%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LAT005-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 05:58:46 EDT 2022

% Result   : Unsatisfiable 242.66s 242.89s
% Output   : CNFRefutation 242.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   62
%            Number of leaves      :  281
% Syntax   : Number of clauses     : 1223 ( 630 unt;   0 nHn; 642 RR)
%            Number of literals    : 2083 (2082 equ; 864 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-4 aty)
%            Number of variables   : 3057 ( 149 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq3(A,A,B,C) = B ).

cnf(ifeq_axiom_002,axiom,
    ifeq(A,A,B,C) = B ).

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(x_meet_0,axiom,
    meet(X,n0) = n0 ).

cnf(x_join_0,axiom,
    join(X,n0) = X ).

cnf(x_meet_1,axiom,
    meet(X,n1) = X ).

cnf(x_join_1,axiom,
    join(X,n1) = n1 ).

cnf(modular,axiom,
    ifeq3(meet(X,Z),X,meet(Z,join(X,Y)),join(X,meet(Y,Z))) = join(X,meet(Y,Z)) ).

cnf(complement_meet,axiom,
    ifeq(complement(X,Y),true,meet(X,Y),n0) = n0 ).

cnf(complement_join,axiom,
    ifeq(complement(X,Y),true,join(X,Y),n1) = n1 ).

cnf(complement_of_a_join_b,hypothesis,
    complement(r1,join(a,b)) = true ).

cnf(complement_of_a_meet_b,hypothesis,
    complement(r2,meet(a,b)) = true ).

cnf(prove_lemma,negated_conjecture,
    r1 != meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))) ).

cnf(refute_0_0,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_1,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_2,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( meet(X,Y) != meet(Y,X)
    | meet(Y,X) = meet(X,Y) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X,Y))),bind(Y0,$fot(meet(Y,X)))]]) ).

cnf(refute_0_4,plain,
    meet(Y,X) = meet(X,Y),
    inference(resolve,[$cnf( $equal(meet(X,Y),meet(Y,X)) )],[commutativity_of_meet,refute_0_3]) ).

cnf(refute_0_5,plain,
    meet(r2,b) = meet(b,r2),
    inference(subst,[],[refute_0_4:[bind(X,$fot(b)),bind(Y,$fot(r2))]]) ).

cnf(refute_0_6,plain,
    join(r1,meet(r2,b)) = join(r1,meet(r2,b)),
    introduced(tautology,[refl,[$fot(join(r1,meet(r2,b)))]]) ).

cnf(refute_0_7,plain,
    ( join(r1,meet(r2,b)) != join(r1,meet(r2,b))
    | meet(r2,b) != meet(b,r2)
    | join(r1,meet(r2,b)) = join(r1,meet(b,r2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(r1,meet(r2,b)),join(r1,meet(r2,b))) ),[1,1],$fot(meet(b,r2))]]) ).

cnf(refute_0_8,plain,
    ( meet(r2,b) != meet(b,r2)
    | join(r1,meet(r2,b)) = join(r1,meet(b,r2)) ),
    inference(resolve,[$cnf( $equal(join(r1,meet(r2,b)),join(r1,meet(r2,b))) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    join(r1,meet(r2,b)) = join(r1,meet(b,r2)),
    inference(resolve,[$cnf( $equal(meet(r2,b),meet(b,r2)) )],[refute_0_5,refute_0_8]) ).

cnf(refute_0_10,plain,
    meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))) = meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))),
    introduced(tautology,[refl,[$fot(meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))))]]) ).

cnf(refute_0_11,plain,
    ( join(r1,meet(r2,b)) != join(r1,meet(b,r2))
    | meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))) != meet(join(r1,meet(a,r2)),join(r1,meet(r2,b)))
    | meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))) = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))),meet(join(r1,meet(a,r2)),join(r1,meet(r2,b)))) ),[1,1],$fot(join(r1,meet(b,r2)))]]) ).

cnf(refute_0_12,plain,
    ( join(r1,meet(r2,b)) != join(r1,meet(b,r2))
    | meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))) = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) ),
    inference(resolve,[$cnf( $equal(meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))),meet(join(r1,meet(a,r2)),join(r1,meet(r2,b)))) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))) = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))),
    inference(resolve,[$cnf( $equal(join(r1,meet(r2,b)),join(r1,meet(b,r2))) )],[refute_0_9,refute_0_12]) ).

cnf(refute_0_14,plain,
    meet(r2,a) = meet(a,r2),
    inference(subst,[],[refute_0_4:[bind(X,$fot(a)),bind(Y,$fot(r2))]]) ).

cnf(refute_0_15,plain,
    join(r1,meet(r2,a)) = join(r1,meet(r2,a)),
    introduced(tautology,[refl,[$fot(join(r1,meet(r2,a)))]]) ).

cnf(refute_0_16,plain,
    ( join(r1,meet(r2,a)) != join(r1,meet(r2,a))
    | meet(r2,a) != meet(a,r2)
    | join(r1,meet(r2,a)) = join(r1,meet(a,r2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(r1,meet(r2,a)),join(r1,meet(r2,a))) ),[1,1],$fot(meet(a,r2))]]) ).

cnf(refute_0_17,plain,
    ( meet(r2,a) != meet(a,r2)
    | join(r1,meet(r2,a)) = join(r1,meet(a,r2)) ),
    inference(resolve,[$cnf( $equal(join(r1,meet(r2,a)),join(r1,meet(r2,a))) )],[refute_0_15,refute_0_16]) ).

cnf(refute_0_18,plain,
    join(r1,meet(r2,a)) = join(r1,meet(a,r2)),
    inference(resolve,[$cnf( $equal(meet(r2,a),meet(a,r2)) )],[refute_0_14,refute_0_17]) ).

cnf(refute_0_19,plain,
    meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) = meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))),
    introduced(tautology,[refl,[$fot(meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))))]]) ).

cnf(refute_0_20,plain,
    ( join(r1,meet(r2,a)) != join(r1,meet(a,r2))
    | meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) != meet(join(r1,meet(r2,a)),join(r1,meet(r2,b)))
    | meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) = meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))),meet(join(r1,meet(r2,a)),join(r1,meet(r2,b)))) ),[1,0],$fot(join(r1,meet(a,r2)))]]) ).

cnf(refute_0_21,plain,
    ( join(r1,meet(r2,a)) != join(r1,meet(a,r2))
    | meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) = meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))) ),
    inference(resolve,[$cnf( $equal(meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))),meet(join(r1,meet(r2,a)),join(r1,meet(r2,b)))) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) = meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))),
    inference(resolve,[$cnf( $equal(join(r1,meet(r2,a)),join(r1,meet(a,r2))) )],[refute_0_18,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_24,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))) != meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))
    | meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) != meet(join(r1,meet(a,r2)),join(r1,meet(r2,b)))
    | meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))))),bind(Y0,$fot(meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))))),bind(Z0,$fot(meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))))]]) ).

cnf(refute_0_26,plain,
    ( meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))) != meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))
    | meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) ),
    inference(resolve,[$cnf( $equal(meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))),meet(join(r1,meet(a,r2)),join(r1,meet(r2,b)))) )],[refute_0_22,refute_0_25]) ).

cnf(refute_0_27,plain,
    meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))),
    inference(resolve,[$cnf( $equal(meet(join(r1,meet(a,r2)),join(r1,meet(r2,b))),meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))) )],[refute_0_13,refute_0_26]) ).

cnf(refute_0_28,plain,
    meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))) = meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(r1,meet(r2,a)))),bind(Y,$fot(join(r1,meet(r2,b))))]]) ).

cnf(refute_0_29,plain,
    ( meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) != meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))
    | meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))) != meet(join(r1,meet(r2,a)),join(r1,meet(r2,b)))
    | meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))) = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))))),bind(Y0,$fot(meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))))),bind(Z0,$fot(meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))))]]) ).

cnf(refute_0_30,plain,
    ( meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))) != meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))
    | meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))) = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) ),
    inference(resolve,[$cnf( $equal(meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))),meet(join(r1,meet(r2,a)),join(r1,meet(r2,b)))) )],[refute_0_28,refute_0_29]) ).

cnf(refute_0_31,plain,
    meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))) = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))),
    inference(resolve,[$cnf( $equal(meet(join(r1,meet(r2,a)),join(r1,meet(r2,b))),meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))) )],[refute_0_27,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))) != meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))
    | r1 != meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))
    | r1 = meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(r1,meet(join(r1,meet(r2,b)),join(r1,meet(r2,a)))) ),[1],$fot(meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))))]]) ).

cnf(refute_0_33,plain,
    ( r1 != meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))
    | r1 = meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))) ),
    inference(resolve,[$cnf( $equal(meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))),meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    r1 != meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))),
    inference(resolve,[$cnf( $equal(r1,meet(join(r1,meet(r2,b)),join(r1,meet(r2,a)))) )],[refute_0_33,prove_lemma]) ).

cnf(refute_0_35,plain,
    meet(meet(b,r2),join(r1,meet(a,r2))) = meet(b,meet(r2,join(r1,meet(a,r2)))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(r2)),bind(Z,$fot(join(r1,meet(a,r2))))]]) ).

cnf(refute_0_36,plain,
    join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))) = join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))),
    introduced(tautology,[refl,[$fot(join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))))]]) ).

cnf(refute_0_37,plain,
    ( join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))) != join(r1,meet(meet(b,r2),join(r1,meet(a,r2))))
    | meet(meet(b,r2),join(r1,meet(a,r2))) != meet(b,meet(r2,join(r1,meet(a,r2))))
    | join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))) = join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))),join(r1,meet(meet(b,r2),join(r1,meet(a,r2))))) ),[1,1],$fot(meet(b,meet(r2,join(r1,meet(a,r2)))))]]) ).

cnf(refute_0_38,plain,
    ( meet(meet(b,r2),join(r1,meet(a,r2))) != meet(b,meet(r2,join(r1,meet(a,r2))))
    | join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))) = join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) ),
    inference(resolve,[$cnf( $equal(join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))),join(r1,meet(meet(b,r2),join(r1,meet(a,r2))))) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))) = join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))),
    inference(resolve,[$cnf( $equal(meet(meet(b,r2),join(r1,meet(a,r2))),meet(b,meet(r2,join(r1,meet(a,r2))))) )],[refute_0_35,refute_0_38]) ).

cnf(refute_0_40,plain,
    ifeq3(meet(X_165,join(X_165,Y)),X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))) = join(X_165,meet(X_166,join(X_165,Y))),
    inference(subst,[],[modular:[bind(X,$fot(X_165)),bind(Y,$fot(X_166)),bind(Z,$fot(join(X_165,Y)))]]) ).

cnf(refute_0_41,plain,
    meet(X_165,join(X_165,Y)) = X_165,
    inference(subst,[],[absorption1:[bind(X,$fot(X_165))]]) ).

cnf(refute_0_42,plain,
    ( ifeq3(meet(X_165,join(X_165,Y)),X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))) != join(X_165,meet(X_166,join(X_165,Y)))
    | meet(X_165,join(X_165,Y)) != X_165
    | ifeq3(X_165,X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))) = join(X_165,meet(X_166,join(X_165,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(X_165,join(X_165,Y)),X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))),join(X_165,meet(X_166,join(X_165,Y)))) ),[0,0],$fot(X_165)]]) ).

cnf(refute_0_43,plain,
    ( ifeq3(meet(X_165,join(X_165,Y)),X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))) != join(X_165,meet(X_166,join(X_165,Y)))
    | ifeq3(X_165,X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))) = join(X_165,meet(X_166,join(X_165,Y))) ),
    inference(resolve,[$cnf( $equal(meet(X_165,join(X_165,Y)),X_165) )],[refute_0_41,refute_0_42]) ).

cnf(refute_0_44,plain,
    ifeq3(X_165,X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))) = join(X_165,meet(X_166,join(X_165,Y))),
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_165,join(X_165,Y)),X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))),join(X_165,meet(X_166,join(X_165,Y)))) )],[refute_0_40,refute_0_43]) ).

cnf(refute_0_45,plain,
    ifeq3(X_165,X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))) = meet(join(X_165,Y),join(X_165,X_166)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(X_165)),bind(B,$fot(meet(join(X_165,Y),join(X_165,X_166)))),bind(C,$fot(join(X_165,meet(X_166,join(X_165,Y)))))]]) ).

cnf(refute_0_46,plain,
    ( ifeq3(X_165,X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))) != join(X_165,meet(X_166,join(X_165,Y)))
    | ifeq3(X_165,X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))) != meet(join(X_165,Y),join(X_165,X_166))
    | meet(join(X_165,Y),join(X_165,X_166)) = join(X_165,meet(X_166,join(X_165,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(X_165,X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))),join(X_165,meet(X_166,join(X_165,Y)))) ),[0],$fot(meet(join(X_165,Y),join(X_165,X_166)))]]) ).

cnf(refute_0_47,plain,
    ( ifeq3(X_165,X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))) != join(X_165,meet(X_166,join(X_165,Y)))
    | meet(join(X_165,Y),join(X_165,X_166)) = join(X_165,meet(X_166,join(X_165,Y))) ),
    inference(resolve,[$cnf( $equal(ifeq3(X_165,X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))),meet(join(X_165,Y),join(X_165,X_166))) )],[refute_0_45,refute_0_46]) ).

cnf(refute_0_48,plain,
    meet(join(X_165,Y),join(X_165,X_166)) = join(X_165,meet(X_166,join(X_165,Y))),
    inference(resolve,[$cnf( $equal(ifeq3(X_165,X_165,meet(join(X_165,Y),join(X_165,X_166)),join(X_165,meet(X_166,join(X_165,Y)))),join(X_165,meet(X_166,join(X_165,Y)))) )],[refute_0_44,refute_0_47]) ).

cnf(refute_0_49,plain,
    meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) = join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))),
    inference(subst,[],[refute_0_48:[bind(Y,$fot(meet(a,r2))),bind(X_165,$fot(r1)),bind(X_166,$fot(meet(b,r2)))]]) ).

cnf(refute_0_50,plain,
    ( join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))) != join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))
    | meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) != join(r1,meet(meet(b,r2),join(r1,meet(a,r2))))
    | meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) = join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))))),bind(Y0,$fot(join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))))),bind(Z0,$fot(join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))))]]) ).

cnf(refute_0_51,plain,
    ( join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))) != join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))
    | meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) = join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) ),
    inference(resolve,[$cnf( $equal(meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))),join(r1,meet(meet(b,r2),join(r1,meet(a,r2))))) )],[refute_0_49,refute_0_50]) ).

cnf(refute_0_52,plain,
    meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) = join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))),
    inference(resolve,[$cnf( $equal(join(r1,meet(meet(b,r2),join(r1,meet(a,r2)))),join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))) )],[refute_0_39,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) != join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))
    | r1 != join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))
    | r1 = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(r1,meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))) ),[1],$fot(join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))))]]) ).

cnf(refute_0_54,plain,
    ( r1 != join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))
    | r1 = meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) ),
    inference(resolve,[$cnf( $equal(meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))),join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    r1 != join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))),
    inference(resolve,[$cnf( $equal(r1,meet(join(r1,meet(a,r2)),join(r1,meet(b,r2)))) )],[refute_0_54,refute_0_34]) ).

cnf(refute_0_56,plain,
    join(X,n0) = join(n0,X),
    inference(subst,[],[commutativity_of_join:[bind(Y,$fot(n0))]]) ).

cnf(refute_0_57,plain,
    ( join(X,n0) != X
    | join(X,n0) != join(n0,X)
    | join(n0,X) = X ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,n0),X) ),[0],$fot(join(n0,X))]]) ).

cnf(refute_0_58,plain,
    ( join(X,n0) != X
    | join(n0,X) = X ),
    inference(resolve,[$cnf( $equal(join(X,n0),join(n0,X)) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    join(n0,X) = X,
    inference(resolve,[$cnf( $equal(join(X,n0),X) )],[x_join_0,refute_0_58]) ).

cnf(refute_0_60,plain,
    join(n0,r1) = r1,
    inference(subst,[],[refute_0_59:[bind(X,$fot(r1))]]) ).

cnf(refute_0_61,plain,
    join(join(X_68,meet(Y,X_68)),X_70) = join(X_68,join(meet(Y,X_68),X_70)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_68)),bind(Y,$fot(meet(Y,X_68))),bind(Z,$fot(X_70))]]) ).

cnf(refute_0_62,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_63,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_62]) ).

cnf(refute_0_64,plain,
    join(X,meet(Y,X)) = X,
    inference(resolve,[$cnf( $equal(join(X,meet(X,Y)),X) )],[absorption2,refute_0_63]) ).

cnf(refute_0_65,plain,
    join(X_68,meet(Y,X_68)) = X_68,
    inference(subst,[],[refute_0_64:[bind(X,$fot(X_68))]]) ).

cnf(refute_0_66,plain,
    ( join(X_68,meet(Y,X_68)) != X_68
    | join(join(X_68,meet(Y,X_68)),X_70) != join(X_68,join(meet(Y,X_68),X_70))
    | join(X_68,X_70) = join(X_68,join(meet(Y,X_68),X_70)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_68,meet(Y,X_68)),X_70),join(X_68,join(meet(Y,X_68),X_70))) ),[0,0],$fot(X_68)]]) ).

cnf(refute_0_67,plain,
    ( join(join(X_68,meet(Y,X_68)),X_70) != join(X_68,join(meet(Y,X_68),X_70))
    | join(X_68,X_70) = join(X_68,join(meet(Y,X_68),X_70)) ),
    inference(resolve,[$cnf( $equal(join(X_68,meet(Y,X_68)),X_68) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    join(X_68,X_70) = join(X_68,join(meet(Y,X_68),X_70)),
    inference(resolve,[$cnf( $equal(join(join(X_68,meet(Y,X_68)),X_70),join(X_68,join(meet(Y,X_68),X_70))) )],[refute_0_61,refute_0_67]) ).

cnf(refute_0_69,plain,
    join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,join(meet(Y,X_68),join(X_442,meet(join(meet(Y,X_68),X_442),X_440)))),
    inference(subst,[],[refute_0_68:[bind(X_70,$fot(join(X_442,meet(join(meet(Y,X_68),X_442),X_440))))]]) ).

cnf(refute_0_70,plain,
    join(join(X_68,X_69),meet(join(X_68,X_69),Y)) = join(X_68,X_69),
    inference(subst,[],[absorption2:[bind(X,$fot(join(X_68,X_69)))]]) ).

cnf(refute_0_71,plain,
    join(join(X_68,X_69),meet(join(X_68,X_69),Y)) = join(X_68,join(X_69,meet(join(X_68,X_69),Y))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_68)),bind(Y,$fot(X_69)),bind(Z,$fot(meet(join(X_68,X_69),Y)))]]) ).

cnf(refute_0_72,plain,
    ( join(join(X_68,X_69),meet(join(X_68,X_69),Y)) != join(X_68,X_69)
    | join(join(X_68,X_69),meet(join(X_68,X_69),Y)) != join(X_68,join(X_69,meet(join(X_68,X_69),Y)))
    | join(X_68,join(X_69,meet(join(X_68,X_69),Y))) = join(X_68,X_69) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_68,X_69),meet(join(X_68,X_69),Y)),join(X_68,X_69)) ),[0],$fot(join(X_68,join(X_69,meet(join(X_68,X_69),Y))))]]) ).

cnf(refute_0_73,plain,
    ( join(join(X_68,X_69),meet(join(X_68,X_69),Y)) != join(X_68,X_69)
    | join(X_68,join(X_69,meet(join(X_68,X_69),Y))) = join(X_68,X_69) ),
    inference(resolve,[$cnf( $equal(join(join(X_68,X_69),meet(join(X_68,X_69),Y)),join(X_68,join(X_69,meet(join(X_68,X_69),Y)))) )],[refute_0_71,refute_0_72]) ).

cnf(refute_0_74,plain,
    join(X_68,join(X_69,meet(join(X_68,X_69),Y))) = join(X_68,X_69),
    inference(resolve,[$cnf( $equal(join(join(X_68,X_69),meet(join(X_68,X_69),Y)),join(X_68,X_69)) )],[refute_0_70,refute_0_73]) ).

cnf(refute_0_75,plain,
    join(meet(Y,X_68),join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(meet(Y,X_68),X_442),
    inference(subst,[],[refute_0_74:[bind(Y,$fot(X_440)),bind(X_68,$fot(meet(Y,X_68))),bind(X_69,$fot(X_442))]]) ).

cnf(refute_0_76,plain,
    ( join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) != join(X_68,join(meet(Y,X_68),join(X_442,meet(join(meet(Y,X_68),X_442),X_440))))
    | join(meet(Y,X_68),join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) != join(meet(Y,X_68),X_442)
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,join(meet(Y,X_68),X_442)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(X_68,join(meet(Y,X_68),join(X_442,meet(join(meet(Y,X_68),X_442),X_440))))) ),[1,1],$fot(join(meet(Y,X_68),X_442))]]) ).

cnf(refute_0_77,plain,
    ( join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) != join(X_68,join(meet(Y,X_68),join(X_442,meet(join(meet(Y,X_68),X_442),X_440))))
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,join(meet(Y,X_68),X_442)) ),
    inference(resolve,[$cnf( $equal(join(meet(Y,X_68),join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(meet(Y,X_68),X_442)) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,join(meet(Y,X_68),X_442)),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(X_68,join(meet(Y,X_68),join(X_442,meet(join(meet(Y,X_68),X_442),X_440))))) )],[refute_0_69,refute_0_77]) ).

cnf(refute_0_79,plain,
    ( join(X_68,X_70) != join(X_68,join(meet(Y,X_68),X_70))
    | join(X_68,join(meet(Y,X_68),X_70)) = join(X_68,X_70) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_68,X_70))),bind(Y0,$fot(join(X_68,join(meet(Y,X_68),X_70))))]]) ).

cnf(refute_0_80,plain,
    join(X_68,join(meet(Y,X_68),X_70)) = join(X_68,X_70),
    inference(resolve,[$cnf( $equal(join(X_68,X_70),join(X_68,join(meet(Y,X_68),X_70))) )],[refute_0_68,refute_0_79]) ).

cnf(refute_0_81,plain,
    join(X_68,join(meet(Y,X_68),X_442)) = join(X_68,X_442),
    inference(subst,[],[refute_0_80:[bind(X_70,$fot(X_442))]]) ).

cnf(refute_0_82,plain,
    ( join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) != join(X_68,join(meet(Y,X_68),X_442))
    | join(X_68,join(meet(Y,X_68),X_442)) != join(X_68,X_442)
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,X_442) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(X_68,X_442)) ),[0],$fot(join(X_68,join(meet(Y,X_68),X_442)))]]) ).

cnf(refute_0_83,plain,
    ( join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) != join(X_68,join(meet(Y,X_68),X_442))
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,X_442) ),
    inference(resolve,[$cnf( $equal(join(X_68,join(meet(Y,X_68),X_442)),join(X_68,X_442)) )],[refute_0_81,refute_0_82]) ).

cnf(refute_0_84,plain,
    join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,X_442),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(X_68,join(meet(Y,X_68),X_442))) )],[refute_0_78,refute_0_83]) ).

cnf(refute_0_85,plain,
    join(join(X_63,Y),meet(X_63,join(X_63,Y))) = join(X_63,Y),
    inference(subst,[],[refute_0_64:[bind(X,$fot(join(X_63,Y))),bind(Y,$fot(X_63))]]) ).

cnf(refute_0_86,plain,
    meet(X_63,join(X_63,Y)) = X_63,
    inference(subst,[],[absorption1:[bind(X,$fot(X_63))]]) ).

cnf(refute_0_87,plain,
    ( join(join(X_63,Y),meet(X_63,join(X_63,Y))) != join(X_63,Y)
    | meet(X_63,join(X_63,Y)) != X_63
    | join(join(X_63,Y),X_63) = join(X_63,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_63,Y),meet(X_63,join(X_63,Y))),join(X_63,Y)) ),[0,1],$fot(X_63)]]) ).

cnf(refute_0_88,plain,
    ( join(join(X_63,Y),meet(X_63,join(X_63,Y))) != join(X_63,Y)
    | join(join(X_63,Y),X_63) = join(X_63,Y) ),
    inference(resolve,[$cnf( $equal(meet(X_63,join(X_63,Y)),X_63) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    join(join(X_63,Y),X_63) = join(X_63,Y),
    inference(resolve,[$cnf( $equal(join(join(X_63,Y),meet(X_63,join(X_63,Y))),join(X_63,Y)) )],[refute_0_85,refute_0_88]) ).

cnf(refute_0_90,plain,
    join(join(X_63,Y),X_63) = join(X_63,join(Y,X_63)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_63)),bind(Z,$fot(X_63))]]) ).

cnf(refute_0_91,plain,
    ( join(join(X_63,Y),X_63) != join(X_63,Y)
    | join(join(X_63,Y),X_63) != join(X_63,join(Y,X_63))
    | join(X_63,join(Y,X_63)) = join(X_63,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_63,Y),X_63),join(X_63,Y)) ),[0],$fot(join(X_63,join(Y,X_63)))]]) ).

cnf(refute_0_92,plain,
    ( join(join(X_63,Y),X_63) != join(X_63,Y)
    | join(X_63,join(Y,X_63)) = join(X_63,Y) ),
    inference(resolve,[$cnf( $equal(join(join(X_63,Y),X_63),join(X_63,join(Y,X_63))) )],[refute_0_90,refute_0_91]) ).

cnf(refute_0_93,plain,
    join(X_63,join(Y,X_63)) = join(X_63,Y),
    inference(resolve,[$cnf( $equal(join(join(X_63,Y),X_63),join(X_63,Y)) )],[refute_0_89,refute_0_92]) ).

cnf(refute_0_94,plain,
    join(X_63,join(join(X_68,X_69),X_63)) = join(X_63,join(X_68,X_69)),
    inference(subst,[],[refute_0_93:[bind(Y,$fot(join(X_68,X_69)))]]) ).

cnf(refute_0_95,plain,
    join(join(X_68,X_69),X_63) = join(X_68,join(X_69,X_63)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_68)),bind(Y,$fot(X_69)),bind(Z,$fot(X_63))]]) ).

cnf(refute_0_96,plain,
    ( join(X_63,join(join(X_68,X_69),X_63)) != join(X_63,join(X_68,X_69))
    | join(join(X_68,X_69),X_63) != join(X_68,join(X_69,X_63))
    | join(X_63,join(X_68,join(X_69,X_63))) = join(X_63,join(X_68,X_69)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_63,join(join(X_68,X_69),X_63)),join(X_63,join(X_68,X_69))) ),[0,1],$fot(join(X_68,join(X_69,X_63)))]]) ).

cnf(refute_0_97,plain,
    ( join(X_63,join(join(X_68,X_69),X_63)) != join(X_63,join(X_68,X_69))
    | join(X_63,join(X_68,join(X_69,X_63))) = join(X_63,join(X_68,X_69)) ),
    inference(resolve,[$cnf( $equal(join(join(X_68,X_69),X_63),join(X_68,join(X_69,X_63))) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    join(X_63,join(X_68,join(X_69,X_63))) = join(X_63,join(X_68,X_69)),
    inference(resolve,[$cnf( $equal(join(X_63,join(join(X_68,X_69),X_63)),join(X_63,join(X_68,X_69))) )],[refute_0_94,refute_0_97]) ).

cnf(refute_0_99,plain,
    join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,join(meet(X_445,Y),X_70)))) = join(join(meet(X_445,Y),X_70),join(X_444,X_445)),
    inference(subst,[],[refute_0_98:[bind(X_63,$fot(join(meet(X_445,Y),X_70))),bind(X_68,$fot(X_444)),bind(X_69,$fot(X_445))]]) ).

cnf(refute_0_100,plain,
    join(join(X_68,meet(X_68,Y)),X_70) = join(X_68,join(meet(X_68,Y),X_70)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_68)),bind(Y,$fot(meet(X_68,Y))),bind(Z,$fot(X_70))]]) ).

cnf(refute_0_101,plain,
    join(X_68,meet(X_68,Y)) = X_68,
    inference(subst,[],[absorption2:[bind(X,$fot(X_68))]]) ).

cnf(refute_0_102,plain,
    ( join(X_68,meet(X_68,Y)) != X_68
    | join(join(X_68,meet(X_68,Y)),X_70) != join(X_68,join(meet(X_68,Y),X_70))
    | join(X_68,X_70) = join(X_68,join(meet(X_68,Y),X_70)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_68,meet(X_68,Y)),X_70),join(X_68,join(meet(X_68,Y),X_70))) ),[0,0],$fot(X_68)]]) ).

cnf(refute_0_103,plain,
    ( join(join(X_68,meet(X_68,Y)),X_70) != join(X_68,join(meet(X_68,Y),X_70))
    | join(X_68,X_70) = join(X_68,join(meet(X_68,Y),X_70)) ),
    inference(resolve,[$cnf( $equal(join(X_68,meet(X_68,Y)),X_68) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    join(X_68,X_70) = join(X_68,join(meet(X_68,Y),X_70)),
    inference(resolve,[$cnf( $equal(join(join(X_68,meet(X_68,Y)),X_70),join(X_68,join(meet(X_68,Y),X_70))) )],[refute_0_100,refute_0_103]) ).

cnf(refute_0_105,plain,
    join(X_445,X_70) = join(X_445,join(meet(X_445,Y),X_70)),
    inference(subst,[],[refute_0_104:[bind(X_68,$fot(X_445))]]) ).

cnf(refute_0_106,plain,
    ( join(X_445,X_70) != join(X_445,join(meet(X_445,Y),X_70))
    | join(X_445,join(meet(X_445,Y),X_70)) = join(X_445,X_70) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_445,X_70))),bind(Y0,$fot(join(X_445,join(meet(X_445,Y),X_70))))]]) ).

cnf(refute_0_107,plain,
    join(X_445,join(meet(X_445,Y),X_70)) = join(X_445,X_70),
    inference(resolve,[$cnf( $equal(join(X_445,X_70),join(X_445,join(meet(X_445,Y),X_70))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    ( join(X_445,join(meet(X_445,Y),X_70)) != join(X_445,X_70)
    | join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,join(meet(X_445,Y),X_70)))) != join(join(meet(X_445,Y),X_70),join(X_444,X_445))
    | join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) = join(join(meet(X_445,Y),X_70),join(X_444,X_445)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,join(meet(X_445,Y),X_70)))),join(join(meet(X_445,Y),X_70),join(X_444,X_445))) ),[0,1,1],$fot(join(X_445,X_70))]]) ).

cnf(refute_0_109,plain,
    ( join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,join(meet(X_445,Y),X_70)))) != join(join(meet(X_445,Y),X_70),join(X_444,X_445))
    | join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) = join(join(meet(X_445,Y),X_70),join(X_444,X_445)) ),
    inference(resolve,[$cnf( $equal(join(X_445,join(meet(X_445,Y),X_70)),join(X_445,X_70)) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) = join(join(meet(X_445,Y),X_70),join(X_444,X_445)),
    inference(resolve,[$cnf( $equal(join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,join(meet(X_445,Y),X_70)))),join(join(meet(X_445,Y),X_70),join(X_444,X_445))) )],[refute_0_99,refute_0_109]) ).

cnf(refute_0_111,plain,
    join(X,join(X_68,X_69)) = join(join(X_68,X_69),X),
    inference(subst,[],[commutativity_of_join:[bind(Y,$fot(join(X_68,X_69)))]]) ).

cnf(refute_0_112,plain,
    join(join(X_68,X_69),X) = join(X_68,join(X_69,X)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_68)),bind(Y,$fot(X_69)),bind(Z,$fot(X))]]) ).

cnf(refute_0_113,plain,
    ( join(X,join(X_68,X_69)) != join(join(X_68,X_69),X)
    | join(join(X_68,X_69),X) != join(X_68,join(X_69,X))
    | join(X,join(X_68,X_69)) = join(X_68,join(X_69,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X,join(X_68,X_69)),join(X_68,join(X_69,X))) ),[0],$fot(join(join(X_68,X_69),X))]]) ).

cnf(refute_0_114,plain,
    ( join(X,join(X_68,X_69)) != join(join(X_68,X_69),X)
    | join(X,join(X_68,X_69)) = join(X_68,join(X_69,X)) ),
    inference(resolve,[$cnf( $equal(join(join(X_68,X_69),X),join(X_68,join(X_69,X))) )],[refute_0_112,refute_0_113]) ).

cnf(refute_0_115,plain,
    join(X,join(X_68,X_69)) = join(X_68,join(X_69,X)),
    inference(resolve,[$cnf( $equal(join(X,join(X_68,X_69)),join(join(X_68,X_69),X)) )],[refute_0_111,refute_0_114]) ).

cnf(refute_0_116,plain,
    join(join(meet(X_69,X_260),X_262),join(X_68,X_69)) = join(X_68,join(X_69,join(meet(X_69,X_260),X_262))),
    inference(subst,[],[refute_0_115:[bind(X,$fot(join(meet(X_69,X_260),X_262)))]]) ).

cnf(refute_0_117,plain,
    join(X_69,X_262) = join(X_69,join(meet(X_69,X_260),X_262)),
    inference(subst,[],[refute_0_104:[bind(Y,$fot(X_260)),bind(X_68,$fot(X_69)),bind(X_70,$fot(X_262))]]) ).

cnf(refute_0_118,plain,
    ( join(X_69,X_262) != join(X_69,join(meet(X_69,X_260),X_262))
    | join(X_69,join(meet(X_69,X_260),X_262)) = join(X_69,X_262) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_69,X_262))),bind(Y0,$fot(join(X_69,join(meet(X_69,X_260),X_262))))]]) ).

cnf(refute_0_119,plain,
    join(X_69,join(meet(X_69,X_260),X_262)) = join(X_69,X_262),
    inference(resolve,[$cnf( $equal(join(X_69,X_262),join(X_69,join(meet(X_69,X_260),X_262))) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    ( join(X_69,join(meet(X_69,X_260),X_262)) != join(X_69,X_262)
    | join(join(meet(X_69,X_260),X_262),join(X_68,X_69)) != join(X_68,join(X_69,join(meet(X_69,X_260),X_262)))
    | join(join(meet(X_69,X_260),X_262),join(X_68,X_69)) = join(X_68,join(X_69,X_262)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_69,X_260),X_262),join(X_68,X_69)),join(X_68,join(X_69,join(meet(X_69,X_260),X_262)))) ),[1,1],$fot(join(X_69,X_262))]]) ).

cnf(refute_0_121,plain,
    ( join(join(meet(X_69,X_260),X_262),join(X_68,X_69)) != join(X_68,join(X_69,join(meet(X_69,X_260),X_262)))
    | join(join(meet(X_69,X_260),X_262),join(X_68,X_69)) = join(X_68,join(X_69,X_262)) ),
    inference(resolve,[$cnf( $equal(join(X_69,join(meet(X_69,X_260),X_262)),join(X_69,X_262)) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    join(join(meet(X_69,X_260),X_262),join(X_68,X_69)) = join(X_68,join(X_69,X_262)),
    inference(resolve,[$cnf( $equal(join(join(meet(X_69,X_260),X_262),join(X_68,X_69)),join(X_68,join(X_69,join(meet(X_69,X_260),X_262)))) )],[refute_0_116,refute_0_121]) ).

cnf(refute_0_123,plain,
    join(X_254,join(X_255,X_256)) = join(X_255,join(X_256,X_254)),
    inference(subst,[],[refute_0_115:[bind(X,$fot(X_254)),bind(X_68,$fot(X_255)),bind(X_69,$fot(X_256))]]) ).

cnf(refute_0_124,plain,
    join(X_256,X_255) = join(X_255,X_256),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_256)),bind(Y,$fot(X_255))]]) ).

cnf(refute_0_125,plain,
    ( join(X_256,X_255) != join(X_255,X_256)
    | join(X_255,X_256) = join(X_256,X_255) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_256,X_255))),bind(Y0,$fot(join(X_255,X_256)))]]) ).

cnf(refute_0_126,plain,
    join(X_255,X_256) = join(X_256,X_255),
    inference(resolve,[$cnf( $equal(join(X_256,X_255),join(X_255,X_256)) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    ( join(X_254,join(X_255,X_256)) != join(X_255,join(X_256,X_254))
    | join(X_255,X_256) != join(X_256,X_255)
    | join(X_254,join(X_256,X_255)) = join(X_255,join(X_256,X_254)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_254,join(X_255,X_256)),join(X_255,join(X_256,X_254))) ),[0,1],$fot(join(X_256,X_255))]]) ).

cnf(refute_0_128,plain,
    ( join(X_254,join(X_255,X_256)) != join(X_255,join(X_256,X_254))
    | join(X_254,join(X_256,X_255)) = join(X_255,join(X_256,X_254)) ),
    inference(resolve,[$cnf( $equal(join(X_255,X_256),join(X_256,X_255)) )],[refute_0_126,refute_0_127]) ).

cnf(refute_0_129,plain,
    join(X_254,join(X_256,X_255)) = join(X_255,join(X_256,X_254)),
    inference(resolve,[$cnf( $equal(join(X_254,join(X_255,X_256)),join(X_255,join(X_256,X_254))) )],[refute_0_123,refute_0_128]) ).

cnf(refute_0_130,plain,
    ( join(X_254,join(X_256,X_255)) != join(X_255,join(X_256,X_254))
    | join(X_255,join(X_256,X_254)) = join(X_254,join(X_256,X_255)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_254,join(X_256,X_255)))),bind(Y0,$fot(join(X_255,join(X_256,X_254))))]]) ).

cnf(refute_0_131,plain,
    join(X_255,join(X_256,X_254)) = join(X_254,join(X_256,X_255)),
    inference(resolve,[$cnf( $equal(join(X_254,join(X_256,X_255)),join(X_255,join(X_256,X_254))) )],[refute_0_129,refute_0_130]) ).

cnf(refute_0_132,plain,
    join(join(meet(X_69,X_260),X_262),join(X_68,X_69)) = join(X_69,join(X_68,join(meet(X_69,X_260),X_262))),
    inference(subst,[],[refute_0_131:[bind(X_254,$fot(X_69)),bind(X_255,$fot(join(meet(X_69,X_260),X_262))),bind(X_256,$fot(X_68))]]) ).

cnf(refute_0_133,plain,
    ( join(join(meet(X_69,X_260),X_262),join(X_68,X_69)) != join(X_68,join(X_69,X_262))
    | join(join(meet(X_69,X_260),X_262),join(X_68,X_69)) != join(X_69,join(X_68,join(meet(X_69,X_260),X_262)))
    | join(X_69,join(X_68,join(meet(X_69,X_260),X_262))) = join(X_68,join(X_69,X_262)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_69,X_260),X_262),join(X_68,X_69)),join(X_68,join(X_69,X_262))) ),[0],$fot(join(X_69,join(X_68,join(meet(X_69,X_260),X_262))))]]) ).

cnf(refute_0_134,plain,
    ( join(join(meet(X_69,X_260),X_262),join(X_68,X_69)) != join(X_68,join(X_69,X_262))
    | join(X_69,join(X_68,join(meet(X_69,X_260),X_262))) = join(X_68,join(X_69,X_262)) ),
    inference(resolve,[$cnf( $equal(join(join(meet(X_69,X_260),X_262),join(X_68,X_69)),join(X_69,join(X_68,join(meet(X_69,X_260),X_262)))) )],[refute_0_132,refute_0_133]) ).

cnf(refute_0_135,plain,
    join(X_69,join(X_68,join(meet(X_69,X_260),X_262))) = join(X_68,join(X_69,X_262)),
    inference(resolve,[$cnf( $equal(join(join(meet(X_69,X_260),X_262),join(X_68,X_69)),join(X_68,join(X_69,X_262))) )],[refute_0_122,refute_0_134]) ).

cnf(refute_0_136,plain,
    join(X_445,join(X_70,join(meet(X_445,Y),X_444))) = join(X_70,join(X_445,X_444)),
    inference(subst,[],[refute_0_135:[bind(X_260,$fot(Y)),bind(X_262,$fot(X_444)),bind(X_68,$fot(X_70)),bind(X_69,$fot(X_445))]]) ).

cnf(refute_0_137,plain,
    join(join(X_68,join(Y,X_68)),X_70) = join(X_68,join(join(Y,X_68),X_70)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_68)),bind(Y,$fot(join(Y,X_68))),bind(Z,$fot(X_70))]]) ).

cnf(refute_0_138,plain,
    join(X_68,join(Y,X_68)) = join(X_68,Y),
    inference(subst,[],[refute_0_93:[bind(X_63,$fot(X_68))]]) ).

cnf(refute_0_139,plain,
    ( join(X_68,join(Y,X_68)) != join(X_68,Y)
    | join(join(X_68,join(Y,X_68)),X_70) != join(X_68,join(join(Y,X_68),X_70))
    | join(join(X_68,Y),X_70) = join(X_68,join(join(Y,X_68),X_70)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_68,join(Y,X_68)),X_70),join(X_68,join(join(Y,X_68),X_70))) ),[0,0],$fot(join(X_68,Y))]]) ).

cnf(refute_0_140,plain,
    ( join(join(X_68,join(Y,X_68)),X_70) != join(X_68,join(join(Y,X_68),X_70))
    | join(join(X_68,Y),X_70) = join(X_68,join(join(Y,X_68),X_70)) ),
    inference(resolve,[$cnf( $equal(join(X_68,join(Y,X_68)),join(X_68,Y)) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    join(join(X_68,Y),X_70) = join(X_68,join(join(Y,X_68),X_70)),
    inference(resolve,[$cnf( $equal(join(join(X_68,join(Y,X_68)),X_70),join(X_68,join(join(Y,X_68),X_70))) )],[refute_0_137,refute_0_140]) ).

cnf(refute_0_142,plain,
    join(join(X_68,Y),X_70) = join(X_68,join(Y,X_70)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_68)),bind(Z,$fot(X_70))]]) ).

cnf(refute_0_143,plain,
    ( join(join(X_68,Y),X_70) != join(X_68,join(Y,X_70))
    | join(join(X_68,Y),X_70) != join(X_68,join(join(Y,X_68),X_70))
    | join(X_68,join(Y,X_70)) = join(X_68,join(join(Y,X_68),X_70)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_68,Y),X_70),join(X_68,join(join(Y,X_68),X_70))) ),[0],$fot(join(X_68,join(Y,X_70)))]]) ).

cnf(refute_0_144,plain,
    ( join(join(X_68,Y),X_70) != join(X_68,join(join(Y,X_68),X_70))
    | join(X_68,join(Y,X_70)) = join(X_68,join(join(Y,X_68),X_70)) ),
    inference(resolve,[$cnf( $equal(join(join(X_68,Y),X_70),join(X_68,join(Y,X_70))) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    join(join(Y,X_68),X_70) = join(Y,join(X_68,X_70)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(Y)),bind(Y,$fot(X_68)),bind(Z,$fot(X_70))]]) ).

cnf(refute_0_146,plain,
    join(X_68,join(join(Y,X_68),X_70)) = join(X_68,join(join(Y,X_68),X_70)),
    introduced(tautology,[refl,[$fot(join(X_68,join(join(Y,X_68),X_70)))]]) ).

cnf(refute_0_147,plain,
    ( join(X_68,join(join(Y,X_68),X_70)) != join(X_68,join(join(Y,X_68),X_70))
    | join(join(Y,X_68),X_70) != join(Y,join(X_68,X_70))
    | join(X_68,join(join(Y,X_68),X_70)) = join(X_68,join(Y,join(X_68,X_70))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_68,join(join(Y,X_68),X_70)),join(X_68,join(join(Y,X_68),X_70))) ),[1,1],$fot(join(Y,join(X_68,X_70)))]]) ).

cnf(refute_0_148,plain,
    ( join(join(Y,X_68),X_70) != join(Y,join(X_68,X_70))
    | join(X_68,join(join(Y,X_68),X_70)) = join(X_68,join(Y,join(X_68,X_70))) ),
    inference(resolve,[$cnf( $equal(join(X_68,join(join(Y,X_68),X_70)),join(X_68,join(join(Y,X_68),X_70))) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    join(X_68,join(join(Y,X_68),X_70)) = join(X_68,join(Y,join(X_68,X_70))),
    inference(resolve,[$cnf( $equal(join(join(Y,X_68),X_70),join(Y,join(X_68,X_70))) )],[refute_0_145,refute_0_148]) ).

cnf(refute_0_150,plain,
    ( join(X_68,join(Y,X_70)) != join(X_68,join(join(Y,X_68),X_70))
    | join(X_68,join(join(Y,X_68),X_70)) != join(X_68,join(Y,join(X_68,X_70)))
    | join(X_68,join(Y,X_70)) = join(X_68,join(Y,join(X_68,X_70))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_68,join(Y,X_70)),join(X_68,join(Y,join(X_68,X_70)))) ),[0],$fot(join(X_68,join(join(Y,X_68),X_70)))]]) ).

cnf(refute_0_151,plain,
    ( join(X_68,join(Y,X_70)) != join(X_68,join(join(Y,X_68),X_70))
    | join(X_68,join(Y,X_70)) = join(X_68,join(Y,join(X_68,X_70))) ),
    inference(resolve,[$cnf( $equal(join(X_68,join(join(Y,X_68),X_70)),join(X_68,join(Y,join(X_68,X_70)))) )],[refute_0_149,refute_0_150]) ).

cnf(refute_0_152,plain,
    ( join(join(X_68,Y),X_70) != join(X_68,join(join(Y,X_68),X_70))
    | join(X_68,join(Y,X_70)) = join(X_68,join(Y,join(X_68,X_70))) ),
    inference(resolve,[$cnf( $equal(join(X_68,join(Y,X_70)),join(X_68,join(join(Y,X_68),X_70))) )],[refute_0_144,refute_0_151]) ).

cnf(refute_0_153,plain,
    join(X_68,join(Y,X_70)) = join(X_68,join(Y,join(X_68,X_70))),
    inference(resolve,[$cnf( $equal(join(join(X_68,Y),X_70),join(X_68,join(join(Y,X_68),X_70))) )],[refute_0_141,refute_0_152]) ).

cnf(refute_0_154,plain,
    ( join(X_68,join(Y,X_70)) != join(X_68,join(Y,join(X_68,X_70)))
    | join(X_68,join(Y,join(X_68,X_70))) = join(X_68,join(Y,X_70)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_68,join(Y,X_70)))),bind(Y0,$fot(join(X_68,join(Y,join(X_68,X_70)))))]]) ).

cnf(refute_0_155,plain,
    join(X_68,join(Y,join(X_68,X_70))) = join(X_68,join(Y,X_70)),
    inference(resolve,[$cnf( $equal(join(X_68,join(Y,X_70)),join(X_68,join(Y,join(X_68,X_70)))) )],[refute_0_153,refute_0_154]) ).

cnf(refute_0_156,plain,
    join(X_70,join(meet(X_445,Y),join(X_70,X_444))) = join(X_70,join(meet(X_445,Y),X_444)),
    inference(subst,[],[refute_0_155:[bind(Y,$fot(meet(X_445,Y))),bind(X_68,$fot(X_70)),bind(X_70,$fot(X_444))]]) ).

cnf(refute_0_157,plain,
    join(join(meet(X_445,Y),X_70),X_444) = join(meet(X_445,Y),join(X_70,X_444)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_445,Y))),bind(Y,$fot(X_70)),bind(Z,$fot(X_444))]]) ).

cnf(refute_0_158,plain,
    join(X_70,join(join(meet(X_445,Y),X_70),X_444)) = join(X_70,join(join(meet(X_445,Y),X_70),X_444)),
    introduced(tautology,[refl,[$fot(join(X_70,join(join(meet(X_445,Y),X_70),X_444)))]]) ).

cnf(refute_0_159,plain,
    ( join(X_70,join(join(meet(X_445,Y),X_70),X_444)) != join(X_70,join(join(meet(X_445,Y),X_70),X_444))
    | join(join(meet(X_445,Y),X_70),X_444) != join(meet(X_445,Y),join(X_70,X_444))
    | join(X_70,join(join(meet(X_445,Y),X_70),X_444)) = join(X_70,join(meet(X_445,Y),join(X_70,X_444))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_70,join(join(meet(X_445,Y),X_70),X_444)),join(X_70,join(join(meet(X_445,Y),X_70),X_444))) ),[1,1],$fot(join(meet(X_445,Y),join(X_70,X_444)))]]) ).

cnf(refute_0_160,plain,
    ( join(join(meet(X_445,Y),X_70),X_444) != join(meet(X_445,Y),join(X_70,X_444))
    | join(X_70,join(join(meet(X_445,Y),X_70),X_444)) = join(X_70,join(meet(X_445,Y),join(X_70,X_444))) ),
    inference(resolve,[$cnf( $equal(join(X_70,join(join(meet(X_445,Y),X_70),X_444)),join(X_70,join(join(meet(X_445,Y),X_70),X_444))) )],[refute_0_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    join(X_70,join(join(meet(X_445,Y),X_70),X_444)) = join(X_70,join(meet(X_445,Y),join(X_70,X_444))),
    inference(resolve,[$cnf( $equal(join(join(meet(X_445,Y),X_70),X_444),join(meet(X_445,Y),join(X_70,X_444))) )],[refute_0_157,refute_0_160]) ).

cnf(refute_0_162,plain,
    ( join(X_70,join(join(meet(X_445,Y),X_70),X_444)) != join(X_70,join(meet(X_445,Y),join(X_70,X_444)))
    | join(X_70,join(meet(X_445,Y),join(X_70,X_444))) != join(X_70,join(meet(X_445,Y),X_444))
    | join(X_70,join(join(meet(X_445,Y),X_70),X_444)) = join(X_70,join(meet(X_445,Y),X_444)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_70,join(join(meet(X_445,Y),X_70),X_444)))),bind(Y0,$fot(join(X_70,join(meet(X_445,Y),join(X_70,X_444))))),bind(Z0,$fot(join(X_70,join(meet(X_445,Y),X_444))))]]) ).

cnf(refute_0_163,plain,
    ( join(X_70,join(meet(X_445,Y),join(X_70,X_444))) != join(X_70,join(meet(X_445,Y),X_444))
    | join(X_70,join(join(meet(X_445,Y),X_70),X_444)) = join(X_70,join(meet(X_445,Y),X_444)) ),
    inference(resolve,[$cnf( $equal(join(X_70,join(join(meet(X_445,Y),X_70),X_444)),join(X_70,join(meet(X_445,Y),join(X_70,X_444)))) )],[refute_0_161,refute_0_162]) ).

cnf(refute_0_164,plain,
    join(X_70,join(join(meet(X_445,Y),X_70),X_444)) = join(X_70,join(meet(X_445,Y),X_444)),
    inference(resolve,[$cnf( $equal(join(X_70,join(meet(X_445,Y),join(X_70,X_444))),join(X_70,join(meet(X_445,Y),X_444))) )],[refute_0_156,refute_0_163]) ).

cnf(refute_0_165,plain,
    join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) = join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))),
    introduced(tautology,[refl,[$fot(join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))))]]) ).

cnf(refute_0_166,plain,
    ( join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) != join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444)))
    | join(X_70,join(join(meet(X_445,Y),X_70),X_444)) != join(X_70,join(meet(X_445,Y),X_444))
    | join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) = join(X_445,join(X_70,join(meet(X_445,Y),X_444))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))),join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444)))) ),[1,1],$fot(join(X_70,join(meet(X_445,Y),X_444)))]]) ).

