3426,refute_0_3427]) ).

cnf(refute_0_3429,plain,
    meet(complement(meet(b,complement(a))),b) = a,
    inference(resolve,[$cnf( $equal(meet(b,complement(meet(b,complement(a)))),a) )],[refute_0_1506,refute_0_3428]) ).

cnf(refute_0_3430,plain,
    ( meet(a,complement(meet(b,complement(a)))) != meet(complement(meet(b,complement(a))),b)
    | meet(complement(meet(b,complement(a))),b) != a
    | meet(a,complement(meet(b,complement(a)))) = a ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(a,complement(meet(b,complement(a)))),a) ),[0],$fot(meet(complement(meet(b,complement(a))),b))]]) ).

cnf(refute_0_3431,plain,
    ( meet(a,complement(meet(b,complement(a)))) != meet(complement(meet(b,complement(a))),b)
    | meet(a,complement(meet(b,complement(a)))) = a ),
    inference(resolve,[$cnf( $equal(meet(complement(meet(b,complement(a))),b),a) )],[refute_0_3429,refute_0_3430]) ).

cnf(refute_0_3432,plain,
    ( meet(complement(meet(b,complement(a))),a) != meet(complement(meet(b,complement(a))),b)
    | meet(a,complement(meet(b,complement(a)))) = a ),
    inference(resolve,[$cnf( $equal(meet(a,complement(meet(b,complement(a)))),meet(complement(meet(b,complement(a))),b)) )],[refute_0_3425,refute_0_3431]) ).

cnf(refute_0_3433,plain,
    meet(a,complement(meet(b,complement(a)))) = a,
    inference(resolve,[$cnf( $equal(meet(complement(meet(b,complement(a))),a),meet(complement(meet(b,complement(a))),b)) )],[refute_0_3422,refute_0_3432]) ).

cnf(refute_0_3434,plain,
    ( meet(a,complement(meet(b,complement(a)))) != a
    | meet(a,meet(X_43,complement(meet(b,complement(a))))) != meet(X_43,meet(a,complement(meet(b,complement(a)))))
    | meet(a,meet(X_43,complement(meet(b,complement(a))))) = meet(X_43,a) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(X_43,complement(meet(b,complement(a))))),meet(X_43,meet(a,complement(meet(b,complement(a)))))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_3435,plain,
    ( meet(a,meet(X_43,complement(meet(b,complement(a))))) != meet(X_43,meet(a,complement(meet(b,complement(a)))))
    | meet(a,meet(X_43,complement(meet(b,complement(a))))) = meet(X_43,a) ),
    inference(resolve,[$cnf( $equal(meet(a,complement(meet(b,complement(a)))),a) )],[refute_0_3433,refute_0_3434]) ).

cnf(refute_0_3436,plain,
    meet(a,meet(X_43,complement(meet(b,complement(a))))) = meet(X_43,a),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_43,complement(meet(b,complement(a))))),meet(X_43,meet(a,complement(meet(b,complement(a)))))) )],[refute_0_3418,refute_0_3435]) ).

cnf(refute_0_3437,plain,
    meet(a,meet(one,complement(meet(b,complement(a))))) = meet(one,a),
    inference(subst,[],[refute_0_3436:[bind(X_43,$fot(one))]]) ).

cnf(refute_0_3438,plain,
    ( meet(a,meet(one,complement(meet(b,complement(a))))) != meet(one,a)
    | meet(one,a) != a
    | meet(a,meet(one,complement(meet(b,complement(a))))) = a ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(a,meet(one,complement(meet(b,complement(a))))))),bind(Y0,$fot(meet(one,a))),bind(Z0,$fot(a))]]) ).

cnf(refute_0_3439,plain,
    ( meet(one,a) != a
    | meet(a,meet(one,complement(meet(b,complement(a))))) = a ),
    inference(resolve,[$cnf( $equal(meet(a,meet(one,complement(meet(b,complement(a))))),meet(one,a)) )],[refute_0_3437,refute_0_3438]) ).

cnf(refute_0_3440,plain,
    meet(a,meet(one,complement(meet(b,complement(a))))) = a,
    inference(resolve,[$cnf( $equal(meet(one,a),a) )],[refute_0_3417,refute_0_3439]) ).

cnf(refute_0_3441,plain,
    meet(a,meet(complement(meet(b,complement(a))),one)) = meet(a,meet(one,complement(meet(b,complement(a))))),
    inference(subst,[],[refute_0_3087:[bind(X,$fot(complement(meet(b,complement(a))))),bind(X_283,$fot(a)),bind(X_44,$fot(one))]]) ).

cnf(refute_0_3442,plain,
    ( meet(a,meet(complement(meet(b,complement(a))),one)) != meet(a,meet(one,complement(meet(b,complement(a)))))
    | meet(a,meet(one,complement(meet(b,complement(a))))) != a
    | meet(a,meet(complement(meet(b,complement(a))),one)) = a ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(a,meet(complement(meet(b,complement(a))),one)))),bind(Y0,$fot(meet(a,meet(one,complement(meet(b,complement(a))))))),bind(Z0,$fot(a))]]) ).

cnf(refute_0_3443,plain,
    ( meet(a,meet(one,complement(meet(b,complement(a))))) != a
    | meet(a,meet(complement(meet(b,complement(a))),one)) = a ),
    inference(resolve,[$cnf( $equal(meet(a,meet(complement(meet(b,complement(a))),one)),meet(a,meet(one,complement(meet(b,complement(a)))))) )],[refute_0_3441,refute_0_3442]) ).

cnf(refute_0_3444,plain,
    meet(a,meet(complement(meet(b,complement(a))),one)) = a,
    inference(resolve,[$cnf( $equal(meet(a,meet(one,complement(meet(b,complement(a))))),a) )],[refute_0_3440,refute_0_3443]) ).

cnf(refute_0_3445,plain,
    join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    introduced(tautology,[refl,[$fot(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3446,plain,
    ( join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | meet(a,meet(complement(meet(b,complement(a))),one)) != a
    | join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_3447,plain,
    ( meet(a,meet(complement(meet(b,complement(a))),one)) != a
    | join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3445,refute_0_3446]) ).

cnf(refute_0_3448,plain,
    join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(resolve,[$cnf( $equal(meet(a,meet(complement(meet(b,complement(a))),one)),a) )],[refute_0_3444,refute_0_3447]) ).

cnf(refute_0_3449,plain,
    join(X_455,meet(b,meet(X_45,X_44))) = join(X_455,meet(meet(X_45,X_44),b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(X_455)),bind(X_331,$fot(meet(X_45,X_44)))]]) ).

cnf(refute_0_3450,plain,
    meet(b,meet(X_44,X_45)) = meet(b,meet(X_45,X_44)),
    inference(subst,[],[refute_0_415:[bind(X_43,$fot(b))]]) ).

cnf(refute_0_3451,plain,
    ( meet(b,meet(X_44,X_45)) != meet(b,meet(X_45,X_44))
    | meet(b,meet(X_45,X_44)) = meet(b,meet(X_44,X_45)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(b,meet(X_44,X_45)))),bind(Y0,$fot(meet(b,meet(X_45,X_44))))]]) ).

cnf(refute_0_3452,plain,
    meet(b,meet(X_45,X_44)) = meet(b,meet(X_44,X_45)),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,X_45)),meet(b,meet(X_45,X_44))) )],[refute_0_3450,refute_0_3451]) ).

cnf(refute_0_3453,plain,
    ( join(X_455,meet(b,meet(X_45,X_44))) != join(X_455,meet(meet(X_45,X_44),b))
    | meet(b,meet(X_45,X_44)) != meet(b,meet(X_44,X_45))
    | join(X_455,meet(b,meet(X_44,X_45))) = join(X_455,meet(meet(X_45,X_44),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_455,meet(b,meet(X_45,X_44))),join(X_455,meet(meet(X_45,X_44),b))) ),[0,1],$fot(meet(b,meet(X_44,X_45)))]]) ).

cnf(refute_0_3454,plain,
    ( join(X_455,meet(b,meet(X_45,X_44))) != join(X_455,meet(meet(X_45,X_44),b))
    | join(X_455,meet(b,meet(X_44,X_45))) = join(X_455,meet(meet(X_45,X_44),b)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_45,X_44)),meet(b,meet(X_44,X_45))) )],[refute_0_3452,refute_0_3453]) ).

cnf(refute_0_3455,plain,
    join(X_455,meet(b,meet(X_44,X_45))) = join(X_455,meet(meet(X_45,X_44),b)),
    inference(resolve,[$cnf( $equal(join(X_455,meet(b,meet(X_45,X_44))),join(X_455,meet(meet(X_45,X_44),b))) )],[refute_0_3449,refute_0_3454]) ).

cnf(refute_0_3456,plain,
    ( join(X,meet(b,X_331)) != join(X,meet(X_331,b))
    | join(X,meet(X_331,b)) = join(X,meet(b,X_331)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X,meet(b,X_331)))),bind(Y0,$fot(join(X,meet(X_331,b))))]]) ).

cnf(refute_0_3457,plain,
    join(X,meet(X_331,b)) = join(X,meet(b,X_331)),
    inference(resolve,[$cnf( $equal(join(X,meet(b,X_331)),join(X,meet(X_331,b))) )],[refute_0_910,refute_0_3456]) ).

cnf(refute_0_3458,plain,
    join(X_455,meet(meet(X_45,X_44),b)) = join(X_455,meet(b,meet(X_45,X_44))),
    inference(subst,[],[refute_0_3457:[bind(X,$fot(X_455)),bind(X_331,$fot(meet(X_45,X_44)))]]) ).

cnf(refute_0_3459,plain,
    ( join(X_455,meet(b,meet(X_44,X_45))) != join(X_455,meet(meet(X_45,X_44),b))
    | join(X_455,meet(meet(X_45,X_44),b)) != join(X_455,meet(b,meet(X_45,X_44)))
    | join(X_455,meet(b,meet(X_44,X_45))) = join(X_455,meet(b,meet(X_45,X_44))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_455,meet(b,meet(X_44,X_45))),join(X_455,meet(b,meet(X_45,X_44)))) ),[0],$fot(join(X_455,meet(meet(X_45,X_44),b)))]]) ).

cnf(refute_0_3460,plain,
    ( join(X_455,meet(b,meet(X_44,X_45))) != join(X_455,meet(meet(X_45,X_44),b))
    | join(X_455,meet(b,meet(X_44,X_45))) = join(X_455,meet(b,meet(X_45,X_44))) ),
    inference(resolve,[$cnf( $equal(join(X_455,meet(meet(X_45,X_44),b)),join(X_455,meet(b,meet(X_45,X_44)))) )],[refute_0_3458,refute_0_3459]) ).

cnf(refute_0_3461,plain,
    join(X_455,meet(b,meet(X_44,X_45))) = join(X_455,meet(b,meet(X_45,X_44))),
    inference(resolve,[$cnf( $equal(join(X_455,meet(b,meet(X_44,X_45))),join(X_455,meet(meet(X_45,X_44),b))) )],[refute_0_3455,refute_0_3460]) ).

