Metis---2.4.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : REL015-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 19:43:26 EDT 2022

% Result   : Unsatisfiable 0.48s 0.65s
% Output   : CNFRefutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   90
%            Number of leaves      :  176
% Syntax   : Number of clauses     :  791 ( 407 unt;   0 nHn; 477 RR)
%            Number of literals    : 1339 (1338 equ; 549 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    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :  900 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(maddux1_join_commutativity_1,axiom,
    join(A,B) = join(B,A) ).

cnf(maddux2_join_associativity_2,axiom,
    join(A,join(B,C)) = join(join(A,B),C) ).

cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
    A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ).

cnf(maddux4_definiton_of_meet_4,axiom,
    meet(A,B) = complement(join(complement(A),complement(B))) ).

cnf(composition_identity_6,axiom,
    composition(A,one) = A ).

cnf(composition_distributivity_7,axiom,
    composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ).

cnf(converse_idempotence_8,axiom,
    converse(converse(A)) = A ).

cnf(converse_additivity_9,axiom,
    converse(join(A,B)) = join(converse(A),converse(B)) ).

cnf(converse_multiplicativity_10,axiom,
    converse(composition(A,B)) = composition(converse(B),converse(A)) ).

cnf(converse_cancellativity_11,axiom,
    join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ).

cnf(def_top_12,axiom,
    top = join(A,complement(A)) ).

cnf(def_zero_13,axiom,
    zero = meet(A,complement(A)) ).

cnf(goals_14,negated_conjecture,
    composition(top,top) != top ).

cnf(refute_0_0,plain,
    composition(join(join(one,one),B),top) = join(composition(join(one,one),top),composition(B,top)),
    inference(subst,[],[composition_distributivity_7:[bind(A,$fot(join(one,one))),bind(C,$fot(top))]]) ).

cnf(refute_0_1,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_2,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_3,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( join(A,B) != join(B,A)
    | join(B,A) = join(A,B) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(A,B))),bind(Y,$fot(join(B,A)))]]) ).

cnf(refute_0_5,plain,
    join(B,A) = join(A,B),
    inference(resolve,[$cnf( $equal(join(A,B),join(B,A)) )],[maddux1_join_commutativity_1,refute_0_4]) ).

cnf(refute_0_6,plain,
    join(composition(converse(A),complement(composition(A,B))),complement(B)) = join(complement(B),composition(converse(A),complement(composition(A,B)))),
    inference(subst,[],[refute_0_5:[bind(A,$fot(complement(B))),bind(B,$fot(composition(converse(A),complement(composition(A,B)))))]]) ).

cnf(refute_0_7,plain,
    ( join(composition(converse(A),complement(composition(A,B))),complement(B)) != complement(B)
    | join(composition(converse(A),complement(composition(A,B))),complement(B)) != join(complement(B),composition(converse(A),complement(composition(A,B))))
    | join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)) ),[0],$fot(join(complement(B),composition(converse(A),complement(composition(A,B)))))]]) ).

cnf(refute_0_8,plain,
    ( join(composition(converse(A),complement(composition(A,B))),complement(B)) != complement(B)
    | join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),join(complement(B),composition(converse(A),complement(composition(A,B))))) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B),
    inference(resolve,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)) )],[converse_cancellativity_11,refute_0_8]) ).

cnf(refute_0_10,plain,
    join(complement(X_84),composition(converse(one),complement(composition(one,X_84)))) = complement(X_84),
    inference(subst,[],[refute_0_9:[bind(A,$fot(one)),bind(B,$fot(X_84))]]) ).

cnf(refute_0_11,plain,
    converse(composition(converse(A),X_20)) = composition(converse(X_20),converse(converse(A))),
    inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(A))),bind(B,$fot(X_20))]]) ).

cnf(refute_0_12,plain,
    ( converse(composition(converse(A),X_20)) != composition(converse(X_20),converse(converse(A)))
    | converse(converse(A)) != A
    | converse(composition(converse(A),X_20)) = composition(converse(X_20),A) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),X_20)),composition(converse(X_20),converse(converse(A)))) ),[1,1],$fot(A)]]) ).

cnf(refute_0_13,plain,
    ( converse(composition(converse(A),X_20)) != composition(converse(X_20),converse(converse(A)))
    | converse(composition(converse(A),X_20)) = composition(converse(X_20),A) ),
    inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_12]) ).