cnf(refute_0_167,plain,
    ( join(X_70,join(join(meet(X_445,Y),X_70),X_444)) != join(X_70,join(meet(X_445,Y),X_444))
    | join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) = join(X_445,join(X_70,join(meet(X_445,Y),X_444))) ),
    inference(resolve,[$cnf( $equal(join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))),join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444)))) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) = join(X_445,join(X_70,join(meet(X_445,Y),X_444))),
    inference(resolve,[$cnf( $equal(join(X_70,join(join(meet(X_445,Y),X_70),X_444)),join(X_70,join(meet(X_445,Y),X_444))) )],[refute_0_164,refute_0_167]) ).

cnf(refute_0_169,plain,
    ( join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) != join(X_445,join(X_70,join(meet(X_445,Y),X_444)))
    | join(X_445,join(X_70,join(meet(X_445,Y),X_444))) != join(X_70,join(X_445,X_444))
    | join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) = join(X_70,join(X_445,X_444)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))))),bind(Y0,$fot(join(X_445,join(X_70,join(meet(X_445,Y),X_444))))),bind(Z0,$fot(join(X_70,join(X_445,X_444))))]]) ).

cnf(refute_0_170,plain,
    ( join(X_445,join(X_70,join(meet(X_445,Y),X_444))) != join(X_70,join(X_445,X_444))
    | join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) = join(X_70,join(X_445,X_444)) ),
    inference(resolve,[$cnf( $equal(join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))),join(X_445,join(X_70,join(meet(X_445,Y),X_444)))) )],[refute_0_168,refute_0_169]) ).

cnf(refute_0_171,plain,
    join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) = join(X_70,join(X_445,X_444)),
    inference(resolve,[$cnf( $equal(join(X_445,join(X_70,join(meet(X_445,Y),X_444))),join(X_70,join(X_445,X_444))) )],[refute_0_136,refute_0_170]) ).

cnf(refute_0_172,plain,
    join(join(X_159,join(X_160,Y)),meet(Y,join(X_159,join(X_160,Y)))) = join(X_159,join(X_160,Y)),
    inference(subst,[],[refute_0_64:[bind(X,$fot(join(X_159,join(X_160,Y))))]]) ).

cnf(refute_0_173,plain,
    ( join(X,Y) != join(Y,X)
    | meet(X,join(X,Y)) != X
    | meet(X,join(Y,X)) = X ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,join(X,Y)),X) ),[0,1],$fot(join(Y,X))]]) ).

cnf(refute_0_174,plain,
    ( meet(X,join(X,Y)) != X
    | meet(X,join(Y,X)) = X ),
    inference(resolve,[$cnf( $equal(join(X,Y),join(Y,X)) )],[commutativity_of_join,refute_0_173]) ).

cnf(refute_0_175,plain,
    meet(X,join(Y,X)) = X,
    inference(resolve,[$cnf( $equal(meet(X,join(X,Y)),X) )],[absorption1,refute_0_174]) ).

cnf(refute_0_176,plain,
    meet(X,join(join(X_68,X_69),X)) = X,
    inference(subst,[],[refute_0_175:[bind(Y,$fot(join(X_68,X_69)))]]) ).

cnf(refute_0_177,plain,
    ( join(join(X_68,X_69),X) != join(X_68,join(X_69,X))
    | meet(X,join(join(X_68,X_69),X)) != X
    | meet(X,join(X_68,join(X_69,X))) = X ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,join(join(X_68,X_69),X)),X) ),[0,1],$fot(join(X_68,join(X_69,X)))]]) ).

cnf(refute_0_178,plain,
    ( meet(X,join(join(X_68,X_69),X)) != X
    | meet(X,join(X_68,join(X_69,X))) = X ),
    inference(resolve,[$cnf( $equal(join(join(X_68,X_69),X),join(X_68,join(X_69,X))) )],[refute_0_112,refute_0_177]) ).

cnf(refute_0_179,plain,
    meet(X,join(X_68,join(X_69,X))) = X,
    inference(resolve,[$cnf( $equal(meet(X,join(join(X_68,X_69),X)),X) )],[refute_0_176,refute_0_178]) ).

cnf(refute_0_180,plain,
    meet(Y,join(X_159,join(X_160,Y))) = Y,
    inference(subst,[],[refute_0_179:[bind(X,$fot(Y)),bind(X_68,$fot(X_159)),bind(X_69,$fot(X_160))]]) ).

cnf(refute_0_181,plain,
    ( join(join(X_159,join(X_160,Y)),meet(Y,join(X_159,join(X_160,Y)))) != join(X_159,join(X_160,Y))
    | meet(Y,join(X_159,join(X_160,Y))) != Y
    | join(join(X_159,join(X_160,Y)),Y) = join(X_159,join(X_160,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_159,join(X_160,Y)),meet(Y,join(X_159,join(X_160,Y)))),join(X_159,join(X_160,Y))) ),[0,1],$fot(Y)]]) ).

cnf(refute_0_182,plain,
    ( join(join(X_159,join(X_160,Y)),meet(Y,join(X_159,join(X_160,Y)))) != join(X_159,join(X_160,Y))
    | join(join(X_159,join(X_160,Y)),Y) = join(X_159,join(X_160,Y)) ),
    inference(resolve,[$cnf( $equal(meet(Y,join(X_159,join(X_160,Y))),Y) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    join(join(X_159,join(X_160,Y)),Y) = join(X_159,join(X_160,Y)),
    inference(resolve,[$cnf( $equal(join(join(X_159,join(X_160,Y)),meet(Y,join(X_159,join(X_160,Y)))),join(X_159,join(X_160,Y))) )],[refute_0_172,refute_0_182]) ).

cnf(refute_0_184,plain,
    join(Y,join(X_160,Y)) = join(Y,X_160),
    inference(subst,[],[refute_0_93:[bind(Y,$fot(X_160)),bind(X_63,$fot(Y))]]) ).

cnf(refute_0_185,plain,
    join(X_159,join(Y,join(X_160,Y))) = join(X_159,join(Y,join(X_160,Y))),
    introduced(tautology,[refl,[$fot(join(X_159,join(Y,join(X_160,Y))))]]) ).

cnf(refute_0_186,plain,
    ( join(Y,join(X_160,Y)) != join(Y,X_160)
    | join(X_159,join(Y,join(X_160,Y))) != join(X_159,join(Y,join(X_160,Y)))
    | join(X_159,join(Y,join(X_160,Y))) = join(X_159,join(Y,X_160)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_159,join(Y,join(X_160,Y))),join(X_159,join(Y,join(X_160,Y)))) ),[1,1],$fot(join(Y,X_160))]]) ).

cnf(refute_0_187,plain,
    ( join(Y,join(X_160,Y)) != join(Y,X_160)
    | join(X_159,join(Y,join(X_160,Y))) = join(X_159,join(Y,X_160)) ),
    inference(resolve,[$cnf( $equal(join(X_159,join(Y,join(X_160,Y))),join(X_159,join(Y,join(X_160,Y)))) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    join(X_159,join(Y,join(X_160,Y))) = join(X_159,join(Y,X_160)),
    inference(resolve,[$cnf( $equal(join(Y,join(X_160,Y)),join(Y,X_160)) )],[refute_0_184,refute_0_187]) ).

cnf(refute_0_189,plain,
    join(join(X_68,X_69),X_70) = join(X_68,join(X_69,X_70)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_68)),bind(Y,$fot(X_69)),bind(Z,$fot(X_70))]]) ).

cnf(refute_0_190,plain,
    join(X_70,X_69) = join(X_69,X_70),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_70)),bind(Y,$fot(X_69))]]) ).

cnf(refute_0_191,plain,
    ( join(X_70,X_69) != join(X_69,X_70)
    | join(X_69,X_70) = join(X_70,X_69) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_70,X_69))),bind(Y0,$fot(join(X_69,X_70)))]]) ).

cnf(refute_0_192,plain,
    join(X_69,X_70) = join(X_70,X_69),
    inference(resolve,[$cnf( $equal(join(X_70,X_69),join(X_69,X_70)) )],[refute_0_190,refute_0_191]) ).

cnf(refute_0_193,plain,
    ( join(X_69,X_70) != join(X_70,X_69)
    | join(join(X_68,X_69),X_70) != join(X_68,join(X_69,X_70))
    | join(join(X_68,X_69),X_70) = join(X_68,join(X_70,X_69)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_68,X_69),X_70),join(X_68,join(X_69,X_70))) ),[1,1],$fot(join(X_70,X_69))]]) ).

cnf(refute_0_194,plain,
    ( join(join(X_68,X_69),X_70) != join(X_68,join(X_69,X_70))
    | join(join(X_68,X_69),X_70) = join(X_68,join(X_70,X_69)) ),
    inference(resolve,[$cnf( $equal(join(X_69,X_70),join(X_70,X_69)) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    join(join(X_68,X_69),X_70) = join(X_68,join(X_70,X_69)),
    inference(resolve,[$cnf( $equal(join(join(X_68,X_69),X_70),join(X_68,join(X_69,X_70))) )],[refute_0_189,refute_0_194]) ).

cnf(refute_0_196,plain,
    ( join(join(X_68,X_69),X_70) != join(X_68,join(X_69,X_70))
    | join(join(X_68,X_69),X_70) != join(X_68,join(X_70,X_69))
    | join(X_68,join(X_69,X_70)) = join(X_68,join(X_70,X_69)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_68,X_69),X_70),join(X_68,join(X_70,X_69))) ),[0],$fot(join(X_68,join(X_69,X_70)))]]) ).

cnf(refute_0_197,plain,
    ( join(join(X_68,X_69),X_70) != join(X_68,join(X_70,X_69))
    | join(X_68,join(X_69,X_70)) = join(X_68,join(X_70,X_69)) ),
    inference(resolve,[$cnf( $equal(join(join(X_68,X_69),X_70),join(X_68,join(X_69,X_70))) )],[refute_0_189,refute_0_196]) ).

cnf(refute_0_198,plain,
    join(X_68,join(X_69,X_70)) = join(X_68,join(X_70,X_69)),
    inference(resolve,[$cnf( $equal(join(join(X_68,X_69),X_70),join(X_68,join(X_70,X_69))) )],[refute_0_195,refute_0_197]) ).

cnf(refute_0_199,plain,
    ( join(X_68,join(X_69,X_70)) != join(X_68,join(X_70,X_69))
    | join(X_68,join(X_70,X_69)) = join(X_68,join(X_69,X_70)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_68,join(X_69,X_70)))),bind(Y0,$fot(join(X_68,join(X_70,X_69))))]]) ).

cnf(refute_0_200,plain,
    join(X_68,join(X_70,X_69)) = join(X_68,join(X_69,X_70)),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_69,X_70)),join(X_68,join(X_70,X_69))) )],[refute_0_198,refute_0_199]) ).

cnf(refute_0_201,plain,
    join(X_159,join(join(X_160,Y),Y)) = join(X_159,join(Y,join(X_160,Y))),
    inference(subst,[],[refute_0_200:[bind(X_68,$fot(X_159)),bind(X_69,$fot(Y)),bind(X_70,$fot(join(X_160,Y)))]]) ).

cnf(refute_0_202,plain,
    join(join(X_159,join(X_160,Y)),Y) = join(X_159,join(join(X_160,Y),Y)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_159)),bind(Y,$fot(join(X_160,Y))),bind(Z,$fot(Y))]]) ).

cnf(refute_0_203,plain,
    ( join(X_159,join(join(X_160,Y),Y)) != join(X_159,join(Y,join(X_160,Y)))
    | join(join(X_159,join(X_160,Y)),Y) != join(X_159,join(join(X_160,Y),Y))
    | join(join(X_159,join(X_160,Y)),Y) = join(X_159,join(Y,join(X_160,Y))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(join(X_159,join(X_160,Y)),Y))),bind(Y0,$fot(join(X_159,join(join(X_160,Y),Y)))),bind(Z0,$fot(join(X_159,join(Y,join(X_160,Y)))))]]) ).

cnf(refute_0_204,plain,
    ( join(X_159,join(join(X_160,Y),Y)) != join(X_159,join(Y,join(X_160,Y)))
    | join(join(X_159,join(X_160,Y)),Y) = join(X_159,join(Y,join(X_160,Y))) ),
    inference(resolve,[$cnf( $equal(join(join(X_159,join(X_160,Y)),Y),join(X_159,join(join(X_160,Y),Y))) )],[refute_0_202,refute_0_203]) ).

cnf(refute_0_205,plain,
    join(join(X_159,join(X_160,Y)),Y) = join(X_159,join(Y,join(X_160,Y))),
    inference(resolve,[$cnf( $equal(join(X_159,join(join(X_160,Y),Y)),join(X_159,join(Y,join(X_160,Y)))) )],[refute_0_201,refute_0_204]) ).

cnf(refute_0_206,plain,
    ( join(X_159,join(Y,join(X_160,Y))) != join(X_159,join(Y,X_160))
    | join(join(X_159,join(X_160,Y)),Y) != join(X_159,join(Y,join(X_160,Y)))
    | join(join(X_159,join(X_160,Y)),Y) = join(X_159,join(Y,X_160)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(join(X_159,join(X_160,Y)),Y))),bind(Y0,$fot(join(X_159,join(Y,join(X_160,Y))))),bind(Z0,$fot(join(X_159,join(Y,X_160))))]]) ).

cnf(refute_0_207,plain,
    ( join(X_159,join(Y,join(X_160,Y))) != join(X_159,join(Y,X_160))
    | join(join(X_159,join(X_160,Y)),Y) = join(X_159,join(Y,X_160)) ),
    inference(resolve,[$cnf( $equal(join(join(X_159,join(X_160,Y)),Y),join(X_159,join(Y,join(X_160,Y)))) )],[refute_0_205,refute_0_206]) ).

cnf(refute_0_208,plain,
    join(join(X_159,join(X_160,Y)),Y) = join(X_159,join(Y,X_160)),
    inference(resolve,[$cnf( $equal(join(X_159,join(Y,join(X_160,Y))),join(X_159,join(Y,X_160))) )],[refute_0_188,refute_0_207]) ).

cnf(refute_0_209,plain,
    ( join(join(X_159,join(X_160,Y)),Y) != join(X_159,join(Y,X_160))
    | join(join(X_159,join(X_160,Y)),Y) != join(X_159,join(X_160,Y))
    | join(X_159,join(Y,X_160)) = join(X_159,join(X_160,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_159,join(X_160,Y)),Y),join(X_159,join(X_160,Y))) ),[0],$fot(join(X_159,join(Y,X_160)))]]) ).

cnf(refute_0_210,plain,
    ( join(join(X_159,join(X_160,Y)),Y) != join(X_159,join(X_160,Y))
    | join(X_159,join(Y,X_160)) = join(X_159,join(X_160,Y)) ),
    inference(resolve,[$cnf( $equal(join(join(X_159,join(X_160,Y)),Y),join(X_159,join(Y,X_160))) )],[refute_0_208,refute_0_209]) ).

cnf(refute_0_211,plain,
    join(X_159,join(Y,X_160)) = join(X_159,join(X_160,Y)),
    inference(resolve,[$cnf( $equal(join(join(X_159,join(X_160,Y)),Y),join(X_159,join(X_160,Y))) )],[refute_0_183,refute_0_210]) ).

cnf(refute_0_212,plain,
    join(X_323,join(join(X,Y),X_324)) = join(X_323,join(X_324,join(X,Y))),
    inference(subst,[],[refute_0_211:[bind(Y,$fot(join(X,Y))),bind(X_159,$fot(X_323)),bind(X_160,$fot(X_324))]]) ).

cnf(refute_0_213,plain,
    join(join(X,Y),X_324) = join(X,join(Y,X_324)),
    inference(subst,[],[associativity_of_join:[bind(Z,$fot(X_324))]]) ).

cnf(refute_0_214,plain,
    ( join(X_323,join(join(X,Y),X_324)) != join(X_323,join(X_324,join(X,Y)))
    | join(join(X,Y),X_324) != join(X,join(Y,X_324))
    | join(X_323,join(X,join(Y,X_324))) = join(X_323,join(X_324,join(X,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_323,join(join(X,Y),X_324)),join(X_323,join(X_324,join(X,Y)))) ),[0,1],$fot(join(X,join(Y,X_324)))]]) ).

cnf(refute_0_215,plain,
    ( join(X_323,join(join(X,Y),X_324)) != join(X_323,join(X_324,join(X,Y)))
    | join(X_323,join(X,join(Y,X_324))) = join(X_323,join(X_324,join(X,Y))) ),
    inference(resolve,[$cnf( $equal(join(join(X,Y),X_324),join(X,join(Y,X_324))) )],[refute_0_213,refute_0_214]) ).

cnf(refute_0_216,plain,
    join(X_323,join(X,join(Y,X_324))) = join(X_323,join(X_324,join(X,Y))),
    inference(resolve,[$cnf( $equal(join(X_323,join(join(X,Y),X_324)),join(X_323,join(X_324,join(X,Y)))) )],[refute_0_212,refute_0_215]) ).

cnf(refute_0_217,plain,
    join(X_445,join(join(meet(X_445,Y),X_70),join(X_444,X_70))) = join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))),
    inference(subst,[],[refute_0_216:[bind(X,$fot(join(meet(X_445,Y),X_70))),bind(Y,$fot(X_444)),bind(X_323,$fot(X_445)),bind(X_324,$fot(X_70))]]) ).

cnf(refute_0_218,plain,
    join(join(X,join(X_444,join(X_445,X))),Z) = join(X,join(join(X_444,join(X_445,X)),Z)),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(join(X_444,join(X_445,X))))]]) ).

cnf(refute_0_219,plain,
    join(X,join(X_444,join(X_445,X))) = join(X,join(X_444,X_445)),
    inference(subst,[],[refute_0_98:[bind(X_63,$fot(X)),bind(X_68,$fot(X_444)),bind(X_69,$fot(X_445))]]) ).

cnf(refute_0_220,plain,
    ( join(X,join(X_444,join(X_445,X))) != join(X,join(X_444,X_445))
    | join(join(X,join(X_444,join(X_445,X))),Z) != join(X,join(join(X_444,join(X_445,X)),Z))
    | join(join(X,join(X_444,X_445)),Z) = join(X,join(join(X_444,join(X_445,X)),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,join(X_444,join(X_445,X))),Z),join(X,join(join(X_444,join(X_445,X)),Z))) ),[0,0],$fot(join(X,join(X_444,X_445)))]]) ).

cnf(refute_0_221,plain,
    ( join(join(X,join(X_444,join(X_445,X))),Z) != join(X,join(join(X_444,join(X_445,X)),Z))
    | join(join(X,join(X_444,X_445)),Z) = join(X,join(join(X_444,join(X_445,X)),Z)) ),
    inference(resolve,[$cnf( $equal(join(X,join(X_444,join(X_445,X))),join(X,join(X_444,X_445))) )],[refute_0_219,refute_0_220]) ).

cnf(refute_0_222,plain,
    join(join(X,join(X_444,X_445)),Z) = join(X,join(join(X_444,join(X_445,X)),Z)),
    inference(resolve,[$cnf( $equal(join(join(X,join(X_444,join(X_445,X))),Z),join(X,join(join(X_444,join(X_445,X)),Z))) )],[refute_0_218,refute_0_221]) ).

cnf(refute_0_223,plain,
    join(join(X_444,X_445),Z) = join(X_444,join(X_445,Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_444)),bind(Y,$fot(X_445))]]) ).

cnf(refute_0_224,plain,
    join(X,join(join(X_444,X_445),Z)) = join(X,join(join(X_444,X_445),Z)),
    introduced(tautology,[refl,[$fot(join(X,join(join(X_444,X_445),Z)))]]) ).

cnf(refute_0_225,plain,
    ( join(X,join(join(X_444,X_445),Z)) != join(X,join(join(X_444,X_445),Z))
    | join(join(X_444,X_445),Z) != join(X_444,join(X_445,Z))
    | join(X,join(join(X_444,X_445),Z)) = join(X,join(X_444,join(X_445,Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(join(X_444,X_445),Z)),join(X,join(join(X_444,X_445),Z))) ),[1,1],$fot(join(X_444,join(X_445,Z)))]]) ).

cnf(refute_0_226,plain,
    ( join(join(X_444,X_445),Z) != join(X_444,join(X_445,Z))
    | join(X,join(join(X_444,X_445),Z)) = join(X,join(X_444,join(X_445,Z))) ),
    inference(resolve,[$cnf( $equal(join(X,join(join(X_444,X_445),Z)),join(X,join(join(X_444,X_445),Z))) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    join(X,join(join(X_444,X_445),Z)) = join(X,join(X_444,join(X_445,Z))),
    inference(resolve,[$cnf( $equal(join(join(X_444,X_445),Z),join(X_444,join(X_445,Z))) )],[refute_0_223,refute_0_226]) ).

cnf(refute_0_228,plain,
    join(join(X,join(X_444,X_445)),Z) = join(X,join(join(X_444,X_445),Z)),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(join(X_444,X_445)))]]) ).

cnf(refute_0_229,plain,
    ( join(X,join(join(X_444,X_445),Z)) != join(X,join(X_444,join(X_445,Z)))
    | join(join(X,join(X_444,X_445)),Z) != join(X,join(join(X_444,X_445),Z))
    | join(join(X,join(X_444,X_445)),Z) = join(X,join(X_444,join(X_445,Z))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(join(X,join(X_444,X_445)),Z))),bind(Y0,$fot(join(X,join(join(X_444,X_445),Z)))),bind(Z0,$fot(join(X,join(X_444,join(X_445,Z)))))]]) ).

cnf(refute_0_230,plain,
    ( join(X,join(join(X_444,X_445),Z)) != join(X,join(X_444,join(X_445,Z)))
    | join(join(X,join(X_444,X_445)),Z) = join(X,join(X_444,join(X_445,Z))) ),
    inference(resolve,[$cnf( $equal(join(join(X,join(X_444,X_445)),Z),join(X,join(join(X_444,X_445),Z))) )],[refute_0_228,refute_0_229]) ).

cnf(refute_0_231,plain,
    join(join(X,join(X_444,X_445)),Z) = join(X,join(X_444,join(X_445,Z))),
    inference(resolve,[$cnf( $equal(join(X,join(join(X_444,X_445),Z)),join(X,join(X_444,join(X_445,Z)))) )],[refute_0_227,refute_0_230]) ).

cnf(refute_0_232,plain,
    ( join(join(X,join(X_444,X_445)),Z) != join(X,join(X_444,join(X_445,Z)))
    | join(join(X,join(X_444,X_445)),Z) != join(X,join(join(X_444,join(X_445,X)),Z))
    | join(X,join(X_444,join(X_445,Z))) = join(X,join(join(X_444,join(X_445,X)),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,join(X_444,X_445)),Z),join(X,join(join(X_444,join(X_445,X)),Z))) ),[0],$fot(join(X,join(X_444,join(X_445,Z))))]]) ).

cnf(refute_0_233,plain,
    ( join(join(X,join(X_444,X_445)),Z) != join(X,join(join(X_444,join(X_445,X)),Z))
    | join(X,join(X_444,join(X_445,Z))) = join(X,join(join(X_444,join(X_445,X)),Z)) ),
    inference(resolve,[$cnf( $equal(join(join(X,join(X_444,X_445)),Z),join(X,join(X_444,join(X_445,Z)))) )],[refute_0_231,refute_0_232]) ).

cnf(refute_0_234,plain,
    join(join(X_68,join(X_69,X_257)),X_259) = join(join(X_68,join(X_69,X_257)),join(meet(X_257,join(X_68,join(X_69,X_257))),X_259)),
    inference(subst,[],[refute_0_68:[bind(Y,$fot(X_257)),bind(X_68,$fot(join(X_68,join(X_69,X_257)))),bind(X_70,$fot(X_259))]]) ).

cnf(refute_0_235,plain,
    meet(X_257,join(X_68,join(X_69,X_257))) = X_257,
    inference(subst,[],[refute_0_179:[bind(X,$fot(X_257))]]) ).

cnf(refute_0_236,plain,
    ( join(join(X_68,join(X_69,X_257)),X_259) != join(join(X_68,join(X_69,X_257)),join(meet(X_257,join(X_68,join(X_69,X_257))),X_259))
    | meet(X_257,join(X_68,join(X_69,X_257))) != X_257
    | join(join(X_68,join(X_69,X_257)),X_259) = join(join(X_68,join(X_69,X_257)),join(X_257,X_259)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_68,join(X_69,X_257)),X_259),join(join(X_68,join(X_69,X_257)),join(meet(X_257,join(X_68,join(X_69,X_257))),X_259))) ),[1,1,0],$fot(X_257)]]) ).

cnf(refute_0_237,plain,
    ( join(join(X_68,join(X_69,X_257)),X_259) != join(join(X_68,join(X_69,X_257)),join(meet(X_257,join(X_68,join(X_69,X_257))),X_259))
    | join(join(X_68,join(X_69,X_257)),X_259) = join(join(X_68,join(X_69,X_257)),join(X_257,X_259)) ),
    inference(resolve,[$cnf( $equal(meet(X_257,join(X_68,join(X_69,X_257))),X_257) )],[refute_0_235,refute_0_236]) ).

cnf(refute_0_238,plain,
    join(join(X_68,join(X_69,X_257)),X_259) = join(join(X_68,join(X_69,X_257)),join(X_257,X_259)),
    inference(resolve,[$cnf( $equal(join(join(X_68,join(X_69,X_257)),X_259),join(join(X_68,join(X_69,X_257)),join(meet(X_257,join(X_68,join(X_69,X_257))),X_259))) )],[refute_0_234,refute_0_237]) ).

cnf(refute_0_239,plain,
    join(join(X_69,X_257),X_259) = join(X_69,join(X_257,X_259)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_69)),bind(Y,$fot(X_257)),bind(Z,$fot(X_259))]]) ).

cnf(refute_0_240,plain,
    join(X_68,join(join(X_69,X_257),X_259)) = join(X_68,join(join(X_69,X_257),X_259)),
    introduced(tautology,[refl,[$fot(join(X_68,join(join(X_69,X_257),X_259)))]]) ).

cnf(refute_0_241,plain,
    ( join(X_68,join(join(X_69,X_257),X_259)) != join(X_68,join(join(X_69,X_257),X_259))
    | join(join(X_69,X_257),X_259) != join(X_69,join(X_257,X_259))
    | join(X_68,join(join(X_69,X_257),X_259)) = join(X_68,join(X_69,join(X_257,X_259))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_68,join(join(X_69,X_257),X_259)),join(X_68,join(join(X_69,X_257),X_259))) ),[1,1],$fot(join(X_69,join(X_257,X_259)))]]) ).

cnf(refute_0_242,plain,
    ( join(join(X_69,X_257),X_259) != join(X_69,join(X_257,X_259))
    | join(X_68,join(join(X_69,X_257),X_259)) = join(X_68,join(X_69,join(X_257,X_259))) ),
    inference(resolve,[$cnf( $equal(join(X_68,join(join(X_69,X_257),X_259)),join(X_68,join(join(X_69,X_257),X_259))) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    join(X_68,join(join(X_69,X_257),X_259)) = join(X_68,join(X_69,join(X_257,X_259))),
    inference(resolve,[$cnf( $equal(join(join(X_69,X_257),X_259),join(X_69,join(X_257,X_259))) )],[refute_0_239,refute_0_242]) ).

cnf(refute_0_244,plain,
    join(join(X_68,join(X_69,X_257)),X_259) = join(X_68,join(join(X_69,X_257),X_259)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_68)),bind(Y,$fot(join(X_69,X_257))),bind(Z,$fot(X_259))]]) ).

cnf(refute_0_245,plain,
    ( join(X_68,join(join(X_69,X_257),X_259)) != join(X_68,join(X_69,join(X_257,X_259)))
    | join(join(X_68,join(X_69,X_257)),X_259) != join(X_68,join(join(X_69,X_257),X_259))
    | join(join(X_68,join(X_69,X_257)),X_259) = join(X_68,join(X_69,join(X_257,X_259))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(join(X_68,join(X_69,X_257)),X_259))),bind(Y0,$fot(join(X_68,join(join(X_69,X_257),X_259)))),bind(Z0,$fot(join(X_68,join(X_69,join(X_257,X_259)))))]]) ).

cnf(refute_0_246,plain,
    ( join(X_68,join(join(X_69,X_257),X_259)) != join(X_68,join(X_69,join(X_257,X_259)))
    | join(join(X_68,join(X_69,X_257)),X_259) = join(X_68,join(X_69,join(X_257,X_259))) ),
    inference(resolve,[$cnf( $equal(join(join(X_68,join(X_69,X_257)),X_259),join(X_68,join(join(X_69,X_257),X_259))) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    join(join(X_68,join(X_69,X_257)),X_259) = join(X_68,join(X_69,join(X_257,X_259))),
    inference(resolve,[$cnf( $equal(join(X_68,join(join(X_69,X_257),X_259)),join(X_68,join(X_69,join(X_257,X_259)))) )],[refute_0_243,refute_0_246]) ).

cnf(refute_0_248,plain,
    ( join(join(X_68,join(X_69,X_257)),X_259) != join(X_68,join(X_69,join(X_257,X_259)))
    | join(join(X_68,join(X_69,X_257)),X_259) != join(join(X_68,join(X_69,X_257)),join(X_257,X_259))
    | join(X_68,join(X_69,join(X_257,X_259))) = join(join(X_68,join(X_69,X_257)),join(X_257,X_259)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_68,join(X_69,X_257)),X_259),join(join(X_68,join(X_69,X_257)),join(X_257,X_259))) ),[0],$fot(join(X_68,join(X_69,join(X_257,X_259))))]]) ).

cnf(refute_0_249,plain,
    ( join(join(X_68,join(X_69,X_257)),X_259) != join(join(X_68,join(X_69,X_257)),join(X_257,X_259))
    | join(X_68,join(X_69,join(X_257,X_259))) = join(join(X_68,join(X_69,X_257)),join(X_257,X_259)) ),
    inference(resolve,[$cnf( $equal(join(join(X_68,join(X_69,X_257)),X_259),join(X_68,join(X_69,join(X_257,X_259)))) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    join(X_257,join(join(X_68,join(X_69,X_257)),X_259)) = join(X_257,join(join(X_68,join(X_69,X_257)),X_259)),
    introduced(tautology,[refl,[$fot(join(X_257,join(join(X_68,join(X_69,X_257)),X_259)))]]) ).

cnf(refute_0_251,plain,
    ( join(X_257,join(join(X_68,join(X_69,X_257)),X_259)) != join(X_257,join(join(X_68,join(X_69,X_257)),X_259))
    | join(join(X_68,join(X_69,X_257)),X_259) != join(X_68,join(X_69,join(X_257,X_259)))
    | join(X_257,join(join(X_68,join(X_69,X_257)),X_259)) = join(X_257,join(X_68,join(X_69,join(X_257,X_259)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_257,join(join(X_68,join(X_69,X_257)),X_259)),join(X_257,join(join(X_68,join(X_69,X_257)),X_259))) ),[1,1],$fot(join(X_68,join(X_69,join(X_257,X_259))))]]) ).

cnf(refute_0_252,plain,
    ( join(join(X_68,join(X_69,X_257)),X_259) != join(X_68,join(X_69,join(X_257,X_259)))
    | join(X_257,join(join(X_68,join(X_69,X_257)),X_259)) = join(X_257,join(X_68,join(X_69,join(X_257,X_259)))) ),
    inference(resolve,[$cnf( $equal(join(X_257,join(join(X_68,join(X_69,X_257)),X_259)),join(X_257,join(join(X_68,join(X_69,X_257)),X_259))) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    join(X_257,join(join(X_68,join(X_69,X_257)),X_259)) = join(X_257,join(X_68,join(X_69,join(X_257,X_259)))),
    inference(resolve,[$cnf( $equal(join(join(X_68,join(X_69,X_257)),X_259),join(X_68,join(X_69,join(X_257,X_259)))) )],[refute_0_247,refute_0_252]) ).

cnf(refute_0_254,plain,
    join(join(Y,X_256),join(X_255,X_256)) = join(X_255,join(X_256,join(Y,X_256))),
    inference(subst,[],[refute_0_115:[bind(X,$fot(join(Y,X_256))),bind(X_68,$fot(X_255)),bind(X_69,$fot(X_256))]]) ).

cnf(refute_0_255,plain,
    join(X_256,join(Y,X_256)) = join(X_256,Y),
    inference(subst,[],[refute_0_93:[bind(X_63,$fot(X_256))]]) ).

cnf(refute_0_256,plain,
    ( join(X_256,join(Y,X_256)) != join(X_256,Y)
    | join(join(Y,X_256),join(X_255,X_256)) != join(X_255,join(X_256,join(Y,X_256)))
    | join(join(Y,X_256),join(X_255,X_256)) = join(X_255,join(X_256,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(Y,X_256),join(X_255,X_256)),join(X_255,join(X_256,join(Y,X_256)))) ),[1,1],$fot(join(X_256,Y))]]) ).

cnf(refute_0_257,plain,
    ( join(join(Y,X_256),join(X_255,X_256)) != join(X_255,join(X_256,join(Y,X_256)))
    | join(join(Y,X_256),join(X_255,X_256)) = join(X_255,join(X_256,Y)) ),
    inference(resolve,[$cnf( $equal(join(X_256,join(Y,X_256)),join(X_256,Y)) )],[refute_0_255,refute_0_256]) ).

cnf(refute_0_258,plain,
    join(join(Y,X_256),join(X_255,X_256)) = join(X_255,join(X_256,Y)),
    inference(resolve,[$cnf( $equal(join(join(Y,X_256),join(X_255,X_256)),join(X_255,join(X_256,join(Y,X_256)))) )],[refute_0_254,refute_0_257]) ).

cnf(refute_0_259,plain,
    join(X_256,join(X_255,join(Y,X_256))) = join(X_256,join(X_255,Y)),
    inference(subst,[],[refute_0_98:[bind(X_63,$fot(X_256)),bind(X_68,$fot(X_255)),bind(X_69,$fot(Y))]]) ).

cnf(refute_0_260,plain,
    join(join(Y,X_256),join(X_255,X_256)) = join(X_256,join(X_255,join(Y,X_256))),
    inference(subst,[],[refute_0_131:[bind(X_254,$fot(X_256)),bind(X_255,$fot(join(Y,X_256))),bind(X_256,$fot(X_255))]]) ).

cnf(refute_0_261,plain,
    ( join(X_256,join(X_255,join(Y,X_256))) != join(X_256,join(X_255,Y))
    | join(join(Y,X_256),join(X_255,X_256)) != join(X_256,join(X_255,join(Y,X_256)))
    | join(join(Y,X_256),join(X_255,X_256)) = join(X_256,join(X_255,Y)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(join(Y,X_256),join(X_255,X_256)))),bind(Y0,$fot(join(X_256,join(X_255,join(Y,X_256))))),bind(Z0,$fot(join(X_256,join(X_255,Y))))]]) ).

cnf(refute_0_262,plain,
    ( join(X_256,join(X_255,join(Y,X_256))) != join(X_256,join(X_255,Y))
    | join(join(Y,X_256),join(X_255,X_256)) = join(X_256,join(X_255,Y)) ),
    inference(resolve,[$cnf( $equal(join(join(Y,X_256),join(X_255,X_256)),join(X_256,join(X_255,join(Y,X_256)))) )],[refute_0_260,refute_0_261]) ).

cnf(refute_0_263,plain,
    join(join(Y,X_256),join(X_255,X_256)) = join(X_256,join(X_255,Y)),
    inference(resolve,[$cnf( $equal(join(X_256,join(X_255,join(Y,X_256))),join(X_256,join(X_255,Y))) )],[refute_0_259,refute_0_262]) ).

cnf(refute_0_264,plain,
    ( join(join(Y,X_256),join(X_255,X_256)) != join(X_255,join(X_256,Y))
    | join(join(Y,X_256),join(X_255,X_256)) != join(X_256,join(X_255,Y))
    | join(X_256,join(X_255,Y)) = join(X_255,join(X_256,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(Y,X_256),join(X_255,X_256)),join(X_255,join(X_256,Y))) ),[0],$fot(join(X_256,join(X_255,Y)))]]) ).

cnf(refute_0_265,plain,
    ( join(join(Y,X_256),join(X_255,X_256)) != join(X_255,join(X_256,Y))
    | join(X_256,join(X_255,Y)) = join(X_255,join(X_256,Y)) ),
    inference(resolve,[$cnf( $equal(join(join(Y,X_256),join(X_255,X_256)),join(X_256,join(X_255,Y))) )],[refute_0_263,refute_0_264]) ).

cnf(refute_0_266,plain,
    join(X_256,join(X_255,Y)) = join(X_255,join(X_256,Y)),
    inference(resolve,[$cnf( $equal(join(join(Y,X_256),join(X_255,X_256)),join(X_255,join(X_256,Y))) )],[refute_0_258,refute_0_265]) ).

cnf(refute_0_267,plain,
    ( join(X_256,join(X_255,Y)) != join(X_255,join(X_256,Y))
    | join(X_255,join(X_256,Y)) = join(X_256,join(X_255,Y)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_256,join(X_255,Y)))),bind(Y0,$fot(join(X_255,join(X_256,Y))))]]) ).

cnf(refute_0_268,plain,
    join(X_255,join(X_256,Y)) = join(X_256,join(X_255,Y)),
    inference(resolve,[$cnf( $equal(join(X_256,join(X_255,Y)),join(X_255,join(X_256,Y))) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    join(join(X_68,join(X_69,X_257)),join(X_257,X_259)) = join(X_257,join(join(X_68,join(X_69,X_257)),X_259)),
    inference(subst,[],[refute_0_268:[bind(Y,$fot(X_259)),bind(X_255,$fot(join(X_68,join(X_69,X_257)))),bind(X_256,$fot(X_257))]]) ).

cnf(refute_0_270,plain,
    ( join(X_257,join(join(X_68,join(X_69,X_257)),X_259)) != join(X_257,join(X_68,join(X_69,join(X_257,X_259))))
    | join(join(X_68,join(X_69,X_257)),join(X_257,X_259)) != join(X_257,join(join(X_68,join(X_69,X_257)),X_259))
    | join(join(X_68,join(X_69,X_257)),join(X_257,X_259)) = join(X_257,join(X_68,join(X_69,join(X_257,X_259)))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(join(X_68,join(X_69,X_257)),join(X_257,X_259)))),bind(Y0,$fot(join(X_257,join(join(X_68,join(X_69,X_257)),X_259)))),bind(Z0,$fot(join(X_257,join(X_68,join(X_69,join(X_257,X_259))))))]]) ).

cnf(refute_0_271,plain,
    ( join(X_257,join(join(X_68,join(X_69,X_257)),X_259)) != join(X_257,join(X_68,join(X_69,join(X_257,X_259))))
    | join(join(X_68,join(X_69,X_257)),join(X_257,X_259)) = join(X_257,join(X_68,join(X_69,join(X_257,X_259)))) ),
    inference(resolve,[$cnf( $equal(join(join(X_68,join(X_69,X_257)),join(X_257,X_259)),join(X_257,join(join(X_68,join(X_69,X_257)),X_259))) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    join(join(X_68,join(X_69,X_257)),join(X_257,X_259)) = join(X_257,join(X_68,join(X_69,join(X_257,X_259)))),
    inference(resolve,[$cnf( $equal(join(X_257,join(join(X_68,join(X_69,X_257)),X_259)),join(X_257,join(X_68,join(X_69,join(X_257,X_259))))) )],[refute_0_253,refute_0_271]) ).

cnf(refute_0_273,plain,
    ( join(X_68,join(X_69,join(X_257,X_259))) != join(join(X_68,join(X_69,X_257)),join(X_257,X_259))
    | join(join(X_68,join(X_69,X_257)),join(X_257,X_259)) != join(X_257,join(X_68,join(X_69,join(X_257,X_259))))
    | join(X_68,join(X_69,join(X_257,X_259))) = join(X_257,join(X_68,join(X_69,join(X_257,X_259)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_68,join(X_69,join(X_257,X_259))),join(X_257,join(X_68,join(X_69,join(X_257,X_259))))) ),[0],$fot(join(join(X_68,join(X_69,X_257)),join(X_257,X_259)))]]) ).

cnf(refute_0_274,plain,
    ( join(X_68,join(X_69,join(X_257,X_259))) != join(join(X_68,join(X_69,X_257)),join(X_257,X_259))
    | join(X_68,join(X_69,join(X_257,X_259))) = join(X_257,join(X_68,join(X_69,join(X_257,X_259)))) ),
    inference(resolve,[$cnf( $equal(join(join(X_68,join(X_69,X_257)),join(X_257,X_259)),join(X_257,join(X_68,join(X_69,join(X_257,X_259))))) )],[refute_0_272,refute_0_273]) ).

cnf(refute_0_275,plain,
    ( join(join(X_68,join(X_69,X_257)),X_259) != join(join(X_68,join(X_69,X_257)),join(X_257,X_259))
    | join(X_68,join(X_69,join(X_257,X_259))) = join(X_257,join(X_68,join(X_69,join(X_257,X_259)))) ),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_69,join(X_257,X_259))),join(join(X_68,join(X_69,X_257)),join(X_257,X_259))) )],[refute_0_249,refute_0_274]) ).

cnf(refute_0_276,plain,
    join(X_68,join(X_69,join(X_257,X_259))) = join(X_257,join(X_68,join(X_69,join(X_257,X_259)))),
    inference(resolve,[$cnf( $equal(join(join(X_68,join(X_69,X_257)),X_259),join(join(X_68,join(X_69,X_257)),join(X_257,X_259))) )],[refute_0_238,refute_0_275]) ).

cnf(refute_0_277,plain,
    ( join(X_68,join(X_69,join(X_257,X_259))) != join(X_257,join(X_68,join(X_69,join(X_257,X_259))))
    | join(X_257,join(X_68,join(X_69,join(X_257,X_259)))) = join(X_68,join(X_69,join(X_257,X_259))) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_68,join(X_69,join(X_257,X_259))))),bind(Y0,$fot(join(X_257,join(X_68,join(X_69,join(X_257,X_259))))))]]) ).

cnf(refute_0_278,plain,
    join(X_257,join(X_68,join(X_69,join(X_257,X_259)))) = join(X_68,join(X_69,join(X_257,X_259))),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_69,join(X_257,X_259))),join(X_257,join(X_68,join(X_69,join(X_257,X_259))))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    join(X,join(X_444,join(X_445,join(X,Z)))) = join(X_444,join(X_445,join(X,Z))),
    inference(subst,[],[refute_0_278:[bind(X_257,$fot(X)),bind(X_259,$fot(Z)),bind(X_68,$fot(X_444)),bind(X_69,$fot(X_445))]]) ).

cnf(refute_0_280,plain,
    join(join(X_445,X),Z) = join(X_445,join(X,Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_445)),bind(Y,$fot(X))]]) ).

cnf(refute_0_281,plain,
    join(X_444,join(join(X_445,X),Z)) = join(X_444,join(join(X_445,X),Z)),
    introduced(tautology,[refl,[$fot(join(X_444,join(join(X_445,X),Z)))]]) ).

cnf(refute_0_282,plain,
    ( join(X_444,join(join(X_445,X),Z)) != join(X_444,join(join(X_445,X),Z))
    | join(join(X_445,X),Z) != join(X_445,join(X,Z))
    | join(X_444,join(join(X_445,X),Z)) = join(X_444,join(X_445,join(X,Z))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_444,join(join(X_445,X),Z)),join(X_444,join(join(X_445,X),Z))) ),[1,1],$fot(join(X_445,join(X,Z)))]]) ).

cnf(refute_0_283,plain,
    ( join(join(X_445,X),Z) != join(X_445,join(X,Z))
    | join(X_444,join(join(X_445,X),Z)) = join(X_444,join(X_445,join(X,Z))) ),
    inference(resolve,[$cnf( $equal(join(X_444,join(join(X_445,X),Z)),join(X_444,join(join(X_445,X),Z))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    join(X_444,join(join(X_445,X),Z)) = join(X_444,join(X_445,join(X,Z))),
    inference(resolve,[$cnf( $equal(join(join(X_445,X),Z),join(X_445,join(X,Z))) )],[refute_0_280,refute_0_283]) ).

cnf(refute_0_285,plain,
    join(join(X_444,join(X_445,X)),Z) = join(X_444,join(join(X_445,X),Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_444)),bind(Y,$fot(join(X_445,X)))]]) ).

cnf(refute_0_286,plain,
    ( join(X_444,join(join(X_445,X),Z)) != join(X_444,join(X_445,join(X,Z)))
    | join(join(X_444,join(X_445,X)),Z) != join(X_444,join(join(X_445,X),Z))
    | join(join(X_444,join(X_445,X)),Z) = join(X_444,join(X_445,join(X,Z))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(join(X_444,join(X_445,X)),Z))),bind(Y0,$fot(join(X_444,join(join(X_445,X),Z)))),bind(Z0,$fot(join(X_444,join(X_445,join(X,Z)))))]]) ).

cnf(refute_0_287,plain,
    ( join(X_444,join(join(X_445,X),Z)) != join(X_444,join(X_445,join(X,Z)))
    | join(join(X_444,join(X_445,X)),Z) = join(X_444,join(X_445,join(X,Z))) ),
    inference(resolve,[$cnf( $equal(join(join(X_444,join(X_445,X)),Z),join(X_444,join(join(X_445,X),Z))) )],[refute_0_285,refute_0_286]) ).

cnf(refute_0_288,plain,
    join(join(X_444,join(X_445,X)),Z) = join(X_444,join(X_445,join(X,Z))),
    inference(resolve,[$cnf( $equal(join(X_444,join(join(X_445,X),Z)),join(X_444,join(X_445,join(X,Z)))) )],[refute_0_284,refute_0_287]) ).

cnf(refute_0_289,plain,
    join(X,join(join(X_444,join(X_445,X)),Z)) = join(X,join(join(X_444,join(X_445,X)),Z)),
    introduced(tautology,[refl,[$fot(join(X,join(join(X_444,join(X_445,X)),Z)))]]) ).

cnf(refute_0_290,plain,
    ( join(X,join(join(X_444,join(X_445,X)),Z)) != join(X,join(join(X_444,join(X_445,X)),Z))
    | join(join(X_444,join(X_445,X)),Z) != join(X_444,join(X_445,join(X,Z)))
    | join(X,join(join(X_444,join(X_445,X)),Z)) = join(X,join(X_444,join(X_445,join(X,Z)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(join(X_444,join(X_445,X)),Z)),join(X,join(join(X_444,join(X_445,X)),Z))) ),[1,1],$fot(join(X_444,join(X_445,join(X,Z))))]]) ).

cnf(refute_0_291,plain,
    ( join(join(X_444,join(X_445,X)),Z) != join(X_444,join(X_445,join(X,Z)))
    | join(X,join(join(X_444,join(X_445,X)),Z)) = join(X,join(X_444,join(X_445,join(X,Z)))) ),
    inference(resolve,[$cnf( $equal(join(X,join(join(X_444,join(X_445,X)),Z)),join(X,join(join(X_444,join(X_445,X)),Z))) )],[refute_0_289,refute_0_290]) ).

cnf(refute_0_292,plain,
    join(X,join(join(X_444,join(X_445,X)),Z)) = join(X,join(X_444,join(X_445,join(X,Z)))),
    inference(resolve,[$cnf( $equal(join(join(X_444,join(X_445,X)),Z),join(X_444,join(X_445,join(X,Z)))) )],[refute_0_288,refute_0_291]) ).

cnf(refute_0_293,plain,
    ( join(X,join(X_444,join(X_445,join(X,Z)))) != join(X_444,join(X_445,join(X,Z)))
    | join(X,join(join(X_444,join(X_445,X)),Z)) != join(X,join(X_444,join(X_445,join(X,Z))))
    | join(X,join(join(X_444,join(X_445,X)),Z)) = join(X_444,join(X_445,join(X,Z))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X,join(join(X_444,join(X_445,X)),Z)))),bind(Y0,$fot(join(X,join(X_444,join(X_445,join(X,Z)))))),bind(Z0,$fot(join(X_444,join(X_445,join(X,Z)))))]]) ).

cnf(refute_0_294,plain,
    ( join(X,join(X_444,join(X_445,join(X,Z)))) != join(X_444,join(X_445,join(X,Z)))
    | join(X,join(join(X_444,join(X_445,X)),Z)) = join(X_444,join(X_445,join(X,Z))) ),
    inference(resolve,[$cnf( $equal(join(X,join(join(X_444,join(X_445,X)),Z)),join(X,join(X_444,join(X_445,join(X,Z))))) )],[refute_0_292,refute_0_293]) ).

cnf(refute_0_295,plain,
    join(X,join(join(X_444,join(X_445,X)),Z)) = join(X_444,join(X_445,join(X,Z))),
    inference(resolve,[$cnf( $equal(join(X,join(X_444,join(X_445,join(X,Z)))),join(X_444,join(X_445,join(X,Z)))) )],[refute_0_279,refute_0_294]) ).

cnf(refute_0_296,plain,
    ( join(X,join(X_444,join(X_445,Z))) != join(X,join(join(X_444,join(X_445,X)),Z))
    | join(X,join(join(X_444,join(X_445,X)),Z)) != join(X_444,join(X_445,join(X,Z)))
    | join(X,join(X_444,join(X_445,Z))) = join(X_444,join(X_445,join(X,Z))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X,join(X_444,join(X_445,Z))),join(X_444,join(X_445,join(X,Z)))) ),[0],$fot(join(X,join(join(X_444,join(X_445,X)),Z)))]]) ).

cnf(refute_0_297,plain,
    ( join(X,join(X_444,join(X_445,Z))) != join(X,join(join(X_444,join(X_445,X)),Z))
    | join(X,join(X_444,join(X_445,Z))) = join(X_444,join(X_445,join(X,Z))) ),
    inference(resolve,[$cnf( $equal(join(X,join(join(X_444,join(X_445,X)),Z)),join(X_444,join(X_445,join(X,Z)))) )],[refute_0_295,refute_0_296]) ).

cnf(refute_0_298,plain,
    ( join(join(X,join(X_444,X_445)),Z) != join(X,join(join(X_444,join(X_445,X)),Z))
    | join(X,join(X_444,join(X_445,Z))) = join(X_444,join(X_445,join(X,Z))) ),
    inference(resolve,[$cnf( $equal(join(X,join(X_444,join(X_445,Z))),join(X,join(join(X_444,join(X_445,X)),Z))) )],[refute_0_233,refute_0_297]) ).

cnf(refute_0_299,plain,
    join(X,join(X_444,join(X_445,Z))) = join(X_444,join(X_445,join(X,Z))),
    inference(resolve,[$cnf( $equal(join(join(X,join(X_444,X_445)),Z),join(X,join(join(X_444,join(X_445,X)),Z))) )],[refute_0_222,refute_0_298]) ).

cnf(refute_0_300,plain,
    ( join(X,join(X_444,join(X_445,Z))) != join(X_444,join(X_445,join(X,Z)))
    | join(X_444,join(X_445,join(X,Z))) = join(X,join(X_444,join(X_445,Z))) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X,join(X_444,join(X_445,Z))))),bind(Y0,$fot(join(X_444,join(X_445,join(X,Z)))))]]) ).