cnf(refute_0_3462,plain,
    ( join(X_455,meet(b,meet(X_44,X_45))) != join(X_455,meet(b,meet(X_45,X_44)))
    | join(X_455,meet(b,meet(X_45,X_44))) = join(X_455,meet(b,meet(X_44,X_45))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_455,meet(b,meet(X_44,X_45))))),bind(Y0,$fot(join(X_455,meet(b,meet(X_45,X_44)))))]]) ).

cnf(refute_0_3463,plain,
    join(X_455,meet(b,meet(X_45,X_44))) = join(X_455,meet(b,meet(X_44,X_45))),
    inference(resolve,[$cnf( $equal(join(X_455,meet(b,meet(X_44,X_45))),join(X_455,meet(b,meet(X_45,X_44)))) )],[refute_0_3461,refute_0_3462]) ).

cnf(refute_0_3464,plain,
    join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a)))) = join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(subst,[],[refute_0_3463:[bind(X_44,$fot(complement(a))),bind(X_45,$fot(complement(meet(a,join(complement(b),meet(b,complement(a))))))),bind(X_455,$fot(meet(a,meet(complement(meet(b,complement(a))),one))))]]) ).

cnf(refute_0_3465,plain,
    join(X_455,meet(b,meet(X_44,X))) = join(X_455,meet(meet(X_44,X),b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(X_455)),bind(X_331,$fot(meet(X_44,X)))]]) ).

cnf(refute_0_3466,plain,
    meet(X,meet(b,X_44)) = meet(b,meet(X_44,X)),
    inference(subst,[],[refute_0_59:[bind(X_43,$fot(b))]]) ).

cnf(refute_0_3467,plain,
    ( meet(X,meet(b,X_44)) != meet(b,meet(X_44,X))
    | meet(b,meet(X_44,X)) = meet(X,meet(b,X_44)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X,meet(b,X_44)))),bind(Y0,$fot(meet(b,meet(X_44,X))))]]) ).

cnf(refute_0_3468,plain,
    meet(b,meet(X_44,X)) = meet(X,meet(b,X_44)),
    inference(resolve,[$cnf( $equal(meet(X,meet(b,X_44)),meet(b,meet(X_44,X))) )],[refute_0_3466,refute_0_3467]) ).

cnf(refute_0_3469,plain,
    ( join(X_455,meet(b,meet(X_44,X))) != join(X_455,meet(meet(X_44,X),b))
    | meet(b,meet(X_44,X)) != meet(X,meet(b,X_44))
    | join(X_455,meet(X,meet(b,X_44))) = join(X_455,meet(meet(X_44,X),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_455,meet(b,meet(X_44,X))),join(X_455,meet(meet(X_44,X),b))) ),[0,1],$fot(meet(X,meet(b,X_44)))]]) ).

cnf(refute_0_3470,plain,
    ( join(X_455,meet(b,meet(X_44,X))) != join(X_455,meet(meet(X_44,X),b))
    | join(X_455,meet(X,meet(b,X_44))) = join(X_455,meet(meet(X_44,X),b)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_44,X)),meet(X,meet(b,X_44))) )],[refute_0_3468,refute_0_3469]) ).

cnf(refute_0_3471,plain,
    join(X_455,meet(X,meet(b,X_44))) = join(X_455,meet(meet(X_44,X),b)),
    inference(resolve,[$cnf( $equal(join(X_455,meet(b,meet(X_44,X))),join(X_455,meet(meet(X_44,X),b))) )],[refute_0_3465,refute_0_3470]) ).

cnf(refute_0_3472,plain,
    join(X_455,meet(meet(X_44,X),b)) = join(X_455,meet(b,meet(X_44,X))),
    inference(subst,[],[refute_0_3457:[bind(X,$fot(X_455)),bind(X_331,$fot(meet(X_44,X)))]]) ).

cnf(refute_0_3473,plain,
    ( join(X_455,meet(X,meet(b,X_44))) != join(X_455,meet(meet(X_44,X),b))
    | join(X_455,meet(meet(X_44,X),b)) != join(X_455,meet(b,meet(X_44,X)))
    | join(X_455,meet(X,meet(b,X_44))) = join(X_455,meet(b,meet(X_44,X))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_455,meet(X,meet(b,X_44))),join(X_455,meet(b,meet(X_44,X)))) ),[0],$fot(join(X_455,meet(meet(X_44,X),b)))]]) ).

cnf(refute_0_3474,plain,
    ( join(X_455,meet(X,meet(b,X_44))) != join(X_455,meet(meet(X_44,X),b))
    | join(X_455,meet(X,meet(b,X_44))) = join(X_455,meet(b,meet(X_44,X))) ),
    inference(resolve,[$cnf( $equal(join(X_455,meet(meet(X_44,X),b)),join(X_455,meet(b,meet(X_44,X)))) )],[refute_0_3472,refute_0_3473]) ).

cnf(refute_0_3475,plain,
    join(X_455,meet(X,meet(b,X_44))) = join(X_455,meet(b,meet(X_44,X))),
    inference(resolve,[$cnf( $equal(join(X_455,meet(X,meet(b,X_44))),join(X_455,meet(meet(X_44,X),b))) )],[refute_0_3471,refute_0_3474]) ).

cnf(refute_0_3476,plain,
    join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a)))),
    inference(subst,[],[refute_0_3475:[bind(X,$fot(complement(a))),bind(X_44,$fot(complement(meet(a,join(complement(b),meet(b,complement(a))))))),bind(X_455,$fot(meet(a,meet(complement(meet(b,complement(a))),one))))]]) ).

cnf(refute_0_3477,plain,
    ( join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a)))) != join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a))))
    | join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(Y0,$fot(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a)))))),bind(Z0,$fot(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))]]) ).

cnf(refute_0_3478,plain,
    ( join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a)))) != join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a))))) )],[refute_0_3476,refute_0_3477]) ).

cnf(refute_0_3479,plain,
    join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a)))),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3464,refute_0_3478]) ).

cnf(refute_0_3480,plain,
    ( join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(Y0,$fot(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(Z0,$fot(join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))]]) ).

cnf(refute_0_3481,plain,
    ( join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3479,refute_0_3480]) ).

cnf(refute_0_3482,plain,
    join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3448,refute_0_3481]) ).

cnf(refute_0_3483,plain,
    meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    introduced(tautology,[refl,[$fot(meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))))]]) ).

cnf(refute_0_3484,plain,
    ( join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) ),[1,1],$fot(join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3485,plain,
    ( join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3483,refute_0_3484]) ).

cnf(refute_0_3486,plain,
    meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(resolve,[$cnf( $equal(join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3482,refute_0_3485]) ).

cnf(refute_0_3487,plain,
    ( meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))))),bind(Y0,$fot(meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))),bind(Z0,$fot(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))]]) ).

cnf(refute_0_3488,plain,
    ( meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3486,refute_0_3487]) ).

cnf(refute_0_3489,plain,
    meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(a,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3413,refute_0_3488]) ).

cnf(refute_0_3490,plain,
    meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))) = meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(subst,[],[refute_0_2729:[bind(X_10,$fot(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(X_103,$fot(meet(a,meet(complement(meet(b,complement(a))),one)))),bind(X_452,$fot(complement(a)))]]) ).

cnf(refute_0_3491,plain,
    ( meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))) != meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))))),bind(Y0,$fot(meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))))),bind(Z0,$fot(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))]]) ).

cnf(refute_0_3492,plain,
    ( meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))),meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3490,refute_0_3491]) ).

cnf(refute_0_3493,plain,
    meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(a,meet(complement(meet(b,complement(a))),one)),meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3489,refute_0_3492]) ).

cnf(refute_0_3494,plain,
    ( meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one))))
    | meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) ),[0],$fot(meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))))]]) ).

cnf(refute_0_3495,plain,
    ( meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one))))
    | meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one)))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3493,refute_0_3494]) ).

cnf(refute_0_3496,plain,
    ( meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one))))
    | meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one))))) )],[refute_0_3302,refute_0_3495]) ).

cnf(refute_0_3497,plain,
    meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(resolve,[$cnf( $equal(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(meet(complement(a),meet(b,complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(a,meet(complement(meet(b,complement(a))),one))))) )],[refute_0_3299,refute_0_3496]) ).

cnf(refute_0_3498,plain,
    ( meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(Y0,$fot(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))]]) ).

cnf(refute_0_3499,plain,
    meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3497,refute_0_3498]) ).

cnf(refute_0_3500,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),X_33))
    | meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),X_33))) ),[1,1,0],$fot(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3501,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),X_33))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),X_33)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3499,refute_0_3500]) ).

cnf(refute_0_3502,plain,
    join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),X_33)),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),X_33))) )],[refute_0_3151,refute_0_3501]) ).

cnf(refute_0_3503,plain,
    join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),X_33)) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)),
    inference(subst,[],[refute_0_1231:[bind(X_64,$fot(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(X_65,$fot(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(X_66,$fot(X_33))]]) ).

cnf(refute_0_3504,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),X_33))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),X_33)) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))) ),[0],$fot(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),X_33)))]]) ).

cnf(refute_0_3505,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),X_33))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),X_33)),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))) )],[refute_0_3503,refute_0_3504]) ).

cnf(refute_0_3506,plain,
    join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),X_33))) )],[refute_0_3502,refute_0_3505]) ).

cnf(refute_0_3507,plain,
    join(meet(X_15,X_85),meet(X_84,meet(X_85,meet(X_15,X_85)))) = meet(X_15,X_85),
    inference(subst,[],[refute_0_2473:[bind(X,$fot(meet(X_15,X_85))),bind(X_43,$fot(X_84)),bind(X_44,$fot(X_85))]]) ).

cnf(refute_0_3508,plain,
    meet(X_85,meet(X_15,X_85)) = meet(X_85,X_15),
    inference(subst,[],[refute_0_49:[bind(X_10,$fot(X_85))]]) ).

cnf(refute_0_3509,plain,
    ( join(meet(X_15,X_85),meet(X_84,meet(X_85,meet(X_15,X_85)))) != meet(X_15,X_85)
    | meet(X_85,meet(X_15,X_85)) != meet(X_85,X_15)
    | join(meet(X_15,X_85),meet(X_84,meet(X_85,X_15))) = meet(X_15,X_85) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_15,X_85),meet(X_84,meet(X_85,meet(X_15,X_85)))),meet(X_15,X_85)) ),[0,1,1],$fot(meet(X_85,X_15))]]) ).

cnf(refute_0_3510,plain,
    ( join(meet(X_15,X_85),meet(X_84,meet(X_85,meet(X_15,X_85)))) != meet(X_15,X_85)
    | join(meet(X_15,X_85),meet(X_84,meet(X_85,X_15))) = meet(X_15,X_85) ),
    inference(resolve,[$cnf( $equal(meet(X_85,meet(X_15,X_85)),meet(X_85,X_15)) )],[refute_0_3508,refute_0_3509]) ).