cnf(refute_0_14,plain,
    converse(composition(converse(A),X_20)) = composition(converse(X_20),A),
    inference(resolve,[$cnf( $equal(converse(composition(converse(A),X_20)),composition(converse(X_20),converse(converse(A)))) )],[refute_0_11,refute_0_13]) ).

cnf(refute_0_15,plain,
    converse(composition(converse(X_24),one)) = composition(converse(one),X_24),
    inference(subst,[],[refute_0_14:[bind(A,$fot(X_24)),bind(X_20,$fot(one))]]) ).

cnf(refute_0_16,plain,
    composition(converse(X_24),one) = converse(X_24),
    inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(X_24)))]]) ).

cnf(refute_0_17,plain,
    ( composition(converse(X_24),one) != converse(X_24)
    | converse(composition(converse(X_24),one)) != composition(converse(one),X_24)
    | converse(converse(X_24)) = composition(converse(one),X_24) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_24),one)),composition(converse(one),X_24)) ),[0,0],$fot(converse(X_24))]]) ).

cnf(refute_0_18,plain,
    ( converse(composition(converse(X_24),one)) != composition(converse(one),X_24)
    | converse(converse(X_24)) = composition(converse(one),X_24) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_24),one),converse(X_24)) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    converse(converse(X_24)) = composition(converse(one),X_24),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_24),one)),composition(converse(one),X_24)) )],[refute_0_15,refute_0_18]) ).

cnf(refute_0_20,plain,
    converse(converse(X_24)) = X_24,
    inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_24))]]) ).

cnf(refute_0_21,plain,
    ( converse(converse(X_24)) != X_24
    | converse(converse(X_24)) != composition(converse(one),X_24)
    | X_24 = composition(converse(one),X_24) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_24)),composition(converse(one),X_24)) ),[0],$fot(X_24)]]) ).

cnf(refute_0_22,plain,
    ( converse(converse(X_24)) != composition(converse(one),X_24)
    | X_24 = composition(converse(one),X_24) ),
    inference(resolve,[$cnf( $equal(converse(converse(X_24)),X_24) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    X_24 = composition(converse(one),X_24),
    inference(resolve,[$cnf( $equal(converse(converse(X_24)),composition(converse(one),X_24)) )],[refute_0_19,refute_0_22]) ).

cnf(refute_0_24,plain,
    composition(converse(one),one) = converse(one),
    inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(one)))]]) ).

cnf(refute_0_25,plain,
    one = composition(converse(one),one),
    inference(subst,[],[refute_0_23:[bind(X_24,$fot(one))]]) ).

cnf(refute_0_26,plain,
    ( one != composition(converse(one),one)
    | composition(converse(one),one) = one ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).

cnf(refute_0_27,plain,
    composition(converse(one),one) = one,
    inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_25,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( composition(converse(one),one) != converse(one)
    | composition(converse(one),one) != one
    | one = converse(one) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).

cnf(refute_0_29,plain,
    ( composition(converse(one),one) != converse(one)
    | one = converse(one) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_27,refute_0_28]) ).

cnf(refute_0_30,plain,
    one = converse(one),
    inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_24,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( one != converse(one)
    | converse(one) = one ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).

cnf(refute_0_32,plain,
    converse(one) = one,
    inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_30,refute_0_31]) ).

cnf(refute_0_33,plain,
    composition(converse(one),X_24) = composition(converse(one),X_24),
    introduced(tautology,[refl,[$fot(composition(converse(one),X_24))]]) ).

cnf(refute_0_34,plain,
    ( composition(converse(one),X_24) != composition(converse(one),X_24)
    | converse(one) != one
    | composition(converse(one),X_24) = composition(one,X_24) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_24),composition(converse(one),X_24)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_35,plain,
    ( converse(one) != one
    | composition(converse(one),X_24) = composition(one,X_24) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),X_24),composition(converse(one),X_24)) )],[refute_0_33,refute_0_34]) ).

cnf(refute_0_36,plain,
    composition(converse(one),X_24) = composition(one,X_24),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_32,refute_0_35]) ).

cnf(refute_0_37,plain,
    ( X_24 != composition(converse(one),X_24)
    | composition(converse(one),X_24) != composition(one,X_24)
    | X_24 = composition(one,X_24) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_24,composition(one,X_24)) ),[0],$fot(composition(converse(one),X_24))]]) ).

cnf(refute_0_38,plain,
    ( X_24 != composition(converse(one),X_24)
    | X_24 = composition(one,X_24) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),X_24),composition(one,X_24)) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    X_24 = composition(one,X_24),
    inference(resolve,[$cnf( $equal(X_24,composition(converse(one),X_24)) )],[refute_0_23,refute_0_38]) ).