cnf(refute_0_301,plain,
    join(X_444,join(X_445,join(X,Z))) = join(X,join(X_444,join(X_445,Z))),
    inference(resolve,[$cnf( $equal(join(X,join(X_444,join(X_445,Z))),join(X_444,join(X_445,join(X,Z)))) )],[refute_0_299,refute_0_300]) ).

cnf(refute_0_302,plain,
    join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) = join(X_445,join(join(meet(X_445,Y),X_70),join(X_444,X_70))),
    inference(subst,[],[refute_0_301:[bind(X,$fot(X_445)),bind(Z,$fot(X_70)),bind(X_444,$fot(join(meet(X_445,Y),X_70))),bind(X_445,$fot(X_444))]]) ).

cnf(refute_0_303,plain,
    ( join(X_445,join(join(meet(X_445,Y),X_70),join(X_444,X_70))) != join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444)))
    | join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) != join(X_445,join(join(meet(X_445,Y),X_70),join(X_444,X_70)))
    | join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) = join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))))),bind(Y0,$fot(join(X_445,join(join(meet(X_445,Y),X_70),join(X_444,X_70))))),bind(Z0,$fot(join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444)))))]]) ).

cnf(refute_0_304,plain,
    ( join(X_445,join(join(meet(X_445,Y),X_70),join(X_444,X_70))) != join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444)))
    | join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) = join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) ),
    inference(resolve,[$cnf( $equal(join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))),join(X_445,join(join(meet(X_445,Y),X_70),join(X_444,X_70)))) )],[refute_0_302,refute_0_303]) ).

cnf(refute_0_305,plain,
    join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) = join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))),
    inference(resolve,[$cnf( $equal(join(X_445,join(join(meet(X_445,Y),X_70),join(X_444,X_70))),join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444)))) )],[refute_0_217,refute_0_304]) ).

cnf(refute_0_306,plain,
    ( join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) != join(X_70,join(X_445,X_444))
    | join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) != join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444)))
    | join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) = join(X_70,join(X_445,X_444)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))))),bind(Y0,$fot(join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))))),bind(Z0,$fot(join(X_70,join(X_445,X_444))))]]) ).

cnf(refute_0_307,plain,
    ( join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))) != join(X_70,join(X_445,X_444))
    | join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) = join(X_70,join(X_445,X_444)) ),
    inference(resolve,[$cnf( $equal(join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))),join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444)))) )],[refute_0_305,refute_0_306]) ).

cnf(refute_0_308,plain,
    join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) = join(X_70,join(X_445,X_444)),
    inference(resolve,[$cnf( $equal(join(X_445,join(X_70,join(join(meet(X_445,Y),X_70),X_444))),join(X_70,join(X_445,X_444))) )],[refute_0_171,refute_0_307]) ).

cnf(refute_0_309,plain,
    ( join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) != join(X_70,join(X_445,X_444))
    | join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) != join(join(meet(X_445,Y),X_70),join(X_444,X_445))
    | join(X_70,join(X_445,X_444)) = join(join(meet(X_445,Y),X_70),join(X_444,X_445)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))),join(join(meet(X_445,Y),X_70),join(X_444,X_445))) ),[0],$fot(join(X_70,join(X_445,X_444)))]]) ).

cnf(refute_0_310,plain,
    ( join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) != join(join(meet(X_445,Y),X_70),join(X_444,X_445))
    | join(X_70,join(X_445,X_444)) = join(join(meet(X_445,Y),X_70),join(X_444,X_445)) ),
    inference(resolve,[$cnf( $equal(join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))),join(X_70,join(X_445,X_444))) )],[refute_0_308,refute_0_309]) ).

cnf(refute_0_311,plain,
    join(X_445,join(X_444,join(meet(X_445,Y),X_70))) = join(X_444,join(X_445,X_70)),
    inference(subst,[],[refute_0_135:[bind(X_260,$fot(Y)),bind(X_262,$fot(X_70)),bind(X_68,$fot(X_444)),bind(X_69,$fot(X_445))]]) ).

cnf(refute_0_312,plain,
    join(join(X_322,X_324),Y) = join(Y,join(X_322,X_324)),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(join(X_322,X_324)))]]) ).

cnf(refute_0_313,plain,
    join(Y,join(X_322,X_324)) = join(Y,join(X_324,X_322)),
    inference(subst,[],[refute_0_211:[bind(Y,$fot(X_322)),bind(X_159,$fot(Y)),bind(X_160,$fot(X_324))]]) ).

cnf(refute_0_314,plain,
    ( join(Y,join(X_322,X_324)) != join(Y,join(X_324,X_322))
    | join(join(X_322,X_324),Y) != join(Y,join(X_322,X_324))
    | join(join(X_322,X_324),Y) = join(Y,join(X_324,X_322)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_322,X_324),Y),join(Y,join(X_322,X_324))) ),[1],$fot(join(Y,join(X_324,X_322)))]]) ).

cnf(refute_0_315,plain,
    ( join(join(X_322,X_324),Y) != join(Y,join(X_322,X_324))
    | join(join(X_322,X_324),Y) = join(Y,join(X_324,X_322)) ),
    inference(resolve,[$cnf( $equal(join(Y,join(X_322,X_324)),join(Y,join(X_324,X_322))) )],[refute_0_313,refute_0_314]) ).

cnf(refute_0_316,plain,
    join(join(X_322,X_324),Y) = join(Y,join(X_324,X_322)),
    inference(resolve,[$cnf( $equal(join(join(X_322,X_324),Y),join(Y,join(X_322,X_324))) )],[refute_0_312,refute_0_315]) ).

cnf(refute_0_317,plain,
    join(join(X_322,X_324),Y) = join(X_322,join(X_324,Y)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_322)),bind(Y,$fot(X_324)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_318,plain,
    ( join(join(X_322,X_324),Y) != join(Y,join(X_324,X_322))
    | join(join(X_322,X_324),Y) != join(X_322,join(X_324,Y))
    | join(X_322,join(X_324,Y)) = join(Y,join(X_324,X_322)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_322,X_324),Y),join(Y,join(X_324,X_322))) ),[0],$fot(join(X_322,join(X_324,Y)))]]) ).

cnf(refute_0_319,plain,
    ( join(join(X_322,X_324),Y) != join(Y,join(X_324,X_322))
    | join(X_322,join(X_324,Y)) = join(Y,join(X_324,X_322)) ),
    inference(resolve,[$cnf( $equal(join(join(X_322,X_324),Y),join(X_322,join(X_324,Y))) )],[refute_0_317,refute_0_318]) ).

cnf(refute_0_320,plain,
    join(X_322,join(X_324,Y)) = join(Y,join(X_324,X_322)),
    inference(resolve,[$cnf( $equal(join(join(X_322,X_324),Y),join(Y,join(X_324,X_322))) )],[refute_0_316,refute_0_319]) ).

cnf(refute_0_321,plain,
    ( join(X_322,join(X_324,Y)) != join(Y,join(X_324,X_322))
    | join(Y,join(X_324,X_322)) = join(X_322,join(X_324,Y)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_322,join(X_324,Y)))),bind(Y0,$fot(join(Y,join(X_324,X_322))))]]) ).

cnf(refute_0_322,plain,
    join(Y,join(X_324,X_322)) = join(X_322,join(X_324,Y)),
    inference(resolve,[$cnf( $equal(join(X_322,join(X_324,Y)),join(Y,join(X_324,X_322))) )],[refute_0_320,refute_0_321]) ).

cnf(refute_0_323,plain,
    join(join(meet(X_445,Y),X_70),join(X_444,X_445)) = join(X_445,join(X_444,join(meet(X_445,Y),X_70))),
    inference(subst,[],[refute_0_322:[bind(Y,$fot(join(meet(X_445,Y),X_70))),bind(X_322,$fot(X_445)),bind(X_324,$fot(X_444))]]) ).

cnf(refute_0_324,plain,
    ( join(X_445,join(X_444,join(meet(X_445,Y),X_70))) != join(X_444,join(X_445,X_70))
    | join(join(meet(X_445,Y),X_70),join(X_444,X_445)) != join(X_445,join(X_444,join(meet(X_445,Y),X_70)))
    | join(join(meet(X_445,Y),X_70),join(X_444,X_445)) = join(X_444,join(X_445,X_70)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(join(meet(X_445,Y),X_70),join(X_444,X_445)))),bind(Y0,$fot(join(X_445,join(X_444,join(meet(X_445,Y),X_70))))),bind(Z0,$fot(join(X_444,join(X_445,X_70))))]]) ).

cnf(refute_0_325,plain,
    ( join(X_445,join(X_444,join(meet(X_445,Y),X_70))) != join(X_444,join(X_445,X_70))
    | join(join(meet(X_445,Y),X_70),join(X_444,X_445)) = join(X_444,join(X_445,X_70)) ),
    inference(resolve,[$cnf( $equal(join(join(meet(X_445,Y),X_70),join(X_444,X_445)),join(X_445,join(X_444,join(meet(X_445,Y),X_70)))) )],[refute_0_323,refute_0_324]) ).

cnf(refute_0_326,plain,
    join(join(meet(X_445,Y),X_70),join(X_444,X_445)) = join(X_444,join(X_445,X_70)),
    inference(resolve,[$cnf( $equal(join(X_445,join(X_444,join(meet(X_445,Y),X_70))),join(X_444,join(X_445,X_70))) )],[refute_0_311,refute_0_325]) ).

cnf(refute_0_327,plain,
    ( join(X_70,join(X_445,X_444)) != join(join(meet(X_445,Y),X_70),join(X_444,X_445))
    | join(join(meet(X_445,Y),X_70),join(X_444,X_445)) != join(X_444,join(X_445,X_70))
    | join(X_70,join(X_445,X_444)) = join(X_444,join(X_445,X_70)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_70,join(X_445,X_444)),join(X_444,join(X_445,X_70))) ),[0],$fot(join(join(meet(X_445,Y),X_70),join(X_444,X_445)))]]) ).

cnf(refute_0_328,plain,
    ( join(X_70,join(X_445,X_444)) != join(join(meet(X_445,Y),X_70),join(X_444,X_445))
    | join(X_70,join(X_445,X_444)) = join(X_444,join(X_445,X_70)) ),
    inference(resolve,[$cnf( $equal(join(join(meet(X_445,Y),X_70),join(X_444,X_445)),join(X_444,join(X_445,X_70))) )],[refute_0_326,refute_0_327]) ).

cnf(refute_0_329,plain,
    ( join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))) != join(join(meet(X_445,Y),X_70),join(X_444,X_445))
    | join(X_70,join(X_445,X_444)) = join(X_444,join(X_445,X_70)) ),
    inference(resolve,[$cnf( $equal(join(X_70,join(X_445,X_444)),join(join(meet(X_445,Y),X_70),join(X_444,X_445))) )],[refute_0_310,refute_0_328]) ).

cnf(refute_0_330,plain,
    join(X_70,join(X_445,X_444)) = join(X_444,join(X_445,X_70)),
    inference(resolve,[$cnf( $equal(join(join(meet(X_445,Y),X_70),join(X_444,join(X_445,X_70))),join(join(meet(X_445,Y),X_70),join(X_444,X_445))) )],[refute_0_110,refute_0_329]) ).

cnf(refute_0_331,plain,
    join(X_549,join(X_548,meet(X_96,meet(X_97,X_548)))) = join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)),
    inference(subst,[],[refute_0_330:[bind(X_444,$fot(meet(X_96,meet(X_97,X_548)))),bind(X_445,$fot(X_548)),bind(X_70,$fot(X_549))]]) ).

cnf(refute_0_332,plain,
    join(X,meet(meet(X_96,X_97),X)) = X,
    inference(subst,[],[refute_0_64:[bind(Y,$fot(meet(X_96,X_97)))]]) ).

cnf(refute_0_333,plain,
    meet(meet(X_96,X_97),X) = meet(X_96,meet(X_97,X)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(X_97)),bind(Z,$fot(X))]]) ).

cnf(refute_0_334,plain,
    ( join(X,meet(meet(X_96,X_97),X)) != X
    | meet(meet(X_96,X_97),X) != meet(X_96,meet(X_97,X))
    | join(X,meet(X_96,meet(X_97,X))) = X ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,meet(meet(X_96,X_97),X)),X) ),[0,1],$fot(meet(X_96,meet(X_97,X)))]]) ).

cnf(refute_0_335,plain,
    ( join(X,meet(meet(X_96,X_97),X)) != X
    | join(X,meet(X_96,meet(X_97,X))) = X ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,X_97),X),meet(X_96,meet(X_97,X))) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    join(X,meet(X_96,meet(X_97,X))) = X,
    inference(resolve,[$cnf( $equal(join(X,meet(meet(X_96,X_97),X)),X) )],[refute_0_332,refute_0_335]) ).

cnf(refute_0_337,plain,
    join(X_548,meet(X_96,meet(X_97,X_548))) = X_548,
    inference(subst,[],[refute_0_336:[bind(X,$fot(X_548))]]) ).

cnf(refute_0_338,plain,
    ( join(X_548,meet(X_96,meet(X_97,X_548))) != X_548
    | join(X_549,join(X_548,meet(X_96,meet(X_97,X_548)))) != join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549))
    | join(X_549,X_548) = join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_549,join(X_548,meet(X_96,meet(X_97,X_548)))),join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549))) ),[0,1],$fot(X_548)]]) ).

cnf(refute_0_339,plain,
    ( join(X_549,join(X_548,meet(X_96,meet(X_97,X_548)))) != join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549))
    | join(X_549,X_548) = join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)) ),
    inference(resolve,[$cnf( $equal(join(X_548,meet(X_96,meet(X_97,X_548))),X_548) )],[refute_0_337,refute_0_338]) ).

cnf(refute_0_340,plain,
    join(X_549,X_548) = join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)),
    inference(resolve,[$cnf( $equal(join(X_549,join(X_548,meet(X_96,meet(X_97,X_548)))),join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549))) )],[refute_0_331,refute_0_339]) ).

cnf(refute_0_341,plain,
    meet(meet(X_97,X_548),X_96) = meet(X_97,meet(X_548,X_96)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_97)),bind(Y,$fot(X_548)),bind(Z,$fot(X_96))]]) ).

cnf(refute_0_342,plain,
    join(X_549,meet(meet(X_97,X_548),X_96)) = join(X_549,meet(meet(X_97,X_548),X_96)),
    introduced(tautology,[refl,[$fot(join(X_549,meet(meet(X_97,X_548),X_96)))]]) ).

cnf(refute_0_343,plain,
    ( join(X_549,meet(meet(X_97,X_548),X_96)) != join(X_549,meet(meet(X_97,X_548),X_96))
    | meet(meet(X_97,X_548),X_96) != meet(X_97,meet(X_548,X_96))
    | join(X_549,meet(meet(X_97,X_548),X_96)) = join(X_549,meet(X_97,meet(X_548,X_96))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_549,meet(meet(X_97,X_548),X_96)),join(X_549,meet(meet(X_97,X_548),X_96))) ),[1,1],$fot(meet(X_97,meet(X_548,X_96)))]]) ).

cnf(refute_0_344,plain,
    ( meet(meet(X_97,X_548),X_96) != meet(X_97,meet(X_548,X_96))
    | join(X_549,meet(meet(X_97,X_548),X_96)) = join(X_549,meet(X_97,meet(X_548,X_96))) ),
    inference(resolve,[$cnf( $equal(join(X_549,meet(meet(X_97,X_548),X_96)),join(X_549,meet(meet(X_97,X_548),X_96))) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    join(X_549,meet(meet(X_97,X_548),X_96)) = join(X_549,meet(X_97,meet(X_548,X_96))),
    inference(resolve,[$cnf( $equal(meet(meet(X_97,X_548),X_96),meet(X_97,meet(X_548,X_96))) )],[refute_0_341,refute_0_344]) ).

cnf(refute_0_346,plain,
    join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))) = join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))),
    introduced(tautology,[refl,[$fot(join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))))]]) ).

cnf(refute_0_347,plain,
    ( join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))) != join(X_548,join(X_549,meet(meet(X_97,X_548),X_96)))
    | join(X_549,meet(meet(X_97,X_548),X_96)) != join(X_549,meet(X_97,meet(X_548,X_96)))
    | join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))) = join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))),join(X_548,join(X_549,meet(meet(X_97,X_548),X_96)))) ),[1,1],$fot(join(X_549,meet(X_97,meet(X_548,X_96))))]]) ).

cnf(refute_0_348,plain,
    ( join(X_549,meet(meet(X_97,X_548),X_96)) != join(X_549,meet(X_97,meet(X_548,X_96)))
    | join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))) = join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))) ),
    inference(resolve,[$cnf( $equal(join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))),join(X_548,join(X_549,meet(meet(X_97,X_548),X_96)))) )],[refute_0_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))) = join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))),
    inference(resolve,[$cnf( $equal(join(X_549,meet(meet(X_97,X_548),X_96)),join(X_549,meet(X_97,meet(X_548,X_96)))) )],[refute_0_345,refute_0_348]) ).

cnf(refute_0_350,plain,
    join(meet(X_475,X_476),join(X_68,X_69)) = join(X_68,join(X_69,meet(X_475,X_476))),
    inference(subst,[],[refute_0_115:[bind(X,$fot(meet(X_475,X_476)))]]) ).

cnf(refute_0_351,plain,
    ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))) = join(X_165,meet(X_166,X_167)),
    inference(subst,[],[modular:[bind(X,$fot(X_165)),bind(Y,$fot(X_166)),bind(Z,$fot(X_167))]]) ).

cnf(refute_0_352,plain,
    meet(X_167,X_166) = meet(X_166,X_167),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_167)),bind(Y,$fot(X_166))]]) ).

cnf(refute_0_353,plain,
    ( meet(X_167,X_166) != meet(X_166,X_167)
    | meet(X_166,X_167) = meet(X_167,X_166) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_167,X_166))),bind(Y0,$fot(meet(X_166,X_167)))]]) ).

cnf(refute_0_354,plain,
    meet(X_166,X_167) = meet(X_167,X_166),
    inference(resolve,[$cnf( $equal(meet(X_167,X_166),meet(X_166,X_167)) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    ( ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))) != join(X_165,meet(X_166,X_167))
    | meet(X_166,X_167) != meet(X_167,X_166)
    | ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))) = join(X_165,meet(X_167,X_166)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))),join(X_165,meet(X_166,X_167))) ),[1,1],$fot(meet(X_167,X_166))]]) ).

cnf(refute_0_356,plain,
    ( ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))) != join(X_165,meet(X_166,X_167))
    | ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))) = join(X_165,meet(X_167,X_166)) ),
    inference(resolve,[$cnf( $equal(meet(X_166,X_167),meet(X_167,X_166)) )],[refute_0_354,refute_0_355]) ).

cnf(refute_0_357,plain,
    ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))) = join(X_165,meet(X_167,X_166)),
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))),join(X_165,meet(X_166,X_167))) )],[refute_0_351,refute_0_356]) ).

cnf(refute_0_358,plain,
    ( ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))) != join(X_165,meet(X_166,X_167))
    | ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))) != join(X_165,meet(X_167,X_166))
    | join(X_165,meet(X_166,X_167)) = join(X_165,meet(X_167,X_166)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))),join(X_165,meet(X_167,X_166))) ),[0],$fot(join(X_165,meet(X_166,X_167)))]]) ).

cnf(refute_0_359,plain,
    ( ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))) != join(X_165,meet(X_167,X_166))
    | join(X_165,meet(X_166,X_167)) = join(X_165,meet(X_167,X_166)) ),
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))),join(X_165,meet(X_166,X_167))) )],[refute_0_351,refute_0_358]) ).

cnf(refute_0_360,plain,
    join(X_165,meet(X_166,X_167)) = join(X_165,meet(X_167,X_166)),
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_165,X_167),X_165,meet(X_167,join(X_165,X_166)),join(X_165,meet(X_166,X_167))),join(X_165,meet(X_167,X_166))) )],[refute_0_357,refute_0_359]) ).

cnf(refute_0_361,plain,
    join(X_69,meet(X_475,X_476)) = join(X_69,meet(X_476,X_475)),
    inference(subst,[],[refute_0_360:[bind(X_165,$fot(X_69)),bind(X_166,$fot(X_475)),bind(X_167,$fot(X_476))]]) ).

cnf(refute_0_362,plain,
    ( join(X_69,meet(X_475,X_476)) != join(X_69,meet(X_476,X_475))
    | join(meet(X_475,X_476),join(X_68,X_69)) != join(X_68,join(X_69,meet(X_475,X_476)))
    | join(meet(X_475,X_476),join(X_68,X_69)) = join(X_68,join(X_69,meet(X_476,X_475))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_475,X_476),join(X_68,X_69)),join(X_68,join(X_69,meet(X_475,X_476)))) ),[1,1],$fot(join(X_69,meet(X_476,X_475)))]]) ).

cnf(refute_0_363,plain,
    ( join(meet(X_475,X_476),join(X_68,X_69)) != join(X_68,join(X_69,meet(X_475,X_476)))
    | join(meet(X_475,X_476),join(X_68,X_69)) = join(X_68,join(X_69,meet(X_476,X_475))) ),
    inference(resolve,[$cnf( $equal(join(X_69,meet(X_475,X_476)),join(X_69,meet(X_476,X_475))) )],[refute_0_361,refute_0_362]) ).

cnf(refute_0_364,plain,
    join(meet(X_475,X_476),join(X_68,X_69)) = join(X_68,join(X_69,meet(X_476,X_475))),
    inference(resolve,[$cnf( $equal(join(meet(X_475,X_476),join(X_68,X_69)),join(X_68,join(X_69,meet(X_475,X_476)))) )],[refute_0_350,refute_0_363]) ).

cnf(refute_0_365,plain,
    join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)) = join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))),
    inference(subst,[],[refute_0_364:[bind(X_475,$fot(X_96)),bind(X_476,$fot(meet(X_97,X_548))),bind(X_68,$fot(X_548)),bind(X_69,$fot(X_549))]]) ).

cnf(refute_0_366,plain,
    ( join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))) != join(X_548,join(X_549,meet(X_97,meet(X_548,X_96))))
    | join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)) != join(X_548,join(X_549,meet(meet(X_97,X_548),X_96)))
    | join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)) = join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)))),bind(Y0,$fot(join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))))),bind(Z0,$fot(join(X_548,join(X_549,meet(X_97,meet(X_548,X_96))))))]]) ).

cnf(refute_0_367,plain,
    ( join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))) != join(X_548,join(X_549,meet(X_97,meet(X_548,X_96))))
    | join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)) = join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)),join(X_548,join(X_549,meet(meet(X_97,X_548),X_96)))) )],[refute_0_365,refute_0_366]) ).

cnf(refute_0_368,plain,
    join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)) = join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))),
    inference(resolve,[$cnf( $equal(join(X_548,join(X_549,meet(meet(X_97,X_548),X_96))),join(X_548,join(X_549,meet(X_97,meet(X_548,X_96))))) )],[refute_0_349,refute_0_367]) ).

cnf(refute_0_369,plain,
    ( join(X_549,X_548) != join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549))
    | join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)) != join(X_548,join(X_549,meet(X_97,meet(X_548,X_96))))
    | join(X_549,X_548) = join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_549,X_548),join(X_548,join(X_549,meet(X_97,meet(X_548,X_96))))) ),[0],$fot(join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)))]]) ).

cnf(refute_0_370,plain,
    ( join(X_549,X_548) != join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549))
    | join(X_549,X_548) = join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549)),join(X_548,join(X_549,meet(X_97,meet(X_548,X_96))))) )],[refute_0_368,refute_0_369]) ).

cnf(refute_0_371,plain,
    join(X_549,X_548) = join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))),
    inference(resolve,[$cnf( $equal(join(X_549,X_548),join(meet(X_96,meet(X_97,X_548)),join(X_548,X_549))) )],[refute_0_340,refute_0_370]) ).

cnf(refute_0_372,plain,
    ( join(X_549,X_548) != join(X_548,join(X_549,meet(X_97,meet(X_548,X_96))))
    | join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))) = join(X_549,X_548) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_549,X_548))),bind(Y0,$fot(join(X_548,join(X_549,meet(X_97,meet(X_548,X_96))))))]]) ).

cnf(refute_0_373,plain,
    join(X_548,join(X_549,meet(X_97,meet(X_548,X_96)))) = join(X_549,X_548),
    inference(resolve,[$cnf( $equal(join(X_549,X_548),join(X_548,join(X_549,meet(X_97,meet(X_548,X_96))))) )],[refute_0_371,refute_0_372]) ).

cnf(refute_0_374,plain,
    join(X_68,join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))) = join(X_442,X_68),
    inference(subst,[],[refute_0_373:[bind(X_548,$fot(X_68)),bind(X_549,$fot(X_442)),bind(X_96,$fot(join(X_442,X_440))),bind(X_97,$fot(Y))]]) ).

cnf(refute_0_375,plain,
    meet(meet(Y,X_68),join(X_442,X_440)) = meet(Y,meet(X_68,join(X_442,X_440))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(Y)),bind(Y,$fot(X_68)),bind(Z,$fot(join(X_442,X_440)))]]) ).

cnf(refute_0_376,plain,
    join(X_442,meet(meet(Y,X_68),join(X_442,X_440))) = join(X_442,meet(meet(Y,X_68),join(X_442,X_440))),
    introduced(tautology,[refl,[$fot(join(X_442,meet(meet(Y,X_68),join(X_442,X_440))))]]) ).

cnf(refute_0_377,plain,
    ( join(X_442,meet(meet(Y,X_68),join(X_442,X_440))) != join(X_442,meet(meet(Y,X_68),join(X_442,X_440)))
    | meet(meet(Y,X_68),join(X_442,X_440)) != meet(Y,meet(X_68,join(X_442,X_440)))
    | join(X_442,meet(meet(Y,X_68),join(X_442,X_440))) = join(X_442,meet(Y,meet(X_68,join(X_442,X_440)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_442,meet(meet(Y,X_68),join(X_442,X_440))),join(X_442,meet(meet(Y,X_68),join(X_442,X_440)))) ),[1,1],$fot(meet(Y,meet(X_68,join(X_442,X_440))))]]) ).

cnf(refute_0_378,plain,
    ( meet(meet(Y,X_68),join(X_442,X_440)) != meet(Y,meet(X_68,join(X_442,X_440)))
    | join(X_442,meet(meet(Y,X_68),join(X_442,X_440))) = join(X_442,meet(Y,meet(X_68,join(X_442,X_440)))) ),
    inference(resolve,[$cnf( $equal(join(X_442,meet(meet(Y,X_68),join(X_442,X_440))),join(X_442,meet(meet(Y,X_68),join(X_442,X_440)))) )],[refute_0_376,refute_0_377]) ).

cnf(refute_0_379,plain,
    join(X_442,meet(meet(Y,X_68),join(X_442,X_440))) = join(X_442,meet(Y,meet(X_68,join(X_442,X_440)))),
    inference(resolve,[$cnf( $equal(meet(meet(Y,X_68),join(X_442,X_440)),meet(Y,meet(X_68,join(X_442,X_440)))) )],[refute_0_375,refute_0_378]) ).

cnf(refute_0_380,plain,
    meet(join(X_681,X_680),join(X_681,X_682)) = join(X_681,meet(X_682,join(X_681,X_680))),
    inference(subst,[],[refute_0_48:[bind(Y,$fot(X_680)),bind(X_165,$fot(X_681)),bind(X_166,$fot(X_682))]]) ).

cnf(refute_0_381,plain,
    join(X_682,X_681) = join(X_681,X_682),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_682)),bind(Y,$fot(X_681))]]) ).

cnf(refute_0_382,plain,
    ( join(X_682,X_681) != join(X_681,X_682)
    | join(X_681,X_682) = join(X_682,X_681) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_682,X_681))),bind(Y0,$fot(join(X_681,X_682)))]]) ).

cnf(refute_0_383,plain,
    join(X_681,X_682) = join(X_682,X_681),
    inference(resolve,[$cnf( $equal(join(X_682,X_681),join(X_681,X_682)) )],[refute_0_381,refute_0_382]) ).

cnf(refute_0_384,plain,
    ( join(X_681,X_682) != join(X_682,X_681)
    | meet(join(X_681,X_680),join(X_681,X_682)) != join(X_681,meet(X_682,join(X_681,X_680)))
    | meet(join(X_681,X_680),join(X_682,X_681)) = join(X_681,meet(X_682,join(X_681,X_680))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_681,X_680),join(X_681,X_682)),join(X_681,meet(X_682,join(X_681,X_680)))) ),[0,1],$fot(join(X_682,X_681))]]) ).

cnf(refute_0_385,plain,
    ( meet(join(X_681,X_680),join(X_681,X_682)) != join(X_681,meet(X_682,join(X_681,X_680)))
    | meet(join(X_681,X_680),join(X_682,X_681)) = join(X_681,meet(X_682,join(X_681,X_680))) ),
    inference(resolve,[$cnf( $equal(join(X_681,X_682),join(X_682,X_681)) )],[refute_0_383,refute_0_384]) ).

cnf(refute_0_386,plain,
    meet(join(X_681,X_680),join(X_682,X_681)) = join(X_681,meet(X_682,join(X_681,X_680))),
    inference(resolve,[$cnf( $equal(meet(join(X_681,X_680),join(X_681,X_682)),join(X_681,meet(X_682,join(X_681,X_680)))) )],[refute_0_380,refute_0_385]) ).

cnf(refute_0_387,plain,
    join(meet(X_66,Y),meet(Y,meet(X_66,Y))) = meet(X_66,Y),
    inference(subst,[],[refute_0_64:[bind(X,$fot(meet(X_66,Y)))]]) ).

cnf(refute_0_388,plain,
    meet(meet(X_44,Y),join(X_44,meet(X_44,Y))) = meet(X_44,Y),
    inference(subst,[],[refute_0_175:[bind(X,$fot(meet(X_44,Y))),bind(Y,$fot(X_44))]]) ).

cnf(refute_0_389,plain,
    join(X_44,meet(X_44,Y)) = X_44,
    inference(subst,[],[absorption2:[bind(X,$fot(X_44))]]) ).

cnf(refute_0_390,plain,
    ( join(X_44,meet(X_44,Y)) != X_44
    | meet(meet(X_44,Y),join(X_44,meet(X_44,Y))) != meet(X_44,Y)
    | meet(meet(X_44,Y),X_44) = meet(X_44,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_44,Y),join(X_44,meet(X_44,Y))),meet(X_44,Y)) ),[0,1],$fot(X_44)]]) ).

cnf(refute_0_391,plain,
    ( meet(meet(X_44,Y),join(X_44,meet(X_44,Y))) != meet(X_44,Y)
    | meet(meet(X_44,Y),X_44) = meet(X_44,Y) ),
    inference(resolve,[$cnf( $equal(join(X_44,meet(X_44,Y)),X_44) )],[refute_0_389,refute_0_390]) ).

cnf(refute_0_392,plain,
    meet(meet(X_44,Y),X_44) = meet(X_44,Y),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,Y),join(X_44,meet(X_44,Y))),meet(X_44,Y)) )],[refute_0_388,refute_0_391]) ).

cnf(refute_0_393,plain,
    meet(meet(X_44,Y),X_44) = meet(X_44,meet(Y,X_44)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_44)),bind(Z,$fot(X_44))]]) ).

cnf(refute_0_394,plain,
    ( meet(meet(X_44,Y),X_44) != meet(X_44,Y)
    | meet(meet(X_44,Y),X_44) != meet(X_44,meet(Y,X_44))
    | meet(X_44,meet(Y,X_44)) = meet(X_44,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_44,Y),X_44),meet(X_44,Y)) ),[0],$fot(meet(X_44,meet(Y,X_44)))]]) ).

cnf(refute_0_395,plain,
    ( meet(meet(X_44,Y),X_44) != meet(X_44,Y)
    | meet(X_44,meet(Y,X_44)) = meet(X_44,Y) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,Y),X_44),meet(X_44,meet(Y,X_44))) )],[refute_0_393,refute_0_394]) ).

cnf(refute_0_396,plain,
    meet(X_44,meet(Y,X_44)) = meet(X_44,Y),
    inference(resolve,[$cnf( $equal(meet(meet(X_44,Y),X_44),meet(X_44,Y)) )],[refute_0_392,refute_0_395]) ).

cnf(refute_0_397,plain,
    meet(Y,meet(X_66,Y)) = meet(Y,X_66),
    inference(subst,[],[refute_0_396:[bind(Y,$fot(X_66)),bind(X_44,$fot(Y))]]) ).

cnf(refute_0_398,plain,
    ( join(meet(X_66,Y),meet(Y,meet(X_66,Y))) != meet(X_66,Y)
    | meet(Y,meet(X_66,Y)) != meet(Y,X_66)
    | join(meet(X_66,Y),meet(Y,X_66)) = meet(X_66,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_66,Y),meet(Y,meet(X_66,Y))),meet(X_66,Y)) ),[0,1],$fot(meet(Y,X_66))]]) ).

cnf(refute_0_399,plain,
    ( join(meet(X_66,Y),meet(Y,meet(X_66,Y))) != meet(X_66,Y)
    | join(meet(X_66,Y),meet(Y,X_66)) = meet(X_66,Y) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_66,Y)),meet(Y,X_66)) )],[refute_0_397,refute_0_398]) ).

cnf(refute_0_400,plain,
    join(meet(X_66,Y),meet(Y,X_66)) = meet(X_66,Y),
    inference(resolve,[$cnf( $equal(join(meet(X_66,Y),meet(Y,meet(X_66,Y))),meet(X_66,Y)) )],[refute_0_387,refute_0_399]) ).

cnf(refute_0_401,plain,
    join(meet(join(X_670,X_671),join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) = meet(join(X_670,X_671),join(X_669,X_670)),
    inference(subst,[],[refute_0_400:[bind(Y,$fot(join(X_669,X_670))),bind(X_66,$fot(join(X_670,X_671)))]]) ).

cnf(refute_0_402,plain,
    ifeq3(meet(X_165,join(Y,X_165)),X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))) = join(X_165,meet(X_166,join(Y,X_165))),
    inference(subst,[],[modular:[bind(X,$fot(X_165)),bind(Y,$fot(X_166)),bind(Z,$fot(join(Y,X_165)))]]) ).

cnf(refute_0_403,plain,
    meet(X_165,join(Y,X_165)) = X_165,
    inference(subst,[],[refute_0_175:[bind(X,$fot(X_165))]]) ).

cnf(refute_0_404,plain,
    ( ifeq3(meet(X_165,join(Y,X_165)),X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))) != join(X_165,meet(X_166,join(Y,X_165)))
    | meet(X_165,join(Y,X_165)) != X_165
    | ifeq3(X_165,X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))) = join(X_165,meet(X_166,join(Y,X_165))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(X_165,join(Y,X_165)),X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))),join(X_165,meet(X_166,join(Y,X_165)))) ),[0,0],$fot(X_165)]]) ).

cnf(refute_0_405,plain,
    ( ifeq3(meet(X_165,join(Y,X_165)),X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))) != join(X_165,meet(X_166,join(Y,X_165)))
    | ifeq3(X_165,X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))) = join(X_165,meet(X_166,join(Y,X_165))) ),
    inference(resolve,[$cnf( $equal(meet(X_165,join(Y,X_165)),X_165) )],[refute_0_403,refute_0_404]) ).

cnf(refute_0_406,plain,
    ifeq3(X_165,X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))) = join(X_165,meet(X_166,join(Y,X_165))),
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_165,join(Y,X_165)),X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))),join(X_165,meet(X_166,join(Y,X_165)))) )],[refute_0_402,refute_0_405]) ).

cnf(refute_0_407,plain,
    ifeq3(X_165,X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))) = meet(join(Y,X_165),join(X_165,X_166)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(X_165)),bind(B,$fot(meet(join(Y,X_165),join(X_165,X_166)))),bind(C,$fot(join(X_165,meet(X_166,join(Y,X_165)))))]]) ).

cnf(refute_0_408,plain,
    ( ifeq3(X_165,X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))) != join(X_165,meet(X_166,join(Y,X_165)))
    | ifeq3(X_165,X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))) != meet(join(Y,X_165),join(X_165,X_166))
    | meet(join(Y,X_165),join(X_165,X_166)) = join(X_165,meet(X_166,join(Y,X_165))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(X_165,X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))),join(X_165,meet(X_166,join(Y,X_165)))) ),[0],$fot(meet(join(Y,X_165),join(X_165,X_166)))]]) ).

cnf(refute_0_409,plain,
    ( ifeq3(X_165,X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))) != join(X_165,meet(X_166,join(Y,X_165)))
    | meet(join(Y,X_165),join(X_165,X_166)) = join(X_165,meet(X_166,join(Y,X_165))) ),
    inference(resolve,[$cnf( $equal(ifeq3(X_165,X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))),meet(join(Y,X_165),join(X_165,X_166))) )],[refute_0_407,refute_0_408]) ).

cnf(refute_0_410,plain,
    meet(join(Y,X_165),join(X_165,X_166)) = join(X_165,meet(X_166,join(Y,X_165))),
    inference(resolve,[$cnf( $equal(ifeq3(X_165,X_165,meet(join(Y,X_165),join(X_165,X_166)),join(X_165,meet(X_166,join(Y,X_165)))),join(X_165,meet(X_166,join(Y,X_165)))) )],[refute_0_406,refute_0_409]) ).

cnf(refute_0_411,plain,
    meet(join(X_669,X_670),join(X_670,X_671)) = join(X_670,meet(X_671,join(X_669,X_670))),
    inference(subst,[],[refute_0_410:[bind(Y,$fot(X_669)),bind(X_165,$fot(X_670)),bind(X_166,$fot(X_671))]]) ).

cnf(refute_0_412,plain,
    ( join(meet(join(X_670,X_671),join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) != meet(join(X_670,X_671),join(X_669,X_670))
    | meet(join(X_669,X_670),join(X_670,X_671)) != join(X_670,meet(X_671,join(X_669,X_670)))
    | join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = meet(join(X_670,X_671),join(X_669,X_670)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_670,X_671),join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))),meet(join(X_670,X_671),join(X_669,X_670))) ),[0,1],$fot(join(X_670,meet(X_671,join(X_669,X_670))))]]) ).

cnf(refute_0_413,plain,
    ( join(meet(join(X_670,X_671),join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) != meet(join(X_670,X_671),join(X_669,X_670))
    | join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = meet(join(X_670,X_671),join(X_669,X_670)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_669,X_670),join(X_670,X_671)),join(X_670,meet(X_671,join(X_669,X_670)))) )],[refute_0_411,refute_0_412]) ).

cnf(refute_0_414,plain,
    join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = meet(join(X_670,X_671),join(X_669,X_670)),
    inference(resolve,[$cnf( $equal(join(meet(join(X_670,X_671),join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))),meet(join(X_670,X_671),join(X_669,X_670))) )],[refute_0_401,refute_0_413]) ).

cnf(refute_0_415,plain,
    join(X_65,join(X_64,X_65)) = join(X_65,X_64),
    inference(subst,[],[refute_0_93:[bind(Y,$fot(X_64)),bind(X_63,$fot(X_65))]]) ).

cnf(refute_0_416,plain,
    join(X_65,X_64) = join(X_64,X_65),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_65)),bind(Y,$fot(X_64))]]) ).

cnf(refute_0_417,plain,
    ( join(X_65,X_64) != join(X_64,X_65)
    | join(X_64,X_65) = join(X_65,X_64) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_65,X_64))),bind(Y0,$fot(join(X_64,X_65)))]]) ).

cnf(refute_0_418,plain,
    join(X_64,X_65) = join(X_65,X_64),
    inference(resolve,[$cnf( $equal(join(X_65,X_64),join(X_64,X_65)) )],[refute_0_416,refute_0_417]) ).

cnf(refute_0_419,plain,
    ( join(X_64,X_65) != join(X_65,X_64)
    | join(X_65,join(X_64,X_65)) != join(X_65,X_64)
    | join(X_65,join(X_65,X_64)) = join(X_65,X_64) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_65,join(X_64,X_65)),join(X_65,X_64)) ),[0,1],$fot(join(X_65,X_64))]]) ).

cnf(refute_0_420,plain,
    ( join(X_65,join(X_64,X_65)) != join(X_65,X_64)
    | join(X_65,join(X_65,X_64)) = join(X_65,X_64) ),
    inference(resolve,[$cnf( $equal(join(X_64,X_65),join(X_65,X_64)) )],[refute_0_418,refute_0_419]) ).

cnf(refute_0_421,plain,
    join(X_65,join(X_65,X_64)) = join(X_65,X_64),
    inference(resolve,[$cnf( $equal(join(X_65,join(X_64,X_65)),join(X_65,X_64)) )],[refute_0_415,refute_0_420]) ).

cnf(refute_0_422,plain,
    join(X_670,join(X_670,meet(join(X_669,X_670),X_671))) = join(X_670,meet(join(X_669,X_670),X_671)),
    inference(subst,[],[refute_0_421:[bind(X_64,$fot(meet(join(X_669,X_670),X_671))),bind(X_65,$fot(X_670))]]) ).

cnf(refute_0_423,plain,
    join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670))) = meet(join(X_669,X_670),X_671),
    inference(subst,[],[refute_0_400:[bind(Y,$fot(X_671)),bind(X_66,$fot(join(X_669,X_670)))]]) ).

cnf(refute_0_424,plain,
    join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))) = join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))),
    introduced(tautology,[refl,[$fot(join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))))]]) ).

cnf(refute_0_425,plain,
    ( join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))) != join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670))))
    | join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670))) != meet(join(X_669,X_670),X_671)
    | join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))),join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670))))) ),[1,1],$fot(meet(join(X_669,X_670),X_671))]]) ).

cnf(refute_0_426,plain,
    ( join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670))) != meet(join(X_669,X_670),X_671)
    | join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    inference(resolve,[$cnf( $equal(join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))),join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670))))) )],[refute_0_424,refute_0_425]) ).

cnf(refute_0_427,plain,
    join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))) = join(X_670,meet(join(X_669,X_670),X_671)),
    inference(resolve,[$cnf( $equal(join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670))),meet(join(X_669,X_670),X_671)) )],[refute_0_423,refute_0_426]) ).

cnf(refute_0_428,plain,
    join(X,join(X_68,meet(X_475,X_476))) = join(X_68,join(meet(X_475,X_476),X)),
    inference(subst,[],[refute_0_115:[bind(X_69,$fot(meet(X_475,X_476)))]]) ).

cnf(refute_0_429,plain,
    join(X_68,meet(X_475,X_476)) = join(X_68,meet(X_476,X_475)),
    inference(subst,[],[refute_0_360:[bind(X_165,$fot(X_68)),bind(X_166,$fot(X_475)),bind(X_167,$fot(X_476))]]) ).

cnf(refute_0_430,plain,
    ( join(X,join(X_68,meet(X_475,X_476))) != join(X_68,join(meet(X_475,X_476),X))
    | join(X_68,meet(X_475,X_476)) != join(X_68,meet(X_476,X_475))
    | join(X,join(X_68,meet(X_476,X_475))) = join(X_68,join(meet(X_475,X_476),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(X_68,meet(X_475,X_476))),join(X_68,join(meet(X_475,X_476),X))) ),[0,1],$fot(join(X_68,meet(X_476,X_475)))]]) ).

cnf(refute_0_431,plain,
    ( join(X,join(X_68,meet(X_475,X_476))) != join(X_68,join(meet(X_475,X_476),X))
    | join(X,join(X_68,meet(X_476,X_475))) = join(X_68,join(meet(X_475,X_476),X)) ),
    inference(resolve,[$cnf( $equal(join(X_68,meet(X_475,X_476)),join(X_68,meet(X_476,X_475))) )],[refute_0_429,refute_0_430]) ).

cnf(refute_0_432,plain,
    join(X,join(X_68,meet(X_476,X_475))) = join(X_68,join(meet(X_475,X_476),X)),
    inference(resolve,[$cnf( $equal(join(X,join(X_68,meet(X_475,X_476))),join(X_68,join(meet(X_475,X_476),X))) )],[refute_0_428,refute_0_431]) ).

cnf(refute_0_433,plain,
    join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))),
    inference(subst,[],[refute_0_432:[bind(X,$fot(meet(X_671,join(X_669,X_670)))),bind(X_475,$fot(join(X_669,X_670))),bind(X_476,$fot(X_671)),bind(X_68,$fot(X_670))]]) ).

cnf(refute_0_434,plain,
    ( join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) != join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670))))
    | join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))))),bind(Y0,$fot(join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))))),bind(Z0,$fot(join(X_670,meet(join(X_669,X_670),X_671))))]]) ).

cnf(refute_0_435,plain,
    ( join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))),join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670))))) )],[refute_0_433,refute_0_434]) ).

cnf(refute_0_436,plain,
    join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(X_670,meet(join(X_669,X_670),X_671)),
    inference(resolve,[$cnf( $equal(join(X_670,join(meet(join(X_669,X_670),X_671),meet(X_671,join(X_669,X_670)))),join(X_670,meet(join(X_669,X_670),X_671))) )],[refute_0_427,refute_0_435]) ).

cnf(refute_0_437,plain,
    join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) = join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))),
    introduced(tautology,[refl,[$fot(join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))]]) ).

cnf(refute_0_438,plain,
    ( join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) != join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))
    | meet(join(X_669,X_670),join(X_670,X_671)) != join(X_670,meet(X_671,join(X_669,X_670)))
    | join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) = join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))),join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) ),[1,1],$fot(join(X_670,meet(X_671,join(X_669,X_670))))]]) ).

cnf(refute_0_439,plain,
    ( meet(join(X_669,X_670),join(X_670,X_671)) != join(X_670,meet(X_671,join(X_669,X_670)))
    | join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) = join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))),join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) )],[refute_0_437,refute_0_438]) ).

cnf(refute_0_440,plain,
    join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) = join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))),
    inference(resolve,[$cnf( $equal(meet(join(X_669,X_670),join(X_670,X_671)),join(X_670,meet(X_671,join(X_669,X_670)))) )],[refute_0_411,refute_0_439]) ).

cnf(refute_0_441,plain,
    ( join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) != join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670))))
    | join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))),bind(Y0,$fot(join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))))),bind(Z0,$fot(join(X_670,meet(join(X_669,X_670),X_671))))]]) ).

cnf(refute_0_442,plain,
    ( join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))),join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670))))) )],[refute_0_440,refute_0_441]) ).

cnf(refute_0_443,plain,
    join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) = join(X_670,meet(join(X_669,X_670),X_671)),
    inference(resolve,[$cnf( $equal(join(meet(X_671,join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))),join(X_670,meet(join(X_669,X_670),X_671))) )],[refute_0_436,refute_0_442]) ).

cnf(refute_0_444,plain,
    join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) = join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))),
    introduced(tautology,[refl,[$fot(join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))))]]) ).

cnf(refute_0_445,plain,
    ( join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) != join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))
    | join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) = join(X_670,join(X_670,meet(join(X_669,X_670),X_671))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))),join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))) ),[1,1],$fot(join(X_670,meet(join(X_669,X_670),X_671)))]]) ).

cnf(refute_0_446,plain,
    ( join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) = join(X_670,join(X_670,meet(join(X_669,X_670),X_671))) ),
    inference(resolve,[$cnf( $equal(join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))),join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))) )],[refute_0_444,refute_0_445]) ).

cnf(refute_0_447,plain,
    join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) = join(X_670,join(X_670,meet(join(X_669,X_670),X_671))),
    inference(resolve,[$cnf( $equal(join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))),join(X_670,meet(join(X_669,X_670),X_671))) )],[refute_0_443,refute_0_446]) ).

cnf(refute_0_448,plain,
    ( join(X_670,join(X_670,meet(join(X_669,X_670),X_671))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) != join(X_670,join(X_670,meet(join(X_669,X_670),X_671)))
    | join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))))),bind(Y0,$fot(join(X_670,join(X_670,meet(join(X_669,X_670),X_671))))),bind(Z0,$fot(join(X_670,meet(join(X_669,X_670),X_671))))]]) ).

cnf(refute_0_449,plain,
    ( join(X_670,join(X_670,meet(join(X_669,X_670),X_671))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    inference(resolve,[$cnf( $equal(join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))),join(X_670,join(X_670,meet(join(X_669,X_670),X_671)))) )],[refute_0_447,refute_0_448]) ).

cnf(refute_0_450,plain,
    join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) = join(X_670,meet(join(X_669,X_670),X_671)),
    inference(resolve,[$cnf( $equal(join(X_670,join(X_670,meet(join(X_669,X_670),X_671))),join(X_670,meet(join(X_669,X_670),X_671))) )],[refute_0_422,refute_0_449]) ).

cnf(refute_0_451,plain,
    join(X_159,join(meet(X_475,X_476),X_160)) = join(X_159,join(X_160,meet(X_475,X_476))),
    inference(subst,[],[refute_0_211:[bind(Y,$fot(meet(X_475,X_476)))]]) ).

cnf(refute_0_452,plain,
    join(X_160,meet(X_475,X_476)) = join(X_160,meet(X_476,X_475)),
    inference(subst,[],[refute_0_360:[bind(X_165,$fot(X_160)),bind(X_166,$fot(X_475)),bind(X_167,$fot(X_476))]]) ).

cnf(refute_0_453,plain,
    ( join(X_159,join(meet(X_475,X_476),X_160)) != join(X_159,join(X_160,meet(X_475,X_476)))
    | join(X_160,meet(X_475,X_476)) != join(X_160,meet(X_476,X_475))
    | join(X_159,join(meet(X_475,X_476),X_160)) = join(X_159,join(X_160,meet(X_476,X_475))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_159,join(meet(X_475,X_476),X_160)),join(X_159,join(X_160,meet(X_475,X_476)))) ),[1,1],$fot(join(X_160,meet(X_476,X_475)))]]) ).

cnf(refute_0_454,plain,
    ( join(X_159,join(meet(X_475,X_476),X_160)) != join(X_159,join(X_160,meet(X_475,X_476)))
    | join(X_159,join(meet(X_475,X_476),X_160)) = join(X_159,join(X_160,meet(X_476,X_475))) ),
    inference(resolve,[$cnf( $equal(join(X_160,meet(X_475,X_476)),join(X_160,meet(X_476,X_475))) )],[refute_0_452,refute_0_453]) ).

cnf(refute_0_455,plain,
    join(X_159,join(meet(X_475,X_476),X_160)) = join(X_159,join(X_160,meet(X_476,X_475))),
    inference(resolve,[$cnf( $equal(join(X_159,join(meet(X_475,X_476),X_160)),join(X_159,join(X_160,meet(X_475,X_476)))) )],[refute_0_451,refute_0_454]) ).

cnf(refute_0_456,plain,
    ( join(X_159,join(meet(X_475,X_476),X_160)) != join(X_159,join(X_160,meet(X_476,X_475)))
    | join(X_159,join(X_160,meet(X_476,X_475))) = join(X_159,join(meet(X_475,X_476),X_160)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_159,join(meet(X_475,X_476),X_160)))),bind(Y0,$fot(join(X_159,join(X_160,meet(X_476,X_475)))))]]) ).