cnf(refute_0_3511,plain,
    join(meet(X_15,X_85),meet(X_84,meet(X_85,X_15))) = meet(X_15,X_85),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_85),meet(X_84,meet(X_85,meet(X_15,X_85)))),meet(X_15,X_85)) )],[refute_0_3507,refute_0_3510]) ).

cnf(refute_0_3512,plain,
    join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) = meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),
    inference(subst,[],[refute_0_3511:[bind(X_15,$fot(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(X_84,$fot(b)),bind(X_85,$fot(complement(a)))]]) ).

cnf(refute_0_3513,plain,
    ( join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) != meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))
    | meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) ),[0,1],$fot(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3514,plain,
    ( join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) != meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))
    | join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3499,refute_0_3513]) ).

cnf(refute_0_3515,plain,
    join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),
    inference(resolve,[$cnf( $equal(join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) )],[refute_0_3512,refute_0_3514]) ).

cnf(refute_0_3516,plain,
    join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(Y,$fot(b))]]) ).

cnf(refute_0_3517,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) != meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),[0,1],$fot(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3518,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) != meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3499,refute_0_3517]) ).

cnf(refute_0_3519,plain,
    join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3516,refute_0_3518]) ).

cnf(refute_0_3520,plain,
    meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b) = meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(subst,[],[refute_0_106:[bind(X,$fot(b)),bind(Y,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3521,plain,
    join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    introduced(tautology,[refl,[$fot(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))]]) ).

cnf(refute_0_3522,plain,
    ( join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b) != meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) ),[1,0],$fot(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3523,plain,
    ( meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b) != meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3521,refute_0_3522]) ).

cnf(refute_0_3524,plain,
    join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(resolve,[$cnf( $equal(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3520,refute_0_3523]) ).

cnf(refute_0_3525,plain,
    join(meet(X_456,b),join(Y,meet(X_456,b))) = join(meet(X_456,b),Y),
    inference(subst,[],[refute_0_11:[bind(X_28,$fot(meet(X_456,b)))]]) ).

cnf(refute_0_3526,plain,
    ( join(Y,meet(b,X_456)) != join(Y,meet(X_456,b))
    | join(Y,meet(X_456,b)) = join(Y,meet(b,X_456)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(Y,meet(b,X_456)))),bind(Y0,$fot(join(Y,meet(X_456,b))))]]) ).

cnf(refute_0_3527,plain,
    join(Y,meet(X_456,b)) = join(Y,meet(b,X_456)),
    inference(resolve,[$cnf( $equal(join(Y,meet(b,X_456)),join(Y,meet(X_456,b))) )],[refute_0_2939,refute_0_3526]) ).

cnf(refute_0_3528,plain,
    ( join(Y,meet(X_456,b)) != join(Y,meet(b,X_456))
    | join(meet(X_456,b),join(Y,meet(X_456,b))) != join(meet(X_456,b),Y)
    | join(meet(X_456,b),join(Y,meet(b,X_456))) = join(meet(X_456,b),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_456,b),join(Y,meet(X_456,b))),join(meet(X_456,b),Y)) ),[0,1],$fot(join(Y,meet(b,X_456)))]]) ).

cnf(refute_0_3529,plain,
    ( join(meet(X_456,b),join(Y,meet(X_456,b))) != join(meet(X_456,b),Y)
    | join(meet(X_456,b),join(Y,meet(b,X_456))) = join(meet(X_456,b),Y) ),
    inference(resolve,[$cnf( $equal(join(Y,meet(X_456,b)),join(Y,meet(b,X_456))) )],[refute_0_3527,refute_0_3528]) ).

cnf(refute_0_3530,plain,
    join(meet(X_456,b),join(Y,meet(b,X_456))) = join(meet(X_456,b),Y),
    inference(resolve,[$cnf( $equal(join(meet(X_456,b),join(Y,meet(X_456,b))),join(meet(X_456,b),Y)) )],[refute_0_3525,refute_0_3529]) ).

cnf(refute_0_3531,plain,
    join(meet(X_456,b),join(Y,meet(b,X_456))) = join(Y,meet(b,X_456)),
    inference(subst,[],[refute_0_1024:[bind(X_15,$fot(b)),bind(X_28,$fot(X_456)),bind(X_65,$fot(Y))]]) ).

cnf(refute_0_3532,plain,
    ( join(meet(X_456,b),join(Y,meet(b,X_456))) != join(Y,meet(b,X_456))
    | join(meet(X_456,b),join(Y,meet(b,X_456))) != join(meet(X_456,b),Y)
    | join(Y,meet(b,X_456)) = join(meet(X_456,b),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_456,b),join(Y,meet(b,X_456))),join(meet(X_456,b),Y)) ),[0],$fot(join(Y,meet(b,X_456)))]]) ).

cnf(refute_0_3533,plain,
    ( join(meet(X_456,b),join(Y,meet(b,X_456))) != join(meet(X_456,b),Y)
    | join(Y,meet(b,X_456)) = join(meet(X_456,b),Y) ),
    inference(resolve,[$cnf( $equal(join(meet(X_456,b),join(Y,meet(b,X_456))),join(Y,meet(b,X_456))) )],[refute_0_3531,refute_0_3532]) ).

cnf(refute_0_3534,plain,
    join(Y,meet(b,X_456)) = join(meet(X_456,b),Y),
    inference(resolve,[$cnf( $equal(join(meet(X_456,b),join(Y,meet(b,X_456))),join(meet(X_456,b),Y)) )],[refute_0_3530,refute_0_3533]) ).

cnf(refute_0_3535,plain,
    join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(subst,[],[refute_0_3534:[bind(Y,$fot(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(X_456,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3536,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(Y0,$fot(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))),bind(Z0,$fot(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))]]) ).

cnf(refute_0_3537,plain,
    ( join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3535,refute_0_3536]) ).

cnf(refute_0_3538,plain,
    join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(resolve,[$cnf( $equal(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3524,refute_0_3537]) ).

cnf(refute_0_3539,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),[0],$fot(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))]]) ).

cnf(refute_0_3540,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3538,refute_0_3539]) ).

cnf(refute_0_3541,plain,
    join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3519,refute_0_3540]) ).

cnf(refute_0_3542,plain,
    ( join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))),bind(Y0,$fot(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))),bind(Z0,$fot(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))]]) ).

cnf(refute_0_3543,plain,
    ( join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3524,refute_0_3542]) ).

cnf(refute_0_3544,plain,
    join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3541,refute_0_3543]) ).

cnf(refute_0_3545,plain,
    join(X_31,meet(X_606,Y)) = join(X_31,join(meet(Y,X_31),meet(X_606,Y))),
    inference(subst,[],[refute_0_559:[bind(X_33,$fot(meet(X_606,Y)))]]) ).

cnf(refute_0_3546,plain,
    meet(X_159,X_157) = meet(X_157,X_159),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_159)),bind(Y,$fot(X_157))]]) ).

cnf(refute_0_3547,plain,
    ( meet(X_159,X_157) != meet(X_157,X_159)
    | meet(X_157,X_159) = meet(X_159,X_157) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_159,X_157))),bind(Y0,$fot(meet(X_157,X_159)))]]) ).

cnf(refute_0_3548,plain,
    meet(X_157,X_159) = meet(X_159,X_157),
    inference(resolve,[$cnf( $equal(meet(X_159,X_157),meet(X_157,X_159)) )],[refute_0_3546,refute_0_3547]) ).

cnf(refute_0_3549,plain,
    ( join(meet(X_157,X_158),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))
    | meet(X_157,X_159) != meet(X_159,X_157)
    | join(meet(X_157,X_158),meet(X_159,X_157)) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_157,X_158),meet(X_157,X_159)),meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))) ),[0,1],$fot(meet(X_159,X_157))]]) ).

cnf(refute_0_3550,plain,
    ( join(meet(X_157,X_158),meet(X_157,X_159)) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))
    | join(meet(X_157,X_158),meet(X_159,X_157)) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))) ),
    inference(resolve,[$cnf( $equal(meet(X_157,X_159),meet(X_159,X_157)) )],[refute_0_3548,refute_0_3549]) ).

cnf(refute_0_3551,plain,
    join(meet(X_157,X_158),meet(X_159,X_157)) = meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))),
    inference(resolve,[$cnf( $equal(join(meet(X_157,X_158),meet(X_157,X_159)),meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))) )],[refute_0_1179,refute_0_3550]) ).

cnf(refute_0_3552,plain,
    ( join(meet(X_157,X_158),meet(X_159,X_157)) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))
    | meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))) != join(meet(X_157,X_158),meet(X_157,X_159))
    | join(meet(X_157,X_158),meet(X_159,X_157)) = join(meet(X_157,X_158),meet(X_157,X_159)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_157,X_158),meet(X_159,X_157)),join(meet(X_157,X_158),meet(X_157,X_159))) ),[0],$fot(meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))))]]) ).

cnf(refute_0_3553,plain,
    ( join(meet(X_157,X_158),meet(X_159,X_157)) != meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))
    | join(meet(X_157,X_158),meet(X_159,X_157)) = join(meet(X_157,X_158),meet(X_157,X_159)) ),
    inference(resolve,[$cnf( $equal(meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159))))),join(meet(X_157,X_158),meet(X_157,X_159))) )],[refute_0_1186,refute_0_3552]) ).

cnf(refute_0_3554,plain,
    join(meet(X_157,X_158),meet(X_159,X_157)) = join(meet(X_157,X_158),meet(X_157,X_159)),
    inference(resolve,[$cnf( $equal(join(meet(X_157,X_158),meet(X_159,X_157)),meet(X_157,join(meet(X_157,X_158),join(meet(X_157,X_159),meet(X_158,join(X_157,X_159)))))) )],[refute_0_3551,refute_0_3553]) ).

cnf(refute_0_3555,plain,
    join(meet(Y,X_31),meet(X_606,Y)) = join(meet(Y,X_31),meet(Y,X_606)),
    inference(subst,[],[refute_0_3554:[bind(X_157,$fot(Y)),bind(X_158,$fot(X_31)),bind(X_159,$fot(X_606))]]) ).

cnf(refute_0_3556,plain,
    ( join(X_31,meet(X_606,Y)) != join(X_31,join(meet(Y,X_31),meet(X_606,Y)))
    | join(meet(Y,X_31),meet(X_606,Y)) != join(meet(Y,X_31),meet(Y,X_606))
    | join(X_31,meet(X_606,Y)) = join(X_31,join(meet(Y,X_31),meet(Y,X_606))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_31,meet(X_606,Y)),join(X_31,join(meet(Y,X_31),meet(X_606,Y)))) ),[1,1],$fot(join(meet(Y,X_31),meet(Y,X_606)))]]) ).