cnf(refute_0_40,plain,
    X_84 = composition(one,X_84),
    inference(subst,[],[refute_0_39:[bind(X_24,$fot(X_84))]]) ).

cnf(refute_0_41,plain,
    ( X_84 != composition(one,X_84)
    | composition(one,X_84) = X_84 ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(X_84)),bind(Y,$fot(composition(one,X_84)))]]) ).

cnf(refute_0_42,plain,
    composition(one,X_84) = X_84,
    inference(resolve,[$cnf( $equal(X_84,composition(one,X_84)) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    ( composition(one,X_84) != X_84
    | join(complement(X_84),composition(converse(one),complement(composition(one,X_84)))) != complement(X_84)
    | join(complement(X_84),composition(converse(one),complement(X_84))) = complement(X_84) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_84),composition(converse(one),complement(composition(one,X_84)))),complement(X_84)) ),[0,1,1,0],$fot(X_84)]]) ).

cnf(refute_0_44,plain,
    ( join(complement(X_84),composition(converse(one),complement(composition(one,X_84)))) != complement(X_84)
    | join(complement(X_84),composition(converse(one),complement(X_84))) = complement(X_84) ),
    inference(resolve,[$cnf( $equal(composition(one,X_84),X_84) )],[refute_0_42,refute_0_43]) ).

cnf(refute_0_45,plain,
    join(complement(X_84),composition(converse(one),complement(X_84))) = complement(X_84),
    inference(resolve,[$cnf( $equal(join(complement(X_84),composition(converse(one),complement(composition(one,X_84)))),complement(X_84)) )],[refute_0_10,refute_0_44]) ).

cnf(refute_0_46,plain,
    converse(join(converse(A),X_12)) = join(converse(converse(A)),converse(X_12)),
    inference(subst,[],[converse_additivity_9:[bind(A,$fot(converse(A))),bind(B,$fot(X_12))]]) ).

cnf(refute_0_47,plain,
    ( converse(converse(A)) != A
    | converse(join(converse(A),X_12)) != join(converse(converse(A)),converse(X_12))
    | converse(join(converse(A),X_12)) = join(A,converse(X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),X_12)),join(converse(converse(A)),converse(X_12))) ),[1,0],$fot(A)]]) ).

cnf(refute_0_48,plain,
    ( converse(join(converse(A),X_12)) != join(converse(converse(A)),converse(X_12))
    | converse(join(converse(A),X_12)) = join(A,converse(X_12)) ),
    inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_47]) ).

cnf(refute_0_49,plain,
    converse(join(converse(A),X_12)) = join(A,converse(X_12)),
    inference(resolve,[$cnf( $equal(converse(join(converse(A),X_12)),join(converse(converse(A)),converse(X_12))) )],[refute_0_46,refute_0_48]) ).

cnf(refute_0_50,plain,
    converse(join(converse(one),X_12)) = join(one,converse(X_12)),
    inference(subst,[],[refute_0_49:[bind(A,$fot(one))]]) ).

cnf(refute_0_51,plain,
    ( converse(join(converse(one),X_12)) != join(one,converse(X_12))
    | converse(one) != one
    | converse(join(one,X_12)) = join(one,converse(X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_12)),join(one,converse(X_12))) ),[0,0,0],$fot(one)]]) ).

cnf(refute_0_52,plain,
    ( converse(join(converse(one),X_12)) != join(one,converse(X_12))
    | converse(join(one,X_12)) = join(one,converse(X_12)) ),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_32,refute_0_51]) ).

cnf(refute_0_53,plain,
    converse(join(one,X_12)) = join(one,converse(X_12)),
    inference(resolve,[$cnf( $equal(converse(join(converse(one),X_12)),join(one,converse(X_12))) )],[refute_0_50,refute_0_52]) ).

cnf(refute_0_54,plain,
    converse(join(one,one)) = join(one,converse(one)),
    inference(subst,[],[refute_0_53:[bind(X_12,$fot(one))]]) ).

cnf(refute_0_55,plain,
    ( converse(join(one,one)) != join(one,converse(one))
    | converse(one) != one
    | converse(join(one,one)) = join(one,one) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_56,plain,
    ( converse(join(one,one)) != join(one,converse(one))
    | converse(join(one,one)) = join(one,one) ),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_32,refute_0_55]) ).