cnf(refute_0_457,plain,
    join(X_159,join(X_160,meet(X_476,X_475))) = join(X_159,join(meet(X_475,X_476),X_160)),
    inference(resolve,[$cnf( $equal(join(X_159,join(meet(X_475,X_476),X_160)),join(X_159,join(X_160,meet(X_476,X_475)))) )],[refute_0_455,refute_0_456]) ).

cnf(refute_0_458,plain,
    join(X_670,join(meet(join(X_669,X_670),join(X_670,X_671)),meet(join(X_669,X_670),X_671))) = join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))),
    inference(subst,[],[refute_0_457:[bind(X_159,$fot(X_670)),bind(X_160,$fot(meet(join(X_669,X_670),join(X_670,X_671)))),bind(X_475,$fot(X_671)),bind(X_476,$fot(join(X_669,X_670)))]]) ).

cnf(refute_0_459,plain,
    join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))) = join(X_670,join(meet(join(X_669,X_670),join(X_670,X_671)),meet(join(X_669,X_670),X_671))),
    inference(subst,[],[refute_0_432:[bind(X,$fot(meet(join(X_669,X_670),X_671))),bind(X_475,$fot(join(X_669,X_670))),bind(X_476,$fot(join(X_670,X_671))),bind(X_68,$fot(X_670))]]) ).

cnf(refute_0_460,plain,
    ( join(X_670,join(meet(join(X_669,X_670),join(X_670,X_671)),meet(join(X_669,X_670),X_671))) != join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))
    | join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))) != join(X_670,join(meet(join(X_669,X_670),join(X_670,X_671)),meet(join(X_669,X_670),X_671)))
    | join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))) = join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))))),bind(Y0,$fot(join(X_670,join(meet(join(X_669,X_670),join(X_670,X_671)),meet(join(X_669,X_670),X_671))))),bind(Z0,$fot(join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))))]]) ).

cnf(refute_0_461,plain,
    ( join(X_670,join(meet(join(X_669,X_670),join(X_670,X_671)),meet(join(X_669,X_670),X_671))) != join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))
    | join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))) = join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))),join(X_670,join(meet(join(X_669,X_670),join(X_670,X_671)),meet(join(X_669,X_670),X_671)))) )],[refute_0_459,refute_0_460]) ).

cnf(refute_0_462,plain,
    join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))) = join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))),
    inference(resolve,[$cnf( $equal(join(X_670,join(meet(join(X_669,X_670),join(X_670,X_671)),meet(join(X_669,X_670),X_671))),join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))) )],[refute_0_458,refute_0_461]) ).

cnf(refute_0_463,plain,
    join(X_549,join(X_548,meet(X_167,X_166))) = join(meet(X_167,X_166),join(X_548,X_549)),
    inference(subst,[],[refute_0_330:[bind(X_444,$fot(meet(X_167,X_166))),bind(X_445,$fot(X_548)),bind(X_70,$fot(X_549))]]) ).

cnf(refute_0_464,plain,
    join(X_548,meet(X_166,X_167)) = join(X_548,meet(X_167,X_166)),
    inference(subst,[],[refute_0_360:[bind(X_165,$fot(X_548))]]) ).

cnf(refute_0_465,plain,
    ( join(X_548,meet(X_166,X_167)) != join(X_548,meet(X_167,X_166))
    | join(X_548,meet(X_167,X_166)) = join(X_548,meet(X_166,X_167)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_548,meet(X_166,X_167)))),bind(Y0,$fot(join(X_548,meet(X_167,X_166))))]]) ).

cnf(refute_0_466,plain,
    join(X_548,meet(X_167,X_166)) = join(X_548,meet(X_166,X_167)),
    inference(resolve,[$cnf( $equal(join(X_548,meet(X_166,X_167)),join(X_548,meet(X_167,X_166))) )],[refute_0_464,refute_0_465]) ).

cnf(refute_0_467,plain,
    ( join(X_548,meet(X_167,X_166)) != join(X_548,meet(X_166,X_167))
    | join(X_549,join(X_548,meet(X_167,X_166))) != join(meet(X_167,X_166),join(X_548,X_549))
    | join(X_549,join(X_548,meet(X_166,X_167))) = join(meet(X_167,X_166),join(X_548,X_549)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_549,join(X_548,meet(X_167,X_166))),join(meet(X_167,X_166),join(X_548,X_549))) ),[0,1],$fot(join(X_548,meet(X_166,X_167)))]]) ).

cnf(refute_0_468,plain,
    ( join(X_549,join(X_548,meet(X_167,X_166))) != join(meet(X_167,X_166),join(X_548,X_549))
    | join(X_549,join(X_548,meet(X_166,X_167))) = join(meet(X_167,X_166),join(X_548,X_549)) ),
    inference(resolve,[$cnf( $equal(join(X_548,meet(X_167,X_166)),join(X_548,meet(X_166,X_167))) )],[refute_0_466,refute_0_467]) ).

cnf(refute_0_469,plain,
    join(X_549,join(X_548,meet(X_166,X_167))) = join(meet(X_167,X_166),join(X_548,X_549)),
    inference(resolve,[$cnf( $equal(join(X_549,join(X_548,meet(X_167,X_166))),join(meet(X_167,X_166),join(X_548,X_549))) )],[refute_0_463,refute_0_468]) ).

cnf(refute_0_470,plain,
    join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))),
    inference(subst,[],[refute_0_469:[bind(X_166,$fot(X_671)),bind(X_167,$fot(join(X_669,X_670))),bind(X_548,$fot(X_670)),bind(X_549,$fot(meet(join(X_670,X_671),join(X_669,X_670))))]]) ).

cnf(refute_0_471,plain,
    ( join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))) != join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))
    | join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) != join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670))))
    | join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))))),bind(Y0,$fot(join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))))),bind(Z0,$fot(join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))))]]) ).

cnf(refute_0_472,plain,
    ( join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))) != join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))
    | join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))),join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670))))) )],[refute_0_470,refute_0_471]) ).

cnf(refute_0_473,plain,
    join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))),
    inference(resolve,[$cnf( $equal(join(meet(join(X_669,X_670),X_671),join(X_670,meet(join(X_670,X_671),join(X_669,X_670)))),join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))) )],[refute_0_462,refute_0_472]) ).

cnf(refute_0_474,plain,
    ( join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) != join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))
    | join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))))),bind(Y0,$fot(join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))))),bind(Z0,$fot(join(X_670,meet(join(X_669,X_670),X_671))))]]) ).

cnf(refute_0_475,plain,
    ( join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))),join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671))))) )],[refute_0_473,refute_0_474]) ).

cnf(refute_0_476,plain,
    join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) = join(X_670,meet(join(X_669,X_670),X_671)),
    inference(resolve,[$cnf( $equal(join(X_670,join(meet(X_671,join(X_669,X_670)),meet(join(X_669,X_670),join(X_670,X_671)))),join(X_670,meet(join(X_669,X_670),X_671))) )],[refute_0_450,refute_0_475]) ).

cnf(refute_0_477,plain,
    ( join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) != join(X_670,meet(join(X_669,X_670),X_671))
    | join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) != meet(join(X_670,X_671),join(X_669,X_670))
    | join(X_670,meet(join(X_669,X_670),X_671)) = meet(join(X_670,X_671),join(X_669,X_670)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))),meet(join(X_670,X_671),join(X_669,X_670))) ),[0],$fot(join(X_670,meet(join(X_669,X_670),X_671)))]]) ).

cnf(refute_0_478,plain,
    ( join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))) != meet(join(X_670,X_671),join(X_669,X_670))
    | join(X_670,meet(join(X_669,X_670),X_671)) = meet(join(X_670,X_671),join(X_669,X_670)) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))),join(X_670,meet(join(X_669,X_670),X_671))) )],[refute_0_476,refute_0_477]) ).

cnf(refute_0_479,plain,
    join(X_670,meet(join(X_669,X_670),X_671)) = meet(join(X_670,X_671),join(X_669,X_670)),
    inference(resolve,[$cnf( $equal(join(meet(join(X_670,X_671),join(X_669,X_670)),join(X_670,meet(X_671,join(X_669,X_670)))),meet(join(X_670,X_671),join(X_669,X_670))) )],[refute_0_414,refute_0_478]) ).

cnf(refute_0_480,plain,
    ( join(X_670,meet(join(X_669,X_670),X_671)) != meet(join(X_670,X_671),join(X_669,X_670))
    | meet(join(X_670,X_671),join(X_669,X_670)) = join(X_670,meet(join(X_669,X_670),X_671)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_670,meet(join(X_669,X_670),X_671)))),bind(Y0,$fot(meet(join(X_670,X_671),join(X_669,X_670))))]]) ).

cnf(refute_0_481,plain,
    meet(join(X_670,X_671),join(X_669,X_670)) = join(X_670,meet(join(X_669,X_670),X_671)),
    inference(resolve,[$cnf( $equal(join(X_670,meet(join(X_669,X_670),X_671)),meet(join(X_670,X_671),join(X_669,X_670))) )],[refute_0_479,refute_0_480]) ).

cnf(refute_0_482,plain,
    meet(join(X_681,X_680),join(X_682,X_681)) = join(X_681,meet(join(X_682,X_681),X_680)),
    inference(subst,[],[refute_0_481:[bind(X_669,$fot(X_682)),bind(X_670,$fot(X_681)),bind(X_671,$fot(X_680))]]) ).

cnf(refute_0_483,plain,
    ( meet(join(X_681,X_680),join(X_682,X_681)) != join(X_681,meet(X_682,join(X_681,X_680)))
    | meet(join(X_681,X_680),join(X_682,X_681)) != join(X_681,meet(join(X_682,X_681),X_680))
    | join(X_681,meet(join(X_682,X_681),X_680)) = join(X_681,meet(X_682,join(X_681,X_680))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_681,X_680),join(X_682,X_681)),join(X_681,meet(X_682,join(X_681,X_680)))) ),[0],$fot(join(X_681,meet(join(X_682,X_681),X_680)))]]) ).

cnf(refute_0_484,plain,
    ( meet(join(X_681,X_680),join(X_682,X_681)) != join(X_681,meet(X_682,join(X_681,X_680)))
    | join(X_681,meet(join(X_682,X_681),X_680)) = join(X_681,meet(X_682,join(X_681,X_680))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_681,X_680),join(X_682,X_681)),join(X_681,meet(join(X_682,X_681),X_680))) )],[refute_0_482,refute_0_483]) ).

cnf(refute_0_485,plain,
    join(X_681,meet(join(X_682,X_681),X_680)) = join(X_681,meet(X_682,join(X_681,X_680))),
    inference(resolve,[$cnf( $equal(meet(join(X_681,X_680),join(X_682,X_681)),join(X_681,meet(X_682,join(X_681,X_680)))) )],[refute_0_386,refute_0_484]) ).

cnf(refute_0_486,plain,
    join(X_442,meet(join(meet(Y,X_68),X_442),X_440)) = join(X_442,meet(meet(Y,X_68),join(X_442,X_440))),
    inference(subst,[],[refute_0_485:[bind(X_680,$fot(X_440)),bind(X_681,$fot(X_442)),bind(X_682,$fot(meet(Y,X_68)))]]) ).

cnf(refute_0_487,plain,
    ( join(X_442,meet(join(meet(Y,X_68),X_442),X_440)) != join(X_442,meet(meet(Y,X_68),join(X_442,X_440)))
    | join(X_442,meet(meet(Y,X_68),join(X_442,X_440))) != join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))
    | join(X_442,meet(join(meet(Y,X_68),X_442),X_440)) = join(X_442,meet(Y,meet(X_68,join(X_442,X_440)))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_442,meet(join(meet(Y,X_68),X_442),X_440)))),bind(Y0,$fot(join(X_442,meet(meet(Y,X_68),join(X_442,X_440))))),bind(Z0,$fot(join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))))]]) ).

cnf(refute_0_488,plain,
    ( join(X_442,meet(meet(Y,X_68),join(X_442,X_440))) != join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))
    | join(X_442,meet(join(meet(Y,X_68),X_442),X_440)) = join(X_442,meet(Y,meet(X_68,join(X_442,X_440)))) ),
    inference(resolve,[$cnf( $equal(join(X_442,meet(join(meet(Y,X_68),X_442),X_440)),join(X_442,meet(meet(Y,X_68),join(X_442,X_440)))) )],[refute_0_486,refute_0_487]) ).

cnf(refute_0_489,plain,
    join(X_442,meet(join(meet(Y,X_68),X_442),X_440)) = join(X_442,meet(Y,meet(X_68,join(X_442,X_440)))),
    inference(resolve,[$cnf( $equal(join(X_442,meet(meet(Y,X_68),join(X_442,X_440))),join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))) )],[refute_0_379,refute_0_488]) ).

cnf(refute_0_490,plain,
    join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),
    introduced(tautology,[refl,[$fot(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))))]]) ).

cnf(refute_0_491,plain,
    ( join(X_442,meet(join(meet(Y,X_68),X_442),X_440)) != join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) != join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440)))
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440)))) ),[1,1],$fot(join(X_442,meet(Y,meet(X_68,join(X_442,X_440)))))]]) ).

cnf(refute_0_492,plain,
    ( join(X_442,meet(join(meet(Y,X_68),X_442),X_440)) != join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))) ),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440)))) )],[refute_0_490,refute_0_491]) ).

cnf(refute_0_493,plain,
    join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_68,join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))),
    inference(resolve,[$cnf( $equal(join(X_442,meet(join(meet(Y,X_68),X_442),X_440)),join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))) )],[refute_0_489,refute_0_492]) ).

cnf(refute_0_494,plain,
    ( join(X_68,join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))) != join(X_442,X_68)
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) != join(X_68,join(X_442,meet(Y,meet(X_68,join(X_442,X_440)))))
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_442,X_68) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))))),bind(Y0,$fot(join(X_68,join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))))),bind(Z0,$fot(join(X_442,X_68)))]]) ).

cnf(refute_0_495,plain,
    ( join(X_68,join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))) != join(X_442,X_68)
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_442,X_68) ),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(X_68,join(X_442,meet(Y,meet(X_68,join(X_442,X_440)))))) )],[refute_0_493,refute_0_494]) ).

cnf(refute_0_496,plain,
    join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) = join(X_442,X_68),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_442,meet(Y,meet(X_68,join(X_442,X_440))))),join(X_442,X_68)) )],[refute_0_374,refute_0_495]) ).

cnf(refute_0_497,plain,
    ( join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) != join(X_442,X_68)
    | join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) != join(X_68,X_442)
    | join(X_442,X_68) = join(X_68,X_442) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(X_68,X_442)) ),[0],$fot(join(X_442,X_68))]]) ).

cnf(refute_0_498,plain,
    ( join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))) != join(X_68,X_442)
    | join(X_442,X_68) = join(X_68,X_442) ),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(X_442,X_68)) )],[refute_0_496,refute_0_497]) ).

cnf(refute_0_499,plain,
    join(X_442,X_68) = join(X_68,X_442),
    inference(resolve,[$cnf( $equal(join(X_68,join(X_442,meet(join(meet(Y,X_68),X_442),X_440))),join(X_68,X_442)) )],[refute_0_84,refute_0_498]) ).

cnf(refute_0_500,plain,
    ( join(X_442,X_68) != join(X_68,X_442)
    | join(X_68,X_442) = join(X_442,X_68) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_442,X_68))),bind(Y0,$fot(join(X_68,X_442)))]]) ).

cnf(refute_0_501,plain,
    join(X_68,X_442) = join(X_442,X_68),
    inference(resolve,[$cnf( $equal(join(X_442,X_68),join(X_68,X_442)) )],[refute_0_499,refute_0_500]) ).

cnf(refute_0_502,plain,
    join(r1,n0) = join(n0,r1),
    inference(subst,[],[refute_0_501:[bind(X_442,$fot(n0)),bind(X_68,$fot(r1))]]) ).

cnf(refute_0_503,plain,
    ( join(n0,r1) != r1
    | join(r1,n0) != join(n0,r1)
    | join(r1,n0) = r1 ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(r1,n0))),bind(Y0,$fot(join(n0,r1))),bind(Z0,$fot(r1))]]) ).

cnf(refute_0_504,plain,
    ( join(n0,r1) != r1
    | join(r1,n0) = r1 ),
    inference(resolve,[$cnf( $equal(join(r1,n0),join(n0,r1)) )],[refute_0_502,refute_0_503]) ).

cnf(refute_0_505,plain,
    join(r1,n0) = r1,
    inference(resolve,[$cnf( $equal(join(n0,r1),r1) )],[refute_0_60,refute_0_504]) ).

cnf(refute_0_506,plain,
    meet(meet(X_96,meet(Y,X_96)),X_98) = meet(X_96,meet(meet(Y,X_96),X_98)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(meet(Y,X_96))),bind(Z,$fot(X_98))]]) ).

cnf(refute_0_507,plain,
    meet(X_96,meet(Y,X_96)) = meet(X_96,Y),
    inference(subst,[],[refute_0_396:[bind(X_44,$fot(X_96))]]) ).

cnf(refute_0_508,plain,
    ( meet(X_96,meet(Y,X_96)) != meet(X_96,Y)
    | meet(meet(X_96,meet(Y,X_96)),X_98) != meet(X_96,meet(meet(Y,X_96),X_98))
    | meet(meet(X_96,Y),X_98) = meet(X_96,meet(meet(Y,X_96),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,meet(Y,X_96)),X_98),meet(X_96,meet(meet(Y,X_96),X_98))) ),[0,0],$fot(meet(X_96,Y))]]) ).

cnf(refute_0_509,plain,
    ( meet(meet(X_96,meet(Y,X_96)),X_98) != meet(X_96,meet(meet(Y,X_96),X_98))
    | meet(meet(X_96,Y),X_98) = meet(X_96,meet(meet(Y,X_96),X_98)) ),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(Y,X_96)),meet(X_96,Y)) )],[refute_0_507,refute_0_508]) ).

cnf(refute_0_510,plain,
    meet(meet(X_96,Y),X_98) = meet(X_96,meet(meet(Y,X_96),X_98)),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,meet(Y,X_96)),X_98),meet(X_96,meet(meet(Y,X_96),X_98))) )],[refute_0_506,refute_0_509]) ).

cnf(refute_0_511,plain,
    meet(meet(X_96,Y),X_98) = meet(X_96,meet(Y,X_98)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Z,$fot(X_98))]]) ).

cnf(refute_0_512,plain,
    ( meet(meet(X_96,Y),X_98) != meet(X_96,meet(Y,X_98))
    | meet(meet(X_96,Y),X_98) != meet(X_96,meet(meet(Y,X_96),X_98))
    | meet(X_96,meet(Y,X_98)) = meet(X_96,meet(meet(Y,X_96),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,Y),X_98),meet(X_96,meet(meet(Y,X_96),X_98))) ),[0],$fot(meet(X_96,meet(Y,X_98)))]]) ).

cnf(refute_0_513,plain,
    ( meet(meet(X_96,Y),X_98) != meet(X_96,meet(meet(Y,X_96),X_98))
    | meet(X_96,meet(Y,X_98)) = meet(X_96,meet(meet(Y,X_96),X_98)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,Y),X_98),meet(X_96,meet(Y,X_98))) )],[refute_0_511,refute_0_512]) ).

cnf(refute_0_514,plain,
    meet(meet(Y,X_96),X_98) = meet(Y,meet(X_96,X_98)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(Y)),bind(Y,$fot(X_96)),bind(Z,$fot(X_98))]]) ).

cnf(refute_0_515,plain,
    meet(X_96,meet(meet(Y,X_96),X_98)) = meet(X_96,meet(meet(Y,X_96),X_98)),
    introduced(tautology,[refl,[$fot(meet(X_96,meet(meet(Y,X_96),X_98)))]]) ).

cnf(refute_0_516,plain,
    ( meet(X_96,meet(meet(Y,X_96),X_98)) != meet(X_96,meet(meet(Y,X_96),X_98))
    | meet(meet(Y,X_96),X_98) != meet(Y,meet(X_96,X_98))
    | meet(X_96,meet(meet(Y,X_96),X_98)) = meet(X_96,meet(Y,meet(X_96,X_98))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_96,meet(meet(Y,X_96),X_98)),meet(X_96,meet(meet(Y,X_96),X_98))) ),[1,1],$fot(meet(Y,meet(X_96,X_98)))]]) ).

cnf(refute_0_517,plain,
    ( meet(meet(Y,X_96),X_98) != meet(Y,meet(X_96,X_98))
    | meet(X_96,meet(meet(Y,X_96),X_98)) = meet(X_96,meet(Y,meet(X_96,X_98))) ),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(meet(Y,X_96),X_98)),meet(X_96,meet(meet(Y,X_96),X_98))) )],[refute_0_515,refute_0_516]) ).

cnf(refute_0_518,plain,
    meet(X_96,meet(meet(Y,X_96),X_98)) = meet(X_96,meet(Y,meet(X_96,X_98))),
    inference(resolve,[$cnf( $equal(meet(meet(Y,X_96),X_98),meet(Y,meet(X_96,X_98))) )],[refute_0_514,refute_0_517]) ).

cnf(refute_0_519,plain,
    ( meet(X_96,meet(Y,X_98)) != meet(X_96,meet(meet(Y,X_96),X_98))
    | meet(X_96,meet(meet(Y,X_96),X_98)) != meet(X_96,meet(Y,meet(X_96,X_98)))
    | meet(X_96,meet(Y,X_98)) = meet(X_96,meet(Y,meet(X_96,X_98))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_96,meet(Y,X_98)),meet(X_96,meet(Y,meet(X_96,X_98)))) ),[0],$fot(meet(X_96,meet(meet(Y,X_96),X_98)))]]) ).

cnf(refute_0_520,plain,
    ( meet(X_96,meet(Y,X_98)) != meet(X_96,meet(meet(Y,X_96),X_98))
    | meet(X_96,meet(Y,X_98)) = meet(X_96,meet(Y,meet(X_96,X_98))) ),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(meet(Y,X_96),X_98)),meet(X_96,meet(Y,meet(X_96,X_98)))) )],[refute_0_518,refute_0_519]) ).

cnf(refute_0_521,plain,
    ( meet(meet(X_96,Y),X_98) != meet(X_96,meet(meet(Y,X_96),X_98))
    | meet(X_96,meet(Y,X_98)) = meet(X_96,meet(Y,meet(X_96,X_98))) ),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(Y,X_98)),meet(X_96,meet(meet(Y,X_96),X_98))) )],[refute_0_513,refute_0_520]) ).

cnf(refute_0_522,plain,
    meet(X_96,meet(Y,X_98)) = meet(X_96,meet(Y,meet(X_96,X_98))),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,Y),X_98),meet(X_96,meet(meet(Y,X_96),X_98))) )],[refute_0_510,refute_0_521]) ).

cnf(refute_0_523,plain,
    meet(b,meet(Y,join(r1,meet(a,r2)))) = meet(b,meet(Y,meet(b,join(r1,meet(a,r2))))),
    inference(subst,[],[refute_0_522:[bind(X_96,$fot(b)),bind(X_98,$fot(join(r1,meet(a,r2))))]]) ).

cnf(refute_0_524,plain,
    meet(meet(X_96,join(Y,X_96)),X_98) = meet(X_96,meet(join(Y,X_96),X_98)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(join(Y,X_96))),bind(Z,$fot(X_98))]]) ).

cnf(refute_0_525,plain,
    meet(X_96,join(Y,X_96)) = X_96,
    inference(subst,[],[refute_0_175:[bind(X,$fot(X_96))]]) ).

cnf(refute_0_526,plain,
    ( meet(X_96,join(Y,X_96)) != X_96
    | meet(meet(X_96,join(Y,X_96)),X_98) != meet(X_96,meet(join(Y,X_96),X_98))
    | meet(X_96,X_98) = meet(X_96,meet(join(Y,X_96),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,join(Y,X_96)),X_98),meet(X_96,meet(join(Y,X_96),X_98))) ),[0,0],$fot(X_96)]]) ).

cnf(refute_0_527,plain,
    ( meet(meet(X_96,join(Y,X_96)),X_98) != meet(X_96,meet(join(Y,X_96),X_98))
    | meet(X_96,X_98) = meet(X_96,meet(join(Y,X_96),X_98)) ),
    inference(resolve,[$cnf( $equal(meet(X_96,join(Y,X_96)),X_96) )],[refute_0_525,refute_0_526]) ).

cnf(refute_0_528,plain,
    meet(X_96,X_98) = meet(X_96,meet(join(Y,X_96),X_98)),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,join(Y,X_96)),X_98),meet(X_96,meet(join(Y,X_96),X_98))) )],[refute_0_524,refute_0_527]) ).

cnf(refute_0_529,plain,
    meet(b,join(r1,meet(join(a,b),X_66))) = meet(b,meet(join(a,b),join(r1,meet(join(a,b),X_66)))),
    inference(subst,[],[refute_0_528:[bind(Y,$fot(a)),bind(X_96,$fot(b)),bind(X_98,$fot(join(r1,meet(join(a,b),X_66))))]]) ).

cnf(refute_0_530,plain,
    ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,meet(r1,join(a,b)))) = join(X_165,meet(r1,join(a,b))),
    inference(subst,[],[modular:[bind(X,$fot(X_165)),bind(Y,$fot(r1)),bind(Z,$fot(join(a,b)))]]) ).

cnf(refute_0_531,plain,
    ifeq(complement(r1,join(a,b)),true,meet(r1,join(a,b)),n0) = n0,
    inference(subst,[],[complement_meet:[bind(X,$fot(r1)),bind(Y,$fot(join(a,b)))]]) ).

cnf(refute_0_532,plain,
    ( complement(r1,join(a,b)) != true
    | ifeq(complement(r1,join(a,b)),true,meet(r1,join(a,b)),n0) != n0
    | ifeq(true,true,meet(r1,join(a,b)),n0) = n0 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(complement(r1,join(a,b)),true,meet(r1,join(a,b)),n0),n0) ),[0,0],$fot(true)]]) ).

cnf(refute_0_533,plain,
    ( ifeq(complement(r1,join(a,b)),true,meet(r1,join(a,b)),n0) != n0
    | ifeq(true,true,meet(r1,join(a,b)),n0) = n0 ),
    inference(resolve,[$cnf( $equal(complement(r1,join(a,b)),true) )],[complement_of_a_join_b,refute_0_532]) ).

cnf(refute_0_534,plain,
    ifeq(true,true,meet(r1,join(a,b)),n0) = n0,
    inference(resolve,[$cnf( $equal(ifeq(complement(r1,join(a,b)),true,meet(r1,join(a,b)),n0),n0) )],[refute_0_531,refute_0_533]) ).

cnf(refute_0_535,plain,
    ifeq(true,true,meet(r1,join(a,b)),n0) = meet(r1,join(a,b)),
    inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(meet(r1,join(a,b)))),bind(C,$fot(n0))]]) ).

cnf(refute_0_536,plain,
    ( ifeq(true,true,meet(r1,join(a,b)),n0) != meet(r1,join(a,b))
    | ifeq(true,true,meet(r1,join(a,b)),n0) != n0
    | meet(r1,join(a,b)) = n0 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,meet(r1,join(a,b)),n0),n0) ),[0],$fot(meet(r1,join(a,b)))]]) ).

cnf(refute_0_537,plain,
    ( ifeq(true,true,meet(r1,join(a,b)),n0) != n0
    | meet(r1,join(a,b)) = n0 ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,meet(r1,join(a,b)),n0),meet(r1,join(a,b))) )],[refute_0_535,refute_0_536]) ).

cnf(refute_0_538,plain,
    meet(r1,join(a,b)) = n0,
    inference(resolve,[$cnf( $equal(ifeq(true,true,meet(r1,join(a,b)),n0),n0) )],[refute_0_534,refute_0_537]) ).

cnf(refute_0_539,plain,
    ( ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,meet(r1,join(a,b)))) != join(X_165,meet(r1,join(a,b)))
    | meet(r1,join(a,b)) != n0
    | ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) = join(X_165,meet(r1,join(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,meet(r1,join(a,b)))),join(X_165,meet(r1,join(a,b)))) ),[0,3,1],$fot(n0)]]) ).

cnf(refute_0_540,plain,
    ( ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,meet(r1,join(a,b)))) != join(X_165,meet(r1,join(a,b)))
    | ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) = join(X_165,meet(r1,join(a,b))) ),
    inference(resolve,[$cnf( $equal(meet(r1,join(a,b)),n0) )],[refute_0_538,refute_0_539]) ).

cnf(refute_0_541,plain,
    ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) = join(X_165,meet(r1,join(a,b))),
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,meet(r1,join(a,b)))),join(X_165,meet(r1,join(a,b)))) )],[refute_0_530,refute_0_540]) ).

cnf(refute_0_542,plain,
    join(X_165,n0) = X_165,
    inference(subst,[],[x_join_0:[bind(X,$fot(X_165))]]) ).

cnf(refute_0_543,plain,
    ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) = ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)),
    introduced(tautology,[refl,[$fot(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)))]]) ).

cnf(refute_0_544,plain,
    ( ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) != ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0))
    | join(X_165,n0) != X_165
    | ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) = ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)),ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0))) ),[1,3],$fot(X_165)]]) ).

cnf(refute_0_545,plain,
    ( join(X_165,n0) != X_165
    | ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) = ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165) ),
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)),ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0))) )],[refute_0_543,refute_0_544]) ).

cnf(refute_0_546,plain,
    ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) = ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165),
    inference(resolve,[$cnf( $equal(join(X_165,n0),X_165) )],[refute_0_542,refute_0_545]) ).

cnf(refute_0_547,plain,
    ( ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) != ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165)
    | ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) != join(X_165,meet(r1,join(a,b)))
    | ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165) = join(X_165,meet(r1,join(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)),join(X_165,meet(r1,join(a,b)))) ),[0],$fot(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165))]]) ).

cnf(refute_0_548,plain,
    ( ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) != join(X_165,meet(r1,join(a,b)))
    | ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165) = join(X_165,meet(r1,join(a,b))) ),
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)),ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165)) )],[refute_0_546,refute_0_547]) ).

cnf(refute_0_549,plain,
    join(X_165,meet(r1,join(a,b))) = join(X_165,meet(r1,join(a,b))),
    introduced(tautology,[refl,[$fot(join(X_165,meet(r1,join(a,b))))]]) ).

cnf(refute_0_550,plain,
    ( join(X_165,meet(r1,join(a,b))) != join(X_165,meet(r1,join(a,b)))
    | meet(r1,join(a,b)) != n0
    | join(X_165,meet(r1,join(a,b))) = join(X_165,n0) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_165,meet(r1,join(a,b))),join(X_165,meet(r1,join(a,b)))) ),[1,1],$fot(n0)]]) ).

cnf(refute_0_551,plain,
    ( meet(r1,join(a,b)) != n0
    | join(X_165,meet(r1,join(a,b))) = join(X_165,n0) ),
    inference(resolve,[$cnf( $equal(join(X_165,meet(r1,join(a,b))),join(X_165,meet(r1,join(a,b)))) )],[refute_0_549,refute_0_550]) ).

cnf(refute_0_552,plain,
    join(X_165,meet(r1,join(a,b))) = join(X_165,n0),
    inference(resolve,[$cnf( $equal(meet(r1,join(a,b)),n0) )],[refute_0_538,refute_0_551]) ).

cnf(refute_0_553,plain,
    ( join(X_165,meet(r1,join(a,b))) != join(X_165,n0)
    | join(X_165,n0) != X_165
    | join(X_165,meet(r1,join(a,b))) = X_165 ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_165,meet(r1,join(a,b))))),bind(Y0,$fot(join(X_165,n0))),bind(Z0,$fot(X_165))]]) ).

cnf(refute_0_554,plain,
    ( join(X_165,n0) != X_165
    | join(X_165,meet(r1,join(a,b))) = X_165 ),
    inference(resolve,[$cnf( $equal(join(X_165,meet(r1,join(a,b))),join(X_165,n0)) )],[refute_0_552,refute_0_553]) ).

cnf(refute_0_555,plain,
    join(X_165,meet(r1,join(a,b))) = X_165,
    inference(resolve,[$cnf( $equal(join(X_165,n0),X_165) )],[refute_0_542,refute_0_554]) ).

cnf(refute_0_556,plain,
    ( ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165) != join(X_165,meet(r1,join(a,b)))
    | join(X_165,meet(r1,join(a,b))) != X_165
    | ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165) = X_165 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165),X_165) ),[0],$fot(join(X_165,meet(r1,join(a,b))))]]) ).

cnf(refute_0_557,plain,
    ( ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165) != join(X_165,meet(r1,join(a,b)))
    | ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165) = X_165 ),
    inference(resolve,[$cnf( $equal(join(X_165,meet(r1,join(a,b))),X_165) )],[refute_0_555,refute_0_556]) ).

cnf(refute_0_558,plain,
    ( ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)) != join(X_165,meet(r1,join(a,b)))
    | ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165) = X_165 ),
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165),join(X_165,meet(r1,join(a,b)))) )],[refute_0_548,refute_0_557]) ).

cnf(refute_0_559,plain,
    ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),X_165) = X_165,
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_165,join(a,b)),X_165,meet(join(a,b),join(X_165,r1)),join(X_165,n0)),join(X_165,meet(r1,join(a,b)))) )],[refute_0_541,refute_0_558]) ).

cnf(refute_0_560,plain,
    ifeq3(meet(X_355,join(a,b)),X_355,meet(join(a,b),join(X_355,r1)),X_355) = X_355,
    inference(subst,[],[refute_0_559:[bind(X_165,$fot(X_355))]]) ).

cnf(refute_0_561,plain,
    meet(join(a,b),X_355) = meet(X_355,join(a,b)),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(join(a,b))),bind(Y,$fot(X_355))]]) ).

cnf(refute_0_562,plain,
    ( meet(join(a,b),X_355) != meet(X_355,join(a,b))
    | meet(X_355,join(a,b)) = meet(join(a,b),X_355) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(join(a,b),X_355))),bind(Y0,$fot(meet(X_355,join(a,b))))]]) ).

cnf(refute_0_563,plain,
    meet(X_355,join(a,b)) = meet(join(a,b),X_355),
    inference(resolve,[$cnf( $equal(meet(join(a,b),X_355),meet(X_355,join(a,b))) )],[refute_0_561,refute_0_562]) ).

cnf(refute_0_564,plain,
    ( ifeq3(meet(X_355,join(a,b)),X_355,meet(join(a,b),join(X_355,r1)),X_355) != X_355
    | meet(X_355,join(a,b)) != meet(join(a,b),X_355)
    | ifeq3(meet(join(a,b),X_355),X_355,meet(join(a,b),join(X_355,r1)),X_355) = X_355 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(X_355,join(a,b)),X_355,meet(join(a,b),join(X_355,r1)),X_355),X_355) ),[0,0],$fot(meet(join(a,b),X_355))]]) ).

cnf(refute_0_565,plain,
    ( ifeq3(meet(X_355,join(a,b)),X_355,meet(join(a,b),join(X_355,r1)),X_355) != X_355
    | ifeq3(meet(join(a,b),X_355),X_355,meet(join(a,b),join(X_355,r1)),X_355) = X_355 ),
    inference(resolve,[$cnf( $equal(meet(X_355,join(a,b)),meet(join(a,b),X_355)) )],[refute_0_563,refute_0_564]) ).

cnf(refute_0_566,plain,
    ifeq3(meet(join(a,b),X_355),X_355,meet(join(a,b),join(X_355,r1)),X_355) = X_355,
    inference(resolve,[$cnf( $equal(ifeq3(meet(X_355,join(a,b)),X_355,meet(join(a,b),join(X_355,r1)),X_355),X_355) )],[refute_0_560,refute_0_565]) ).

cnf(refute_0_567,plain,
    ifeq3(meet(join(a,b),meet(join(a,b),X_66)),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) = meet(join(a,b),X_66),
    inference(subst,[],[refute_0_566:[bind(X_355,$fot(meet(join(a,b),X_66)))]]) ).

cnf(refute_0_568,plain,
    meet(X_67,meet(X_66,X_67)) = meet(X_67,X_66),
    inference(subst,[],[refute_0_396:[bind(Y,$fot(X_66)),bind(X_44,$fot(X_67))]]) ).

cnf(refute_0_569,plain,
    meet(X_67,X_66) = meet(X_66,X_67),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_67)),bind(Y,$fot(X_66))]]) ).

cnf(refute_0_570,plain,
    ( meet(X_67,X_66) != meet(X_66,X_67)
    | meet(X_66,X_67) = meet(X_67,X_66) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_67,X_66))),bind(Y0,$fot(meet(X_66,X_67)))]]) ).

cnf(refute_0_571,plain,
    meet(X_66,X_67) = meet(X_67,X_66),
    inference(resolve,[$cnf( $equal(meet(X_67,X_66),meet(X_66,X_67)) )],[refute_0_569,refute_0_570]) ).

cnf(refute_0_572,plain,
    ( meet(X_66,X_67) != meet(X_67,X_66)
    | meet(X_67,meet(X_66,X_67)) != meet(X_67,X_66)
    | meet(X_67,meet(X_67,X_66)) = meet(X_67,X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_67,meet(X_66,X_67)),meet(X_67,X_66)) ),[0,1],$fot(meet(X_67,X_66))]]) ).

cnf(refute_0_573,plain,
    ( meet(X_67,meet(X_66,X_67)) != meet(X_67,X_66)
    | meet(X_67,meet(X_67,X_66)) = meet(X_67,X_66) ),
    inference(resolve,[$cnf( $equal(meet(X_66,X_67),meet(X_67,X_66)) )],[refute_0_571,refute_0_572]) ).

cnf(refute_0_574,plain,
    meet(X_67,meet(X_67,X_66)) = meet(X_67,X_66),
    inference(resolve,[$cnf( $equal(meet(X_67,meet(X_66,X_67)),meet(X_67,X_66)) )],[refute_0_568,refute_0_573]) ).

cnf(refute_0_575,plain,
    meet(join(a,b),meet(join(a,b),X_66)) = meet(join(a,b),X_66),
    inference(subst,[],[refute_0_574:[bind(X_67,$fot(join(a,b)))]]) ).

cnf(refute_0_576,plain,
    ( ifeq3(meet(join(a,b),meet(join(a,b),X_66)),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) != meet(join(a,b),X_66)
    | meet(join(a,b),meet(join(a,b),X_66)) != meet(join(a,b),X_66)
    | ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) = meet(join(a,b),X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(join(a,b),meet(join(a,b),X_66)),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)),meet(join(a,b),X_66)) ),[0,0],$fot(meet(join(a,b),X_66))]]) ).

cnf(refute_0_577,plain,
    ( ifeq3(meet(join(a,b),meet(join(a,b),X_66)),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) != meet(join(a,b),X_66)
    | ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) = meet(join(a,b),X_66) ),
    inference(resolve,[$cnf( $equal(meet(join(a,b),meet(join(a,b),X_66)),meet(join(a,b),X_66)) )],[refute_0_575,refute_0_576]) ).

cnf(refute_0_578,plain,
    ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) = meet(join(a,b),X_66),
    inference(resolve,[$cnf( $equal(ifeq3(meet(join(a,b),meet(join(a,b),X_66)),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)),meet(join(a,b),X_66)) )],[refute_0_567,refute_0_577]) ).

cnf(refute_0_579,plain,
    meet(join(X_64,Y),join(Y,join(X_64,Y))) = join(X_64,Y),
    inference(subst,[],[refute_0_175:[bind(X,$fot(join(X_64,Y)))]]) ).

cnf(refute_0_580,plain,
    join(Y,join(X_64,Y)) = join(Y,X_64),
    inference(subst,[],[refute_0_93:[bind(Y,$fot(X_64)),bind(X_63,$fot(Y))]]) ).

cnf(refute_0_581,plain,
    ( join(Y,join(X_64,Y)) != join(Y,X_64)
    | meet(join(X_64,Y),join(Y,join(X_64,Y))) != join(X_64,Y)
    | meet(join(X_64,Y),join(Y,X_64)) = join(X_64,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_64,Y),join(Y,join(X_64,Y))),join(X_64,Y)) ),[0,1],$fot(join(Y,X_64))]]) ).

cnf(refute_0_582,plain,
    ( meet(join(X_64,Y),join(Y,join(X_64,Y))) != join(X_64,Y)
    | meet(join(X_64,Y),join(Y,X_64)) = join(X_64,Y) ),
    inference(resolve,[$cnf( $equal(join(Y,join(X_64,Y)),join(Y,X_64)) )],[refute_0_580,refute_0_581]) ).

cnf(refute_0_583,plain,
    meet(join(X_64,Y),join(Y,X_64)) = join(X_64,Y),
    inference(resolve,[$cnf( $equal(meet(join(X_64,Y),join(Y,join(X_64,Y))),join(X_64,Y)) )],[refute_0_579,refute_0_582]) ).

cnf(refute_0_584,plain,
    meet(X_64,join(X_64,Y)) = X_64,
    inference(subst,[],[absorption1:[bind(X,$fot(X_64))]]) ).

cnf(refute_0_585,plain,
    join(Y,meet(X_64,join(X_64,Y))) = join(Y,meet(X_64,join(X_64,Y))),
    introduced(tautology,[refl,[$fot(join(Y,meet(X_64,join(X_64,Y))))]]) ).

cnf(refute_0_586,plain,
    ( join(Y,meet(X_64,join(X_64,Y))) != join(Y,meet(X_64,join(X_64,Y)))
    | meet(X_64,join(X_64,Y)) != X_64
    | join(Y,meet(X_64,join(X_64,Y))) = join(Y,X_64) ),
    introduced(tautology,[equality,[$cnf( $equal(join(Y,meet(X_64,join(X_64,Y))),join(Y,meet(X_64,join(X_64,Y)))) ),[1,1],$fot(X_64)]]) ).

cnf(refute_0_587,plain,
    ( meet(X_64,join(X_64,Y)) != X_64
    | join(Y,meet(X_64,join(X_64,Y))) = join(Y,X_64) ),
    inference(resolve,[$cnf( $equal(join(Y,meet(X_64,join(X_64,Y))),join(Y,meet(X_64,join(X_64,Y)))) )],[refute_0_585,refute_0_586]) ).

cnf(refute_0_588,plain,
    join(Y,meet(X_64,join(X_64,Y))) = join(Y,X_64),
    inference(resolve,[$cnf( $equal(meet(X_64,join(X_64,Y)),X_64) )],[refute_0_584,refute_0_587]) ).

cnf(refute_0_589,plain,
    meet(join(X_64,Y),join(Y,X_64)) = join(Y,meet(X_64,join(X_64,Y))),
    inference(subst,[],[refute_0_410:[bind(Y,$fot(X_64)),bind(X_165,$fot(Y)),bind(X_166,$fot(X_64))]]) ).

cnf(refute_0_590,plain,
    ( join(Y,meet(X_64,join(X_64,Y))) != join(Y,X_64)
    | meet(join(X_64,Y),join(Y,X_64)) != join(Y,meet(X_64,join(X_64,Y)))
    | meet(join(X_64,Y),join(Y,X_64)) = join(Y,X_64) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(join(X_64,Y),join(Y,X_64)))),bind(Y0,$fot(join(Y,meet(X_64,join(X_64,Y))))),bind(Z0,$fot(join(Y,X_64)))]]) ).

cnf(refute_0_591,plain,
    ( join(Y,meet(X_64,join(X_64,Y))) != join(Y,X_64)
    | meet(join(X_64,Y),join(Y,X_64)) = join(Y,X_64) ),
    inference(resolve,[$cnf( $equal(meet(join(X_64,Y),join(Y,X_64)),join(Y,meet(X_64,join(X_64,Y)))) )],[refute_0_589,refute_0_590]) ).

cnf(refute_0_592,plain,
    meet(join(X_64,Y),join(Y,X_64)) = join(Y,X_64),
    inference(resolve,[$cnf( $equal(join(Y,meet(X_64,join(X_64,Y))),join(Y,X_64)) )],[refute_0_588,refute_0_591]) ).

cnf(refute_0_593,plain,
    ( meet(join(X_64,Y),join(Y,X_64)) != join(Y,X_64)
    | meet(join(X_64,Y),join(Y,X_64)) != join(X_64,Y)
    | join(Y,X_64) = join(X_64,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_64,Y),join(Y,X_64)),join(X_64,Y)) ),[0],$fot(join(Y,X_64))]]) ).

cnf(refute_0_594,plain,
    ( meet(join(X_64,Y),join(Y,X_64)) != join(X_64,Y)
    | join(Y,X_64) = join(X_64,Y) ),
    inference(resolve,[$cnf( $equal(meet(join(X_64,Y),join(Y,X_64)),join(Y,X_64)) )],[refute_0_592,refute_0_593]) ).

cnf(refute_0_595,plain,
    join(Y,X_64) = join(X_64,Y),
    inference(resolve,[$cnf( $equal(meet(join(X_64,Y),join(Y,X_64)),join(X_64,Y)) )],[refute_0_583,refute_0_594]) ).

cnf(refute_0_596,plain,
    ( join(Y,X_64) != join(X_64,Y)
    | join(X_64,Y) = join(Y,X_64) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(Y,X_64))),bind(Y0,$fot(join(X_64,Y)))]]) ).

cnf(refute_0_597,plain,
    join(X_64,Y) = join(Y,X_64),
    inference(resolve,[$cnf( $equal(join(Y,X_64),join(X_64,Y)) )],[refute_0_595,refute_0_596]) ).

cnf(refute_0_598,plain,
    join(meet(join(a,b),X_66),r1) = join(r1,meet(join(a,b),X_66)),
    inference(subst,[],[refute_0_597:[bind(Y,$fot(r1)),bind(X_64,$fot(meet(join(a,b),X_66)))]]) ).

cnf(refute_0_599,plain,
    meet(join(a,b),join(meet(join(a,b),X_66),r1)) = meet(join(a,b),join(meet(join(a,b),X_66),r1)),
    introduced(tautology,[refl,[$fot(meet(join(a,b),join(meet(join(a,b),X_66),r1)))]]) ).

cnf(refute_0_600,plain,
    ( join(meet(join(a,b),X_66),r1) != join(r1,meet(join(a,b),X_66))
    | meet(join(a,b),join(meet(join(a,b),X_66),r1)) != meet(join(a,b),join(meet(join(a,b),X_66),r1))
    | meet(join(a,b),join(meet(join(a,b),X_66),r1)) = meet(join(a,b),join(r1,meet(join(a,b),X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),join(meet(join(a,b),X_66),r1))) ),[1,1],$fot(join(r1,meet(join(a,b),X_66)))]]) ).

cnf(refute_0_601,plain,
    ( join(meet(join(a,b),X_66),r1) != join(r1,meet(join(a,b),X_66))
    | meet(join(a,b),join(meet(join(a,b),X_66),r1)) = meet(join(a,b),join(r1,meet(join(a,b),X_66))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),join(meet(join(a,b),X_66),r1))) )],[refute_0_599,refute_0_600]) ).

cnf(refute_0_602,plain,
    meet(join(a,b),join(meet(join(a,b),X_66),r1)) = meet(join(a,b),join(r1,meet(join(a,b),X_66))),
    inference(resolve,[$cnf( $equal(join(meet(join(a,b),X_66),r1),join(r1,meet(join(a,b),X_66))) )],[refute_0_598,refute_0_601]) ).

cnf(refute_0_603,plain,
    ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) = meet(join(a,b),join(meet(join(a,b),X_66),r1)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(meet(join(a,b),X_66))),bind(B,$fot(meet(join(a,b),join(meet(join(a,b),X_66),r1)))),bind(C,$fot(meet(join(a,b),X_66)))]]) ).

cnf(refute_0_604,plain,
    ( ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) != meet(join(a,b),join(meet(join(a,b),X_66),r1))
    | meet(join(a,b),join(meet(join(a,b),X_66),r1)) != meet(join(a,b),join(r1,meet(join(a,b),X_66)))
    | ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) = meet(join(a,b),join(r1,meet(join(a,b),X_66))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)))),bind(Y0,$fot(meet(join(a,b),join(meet(join(a,b),X_66),r1)))),bind(Z0,$fot(meet(join(a,b),join(r1,meet(join(a,b),X_66)))))]]) ).

cnf(refute_0_605,plain,
    ( meet(join(a,b),join(meet(join(a,b),X_66),r1)) != meet(join(a,b),join(r1,meet(join(a,b),X_66)))
    | ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) = meet(join(a,b),join(r1,meet(join(a,b),X_66))) ),
    inference(resolve,[$cnf( $equal(ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)),meet(join(a,b),join(meet(join(a,b),X_66),r1))) )],[refute_0_603,refute_0_604]) ).

cnf(refute_0_606,plain,
    ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) = meet(join(a,b),join(r1,meet(join(a,b),X_66))),
    inference(resolve,[$cnf( $equal(meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),join(r1,meet(join(a,b),X_66)))) )],[refute_0_602,refute_0_605]) ).

cnf(refute_0_607,plain,
    ( ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) != meet(join(a,b),X_66)
    | ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) != meet(join(a,b),join(r1,meet(join(a,b),X_66)))
    | meet(join(a,b),join(r1,meet(join(a,b),X_66))) = meet(join(a,b),X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)),meet(join(a,b),X_66)) ),[0],$fot(meet(join(a,b),join(r1,meet(join(a,b),X_66))))]]) ).

cnf(refute_0_608,plain,
    ( ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)) != meet(join(a,b),X_66)
    | meet(join(a,b),join(r1,meet(join(a,b),X_66))) = meet(join(a,b),X_66) ),
    inference(resolve,[$cnf( $equal(ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)),meet(join(a,b),join(r1,meet(join(a,b),X_66)))) )],[refute_0_606,refute_0_607]) ).

cnf(refute_0_609,plain,
    meet(join(a,b),join(r1,meet(join(a,b),X_66))) = meet(join(a,b),X_66),
    inference(resolve,[$cnf( $equal(ifeq3(meet(join(a,b),X_66),meet(join(a,b),X_66),meet(join(a,b),join(meet(join(a,b),X_66),r1)),meet(join(a,b),X_66)),meet(join(a,b),X_66)) )],[refute_0_578,refute_0_608]) ).

cnf(refute_0_610,plain,
    ( meet(b,join(r1,meet(join(a,b),X_66))) != meet(b,meet(join(a,b),join(r1,meet(join(a,b),X_66))))
    | meet(join(a,b),join(r1,meet(join(a,b),X_66))) != meet(join(a,b),X_66)
    | meet(b,join(r1,meet(join(a,b),X_66))) = meet(b,meet(join(a,b),X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,join(r1,meet(join(a,b),X_66))),meet(b,meet(join(a,b),join(r1,meet(join(a,b),X_66))))) ),[1,1],$fot(meet(join(a,b),X_66))]]) ).

cnf(refute_0_611,plain,
    ( meet(b,join(r1,meet(join(a,b),X_66))) != meet(b,meet(join(a,b),join(r1,meet(join(a,b),X_66))))
    | meet(b,join(r1,meet(join(a,b),X_66))) = meet(b,meet(join(a,b),X_66)) ),
    inference(resolve,[$cnf( $equal(meet(join(a,b),join(r1,meet(join(a,b),X_66))),meet(join(a,b),X_66)) )],[refute_0_609,refute_0_610]) ).

cnf(refute_0_612,plain,
    meet(b,join(r1,meet(join(a,b),X_66))) = meet(b,meet(join(a,b),X_66)),
    inference(resolve,[$cnf( $equal(meet(b,join(r1,meet(join(a,b),X_66))),meet(b,meet(join(a,b),join(r1,meet(join(a,b),X_66))))) )],[refute_0_529,refute_0_611]) ).