cnf(refute_0_3557,plain,
    ( join(X_31,meet(X_606,Y)) != join(X_31,join(meet(Y,X_31),meet(X_606,Y)))
    | join(X_31,meet(X_606,Y)) = join(X_31,join(meet(Y,X_31),meet(Y,X_606))) ),
    inference(resolve,[$cnf( $equal(join(meet(Y,X_31),meet(X_606,Y)),join(meet(Y,X_31),meet(Y,X_606))) )],[refute_0_3555,refute_0_3556]) ).

cnf(refute_0_3558,plain,
    join(X_31,meet(X_606,Y)) = join(X_31,join(meet(Y,X_31),meet(Y,X_606))),
    inference(resolve,[$cnf( $equal(join(X_31,meet(X_606,Y)),join(X_31,join(meet(Y,X_31),meet(X_606,Y)))) )],[refute_0_3545,refute_0_3557]) ).

cnf(refute_0_3559,plain,
    join(X_31,join(meet(Y,X_31),meet(Y,X_606))) = join(X_31,meet(Y,X_606)),
    inference(subst,[],[refute_0_561:[bind(X_33,$fot(meet(Y,X_606)))]]) ).

cnf(refute_0_3560,plain,
    ( join(X_31,join(meet(Y,X_31),meet(Y,X_606))) != join(X_31,meet(Y,X_606))
    | join(X_31,meet(X_606,Y)) != join(X_31,join(meet(Y,X_31),meet(Y,X_606)))
    | join(X_31,meet(X_606,Y)) = join(X_31,meet(Y,X_606)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_31,meet(X_606,Y)),join(X_31,join(meet(Y,X_31),meet(Y,X_606)))) ),[1],$fot(join(X_31,meet(Y,X_606)))]]) ).

cnf(refute_0_3561,plain,
    ( join(X_31,meet(X_606,Y)) != join(X_31,join(meet(Y,X_31),meet(Y,X_606)))
    | join(X_31,meet(X_606,Y)) = join(X_31,meet(Y,X_606)) ),
    inference(resolve,[$cnf( $equal(join(X_31,join(meet(Y,X_31),meet(Y,X_606))),join(X_31,meet(Y,X_606))) )],[refute_0_3559,refute_0_3560]) ).

cnf(refute_0_3562,plain,
    join(X_31,meet(X_606,Y)) = join(X_31,meet(Y,X_606)),
    inference(resolve,[$cnf( $equal(join(X_31,meet(X_606,Y)),join(X_31,join(meet(Y,X_31),meet(Y,X_606)))) )],[refute_0_3558,refute_0_3561]) ).

cnf(refute_0_3563,plain,
    ( join(X_31,meet(X_606,Y)) != join(X_31,meet(Y,X_606))
    | join(X_31,meet(Y,X_606)) = join(X_31,meet(X_606,Y)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X_31,meet(X_606,Y)))),bind(Y0,$fot(join(X_31,meet(Y,X_606))))]]) ).

cnf(refute_0_3564,plain,
    join(X_31,meet(Y,X_606)) = join(X_31,meet(X_606,Y)),
    inference(resolve,[$cnf( $equal(join(X_31,meet(X_606,Y)),join(X_31,meet(Y,X_606))) )],[refute_0_3562,refute_0_3563]) ).

cnf(refute_0_3565,plain,
    join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) = join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(subst,[],[refute_0_3564:[bind(Y,$fot(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(X_31,$fot(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))),bind(X_606,$fot(complement(a)))]]) ).

cnf(refute_0_3566,plain,
    join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))),
    inference(subst,[],[refute_0_3534:[bind(Y,$fot(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)))),bind(X_456,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3567,plain,
    ( join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)))
    | join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) != join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(Y0,$fot(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))))),bind(Z0,$fot(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))))]]) ).

cnf(refute_0_3568,plain,
    ( join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) != join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)))) )],[refute_0_3566,refute_0_3567]) ).

cnf(refute_0_3569,plain,
    join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(resolve,[$cnf( $equal(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))),join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3565,refute_0_3568]) ).

cnf(refute_0_3570,plain,
    ( join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),bind(Y0,$fot(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))),bind(Z0,$fot(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))]]) ).

cnf(refute_0_3571,plain,
    ( join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3569,refute_0_3570]) ).

cnf(refute_0_3572,plain,
    join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),
    inference(resolve,[$cnf( $equal(join(meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3544,refute_0_3571]) ).

cnf(refute_0_3573,plain,
    ( join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))
    | join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))
    | meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) ),[0],$fot(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3574,plain,
    ( join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))
    | meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) ),
    inference(resolve,[$cnf( $equal(join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) )],[refute_0_3572,refute_0_3573]) ).

cnf(refute_0_3575,plain,
    join(zero,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),
    inference(subst,[],[refute_0_1415:[bind(Y,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3576,plain,
    meet(a,complement(a)) = zero,
    inference(subst,[],[complement_meet:[bind(X,$fot(a))]]) ).

cnf(refute_0_3577,plain,
    join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    introduced(tautology,[refl,[$fot(join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3578,plain,
    ( join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | meet(a,complement(a)) != zero
    | join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(zero,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_3579,plain,
    ( meet(a,complement(a)) != zero
    | join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(zero,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3577,refute_0_3578]) ).

cnf(refute_0_3580,plain,
    join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(zero,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(meet(a,complement(a)),zero) )],[refute_0_3576,refute_0_3579]) ).

cnf(refute_0_3581,plain,
    ( join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != join(zero,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(zero,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(Y0,$fot(join(zero,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(Z0,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3582,plain,
    ( join(zero,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(zero,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3580,refute_0_3581]) ).

cnf(refute_0_3583,plain,
    join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),
    inference(resolve,[$cnf( $equal(join(zero,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) )],[refute_0_3575,refute_0_3582]) ).

cnf(refute_0_3584,plain,
    join(meet(a,complement(a)),meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a))) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(subst,[],[refute_0_3564:[bind(Y,$fot(complement(meet(a,join(complement(b),meet(b,complement(a))))))),bind(X_31,$fot(meet(a,complement(a)))),bind(X_606,$fot(complement(a)))]]) ).

cnf(refute_0_3585,plain,
    join(meet(X_604,X_605),meet(X_606,X_604)) = join(meet(X_604,X_605),meet(X_604,X_606)),
    inference(subst,[],[refute_0_3554:[bind(X_157,$fot(X_604)),bind(X_158,$fot(X_605)),bind(X_159,$fot(X_606))]]) ).

cnf(refute_0_3586,plain,
    meet(X_605,X_604) = meet(X_604,X_605),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_605)),bind(Y,$fot(X_604))]]) ).

cnf(refute_0_3587,plain,
    ( meet(X_605,X_604) != meet(X_604,X_605)
    | meet(X_604,X_605) = meet(X_605,X_604) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X_605,X_604))),bind(Y0,$fot(meet(X_604,X_605)))]]) ).

cnf(refute_0_3588,plain,
    meet(X_604,X_605) = meet(X_605,X_604),
    inference(resolve,[$cnf( $equal(meet(X_605,X_604),meet(X_604,X_605)) )],[refute_0_3586,refute_0_3587]) ).

cnf(refute_0_3589,plain,
    ( join(meet(X_604,X_605),meet(X_606,X_604)) != join(meet(X_604,X_605),meet(X_604,X_606))
    | meet(X_604,X_605) != meet(X_605,X_604)
    | join(meet(X_605,X_604),meet(X_606,X_604)) = join(meet(X_604,X_605),meet(X_604,X_606)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_604,X_605),meet(X_606,X_604)),join(meet(X_604,X_605),meet(X_604,X_606))) ),[0,0],$fot(meet(X_605,X_604))]]) ).

cnf(refute_0_3590,plain,
    ( join(meet(X_604,X_605),meet(X_606,X_604)) != join(meet(X_604,X_605),meet(X_604,X_606))
    | join(meet(X_605,X_604),meet(X_606,X_604)) = join(meet(X_604,X_605),meet(X_604,X_606)) ),
    inference(resolve,[$cnf( $equal(meet(X_604,X_605),meet(X_605,X_604)) )],[refute_0_3588,refute_0_3589]) ).

cnf(refute_0_3591,plain,
    join(meet(X_605,X_604),meet(X_606,X_604)) = join(meet(X_604,X_605),meet(X_604,X_606)),
    inference(resolve,[$cnf( $equal(join(meet(X_604,X_605),meet(X_606,X_604)),join(meet(X_604,X_605),meet(X_604,X_606))) )],[refute_0_3585,refute_0_3590]) ).

cnf(refute_0_3592,plain,
    ( join(meet(X_605,X_604),meet(X_606,X_604)) != join(meet(X_604,X_605),meet(X_604,X_606))
    | join(meet(X_604,X_605),meet(X_604,X_606)) = join(meet(X_605,X_604),meet(X_606,X_604)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(X_605,X_604),meet(X_606,X_604)))),bind(Y0,$fot(join(meet(X_604,X_605),meet(X_604,X_606))))]]) ).

cnf(refute_0_3593,plain,
    join(meet(X_604,X_605),meet(X_604,X_606)) = join(meet(X_605,X_604),meet(X_606,X_604)),
    inference(resolve,[$cnf( $equal(join(meet(X_605,X_604),meet(X_606,X_604)),join(meet(X_604,X_605),meet(X_604,X_606))) )],[refute_0_3591,refute_0_3592]) ).

cnf(refute_0_3594,plain,
    join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(meet(a,complement(a)),meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a))),
    inference(subst,[],[refute_0_3593:[bind(X_604,$fot(complement(a))),bind(X_605,$fot(a)),bind(X_606,$fot(complement(meet(a,join(complement(b),meet(b,complement(a)))))))]]) ).

cnf(refute_0_3595,plain,
    ( join(meet(a,complement(a)),meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a))) != join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != join(meet(a,complement(a)),meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a)))
    | join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(Y0,$fot(join(meet(a,complement(a)),meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a))))),bind(Z0,$fot(join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3596,plain,
    ( join(meet(a,complement(a)),meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a))) != join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(a,complement(a)),meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a)))) )],[refute_0_3594,refute_0_3595]) ).

cnf(refute_0_3597,plain,
    join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(join(meet(a,complement(a)),meet(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(a))),join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3584,refute_0_3596]) ).

cnf(refute_0_3598,plain,
    join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))),
    inference(subst,[],[equation_H18:[bind(X,$fot(complement(a))),bind(Z,$fot(complement(meet(a,join(complement(b),meet(b,complement(a)))))))]]) ).

cnf(refute_0_3599,plain,
    join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = join(complement(a),join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(subst,[],[refute_0_559:[bind(Y,$fot(b)),bind(X_31,$fot(complement(a))),bind(X_33,$fot(complement(meet(a,join(complement(b),meet(b,complement(a)))))))]]) ).