cnf(refute_0_613,plain,
    ( meet(X_96,X_98) != meet(X_96,meet(join(Y,X_96),X_98))
    | meet(X_96,meet(join(Y,X_96),X_98)) = meet(X_96,X_98) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_96,X_98))),bind(Y0,$fot(meet(X_96,meet(join(Y,X_96),X_98))))]]) ).

cnf(refute_0_614,plain,
    meet(X_96,meet(join(Y,X_96),X_98)) = meet(X_96,X_98),
    inference(resolve,[$cnf( $equal(meet(X_96,X_98),meet(X_96,meet(join(Y,X_96),X_98))) )],[refute_0_528,refute_0_613]) ).

cnf(refute_0_615,plain,
    meet(b,meet(join(a,b),X_66)) = meet(b,X_66),
    inference(subst,[],[refute_0_614:[bind(Y,$fot(a)),bind(X_96,$fot(b)),bind(X_98,$fot(X_66))]]) ).

cnf(refute_0_616,plain,
    ( meet(b,join(r1,meet(join(a,b),X_66))) != meet(b,meet(join(a,b),X_66))
    | meet(b,meet(join(a,b),X_66)) != meet(b,X_66)
    | meet(b,join(r1,meet(join(a,b),X_66))) = meet(b,X_66) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,join(r1,meet(join(a,b),X_66))),meet(b,X_66)) ),[0],$fot(meet(b,meet(join(a,b),X_66)))]]) ).

cnf(refute_0_617,plain,
    ( meet(b,join(r1,meet(join(a,b),X_66))) != meet(b,meet(join(a,b),X_66))
    | meet(b,join(r1,meet(join(a,b),X_66))) = meet(b,X_66) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(join(a,b),X_66)),meet(b,X_66)) )],[refute_0_615,refute_0_616]) ).

cnf(refute_0_618,plain,
    meet(b,join(r1,meet(join(a,b),X_66))) = meet(b,X_66),
    inference(resolve,[$cnf( $equal(meet(b,join(r1,meet(join(a,b),X_66))),meet(b,meet(join(a,b),X_66))) )],[refute_0_612,refute_0_617]) ).

cnf(refute_0_619,plain,
    meet(b,join(r1,meet(join(a,b),meet(X_1921,meet(a,r2))))) = meet(b,meet(X_1921,meet(a,r2))),
    inference(subst,[],[refute_0_618:[bind(X_66,$fot(meet(X_1921,meet(a,r2))))]]) ).

cnf(refute_0_620,plain,
    join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) = join(X_68,join(meet(Y,X_68),meet(X_423,meet(X_424,meet(Y,X_68))))),
    inference(subst,[],[refute_0_68:[bind(X_70,$fot(meet(X_423,meet(X_424,meet(Y,X_68)))))]]) ).

cnf(refute_0_621,plain,
    join(meet(Y,X_68),meet(X_423,meet(X_424,meet(Y,X_68)))) = meet(Y,X_68),
    inference(subst,[],[refute_0_336:[bind(X,$fot(meet(Y,X_68))),bind(X_96,$fot(X_423)),bind(X_97,$fot(X_424))]]) ).

cnf(refute_0_622,plain,
    ( join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) != join(X_68,join(meet(Y,X_68),meet(X_423,meet(X_424,meet(Y,X_68)))))
    | join(meet(Y,X_68),meet(X_423,meet(X_424,meet(Y,X_68)))) != meet(Y,X_68)
    | join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) = join(X_68,meet(Y,X_68)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))),join(X_68,join(meet(Y,X_68),meet(X_423,meet(X_424,meet(Y,X_68)))))) ),[1,1],$fot(meet(Y,X_68))]]) ).

cnf(refute_0_623,plain,
    ( join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) != join(X_68,join(meet(Y,X_68),meet(X_423,meet(X_424,meet(Y,X_68)))))
    | join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) = join(X_68,meet(Y,X_68)) ),
    inference(resolve,[$cnf( $equal(join(meet(Y,X_68),meet(X_423,meet(X_424,meet(Y,X_68)))),meet(Y,X_68)) )],[refute_0_621,refute_0_622]) ).

cnf(refute_0_624,plain,
    join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) = join(X_68,meet(Y,X_68)),
    inference(resolve,[$cnf( $equal(join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))),join(X_68,join(meet(Y,X_68),meet(X_423,meet(X_424,meet(Y,X_68)))))) )],[refute_0_620,refute_0_623]) ).

cnf(refute_0_625,plain,
    ( join(X_68,meet(Y,X_68)) != X_68
    | join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) != join(X_68,meet(Y,X_68))
    | join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) = X_68 ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))),join(X_68,meet(Y,X_68))) ),[1],$fot(X_68)]]) ).

cnf(refute_0_626,plain,
    ( join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) != join(X_68,meet(Y,X_68))
    | join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) = X_68 ),
    inference(resolve,[$cnf( $equal(join(X_68,meet(Y,X_68)),X_68) )],[refute_0_65,refute_0_625]) ).

cnf(refute_0_627,plain,
    join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))) = X_68,
    inference(resolve,[$cnf( $equal(join(X_68,meet(X_423,meet(X_424,meet(Y,X_68)))),join(X_68,meet(Y,X_68))) )],[refute_0_624,refute_0_626]) ).

cnf(refute_0_628,plain,
    join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,meet(b,meet(X,meet(Y,meet(a,r2))))))) = meet(X,meet(Y,meet(a,r2))),
    inference(subst,[],[refute_0_627:[bind(Y,$fot(b)),bind(X_423,$fot(X_1059)),bind(X_424,$fot(X_1060)),bind(X_68,$fot(meet(X,meet(Y,meet(a,r2)))))]]) ).

cnf(refute_0_629,plain,
    meet(meet(X_96,a),meet(b,r2)) = meet(X_96,meet(a,meet(b,r2))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(a)),bind(Z,$fot(meet(b,r2)))]]) ).

cnf(refute_0_630,plain,
    meet(r2,meet(a,b)) = meet(meet(a,b),r2),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(r2)),bind(Y,$fot(meet(a,b)))]]) ).

cnf(refute_0_631,plain,
    ifeq(complement(r2,meet(a,b)),true,meet(r2,meet(a,b)),n0) = n0,
    inference(subst,[],[complement_meet:[bind(X,$fot(r2)),bind(Y,$fot(meet(a,b)))]]) ).

cnf(refute_0_632,plain,
    ( complement(r2,meet(a,b)) != true
    | ifeq(complement(r2,meet(a,b)),true,meet(r2,meet(a,b)),n0) != n0
    | ifeq(true,true,meet(r2,meet(a,b)),n0) = n0 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(complement(r2,meet(a,b)),true,meet(r2,meet(a,b)),n0),n0) ),[0,0],$fot(true)]]) ).

cnf(refute_0_633,plain,
    ( ifeq(complement(r2,meet(a,b)),true,meet(r2,meet(a,b)),n0) != n0
    | ifeq(true,true,meet(r2,meet(a,b)),n0) = n0 ),
    inference(resolve,[$cnf( $equal(complement(r2,meet(a,b)),true) )],[complement_of_a_meet_b,refute_0_632]) ).

cnf(refute_0_634,plain,
    ifeq(true,true,meet(r2,meet(a,b)),n0) = n0,
    inference(resolve,[$cnf( $equal(ifeq(complement(r2,meet(a,b)),true,meet(r2,meet(a,b)),n0),n0) )],[refute_0_631,refute_0_633]) ).

cnf(refute_0_635,plain,
    ifeq(true,true,meet(r2,meet(a,b)),n0) = meet(r2,meet(a,b)),
    inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(meet(r2,meet(a,b)))),bind(C,$fot(n0))]]) ).

cnf(refute_0_636,plain,
    ( ifeq(true,true,meet(r2,meet(a,b)),n0) != meet(r2,meet(a,b))
    | ifeq(true,true,meet(r2,meet(a,b)),n0) != n0
    | meet(r2,meet(a,b)) = n0 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,meet(r2,meet(a,b)),n0),n0) ),[0],$fot(meet(r2,meet(a,b)))]]) ).

cnf(refute_0_637,plain,
    ( ifeq(true,true,meet(r2,meet(a,b)),n0) != n0
    | meet(r2,meet(a,b)) = n0 ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,meet(r2,meet(a,b)),n0),meet(r2,meet(a,b))) )],[refute_0_635,refute_0_636]) ).

cnf(refute_0_638,plain,
    meet(r2,meet(a,b)) = n0,
    inference(resolve,[$cnf( $equal(ifeq(true,true,meet(r2,meet(a,b)),n0),n0) )],[refute_0_634,refute_0_637]) ).

cnf(refute_0_639,plain,
    ( meet(r2,meet(a,b)) != meet(meet(a,b),r2)
    | meet(r2,meet(a,b)) != n0
    | n0 = meet(meet(a,b),r2) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(r2,meet(a,b)),meet(meet(a,b),r2)) ),[0],$fot(n0)]]) ).

cnf(refute_0_640,plain,
    ( meet(r2,meet(a,b)) != meet(meet(a,b),r2)
    | n0 = meet(meet(a,b),r2) ),
    inference(resolve,[$cnf( $equal(meet(r2,meet(a,b)),n0) )],[refute_0_638,refute_0_639]) ).

cnf(refute_0_641,plain,
    n0 = meet(meet(a,b),r2),
    inference(resolve,[$cnf( $equal(meet(r2,meet(a,b)),meet(meet(a,b),r2)) )],[refute_0_630,refute_0_640]) ).

cnf(refute_0_642,plain,
    meet(meet(a,b),r2) = meet(a,meet(b,r2)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(r2))]]) ).

cnf(refute_0_643,plain,
    ( meet(meet(a,b),r2) != meet(a,meet(b,r2))
    | n0 != meet(meet(a,b),r2)
    | n0 = meet(a,meet(b,r2)) ),
    introduced(tautology,[equality,[$cnf( $equal(n0,meet(meet(a,b),r2)) ),[1],$fot(meet(a,meet(b,r2)))]]) ).

cnf(refute_0_644,plain,
    ( n0 != meet(meet(a,b),r2)
    | n0 = meet(a,meet(b,r2)) ),
    inference(resolve,[$cnf( $equal(meet(meet(a,b),r2),meet(a,meet(b,r2))) )],[refute_0_642,refute_0_643]) ).

cnf(refute_0_645,plain,
    n0 = meet(a,meet(b,r2)),
    inference(resolve,[$cnf( $equal(n0,meet(meet(a,b),r2)) )],[refute_0_641,refute_0_644]) ).

cnf(refute_0_646,plain,
    ( n0 != meet(a,meet(b,r2))
    | meet(a,meet(b,r2)) = n0 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(n0)),bind(Y0,$fot(meet(a,meet(b,r2))))]]) ).

cnf(refute_0_647,plain,
    meet(a,meet(b,r2)) = n0,
    inference(resolve,[$cnf( $equal(n0,meet(a,meet(b,r2))) )],[refute_0_645,refute_0_646]) ).

cnf(refute_0_648,plain,
    ( meet(a,meet(b,r2)) != n0
    | meet(meet(X_96,a),meet(b,r2)) != meet(X_96,meet(a,meet(b,r2)))
    | meet(meet(X_96,a),meet(b,r2)) = meet(X_96,n0) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,a),meet(b,r2)),meet(X_96,meet(a,meet(b,r2)))) ),[1,1],$fot(n0)]]) ).

cnf(refute_0_649,plain,
    ( meet(meet(X_96,a),meet(b,r2)) != meet(X_96,meet(a,meet(b,r2)))
    | meet(meet(X_96,a),meet(b,r2)) = meet(X_96,n0) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(b,r2)),n0) )],[refute_0_647,refute_0_648]) ).

cnf(refute_0_650,plain,
    meet(meet(X_96,a),meet(b,r2)) = meet(X_96,n0),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,a),meet(b,r2)),meet(X_96,meet(a,meet(b,r2)))) )],[refute_0_629,refute_0_649]) ).

cnf(refute_0_651,plain,
    meet(meet(X_96,a),r2) = meet(X_96,meet(a,r2)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(a)),bind(Z,$fot(r2))]]) ).

cnf(refute_0_652,plain,
    meet(b,meet(meet(X_96,a),r2)) = meet(b,meet(meet(X_96,a),r2)),
    introduced(tautology,[refl,[$fot(meet(b,meet(meet(X_96,a),r2)))]]) ).

cnf(refute_0_653,plain,
    ( meet(b,meet(meet(X_96,a),r2)) != meet(b,meet(meet(X_96,a),r2))
    | meet(meet(X_96,a),r2) != meet(X_96,meet(a,r2))
    | meet(b,meet(meet(X_96,a),r2)) = meet(b,meet(X_96,meet(a,r2))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(meet(X_96,a),r2)),meet(b,meet(meet(X_96,a),r2))) ),[1,1],$fot(meet(X_96,meet(a,r2)))]]) ).

cnf(refute_0_654,plain,
    ( meet(meet(X_96,a),r2) != meet(X_96,meet(a,r2))
    | meet(b,meet(meet(X_96,a),r2)) = meet(b,meet(X_96,meet(a,r2))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(X_96,a),r2)),meet(b,meet(meet(X_96,a),r2))) )],[refute_0_652,refute_0_653]) ).

cnf(refute_0_655,plain,
    meet(b,meet(meet(X_96,a),r2)) = meet(b,meet(X_96,meet(a,r2))),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,a),r2),meet(X_96,meet(a,r2))) )],[refute_0_651,refute_0_654]) ).

cnf(refute_0_656,plain,
    meet(meet(X_96,X_97),X_98) = meet(X_96,meet(X_97,X_98)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(X_97)),bind(Z,$fot(X_98))]]) ).

cnf(refute_0_657,plain,
    meet(X_97,X_96) = meet(X_96,X_97),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_97)),bind(Y,$fot(X_96))]]) ).

cnf(refute_0_658,plain,
    ( meet(X_97,X_96) != meet(X_96,X_97)
    | meet(X_96,X_97) = meet(X_97,X_96) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_97,X_96))),bind(Y0,$fot(meet(X_96,X_97)))]]) ).

cnf(refute_0_659,plain,
    meet(X_96,X_97) = meet(X_97,X_96),
    inference(resolve,[$cnf( $equal(meet(X_97,X_96),meet(X_96,X_97)) )],[refute_0_657,refute_0_658]) ).

cnf(refute_0_660,plain,
    ( meet(X_96,X_97) != meet(X_97,X_96)
    | meet(meet(X_96,X_97),X_98) != meet(X_96,meet(X_97,X_98))
    | meet(meet(X_97,X_96),X_98) = meet(X_96,meet(X_97,X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,X_97),X_98),meet(X_96,meet(X_97,X_98))) ),[0,0],$fot(meet(X_97,X_96))]]) ).

cnf(refute_0_661,plain,
    ( meet(meet(X_96,X_97),X_98) != meet(X_96,meet(X_97,X_98))
    | meet(meet(X_97,X_96),X_98) = meet(X_96,meet(X_97,X_98)) ),
    inference(resolve,[$cnf( $equal(meet(X_96,X_97),meet(X_97,X_96)) )],[refute_0_659,refute_0_660]) ).

cnf(refute_0_662,plain,
    meet(meet(X_97,X_96),X_98) = meet(X_96,meet(X_97,X_98)),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,X_97),X_98),meet(X_96,meet(X_97,X_98))) )],[refute_0_656,refute_0_661]) ).

cnf(refute_0_663,plain,
    meet(meet(X_97,X_96),X_98) = meet(X_97,meet(X_96,X_98)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_97)),bind(Y,$fot(X_96)),bind(Z,$fot(X_98))]]) ).

cnf(refute_0_664,plain,
    ( meet(meet(X_97,X_96),X_98) != meet(X_96,meet(X_97,X_98))
    | meet(meet(X_97,X_96),X_98) != meet(X_97,meet(X_96,X_98))
    | meet(X_97,meet(X_96,X_98)) = meet(X_96,meet(X_97,X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_97,X_96),X_98),meet(X_96,meet(X_97,X_98))) ),[0],$fot(meet(X_97,meet(X_96,X_98)))]]) ).

cnf(refute_0_665,plain,
    ( meet(meet(X_97,X_96),X_98) != meet(X_96,meet(X_97,X_98))
    | meet(X_97,meet(X_96,X_98)) = meet(X_96,meet(X_97,X_98)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_97,X_96),X_98),meet(X_97,meet(X_96,X_98))) )],[refute_0_663,refute_0_664]) ).

cnf(refute_0_666,plain,
    meet(X_97,meet(X_96,X_98)) = meet(X_96,meet(X_97,X_98)),
    inference(resolve,[$cnf( $equal(meet(meet(X_97,X_96),X_98),meet(X_96,meet(X_97,X_98))) )],[refute_0_662,refute_0_665]) ).

cnf(refute_0_667,plain,
    ( meet(X_97,meet(X_96,X_98)) != meet(X_96,meet(X_97,X_98))
    | meet(X_96,meet(X_97,X_98)) = meet(X_97,meet(X_96,X_98)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_97,meet(X_96,X_98)))),bind(Y0,$fot(meet(X_96,meet(X_97,X_98))))]]) ).

cnf(refute_0_668,plain,
    meet(X_96,meet(X_97,X_98)) = meet(X_97,meet(X_96,X_98)),
    inference(resolve,[$cnf( $equal(meet(X_97,meet(X_96,X_98)),meet(X_96,meet(X_97,X_98))) )],[refute_0_666,refute_0_667]) ).

cnf(refute_0_669,plain,
    meet(meet(X_96,a),meet(b,r2)) = meet(b,meet(meet(X_96,a),r2)),
    inference(subst,[],[refute_0_668:[bind(X_96,$fot(meet(X_96,a))),bind(X_97,$fot(b)),bind(X_98,$fot(r2))]]) ).

cnf(refute_0_670,plain,
    ( meet(b,meet(meet(X_96,a),r2)) != meet(b,meet(X_96,meet(a,r2)))
    | meet(meet(X_96,a),meet(b,r2)) != meet(b,meet(meet(X_96,a),r2))
    | meet(meet(X_96,a),meet(b,r2)) = meet(b,meet(X_96,meet(a,r2))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_96,a),meet(b,r2)))),bind(Y0,$fot(meet(b,meet(meet(X_96,a),r2)))),bind(Z0,$fot(meet(b,meet(X_96,meet(a,r2)))))]]) ).

cnf(refute_0_671,plain,
    ( meet(b,meet(meet(X_96,a),r2)) != meet(b,meet(X_96,meet(a,r2)))
    | meet(meet(X_96,a),meet(b,r2)) = meet(b,meet(X_96,meet(a,r2))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,a),meet(b,r2)),meet(b,meet(meet(X_96,a),r2))) )],[refute_0_669,refute_0_670]) ).

cnf(refute_0_672,plain,
    meet(meet(X_96,a),meet(b,r2)) = meet(b,meet(X_96,meet(a,r2))),
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(X_96,a),r2)),meet(b,meet(X_96,meet(a,r2)))) )],[refute_0_655,refute_0_671]) ).

cnf(refute_0_673,plain,
    ( meet(meet(X_96,a),meet(b,r2)) != meet(X_96,n0)
    | meet(meet(X_96,a),meet(b,r2)) != meet(b,meet(X_96,meet(a,r2)))
    | meet(b,meet(X_96,meet(a,r2))) = meet(X_96,n0) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,a),meet(b,r2)),meet(X_96,n0)) ),[0],$fot(meet(b,meet(X_96,meet(a,r2))))]]) ).

cnf(refute_0_674,plain,
    ( meet(meet(X_96,a),meet(b,r2)) != meet(X_96,n0)
    | meet(b,meet(X_96,meet(a,r2))) = meet(X_96,n0) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,a),meet(b,r2)),meet(b,meet(X_96,meet(a,r2)))) )],[refute_0_672,refute_0_673]) ).

cnf(refute_0_675,plain,
    meet(X_96,n0) = n0,
    inference(subst,[],[x_meet_0:[bind(X,$fot(X_96))]]) ).

cnf(refute_0_676,plain,
    ( meet(X_96,n0) != n0
    | meet(b,meet(X_96,meet(a,r2))) != meet(X_96,n0)
    | meet(b,meet(X_96,meet(a,r2))) = n0 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(X_96,meet(a,r2))),meet(X_96,n0)) ),[1],$fot(n0)]]) ).

cnf(refute_0_677,plain,
    ( meet(b,meet(X_96,meet(a,r2))) != meet(X_96,n0)
    | meet(b,meet(X_96,meet(a,r2))) = n0 ),
    inference(resolve,[$cnf( $equal(meet(X_96,n0),n0) )],[refute_0_675,refute_0_676]) ).

cnf(refute_0_678,plain,
    ( meet(meet(X_96,a),meet(b,r2)) != meet(X_96,n0)
    | meet(b,meet(X_96,meet(a,r2))) = n0 ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_96,meet(a,r2))),meet(X_96,n0)) )],[refute_0_674,refute_0_677]) ).

cnf(refute_0_679,plain,
    meet(b,meet(X_96,meet(a,r2))) = n0,
    inference(resolve,[$cnf( $equal(meet(meet(X_96,a),meet(b,r2)),meet(X_96,n0)) )],[refute_0_650,refute_0_678]) ).

cnf(refute_0_680,plain,
    meet(b,meet(meet(X,Y),meet(a,r2))) = n0,
    inference(subst,[],[refute_0_679:[bind(X_96,$fot(meet(X,Y)))]]) ).

cnf(refute_0_681,plain,
    meet(meet(X,Y),meet(a,r2)) = meet(X,meet(Y,meet(a,r2))),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(meet(a,r2)))]]) ).

cnf(refute_0_682,plain,
    ( meet(b,meet(meet(X,Y),meet(a,r2))) != n0
    | meet(meet(X,Y),meet(a,r2)) != meet(X,meet(Y,meet(a,r2)))
    | meet(b,meet(X,meet(Y,meet(a,r2)))) = n0 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(meet(X,Y),meet(a,r2))),n0) ),[0,1],$fot(meet(X,meet(Y,meet(a,r2))))]]) ).

cnf(refute_0_683,plain,
    ( meet(b,meet(meet(X,Y),meet(a,r2))) != n0
    | meet(b,meet(X,meet(Y,meet(a,r2)))) = n0 ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(a,r2)),meet(X,meet(Y,meet(a,r2)))) )],[refute_0_681,refute_0_682]) ).

cnf(refute_0_684,plain,
    meet(b,meet(X,meet(Y,meet(a,r2)))) = n0,
    inference(resolve,[$cnf( $equal(meet(b,meet(meet(X,Y),meet(a,r2))),n0) )],[refute_0_680,refute_0_683]) ).

cnf(refute_0_685,plain,
    ( join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,meet(b,meet(X,meet(Y,meet(a,r2))))))) != meet(X,meet(Y,meet(a,r2)))
    | meet(b,meet(X,meet(Y,meet(a,r2)))) != n0
    | join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) = meet(X,meet(Y,meet(a,r2))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,meet(b,meet(X,meet(Y,meet(a,r2))))))),meet(X,meet(Y,meet(a,r2)))) ),[0,1,1,1],$fot(n0)]]) ).

cnf(refute_0_686,plain,
    ( join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,meet(b,meet(X,meet(Y,meet(a,r2))))))) != meet(X,meet(Y,meet(a,r2)))
    | join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) = meet(X,meet(Y,meet(a,r2))) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X,meet(Y,meet(a,r2)))),n0) )],[refute_0_684,refute_0_685]) ).

cnf(refute_0_687,plain,
    join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) = meet(X,meet(Y,meet(a,r2))),
    inference(resolve,[$cnf( $equal(join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,meet(b,meet(X,meet(Y,meet(a,r2))))))),meet(X,meet(Y,meet(a,r2)))) )],[refute_0_628,refute_0_686]) ).

cnf(refute_0_688,plain,
    meet(meet(a,r2),meet(Y,X)) = meet(a,meet(r2,meet(Y,X))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(r2)),bind(Z,$fot(meet(Y,X)))]]) ).

cnf(refute_0_689,plain,
    join(n0,meet(meet(a,r2),meet(Y,X))) = meet(meet(a,r2),meet(Y,X)),
    inference(subst,[],[refute_0_59:[bind(X,$fot(meet(meet(a,r2),meet(Y,X))))]]) ).

cnf(refute_0_690,plain,
    ( join(n0,meet(meet(a,r2),meet(Y,X))) != meet(meet(a,r2),meet(Y,X))
    | meet(meet(a,r2),meet(Y,X)) != meet(a,meet(r2,meet(Y,X)))
    | join(n0,meet(meet(a,r2),meet(Y,X))) = meet(a,meet(r2,meet(Y,X))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(n0,meet(meet(a,r2),meet(Y,X))))),bind(Y0,$fot(meet(meet(a,r2),meet(Y,X)))),bind(Z0,$fot(meet(a,meet(r2,meet(Y,X)))))]]) ).

cnf(refute_0_691,plain,
    ( meet(meet(a,r2),meet(Y,X)) != meet(a,meet(r2,meet(Y,X)))
    | join(n0,meet(meet(a,r2),meet(Y,X))) = meet(a,meet(r2,meet(Y,X))) ),
    inference(resolve,[$cnf( $equal(join(n0,meet(meet(a,r2),meet(Y,X))),meet(meet(a,r2),meet(Y,X))) )],[refute_0_689,refute_0_690]) ).

cnf(refute_0_692,plain,
    join(n0,meet(meet(a,r2),meet(Y,X))) = meet(a,meet(r2,meet(Y,X))),
    inference(resolve,[$cnf( $equal(meet(meet(a,r2),meet(Y,X)),meet(a,meet(r2,meet(Y,X)))) )],[refute_0_688,refute_0_691]) ).

cnf(refute_0_693,plain,
    join(meet(X_66,Y),join(X_996,meet(Y,X_66))) = join(meet(X_66,Y),join(X_996,join(meet(X_66,Y),meet(Y,X_66)))),
    inference(subst,[],[refute_0_153:[bind(Y,$fot(X_996)),bind(X_68,$fot(meet(X_66,Y))),bind(X_70,$fot(meet(Y,X_66)))]]) ).

cnf(refute_0_694,plain,
    ( join(meet(X_66,Y),join(X_996,meet(Y,X_66))) != join(meet(X_66,Y),join(X_996,join(meet(X_66,Y),meet(Y,X_66))))
    | join(meet(X_66,Y),meet(Y,X_66)) != meet(X_66,Y)
    | join(meet(X_66,Y),join(X_996,meet(Y,X_66))) = join(meet(X_66,Y),join(X_996,meet(X_66,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_66,Y),join(X_996,meet(Y,X_66))),join(meet(X_66,Y),join(X_996,join(meet(X_66,Y),meet(Y,X_66))))) ),[1,1,1],$fot(meet(X_66,Y))]]) ).

cnf(refute_0_695,plain,
    ( join(meet(X_66,Y),join(X_996,meet(Y,X_66))) != join(meet(X_66,Y),join(X_996,join(meet(X_66,Y),meet(Y,X_66))))
    | join(meet(X_66,Y),join(X_996,meet(Y,X_66))) = join(meet(X_66,Y),join(X_996,meet(X_66,Y))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_66,Y),meet(Y,X_66)),meet(X_66,Y)) )],[refute_0_400,refute_0_694]) ).

cnf(refute_0_696,plain,
    join(meet(X_66,Y),join(X_996,meet(Y,X_66))) = join(meet(X_66,Y),join(X_996,meet(X_66,Y))),
    inference(resolve,[$cnf( $equal(join(meet(X_66,Y),join(X_996,meet(Y,X_66))),join(meet(X_66,Y),join(X_996,join(meet(X_66,Y),meet(Y,X_66))))) )],[refute_0_693,refute_0_695]) ).

cnf(refute_0_697,plain,
    join(join(X,meet(X_237,X_236)),meet(X_236,X_237)) = join(X,join(meet(X_237,X_236),meet(X_236,X_237))),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(X_237,X_236))),bind(Z,$fot(meet(X_236,X_237)))]]) ).

cnf(refute_0_698,plain,
    join(meet(X_237,X_236),meet(X_236,X_237)) = meet(X_237,X_236),
    inference(subst,[],[refute_0_400:[bind(Y,$fot(X_236)),bind(X_66,$fot(X_237))]]) ).

cnf(refute_0_699,plain,
    ( join(join(X,meet(X_237,X_236)),meet(X_236,X_237)) != join(X,join(meet(X_237,X_236),meet(X_236,X_237)))
    | join(meet(X_237,X_236),meet(X_236,X_237)) != meet(X_237,X_236)
    | join(join(X,meet(X_237,X_236)),meet(X_236,X_237)) = join(X,meet(X_237,X_236)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(X_237,X_236)),meet(X_236,X_237)),join(X,join(meet(X_237,X_236),meet(X_236,X_237)))) ),[1,1],$fot(meet(X_237,X_236))]]) ).

cnf(refute_0_700,plain,
    ( join(join(X,meet(X_237,X_236)),meet(X_236,X_237)) != join(X,join(meet(X_237,X_236),meet(X_236,X_237)))
    | join(join(X,meet(X_237,X_236)),meet(X_236,X_237)) = join(X,meet(X_237,X_236)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_237,X_236),meet(X_236,X_237)),meet(X_237,X_236)) )],[refute_0_698,refute_0_699]) ).

cnf(refute_0_701,plain,
    join(join(X,meet(X_237,X_236)),meet(X_236,X_237)) = join(X,meet(X_237,X_236)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(X_237,X_236)),meet(X_236,X_237)),join(X,join(meet(X_237,X_236),meet(X_236,X_237)))) )],[refute_0_697,refute_0_700]) ).

cnf(refute_0_702,plain,
    join(join(X,meet(X_237,X_236)),meet(X_236,X_237)) = join(meet(X_236,X_237),join(X,meet(X_237,X_236))),
    inference(subst,[],[refute_0_597:[bind(Y,$fot(meet(X_236,X_237))),bind(X_64,$fot(join(X,meet(X_237,X_236))))]]) ).

cnf(refute_0_703,plain,
    ( join(join(X,meet(X_237,X_236)),meet(X_236,X_237)) != join(X,meet(X_237,X_236))
    | join(join(X,meet(X_237,X_236)),meet(X_236,X_237)) != join(meet(X_236,X_237),join(X,meet(X_237,X_236)))
    | join(meet(X_236,X_237),join(X,meet(X_237,X_236))) = join(X,meet(X_237,X_236)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(X_237,X_236)),meet(X_236,X_237)),join(X,meet(X_237,X_236))) ),[0],$fot(join(meet(X_236,X_237),join(X,meet(X_237,X_236))))]]) ).

cnf(refute_0_704,plain,
    ( join(join(X,meet(X_237,X_236)),meet(X_236,X_237)) != join(X,meet(X_237,X_236))
    | join(meet(X_236,X_237),join(X,meet(X_237,X_236))) = join(X,meet(X_237,X_236)) ),
    inference(resolve,[$cnf( $equal(join(join(X,meet(X_237,X_236)),meet(X_236,X_237)),join(meet(X_236,X_237),join(X,meet(X_237,X_236)))) )],[refute_0_702,refute_0_703]) ).

cnf(refute_0_705,plain,
    join(meet(X_236,X_237),join(X,meet(X_237,X_236))) = join(X,meet(X_237,X_236)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(X_237,X_236)),meet(X_236,X_237)),join(X,meet(X_237,X_236))) )],[refute_0_701,refute_0_704]) ).

cnf(refute_0_706,plain,
    join(meet(X_66,Y),join(X_996,meet(Y,X_66))) = join(X_996,meet(Y,X_66)),
    inference(subst,[],[refute_0_705:[bind(X,$fot(X_996)),bind(X_236,$fot(X_66)),bind(X_237,$fot(Y))]]) ).

cnf(refute_0_707,plain,
    ( join(meet(X_66,Y),join(X_996,meet(Y,X_66))) != join(X_996,meet(Y,X_66))
    | join(meet(X_66,Y),join(X_996,meet(Y,X_66))) != join(meet(X_66,Y),join(X_996,meet(X_66,Y)))
    | join(X_996,meet(Y,X_66)) = join(meet(X_66,Y),join(X_996,meet(X_66,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_66,Y),join(X_996,meet(Y,X_66))),join(meet(X_66,Y),join(X_996,meet(X_66,Y)))) ),[0],$fot(join(X_996,meet(Y,X_66)))]]) ).

cnf(refute_0_708,plain,
    ( join(meet(X_66,Y),join(X_996,meet(Y,X_66))) != join(meet(X_66,Y),join(X_996,meet(X_66,Y)))
    | join(X_996,meet(Y,X_66)) = join(meet(X_66,Y),join(X_996,meet(X_66,Y))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_66,Y),join(X_996,meet(Y,X_66))),join(X_996,meet(Y,X_66))) )],[refute_0_706,refute_0_707]) ).

cnf(refute_0_709,plain,
    join(meet(X_66,Y),join(X_996,meet(X_66,Y))) = join(meet(X_66,Y),X_996),
    inference(subst,[],[refute_0_93:[bind(Y,$fot(X_996)),bind(X_63,$fot(meet(X_66,Y)))]]) ).

cnf(refute_0_710,plain,
    ( join(X_996,meet(Y,X_66)) != join(meet(X_66,Y),join(X_996,meet(X_66,Y)))
    | join(meet(X_66,Y),join(X_996,meet(X_66,Y))) != join(meet(X_66,Y),X_996)
    | join(X_996,meet(Y,X_66)) = join(meet(X_66,Y),X_996) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_996,meet(Y,X_66)),join(meet(X_66,Y),X_996)) ),[0],$fot(join(meet(X_66,Y),join(X_996,meet(X_66,Y))))]]) ).

cnf(refute_0_711,plain,
    ( join(X_996,meet(Y,X_66)) != join(meet(X_66,Y),join(X_996,meet(X_66,Y)))
    | join(X_996,meet(Y,X_66)) = join(meet(X_66,Y),X_996) ),
    inference(resolve,[$cnf( $equal(join(meet(X_66,Y),join(X_996,meet(X_66,Y))),join(meet(X_66,Y),X_996)) )],[refute_0_709,refute_0_710]) ).

cnf(refute_0_712,plain,
    ( join(meet(X_66,Y),join(X_996,meet(Y,X_66))) != join(meet(X_66,Y),join(X_996,meet(X_66,Y)))
    | join(X_996,meet(Y,X_66)) = join(meet(X_66,Y),X_996) ),
    inference(resolve,[$cnf( $equal(join(X_996,meet(Y,X_66)),join(meet(X_66,Y),join(X_996,meet(X_66,Y)))) )],[refute_0_708,refute_0_711]) ).

cnf(refute_0_713,plain,
    join(X_996,meet(Y,X_66)) = join(meet(X_66,Y),X_996),
    inference(resolve,[$cnf( $equal(join(meet(X_66,Y),join(X_996,meet(Y,X_66))),join(meet(X_66,Y),join(X_996,meet(X_66,Y)))) )],[refute_0_696,refute_0_712]) ).

cnf(refute_0_714,plain,
    join(X_996,meet(meet(X_1006,X_1007),X_66)) = join(meet(X_66,meet(X_1006,X_1007)),X_996),
    inference(subst,[],[refute_0_713:[bind(Y,$fot(meet(X_1006,X_1007)))]]) ).

cnf(refute_0_715,plain,
    meet(X_67,meet(X_67,meet(X_278,X_276))) = meet(X_67,meet(X_278,X_276)),
    inference(subst,[],[refute_0_574:[bind(X_66,$fot(meet(X_278,X_276)))]]) ).

cnf(refute_0_716,plain,
    meet(X,meet(X_96,X_97)) = meet(meet(X_96,X_97),X),
    inference(subst,[],[commutativity_of_meet:[bind(Y,$fot(meet(X_96,X_97)))]]) ).

cnf(refute_0_717,plain,
    ( meet(X,meet(X_96,X_97)) != meet(meet(X_96,X_97),X)
    | meet(meet(X_96,X_97),X) != meet(X_96,meet(X_97,X))
    | meet(X,meet(X_96,X_97)) = meet(X_96,meet(X_97,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X,meet(X_96,X_97)),meet(X_96,meet(X_97,X))) ),[0],$fot(meet(meet(X_96,X_97),X))]]) ).

cnf(refute_0_718,plain,
    ( meet(X,meet(X_96,X_97)) != meet(meet(X_96,X_97),X)
    | meet(X,meet(X_96,X_97)) = meet(X_96,meet(X_97,X)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,X_97),X),meet(X_96,meet(X_97,X))) )],[refute_0_333,refute_0_717]) ).

cnf(refute_0_719,plain,
    meet(X,meet(X_96,X_97)) = meet(X_96,meet(X_97,X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_96,X_97)),meet(meet(X_96,X_97),X)) )],[refute_0_716,refute_0_718]) ).

cnf(refute_0_720,plain,
    meet(X_276,meet(X_67,X_278)) = meet(X_67,meet(X_278,X_276)),
    inference(subst,[],[refute_0_719:[bind(X,$fot(X_276)),bind(X_96,$fot(X_67)),bind(X_97,$fot(X_278))]]) ).

cnf(refute_0_721,plain,
    ( meet(X_276,meet(X_67,X_278)) != meet(X_67,meet(X_278,X_276))
    | meet(X_67,meet(X_278,X_276)) = meet(X_276,meet(X_67,X_278)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_276,meet(X_67,X_278)))),bind(Y0,$fot(meet(X_67,meet(X_278,X_276))))]]) ).

cnf(refute_0_722,plain,
    meet(X_67,meet(X_278,X_276)) = meet(X_276,meet(X_67,X_278)),
    inference(resolve,[$cnf( $equal(meet(X_276,meet(X_67,X_278)),meet(X_67,meet(X_278,X_276))) )],[refute_0_720,refute_0_721]) ).

cnf(refute_0_723,plain,
    ( meet(X_67,meet(X_278,X_276)) != meet(X_276,meet(X_67,X_278))
    | meet(X_67,meet(X_67,meet(X_278,X_276))) != meet(X_67,meet(X_278,X_276))
    | meet(X_67,meet(X_276,meet(X_67,X_278))) = meet(X_67,meet(X_278,X_276)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_67,meet(X_67,meet(X_278,X_276))),meet(X_67,meet(X_278,X_276))) ),[0,1],$fot(meet(X_276,meet(X_67,X_278)))]]) ).

cnf(refute_0_724,plain,
    ( meet(X_67,meet(X_67,meet(X_278,X_276))) != meet(X_67,meet(X_278,X_276))
    | meet(X_67,meet(X_276,meet(X_67,X_278))) = meet(X_67,meet(X_278,X_276)) ),
    inference(resolve,[$cnf( $equal(meet(X_67,meet(X_278,X_276)),meet(X_276,meet(X_67,X_278))) )],[refute_0_722,refute_0_723]) ).

cnf(refute_0_725,plain,
    meet(X_67,meet(X_276,meet(X_67,X_278))) = meet(X_67,meet(X_278,X_276)),
    inference(resolve,[$cnf( $equal(meet(X_67,meet(X_67,meet(X_278,X_276))),meet(X_67,meet(X_278,X_276))) )],[refute_0_715,refute_0_724]) ).

cnf(refute_0_726,plain,
    ( meet(X_96,meet(Y,X_98)) != meet(X_96,meet(Y,meet(X_96,X_98)))
    | meet(X_96,meet(Y,meet(X_96,X_98))) = meet(X_96,meet(Y,X_98)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_96,meet(Y,X_98)))),bind(Y0,$fot(meet(X_96,meet(Y,meet(X_96,X_98)))))]]) ).

cnf(refute_0_727,plain,
    meet(X_96,meet(Y,meet(X_96,X_98))) = meet(X_96,meet(Y,X_98)),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(Y,X_98)),meet(X_96,meet(Y,meet(X_96,X_98)))) )],[refute_0_522,refute_0_726]) ).

cnf(refute_0_728,plain,
    meet(X_67,meet(X_276,meet(X_67,X_278))) = meet(X_67,meet(X_276,X_278)),
    inference(subst,[],[refute_0_727:[bind(Y,$fot(X_276)),bind(X_96,$fot(X_67)),bind(X_98,$fot(X_278))]]) ).

cnf(refute_0_729,plain,
    ( meet(X_67,meet(X_276,meet(X_67,X_278))) != meet(X_67,meet(X_276,X_278))
    | meet(X_67,meet(X_276,meet(X_67,X_278))) != meet(X_67,meet(X_278,X_276))
    | meet(X_67,meet(X_276,X_278)) = meet(X_67,meet(X_278,X_276)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_67,meet(X_276,meet(X_67,X_278))),meet(X_67,meet(X_278,X_276))) ),[0],$fot(meet(X_67,meet(X_276,X_278)))]]) ).

cnf(refute_0_730,plain,
    ( meet(X_67,meet(X_276,meet(X_67,X_278))) != meet(X_67,meet(X_278,X_276))
    | meet(X_67,meet(X_276,X_278)) = meet(X_67,meet(X_278,X_276)) ),
    inference(resolve,[$cnf( $equal(meet(X_67,meet(X_276,meet(X_67,X_278))),meet(X_67,meet(X_276,X_278))) )],[refute_0_728,refute_0_729]) ).

cnf(refute_0_731,plain,
    meet(X_67,meet(X_276,X_278)) = meet(X_67,meet(X_278,X_276)),
    inference(resolve,[$cnf( $equal(meet(X_67,meet(X_276,meet(X_67,X_278))),meet(X_67,meet(X_278,X_276))) )],[refute_0_725,refute_0_730]) ).

cnf(refute_0_732,plain,
    meet(X_66,meet(X_1006,X_1007)) = meet(X_66,meet(X_1007,X_1006)),
    inference(subst,[],[refute_0_731:[bind(X_276,$fot(X_1006)),bind(X_278,$fot(X_1007)),bind(X_67,$fot(X_66))]]) ).

cnf(refute_0_733,plain,
    ( join(X_996,meet(meet(X_1006,X_1007),X_66)) != join(meet(X_66,meet(X_1006,X_1007)),X_996)
    | meet(X_66,meet(X_1006,X_1007)) != meet(X_66,meet(X_1007,X_1006))
    | join(X_996,meet(meet(X_1006,X_1007),X_66)) = join(meet(X_66,meet(X_1007,X_1006)),X_996) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_996,meet(meet(X_1006,X_1007),X_66)),join(meet(X_66,meet(X_1006,X_1007)),X_996)) ),[1,0],$fot(meet(X_66,meet(X_1007,X_1006)))]]) ).

cnf(refute_0_734,plain,
    ( join(X_996,meet(meet(X_1006,X_1007),X_66)) != join(meet(X_66,meet(X_1006,X_1007)),X_996)
    | join(X_996,meet(meet(X_1006,X_1007),X_66)) = join(meet(X_66,meet(X_1007,X_1006)),X_996) ),
    inference(resolve,[$cnf( $equal(meet(X_66,meet(X_1006,X_1007)),meet(X_66,meet(X_1007,X_1006))) )],[refute_0_732,refute_0_733]) ).

cnf(refute_0_735,plain,
    join(X_996,meet(meet(X_1006,X_1007),X_66)) = join(meet(X_66,meet(X_1007,X_1006)),X_996),
    inference(resolve,[$cnf( $equal(join(X_996,meet(meet(X_1006,X_1007),X_66)),join(meet(X_66,meet(X_1006,X_1007)),X_996)) )],[refute_0_714,refute_0_734]) ).

cnf(refute_0_736,plain,
    meet(meet(X_1006,X_1007),X_66) = meet(X_1006,meet(X_1007,X_66)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_1006)),bind(Y,$fot(X_1007)),bind(Z,$fot(X_66))]]) ).

cnf(refute_0_737,plain,
    join(X_996,meet(meet(X_1006,X_1007),X_66)) = join(X_996,meet(meet(X_1006,X_1007),X_66)),
    introduced(tautology,[refl,[$fot(join(X_996,meet(meet(X_1006,X_1007),X_66)))]]) ).

cnf(refute_0_738,plain,
    ( join(X_996,meet(meet(X_1006,X_1007),X_66)) != join(X_996,meet(meet(X_1006,X_1007),X_66))
    | meet(meet(X_1006,X_1007),X_66) != meet(X_1006,meet(X_1007,X_66))
    | join(X_996,meet(meet(X_1006,X_1007),X_66)) = join(X_996,meet(X_1006,meet(X_1007,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_996,meet(meet(X_1006,X_1007),X_66)),join(X_996,meet(meet(X_1006,X_1007),X_66))) ),[1,1],$fot(meet(X_1006,meet(X_1007,X_66)))]]) ).

cnf(refute_0_739,plain,
    ( meet(meet(X_1006,X_1007),X_66) != meet(X_1006,meet(X_1007,X_66))
    | join(X_996,meet(meet(X_1006,X_1007),X_66)) = join(X_996,meet(X_1006,meet(X_1007,X_66))) ),
    inference(resolve,[$cnf( $equal(join(X_996,meet(meet(X_1006,X_1007),X_66)),join(X_996,meet(meet(X_1006,X_1007),X_66))) )],[refute_0_737,refute_0_738]) ).

cnf(refute_0_740,plain,
    join(X_996,meet(meet(X_1006,X_1007),X_66)) = join(X_996,meet(X_1006,meet(X_1007,X_66))),
    inference(resolve,[$cnf( $equal(meet(meet(X_1006,X_1007),X_66),meet(X_1006,meet(X_1007,X_66))) )],[refute_0_736,refute_0_739]) ).

cnf(refute_0_741,plain,
    ( join(X_996,meet(meet(X_1006,X_1007),X_66)) != join(X_996,meet(X_1006,meet(X_1007,X_66)))
    | join(X_996,meet(meet(X_1006,X_1007),X_66)) != join(meet(X_66,meet(X_1007,X_1006)),X_996)
    | join(X_996,meet(X_1006,meet(X_1007,X_66))) = join(meet(X_66,meet(X_1007,X_1006)),X_996) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_996,meet(meet(X_1006,X_1007),X_66)),join(meet(X_66,meet(X_1007,X_1006)),X_996)) ),[0],$fot(join(X_996,meet(X_1006,meet(X_1007,X_66))))]]) ).

cnf(refute_0_742,plain,
    ( join(X_996,meet(meet(X_1006,X_1007),X_66)) != join(meet(X_66,meet(X_1007,X_1006)),X_996)
    | join(X_996,meet(X_1006,meet(X_1007,X_66))) = join(meet(X_66,meet(X_1007,X_1006)),X_996) ),
    inference(resolve,[$cnf( $equal(join(X_996,meet(meet(X_1006,X_1007),X_66)),join(X_996,meet(X_1006,meet(X_1007,X_66)))) )],[refute_0_740,refute_0_741]) ).

cnf(refute_0_743,plain,
    join(X_996,meet(X_1006,meet(X_1007,X_66))) = join(meet(X_66,meet(X_1007,X_1006)),X_996),
    inference(resolve,[$cnf( $equal(join(X_996,meet(meet(X_1006,X_1007),X_66)),join(meet(X_66,meet(X_1007,X_1006)),X_996)) )],[refute_0_735,refute_0_742]) ).

cnf(refute_0_744,plain,
    ( join(X_996,meet(X_1006,meet(X_1007,X_66))) != join(meet(X_66,meet(X_1007,X_1006)),X_996)
    | join(meet(X_66,meet(X_1007,X_1006)),X_996) = join(X_996,meet(X_1006,meet(X_1007,X_66))) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_996,meet(X_1006,meet(X_1007,X_66))))),bind(Y0,$fot(join(meet(X_66,meet(X_1007,X_1006)),X_996)))]]) ).

cnf(refute_0_745,plain,
    join(meet(X_66,meet(X_1007,X_1006)),X_996) = join(X_996,meet(X_1006,meet(X_1007,X_66))),
    inference(resolve,[$cnf( $equal(join(X_996,meet(X_1006,meet(X_1007,X_66))),join(meet(X_66,meet(X_1007,X_1006)),X_996)) )],[refute_0_743,refute_0_744]) ).

cnf(refute_0_746,plain,
    join(meet(X,meet(Y,meet(a,r2))),n0) = join(n0,meet(meet(a,r2),meet(Y,X))),
    inference(subst,[],[refute_0_745:[bind(X_1006,$fot(meet(a,r2))),bind(X_1007,$fot(Y)),bind(X_66,$fot(X)),bind(X_996,$fot(n0))]]) ).

cnf(refute_0_747,plain,
    ( join(meet(X,meet(Y,meet(a,r2))),n0) != join(n0,meet(meet(a,r2),meet(Y,X)))
    | join(n0,meet(meet(a,r2),meet(Y,X))) != meet(a,meet(r2,meet(Y,X)))
    | join(meet(X,meet(Y,meet(a,r2))),n0) = meet(a,meet(r2,meet(Y,X))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(X,meet(Y,meet(a,r2))),n0))),bind(Y0,$fot(join(n0,meet(meet(a,r2),meet(Y,X))))),bind(Z0,$fot(meet(a,meet(r2,meet(Y,X)))))]]) ).

cnf(refute_0_748,plain,
    ( join(n0,meet(meet(a,r2),meet(Y,X))) != meet(a,meet(r2,meet(Y,X)))
    | join(meet(X,meet(Y,meet(a,r2))),n0) = meet(a,meet(r2,meet(Y,X))) ),
    inference(resolve,[$cnf( $equal(join(meet(X,meet(Y,meet(a,r2))),n0),join(n0,meet(meet(a,r2),meet(Y,X)))) )],[refute_0_746,refute_0_747]) ).

cnf(refute_0_749,plain,
    join(meet(X,meet(Y,meet(a,r2))),n0) = meet(a,meet(r2,meet(Y,X))),
    inference(resolve,[$cnf( $equal(join(n0,meet(meet(a,r2),meet(Y,X))),meet(a,meet(r2,meet(Y,X)))) )],[refute_0_692,refute_0_748]) ).

cnf(refute_0_750,plain,
    meet(X_1059,n0) = n0,
    inference(subst,[],[x_meet_0:[bind(X,$fot(X_1059))]]) ).

cnf(refute_0_751,plain,
    meet(X_1060,n0) = n0,
    inference(subst,[],[x_meet_0:[bind(X,$fot(X_1060))]]) ).

cnf(refute_0_752,plain,
    meet(X_1059,meet(X_1060,n0)) = meet(X_1059,meet(X_1060,n0)),
    introduced(tautology,[refl,[$fot(meet(X_1059,meet(X_1060,n0)))]]) ).

cnf(refute_0_753,plain,
    ( meet(X_1059,meet(X_1060,n0)) != meet(X_1059,meet(X_1060,n0))
    | meet(X_1060,n0) != n0
    | meet(X_1059,meet(X_1060,n0)) = meet(X_1059,n0) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_1059,meet(X_1060,n0)),meet(X_1059,meet(X_1060,n0))) ),[1,1],$fot(n0)]]) ).

cnf(refute_0_754,plain,
    ( meet(X_1060,n0) != n0
    | meet(X_1059,meet(X_1060,n0)) = meet(X_1059,n0) ),
    inference(resolve,[$cnf( $equal(meet(X_1059,meet(X_1060,n0)),meet(X_1059,meet(X_1060,n0))) )],[refute_0_752,refute_0_753]) ).