cnf(refute_0_3600,plain,
    ( join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != join(complement(a),join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != one
    | join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = join(complement(a),one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(complement(a),join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_3601,plain,
    ( join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != join(complement(a),join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = join(complement(a),one) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))),one) )],[refute_0_3255,refute_0_3600]) ).

cnf(refute_0_3602,plain,
    join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = join(complement(a),one),
    inference(resolve,[$cnf( $equal(join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(complement(a),join(meet(b,complement(a)),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3599,refute_0_3601]) ).

cnf(refute_0_3603,plain,
    join(complement(a),one) = one,
    inference(subst,[],[refute_0_1583:[bind(X_10,$fot(complement(a)))]]) ).

cnf(refute_0_3604,plain,
    ( join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != join(complement(a),one)
    | join(complement(a),one) != one
    | join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = one ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),one) ),[0],$fot(join(complement(a),one))]]) ).

cnf(refute_0_3605,plain,
    ( join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != join(complement(a),one)
    | join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = one ),
    inference(resolve,[$cnf( $equal(join(complement(a),one),one) )],[refute_0_3603,refute_0_3604]) ).

cnf(refute_0_3606,plain,
    join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = one,
    inference(resolve,[$cnf( $equal(join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(complement(a),one)) )],[refute_0_3602,refute_0_3605]) ).

cnf(refute_0_3607,plain,
    ( join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != one
    | join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))
    | join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))) ),[1,1,1,1,1],$fot(one)]]) ).

cnf(refute_0_3608,plain,
    ( join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))
    | join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))) ),
    inference(resolve,[$cnf( $equal(join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),one) )],[refute_0_3606,refute_0_3607]) ).

cnf(refute_0_3609,plain,
    join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,join(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))) )],[refute_0_3598,refute_0_3608]) ).

cnf(refute_0_3610,plain,
    join(Y,join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y),
    inference(subst,[],[refute_0_185:[bind(Y,$fot(complement(a))),bind(X_65,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),bind(X_66,$fot(Y))]]) ).

cnf(refute_0_3611,plain,
    join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) = join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))),
    introduced(tautology,[refl,[$fot(join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))))]]) ).

cnf(refute_0_3612,plain,
    ( join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) != join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y)))
    | meet(Y,one) != Y
    | join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) = join(Y,join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))),join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y)))) ),[1,0],$fot(Y)]]) ).

cnf(refute_0_3613,plain,
    ( meet(Y,one) != Y
    | join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) = join(Y,join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) ),
    inference(resolve,[$cnf( $equal(join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))),join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y)))) )],[refute_0_3611,refute_0_3612]) ).

cnf(refute_0_3614,plain,
    join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) = join(Y,join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))),
    inference(resolve,[$cnf( $equal(meet(Y,one),Y) )],[refute_0_1573,refute_0_3613]) ).

cnf(refute_0_3615,plain,
    ( join(Y,join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)
    | join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) != join(Y,join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y)))
    | join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))))),bind(Y0,$fot(join(Y,join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))))),bind(Z0,$fot(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)))]]) ).

cnf(refute_0_3616,plain,
    ( join(Y,join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)
    | join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y) ),
    inference(resolve,[$cnf( $equal(join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))),join(Y,join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y)))) )],[refute_0_3614,refute_0_3615]) ).

cnf(refute_0_3617,plain,
    join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y),
    inference(resolve,[$cnf( $equal(join(Y,join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)) )],[refute_0_3610,refute_0_3616]) ).

cnf(refute_0_3618,plain,
    join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))) = join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))),
    inference(subst,[],[refute_0_307:[bind(Y,$fot(meet(Y,one))),bind(X_154,$fot(meet(complement(a),Y))),bind(X_155,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3619,plain,
    ( join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)
    | join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))) != join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y)))
    | join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))))),bind(Y0,$fot(join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))))),bind(Z0,$fot(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)))]]) ).

cnf(refute_0_3620,plain,
    ( join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)
    | join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))),join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y)))) )],[refute_0_3618,refute_0_3619]) ).

cnf(refute_0_3621,plain,
    join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y),
    inference(resolve,[$cnf( $equal(join(meet(Y,one),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),Y))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)) )],[refute_0_3617,refute_0_3620]) ).

cnf(refute_0_3622,plain,
    meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))) = meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))),
    introduced(tautology,[refl,[$fot(meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))))]]) ).

cnf(refute_0_3623,plain,
    ( join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)
    | meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))) != meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))))
    | meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))) = meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))),meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))))) ),[1,1],$fot(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y))]]) ).

cnf(refute_0_3624,plain,
    ( join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)
    | meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))) = meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))),meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))))) )],[refute_0_3622,refute_0_3623]) ).

cnf(refute_0_3625,plain,
    meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))) = meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)) )],[refute_0_3621,refute_0_3624]) ).

cnf(refute_0_3626,plain,
    ( join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))))
    | meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))) != meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y))
    | join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y))) ),[0],$fot(meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))))]]) ).

cnf(refute_0_3627,plain,
    ( join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))))
    | join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one)))),meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y))) )],[refute_0_3625,refute_0_3626]) ).

cnf(refute_0_3628,plain,
    join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(meet(complement(a),Y),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(Y,one))))) )],[refute_0_3609,refute_0_3627]) ).

cnf(refute_0_3629,plain,
    ( join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y))
    | meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)) = join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(Y0,$fot(meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y))))]]) ).

cnf(refute_0_3630,plain,
    meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y)) = join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),Y),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),Y))) )],[refute_0_3628,refute_0_3629]) ).

cnf(refute_0_3631,plain,
    meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)) = join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(subst,[],[refute_0_3630:[bind(Y,$fot(a))]]) ).

cnf(refute_0_3632,plain,
    ( join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)) != join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)))),bind(Y0,$fot(join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(Z0,$fot(join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3633,plain,
    ( join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)),join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3631,refute_0_3632]) ).

cnf(refute_0_3634,plain,
    meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),a),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3597,refute_0_3633]) ).

cnf(refute_0_3635,plain,
    meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) = meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)),
    inference(subst,[],[refute_0_1781:[bind(Y,$fot(complement(a))),bind(X_518,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3636,plain,
    ( meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)) != join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) != meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a))
    | meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)))),bind(Y0,$fot(meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)))),bind(Z0,$fot(join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3637,plain,
    ( meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)) != join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a))) )],[refute_0_3635,refute_0_3636]) ).

cnf(refute_0_3638,plain,
    meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) = join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),a)),join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3634,refute_0_3637]) ).

cnf(refute_0_3639,plain,
    ( join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) != join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)))),bind(Y0,$fot(join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),bind(Z0,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3640,plain,
    ( join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3638,refute_0_3639]) ).

cnf(refute_0_3641,plain,
    meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),
    inference(resolve,[$cnf( $equal(join(meet(a,complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) )],[refute_0_3583,refute_0_3640]) ).

cnf(refute_0_3642,plain,
    ( meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))
    | meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)) != meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),[0],$fot(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)))]]) ).

cnf(refute_0_3643,plain,
    ( meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))
    | meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) )],[refute_0_3641,refute_0_3642]) ).

cnf(refute_0_3644,plain,
    ( join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))
    | meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) )],[refute_0_3574,refute_0_3643]) ).

cnf(refute_0_3645,plain,
    meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),
    inference(resolve,[$cnf( $equal(join(meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a)),meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),complement(a))) )],[refute_0_3515,refute_0_3644]) ).

cnf(refute_0_3646,plain,
    join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),
    introduced(tautology,[refl,[$fot(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))]]) ).

cnf(refute_0_3647,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)
    | meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) ),[1,0],$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))]]) ).

cnf(refute_0_3648,plain,
    ( meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) != meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) )],[refute_0_3646,refute_0_3647]) ).

cnf(refute_0_3649,plain,
    join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33),
    inference(resolve,[$cnf( $equal(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) )],[refute_0_3645,refute_0_3648]) ).

cnf(refute_0_3650,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))) ),[0],$fot(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33))]]) ).

cnf(refute_0_3651,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) )],[refute_0_3649,refute_0_3650]) ).

cnf(refute_0_3652,plain,
    join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(subst,[],[refute_0_185:[bind(Y,$fot(b)),bind(X_65,$fot(X_33)),bind(X_66,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3653,plain,
    join(join(X,Y),meet(b,X_456)) = join(X,join(Y,meet(b,X_456))),
    inference(subst,[],[associativity_of_join:[bind(Z,$fot(meet(b,X_456)))]]) ).

cnf(refute_0_3654,plain,
    join(join(X,Y),meet(b,X_456)) = join(join(X,Y),meet(X_456,b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(join(X,Y))),bind(X_331,$fot(X_456))]]) ).

cnf(refute_0_3655,plain,
    ( join(join(X,Y),meet(b,X_456)) != join(X,join(Y,meet(b,X_456)))
    | join(join(X,Y),meet(b,X_456)) != join(join(X,Y),meet(X_456,b))
    | join(join(X,Y),meet(X_456,b)) = join(X,join(Y,meet(b,X_456))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,Y),meet(b,X_456)),join(X,join(Y,meet(b,X_456)))) ),[0],$fot(join(join(X,Y),meet(X_456,b)))]]) ).

cnf(refute_0_3656,plain,
    ( join(join(X,Y),meet(b,X_456)) != join(X,join(Y,meet(b,X_456)))
    | join(join(X,Y),meet(X_456,b)) = join(X,join(Y,meet(b,X_456))) ),
    inference(resolve,[$cnf( $equal(join(join(X,Y),meet(b,X_456)),join(join(X,Y),meet(X_456,b))) )],[refute_0_3654,refute_0_3655]) ).

cnf(refute_0_3657,plain,
    join(join(X,Y),meet(X_456,b)) = join(X,join(Y,meet(b,X_456))),
    inference(resolve,[$cnf( $equal(join(join(X,Y),meet(b,X_456)),join(X,join(Y,meet(b,X_456)))) )],[refute_0_3653,refute_0_3656]) ).

cnf(refute_0_3658,plain,
    join(join(X,Y),meet(X_456,b)) = join(X,join(Y,meet(X_456,b))),
    inference(subst,[],[associativity_of_join:[bind(Z,$fot(meet(X_456,b)))]]) ).

cnf(refute_0_3659,plain,
    ( join(join(X,Y),meet(X_456,b)) != join(X,join(Y,meet(X_456,b)))
    | join(join(X,Y),meet(X_456,b)) != join(X,join(Y,meet(b,X_456)))
    | join(X,join(Y,meet(X_456,b))) = join(X,join(Y,meet(b,X_456))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,Y),meet(X_456,b)),join(X,join(Y,meet(b,X_456)))) ),[0],$fot(join(X,join(Y,meet(X_456,b))))]]) ).

cnf(refute_0_3660,plain,
    ( join(join(X,Y),meet(X_456,b)) != join(X,join(Y,meet(b,X_456)))
    | join(X,join(Y,meet(X_456,b))) = join(X,join(Y,meet(b,X_456))) ),
    inference(resolve,[$cnf( $equal(join(join(X,Y),meet(X_456,b)),join(X,join(Y,meet(X_456,b)))) )],[refute_0_3658,refute_0_3659]) ).

cnf(refute_0_3661,plain,
    join(X,join(Y,meet(X_456,b))) = join(X,join(Y,meet(b,X_456))),
    inference(resolve,[$cnf( $equal(join(join(X,Y),meet(X_456,b)),join(X,join(Y,meet(b,X_456)))) )],[refute_0_3657,refute_0_3660]) ).

cnf(refute_0_3662,plain,
    join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),
    inference(subst,[],[refute_0_3661:[bind(X,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),bind(Y,$fot(X_33)),bind(X_456,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3663,plain,
    ( join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))))),bind(Y0,$fot(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))))),bind(Z0,$fot(join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3664,plain,
    ( join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))) )],[refute_0_3662,refute_0_3663]) ).

cnf(refute_0_3665,plain,
    join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))),join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3652,refute_0_3664]) ).

cnf(refute_0_3666,plain,
    join(meet(b,X_456),join(X_31,X_32)) = join(X_31,join(X_32,meet(b,X_456))),
    inference(subst,[],[refute_0_167:[bind(X,$fot(meet(b,X_456)))]]) ).

cnf(refute_0_3667,plain,
    join(X_32,meet(b,X_456)) = join(X_32,meet(X_456,b)),
    inference(subst,[],[refute_0_910:[bind(X,$fot(X_32)),bind(X_331,$fot(X_456))]]) ).

cnf(refute_0_3668,plain,
    ( join(X_32,meet(b,X_456)) != join(X_32,meet(X_456,b))
    | join(meet(b,X_456),join(X_31,X_32)) != join(X_31,join(X_32,meet(b,X_456)))
    | join(meet(b,X_456),join(X_31,X_32)) = join(X_31,join(X_32,meet(X_456,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,X_456),join(X_31,X_32)),join(X_31,join(X_32,meet(b,X_456)))) ),[1,1],$fot(join(X_32,meet(X_456,b)))]]) ).

cnf(refute_0_3669,plain,
    ( join(meet(b,X_456),join(X_31,X_32)) != join(X_31,join(X_32,meet(b,X_456)))
    | join(meet(b,X_456),join(X_31,X_32)) = join(X_31,join(X_32,meet(X_456,b))) ),
    inference(resolve,[$cnf( $equal(join(X_32,meet(b,X_456)),join(X_32,meet(X_456,b))) )],[refute_0_3667,refute_0_3668]) ).

cnf(refute_0_3670,plain,
    join(meet(b,X_456),join(X_31,X_32)) = join(X_31,join(X_32,meet(X_456,b))),
    inference(resolve,[$cnf( $equal(join(meet(b,X_456),join(X_31,X_32)),join(X_31,join(X_32,meet(b,X_456)))) )],[refute_0_3666,refute_0_3669]) ).

cnf(refute_0_3671,plain,
    join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))),
    inference(subst,[],[refute_0_3670:[bind(X_31,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),bind(X_32,$fot(X_33)),bind(X_456,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3672,plain,
    ( join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b)))
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)))),bind(Y0,$fot(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))))),bind(Z0,$fot(join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3673,plain,
    ( join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b)))) )],[refute_0_3671,refute_0_3672]) ).

cnf(refute_0_3674,plain,
    join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),join(X_33,meet(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),b))),join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3665,refute_0_3673]) ).

cnf(refute_0_3675,plain,
    join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)),
    introduced(tautology,[refl,[$fot(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)))]]) ).

cnf(refute_0_3676,plain,
    ( join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))
    | join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)
    | join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))) ),[1,1],$fot(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33))]]) ).

cnf(refute_0_3677,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)
    | join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))) )],[refute_0_3675,refute_0_3676]) ).

cnf(refute_0_3678,plain,
    join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) = join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) )],[refute_0_3649,refute_0_3677]) ).

cnf(refute_0_3679,plain,
    ( join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33))
    | join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)))),bind(Y0,$fot(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)))),bind(Z0,$fot(join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))))]]) ).

cnf(refute_0_3680,plain,
    ( join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33))) )],[refute_0_3678,refute_0_3679]) ).

cnf(refute_0_3681,plain,
    join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)),join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3674,refute_0_3680]) ).

cnf(refute_0_3682,plain,
    ( join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))) ),[1],$fot(join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3683,plain,
    ( join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33)),join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3681,refute_0_3682]) ).

cnf(refute_0_3684,plain,
    ( join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33) != join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))) )],[refute_0_3651,refute_0_3683]) ).

cnf(refute_0_3685,plain,
    join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33),join(meet(b,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(meet(complement(a),join(a,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),X_33))) )],[refute_0_3506,refute_0_3684]) ).

cnf(refute_0_3686,plain,
    meet(one,complement(a)) = complement(a),
    inference(subst,[],[refute_0_145:[bind(X_9,$fot(complement(a)))]]) ).

cnf(refute_0_3687,plain,
    meet(complement(a),one) = meet(one,complement(a)),
    inference(subst,[],[refute_0_106:[bind(X,$fot(one)),bind(Y,$fot(complement(a)))]]) ).

cnf(refute_0_3688,plain,
    ( meet(complement(a),one) != meet(one,complement(a))
    | meet(one,complement(a)) != complement(a)
    | meet(complement(a),one) = complement(a) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(a),one))),bind(Y0,$fot(meet(one,complement(a)))),bind(Z0,$fot(complement(a)))]]) ).

cnf(refute_0_3689,plain,
    ( meet(one,complement(a)) != complement(a)
    | meet(complement(a),one) = complement(a) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),one),meet(one,complement(a))) )],[refute_0_3687,refute_0_3688]) ).

cnf(refute_0_3690,plain,
    meet(complement(a),one) = complement(a),
    inference(resolve,[$cnf( $equal(meet(one,complement(a)),complement(a)) )],[refute_0_3686,refute_0_3689]) ).

cnf(refute_0_3691,plain,
    complement(meet(a,join(complement(b),meet(b,complement(a))))) = complement(meet(a,join(complement(b),meet(b,complement(a))))),
    introduced(tautology,[refl,[$fot(complement(meet(a,join(complement(b),meet(b,complement(a))))))]]) ).

cnf(refute_0_3692,plain,
    ( complement(meet(a,join(complement(b),meet(b,complement(a))))) != complement(meet(a,join(complement(b),meet(b,complement(a)))))
    | meet(a,join(complement(b),meet(b,complement(a)))) != zero
    | complement(meet(a,join(complement(b),meet(b,complement(a))))) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(meet(a,join(complement(b),meet(b,complement(a)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_3693,plain,
    ( meet(a,join(complement(b),meet(b,complement(a)))) != zero
    | complement(meet(a,join(complement(b),meet(b,complement(a))))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(meet(a,join(complement(b),meet(b,complement(a)))))) )],[refute_0_3691,refute_0_3692]) ).

cnf(refute_0_3694,plain,
    complement(meet(a,join(complement(b),meet(b,complement(a))))) = complement(zero),
    inference(resolve,[$cnf( $equal(meet(a,join(complement(b),meet(b,complement(a)))),zero) )],[refute_0_3119,refute_0_3693]) ).

cnf(refute_0_3695,plain,
    ( complement(meet(a,join(complement(b),meet(b,complement(a))))) != complement(zero)
    | complement(zero) != one
    | complement(meet(a,join(complement(b),meet(b,complement(a))))) = one ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(complement(meet(a,join(complement(b),meet(b,complement(a))))))),bind(Y0,$fot(complement(zero))),bind(Z0,$fot(one))]]) ).

cnf(refute_0_3696,plain,
    ( complement(zero) != one
    | complement(meet(a,join(complement(b),meet(b,complement(a))))) = one ),
    inference(resolve,[$cnf( $equal(complement(meet(a,join(complement(b),meet(b,complement(a))))),complement(zero)) )],[refute_0_3694,refute_0_3695]) ).

cnf(refute_0_3697,plain,
    complement(meet(a,join(complement(b),meet(b,complement(a))))) = one,
    inference(resolve,[$cnf( $equal(complement(zero),one) )],[refute_0_1998,refute_0_3696]) ).

cnf(refute_0_3698,plain,
    meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),
    introduced(tautology,[refl,[$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))]]) ).

cnf(refute_0_3699,plain,
    ( complement(meet(a,join(complement(b),meet(b,complement(a))))) != one
    | meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))
    | meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = meet(complement(a),one) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_3700,plain,
    ( complement(meet(a,join(complement(b),meet(b,complement(a))))) != one
    | meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = meet(complement(a),one) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) )],[refute_0_3698,refute_0_3699]) ).

cnf(refute_0_3701,plain,
    meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = meet(complement(a),one),
    inference(resolve,[$cnf( $equal(complement(meet(a,join(complement(b),meet(b,complement(a))))),one) )],[refute_0_3697,refute_0_3700]) ).

cnf(refute_0_3702,plain,
    ( meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != meet(complement(a),one)
    | meet(complement(a),one) != complement(a)
    | meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = complement(a) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))),bind(Y0,$fot(meet(complement(a),one))),bind(Z0,$fot(complement(a)))]]) ).

cnf(refute_0_3703,plain,
    ( meet(complement(a),one) != complement(a)
    | meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = complement(a) ),
    inference(resolve,[$cnf( $equal(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),meet(complement(a),one)) )],[refute_0_3701,refute_0_3702]) ).

cnf(refute_0_3704,plain,
    meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) = complement(a),
    inference(resolve,[$cnf( $equal(meet(complement(a),one),complement(a)) )],[refute_0_3690,refute_0_3703]) ).

cnf(refute_0_3705,plain,
    join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) = join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33),
    introduced(tautology,[refl,[$fot(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33))]]) ).

cnf(refute_0_3706,plain,
    ( join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) != join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)
    | meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != complement(a)
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) = join(complement(a),X_33) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) ),[1,0],$fot(complement(a))]]) ).

cnf(refute_0_3707,plain,
    ( meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != complement(a)
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) = join(complement(a),X_33) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33),join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33)) )],[refute_0_3705,refute_0_3706]) ).

cnf(refute_0_3708,plain,
    join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) = join(complement(a),X_33),
    inference(resolve,[$cnf( $equal(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),complement(a)) )],[refute_0_3704,refute_0_3707]) ).

cnf(refute_0_3709,plain,
    ( join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) != join(complement(a),X_33)
    | join(complement(a),X_33) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33),join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),[0],$fot(join(complement(a),X_33))]]) ).

cnf(refute_0_3710,plain,
    ( join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(complement(a),X_33) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33),join(complement(a),X_33)) )],[refute_0_3708,refute_0_3709]) ).

cnf(refute_0_3711,plain,
    join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),
    introduced(tautology,[refl,[$fot(join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))))]]) ).