cnf(refute_0_755,plain,
    meet(X_1059,meet(X_1060,n0)) = meet(X_1059,n0),
    inference(resolve,[$cnf( $equal(meet(X_1060,n0),n0) )],[refute_0_751,refute_0_754]) ).

cnf(refute_0_756,plain,
    ( meet(X_1059,meet(X_1060,n0)) != meet(X_1059,n0)
    | meet(X_1059,n0) != n0
    | meet(X_1059,meet(X_1060,n0)) = n0 ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(X_1059,meet(X_1060,n0)))),bind(Y0,$fot(meet(X_1059,n0))),bind(Z0,$fot(n0))]]) ).

cnf(refute_0_757,plain,
    ( meet(X_1059,n0) != n0
    | meet(X_1059,meet(X_1060,n0)) = n0 ),
    inference(resolve,[$cnf( $equal(meet(X_1059,meet(X_1060,n0)),meet(X_1059,n0)) )],[refute_0_755,refute_0_756]) ).

cnf(refute_0_758,plain,
    meet(X_1059,meet(X_1060,n0)) = n0,
    inference(resolve,[$cnf( $equal(meet(X_1059,n0),n0) )],[refute_0_750,refute_0_757]) ).

cnf(refute_0_759,plain,
    join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) = join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))),
    introduced(tautology,[refl,[$fot(join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))))]]) ).

cnf(refute_0_760,plain,
    ( join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) != join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0)))
    | meet(X_1059,meet(X_1060,n0)) != n0
    | join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) = join(meet(X,meet(Y,meet(a,r2))),n0) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))),join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0)))) ),[1,1],$fot(n0)]]) ).

cnf(refute_0_761,plain,
    ( meet(X_1059,meet(X_1060,n0)) != n0
    | join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) = join(meet(X,meet(Y,meet(a,r2))),n0) ),
    inference(resolve,[$cnf( $equal(join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))),join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0)))) )],[refute_0_759,refute_0_760]) ).

cnf(refute_0_762,plain,
    join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) = join(meet(X,meet(Y,meet(a,r2))),n0),
    inference(resolve,[$cnf( $equal(meet(X_1059,meet(X_1060,n0)),n0) )],[refute_0_758,refute_0_761]) ).

cnf(refute_0_763,plain,
    ( join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) != join(meet(X,meet(Y,meet(a,r2))),n0)
    | join(meet(X,meet(Y,meet(a,r2))),n0) != meet(a,meet(r2,meet(Y,X)))
    | join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) = meet(a,meet(r2,meet(Y,X))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))))),bind(Y0,$fot(join(meet(X,meet(Y,meet(a,r2))),n0))),bind(Z0,$fot(meet(a,meet(r2,meet(Y,X)))))]]) ).

cnf(refute_0_764,plain,
    ( join(meet(X,meet(Y,meet(a,r2))),n0) != meet(a,meet(r2,meet(Y,X)))
    | join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) = meet(a,meet(r2,meet(Y,X))) ),
    inference(resolve,[$cnf( $equal(join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))),join(meet(X,meet(Y,meet(a,r2))),n0)) )],[refute_0_762,refute_0_763]) ).

cnf(refute_0_765,plain,
    join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) = meet(a,meet(r2,meet(Y,X))),
    inference(resolve,[$cnf( $equal(join(meet(X,meet(Y,meet(a,r2))),n0),meet(a,meet(r2,meet(Y,X)))) )],[refute_0_749,refute_0_764]) ).

cnf(refute_0_766,plain,
    ( join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) != meet(X,meet(Y,meet(a,r2)))
    | join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) != meet(a,meet(r2,meet(Y,X)))
    | meet(a,meet(r2,meet(Y,X))) = meet(X,meet(Y,meet(a,r2))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))),meet(X,meet(Y,meet(a,r2)))) ),[0],$fot(meet(a,meet(r2,meet(Y,X))))]]) ).

cnf(refute_0_767,plain,
    ( join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))) != meet(X,meet(Y,meet(a,r2)))
    | meet(a,meet(r2,meet(Y,X))) = meet(X,meet(Y,meet(a,r2))) ),
    inference(resolve,[$cnf( $equal(join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))),meet(a,meet(r2,meet(Y,X)))) )],[refute_0_765,refute_0_766]) ).

cnf(refute_0_768,plain,
    meet(a,meet(r2,meet(Y,X))) = meet(X,meet(Y,meet(a,r2))),
    inference(resolve,[$cnf( $equal(join(meet(X,meet(Y,meet(a,r2))),meet(X_1059,meet(X_1060,n0))),meet(X,meet(Y,meet(a,r2)))) )],[refute_0_687,refute_0_767]) ).

cnf(refute_0_769,plain,
    meet(a,meet(r2,meet(X_1921,join(a,b)))) = meet(join(a,b),meet(X_1921,meet(a,r2))),
    inference(subst,[],[refute_0_768:[bind(X,$fot(join(a,b))),bind(Y,$fot(X_1921))]]) ).

cnf(refute_0_770,plain,
    ( meet(a,meet(r2,meet(X_1921,join(a,b)))) != meet(join(a,b),meet(X_1921,meet(a,r2)))
    | meet(join(a,b),meet(X_1921,meet(a,r2))) = meet(a,meet(r2,meet(X_1921,join(a,b)))) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(a,meet(r2,meet(X_1921,join(a,b)))))),bind(Y0,$fot(meet(join(a,b),meet(X_1921,meet(a,r2)))))]]) ).

cnf(refute_0_771,plain,
    meet(join(a,b),meet(X_1921,meet(a,r2))) = meet(a,meet(r2,meet(X_1921,join(a,b)))),
    inference(resolve,[$cnf( $equal(meet(a,meet(r2,meet(X_1921,join(a,b)))),meet(join(a,b),meet(X_1921,meet(a,r2)))) )],[refute_0_769,refute_0_770]) ).

cnf(refute_0_772,plain,
    ( meet(b,join(r1,meet(join(a,b),meet(X_1921,meet(a,r2))))) != meet(b,meet(X_1921,meet(a,r2)))
    | meet(join(a,b),meet(X_1921,meet(a,r2))) != meet(a,meet(r2,meet(X_1921,join(a,b))))
    | meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) = meet(b,meet(X_1921,meet(a,r2))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,join(r1,meet(join(a,b),meet(X_1921,meet(a,r2))))),meet(b,meet(X_1921,meet(a,r2)))) ),[0,1,1],$fot(meet(a,meet(r2,meet(X_1921,join(a,b)))))]]) ).

cnf(refute_0_773,plain,
    ( meet(b,join(r1,meet(join(a,b),meet(X_1921,meet(a,r2))))) != meet(b,meet(X_1921,meet(a,r2)))
    | meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) = meet(b,meet(X_1921,meet(a,r2))) ),
    inference(resolve,[$cnf( $equal(meet(join(a,b),meet(X_1921,meet(a,r2))),meet(a,meet(r2,meet(X_1921,join(a,b))))) )],[refute_0_771,refute_0_772]) ).

cnf(refute_0_774,plain,
    meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) = meet(b,meet(X_1921,meet(a,r2))),
    inference(resolve,[$cnf( $equal(meet(b,join(r1,meet(join(a,b),meet(X_1921,meet(a,r2))))),meet(b,meet(X_1921,meet(a,r2)))) )],[refute_0_619,refute_0_773]) ).

cnf(refute_0_775,plain,
    meet(meet(X_96,join(X_96,Y)),X_98) = meet(X_96,meet(join(X_96,Y),X_98)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(join(X_96,Y))),bind(Z,$fot(X_98))]]) ).

cnf(refute_0_776,plain,
    meet(X_96,join(X_96,Y)) = X_96,
    inference(subst,[],[absorption1:[bind(X,$fot(X_96))]]) ).

cnf(refute_0_777,plain,
    ( meet(X_96,join(X_96,Y)) != X_96
    | meet(meet(X_96,join(X_96,Y)),X_98) != meet(X_96,meet(join(X_96,Y),X_98))
    | meet(X_96,X_98) = meet(X_96,meet(join(X_96,Y),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,join(X_96,Y)),X_98),meet(X_96,meet(join(X_96,Y),X_98))) ),[0,0],$fot(X_96)]]) ).

cnf(refute_0_778,plain,
    ( meet(meet(X_96,join(X_96,Y)),X_98) != meet(X_96,meet(join(X_96,Y),X_98))
    | meet(X_96,X_98) = meet(X_96,meet(join(X_96,Y),X_98)) ),
    inference(resolve,[$cnf( $equal(meet(X_96,join(X_96,Y)),X_96) )],[refute_0_776,refute_0_777]) ).

cnf(refute_0_779,plain,
    meet(X_96,X_98) = meet(X_96,meet(join(X_96,Y),X_98)),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,join(X_96,Y)),X_98),meet(X_96,meet(join(X_96,Y),X_98))) )],[refute_0_775,refute_0_778]) ).

cnf(refute_0_780,plain,
    meet(X_521,meet(X_96,X_97)) = meet(X_521,meet(join(X_521,X_520),meet(X_96,X_97))),
    inference(subst,[],[refute_0_779:[bind(Y,$fot(X_520)),bind(X_96,$fot(X_521)),bind(X_98,$fot(meet(X_96,X_97)))]]) ).

cnf(refute_0_781,plain,
    meet(join(X_521,X_520),meet(X_96,X_97)) = meet(X_96,meet(X_97,join(X_521,X_520))),
    inference(subst,[],[refute_0_719:[bind(X,$fot(join(X_521,X_520)))]]) ).

cnf(refute_0_782,plain,
    ( meet(X_521,meet(X_96,X_97)) != meet(X_521,meet(join(X_521,X_520),meet(X_96,X_97)))
    | meet(join(X_521,X_520),meet(X_96,X_97)) != meet(X_96,meet(X_97,join(X_521,X_520)))
    | meet(X_521,meet(X_96,X_97)) = meet(X_521,meet(X_96,meet(X_97,join(X_521,X_520)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_521,meet(X_96,X_97)),meet(X_521,meet(join(X_521,X_520),meet(X_96,X_97)))) ),[1,1],$fot(meet(X_96,meet(X_97,join(X_521,X_520))))]]) ).

cnf(refute_0_783,plain,
    ( meet(X_521,meet(X_96,X_97)) != meet(X_521,meet(join(X_521,X_520),meet(X_96,X_97)))
    | meet(X_521,meet(X_96,X_97)) = meet(X_521,meet(X_96,meet(X_97,join(X_521,X_520)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_521,X_520),meet(X_96,X_97)),meet(X_96,meet(X_97,join(X_521,X_520)))) )],[refute_0_781,refute_0_782]) ).

cnf(refute_0_784,plain,
    meet(X_521,meet(X_96,X_97)) = meet(X_521,meet(X_96,meet(X_97,join(X_521,X_520)))),
    inference(resolve,[$cnf( $equal(meet(X_521,meet(X_96,X_97)),meet(X_521,meet(join(X_521,X_520),meet(X_96,X_97)))) )],[refute_0_780,refute_0_783]) ).

cnf(refute_0_785,plain,
    ( meet(X_521,meet(X_96,X_97)) != meet(X_521,meet(X_96,meet(X_97,join(X_521,X_520))))
    | meet(X_521,meet(X_96,meet(X_97,join(X_521,X_520)))) = meet(X_521,meet(X_96,X_97)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_521,meet(X_96,X_97)))),bind(Y0,$fot(meet(X_521,meet(X_96,meet(X_97,join(X_521,X_520))))))]]) ).

cnf(refute_0_786,plain,
    meet(X_521,meet(X_96,meet(X_97,join(X_521,X_520)))) = meet(X_521,meet(X_96,X_97)),
    inference(resolve,[$cnf( $equal(meet(X_521,meet(X_96,X_97)),meet(X_521,meet(X_96,meet(X_97,join(X_521,X_520))))) )],[refute_0_784,refute_0_785]) ).

cnf(refute_0_787,plain,
    meet(a,meet(r2,meet(X_1921,join(a,b)))) = meet(a,meet(r2,X_1921)),
    inference(subst,[],[refute_0_786:[bind(X_520,$fot(b)),bind(X_521,$fot(a)),bind(X_96,$fot(r2)),bind(X_97,$fot(X_1921))]]) ).

cnf(refute_0_788,plain,
    join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))) = join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))),
    introduced(tautology,[refl,[$fot(join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))))]]) ).

cnf(refute_0_789,plain,
    ( join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))) != join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))
    | meet(a,meet(r2,meet(X_1921,join(a,b)))) != meet(a,meet(r2,X_1921))
    | join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))) = join(r1,meet(a,meet(r2,X_1921))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))),join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) ),[1,1],$fot(meet(a,meet(r2,X_1921)))]]) ).

cnf(refute_0_790,plain,
    ( meet(a,meet(r2,meet(X_1921,join(a,b)))) != meet(a,meet(r2,X_1921))
    | join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))) = join(r1,meet(a,meet(r2,X_1921))) ),
    inference(resolve,[$cnf( $equal(join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))),join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) )],[refute_0_788,refute_0_789]) ).

cnf(refute_0_791,plain,
    join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))) = join(r1,meet(a,meet(r2,X_1921))),
    inference(resolve,[$cnf( $equal(meet(a,meet(r2,meet(X_1921,join(a,b)))),meet(a,meet(r2,X_1921))) )],[refute_0_787,refute_0_790]) ).

cnf(refute_0_792,plain,
    meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) = meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))),
    introduced(tautology,[refl,[$fot(meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))))]]) ).

cnf(refute_0_793,plain,
    ( join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))) != join(r1,meet(a,meet(r2,X_1921)))
    | meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) != meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))))
    | meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) = meet(b,join(r1,meet(a,meet(r2,X_1921)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))),meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))))) ),[1,1],$fot(join(r1,meet(a,meet(r2,X_1921))))]]) ).

cnf(refute_0_794,plain,
    ( join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))) != join(r1,meet(a,meet(r2,X_1921)))
    | meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) = meet(b,join(r1,meet(a,meet(r2,X_1921)))) ),
    inference(resolve,[$cnf( $equal(meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))),meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))))) )],[refute_0_792,refute_0_793]) ).

cnf(refute_0_795,plain,
    meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) = meet(b,join(r1,meet(a,meet(r2,X_1921)))),
    inference(resolve,[$cnf( $equal(join(r1,meet(a,meet(r2,meet(X_1921,join(a,b))))),join(r1,meet(a,meet(r2,X_1921)))) )],[refute_0_791,refute_0_794]) ).

cnf(refute_0_796,plain,
    ( meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) != meet(b,join(r1,meet(a,meet(r2,X_1921))))
    | meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) != meet(b,meet(X_1921,meet(a,r2)))
    | meet(b,join(r1,meet(a,meet(r2,X_1921)))) = meet(b,meet(X_1921,meet(a,r2))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))),meet(b,meet(X_1921,meet(a,r2)))) ),[0],$fot(meet(b,join(r1,meet(a,meet(r2,X_1921)))))]]) ).

cnf(refute_0_797,plain,
    ( meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) != meet(b,meet(X_1921,meet(a,r2)))
    | meet(b,join(r1,meet(a,meet(r2,X_1921)))) = meet(b,meet(X_1921,meet(a,r2))) ),
    inference(resolve,[$cnf( $equal(meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))),meet(b,join(r1,meet(a,meet(r2,X_1921))))) )],[refute_0_795,refute_0_796]) ).

cnf(refute_0_798,plain,
    meet(meet(X_96,b),meet(a,r2)) = meet(X_96,meet(b,meet(a,r2))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(b)),bind(Z,$fot(meet(a,r2)))]]) ).

cnf(refute_0_799,plain,
    meet(meet(b,r2),a) = meet(a,meet(b,r2)),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(meet(b,r2))),bind(Y,$fot(a))]]) ).

cnf(refute_0_800,plain,
    ( meet(a,meet(b,r2)) != n0
    | meet(meet(b,r2),a) != meet(a,meet(b,r2))
    | meet(meet(b,r2),a) = n0 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,r2),a),meet(a,meet(b,r2))) ),[1],$fot(n0)]]) ).

cnf(refute_0_801,plain,
    ( meet(meet(b,r2),a) != meet(a,meet(b,r2))
    | meet(meet(b,r2),a) = n0 ),
    inference(resolve,[$cnf( $equal(meet(a,meet(b,r2)),n0) )],[refute_0_647,refute_0_800]) ).

cnf(refute_0_802,plain,
    meet(meet(b,r2),a) = n0,
    inference(resolve,[$cnf( $equal(meet(meet(b,r2),a),meet(a,meet(b,r2))) )],[refute_0_799,refute_0_801]) ).

cnf(refute_0_803,plain,
    meet(b,meet(r2,a)) = meet(b,meet(r2,a)),
    introduced(tautology,[refl,[$fot(meet(b,meet(r2,a)))]]) ).

cnf(refute_0_804,plain,
    ( meet(b,meet(r2,a)) != meet(b,meet(r2,a))
    | meet(r2,a) != meet(a,r2)
    | meet(b,meet(r2,a)) = meet(b,meet(a,r2)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(r2,a)),meet(b,meet(r2,a))) ),[1,1],$fot(meet(a,r2))]]) ).

cnf(refute_0_805,plain,
    ( meet(r2,a) != meet(a,r2)
    | meet(b,meet(r2,a)) = meet(b,meet(a,r2)) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(r2,a)),meet(b,meet(r2,a))) )],[refute_0_803,refute_0_804]) ).

cnf(refute_0_806,plain,
    meet(b,meet(r2,a)) = meet(b,meet(a,r2)),
    inference(resolve,[$cnf( $equal(meet(r2,a),meet(a,r2)) )],[refute_0_14,refute_0_805]) ).

cnf(refute_0_807,plain,
    meet(meet(b,r2),a) = meet(b,meet(r2,a)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(b)),bind(Y,$fot(r2)),bind(Z,$fot(a))]]) ).

cnf(refute_0_808,plain,
    ( meet(b,meet(r2,a)) != meet(b,meet(a,r2))
    | meet(meet(b,r2),a) != meet(b,meet(r2,a))
    | meet(meet(b,r2),a) = meet(b,meet(a,r2)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(b,r2),a))),bind(Y0,$fot(meet(b,meet(r2,a)))),bind(Z0,$fot(meet(b,meet(a,r2))))]]) ).

cnf(refute_0_809,plain,
    ( meet(b,meet(r2,a)) != meet(b,meet(a,r2))
    | meet(meet(b,r2),a) = meet(b,meet(a,r2)) ),
    inference(resolve,[$cnf( $equal(meet(meet(b,r2),a),meet(b,meet(r2,a))) )],[refute_0_807,refute_0_808]) ).

cnf(refute_0_810,plain,
    meet(meet(b,r2),a) = meet(b,meet(a,r2)),
    inference(resolve,[$cnf( $equal(meet(b,meet(r2,a)),meet(b,meet(a,r2))) )],[refute_0_806,refute_0_809]) ).

cnf(refute_0_811,plain,
    ( meet(meet(b,r2),a) != meet(b,meet(a,r2))
    | meet(meet(b,r2),a) != n0
    | meet(b,meet(a,r2)) = n0 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(b,r2),a),n0) ),[0],$fot(meet(b,meet(a,r2)))]]) ).

cnf(refute_0_812,plain,
    ( meet(meet(b,r2),a) != n0
    | meet(b,meet(a,r2)) = n0 ),
    inference(resolve,[$cnf( $equal(meet(meet(b,r2),a),meet(b,meet(a,r2))) )],[refute_0_810,refute_0_811]) ).

cnf(refute_0_813,plain,
    meet(b,meet(a,r2)) = n0,
    inference(resolve,[$cnf( $equal(meet(meet(b,r2),a),n0) )],[refute_0_802,refute_0_812]) ).

cnf(refute_0_814,plain,
    ( meet(b,meet(a,r2)) != n0
    | meet(meet(X_96,b),meet(a,r2)) != meet(X_96,meet(b,meet(a,r2)))
    | meet(meet(X_96,b),meet(a,r2)) = meet(X_96,n0) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,b),meet(a,r2)),meet(X_96,meet(b,meet(a,r2)))) ),[1,1],$fot(n0)]]) ).

cnf(refute_0_815,plain,
    ( meet(meet(X_96,b),meet(a,r2)) != meet(X_96,meet(b,meet(a,r2)))
    | meet(meet(X_96,b),meet(a,r2)) = meet(X_96,n0) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(a,r2)),n0) )],[refute_0_813,refute_0_814]) ).

cnf(refute_0_816,plain,
    meet(meet(X_96,b),meet(a,r2)) = meet(X_96,n0),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,b),meet(a,r2)),meet(X_96,meet(b,meet(a,r2)))) )],[refute_0_798,refute_0_815]) ).

cnf(refute_0_817,plain,
    meet(meet(X_96,b),r2) = meet(X_96,meet(b,r2)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(b)),bind(Z,$fot(r2))]]) ).

cnf(refute_0_818,plain,
    meet(a,meet(meet(X_96,b),r2)) = meet(a,meet(meet(X_96,b),r2)),
    introduced(tautology,[refl,[$fot(meet(a,meet(meet(X_96,b),r2)))]]) ).

cnf(refute_0_819,plain,
    ( meet(a,meet(meet(X_96,b),r2)) != meet(a,meet(meet(X_96,b),r2))
    | meet(meet(X_96,b),r2) != meet(X_96,meet(b,r2))
    | meet(a,meet(meet(X_96,b),r2)) = meet(a,meet(X_96,meet(b,r2))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(meet(X_96,b),r2)),meet(a,meet(meet(X_96,b),r2))) ),[1,1],$fot(meet(X_96,meet(b,r2)))]]) ).

cnf(refute_0_820,plain,
    ( meet(meet(X_96,b),r2) != meet(X_96,meet(b,r2))
    | meet(a,meet(meet(X_96,b),r2)) = meet(a,meet(X_96,meet(b,r2))) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(meet(X_96,b),r2)),meet(a,meet(meet(X_96,b),r2))) )],[refute_0_818,refute_0_819]) ).

cnf(refute_0_821,plain,
    meet(a,meet(meet(X_96,b),r2)) = meet(a,meet(X_96,meet(b,r2))),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,b),r2),meet(X_96,meet(b,r2))) )],[refute_0_817,refute_0_820]) ).

cnf(refute_0_822,plain,
    meet(meet(X_96,b),meet(a,r2)) = meet(a,meet(meet(X_96,b),r2)),
    inference(subst,[],[refute_0_668:[bind(X_96,$fot(meet(X_96,b))),bind(X_97,$fot(a)),bind(X_98,$fot(r2))]]) ).

cnf(refute_0_823,plain,
    ( meet(a,meet(meet(X_96,b),r2)) != meet(a,meet(X_96,meet(b,r2)))
    | meet(meet(X_96,b),meet(a,r2)) != meet(a,meet(meet(X_96,b),r2))
    | meet(meet(X_96,b),meet(a,r2)) = meet(a,meet(X_96,meet(b,r2))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_96,b),meet(a,r2)))),bind(Y0,$fot(meet(a,meet(meet(X_96,b),r2)))),bind(Z0,$fot(meet(a,meet(X_96,meet(b,r2)))))]]) ).

cnf(refute_0_824,plain,
    ( meet(a,meet(meet(X_96,b),r2)) != meet(a,meet(X_96,meet(b,r2)))
    | meet(meet(X_96,b),meet(a,r2)) = meet(a,meet(X_96,meet(b,r2))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,b),meet(a,r2)),meet(a,meet(meet(X_96,b),r2))) )],[refute_0_822,refute_0_823]) ).

cnf(refute_0_825,plain,
    meet(meet(X_96,b),meet(a,r2)) = meet(a,meet(X_96,meet(b,r2))),
    inference(resolve,[$cnf( $equal(meet(a,meet(meet(X_96,b),r2)),meet(a,meet(X_96,meet(b,r2)))) )],[refute_0_821,refute_0_824]) ).

cnf(refute_0_826,plain,
    ( meet(meet(X_96,b),meet(a,r2)) != meet(X_96,n0)
    | meet(meet(X_96,b),meet(a,r2)) != meet(a,meet(X_96,meet(b,r2)))
    | meet(a,meet(X_96,meet(b,r2))) = meet(X_96,n0) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,b),meet(a,r2)),meet(X_96,n0)) ),[0],$fot(meet(a,meet(X_96,meet(b,r2))))]]) ).

cnf(refute_0_827,plain,
    ( meet(meet(X_96,b),meet(a,r2)) != meet(X_96,n0)
    | meet(a,meet(X_96,meet(b,r2))) = meet(X_96,n0) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,b),meet(a,r2)),meet(a,meet(X_96,meet(b,r2)))) )],[refute_0_825,refute_0_826]) ).

cnf(refute_0_828,plain,
    ( meet(X_96,n0) != n0
    | meet(a,meet(X_96,meet(b,r2))) != meet(X_96,n0)
    | meet(a,meet(X_96,meet(b,r2))) = n0 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(X_96,meet(b,r2))),meet(X_96,n0)) ),[1],$fot(n0)]]) ).

cnf(refute_0_829,plain,
    ( meet(a,meet(X_96,meet(b,r2))) != meet(X_96,n0)
    | meet(a,meet(X_96,meet(b,r2))) = n0 ),
    inference(resolve,[$cnf( $equal(meet(X_96,n0),n0) )],[refute_0_675,refute_0_828]) ).

cnf(refute_0_830,plain,
    ( meet(meet(X_96,b),meet(a,r2)) != meet(X_96,n0)
    | meet(a,meet(X_96,meet(b,r2))) = n0 ),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_96,meet(b,r2))),meet(X_96,n0)) )],[refute_0_827,refute_0_829]) ).

cnf(refute_0_831,plain,
    meet(a,meet(X_96,meet(b,r2))) = n0,
    inference(resolve,[$cnf( $equal(meet(meet(X_96,b),meet(a,r2)),meet(X_96,n0)) )],[refute_0_816,refute_0_830]) ).

cnf(refute_0_832,plain,
    meet(a,meet(X_1921,meet(b,r2))) = n0,
    inference(subst,[],[refute_0_831:[bind(X_96,$fot(X_1921))]]) ).

cnf(refute_0_833,plain,
    join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,meet(X_1118,Y)))) = meet(meet(X_1117,meet(X_1118,Y)),Y),
    inference(subst,[],[refute_0_400:[bind(X_66,$fot(meet(X_1117,meet(X_1118,Y))))]]) ).

cnf(refute_0_834,plain,
    meet(X_44,meet(meet(X_96,X_97),X_44)) = meet(X_44,meet(X_96,X_97)),
    inference(subst,[],[refute_0_396:[bind(Y,$fot(meet(X_96,X_97)))]]) ).

cnf(refute_0_835,plain,
    meet(meet(X_96,X_97),X_44) = meet(X_96,meet(X_97,X_44)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(X_97)),bind(Z,$fot(X_44))]]) ).

cnf(refute_0_836,plain,
    ( meet(X_44,meet(meet(X_96,X_97),X_44)) != meet(X_44,meet(X_96,X_97))
    | meet(meet(X_96,X_97),X_44) != meet(X_96,meet(X_97,X_44))
    | meet(X_44,meet(X_96,meet(X_97,X_44))) = meet(X_44,meet(X_96,X_97)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_44,meet(meet(X_96,X_97),X_44)),meet(X_44,meet(X_96,X_97))) ),[0,1],$fot(meet(X_96,meet(X_97,X_44)))]]) ).

cnf(refute_0_837,plain,
    ( meet(X_44,meet(meet(X_96,X_97),X_44)) != meet(X_44,meet(X_96,X_97))
    | meet(X_44,meet(X_96,meet(X_97,X_44))) = meet(X_44,meet(X_96,X_97)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,X_97),X_44),meet(X_96,meet(X_97,X_44))) )],[refute_0_835,refute_0_836]) ).

cnf(refute_0_838,plain,
    meet(X_44,meet(X_96,meet(X_97,X_44))) = meet(X_44,meet(X_96,X_97)),
    inference(resolve,[$cnf( $equal(meet(X_44,meet(meet(X_96,X_97),X_44)),meet(X_44,meet(X_96,X_97))) )],[refute_0_834,refute_0_837]) ).

cnf(refute_0_839,plain,
    meet(Y,meet(X_1117,meet(X_1118,Y))) = meet(Y,meet(X_1117,X_1118)),
    inference(subst,[],[refute_0_838:[bind(X_44,$fot(Y)),bind(X_96,$fot(X_1117)),bind(X_97,$fot(X_1118))]]) ).

cnf(refute_0_840,plain,
    ( join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,meet(X_1118,Y)))) != meet(meet(X_1117,meet(X_1118,Y)),Y)
    | meet(Y,meet(X_1117,meet(X_1118,Y))) != meet(Y,meet(X_1117,X_1118))
    | join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) = meet(meet(X_1117,meet(X_1118,Y)),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,meet(X_1118,Y)))),meet(meet(X_1117,meet(X_1118,Y)),Y)) ),[0,1],$fot(meet(Y,meet(X_1117,X_1118)))]]) ).

cnf(refute_0_841,plain,
    ( join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,meet(X_1118,Y)))) != meet(meet(X_1117,meet(X_1118,Y)),Y)
    | join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) = meet(meet(X_1117,meet(X_1118,Y)),Y) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_1117,meet(X_1118,Y))),meet(Y,meet(X_1117,X_1118))) )],[refute_0_839,refute_0_840]) ).

cnf(refute_0_842,plain,
    join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) = meet(meet(X_1117,meet(X_1118,Y)),Y),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,meet(X_1118,Y)))),meet(meet(X_1117,meet(X_1118,Y)),Y)) )],[refute_0_833,refute_0_841]) ).

cnf(refute_0_843,plain,
    join(meet(X_66,meet(X_1006,X_1007)),meet(meet(X_1006,X_1007),X_66)) = meet(X_66,meet(X_1006,X_1007)),
    inference(subst,[],[refute_0_400:[bind(Y,$fot(meet(X_1006,X_1007)))]]) ).

cnf(refute_0_844,plain,
    ( join(meet(X_66,meet(X_1006,X_1007)),meet(meet(X_1006,X_1007),X_66)) != meet(X_66,meet(X_1006,X_1007))
    | meet(X_66,meet(X_1006,X_1007)) != meet(X_66,meet(X_1007,X_1006))
    | join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) = meet(X_66,meet(X_1006,X_1007)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_66,meet(X_1006,X_1007)),meet(meet(X_1006,X_1007),X_66)),meet(X_66,meet(X_1006,X_1007))) ),[0,0],$fot(meet(X_66,meet(X_1007,X_1006)))]]) ).

cnf(refute_0_845,plain,
    ( join(meet(X_66,meet(X_1006,X_1007)),meet(meet(X_1006,X_1007),X_66)) != meet(X_66,meet(X_1006,X_1007))
    | join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) = meet(X_66,meet(X_1006,X_1007)) ),
    inference(resolve,[$cnf( $equal(meet(X_66,meet(X_1006,X_1007)),meet(X_66,meet(X_1007,X_1006))) )],[refute_0_732,refute_0_844]) ).

cnf(refute_0_846,plain,
    join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) = meet(X_66,meet(X_1006,X_1007)),
    inference(resolve,[$cnf( $equal(join(meet(X_66,meet(X_1006,X_1007)),meet(meet(X_1006,X_1007),X_66)),meet(X_66,meet(X_1006,X_1007))) )],[refute_0_843,refute_0_845]) ).

cnf(refute_0_847,plain,
    join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) = join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)),
    introduced(tautology,[refl,[$fot(join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)))]]) ).

cnf(refute_0_848,plain,
    ( join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) != join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66))
    | meet(meet(X_1006,X_1007),X_66) != meet(X_1006,meet(X_1007,X_66))
    | join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) = join(meet(X_66,meet(X_1007,X_1006)),meet(X_1006,meet(X_1007,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)),join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66))) ),[1,1],$fot(meet(X_1006,meet(X_1007,X_66)))]]) ).

cnf(refute_0_849,plain,
    ( meet(meet(X_1006,X_1007),X_66) != meet(X_1006,meet(X_1007,X_66))
    | join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) = join(meet(X_66,meet(X_1007,X_1006)),meet(X_1006,meet(X_1007,X_66))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)),join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66))) )],[refute_0_847,refute_0_848]) ).

cnf(refute_0_850,plain,
    join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) = join(meet(X_66,meet(X_1007,X_1006)),meet(X_1006,meet(X_1007,X_66))),
    inference(resolve,[$cnf( $equal(meet(meet(X_1006,X_1007),X_66),meet(X_1006,meet(X_1007,X_66))) )],[refute_0_736,refute_0_849]) ).

cnf(refute_0_851,plain,
    ( join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) != join(meet(X_66,meet(X_1007,X_1006)),meet(X_1006,meet(X_1007,X_66)))
    | join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) != meet(X_66,meet(X_1006,X_1007))
    | join(meet(X_66,meet(X_1007,X_1006)),meet(X_1006,meet(X_1007,X_66))) = meet(X_66,meet(X_1006,X_1007)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)),meet(X_66,meet(X_1006,X_1007))) ),[0],$fot(join(meet(X_66,meet(X_1007,X_1006)),meet(X_1006,meet(X_1007,X_66))))]]) ).

cnf(refute_0_852,plain,
    ( join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)) != meet(X_66,meet(X_1006,X_1007))
    | join(meet(X_66,meet(X_1007,X_1006)),meet(X_1006,meet(X_1007,X_66))) = meet(X_66,meet(X_1006,X_1007)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)),join(meet(X_66,meet(X_1007,X_1006)),meet(X_1006,meet(X_1007,X_66)))) )],[refute_0_850,refute_0_851]) ).

cnf(refute_0_853,plain,
    join(meet(X_66,meet(X_1007,X_1006)),meet(X_1006,meet(X_1007,X_66))) = meet(X_66,meet(X_1006,X_1007)),
    inference(resolve,[$cnf( $equal(join(meet(X_66,meet(X_1007,X_1006)),meet(meet(X_1006,X_1007),X_66)),meet(X_66,meet(X_1006,X_1007))) )],[refute_0_846,refute_0_852]) ).

cnf(refute_0_854,plain,
    join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,X_1118))) = meet(X_1118,meet(Y,X_1117)),
    inference(subst,[],[refute_0_853:[bind(X_1006,$fot(Y)),bind(X_1007,$fot(X_1117)),bind(X_66,$fot(X_1118))]]) ).

cnf(refute_0_855,plain,
    join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) = join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))),
    introduced(tautology,[refl,[$fot(join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))))]]) ).

cnf(refute_0_856,plain,
    ( join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) != join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y))))
    | meet(Y,meet(X_1117,meet(X_1118,Y))) != meet(Y,meet(X_1117,X_1118))
    | join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) = join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,X_1118))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))),join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y))))) ),[1,1],$fot(meet(Y,meet(X_1117,X_1118)))]]) ).

cnf(refute_0_857,plain,
    ( meet(Y,meet(X_1117,meet(X_1118,Y))) != meet(Y,meet(X_1117,X_1118))
    | join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) = join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,X_1118))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))),join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y))))) )],[refute_0_855,refute_0_856]) ).

cnf(refute_0_858,plain,
    join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) = join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,X_1118))),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_1117,meet(X_1118,Y))),meet(Y,meet(X_1117,X_1118))) )],[refute_0_839,refute_0_857]) ).

cnf(refute_0_859,plain,
    ( join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,X_1118))) != meet(X_1118,meet(Y,X_1117))
    | join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) != join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,X_1118)))
    | join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) = meet(X_1118,meet(Y,X_1117)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))))),bind(Y0,$fot(join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,X_1118))))),bind(Z0,$fot(meet(X_1118,meet(Y,X_1117))))]]) ).

cnf(refute_0_860,plain,
    ( join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,X_1118))) != meet(X_1118,meet(Y,X_1117))
    | join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) = meet(X_1118,meet(Y,X_1117)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))),join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,X_1118)))) )],[refute_0_858,refute_0_859]) ).

cnf(refute_0_861,plain,
    join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) = meet(X_1118,meet(Y,X_1117)),
    inference(resolve,[$cnf( $equal(join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,X_1118))),meet(X_1118,meet(Y,X_1117))) )],[refute_0_854,refute_0_860]) ).

cnf(refute_0_862,plain,
    join(X_323,join(meet(X_66,Y),meet(Y,X_66))) = join(X_323,join(meet(Y,X_66),meet(X_66,Y))),
    inference(subst,[],[refute_0_211:[bind(Y,$fot(meet(X_66,Y))),bind(X_159,$fot(X_323)),bind(X_160,$fot(meet(Y,X_66)))]]) ).

cnf(refute_0_863,plain,
    ( join(X_323,join(meet(X_66,Y),meet(Y,X_66))) != join(X_323,join(meet(Y,X_66),meet(X_66,Y)))
    | join(meet(X_66,Y),meet(Y,X_66)) != meet(X_66,Y)
    | join(X_323,meet(X_66,Y)) = join(X_323,join(meet(Y,X_66),meet(X_66,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_323,join(meet(X_66,Y),meet(Y,X_66))),join(X_323,join(meet(Y,X_66),meet(X_66,Y)))) ),[0,1],$fot(meet(X_66,Y))]]) ).

cnf(refute_0_864,plain,
    ( join(X_323,join(meet(X_66,Y),meet(Y,X_66))) != join(X_323,join(meet(Y,X_66),meet(X_66,Y)))
    | join(X_323,meet(X_66,Y)) = join(X_323,join(meet(Y,X_66),meet(X_66,Y))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_66,Y),meet(Y,X_66)),meet(X_66,Y)) )],[refute_0_400,refute_0_863]) ).

cnf(refute_0_865,plain,
    join(X_323,meet(X_66,Y)) = join(X_323,join(meet(Y,X_66),meet(X_66,Y))),
    inference(resolve,[$cnf( $equal(join(X_323,join(meet(X_66,Y),meet(Y,X_66))),join(X_323,join(meet(Y,X_66),meet(X_66,Y)))) )],[refute_0_862,refute_0_864]) ).

cnf(refute_0_866,plain,
    join(meet(Y,X_66),meet(X_66,Y)) = meet(Y,X_66),
    inference(subst,[],[refute_0_400:[bind(Y,$fot(X_66)),bind(X_66,$fot(Y))]]) ).

cnf(refute_0_867,plain,
    join(X_323,join(meet(Y,X_66),meet(X_66,Y))) = join(X_323,join(meet(Y,X_66),meet(X_66,Y))),
    introduced(tautology,[refl,[$fot(join(X_323,join(meet(Y,X_66),meet(X_66,Y))))]]) ).

cnf(refute_0_868,plain,
    ( join(X_323,join(meet(Y,X_66),meet(X_66,Y))) != join(X_323,join(meet(Y,X_66),meet(X_66,Y)))
    | join(meet(Y,X_66),meet(X_66,Y)) != meet(Y,X_66)
    | join(X_323,join(meet(Y,X_66),meet(X_66,Y))) = join(X_323,meet(Y,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_323,join(meet(Y,X_66),meet(X_66,Y))),join(X_323,join(meet(Y,X_66),meet(X_66,Y)))) ),[1,1],$fot(meet(Y,X_66))]]) ).

cnf(refute_0_869,plain,
    ( join(meet(Y,X_66),meet(X_66,Y)) != meet(Y,X_66)
    | join(X_323,join(meet(Y,X_66),meet(X_66,Y))) = join(X_323,meet(Y,X_66)) ),
    inference(resolve,[$cnf( $equal(join(X_323,join(meet(Y,X_66),meet(X_66,Y))),join(X_323,join(meet(Y,X_66),meet(X_66,Y)))) )],[refute_0_867,refute_0_868]) ).

cnf(refute_0_870,plain,
    join(X_323,join(meet(Y,X_66),meet(X_66,Y))) = join(X_323,meet(Y,X_66)),
    inference(resolve,[$cnf( $equal(join(meet(Y,X_66),meet(X_66,Y)),meet(Y,X_66)) )],[refute_0_866,refute_0_869]) ).

cnf(refute_0_871,plain,
    ( join(X_323,join(meet(Y,X_66),meet(X_66,Y))) != join(X_323,meet(Y,X_66))
    | join(X_323,meet(X_66,Y)) != join(X_323,join(meet(Y,X_66),meet(X_66,Y)))
    | join(X_323,meet(X_66,Y)) = join(X_323,meet(Y,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_323,meet(X_66,Y)),join(X_323,join(meet(Y,X_66),meet(X_66,Y)))) ),[1],$fot(join(X_323,meet(Y,X_66)))]]) ).

cnf(refute_0_872,plain,
    ( join(X_323,meet(X_66,Y)) != join(X_323,join(meet(Y,X_66),meet(X_66,Y)))
    | join(X_323,meet(X_66,Y)) = join(X_323,meet(Y,X_66)) ),
    inference(resolve,[$cnf( $equal(join(X_323,join(meet(Y,X_66),meet(X_66,Y))),join(X_323,meet(Y,X_66))) )],[refute_0_870,refute_0_871]) ).

cnf(refute_0_873,plain,
    join(X_323,meet(X_66,Y)) = join(X_323,meet(Y,X_66)),
    inference(resolve,[$cnf( $equal(join(X_323,meet(X_66,Y)),join(X_323,join(meet(Y,X_66),meet(X_66,Y)))) )],[refute_0_865,refute_0_872]) ).

cnf(refute_0_874,plain,
    ( join(X_323,meet(X_66,Y)) != join(X_323,meet(Y,X_66))
    | join(X_323,meet(Y,X_66)) = join(X_323,meet(X_66,Y)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_323,meet(X_66,Y)))),bind(Y0,$fot(join(X_323,meet(Y,X_66))))]]) ).

cnf(refute_0_875,plain,
    join(X_323,meet(Y,X_66)) = join(X_323,meet(X_66,Y)),
    inference(resolve,[$cnf( $equal(join(X_323,meet(X_66,Y)),join(X_323,meet(Y,X_66))) )],[refute_0_873,refute_0_874]) ).

cnf(refute_0_876,plain,
    join(meet(X_1118,meet(X_1117,Y)),meet(meet(X_1117,meet(X_1118,Y)),Y)) = join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))),
    inference(subst,[],[refute_0_875:[bind(Y,$fot(meet(X_1117,meet(X_1118,Y)))),bind(X_323,$fot(meet(X_1118,meet(X_1117,Y)))),bind(X_66,$fot(Y))]]) ).

cnf(refute_0_877,plain,
    join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) = join(meet(X_1118,meet(X_1117,Y)),meet(meet(X_1117,meet(X_1118,Y)),Y)),
    inference(subst,[],[refute_0_743:[bind(X_1006,$fot(Y)),bind(X_1007,$fot(X_1117)),bind(X_66,$fot(X_1118)),bind(X_996,$fot(meet(meet(X_1117,meet(X_1118,Y)),Y)))]]) ).

cnf(refute_0_878,plain,
    ( join(meet(X_1118,meet(X_1117,Y)),meet(meet(X_1117,meet(X_1118,Y)),Y)) != join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y))))
    | join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) != join(meet(X_1118,meet(X_1117,Y)),meet(meet(X_1117,meet(X_1118,Y)),Y))
    | join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) = join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))))),bind(Y0,$fot(join(meet(X_1118,meet(X_1117,Y)),meet(meet(X_1117,meet(X_1118,Y)),Y)))),bind(Z0,$fot(join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y))))))]]) ).

cnf(refute_0_879,plain,
    ( join(meet(X_1118,meet(X_1117,Y)),meet(meet(X_1117,meet(X_1118,Y)),Y)) != join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y))))
    | join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) = join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))),join(meet(X_1118,meet(X_1117,Y)),meet(meet(X_1117,meet(X_1118,Y)),Y))) )],[refute_0_877,refute_0_878]) ).

cnf(refute_0_880,plain,
    join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) = join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))),
    inference(resolve,[$cnf( $equal(join(meet(X_1118,meet(X_1117,Y)),meet(meet(X_1117,meet(X_1118,Y)),Y)),join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y))))) )],[refute_0_876,refute_0_879]) ).

cnf(refute_0_881,plain,
    ( join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) != meet(X_1118,meet(Y,X_1117))
    | join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) != join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y))))
    | join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) = meet(X_1118,meet(Y,X_1117)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))))),bind(Y0,$fot(join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))))),bind(Z0,$fot(meet(X_1118,meet(Y,X_1117))))]]) ).

cnf(refute_0_882,plain,
    ( join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))) != meet(X_1118,meet(Y,X_1117))
    | join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) = meet(X_1118,meet(Y,X_1117)) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))),join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y))))) )],[refute_0_880,refute_0_881]) ).

cnf(refute_0_883,plain,
    join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) = meet(X_1118,meet(Y,X_1117)),
    inference(resolve,[$cnf( $equal(join(meet(X_1118,meet(X_1117,Y)),meet(Y,meet(X_1117,meet(X_1118,Y)))),meet(X_1118,meet(Y,X_1117))) )],[refute_0_861,refute_0_882]) ).

cnf(refute_0_884,plain,
    ( join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) != meet(X_1118,meet(Y,X_1117))
    | join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) != meet(meet(X_1117,meet(X_1118,Y)),Y)
    | meet(X_1118,meet(Y,X_1117)) = meet(meet(X_1117,meet(X_1118,Y)),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))),meet(meet(X_1117,meet(X_1118,Y)),Y)) ),[0],$fot(meet(X_1118,meet(Y,X_1117)))]]) ).

cnf(refute_0_885,plain,
    ( join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) != meet(meet(X_1117,meet(X_1118,Y)),Y)
    | meet(X_1118,meet(Y,X_1117)) = meet(meet(X_1117,meet(X_1118,Y)),Y) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))),meet(X_1118,meet(Y,X_1117))) )],[refute_0_883,refute_0_884]) ).

cnf(refute_0_886,plain,
    meet(Y,meet(X_1118,Y)) = meet(Y,X_1118),
    inference(subst,[],[refute_0_396:[bind(Y,$fot(X_1118)),bind(X_44,$fot(Y))]]) ).

cnf(refute_0_887,plain,
    meet(X_1117,meet(Y,meet(X_1118,Y))) = meet(X_1117,meet(Y,meet(X_1118,Y))),
    introduced(tautology,[refl,[$fot(meet(X_1117,meet(Y,meet(X_1118,Y))))]]) ).

cnf(refute_0_888,plain,
    ( meet(Y,meet(X_1118,Y)) != meet(Y,X_1118)
    | meet(X_1117,meet(Y,meet(X_1118,Y))) != meet(X_1117,meet(Y,meet(X_1118,Y)))
    | meet(X_1117,meet(Y,meet(X_1118,Y))) = meet(X_1117,meet(Y,X_1118)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_1117,meet(Y,meet(X_1118,Y))),meet(X_1117,meet(Y,meet(X_1118,Y)))) ),[1,1],$fot(meet(Y,X_1118))]]) ).

cnf(refute_0_889,plain,
    ( meet(Y,meet(X_1118,Y)) != meet(Y,X_1118)
    | meet(X_1117,meet(Y,meet(X_1118,Y))) = meet(X_1117,meet(Y,X_1118)) ),
    inference(resolve,[$cnf( $equal(meet(X_1117,meet(Y,meet(X_1118,Y))),meet(X_1117,meet(Y,meet(X_1118,Y)))) )],[refute_0_887,refute_0_888]) ).

cnf(refute_0_890,plain,
    meet(X_1117,meet(Y,meet(X_1118,Y))) = meet(X_1117,meet(Y,X_1118)),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_1118,Y)),meet(Y,X_1118)) )],[refute_0_886,refute_0_889]) ).

cnf(refute_0_891,plain,
    meet(meet(X_524,X_526),Y) = meet(Y,meet(X_524,X_526)),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(meet(X_524,X_526)))]]) ).

cnf(refute_0_892,plain,
    meet(Y,meet(X_524,X_526)) = meet(X_524,meet(Y,X_526)),
    inference(subst,[],[refute_0_666:[bind(X_96,$fot(X_524)),bind(X_97,$fot(Y)),bind(X_98,$fot(X_526))]]) ).

cnf(refute_0_893,plain,
    ( meet(Y,meet(X_524,X_526)) != meet(X_524,meet(Y,X_526))
    | meet(meet(X_524,X_526),Y) != meet(Y,meet(X_524,X_526))
    | meet(meet(X_524,X_526),Y) = meet(X_524,meet(Y,X_526)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_524,X_526),Y),meet(Y,meet(X_524,X_526))) ),[1],$fot(meet(X_524,meet(Y,X_526)))]]) ).

cnf(refute_0_894,plain,
    ( meet(meet(X_524,X_526),Y) != meet(Y,meet(X_524,X_526))
    | meet(meet(X_524,X_526),Y) = meet(X_524,meet(Y,X_526)) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_524,X_526)),meet(X_524,meet(Y,X_526))) )],[refute_0_892,refute_0_893]) ).

cnf(refute_0_895,plain,
    meet(meet(X_524,X_526),Y) = meet(X_524,meet(Y,X_526)),
    inference(resolve,[$cnf( $equal(meet(meet(X_524,X_526),Y),meet(Y,meet(X_524,X_526))) )],[refute_0_891,refute_0_894]) ).

cnf(refute_0_896,plain,
    meet(meet(X_524,X_526),Y) = meet(X_524,meet(X_526,Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_524)),bind(Y,$fot(X_526)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_897,plain,
    ( meet(meet(X_524,X_526),Y) != meet(X_524,meet(Y,X_526))
    | meet(meet(X_524,X_526),Y) != meet(X_524,meet(X_526,Y))
    | meet(X_524,meet(X_526,Y)) = meet(X_524,meet(Y,X_526)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_524,X_526),Y),meet(X_524,meet(Y,X_526))) ),[0],$fot(meet(X_524,meet(X_526,Y)))]]) ).

cnf(refute_0_898,plain,
    ( meet(meet(X_524,X_526),Y) != meet(X_524,meet(Y,X_526))
    | meet(X_524,meet(X_526,Y)) = meet(X_524,meet(Y,X_526)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_524,X_526),Y),meet(X_524,meet(X_526,Y))) )],[refute_0_896,refute_0_897]) ).

cnf(refute_0_899,plain,
    meet(X_524,meet(X_526,Y)) = meet(X_524,meet(Y,X_526)),
    inference(resolve,[$cnf( $equal(meet(meet(X_524,X_526),Y),meet(X_524,meet(Y,X_526))) )],[refute_0_895,refute_0_898]) ).

cnf(refute_0_900,plain,
    ( meet(X_524,meet(X_526,Y)) != meet(X_524,meet(Y,X_526))
    | meet(X_524,meet(Y,X_526)) = meet(X_524,meet(X_526,Y)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_524,meet(X_526,Y)))),bind(Y0,$fot(meet(X_524,meet(Y,X_526))))]]) ).

cnf(refute_0_901,plain,
    meet(X_524,meet(Y,X_526)) = meet(X_524,meet(X_526,Y)),
    inference(resolve,[$cnf( $equal(meet(X_524,meet(X_526,Y)),meet(X_524,meet(Y,X_526))) )],[refute_0_899,refute_0_900]) ).

cnf(refute_0_902,plain,
    meet(X_1117,meet(meet(X_1118,Y),Y)) = meet(X_1117,meet(Y,meet(X_1118,Y))),
    inference(subst,[],[refute_0_901:[bind(Y,$fot(meet(X_1118,Y))),bind(X_524,$fot(X_1117)),bind(X_526,$fot(Y))]]) ).