cnf(refute_0_3712,plain,
    ( join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != complement(a)
    | join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(X_33,complement(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),[1,1],$fot(complement(a))]]) ).

cnf(refute_0_3713,plain,
    ( meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))) != complement(a)
    | join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(X_33,complement(a)) ),
    inference(resolve,[$cnf( $equal(join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3711,refute_0_3712]) ).

cnf(refute_0_3714,plain,
    join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) = join(X_33,complement(a)),
    inference(resolve,[$cnf( $equal(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),complement(a)) )],[refute_0_3704,refute_0_3713]) ).

cnf(refute_0_3715,plain,
    ( join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))) != join(X_33,complement(a))
    | join(complement(a),X_33) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(complement(a),X_33) = join(X_33,complement(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(a),X_33),join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) ),[1],$fot(join(X_33,complement(a)))]]) ).

cnf(refute_0_3716,plain,
    ( join(complement(a),X_33) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(complement(a),X_33) = join(X_33,complement(a)) ),
    inference(resolve,[$cnf( $equal(join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a))))))),join(X_33,complement(a))) )],[refute_0_3714,refute_0_3715]) ).

cnf(refute_0_3717,plain,
    ( join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33) != join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))
    | join(complement(a),X_33) = join(X_33,complement(a)) ),
    inference(resolve,[$cnf( $equal(join(complement(a),X_33),join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3710,refute_0_3716]) ).

cnf(refute_0_3718,plain,
    join(complement(a),X_33) = join(X_33,complement(a)),
    inference(resolve,[$cnf( $equal(join(meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))),X_33),join(X_33,meet(complement(a),complement(meet(a,join(complement(b),meet(b,complement(a)))))))) )],[refute_0_3685,refute_0_3717]) ).

cnf(refute_0_3719,plain,
    ( join(complement(a),X_33) != join(X_33,complement(a))
    | join(X_33,complement(a)) = join(complement(a),X_33) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(complement(a),X_33))),bind(Y0,$fot(join(X_33,complement(a))))]]) ).

cnf(refute_0_3720,plain,
    join(X_33,complement(a)) = join(complement(a),X_33),
    inference(resolve,[$cnf( $equal(join(complement(a),X_33),join(X_33,complement(a))) )],[refute_0_3718,refute_0_3719]) ).

cnf(refute_0_3721,plain,
    join(complement(b),complement(a)) = join(complement(a),complement(b)),
    inference(subst,[],[refute_0_3720:[bind(X_33,$fot(complement(b)))]]) ).

cnf(refute_0_3722,plain,
    join(meet(b,complement(a)),join(complement(b),X_103)) = join(X_103,join(complement(b),meet(b,complement(a)))),
    inference(subst,[],[refute_0_387:[bind(X,$fot(meet(b,complement(a)))),bind(X_31,$fot(complement(b)))]]) ).

cnf(refute_0_3723,plain,
    ( join(complement(b),meet(b,complement(a))) != complement(a)
    | join(meet(b,complement(a)),join(complement(b),X_103)) != join(X_103,join(complement(b),meet(b,complement(a))))
    | join(meet(b,complement(a)),join(complement(b),X_103)) = join(X_103,complement(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(a)),join(complement(b),X_103)),join(X_103,join(complement(b),meet(b,complement(a))))) ),[1,1],$fot(complement(a))]]) ).

cnf(refute_0_3724,plain,
    ( join(meet(b,complement(a)),join(complement(b),X_103)) != join(X_103,join(complement(b),meet(b,complement(a))))
    | join(meet(b,complement(a)),join(complement(b),X_103)) = join(X_103,complement(a)) ),
    inference(resolve,[$cnf( $equal(join(complement(b),meet(b,complement(a))),complement(a)) )],[refute_0_3147,refute_0_3723]) ).

cnf(refute_0_3725,plain,
    join(meet(b,complement(a)),join(complement(b),X_103)) = join(X_103,complement(a)),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(complement(b),X_103)),join(X_103,join(complement(b),meet(b,complement(a))))) )],[refute_0_3722,refute_0_3724]) ).

cnf(refute_0_3726,plain,
    join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) = join(X,join(meet(X_840,X_841),join(meet(X_841,X_840),X_839))),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(X_840,X_841))),bind(Z,$fot(join(meet(X_841,X_840),X_839)))]]) ).

cnf(refute_0_3727,plain,
    join(meet(X_840,X_841),X_839) = join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)),
    inference(subst,[],[refute_0_897:[bind(Z,$fot(X_839)),bind(X_54,$fot(X_840)),bind(X_55,$fot(X_841))]]) ).

cnf(refute_0_3728,plain,
    ( join(meet(X_840,X_841),X_839) != join(meet(X_840,X_841),join(meet(X_841,X_840),X_839))
    | join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)) = join(meet(X_840,X_841),X_839) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(meet(X_840,X_841),X_839))),bind(Y0,$fot(join(meet(X_840,X_841),join(meet(X_841,X_840),X_839))))]]) ).

cnf(refute_0_3729,plain,
    join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)) = join(meet(X_840,X_841),X_839),
    inference(resolve,[$cnf( $equal(join(meet(X_840,X_841),X_839),join(meet(X_840,X_841),join(meet(X_841,X_840),X_839))) )],[refute_0_3727,refute_0_3728]) ).

cnf(refute_0_3730,plain,
    ( join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) != join(X,join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)))
    | join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)) != join(meet(X_840,X_841),X_839)
    | join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) = join(X,join(meet(X_840,X_841),X_839)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)),join(X,join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)))) ),[1,1],$fot(join(meet(X_840,X_841),X_839))]]) ).

cnf(refute_0_3731,plain,
    ( join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) != join(X,join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)))
    | join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) = join(X,join(meet(X_840,X_841),X_839)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)),join(meet(X_840,X_841),X_839)) )],[refute_0_3729,refute_0_3730]) ).

cnf(refute_0_3732,plain,
    join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) = join(X,join(meet(X_840,X_841),X_839)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)),join(X,join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)))) )],[refute_0_3726,refute_0_3731]) ).

cnf(refute_0_3733,plain,
    join(meet(X_840,X_841),join(X_31,join(meet(X_841,X_840),X_839))) = join(X_31,join(meet(X_840,X_841),join(meet(X_841,X_840),X_839))),
    inference(subst,[],[refute_0_214:[bind(X_32,$fot(meet(X_840,X_841))),bind(X_33,$fot(join(meet(X_841,X_840),X_839)))]]) ).

cnf(refute_0_3734,plain,
    ( join(meet(X_840,X_841),join(X_31,join(meet(X_841,X_840),X_839))) != join(X_31,join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)))
    | join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)) != join(meet(X_840,X_841),X_839)
    | join(meet(X_840,X_841),join(X_31,join(meet(X_841,X_840),X_839))) = join(X_31,join(meet(X_840,X_841),X_839)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_840,X_841),join(X_31,join(meet(X_841,X_840),X_839))),join(X_31,join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)))) ),[1,1],$fot(join(meet(X_840,X_841),X_839))]]) ).

cnf(refute_0_3735,plain,
    ( join(meet(X_840,X_841),join(X_31,join(meet(X_841,X_840),X_839))) != join(X_31,join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)))
    | join(meet(X_840,X_841),join(X_31,join(meet(X_841,X_840),X_839))) = join(X_31,join(meet(X_840,X_841),X_839)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)),join(meet(X_840,X_841),X_839)) )],[refute_0_3729,refute_0_3734]) ).

cnf(refute_0_3736,plain,
    join(meet(X_840,X_841),join(X_31,join(meet(X_841,X_840),X_839))) = join(X_31,join(meet(X_840,X_841),X_839)),
    inference(resolve,[$cnf( $equal(join(meet(X_840,X_841),join(X_31,join(meet(X_841,X_840),X_839))),join(X_31,join(meet(X_840,X_841),join(meet(X_841,X_840),X_839)))) )],[refute_0_3733,refute_0_3735]) ).

cnf(refute_0_3737,plain,
    join(meet(X_841,X_840),join(X,join(meet(X_840,X_841),X_839))) = join(X,join(meet(X_841,X_840),X_839)),
    inference(subst,[],[refute_0_3736:[bind(X_31,$fot(X)),bind(X_840,$fot(X_841)),bind(X_841,$fot(X_840))]]) ).

cnf(refute_0_3738,plain,
    join(join(X,meet(X_840,X_841)),X_839) = join(X,join(meet(X_840,X_841),X_839)),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(X_840,X_841))),bind(Z,$fot(X_839))]]) ).

cnf(refute_0_3739,plain,
    join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) = join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)),
    introduced(tautology,[refl,[$fot(join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)))]]) ).

cnf(refute_0_3740,plain,
    ( join(join(X,meet(X_840,X_841)),X_839) != join(X,join(meet(X_840,X_841),X_839))
    | join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) != join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839))
    | join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) = join(meet(X_841,X_840),join(X,join(meet(X_840,X_841),X_839))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)),join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839))) ),[1,1],$fot(join(X,join(meet(X_840,X_841),X_839)))]]) ).

cnf(refute_0_3741,plain,
    ( join(join(X,meet(X_840,X_841)),X_839) != join(X,join(meet(X_840,X_841),X_839))
    | join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) = join(meet(X_841,X_840),join(X,join(meet(X_840,X_841),X_839))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)),join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839))) )],[refute_0_3739,refute_0_3740]) ).

cnf(refute_0_3742,plain,
    join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) = join(meet(X_841,X_840),join(X,join(meet(X_840,X_841),X_839))),
    inference(resolve,[$cnf( $equal(join(join(X,meet(X_840,X_841)),X_839),join(X,join(meet(X_840,X_841),X_839))) )],[refute_0_3738,refute_0_3741]) ).

cnf(refute_0_3743,plain,
    ( join(meet(X_841,X_840),join(X,join(meet(X_840,X_841),X_839))) != join(X,join(meet(X_841,X_840),X_839))
    | join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) != join(meet(X_841,X_840),join(X,join(meet(X_840,X_841),X_839)))
    | join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) = join(X,join(meet(X_841,X_840),X_839)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)))),bind(Y0,$fot(join(meet(X_841,X_840),join(X,join(meet(X_840,X_841),X_839))))),bind(Z0,$fot(join(X,join(meet(X_841,X_840),X_839))))]]) ).

cnf(refute_0_3744,plain,
    ( join(meet(X_841,X_840),join(X,join(meet(X_840,X_841),X_839))) != join(X,join(meet(X_841,X_840),X_839))
    | join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) = join(X,join(meet(X_841,X_840),X_839)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)),join(meet(X_841,X_840),join(X,join(meet(X_840,X_841),X_839)))) )],[refute_0_3742,refute_0_3743]) ).

cnf(refute_0_3745,plain,
    join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) = join(X,join(meet(X_841,X_840),X_839)),
    inference(resolve,[$cnf( $equal(join(meet(X_841,X_840),join(X,join(meet(X_840,X_841),X_839))),join(X,join(meet(X_841,X_840),X_839))) )],[refute_0_3737,refute_0_3744]) ).