cnf(refute_0_903,plain,
    meet(meet(X_1117,meet(X_1118,Y)),Y) = meet(X_1117,meet(meet(X_1118,Y),Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_1117)),bind(Y,$fot(meet(X_1118,Y))),bind(Z,$fot(Y))]]) ).

cnf(refute_0_904,plain,
    ( meet(X_1117,meet(meet(X_1118,Y),Y)) != meet(X_1117,meet(Y,meet(X_1118,Y)))
    | meet(meet(X_1117,meet(X_1118,Y)),Y) != meet(X_1117,meet(meet(X_1118,Y),Y))
    | meet(meet(X_1117,meet(X_1118,Y)),Y) = meet(X_1117,meet(Y,meet(X_1118,Y))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_1117,meet(X_1118,Y)),Y))),bind(Y0,$fot(meet(X_1117,meet(meet(X_1118,Y),Y)))),bind(Z0,$fot(meet(X_1117,meet(Y,meet(X_1118,Y)))))]]) ).

cnf(refute_0_905,plain,
    ( meet(X_1117,meet(meet(X_1118,Y),Y)) != meet(X_1117,meet(Y,meet(X_1118,Y)))
    | meet(meet(X_1117,meet(X_1118,Y)),Y) = meet(X_1117,meet(Y,meet(X_1118,Y))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(X_1117,meet(meet(X_1118,Y),Y))) )],[refute_0_903,refute_0_904]) ).

cnf(refute_0_906,plain,
    meet(meet(X_1117,meet(X_1118,Y)),Y) = meet(X_1117,meet(Y,meet(X_1118,Y))),
    inference(resolve,[$cnf( $equal(meet(X_1117,meet(meet(X_1118,Y),Y)),meet(X_1117,meet(Y,meet(X_1118,Y)))) )],[refute_0_902,refute_0_905]) ).

cnf(refute_0_907,plain,
    ( meet(X_1117,meet(Y,meet(X_1118,Y))) != meet(X_1117,meet(Y,X_1118))
    | meet(meet(X_1117,meet(X_1118,Y)),Y) != meet(X_1117,meet(Y,meet(X_1118,Y)))
    | meet(meet(X_1117,meet(X_1118,Y)),Y) = meet(X_1117,meet(Y,X_1118)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_1117,meet(X_1118,Y)),Y))),bind(Y0,$fot(meet(X_1117,meet(Y,meet(X_1118,Y))))),bind(Z0,$fot(meet(X_1117,meet(Y,X_1118))))]]) ).

cnf(refute_0_908,plain,
    ( meet(X_1117,meet(Y,meet(X_1118,Y))) != meet(X_1117,meet(Y,X_1118))
    | meet(meet(X_1117,meet(X_1118,Y)),Y) = meet(X_1117,meet(Y,X_1118)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(X_1117,meet(Y,meet(X_1118,Y)))) )],[refute_0_906,refute_0_907]) ).

cnf(refute_0_909,plain,
    meet(meet(X_1117,meet(X_1118,Y)),Y) = meet(X_1117,meet(Y,X_1118)),
    inference(resolve,[$cnf( $equal(meet(X_1117,meet(Y,meet(X_1118,Y))),meet(X_1117,meet(Y,X_1118))) )],[refute_0_890,refute_0_908]) ).

cnf(refute_0_910,plain,
    ( meet(X_1118,meet(Y,X_1117)) != meet(meet(X_1117,meet(X_1118,Y)),Y)
    | meet(meet(X_1117,meet(X_1118,Y)),Y) != meet(X_1117,meet(Y,X_1118))
    | meet(X_1118,meet(Y,X_1117)) = meet(X_1117,meet(Y,X_1118)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_1118,meet(Y,X_1117)),meet(X_1117,meet(Y,X_1118))) ),[0],$fot(meet(meet(X_1117,meet(X_1118,Y)),Y))]]) ).

cnf(refute_0_911,plain,
    ( meet(X_1118,meet(Y,X_1117)) != meet(meet(X_1117,meet(X_1118,Y)),Y)
    | meet(X_1118,meet(Y,X_1117)) = meet(X_1117,meet(Y,X_1118)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(X_1117,meet(Y,X_1118))) )],[refute_0_909,refute_0_910]) ).

cnf(refute_0_912,plain,
    ( join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))) != meet(meet(X_1117,meet(X_1118,Y)),Y)
    | meet(X_1118,meet(Y,X_1117)) = meet(X_1117,meet(Y,X_1118)) ),
    inference(resolve,[$cnf( $equal(meet(X_1118,meet(Y,X_1117)),meet(meet(X_1117,meet(X_1118,Y)),Y)) )],[refute_0_885,refute_0_911]) ).

cnf(refute_0_913,plain,
    meet(X_1118,meet(Y,X_1117)) = meet(X_1117,meet(Y,X_1118)),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_1117,meet(X_1118,Y)),Y),meet(Y,meet(X_1117,X_1118))),meet(meet(X_1117,meet(X_1118,Y)),Y)) )],[refute_0_842,refute_0_912]) ).

cnf(refute_0_914,plain,
    meet(meet(X_1921,X_1920),meet(r2,a)) = meet(a,meet(r2,meet(X_1921,X_1920))),
    inference(subst,[],[refute_0_913:[bind(Y,$fot(r2)),bind(X_1117,$fot(a)),bind(X_1118,$fot(meet(X_1921,X_1920)))]]) ).

cnf(refute_0_915,plain,
    meet(a,meet(r2,meet(X_1921,X_1920))) = meet(X_1920,meet(X_1921,meet(a,r2))),
    inference(subst,[],[refute_0_768:[bind(X,$fot(X_1920)),bind(Y,$fot(X_1921))]]) ).

cnf(refute_0_916,plain,
    ( meet(a,meet(r2,meet(X_1921,X_1920))) != meet(X_1920,meet(X_1921,meet(a,r2)))
    | meet(meet(X_1921,X_1920),meet(r2,a)) != meet(a,meet(r2,meet(X_1921,X_1920)))
    | meet(meet(X_1921,X_1920),meet(r2,a)) = meet(X_1920,meet(X_1921,meet(a,r2))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_1921,X_1920),meet(r2,a)),meet(a,meet(r2,meet(X_1921,X_1920)))) ),[1],$fot(meet(X_1920,meet(X_1921,meet(a,r2))))]]) ).

cnf(refute_0_917,plain,
    ( meet(meet(X_1921,X_1920),meet(r2,a)) != meet(a,meet(r2,meet(X_1921,X_1920)))
    | meet(meet(X_1921,X_1920),meet(r2,a)) = meet(X_1920,meet(X_1921,meet(a,r2))) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(r2,meet(X_1921,X_1920))),meet(X_1920,meet(X_1921,meet(a,r2)))) )],[refute_0_915,refute_0_916]) ).

cnf(refute_0_918,plain,
    meet(meet(X_1921,X_1920),meet(r2,a)) = meet(X_1920,meet(X_1921,meet(a,r2))),
    inference(resolve,[$cnf( $equal(meet(meet(X_1921,X_1920),meet(r2,a)),meet(a,meet(r2,meet(X_1921,X_1920)))) )],[refute_0_914,refute_0_917]) ).

cnf(refute_0_919,plain,
    meet(meet(X_160,Y),join(X_159,join(X_160,meet(X_160,Y)))) = meet(X_160,Y),
    inference(subst,[],[refute_0_179:[bind(X,$fot(meet(X_160,Y))),bind(X_68,$fot(X_159)),bind(X_69,$fot(X_160))]]) ).

cnf(refute_0_920,plain,
    join(X_160,meet(X_160,Y)) = X_160,
    inference(subst,[],[absorption2:[bind(X,$fot(X_160))]]) ).

cnf(refute_0_921,plain,
    ( join(X_160,meet(X_160,Y)) != X_160
    | meet(meet(X_160,Y),join(X_159,join(X_160,meet(X_160,Y)))) != meet(X_160,Y)
    | meet(meet(X_160,Y),join(X_159,X_160)) = meet(X_160,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_160,Y),join(X_159,join(X_160,meet(X_160,Y)))),meet(X_160,Y)) ),[0,1,1],$fot(X_160)]]) ).

cnf(refute_0_922,plain,
    ( meet(meet(X_160,Y),join(X_159,join(X_160,meet(X_160,Y)))) != meet(X_160,Y)
    | meet(meet(X_160,Y),join(X_159,X_160)) = meet(X_160,Y) ),
    inference(resolve,[$cnf( $equal(join(X_160,meet(X_160,Y)),X_160) )],[refute_0_920,refute_0_921]) ).

cnf(refute_0_923,plain,
    meet(meet(X_160,Y),join(X_159,X_160)) = meet(X_160,Y),
    inference(resolve,[$cnf( $equal(meet(meet(X_160,Y),join(X_159,join(X_160,meet(X_160,Y)))),meet(X_160,Y)) )],[refute_0_919,refute_0_922]) ).

cnf(refute_0_924,plain,
    meet(meet(X_160,Y),join(X_159,X_160)) = meet(X_160,meet(Y,join(X_159,X_160))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_160)),bind(Z,$fot(join(X_159,X_160)))]]) ).

cnf(refute_0_925,plain,
    ( meet(meet(X_160,Y),join(X_159,X_160)) != meet(X_160,Y)
    | meet(meet(X_160,Y),join(X_159,X_160)) != meet(X_160,meet(Y,join(X_159,X_160)))
    | meet(X_160,meet(Y,join(X_159,X_160))) = meet(X_160,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_160,Y),join(X_159,X_160)),meet(X_160,Y)) ),[0],$fot(meet(X_160,meet(Y,join(X_159,X_160))))]]) ).

cnf(refute_0_926,plain,
    ( meet(meet(X_160,Y),join(X_159,X_160)) != meet(X_160,Y)
    | meet(X_160,meet(Y,join(X_159,X_160))) = meet(X_160,Y) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_160,Y),join(X_159,X_160)),meet(X_160,meet(Y,join(X_159,X_160)))) )],[refute_0_924,refute_0_925]) ).

cnf(refute_0_927,plain,
    meet(X_160,meet(Y,join(X_159,X_160))) = meet(X_160,Y),
    inference(resolve,[$cnf( $equal(meet(meet(X_160,Y),join(X_159,X_160)),meet(X_160,Y)) )],[refute_0_923,refute_0_926]) ).

cnf(refute_0_928,plain,
    meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,join(X_1538,meet(X_257,meet(X_1538,Y))))) = meet(meet(X_257,meet(X_1538,Y)),X_1537),
    inference(subst,[],[refute_0_927:[bind(Y,$fot(X_1537)),bind(X_159,$fot(X_1538)),bind(X_160,$fot(meet(X_257,meet(X_1538,Y))))]]) ).

cnf(refute_0_929,plain,
    join(X_258,meet(meet(X_257,X_258),Y)) = join(X_258,join(meet(X_257,X_258),meet(meet(X_257,X_258),Y))),
    inference(subst,[],[refute_0_68:[bind(Y,$fot(X_257)),bind(X_68,$fot(X_258)),bind(X_70,$fot(meet(meet(X_257,X_258),Y)))]]) ).

cnf(refute_0_930,plain,
    join(meet(X_257,X_258),meet(meet(X_257,X_258),Y)) = meet(X_257,X_258),
    inference(subst,[],[absorption2:[bind(X,$fot(meet(X_257,X_258)))]]) ).

cnf(refute_0_931,plain,
    ( join(X_258,meet(meet(X_257,X_258),Y)) != join(X_258,join(meet(X_257,X_258),meet(meet(X_257,X_258),Y)))
    | join(meet(X_257,X_258),meet(meet(X_257,X_258),Y)) != meet(X_257,X_258)
    | join(X_258,meet(meet(X_257,X_258),Y)) = join(X_258,meet(X_257,X_258)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_258,meet(meet(X_257,X_258),Y)),join(X_258,join(meet(X_257,X_258),meet(meet(X_257,X_258),Y)))) ),[1,1],$fot(meet(X_257,X_258))]]) ).

cnf(refute_0_932,plain,
    ( join(X_258,meet(meet(X_257,X_258),Y)) != join(X_258,join(meet(X_257,X_258),meet(meet(X_257,X_258),Y)))
    | join(X_258,meet(meet(X_257,X_258),Y)) = join(X_258,meet(X_257,X_258)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_257,X_258),meet(meet(X_257,X_258),Y)),meet(X_257,X_258)) )],[refute_0_930,refute_0_931]) ).

cnf(refute_0_933,plain,
    join(X_258,meet(meet(X_257,X_258),Y)) = join(X_258,meet(X_257,X_258)),
    inference(resolve,[$cnf( $equal(join(X_258,meet(meet(X_257,X_258),Y)),join(X_258,join(meet(X_257,X_258),meet(meet(X_257,X_258),Y)))) )],[refute_0_929,refute_0_932]) ).

cnf(refute_0_934,plain,
    meet(meet(X_257,X_258),Y) = meet(X_257,meet(X_258,Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_257)),bind(Y,$fot(X_258)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_935,plain,
    join(X_258,meet(meet(X_257,X_258),Y)) = join(X_258,meet(meet(X_257,X_258),Y)),
    introduced(tautology,[refl,[$fot(join(X_258,meet(meet(X_257,X_258),Y)))]]) ).

cnf(refute_0_936,plain,
    ( join(X_258,meet(meet(X_257,X_258),Y)) != join(X_258,meet(meet(X_257,X_258),Y))
    | meet(meet(X_257,X_258),Y) != meet(X_257,meet(X_258,Y))
    | join(X_258,meet(meet(X_257,X_258),Y)) = join(X_258,meet(X_257,meet(X_258,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_258,meet(meet(X_257,X_258),Y)),join(X_258,meet(meet(X_257,X_258),Y))) ),[1,1],$fot(meet(X_257,meet(X_258,Y)))]]) ).

cnf(refute_0_937,plain,
    ( meet(meet(X_257,X_258),Y) != meet(X_257,meet(X_258,Y))
    | join(X_258,meet(meet(X_257,X_258),Y)) = join(X_258,meet(X_257,meet(X_258,Y))) ),
    inference(resolve,[$cnf( $equal(join(X_258,meet(meet(X_257,X_258),Y)),join(X_258,meet(meet(X_257,X_258),Y))) )],[refute_0_935,refute_0_936]) ).

cnf(refute_0_938,plain,
    join(X_258,meet(meet(X_257,X_258),Y)) = join(X_258,meet(X_257,meet(X_258,Y))),
    inference(resolve,[$cnf( $equal(meet(meet(X_257,X_258),Y),meet(X_257,meet(X_258,Y))) )],[refute_0_934,refute_0_937]) ).

cnf(refute_0_939,plain,
    ( join(X_258,meet(meet(X_257,X_258),Y)) != join(X_258,meet(X_257,X_258))
    | join(X_258,meet(meet(X_257,X_258),Y)) != join(X_258,meet(X_257,meet(X_258,Y)))
    | join(X_258,meet(X_257,meet(X_258,Y))) = join(X_258,meet(X_257,X_258)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_258,meet(meet(X_257,X_258),Y)),join(X_258,meet(X_257,X_258))) ),[0],$fot(join(X_258,meet(X_257,meet(X_258,Y))))]]) ).

cnf(refute_0_940,plain,
    ( join(X_258,meet(meet(X_257,X_258),Y)) != join(X_258,meet(X_257,X_258))
    | join(X_258,meet(X_257,meet(X_258,Y))) = join(X_258,meet(X_257,X_258)) ),
    inference(resolve,[$cnf( $equal(join(X_258,meet(meet(X_257,X_258),Y)),join(X_258,meet(X_257,meet(X_258,Y)))) )],[refute_0_938,refute_0_939]) ).

cnf(refute_0_941,plain,
    join(X_258,meet(X_257,X_258)) = X_258,
    inference(subst,[],[refute_0_64:[bind(X,$fot(X_258)),bind(Y,$fot(X_257))]]) ).

cnf(refute_0_942,plain,
    ( join(X_258,meet(X_257,X_258)) != X_258
    | join(X_258,meet(X_257,meet(X_258,Y))) != join(X_258,meet(X_257,X_258))
    | join(X_258,meet(X_257,meet(X_258,Y))) = X_258 ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_258,meet(X_257,meet(X_258,Y))),join(X_258,meet(X_257,X_258))) ),[1],$fot(X_258)]]) ).

cnf(refute_0_943,plain,
    ( join(X_258,meet(X_257,meet(X_258,Y))) != join(X_258,meet(X_257,X_258))
    | join(X_258,meet(X_257,meet(X_258,Y))) = X_258 ),
    inference(resolve,[$cnf( $equal(join(X_258,meet(X_257,X_258)),X_258) )],[refute_0_941,refute_0_942]) ).

cnf(refute_0_944,plain,
    ( join(X_258,meet(meet(X_257,X_258),Y)) != join(X_258,meet(X_257,X_258))
    | join(X_258,meet(X_257,meet(X_258,Y))) = X_258 ),
    inference(resolve,[$cnf( $equal(join(X_258,meet(X_257,meet(X_258,Y))),join(X_258,meet(X_257,X_258))) )],[refute_0_940,refute_0_943]) ).

cnf(refute_0_945,plain,
    join(X_258,meet(X_257,meet(X_258,Y))) = X_258,
    inference(resolve,[$cnf( $equal(join(X_258,meet(meet(X_257,X_258),Y)),join(X_258,meet(X_257,X_258))) )],[refute_0_933,refute_0_944]) ).

cnf(refute_0_946,plain,
    join(X_1538,meet(X_257,meet(X_1538,Y))) = X_1538,
    inference(subst,[],[refute_0_945:[bind(X_258,$fot(X_1538))]]) ).

cnf(refute_0_947,plain,
    ( join(X_1538,meet(X_257,meet(X_1538,Y))) != X_1538
    | meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,join(X_1538,meet(X_257,meet(X_1538,Y))))) != meet(meet(X_257,meet(X_1538,Y)),X_1537)
    | meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) = meet(meet(X_257,meet(X_1538,Y)),X_1537) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,join(X_1538,meet(X_257,meet(X_1538,Y))))),meet(meet(X_257,meet(X_1538,Y)),X_1537)) ),[0,1,1],$fot(X_1538)]]) ).

cnf(refute_0_948,plain,
    ( meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,join(X_1538,meet(X_257,meet(X_1538,Y))))) != meet(meet(X_257,meet(X_1538,Y)),X_1537)
    | meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) = meet(meet(X_257,meet(X_1538,Y)),X_1537) ),
    inference(resolve,[$cnf( $equal(join(X_1538,meet(X_257,meet(X_1538,Y))),X_1538) )],[refute_0_946,refute_0_947]) ).

cnf(refute_0_949,plain,
    meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) = meet(meet(X_257,meet(X_1538,Y)),X_1537),
    inference(resolve,[$cnf( $equal(meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,join(X_1538,meet(X_257,meet(X_1538,Y))))),meet(meet(X_257,meet(X_1538,Y)),X_1537)) )],[refute_0_928,refute_0_948]) ).

cnf(refute_0_950,plain,
    meet(meet(X_96,meet(X_97,X_516)),X_518) = meet(meet(X_96,meet(X_97,X_516)),meet(join(X_516,meet(X_96,meet(X_97,X_516))),X_518)),
    inference(subst,[],[refute_0_528:[bind(Y,$fot(X_516)),bind(X_96,$fot(meet(X_96,meet(X_97,X_516)))),bind(X_98,$fot(X_518))]]) ).

cnf(refute_0_951,plain,
    join(X_516,meet(X_96,meet(X_97,X_516))) = X_516,
    inference(subst,[],[refute_0_336:[bind(X,$fot(X_516))]]) ).

cnf(refute_0_952,plain,
    ( join(X_516,meet(X_96,meet(X_97,X_516))) != X_516
    | meet(meet(X_96,meet(X_97,X_516)),X_518) != meet(meet(X_96,meet(X_97,X_516)),meet(join(X_516,meet(X_96,meet(X_97,X_516))),X_518))
    | meet(meet(X_96,meet(X_97,X_516)),X_518) = meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_516)),X_518),meet(meet(X_96,meet(X_97,X_516)),meet(join(X_516,meet(X_96,meet(X_97,X_516))),X_518))) ),[1,1,0],$fot(X_516)]]) ).

cnf(refute_0_953,plain,
    ( meet(meet(X_96,meet(X_97,X_516)),X_518) != meet(meet(X_96,meet(X_97,X_516)),meet(join(X_516,meet(X_96,meet(X_97,X_516))),X_518))
    | meet(meet(X_96,meet(X_97,X_516)),X_518) = meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)) ),
    inference(resolve,[$cnf( $equal(join(X_516,meet(X_96,meet(X_97,X_516))),X_516) )],[refute_0_951,refute_0_952]) ).

cnf(refute_0_954,plain,
    meet(meet(X_96,meet(X_97,X_516)),X_518) = meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_516)),X_518),meet(meet(X_96,meet(X_97,X_516)),meet(join(X_516,meet(X_96,meet(X_97,X_516))),X_518))) )],[refute_0_950,refute_0_953]) ).

cnf(refute_0_955,plain,
    meet(meet(X_97,X_516),X_518) = meet(X_97,meet(X_516,X_518)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_97)),bind(Y,$fot(X_516)),bind(Z,$fot(X_518))]]) ).

cnf(refute_0_956,plain,
    meet(X_96,meet(meet(X_97,X_516),X_518)) = meet(X_96,meet(meet(X_97,X_516),X_518)),
    introduced(tautology,[refl,[$fot(meet(X_96,meet(meet(X_97,X_516),X_518)))]]) ).

cnf(refute_0_957,plain,
    ( meet(X_96,meet(meet(X_97,X_516),X_518)) != meet(X_96,meet(meet(X_97,X_516),X_518))
    | meet(meet(X_97,X_516),X_518) != meet(X_97,meet(X_516,X_518))
    | meet(X_96,meet(meet(X_97,X_516),X_518)) = meet(X_96,meet(X_97,meet(X_516,X_518))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_96,meet(meet(X_97,X_516),X_518)),meet(X_96,meet(meet(X_97,X_516),X_518))) ),[1,1],$fot(meet(X_97,meet(X_516,X_518)))]]) ).

cnf(refute_0_958,plain,
    ( meet(meet(X_97,X_516),X_518) != meet(X_97,meet(X_516,X_518))
    | meet(X_96,meet(meet(X_97,X_516),X_518)) = meet(X_96,meet(X_97,meet(X_516,X_518))) ),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(meet(X_97,X_516),X_518)),meet(X_96,meet(meet(X_97,X_516),X_518))) )],[refute_0_956,refute_0_957]) ).

cnf(refute_0_959,plain,
    meet(X_96,meet(meet(X_97,X_516),X_518)) = meet(X_96,meet(X_97,meet(X_516,X_518))),
    inference(resolve,[$cnf( $equal(meet(meet(X_97,X_516),X_518),meet(X_97,meet(X_516,X_518))) )],[refute_0_955,refute_0_958]) ).

cnf(refute_0_960,plain,
    meet(meet(X_96,meet(X_97,X_516)),X_518) = meet(X_96,meet(meet(X_97,X_516),X_518)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(meet(X_97,X_516))),bind(Z,$fot(X_518))]]) ).

cnf(refute_0_961,plain,
    ( meet(X_96,meet(meet(X_97,X_516),X_518)) != meet(X_96,meet(X_97,meet(X_516,X_518)))
    | meet(meet(X_96,meet(X_97,X_516)),X_518) != meet(X_96,meet(meet(X_97,X_516),X_518))
    | meet(meet(X_96,meet(X_97,X_516)),X_518) = meet(X_96,meet(X_97,meet(X_516,X_518))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_96,meet(X_97,X_516)),X_518))),bind(Y0,$fot(meet(X_96,meet(meet(X_97,X_516),X_518)))),bind(Z0,$fot(meet(X_96,meet(X_97,meet(X_516,X_518)))))]]) ).

cnf(refute_0_962,plain,
    ( meet(X_96,meet(meet(X_97,X_516),X_518)) != meet(X_96,meet(X_97,meet(X_516,X_518)))
    | meet(meet(X_96,meet(X_97,X_516)),X_518) = meet(X_96,meet(X_97,meet(X_516,X_518))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_516)),X_518),meet(X_96,meet(meet(X_97,X_516),X_518))) )],[refute_0_960,refute_0_961]) ).

cnf(refute_0_963,plain,
    meet(meet(X_96,meet(X_97,X_516)),X_518) = meet(X_96,meet(X_97,meet(X_516,X_518))),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(meet(X_97,X_516),X_518)),meet(X_96,meet(X_97,meet(X_516,X_518)))) )],[refute_0_959,refute_0_962]) ).

cnf(refute_0_964,plain,
    ( meet(meet(X_96,meet(X_97,X_516)),X_518) != meet(X_96,meet(X_97,meet(X_516,X_518)))
    | meet(meet(X_96,meet(X_97,X_516)),X_518) != meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518))
    | meet(X_96,meet(X_97,meet(X_516,X_518))) = meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_516)),X_518),meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518))) ),[0],$fot(meet(X_96,meet(X_97,meet(X_516,X_518))))]]) ).

cnf(refute_0_965,plain,
    ( meet(meet(X_96,meet(X_97,X_516)),X_518) != meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518))
    | meet(X_96,meet(X_97,meet(X_516,X_518))) = meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_516)),X_518),meet(X_96,meet(X_97,meet(X_516,X_518)))) )],[refute_0_963,refute_0_964]) ).

cnf(refute_0_966,plain,
    meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)) = meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)),
    introduced(tautology,[refl,[$fot(meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)))]]) ).

cnf(refute_0_967,plain,
    ( meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)) != meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518))
    | meet(meet(X_96,meet(X_97,X_516)),X_518) != meet(X_96,meet(X_97,meet(X_516,X_518)))
    | meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)) = meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)),meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518))) ),[1,1],$fot(meet(X_96,meet(X_97,meet(X_516,X_518))))]]) ).

cnf(refute_0_968,plain,
    ( meet(meet(X_96,meet(X_97,X_516)),X_518) != meet(X_96,meet(X_97,meet(X_516,X_518)))
    | meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)) = meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))) ),
    inference(resolve,[$cnf( $equal(meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)),meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518))) )],[refute_0_966,refute_0_967]) ).

cnf(refute_0_969,plain,
    meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)) = meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_516)),X_518),meet(X_96,meet(X_97,meet(X_516,X_518)))) )],[refute_0_963,refute_0_968]) ).

cnf(refute_0_970,plain,
    meet(meet(X_278,X_66),meet(X_277,X_278)) = meet(X_277,meet(X_278,meet(X_278,X_66))),
    inference(subst,[],[refute_0_719:[bind(X,$fot(meet(X_278,X_66))),bind(X_96,$fot(X_277)),bind(X_97,$fot(X_278))]]) ).

cnf(refute_0_971,plain,
    meet(X_278,meet(X_278,X_66)) = meet(X_278,X_66),
    inference(subst,[],[refute_0_574:[bind(X_67,$fot(X_278))]]) ).

cnf(refute_0_972,plain,
    ( meet(X_278,meet(X_278,X_66)) != meet(X_278,X_66)
    | meet(meet(X_278,X_66),meet(X_277,X_278)) != meet(X_277,meet(X_278,meet(X_278,X_66)))
    | meet(meet(X_278,X_66),meet(X_277,X_278)) = meet(X_277,meet(X_278,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_278,X_66),meet(X_277,X_278)),meet(X_277,meet(X_278,meet(X_278,X_66)))) ),[1,1],$fot(meet(X_278,X_66))]]) ).

cnf(refute_0_973,plain,
    ( meet(meet(X_278,X_66),meet(X_277,X_278)) != meet(X_277,meet(X_278,meet(X_278,X_66)))
    | meet(meet(X_278,X_66),meet(X_277,X_278)) = meet(X_277,meet(X_278,X_66)) ),
    inference(resolve,[$cnf( $equal(meet(X_278,meet(X_278,X_66)),meet(X_278,X_66)) )],[refute_0_971,refute_0_972]) ).

cnf(refute_0_974,plain,
    meet(meet(X_278,X_66),meet(X_277,X_278)) = meet(X_277,meet(X_278,X_66)),
    inference(resolve,[$cnf( $equal(meet(meet(X_278,X_66),meet(X_277,X_278)),meet(X_277,meet(X_278,meet(X_278,X_66)))) )],[refute_0_970,refute_0_973]) ).

cnf(refute_0_975,plain,
    meet(X_278,meet(X_277,meet(X_278,X_66))) = meet(X_278,meet(X_277,X_66)),
    inference(subst,[],[refute_0_727:[bind(Y,$fot(X_277)),bind(X_96,$fot(X_278)),bind(X_98,$fot(X_66))]]) ).

cnf(refute_0_976,plain,
    meet(X_276,meet(X_277,X_278)) = meet(X_277,meet(X_278,X_276)),
    inference(subst,[],[refute_0_719:[bind(X,$fot(X_276)),bind(X_96,$fot(X_277)),bind(X_97,$fot(X_278))]]) ).

cnf(refute_0_977,plain,
    meet(X_278,X_277) = meet(X_277,X_278),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_278)),bind(Y,$fot(X_277))]]) ).

cnf(refute_0_978,plain,
    ( meet(X_278,X_277) != meet(X_277,X_278)
    | meet(X_277,X_278) = meet(X_278,X_277) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_278,X_277))),bind(Y0,$fot(meet(X_277,X_278)))]]) ).

cnf(refute_0_979,plain,
    meet(X_277,X_278) = meet(X_278,X_277),
    inference(resolve,[$cnf( $equal(meet(X_278,X_277),meet(X_277,X_278)) )],[refute_0_977,refute_0_978]) ).

cnf(refute_0_980,plain,
    ( meet(X_276,meet(X_277,X_278)) != meet(X_277,meet(X_278,X_276))
    | meet(X_277,X_278) != meet(X_278,X_277)
    | meet(X_276,meet(X_278,X_277)) = meet(X_277,meet(X_278,X_276)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_276,meet(X_277,X_278)),meet(X_277,meet(X_278,X_276))) ),[0,1],$fot(meet(X_278,X_277))]]) ).

cnf(refute_0_981,plain,
    ( meet(X_276,meet(X_277,X_278)) != meet(X_277,meet(X_278,X_276))
    | meet(X_276,meet(X_278,X_277)) = meet(X_277,meet(X_278,X_276)) ),
    inference(resolve,[$cnf( $equal(meet(X_277,X_278),meet(X_278,X_277)) )],[refute_0_979,refute_0_980]) ).

cnf(refute_0_982,plain,
    meet(X_276,meet(X_278,X_277)) = meet(X_277,meet(X_278,X_276)),
    inference(resolve,[$cnf( $equal(meet(X_276,meet(X_277,X_278)),meet(X_277,meet(X_278,X_276))) )],[refute_0_976,refute_0_981]) ).

cnf(refute_0_983,plain,
    ( meet(X_276,meet(X_278,X_277)) != meet(X_277,meet(X_278,X_276))
    | meet(X_277,meet(X_278,X_276)) = meet(X_276,meet(X_278,X_277)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_276,meet(X_278,X_277)))),bind(Y0,$fot(meet(X_277,meet(X_278,X_276))))]]) ).

cnf(refute_0_984,plain,
    meet(X_277,meet(X_278,X_276)) = meet(X_276,meet(X_278,X_277)),
    inference(resolve,[$cnf( $equal(meet(X_276,meet(X_278,X_277)),meet(X_277,meet(X_278,X_276))) )],[refute_0_982,refute_0_983]) ).

cnf(refute_0_985,plain,
    meet(meet(X_278,X_66),meet(X_277,X_278)) = meet(X_278,meet(X_277,meet(X_278,X_66))),
    inference(subst,[],[refute_0_984:[bind(X_276,$fot(X_278)),bind(X_277,$fot(meet(X_278,X_66))),bind(X_278,$fot(X_277))]]) ).

cnf(refute_0_986,plain,
    ( meet(X_278,meet(X_277,meet(X_278,X_66))) != meet(X_278,meet(X_277,X_66))
    | meet(meet(X_278,X_66),meet(X_277,X_278)) != meet(X_278,meet(X_277,meet(X_278,X_66)))
    | meet(meet(X_278,X_66),meet(X_277,X_278)) = meet(X_278,meet(X_277,X_66)) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_278,X_66),meet(X_277,X_278)))),bind(Y0,$fot(meet(X_278,meet(X_277,meet(X_278,X_66))))),bind(Z0,$fot(meet(X_278,meet(X_277,X_66))))]]) ).

cnf(refute_0_987,plain,
    ( meet(X_278,meet(X_277,meet(X_278,X_66))) != meet(X_278,meet(X_277,X_66))
    | meet(meet(X_278,X_66),meet(X_277,X_278)) = meet(X_278,meet(X_277,X_66)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_278,X_66),meet(X_277,X_278)),meet(X_278,meet(X_277,meet(X_278,X_66)))) )],[refute_0_985,refute_0_986]) ).

cnf(refute_0_988,plain,
    meet(meet(X_278,X_66),meet(X_277,X_278)) = meet(X_278,meet(X_277,X_66)),
    inference(resolve,[$cnf( $equal(meet(X_278,meet(X_277,meet(X_278,X_66))),meet(X_278,meet(X_277,X_66))) )],[refute_0_975,refute_0_987]) ).

cnf(refute_0_989,plain,
    ( meet(meet(X_278,X_66),meet(X_277,X_278)) != meet(X_277,meet(X_278,X_66))
    | meet(meet(X_278,X_66),meet(X_277,X_278)) != meet(X_278,meet(X_277,X_66))
    | meet(X_278,meet(X_277,X_66)) = meet(X_277,meet(X_278,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_278,X_66),meet(X_277,X_278)),meet(X_277,meet(X_278,X_66))) ),[0],$fot(meet(X_278,meet(X_277,X_66)))]]) ).

cnf(refute_0_990,plain,
    ( meet(meet(X_278,X_66),meet(X_277,X_278)) != meet(X_277,meet(X_278,X_66))
    | meet(X_278,meet(X_277,X_66)) = meet(X_277,meet(X_278,X_66)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_278,X_66),meet(X_277,X_278)),meet(X_278,meet(X_277,X_66))) )],[refute_0_988,refute_0_989]) ).

cnf(refute_0_991,plain,
    meet(X_278,meet(X_277,X_66)) = meet(X_277,meet(X_278,X_66)),
    inference(resolve,[$cnf( $equal(meet(meet(X_278,X_66),meet(X_277,X_278)),meet(X_277,meet(X_278,X_66))) )],[refute_0_974,refute_0_990]) ).

cnf(refute_0_992,plain,
    ( meet(X_278,meet(X_277,X_66)) != meet(X_277,meet(X_278,X_66))
    | meet(X_277,meet(X_278,X_66)) = meet(X_278,meet(X_277,X_66)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_278,meet(X_277,X_66)))),bind(Y0,$fot(meet(X_277,meet(X_278,X_66))))]]) ).

cnf(refute_0_993,plain,
    meet(X_277,meet(X_278,X_66)) = meet(X_278,meet(X_277,X_66)),
    inference(resolve,[$cnf( $equal(meet(X_278,meet(X_277,X_66)),meet(X_277,meet(X_278,X_66))) )],[refute_0_991,refute_0_992]) ).

cnf(refute_0_994,plain,
    meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)) = meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)),
    inference(subst,[],[refute_0_993:[bind(X_277,$fot(meet(X_96,meet(X_97,X_516)))),bind(X_278,$fot(X_516)),bind(X_66,$fot(X_518))]]) ).

cnf(refute_0_995,plain,
    ( meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)) != meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518))))
    | meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)) != meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518))
    | meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)) = meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)))),bind(Y0,$fot(meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)))),bind(Z0,$fot(meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518))))))]]) ).

cnf(refute_0_996,plain,
    ( meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)) != meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518))))
    | meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)) = meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)),meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518))) )],[refute_0_994,refute_0_995]) ).

cnf(refute_0_997,plain,
    meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)) = meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))),
    inference(resolve,[$cnf( $equal(meet(X_516,meet(meet(X_96,meet(X_97,X_516)),X_518)),meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518))))) )],[refute_0_969,refute_0_996]) ).

cnf(refute_0_998,plain,
    ( meet(X_96,meet(X_97,meet(X_516,X_518))) != meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518))
    | meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)) != meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518))))
    | meet(X_96,meet(X_97,meet(X_516,X_518))) = meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_96,meet(X_97,meet(X_516,X_518))),meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518))))) ),[0],$fot(meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)))]]) ).

cnf(refute_0_999,plain,
    ( meet(X_96,meet(X_97,meet(X_516,X_518))) != meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518))
    | meet(X_96,meet(X_97,meet(X_516,X_518))) = meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518)),meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518))))) )],[refute_0_997,refute_0_998]) ).

cnf(refute_0_1000,plain,
    ( meet(meet(X_96,meet(X_97,X_516)),X_518) != meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518))
    | meet(X_96,meet(X_97,meet(X_516,X_518))) = meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))) ),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(X_97,meet(X_516,X_518))),meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518))) )],[refute_0_965,refute_0_999]) ).

cnf(refute_0_1001,plain,
    meet(X_96,meet(X_97,meet(X_516,X_518))) = meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_516)),X_518),meet(meet(X_96,meet(X_97,X_516)),meet(X_516,X_518))) )],[refute_0_954,refute_0_1000]) ).

cnf(refute_0_1002,plain,
    ( meet(X_96,meet(X_97,meet(X_516,X_518))) != meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518))))
    | meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))) = meet(X_96,meet(X_97,meet(X_516,X_518))) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_96,meet(X_97,meet(X_516,X_518))))),bind(Y0,$fot(meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518))))))]]) ).

cnf(refute_0_1003,plain,
    meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518)))) = meet(X_96,meet(X_97,meet(X_516,X_518))),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(X_97,meet(X_516,X_518))),meet(X_516,meet(X_96,meet(X_97,meet(X_516,X_518))))) )],[refute_0_1001,refute_0_1002]) ).

cnf(refute_0_1004,plain,
    meet(X_1538,meet(X_1537,meet(X_257,meet(X_1538,Y)))) = meet(X_1537,meet(X_257,meet(X_1538,Y))),
    inference(subst,[],[refute_0_1003:[bind(X_516,$fot(X_1538)),bind(X_518,$fot(Y)),bind(X_96,$fot(X_1537)),bind(X_97,$fot(X_257))]]) ).

cnf(refute_0_1005,plain,
    ( meet(X_1118,meet(Y,X_1117)) != meet(X_1117,meet(Y,X_1118))
    | meet(X_1117,meet(Y,X_1118)) = meet(X_1118,meet(Y,X_1117)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_1118,meet(Y,X_1117)))),bind(Y0,$fot(meet(X_1117,meet(Y,X_1118))))]]) ).

cnf(refute_0_1006,plain,
    meet(X_1117,meet(Y,X_1118)) = meet(X_1118,meet(Y,X_1117)),
    inference(resolve,[$cnf( $equal(meet(X_1118,meet(Y,X_1117)),meet(X_1117,meet(Y,X_1118))) )],[refute_0_913,refute_0_1005]) ).

cnf(refute_0_1007,plain,
    meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) = meet(X_1538,meet(X_1537,meet(X_257,meet(X_1538,Y)))),
    inference(subst,[],[refute_0_1006:[bind(Y,$fot(X_1537)),bind(X_1117,$fot(meet(X_257,meet(X_1538,Y)))),bind(X_1118,$fot(X_1538))]]) ).

cnf(refute_0_1008,plain,
    ( meet(X_1538,meet(X_1537,meet(X_257,meet(X_1538,Y)))) != meet(X_1537,meet(X_257,meet(X_1538,Y)))
    | meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) != meet(X_1538,meet(X_1537,meet(X_257,meet(X_1538,Y))))
    | meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) = meet(X_1537,meet(X_257,meet(X_1538,Y))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)))),bind(Y0,$fot(meet(X_1538,meet(X_1537,meet(X_257,meet(X_1538,Y)))))),bind(Z0,$fot(meet(X_1537,meet(X_257,meet(X_1538,Y)))))]]) ).

cnf(refute_0_1009,plain,
    ( meet(X_1538,meet(X_1537,meet(X_257,meet(X_1538,Y)))) != meet(X_1537,meet(X_257,meet(X_1538,Y)))
    | meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) = meet(X_1537,meet(X_257,meet(X_1538,Y))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)),meet(X_1538,meet(X_1537,meet(X_257,meet(X_1538,Y))))) )],[refute_0_1007,refute_0_1008]) ).

cnf(refute_0_1010,plain,
    meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) = meet(X_1537,meet(X_257,meet(X_1538,Y))),
    inference(resolve,[$cnf( $equal(meet(X_1538,meet(X_1537,meet(X_257,meet(X_1538,Y)))),meet(X_1537,meet(X_257,meet(X_1538,Y)))) )],[refute_0_1004,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    ( meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) != meet(X_1537,meet(X_257,meet(X_1538,Y)))
    | meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) != meet(meet(X_257,meet(X_1538,Y)),X_1537)
    | meet(X_1537,meet(X_257,meet(X_1538,Y))) = meet(meet(X_257,meet(X_1538,Y)),X_1537) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)),meet(meet(X_257,meet(X_1538,Y)),X_1537)) ),[0],$fot(meet(X_1537,meet(X_257,meet(X_1538,Y))))]]) ).

cnf(refute_0_1012,plain,
    ( meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) != meet(meet(X_257,meet(X_1538,Y)),X_1537)
    | meet(X_1537,meet(X_257,meet(X_1538,Y))) = meet(meet(X_257,meet(X_1538,Y)),X_1537) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)),meet(X_1537,meet(X_257,meet(X_1538,Y)))) )],[refute_0_1010,refute_0_1011]) ).

cnf(refute_0_1013,plain,
    meet(meet(X_1538,Y),X_1537) = meet(X_1538,meet(Y,X_1537)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_1538)),bind(Z,$fot(X_1537))]]) ).

cnf(refute_0_1014,plain,
    meet(X_257,meet(meet(X_1538,Y),X_1537)) = meet(X_257,meet(meet(X_1538,Y),X_1537)),
    introduced(tautology,[refl,[$fot(meet(X_257,meet(meet(X_1538,Y),X_1537)))]]) ).

cnf(refute_0_1015,plain,
    ( meet(X_257,meet(meet(X_1538,Y),X_1537)) != meet(X_257,meet(meet(X_1538,Y),X_1537))
    | meet(meet(X_1538,Y),X_1537) != meet(X_1538,meet(Y,X_1537))
    | meet(X_257,meet(meet(X_1538,Y),X_1537)) = meet(X_257,meet(X_1538,meet(Y,X_1537))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_257,meet(meet(X_1538,Y),X_1537)),meet(X_257,meet(meet(X_1538,Y),X_1537))) ),[1,1],$fot(meet(X_1538,meet(Y,X_1537)))]]) ).

cnf(refute_0_1016,plain,
    ( meet(meet(X_1538,Y),X_1537) != meet(X_1538,meet(Y,X_1537))
    | meet(X_257,meet(meet(X_1538,Y),X_1537)) = meet(X_257,meet(X_1538,meet(Y,X_1537))) ),
    inference(resolve,[$cnf( $equal(meet(X_257,meet(meet(X_1538,Y),X_1537)),meet(X_257,meet(meet(X_1538,Y),X_1537))) )],[refute_0_1014,refute_0_1015]) ).

cnf(refute_0_1017,plain,
    meet(X_257,meet(meet(X_1538,Y),X_1537)) = meet(X_257,meet(X_1538,meet(Y,X_1537))),
    inference(resolve,[$cnf( $equal(meet(meet(X_1538,Y),X_1537),meet(X_1538,meet(Y,X_1537))) )],[refute_0_1013,refute_0_1016]) ).

cnf(refute_0_1018,plain,
    meet(meet(X_257,meet(X_1538,Y)),X_1537) = meet(X_257,meet(meet(X_1538,Y),X_1537)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_257)),bind(Y,$fot(meet(X_1538,Y))),bind(Z,$fot(X_1537))]]) ).

cnf(refute_0_1019,plain,
    ( meet(X_257,meet(meet(X_1538,Y),X_1537)) != meet(X_257,meet(X_1538,meet(Y,X_1537)))
    | meet(meet(X_257,meet(X_1538,Y)),X_1537) != meet(X_257,meet(meet(X_1538,Y),X_1537))
    | meet(meet(X_257,meet(X_1538,Y)),X_1537) = meet(X_257,meet(X_1538,meet(Y,X_1537))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_257,meet(X_1538,Y)),X_1537))),bind(Y0,$fot(meet(X_257,meet(meet(X_1538,Y),X_1537)))),bind(Z0,$fot(meet(X_257,meet(X_1538,meet(Y,X_1537)))))]]) ).

cnf(refute_0_1020,plain,
    ( meet(X_257,meet(meet(X_1538,Y),X_1537)) != meet(X_257,meet(X_1538,meet(Y,X_1537)))
    | meet(meet(X_257,meet(X_1538,Y)),X_1537) = meet(X_257,meet(X_1538,meet(Y,X_1537))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_257,meet(X_1538,Y)),X_1537),meet(X_257,meet(meet(X_1538,Y),X_1537))) )],[refute_0_1018,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    meet(meet(X_257,meet(X_1538,Y)),X_1537) = meet(X_257,meet(X_1538,meet(Y,X_1537))),
    inference(resolve,[$cnf( $equal(meet(X_257,meet(meet(X_1538,Y),X_1537)),meet(X_257,meet(X_1538,meet(Y,X_1537)))) )],[refute_0_1017,refute_0_1020]) ).

cnf(refute_0_1022,plain,
    ( meet(X_1537,meet(X_257,meet(X_1538,Y))) != meet(meet(X_257,meet(X_1538,Y)),X_1537)
    | meet(meet(X_257,meet(X_1538,Y)),X_1537) != meet(X_257,meet(X_1538,meet(Y,X_1537)))
    | meet(X_1537,meet(X_257,meet(X_1538,Y))) = meet(X_257,meet(X_1538,meet(Y,X_1537))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_1537,meet(X_257,meet(X_1538,Y))),meet(X_257,meet(X_1538,meet(Y,X_1537)))) ),[0],$fot(meet(meet(X_257,meet(X_1538,Y)),X_1537))]]) ).

cnf(refute_0_1023,plain,
    ( meet(X_1537,meet(X_257,meet(X_1538,Y))) != meet(meet(X_257,meet(X_1538,Y)),X_1537)
    | meet(X_1537,meet(X_257,meet(X_1538,Y))) = meet(X_257,meet(X_1538,meet(Y,X_1537))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_257,meet(X_1538,Y)),X_1537),meet(X_257,meet(X_1538,meet(Y,X_1537)))) )],[refute_0_1021,refute_0_1022]) ).

cnf(refute_0_1024,plain,
    ( meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)) != meet(meet(X_257,meet(X_1538,Y)),X_1537)
    | meet(X_1537,meet(X_257,meet(X_1538,Y))) = meet(X_257,meet(X_1538,meet(Y,X_1537))) ),
    inference(resolve,[$cnf( $equal(meet(X_1537,meet(X_257,meet(X_1538,Y))),meet(meet(X_257,meet(X_1538,Y)),X_1537)) )],[refute_0_1012,refute_0_1023]) ).

cnf(refute_0_1025,plain,
    meet(X_1537,meet(X_257,meet(X_1538,Y))) = meet(X_257,meet(X_1538,meet(Y,X_1537))),
    inference(resolve,[$cnf( $equal(meet(meet(X_257,meet(X_1538,Y)),meet(X_1537,X_1538)),meet(meet(X_257,meet(X_1538,Y)),X_1537)) )],[refute_0_949,refute_0_1024]) ).

cnf(refute_0_1026,plain,
    meet(r2,meet(a,meet(X_1921,X_1920))) = meet(a,meet(X_1921,meet(X_1920,r2))),
    inference(subst,[],[refute_0_1025:[bind(Y,$fot(X_1920)),bind(X_1537,$fot(r2)),bind(X_1538,$fot(X_1921)),bind(X_257,$fot(a))]]) ).

cnf(refute_0_1027,plain,
    meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(r2,meet(X_1379,X_1378)))) = meet(r2,meet(X_1379,X_1378)),
    inference(subst,[],[refute_0_175:[bind(X,$fot(meet(r2,meet(X_1379,X_1378)))),bind(Y,$fot(a))]]) ).

cnf(refute_0_1028,plain,
    ifeq3(meet(a,X_167),a,meet(X_167,join(a,r2)),join(a,meet(r2,X_167))) = join(a,meet(r2,X_167)),
    inference(subst,[],[modular:[bind(X,$fot(a)),bind(Y,$fot(r2)),bind(Z,$fot(X_167))]]) ).

cnf(refute_0_1029,plain,
    join(join(r2,meet(a,b)),X_70) = join(r2,join(meet(a,b),X_70)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(r2)),bind(Y,$fot(meet(a,b))),bind(Z,$fot(X_70))]]) ).

cnf(refute_0_1030,plain,
    ifeq(complement(r2,meet(a,b)),true,join(r2,meet(a,b)),n1) = n1,
    inference(subst,[],[complement_join:[bind(X,$fot(r2)),bind(Y,$fot(meet(a,b)))]]) ).

cnf(refute_0_1031,plain,
    ( complement(r2,meet(a,b)) != true
    | ifeq(complement(r2,meet(a,b)),true,join(r2,meet(a,b)),n1) != n1
    | ifeq(true,true,join(r2,meet(a,b)),n1) = n1 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(complement(r2,meet(a,b)),true,join(r2,meet(a,b)),n1),n1) ),[0,0],$fot(true)]]) ).

cnf(refute_0_1032,plain,
    ( ifeq(complement(r2,meet(a,b)),true,join(r2,meet(a,b)),n1) != n1
    | ifeq(true,true,join(r2,meet(a,b)),n1) = n1 ),
    inference(resolve,[$cnf( $equal(complement(r2,meet(a,b)),true) )],[complement_of_a_meet_b,refute_0_1031]) ).

cnf(refute_0_1033,plain,
    ifeq(true,true,join(r2,meet(a,b)),n1) = n1,
    inference(resolve,[$cnf( $equal(ifeq(complement(r2,meet(a,b)),true,join(r2,meet(a,b)),n1),n1) )],[refute_0_1030,refute_0_1032]) ).

cnf(refute_0_1034,plain,
    ifeq(true,true,join(r2,meet(a,b)),n1) = join(r2,meet(a,b)),
    inference(subst,[],[ifeq_axiom_002:[bind(A,$fot(true)),bind(B,$fot(join(r2,meet(a,b)))),bind(C,$fot(n1))]]) ).

cnf(refute_0_1035,plain,
    ( ifeq(true,true,join(r2,meet(a,b)),n1) != join(r2,meet(a,b))
    | ifeq(true,true,join(r2,meet(a,b)),n1) != n1
    | join(r2,meet(a,b)) = n1 ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,join(r2,meet(a,b)),n1),n1) ),[0],$fot(join(r2,meet(a,b)))]]) ).

cnf(refute_0_1036,plain,
    ( ifeq(true,true,join(r2,meet(a,b)),n1) != n1
    | join(r2,meet(a,b)) = n1 ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,join(r2,meet(a,b)),n1),join(r2,meet(a,b))) )],[refute_0_1034,refute_0_1035]) ).

cnf(refute_0_1037,plain,
    join(r2,meet(a,b)) = n1,
    inference(resolve,[$cnf( $equal(ifeq(true,true,join(r2,meet(a,b)),n1),n1) )],[refute_0_1033,refute_0_1036]) ).

cnf(refute_0_1038,plain,
    ( join(join(r2,meet(a,b)),X_70) != join(r2,join(meet(a,b),X_70))
    | join(r2,meet(a,b)) != n1
    | join(n1,X_70) = join(r2,join(meet(a,b),X_70)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(r2,meet(a,b)),X_70),join(r2,join(meet(a,b),X_70))) ),[0,0],$fot(n1)]]) ).

cnf(refute_0_1039,plain,
    ( join(join(r2,meet(a,b)),X_70) != join(r2,join(meet(a,b),X_70))
    | join(n1,X_70) = join(r2,join(meet(a,b),X_70)) ),
    inference(resolve,[$cnf( $equal(join(r2,meet(a,b)),n1) )],[refute_0_1037,refute_0_1038]) ).

cnf(refute_0_1040,plain,
    join(n1,X_70) = join(r2,join(meet(a,b),X_70)),
    inference(resolve,[$cnf( $equal(join(join(r2,meet(a,b)),X_70),join(r2,join(meet(a,b),X_70))) )],[refute_0_1029,refute_0_1039]) ).

cnf(refute_0_1041,plain,
    join(X,n1) = join(n1,X),
    inference(subst,[],[commutativity_of_join:[bind(Y,$fot(n1))]]) ).

cnf(refute_0_1042,plain,
    ( join(X,n1) != join(n1,X)
    | join(X,n1) != n1
    | join(n1,X) = n1 ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,n1),n1) ),[0],$fot(join(n1,X))]]) ).

cnf(refute_0_1043,plain,
    ( join(X,n1) != n1
    | join(n1,X) = n1 ),
    inference(resolve,[$cnf( $equal(join(X,n1),join(n1,X)) )],[refute_0_1041,refute_0_1042]) ).

cnf(refute_0_1044,plain,
    join(n1,X) = n1,
    inference(resolve,[$cnf( $equal(join(X,n1),n1) )],[x_join_1,refute_0_1043]) ).

cnf(refute_0_1045,plain,
    join(n1,X_70) = n1,
    inference(subst,[],[refute_0_1044:[bind(X,$fot(X_70))]]) ).

cnf(refute_0_1046,plain,
    ( join(n1,X_70) != join(r2,join(meet(a,b),X_70))
    | join(n1,X_70) != n1
    | n1 = join(r2,join(meet(a,b),X_70)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(n1,X_70),join(r2,join(meet(a,b),X_70))) ),[0],$fot(n1)]]) ).

cnf(refute_0_1047,plain,
    ( join(n1,X_70) != join(r2,join(meet(a,b),X_70))
    | n1 = join(r2,join(meet(a,b),X_70)) ),
    inference(resolve,[$cnf( $equal(join(n1,X_70),n1) )],[refute_0_1045,refute_0_1046]) ).

cnf(refute_0_1048,plain,
    n1 = join(r2,join(meet(a,b),X_70)),
    inference(resolve,[$cnf( $equal(join(n1,X_70),join(r2,join(meet(a,b),X_70))) )],[refute_0_1040,refute_0_1047]) ).

cnf(refute_0_1049,plain,
    n1 = join(r2,join(meet(a,b),X_72)),
    inference(subst,[],[refute_0_1048:[bind(X_70,$fot(X_72))]]) ).

cnf(refute_0_1050,plain,
    join(X_72,meet(a,b)) = join(meet(a,b),X_72),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_72)),bind(Y,$fot(meet(a,b)))]]) ).

cnf(refute_0_1051,plain,
    ( join(X_72,meet(a,b)) != join(meet(a,b),X_72)
    | join(meet(a,b),X_72) = join(X_72,meet(a,b)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X_72,meet(a,b)))),bind(Y0,$fot(join(meet(a,b),X_72)))]]) ).

cnf(refute_0_1052,plain,
    join(meet(a,b),X_72) = join(X_72,meet(a,b)),
    inference(resolve,[$cnf( $equal(join(X_72,meet(a,b)),join(meet(a,b),X_72)) )],[refute_0_1050,refute_0_1051]) ).

cnf(refute_0_1053,plain,
    ( join(meet(a,b),X_72) != join(X_72,meet(a,b))
    | n1 != join(r2,join(meet(a,b),X_72))
    | n1 = join(r2,join(X_72,meet(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(n1,join(r2,join(meet(a,b),X_72))) ),[1,1],$fot(join(X_72,meet(a,b)))]]) ).

cnf(refute_0_1054,plain,
    ( n1 != join(r2,join(meet(a,b),X_72))
    | n1 = join(r2,join(X_72,meet(a,b))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,b),X_72),join(X_72,meet(a,b))) )],[refute_0_1052,refute_0_1053]) ).

cnf(refute_0_1055,plain,
    n1 = join(r2,join(X_72,meet(a,b))),
    inference(resolve,[$cnf( $equal(n1,join(r2,join(meet(a,b),X_72))) )],[refute_0_1049,refute_0_1054]) ).

cnf(refute_0_1056,plain,
    n1 = join(r2,join(a,meet(a,b))),
    inference(subst,[],[refute_0_1055:[bind(X_72,$fot(a))]]) ).

cnf(refute_0_1057,plain,
    join(a,meet(a,b)) = a,
    inference(subst,[],[absorption2:[bind(X,$fot(a)),bind(Y,$fot(b))]]) ).

cnf(refute_0_1058,plain,
    ( join(a,meet(a,b)) != a
    | n1 != join(r2,join(a,meet(a,b)))
    | n1 = join(r2,a) ),
    introduced(tautology,[equality,[$cnf( $equal(n1,join(r2,join(a,meet(a,b)))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_1059,plain,
    ( n1 != join(r2,join(a,meet(a,b)))
    | n1 = join(r2,a) ),
    inference(resolve,[$cnf( $equal(join(a,meet(a,b)),a) )],[refute_0_1057,refute_0_1058]) ).

cnf(refute_0_1060,plain,
    n1 = join(r2,a),
    inference(resolve,[$cnf( $equal(n1,join(r2,join(a,meet(a,b)))) )],[refute_0_1056,refute_0_1059]) ).

cnf(refute_0_1061,plain,
    ( join(X,Y) != join(Y,X)
    | join(Y,X) = join(X,Y) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(join(X,Y))),bind(Y0,$fot(join(Y,X)))]]) ).

cnf(refute_0_1062,plain,
    join(Y,X) = join(X,Y),
    inference(resolve,[$cnf( $equal(join(X,Y),join(Y,X)) )],[commutativity_of_join,refute_0_1061]) ).

cnf(refute_0_1063,plain,
    join(r2,a) = join(a,r2),
    inference(subst,[],[refute_0_1062:[bind(X,$fot(a)),bind(Y,$fot(r2))]]) ).

cnf(refute_0_1064,plain,
    ( join(r2,a) != join(a,r2)
    | n1 != join(r2,a)
    | n1 = join(a,r2) ),
    introduced(tautology,[equality,[$cnf( $equal(n1,join(r2,a)) ),[1],$fot(join(a,r2))]]) ).

cnf(refute_0_1065,plain,
    ( n1 != join(r2,a)
    | n1 = join(a,r2) ),
    inference(resolve,[$cnf( $equal(join(r2,a),join(a,r2)) )],[refute_0_1063,refute_0_1064]) ).

cnf(refute_0_1066,plain,
    n1 = join(a,r2),
    inference(resolve,[$cnf( $equal(n1,join(r2,a)) )],[refute_0_1060,refute_0_1065]) ).

cnf(refute_0_1067,plain,
    ( n1 != join(a,r2)
    | join(a,r2) = n1 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(join(a,r2)))]]) ).

cnf(refute_0_1068,plain,
    join(a,r2) = n1,
    inference(resolve,[$cnf( $equal(n1,join(a,r2)) )],[refute_0_1066,refute_0_1067]) ).

cnf(refute_0_1069,plain,
    ( ifeq3(meet(a,X_167),a,meet(X_167,join(a,r2)),join(a,meet(r2,X_167))) != join(a,meet(r2,X_167))
    | join(a,r2) != n1
    | ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) = join(a,meet(r2,X_167)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(a,X_167),a,meet(X_167,join(a,r2)),join(a,meet(r2,X_167))),join(a,meet(r2,X_167))) ),[0,2,1],$fot(n1)]]) ).

cnf(refute_0_1070,plain,
    ( ifeq3(meet(a,X_167),a,meet(X_167,join(a,r2)),join(a,meet(r2,X_167))) != join(a,meet(r2,X_167))
    | ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) = join(a,meet(r2,X_167)) ),
    inference(resolve,[$cnf( $equal(join(a,r2),n1) )],[refute_0_1068,refute_0_1069]) ).

cnf(refute_0_1071,plain,
    ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) = join(a,meet(r2,X_167)),
    inference(resolve,[$cnf( $equal(ifeq3(meet(a,X_167),a,meet(X_167,join(a,r2)),join(a,meet(r2,X_167))),join(a,meet(r2,X_167))) )],[refute_0_1028,refute_0_1070]) ).

cnf(refute_0_1072,plain,
    meet(X_167,n1) = X_167,
    inference(subst,[],[x_meet_1:[bind(X,$fot(X_167))]]) ).

cnf(refute_0_1073,plain,
    ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) = ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))),
    introduced(tautology,[refl,[$fot(ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))))]]) ).

cnf(refute_0_1074,plain,
    ( ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) != ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167)))
    | meet(X_167,n1) != X_167
    | ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) = ifeq3(meet(a,X_167),a,X_167,join(a,meet(r2,X_167))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))),ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167)))) ),[1,2],$fot(X_167)]]) ).

cnf(refute_0_1075,plain,
    ( meet(X_167,n1) != X_167
    | ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) = ifeq3(meet(a,X_167),a,X_167,join(a,meet(r2,X_167))) ),
    inference(resolve,[$cnf( $equal(ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))),ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167)))) )],[refute_0_1073,refute_0_1074]) ).

cnf(refute_0_1076,plain,
    ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) = ifeq3(meet(a,X_167),a,X_167,join(a,meet(r2,X_167))),
    inference(resolve,[$cnf( $equal(meet(X_167,n1),X_167) )],[refute_0_1072,refute_0_1075]) ).

cnf(refute_0_1077,plain,
    ( ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) != ifeq3(meet(a,X_167),a,X_167,join(a,meet(r2,X_167)))
    | ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) != join(a,meet(r2,X_167))
    | ifeq3(meet(a,X_167),a,X_167,join(a,meet(r2,X_167))) = join(a,meet(r2,X_167)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))),join(a,meet(r2,X_167))) ),[0],$fot(ifeq3(meet(a,X_167),a,X_167,join(a,meet(r2,X_167))))]]) ).

cnf(refute_0_1078,plain,
    ( ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))) != join(a,meet(r2,X_167))
    | ifeq3(meet(a,X_167),a,X_167,join(a,meet(r2,X_167))) = join(a,meet(r2,X_167)) ),
    inference(resolve,[$cnf( $equal(ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))),ifeq3(meet(a,X_167),a,X_167,join(a,meet(r2,X_167)))) )],[refute_0_1076,refute_0_1077]) ).

cnf(refute_0_1079,plain,
    ifeq3(meet(a,X_167),a,X_167,join(a,meet(r2,X_167))) = join(a,meet(r2,X_167)),
    inference(resolve,[$cnf( $equal(ifeq3(meet(a,X_167),a,meet(X_167,n1),join(a,meet(r2,X_167))),join(a,meet(r2,X_167))) )],[refute_0_1071,refute_0_1078]) ).

cnf(refute_0_1080,plain,
    ifeq3(meet(a,X_182),a,X_182,join(a,meet(r2,X_182))) = join(a,meet(r2,X_182)),
    inference(subst,[],[refute_0_1079:[bind(X_167,$fot(X_182))]]) ).

cnf(refute_0_1081,plain,
    meet(X_182,r2) = meet(r2,X_182),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_182)),bind(Y,$fot(r2))]]) ).

cnf(refute_0_1082,plain,
    ( meet(X_182,r2) != meet(r2,X_182)
    | meet(r2,X_182) = meet(X_182,r2) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X_182,r2))),bind(Y0,$fot(meet(r2,X_182)))]]) ).

cnf(refute_0_1083,plain,
    meet(r2,X_182) = meet(X_182,r2),
    inference(resolve,[$cnf( $equal(meet(X_182,r2),meet(r2,X_182)) )],[refute_0_1081,refute_0_1082]) ).

cnf(refute_0_1084,plain,
    ( ifeq3(meet(a,X_182),a,X_182,join(a,meet(r2,X_182))) != join(a,meet(r2,X_182))
    | meet(r2,X_182) != meet(X_182,r2)
    | ifeq3(meet(a,X_182),a,X_182,join(a,meet(X_182,r2))) = join(a,meet(r2,X_182)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(a,X_182),a,X_182,join(a,meet(r2,X_182))),join(a,meet(r2,X_182))) ),[0,3,1],$fot(meet(X_182,r2))]]) ).

cnf(refute_0_1085,plain,
    ( ifeq3(meet(a,X_182),a,X_182,join(a,meet(r2,X_182))) != join(a,meet(r2,X_182))
    | ifeq3(meet(a,X_182),a,X_182,join(a,meet(X_182,r2))) = join(a,meet(r2,X_182)) ),
    inference(resolve,[$cnf( $equal(meet(r2,X_182),meet(X_182,r2)) )],[refute_0_1083,refute_0_1084]) ).

cnf(refute_0_1086,plain,
    ifeq3(meet(a,X_182),a,X_182,join(a,meet(X_182,r2))) = join(a,meet(r2,X_182)),
    inference(resolve,[$cnf( $equal(ifeq3(meet(a,X_182),a,X_182,join(a,meet(r2,X_182))),join(a,meet(r2,X_182))) )],[refute_0_1080,refute_0_1085]) ).

cnf(refute_0_1087,plain,
    ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))) = join(a,meet(r2,meet(X_97,X))),
    inference(subst,[],[refute_0_1086:[bind(X_182,$fot(meet(X_97,X)))]]) ).

cnf(refute_0_1088,plain,
    meet(X,meet(r2,X_97)) = meet(r2,meet(X_97,X)),
    inference(subst,[],[refute_0_719:[bind(X_96,$fot(r2))]]) ).

cnf(refute_0_1089,plain,
    ( meet(X,meet(r2,X_97)) != meet(r2,meet(X_97,X))
    | meet(r2,meet(X_97,X)) = meet(X,meet(r2,X_97)) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(X,meet(r2,X_97)))),bind(Y0,$fot(meet(r2,meet(X_97,X))))]]) ).

cnf(refute_0_1090,plain,
    meet(r2,meet(X_97,X)) = meet(X,meet(r2,X_97)),
    inference(resolve,[$cnf( $equal(meet(X,meet(r2,X_97)),meet(r2,meet(X_97,X))) )],[refute_0_1088,refute_0_1089]) ).

cnf(refute_0_1091,plain,
    ( ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))) != join(a,meet(r2,meet(X_97,X)))
    | meet(r2,meet(X_97,X)) != meet(X,meet(r2,X_97))
    | ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))) = join(a,meet(X,meet(r2,X_97))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))),join(a,meet(r2,meet(X_97,X)))) ),[1,1],$fot(meet(X,meet(r2,X_97)))]]) ).

cnf(refute_0_1092,plain,
    ( ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))) != join(a,meet(r2,meet(X_97,X)))
    | ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))) = join(a,meet(X,meet(r2,X_97))) ),
    inference(resolve,[$cnf( $equal(meet(r2,meet(X_97,X)),meet(X,meet(r2,X_97))) )],[refute_0_1090,refute_0_1091]) ).

cnf(refute_0_1093,plain,
    ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))) = join(a,meet(X,meet(r2,X_97))),
    inference(resolve,[$cnf( $equal(ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))),join(a,meet(r2,meet(X_97,X)))) )],[refute_0_1087,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    ( ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))) != join(a,meet(X,meet(r2,X_97)))
    | ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))) != join(a,meet(r2,meet(X_97,X)))
    | join(a,meet(r2,meet(X_97,X))) = join(a,meet(X,meet(r2,X_97))) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))),join(a,meet(X,meet(r2,X_97)))) ),[0],$fot(join(a,meet(r2,meet(X_97,X))))]]) ).

cnf(refute_0_1095,plain,
    ( ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))) != join(a,meet(X,meet(r2,X_97)))
    | join(a,meet(r2,meet(X_97,X))) = join(a,meet(X,meet(r2,X_97))) ),
    inference(resolve,[$cnf( $equal(ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))),join(a,meet(r2,meet(X_97,X)))) )],[refute_0_1087,refute_0_1094]) ).

cnf(refute_0_1096,plain,
    join(a,meet(r2,meet(X_97,X))) = join(a,meet(X,meet(r2,X_97))),
    inference(resolve,[$cnf( $equal(ifeq3(meet(a,meet(X_97,X)),a,meet(X_97,X),join(a,meet(meet(X_97,X),r2))),join(a,meet(X,meet(r2,X_97)))) )],[refute_0_1093,refute_0_1095]) ).

cnf(refute_0_1097,plain,
    join(a,meet(r2,meet(X_1379,X_1378))) = join(a,meet(X_1378,meet(r2,X_1379))),
    inference(subst,[],[refute_0_1096:[bind(X,$fot(X_1378)),bind(X_97,$fot(X_1379))]]) ).

cnf(refute_0_1098,plain,
    ( join(a,meet(r2,meet(X_1379,X_1378))) != join(a,meet(X_1378,meet(r2,X_1379)))
    | meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(r2,meet(X_1379,X_1378)))) != meet(r2,meet(X_1379,X_1378))
    | meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) = meet(r2,meet(X_1379,X_1378)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(r2,meet(X_1379,X_1378)))),meet(r2,meet(X_1379,X_1378))) ),[0,1],$fot(join(a,meet(X_1378,meet(r2,X_1379))))]]) ).

cnf(refute_0_1099,plain,
    ( meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(r2,meet(X_1379,X_1378)))) != meet(r2,meet(X_1379,X_1378))
    | meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) = meet(r2,meet(X_1379,X_1378)) ),
    inference(resolve,[$cnf( $equal(join(a,meet(r2,meet(X_1379,X_1378))),join(a,meet(X_1378,meet(r2,X_1379)))) )],[refute_0_1097,refute_0_1098]) ).

cnf(refute_0_1100,plain,
    meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) = meet(r2,meet(X_1379,X_1378)),
    inference(resolve,[$cnf( $equal(meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(r2,meet(X_1379,X_1378)))),meet(r2,meet(X_1379,X_1378))) )],[refute_0_1027,refute_0_1099]) ).

cnf(refute_0_1101,plain,
    meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379)))) = meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_1379)),bind(Y,$fot(X_1378)),bind(Z,$fot(join(a,meet(X_1378,meet(r2,X_1379)))))]]) ).

cnf(refute_0_1102,plain,
    meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))) = meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))),
    introduced(tautology,[refl,[$fot(meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))))]]) ).

cnf(refute_0_1103,plain,
    ( meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379)))) != meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))
    | meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))) != meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379)))))
    | meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))) = meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))),meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379)))))) ),[1,1],$fot(meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379))))))]]) ).

cnf(refute_0_1104,plain,
    ( meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379)))) != meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))
    | meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))) = meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) ),
    inference(resolve,[$cnf( $equal(meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))),meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379)))))) )],[refute_0_1102,refute_0_1103]) ).

cnf(refute_0_1105,plain,
    meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))) = meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))),
    inference(resolve,[$cnf( $equal(meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379)))),meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) )],[refute_0_1101,refute_0_1104]) ).

cnf(refute_0_1106,plain,
    meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) = meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(r2)),bind(Y,$fot(meet(X_1379,X_1378))),bind(Z,$fot(join(a,meet(X_1378,meet(r2,X_1379)))))]]) ).

cnf(refute_0_1107,plain,
    ( meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) != meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379)))))
    | meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))) != meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379))))))
    | meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) = meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))))),bind(Y0,$fot(meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))))),bind(Z0,$fot(meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379))))))))]]) ).

cnf(refute_0_1108,plain,
    ( meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))) != meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379))))))
    | meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) = meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))),meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379)))))) )],[refute_0_1106,refute_0_1107]) ).

cnf(refute_0_1109,plain,
    meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) = meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))),
    inference(resolve,[$cnf( $equal(meet(r2,meet(meet(X_1379,X_1378),join(a,meet(X_1378,meet(r2,X_1379))))),meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379))))))) )],[refute_0_1105,refute_0_1108]) ).

cnf(refute_0_1110,plain,
    ( meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) != meet(r2,meet(X_1379,X_1378))
    | meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) != meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379))))))
    | meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) = meet(r2,meet(X_1379,X_1378)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))),meet(r2,meet(X_1379,X_1378))) ),[0],$fot(meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))))]]) ).

cnf(refute_0_1111,plain,
    ( meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))) != meet(r2,meet(X_1379,X_1378))
    | meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) = meet(r2,meet(X_1379,X_1378)) ),
    inference(resolve,[$cnf( $equal(meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))),meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379))))))) )],[refute_0_1109,refute_0_1110]) ).

cnf(refute_0_1112,plain,
    meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) = meet(r2,meet(X_1379,X_1378)),
    inference(resolve,[$cnf( $equal(meet(meet(r2,meet(X_1379,X_1378)),join(a,meet(X_1378,meet(r2,X_1379)))),meet(r2,meet(X_1379,X_1378))) )],[refute_0_1100,refute_0_1111]) ).

cnf(refute_0_1113,plain,
    meet(meet(X_96,X_97),join(Y,meet(X_96,X_97))) = meet(X_96,X_97),
    inference(subst,[],[refute_0_175:[bind(X,$fot(meet(X_96,X_97)))]]) ).

cnf(refute_0_1114,plain,
    meet(meet(X_96,X_97),join(Y,meet(X_96,X_97))) = meet(X_96,meet(X_97,join(Y,meet(X_96,X_97)))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(X_97)),bind(Z,$fot(join(Y,meet(X_96,X_97))))]]) ).

cnf(refute_0_1115,plain,
    ( meet(meet(X_96,X_97),join(Y,meet(X_96,X_97))) != meet(X_96,X_97)
    | meet(meet(X_96,X_97),join(Y,meet(X_96,X_97))) != meet(X_96,meet(X_97,join(Y,meet(X_96,X_97))))
    | meet(X_96,meet(X_97,join(Y,meet(X_96,X_97)))) = meet(X_96,X_97) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_96,X_97),join(Y,meet(X_96,X_97))),meet(X_96,X_97)) ),[0],$fot(meet(X_96,meet(X_97,join(Y,meet(X_96,X_97)))))]]) ).

cnf(refute_0_1116,plain,
    ( meet(meet(X_96,X_97),join(Y,meet(X_96,X_97))) != meet(X_96,X_97)
    | meet(X_96,meet(X_97,join(Y,meet(X_96,X_97)))) = meet(X_96,X_97) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,X_97),join(Y,meet(X_96,X_97))),meet(X_96,meet(X_97,join(Y,meet(X_96,X_97))))) )],[refute_0_1114,refute_0_1115]) ).

cnf(refute_0_1117,plain,
    meet(X_96,meet(X_97,join(Y,meet(X_96,X_97)))) = meet(X_96,X_97),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,X_97),join(Y,meet(X_96,X_97))),meet(X_96,X_97)) )],[refute_0_1113,refute_0_1116]) ).

cnf(refute_0_1118,plain,
    meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,meet(X_97,X_1756)))))) = meet(X_1756,meet(X_96,meet(X_97,X_1756))),
    inference(subst,[],[refute_0_1117:[bind(Y,$fot(X_1755)),bind(X_96,$fot(X_1756)),bind(X_97,$fot(meet(X_96,meet(X_97,X_1756))))]]) ).

cnf(refute_0_1119,plain,
    meet(X_1756,meet(X_96,meet(X_97,X_1756))) = meet(X_1756,meet(X_96,X_97)),
    inference(subst,[],[refute_0_838:[bind(X_44,$fot(X_1756))]]) ).

cnf(refute_0_1120,plain,
    ( meet(X_1756,meet(X_96,meet(X_97,X_1756))) != meet(X_1756,meet(X_96,X_97))
    | meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,meet(X_97,X_1756)))))) != meet(X_1756,meet(X_96,meet(X_97,X_1756)))
    | meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_1756,meet(X_96,meet(X_97,X_1756))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,meet(X_97,X_1756)))))),meet(X_1756,meet(X_96,meet(X_97,X_1756)))) ),[0,1,1,1],$fot(meet(X_1756,meet(X_96,X_97)))]]) ).

cnf(refute_0_1121,plain,
    ( meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,meet(X_97,X_1756)))))) != meet(X_1756,meet(X_96,meet(X_97,X_1756)))
    | meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_1756,meet(X_96,meet(X_97,X_1756))) ),
    inference(resolve,[$cnf( $equal(meet(X_1756,meet(X_96,meet(X_97,X_1756))),meet(X_1756,meet(X_96,X_97))) )],[refute_0_1119,refute_0_1120]) ).

cnf(refute_0_1122,plain,
    meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_1756,meet(X_96,meet(X_97,X_1756))),
    inference(resolve,[$cnf( $equal(meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,meet(X_97,X_1756)))))),meet(X_1756,meet(X_96,meet(X_97,X_1756)))) )],[refute_0_1118,refute_0_1121]) ).

cnf(refute_0_1123,plain,
    meet(X_1756,meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))) = meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))),
    inference(subst,[],[refute_0_1003:[bind(X_516,$fot(X_1756)),bind(X_518,$fot(join(X_1755,meet(X_1756,meet(X_96,X_97)))))]]) ).

cnf(refute_0_1124,plain,
    meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97)))) = meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_97)),bind(Y,$fot(X_1756)),bind(Z,$fot(join(X_1755,meet(X_1756,meet(X_96,X_97)))))]]) ).

cnf(refute_0_1125,plain,
    meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))),
    introduced(tautology,[refl,[$fot(meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))))]]) ).

cnf(refute_0_1126,plain,
    ( meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))) != meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97)))))
    | meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97)))) != meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))
    | meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))),meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97)))))) ),[1,1],$fot(meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))]]) ).

cnf(refute_0_1127,plain,
    ( meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97)))) != meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))
    | meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) ),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))),meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97)))))) )],[refute_0_1125,refute_0_1126]) ).

cnf(refute_0_1128,plain,
    meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))),
    inference(resolve,[$cnf( $equal(meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97)))),meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) )],[refute_0_1124,refute_0_1127]) ).

cnf(refute_0_1129,plain,
    meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))) = meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_96)),bind(Y,$fot(meet(X_97,X_1756))),bind(Z,$fot(join(X_1755,meet(X_1756,meet(X_96,X_97)))))]]) ).

cnf(refute_0_1130,plain,
    ( meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))) != meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))
    | meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))) != meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97)))))
    | meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))) = meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))))),bind(Y0,$fot(meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))))),bind(Z0,$fot(meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))))]]) ).

cnf(refute_0_1131,plain,
    ( meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))) != meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))
    | meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))) = meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))),meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97)))))) )],[refute_0_1129,refute_0_1130]) ).

cnf(refute_0_1132,plain,
    meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))) = meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(meet(X_97,X_1756),join(X_1755,meet(X_1756,meet(X_96,X_97))))),meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))) )],[refute_0_1128,refute_0_1131]) ).

cnf(refute_0_1133,plain,
    meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))),
    introduced(tautology,[refl,[$fot(meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))))]]) ).

cnf(refute_0_1134,plain,
    ( meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) != meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))))
    | meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))) != meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))
    | meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_1756,meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))),meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))))) ),[1,1],$fot(meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))))]]) ).

cnf(refute_0_1135,plain,
    ( meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))) != meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))
    | meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_1756,meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))) ),
    inference(resolve,[$cnf( $equal(meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))),meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))))) )],[refute_0_1133,refute_0_1134]) ).

cnf(refute_0_1136,plain,
    meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_1756,meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))),
    inference(resolve,[$cnf( $equal(meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97)))),meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))) )],[refute_0_1132,refute_0_1135]) ).

cnf(refute_0_1137,plain,
    ( meet(X_1756,meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))) != meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))
    | meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) != meet(X_1756,meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))))
    | meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))))),bind(Y0,$fot(meet(X_1756,meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))))),bind(Z0,$fot(meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))))]]) ).

cnf(refute_0_1138,plain,
    ( meet(X_1756,meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))) != meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))
    | meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) ),
    inference(resolve,[$cnf( $equal(meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))),meet(X_1756,meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))))) )],[refute_0_1136,refute_0_1137]) ).

cnf(refute_0_1139,plain,
    meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) = meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))),
    inference(resolve,[$cnf( $equal(meet(X_1756,meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))),meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))) )],[refute_0_1123,refute_0_1138]) ).

cnf(refute_0_1140,plain,
    ( meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) != meet(X_1756,meet(X_96,meet(X_97,X_1756)))
    | meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) != meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))
    | meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) = meet(X_1756,meet(X_96,meet(X_97,X_1756))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))),meet(X_1756,meet(X_96,meet(X_97,X_1756)))) ),[0],$fot(meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))))]]) ).

cnf(refute_0_1141,plain,
    ( meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) != meet(X_1756,meet(X_96,meet(X_97,X_1756)))
    | meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) = meet(X_1756,meet(X_96,meet(X_97,X_1756))) ),
    inference(resolve,[$cnf( $equal(meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))),meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97))))))) )],[refute_0_1139,refute_0_1140]) ).

cnf(refute_0_1142,plain,
    ( meet(X_1756,meet(X_96,meet(X_97,X_1756))) != meet(X_1756,meet(X_96,X_97))
    | meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) != meet(X_1756,meet(X_96,meet(X_97,X_1756)))
    | meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) = meet(X_1756,meet(X_96,X_97)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))),meet(X_1756,meet(X_96,meet(X_97,X_1756)))) ),[1],$fot(meet(X_1756,meet(X_96,X_97)))]]) ).

cnf(refute_0_1143,plain,
    ( meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) != meet(X_1756,meet(X_96,meet(X_97,X_1756)))
    | meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) = meet(X_1756,meet(X_96,X_97)) ),
    inference(resolve,[$cnf( $equal(meet(X_1756,meet(X_96,meet(X_97,X_1756))),meet(X_1756,meet(X_96,X_97))) )],[refute_0_1119,refute_0_1142]) ).

cnf(refute_0_1144,plain,
    ( meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))) != meet(X_1756,meet(X_96,meet(X_97,X_1756)))
    | meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) = meet(X_1756,meet(X_96,X_97)) ),
    inference(resolve,[$cnf( $equal(meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))),meet(X_1756,meet(X_96,meet(X_97,X_1756)))) )],[refute_0_1141,refute_0_1143]) ).

cnf(refute_0_1145,plain,
    meet(X_96,meet(X_97,meet(X_1756,join(X_1755,meet(X_1756,meet(X_96,X_97)))))) = meet(X_1756,meet(X_96,X_97)),
    inference(resolve,[$cnf( $equal(meet(X_1756,meet(meet(X_96,meet(X_97,X_1756)),join(X_1755,meet(X_1756,meet(X_96,X_97))))),meet(X_1756,meet(X_96,meet(X_97,X_1756)))) )],[refute_0_1122,refute_0_1144]) ).

cnf(refute_0_1146,plain,
    meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) = meet(X_1378,meet(r2,X_1379)),
    inference(subst,[],[refute_0_1145:[bind(X_1755,$fot(a)),bind(X_1756,$fot(X_1378)),bind(X_96,$fot(r2)),bind(X_97,$fot(X_1379))]]) ).

cnf(refute_0_1147,plain,
    ( meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) != meet(X_1378,meet(r2,X_1379))
    | meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) != meet(r2,meet(X_1379,X_1378))
    | meet(X_1378,meet(r2,X_1379)) = meet(r2,meet(X_1379,X_1378)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))),meet(r2,meet(X_1379,X_1378))) ),[0],$fot(meet(X_1378,meet(r2,X_1379)))]]) ).

cnf(refute_0_1148,plain,
    ( meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))) != meet(r2,meet(X_1379,X_1378))
    | meet(X_1378,meet(r2,X_1379)) = meet(r2,meet(X_1379,X_1378)) ),
    inference(resolve,[$cnf( $equal(meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))),meet(X_1378,meet(r2,X_1379))) )],[refute_0_1146,refute_0_1147]) ).

cnf(refute_0_1149,plain,
    meet(X_1378,meet(r2,X_1379)) = meet(r2,meet(X_1379,X_1378)),
    inference(resolve,[$cnf( $equal(meet(r2,meet(X_1379,meet(X_1378,join(a,meet(X_1378,meet(r2,X_1379)))))),meet(r2,meet(X_1379,X_1378))) )],[refute_0_1112,refute_0_1148]) ).

cnf(refute_0_1150,plain,
    meet(meet(X_1921,X_1920),meet(r2,a)) = meet(r2,meet(a,meet(X_1921,X_1920))),
    inference(subst,[],[refute_0_1149:[bind(X_1378,$fot(meet(X_1921,X_1920))),bind(X_1379,$fot(a))]]) ).

cnf(refute_0_1151,plain,
    ( meet(meet(X_1921,X_1920),meet(r2,a)) != meet(r2,meet(a,meet(X_1921,X_1920)))
    | meet(r2,meet(a,meet(X_1921,X_1920))) != meet(a,meet(X_1921,meet(X_1920,r2)))
    | meet(meet(X_1921,X_1920),meet(r2,a)) = meet(a,meet(X_1921,meet(X_1920,r2))) ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(meet(X_1921,X_1920),meet(r2,a)))),bind(Y0,$fot(meet(r2,meet(a,meet(X_1921,X_1920))))),bind(Z0,$fot(meet(a,meet(X_1921,meet(X_1920,r2)))))]]) ).

cnf(refute_0_1152,plain,
    ( meet(r2,meet(a,meet(X_1921,X_1920))) != meet(a,meet(X_1921,meet(X_1920,r2)))
    | meet(meet(X_1921,X_1920),meet(r2,a)) = meet(a,meet(X_1921,meet(X_1920,r2))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_1921,X_1920),meet(r2,a)),meet(r2,meet(a,meet(X_1921,X_1920)))) )],[refute_0_1150,refute_0_1151]) ).

cnf(refute_0_1153,plain,
    meet(meet(X_1921,X_1920),meet(r2,a)) = meet(a,meet(X_1921,meet(X_1920,r2))),
    inference(resolve,[$cnf( $equal(meet(r2,meet(a,meet(X_1921,X_1920))),meet(a,meet(X_1921,meet(X_1920,r2)))) )],[refute_0_1026,refute_0_1152]) ).

cnf(refute_0_1154,plain,
    ( meet(meet(X_1921,X_1920),meet(r2,a)) != meet(X_1920,meet(X_1921,meet(a,r2)))
    | meet(meet(X_1921,X_1920),meet(r2,a)) != meet(a,meet(X_1921,meet(X_1920,r2)))
    | meet(a,meet(X_1921,meet(X_1920,r2))) = meet(X_1920,meet(X_1921,meet(a,r2))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_1921,X_1920),meet(r2,a)),meet(X_1920,meet(X_1921,meet(a,r2)))) ),[0],$fot(meet(a,meet(X_1921,meet(X_1920,r2))))]]) ).

cnf(refute_0_1155,plain,
    ( meet(meet(X_1921,X_1920),meet(r2,a)) != meet(X_1920,meet(X_1921,meet(a,r2)))
    | meet(a,meet(X_1921,meet(X_1920,r2))) = meet(X_1920,meet(X_1921,meet(a,r2))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_1921,X_1920),meet(r2,a)),meet(a,meet(X_1921,meet(X_1920,r2)))) )],[refute_0_1153,refute_0_1154]) ).

cnf(refute_0_1156,plain,
    meet(a,meet(X_1921,meet(X_1920,r2))) = meet(X_1920,meet(X_1921,meet(a,r2))),
    inference(resolve,[$cnf( $equal(meet(meet(X_1921,X_1920),meet(r2,a)),meet(X_1920,meet(X_1921,meet(a,r2)))) )],[refute_0_918,refute_0_1155]) ).

cnf(refute_0_1157,plain,
    ( meet(a,meet(X_1921,meet(X_1920,r2))) != meet(X_1920,meet(X_1921,meet(a,r2)))
    | meet(X_1920,meet(X_1921,meet(a,r2))) = meet(a,meet(X_1921,meet(X_1920,r2))) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(meet(a,meet(X_1921,meet(X_1920,r2))))),bind(Y0,$fot(meet(X_1920,meet(X_1921,meet(a,r2)))))]]) ).

cnf(refute_0_1158,plain,
    meet(X_1920,meet(X_1921,meet(a,r2))) = meet(a,meet(X_1921,meet(X_1920,r2))),
    inference(resolve,[$cnf( $equal(meet(a,meet(X_1921,meet(X_1920,r2))),meet(X_1920,meet(X_1921,meet(a,r2)))) )],[refute_0_1156,refute_0_1157]) ).

cnf(refute_0_1159,plain,
    meet(b,meet(X_1921,meet(a,r2))) = meet(a,meet(X_1921,meet(b,r2))),
    inference(subst,[],[refute_0_1158:[bind(X_1920,$fot(b))]]) ).

cnf(refute_0_1160,plain,
    ( meet(a,meet(X_1921,meet(b,r2))) != n0
    | meet(b,meet(X_1921,meet(a,r2))) != meet(a,meet(X_1921,meet(b,r2)))
    | meet(b,meet(X_1921,meet(a,r2))) = n0 ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(b,meet(X_1921,meet(a,r2))))),bind(Y0,$fot(meet(a,meet(X_1921,meet(b,r2))))),bind(Z0,$fot(n0))]]) ).

cnf(refute_0_1161,plain,
    ( meet(a,meet(X_1921,meet(b,r2))) != n0
    | meet(b,meet(X_1921,meet(a,r2))) = n0 ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_1921,meet(a,r2))),meet(a,meet(X_1921,meet(b,r2)))) )],[refute_0_1159,refute_0_1160]) ).

cnf(refute_0_1162,plain,
    meet(b,meet(X_1921,meet(a,r2))) = n0,
    inference(resolve,[$cnf( $equal(meet(a,meet(X_1921,meet(b,r2))),n0) )],[refute_0_832,refute_0_1161]) ).

cnf(refute_0_1163,plain,
    ( meet(b,join(r1,meet(a,meet(r2,X_1921)))) != meet(b,meet(X_1921,meet(a,r2)))
    | meet(b,meet(X_1921,meet(a,r2))) != n0
    | meet(b,join(r1,meet(a,meet(r2,X_1921)))) = n0 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,join(r1,meet(a,meet(r2,X_1921)))),n0) ),[0],$fot(meet(b,meet(X_1921,meet(a,r2))))]]) ).

cnf(refute_0_1164,plain,
    ( meet(b,join(r1,meet(a,meet(r2,X_1921)))) != meet(b,meet(X_1921,meet(a,r2)))
    | meet(b,join(r1,meet(a,meet(r2,X_1921)))) = n0 ),
    inference(resolve,[$cnf( $equal(meet(b,meet(X_1921,meet(a,r2))),n0) )],[refute_0_1162,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    ( meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))) != meet(b,meet(X_1921,meet(a,r2)))
    | meet(b,join(r1,meet(a,meet(r2,X_1921)))) = n0 ),
    inference(resolve,[$cnf( $equal(meet(b,join(r1,meet(a,meet(r2,X_1921)))),meet(b,meet(X_1921,meet(a,r2)))) )],[refute_0_797,refute_0_1164]) ).

cnf(refute_0_1166,plain,
    meet(b,join(r1,meet(a,meet(r2,X_1921)))) = n0,
    inference(resolve,[$cnf( $equal(meet(b,join(r1,meet(a,meet(r2,meet(X_1921,join(a,b)))))),meet(b,meet(X_1921,meet(a,r2)))) )],[refute_0_774,refute_0_1165]) ).

cnf(refute_0_1167,plain,
    meet(b,join(r1,meet(a,meet(r2,join(X_159,join(X,join(Y,r2))))))) = n0,
    inference(subst,[],[refute_0_1166:[bind(X_1921,$fot(join(X_159,join(X,join(Y,r2)))))]]) ).

cnf(refute_0_1168,plain,
    meet(X_158,join(X_159,join(join(X,Y),X_158))) = X_158,
    inference(subst,[],[refute_0_179:[bind(X,$fot(X_158)),bind(X_68,$fot(X_159)),bind(X_69,$fot(join(X,Y)))]]) ).

cnf(refute_0_1169,plain,
    join(join(X,Y),X_158) = join(X,join(Y,X_158)),
    inference(subst,[],[associativity_of_join:[bind(Z,$fot(X_158))]]) ).

cnf(refute_0_1170,plain,
    ( join(join(X,Y),X_158) != join(X,join(Y,X_158))
    | meet(X_158,join(X_159,join(join(X,Y),X_158))) != X_158
    | meet(X_158,join(X_159,join(X,join(Y,X_158)))) = X_158 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_158,join(X_159,join(join(X,Y),X_158))),X_158) ),[0,1,1],$fot(join(X,join(Y,X_158)))]]) ).

cnf(refute_0_1171,plain,
    ( meet(X_158,join(X_159,join(join(X,Y),X_158))) != X_158
    | meet(X_158,join(X_159,join(X,join(Y,X_158)))) = X_158 ),
    inference(resolve,[$cnf( $equal(join(join(X,Y),X_158),join(X,join(Y,X_158))) )],[refute_0_1169,refute_0_1170]) ).

cnf(refute_0_1172,plain,
    meet(X_158,join(X_159,join(X,join(Y,X_158)))) = X_158,
    inference(resolve,[$cnf( $equal(meet(X_158,join(X_159,join(join(X,Y),X_158))),X_158) )],[refute_0_1168,refute_0_1171]) ).

cnf(refute_0_1173,plain,
    meet(r2,join(X_159,join(X,join(Y,r2)))) = r2,
    inference(subst,[],[refute_0_1172:[bind(X_158,$fot(r2))]]) ).

cnf(refute_0_1174,plain,
    ( meet(b,join(r1,meet(a,meet(r2,join(X_159,join(X,join(Y,r2))))))) != n0
    | meet(r2,join(X_159,join(X,join(Y,r2)))) != r2
    | meet(b,join(r1,meet(a,r2))) = n0 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,join(r1,meet(a,meet(r2,join(X_159,join(X,join(Y,r2))))))),n0) ),[0,1,1,1],$fot(r2)]]) ).

cnf(refute_0_1175,plain,
    ( meet(b,join(r1,meet(a,meet(r2,join(X_159,join(X,join(Y,r2))))))) != n0
    | meet(b,join(r1,meet(a,r2))) = n0 ),
    inference(resolve,[$cnf( $equal(meet(r2,join(X_159,join(X,join(Y,r2)))),r2) )],[refute_0_1173,refute_0_1174]) ).

cnf(refute_0_1176,plain,
    meet(b,join(r1,meet(a,r2))) = n0,
    inference(resolve,[$cnf( $equal(meet(b,join(r1,meet(a,meet(r2,join(X_159,join(X,join(Y,r2))))))),n0) )],[refute_0_1167,refute_0_1175]) ).

cnf(refute_0_1177,plain,
    ( meet(b,join(r1,meet(a,r2))) != n0
    | meet(b,meet(Y,join(r1,meet(a,r2)))) != meet(b,meet(Y,meet(b,join(r1,meet(a,r2)))))
    | meet(b,meet(Y,join(r1,meet(a,r2)))) = meet(b,meet(Y,n0)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(Y,join(r1,meet(a,r2)))),meet(b,meet(Y,meet(b,join(r1,meet(a,r2)))))) ),[1,1,1],$fot(n0)]]) ).

cnf(refute_0_1178,plain,
    ( meet(b,meet(Y,join(r1,meet(a,r2)))) != meet(b,meet(Y,meet(b,join(r1,meet(a,r2)))))
    | meet(b,meet(Y,join(r1,meet(a,r2)))) = meet(b,meet(Y,n0)) ),
    inference(resolve,[$cnf( $equal(meet(b,join(r1,meet(a,r2))),n0) )],[refute_0_1176,refute_0_1177]) ).

cnf(refute_0_1179,plain,
    meet(b,meet(Y,join(r1,meet(a,r2)))) = meet(b,meet(Y,n0)),
    inference(resolve,[$cnf( $equal(meet(b,meet(Y,join(r1,meet(a,r2)))),meet(b,meet(Y,meet(b,join(r1,meet(a,r2)))))) )],[refute_0_523,refute_0_1178]) ).

cnf(refute_0_1180,plain,
    meet(b,n0) = n0,
    inference(subst,[],[x_meet_0:[bind(X,$fot(b))]]) ).

cnf(refute_0_1181,plain,
    meet(Y,n0) = n0,
    inference(subst,[],[x_meet_0:[bind(X,$fot(Y))]]) ).

cnf(refute_0_1182,plain,
    meet(b,meet(Y,n0)) = meet(b,meet(Y,n0)),
    introduced(tautology,[refl,[$fot(meet(b,meet(Y,n0)))]]) ).

cnf(refute_0_1183,plain,
    ( meet(Y,n0) != n0
    | meet(b,meet(Y,n0)) != meet(b,meet(Y,n0))
    | meet(b,meet(Y,n0)) = meet(b,n0) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(b,meet(Y,n0)),meet(b,meet(Y,n0))) ),[1,1],$fot(n0)]]) ).

cnf(refute_0_1184,plain,
    ( meet(Y,n0) != n0
    | meet(b,meet(Y,n0)) = meet(b,n0) ),
    inference(resolve,[$cnf( $equal(meet(b,meet(Y,n0)),meet(b,meet(Y,n0))) )],[refute_0_1182,refute_0_1183]) ).

cnf(refute_0_1185,plain,
    meet(b,meet(Y,n0)) = meet(b,n0),
    inference(resolve,[$cnf( $equal(meet(Y,n0),n0) )],[refute_0_1181,refute_0_1184]) ).

cnf(refute_0_1186,plain,
    ( meet(b,meet(Y,n0)) != meet(b,n0)
    | meet(b,n0) != n0
    | meet(b,meet(Y,n0)) = n0 ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(b,meet(Y,n0)))),bind(Y0,$fot(meet(b,n0))),bind(Z0,$fot(n0))]]) ).

cnf(refute_0_1187,plain,
    ( meet(b,n0) != n0
    | meet(b,meet(Y,n0)) = n0 ),
    inference(resolve,[$cnf( $equal(meet(b,meet(Y,n0)),meet(b,n0)) )],[refute_0_1185,refute_0_1186]) ).

cnf(refute_0_1188,plain,
    meet(b,meet(Y,n0)) = n0,
    inference(resolve,[$cnf( $equal(meet(b,n0),n0) )],[refute_0_1180,refute_0_1187]) ).

cnf(refute_0_1189,plain,
    ( meet(b,meet(Y,join(r1,meet(a,r2)))) != meet(b,meet(Y,n0))
    | meet(b,meet(Y,n0)) != n0
    | meet(b,meet(Y,join(r1,meet(a,r2)))) = n0 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(b,meet(Y,join(r1,meet(a,r2)))),n0) ),[0],$fot(meet(b,meet(Y,n0)))]]) ).

cnf(refute_0_1190,plain,
    ( meet(b,meet(Y,join(r1,meet(a,r2)))) != meet(b,meet(Y,n0))
    | meet(b,meet(Y,join(r1,meet(a,r2)))) = n0 ),
    inference(resolve,[$cnf( $equal(meet(b,meet(Y,n0)),n0) )],[refute_0_1188,refute_0_1189]) ).

cnf(refute_0_1191,plain,
    meet(b,meet(Y,join(r1,meet(a,r2)))) = n0,
    inference(resolve,[$cnf( $equal(meet(b,meet(Y,join(r1,meet(a,r2)))),meet(b,meet(Y,n0))) )],[refute_0_1179,refute_0_1190]) ).

cnf(refute_0_1192,plain,
    meet(b,meet(r2,join(r1,meet(a,r2)))) = n0,
    inference(subst,[],[refute_0_1191:[bind(Y,$fot(r2))]]) ).

cnf(refute_0_1193,plain,
    join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) = join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))),
    introduced(tautology,[refl,[$fot(join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))))]]) ).

cnf(refute_0_1194,plain,
    ( join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) != join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))
    | meet(b,meet(r2,join(r1,meet(a,r2)))) != n0
    | join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) = join(r1,n0) ),
    introduced(tautology,[equality,[$cnf( $equal(join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))),join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))) ),[1,1],$fot(n0)]]) ).

cnf(refute_0_1195,plain,
    ( meet(b,meet(r2,join(r1,meet(a,r2)))) != n0
    | join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) = join(r1,n0) ),
    inference(resolve,[$cnf( $equal(join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))),join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))) )],[refute_0_1193,refute_0_1194]) ).

cnf(refute_0_1196,plain,
    join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) = join(r1,n0),
    inference(resolve,[$cnf( $equal(meet(b,meet(r2,join(r1,meet(a,r2)))),n0) )],[refute_0_1192,refute_0_1195]) ).

cnf(refute_0_1197,plain,
    ( join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) != join(r1,n0)
    | join(r1,n0) != r1
    | join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) = r1 ),
    inference(subst,[],[refute_0_24:[bind(X0,$fot(join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))))),bind(Y0,$fot(join(r1,n0))),bind(Z0,$fot(r1))]]) ).

cnf(refute_0_1198,plain,
    ( join(r1,n0) != r1
    | join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) = r1 ),
    inference(resolve,[$cnf( $equal(join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))),join(r1,n0)) )],[refute_0_1196,refute_0_1197]) ).

cnf(refute_0_1199,plain,
    join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) = r1,
    inference(resolve,[$cnf( $equal(join(r1,n0),r1) )],[refute_0_505,refute_0_1198]) ).

cnf(refute_0_1200,plain,
    ( join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) != r1
    | r1 != r1
    | r1 = join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(r1,join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))) ),[1],$fot(r1)]]) ).

cnf(refute_0_1201,plain,
    ( r1 != r1
    | r1 = join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))) ),
    inference(resolve,[$cnf( $equal(join(r1,meet(b,meet(r2,join(r1,meet(a,r2))))),r1) )],[refute_0_1199,refute_0_1200]) ).

cnf(refute_0_1202,plain,
    r1 != r1,
    inference(resolve,[$cnf( $equal(r1,join(r1,meet(b,meet(r2,join(r1,meet(a,r2)))))) )],[refute_0_1201,refute_0_55]) ).

cnf(refute_0_1203,plain,
    r1 = r1,
    introduced(tautology,[refl,[$fot(r1)]]) ).

cnf(refute_0_1204,plain,
    $false,
    inference(resolve,[$cnf( $equal(r1,r1) )],[refute_0_1203,refute_0_1202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : LAT005-10 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.11  % Command  : metis --show proof --show saturation %s
% 0.10/0.32  % Computer : n023.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 600
% 0.10/0.32  % DateTime : Wed Jun 29 03:56:59 EDT 2022
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 242.66/242.89  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 242.66/242.89  
% 242.66/242.89  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 242.83/242.99  
%------------------------------------------------------------------------------