cnf(refute_0_3746,plain,
    join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) = join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)),
    inference(subst,[],[refute_0_1231:[bind(X_64,$fot(meet(X_841,X_840))),bind(X_65,$fot(join(X,meet(X_840,X_841)))),bind(X_66,$fot(X_839))]]) ).

cnf(refute_0_3747,plain,
    ( join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) != join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839))
    | join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) != join(X,join(meet(X_841,X_840),X_839))
    | join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) = join(X,join(meet(X_841,X_840),X_839)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)))),bind(Y0,$fot(join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)))),bind(Z0,$fot(join(X,join(meet(X_841,X_840),X_839))))]]) ).

cnf(refute_0_3748,plain,
    ( join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)) != join(X,join(meet(X_841,X_840),X_839))
    | join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) = join(X,join(meet(X_841,X_840),X_839)) ),
    inference(resolve,[$cnf( $equal(join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)),join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839))) )],[refute_0_3746,refute_0_3747]) ).

cnf(refute_0_3749,plain,
    join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) = join(X,join(meet(X_841,X_840),X_839)),
    inference(resolve,[$cnf( $equal(join(meet(X_841,X_840),join(join(X,meet(X_840,X_841)),X_839)),join(X,join(meet(X_841,X_840),X_839))) )],[refute_0_3745,refute_0_3748]) ).

cnf(refute_0_3750,plain,
    ( join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) != join(X,join(meet(X_840,X_841),X_839))
    | join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) != join(X,join(meet(X_841,X_840),X_839))
    | join(X,join(meet(X_841,X_840),X_839)) = join(X,join(meet(X_840,X_841),X_839)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)),join(X,join(meet(X_840,X_841),X_839))) ),[0],$fot(join(X,join(meet(X_841,X_840),X_839)))]]) ).

cnf(refute_0_3751,plain,
    ( join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)) != join(X,join(meet(X_840,X_841),X_839))
    | join(X,join(meet(X_841,X_840),X_839)) = join(X,join(meet(X_840,X_841),X_839)) ),
    inference(resolve,[$cnf( $equal(join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)),join(X,join(meet(X_841,X_840),X_839))) )],[refute_0_3749,refute_0_3750]) ).

cnf(refute_0_3752,plain,
    join(X,join(meet(X_841,X_840),X_839)) = join(X,join(meet(X_840,X_841),X_839)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(X_840,X_841)),join(meet(X_841,X_840),X_839)),join(X,join(meet(X_840,X_841),X_839))) )],[refute_0_3732,refute_0_3751]) ).

cnf(refute_0_3753,plain,
    ( join(X,join(meet(X_841,X_840),X_839)) != join(X,join(meet(X_840,X_841),X_839))
    | join(X,join(meet(X_840,X_841),X_839)) = join(X,join(meet(X_841,X_840),X_839)) ),
    inference(subst,[],[refute_0_17:[bind(X0,$fot(join(X,join(meet(X_841,X_840),X_839)))),bind(Y0,$fot(join(X,join(meet(X_840,X_841),X_839))))]]) ).

cnf(refute_0_3754,plain,
    join(X,join(meet(X_840,X_841),X_839)) = join(X,join(meet(X_841,X_840),X_839)),
    inference(resolve,[$cnf( $equal(join(X,join(meet(X_841,X_840),X_839)),join(X,join(meet(X_840,X_841),X_839))) )],[refute_0_3752,refute_0_3753]) ).

cnf(refute_0_3755,plain,
    join(complement(b),join(meet(complement(a),b),X_103)) = join(complement(b),join(meet(b,complement(a)),X_103)),
    inference(subst,[],[refute_0_3754:[bind(X,$fot(complement(b))),bind(X_839,$fot(X_103)),bind(X_840,$fot(complement(a))),bind(X_841,$fot(b))]]) ).

cnf(refute_0_3756,plain,
    join(meet(b,complement(a)),join(complement(b),X_103)) = join(complement(b),join(meet(complement(a),b),X_103)),
    inference(subst,[],[refute_0_3010:[bind(Y,$fot(complement(b))),bind(Z,$fot(X_103)),bind(X_751,$fot(complement(a)))]]) ).

cnf(refute_0_3757,plain,
    ( join(complement(b),join(meet(complement(a),b),X_103)) != join(complement(b),join(meet(b,complement(a)),X_103))
    | join(meet(b,complement(a)),join(complement(b),X_103)) != join(complement(b),join(meet(complement(a),b),X_103))
    | join(meet(b,complement(a)),join(complement(b),X_103)) = join(complement(b),join(meet(b,complement(a)),X_103)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(meet(b,complement(a)),join(complement(b),X_103)))),bind(Y0,$fot(join(complement(b),join(meet(complement(a),b),X_103)))),bind(Z0,$fot(join(complement(b),join(meet(b,complement(a)),X_103))))]]) ).

cnf(refute_0_3758,plain,
    ( join(complement(b),join(meet(complement(a),b),X_103)) != join(complement(b),join(meet(b,complement(a)),X_103))
    | join(meet(b,complement(a)),join(complement(b),X_103)) = join(complement(b),join(meet(b,complement(a)),X_103)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(complement(b),X_103)),join(complement(b),join(meet(complement(a),b),X_103))) )],[refute_0_3756,refute_0_3757]) ).

cnf(refute_0_3759,plain,
    join(meet(b,complement(a)),join(complement(b),X_103)) = join(complement(b),join(meet(b,complement(a)),X_103)),
    inference(resolve,[$cnf( $equal(join(complement(b),join(meet(complement(a),b),X_103)),join(complement(b),join(meet(b,complement(a)),X_103))) )],[refute_0_3755,refute_0_3758]) ).

cnf(refute_0_3760,plain,
    ( join(meet(b,complement(a)),join(complement(b),X_103)) != join(X_103,complement(a))
    | join(meet(b,complement(a)),join(complement(b),X_103)) != join(complement(b),join(meet(b,complement(a)),X_103))
    | join(complement(b),join(meet(b,complement(a)),X_103)) = join(X_103,complement(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(b,complement(a)),join(complement(b),X_103)),join(X_103,complement(a))) ),[0],$fot(join(complement(b),join(meet(b,complement(a)),X_103)))]]) ).

cnf(refute_0_3761,plain,
    ( join(meet(b,complement(a)),join(complement(b),X_103)) != join(X_103,complement(a))
    | join(complement(b),join(meet(b,complement(a)),X_103)) = join(X_103,complement(a)) ),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(complement(b),X_103)),join(complement(b),join(meet(b,complement(a)),X_103))) )],[refute_0_3759,refute_0_3760]) ).

cnf(refute_0_3762,plain,
    join(complement(b),join(meet(b,complement(a)),X_103)) = join(X_103,complement(a)),
    inference(resolve,[$cnf( $equal(join(meet(b,complement(a)),join(complement(b),X_103)),join(X_103,complement(a))) )],[refute_0_3725,refute_0_3761]) ).

cnf(refute_0_3763,plain,
    join(complement(b),join(meet(b,complement(a)),complement(b))) = join(complement(b),complement(a)),
    inference(subst,[],[refute_0_3762:[bind(X_103,$fot(complement(b)))]]) ).

cnf(refute_0_3764,plain,
    ( join(complement(b),complement(a)) != join(complement(a),complement(b))
    | join(complement(b),join(meet(b,complement(a)),complement(b))) != join(complement(b),complement(a))
    | join(complement(b),join(meet(b,complement(a)),complement(b))) = join(complement(a),complement(b)) ),
    inference(subst,[],[refute_0_94:[bind(X0,$fot(join(complement(b),join(meet(b,complement(a)),complement(b))))),bind(Y0,$fot(join(complement(b),complement(a)))),bind(Z0,$fot(join(complement(a),complement(b))))]]) ).

cnf(refute_0_3765,plain,
    ( join(complement(b),complement(a)) != join(complement(a),complement(b))
    | join(complement(b),join(meet(b,complement(a)),complement(b))) = join(complement(a),complement(b)) ),
    inference(resolve,[$cnf( $equal(join(complement(b),join(meet(b,complement(a)),complement(b))),join(complement(b),complement(a))) )],[refute_0_3763,refute_0_3764]) ).

cnf(refute_0_3766,plain,
    join(complement(b),join(meet(b,complement(a)),complement(b))) = join(complement(a),complement(b)),
    inference(resolve,[$cnf( $equal(join(complement(b),complement(a)),join(complement(a),complement(b))) )],[refute_0_3721,refute_0_3765]) ).

cnf(refute_0_3767,plain,
    ( join(complement(b),join(meet(b,complement(a)),complement(b))) != complement(a)
    | join(complement(b),join(meet(b,complement(a)),complement(b))) != join(complement(a),complement(b))
    | join(complement(a),complement(b)) = complement(a) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(b),join(meet(b,complement(a)),complement(b))),complement(a)) ),[0],$fot(join(complement(a),complement(b)))]]) ).

cnf(refute_0_3768,plain,
    ( join(complement(b),join(meet(b,complement(a)),complement(b))) != complement(a)
    | join(complement(a),complement(b)) = complement(a) ),
    inference(resolve,[$cnf( $equal(join(complement(b),join(meet(b,complement(a)),complement(b))),join(complement(a),complement(b))) )],[refute_0_3766,refute_0_3767]) ).

cnf(refute_0_3769,plain,
    join(complement(a),complement(b)) = complement(a),
    inference(resolve,[$cnf( $equal(join(complement(b),join(meet(b,complement(a)),complement(b))),complement(a)) )],[refute_0_3150,refute_0_3768]) ).

cnf(refute_0_3770,plain,
    ( join(complement(a),complement(b)) != complement(a)
    | join(complement(b),complement(a)) != join(complement(a),complement(b))
    | join(complement(b),complement(a)) = complement(a) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(b),complement(a)),join(complement(a),complement(b))) ),[1],$fot(complement(a))]]) ).

cnf(refute_0_3771,plain,
    ( join(complement(a),complement(b)) != complement(a)
    | join(complement(b),complement(a)) = complement(a) ),
    inference(resolve,[$cnf( $equal(join(complement(b),complement(a)),join(complement(a),complement(b))) )],[refute_0_3721,refute_0_3770]) ).

cnf(refute_0_3772,plain,
    join(complement(a),complement(b)) != complement(a),
    inference(resolve,[$cnf( $equal(join(complement(b),complement(a)),complement(a)) )],[refute_0_3771,prove_distributivity]) ).

cnf(refute_0_3773,plain,
    $false,
    inference(resolve,[$cnf( $equal(join(complement(a),complement(b)),complement(a)) )],[refute_0_3769,refute_0_3772]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : LAT230-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 29 15:25:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 115.97/116.18  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 115.97/116.18  
% 115.97/116.18  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 116.57/116.77  
%------------------------------------------------------------------------------