cnf(refute_0_57,plain,
    converse(join(one,one)) = join(one,one),
    inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_54,refute_0_56]) ).

cnf(refute_0_58,plain,
    ( converse(join(one,X_12)) != join(one,converse(X_12))
    | join(one,converse(X_12)) = converse(join(one,X_12)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(converse(join(one,X_12)))),bind(Y,$fot(join(one,converse(X_12))))]]) ).

cnf(refute_0_59,plain,
    join(one,converse(X_12)) = converse(join(one,X_12)),
    inference(resolve,[$cnf( $equal(converse(join(one,X_12)),join(one,converse(X_12))) )],[refute_0_53,refute_0_58]) ).

cnf(refute_0_60,plain,
    join(one,converse(one)) = converse(join(one,one)),
    inference(subst,[],[refute_0_59:[bind(X_12,$fot(one))]]) ).

cnf(refute_0_61,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_62,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( converse(join(one,one)) != join(one,one)
    | join(one,converse(one)) != converse(join(one,one))
    | join(one,converse(one)) = join(one,one) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(one,converse(one)))),bind(Y,$fot(converse(join(one,one)))),bind(Z,$fot(join(one,one)))]]) ).

cnf(refute_0_64,plain,
    ( converse(join(one,one)) != join(one,one)
    | join(one,converse(one)) = join(one,one) ),
    inference(resolve,[$cnf( $equal(join(one,converse(one)),converse(join(one,one))) )],[refute_0_60,refute_0_63]) ).

cnf(refute_0_65,plain,
    join(one,converse(one)) = join(one,one),
    inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_57,refute_0_64]) ).

cnf(refute_0_66,plain,
    composition(join(one,converse(one)),complement(X_84)) = composition(join(one,converse(one)),complement(X_84)),
    introduced(tautology,[refl,[$fot(composition(join(one,converse(one)),complement(X_84)))]]) ).

cnf(refute_0_67,plain,
    ( composition(join(one,converse(one)),complement(X_84)) != composition(join(one,converse(one)),complement(X_84))
    | join(one,converse(one)) != join(one,one)
    | composition(join(one,converse(one)),complement(X_84)) = composition(join(one,one),complement(X_84)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(one)),complement(X_84)),composition(join(one,converse(one)),complement(X_84))) ),[1,0],$fot(join(one,one))]]) ).

cnf(refute_0_68,plain,
    ( join(one,converse(one)) != join(one,one)
    | composition(join(one,converse(one)),complement(X_84)) = composition(join(one,one),complement(X_84)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(one)),complement(X_84)),composition(join(one,converse(one)),complement(X_84))) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    composition(join(one,converse(one)),complement(X_84)) = composition(join(one,one),complement(X_84)),
    inference(resolve,[$cnf( $equal(join(one,converse(one)),join(one,one)) )],[refute_0_65,refute_0_68]) ).

cnf(refute_0_70,plain,
    join(composition(X_48,X_49),composition(X_47,X_49)) = join(composition(X_47,X_49),composition(X_48,X_49)),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(composition(X_48,X_49))),bind(B,$fot(composition(X_47,X_49)))]]) ).

cnf(refute_0_71,plain,
    composition(join(X_47,X_48),X_49) = join(composition(X_47,X_49),composition(X_48,X_49)),
    inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_47)),bind(B,$fot(X_48)),bind(C,$fot(X_49))]]) ).

cnf(refute_0_72,plain,
    ( composition(join(X_47,X_48),X_49) != join(composition(X_47,X_49),composition(X_48,X_49))
    | join(composition(X_47,X_49),composition(X_48,X_49)) = composition(join(X_47,X_48),X_49) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(composition(join(X_47,X_48),X_49))),bind(Y,$fot(join(composition(X_47,X_49),composition(X_48,X_49))))]]) ).

cnf(refute_0_73,plain,
    join(composition(X_47,X_49),composition(X_48,X_49)) = composition(join(X_47,X_48),X_49),
    inference(resolve,[$cnf( $equal(composition(join(X_47,X_48),X_49),join(composition(X_47,X_49),composition(X_48,X_49))) )],[refute_0_71,refute_0_72]) ).

cnf(refute_0_74,plain,
    ( join(composition(X_47,X_49),composition(X_48,X_49)) != composition(join(X_47,X_48),X_49)
    | join(composition(X_48,X_49),composition(X_47,X_49)) != join(composition(X_47,X_49),composition(X_48,X_49))
    | join(composition(X_48,X_49),composition(X_47,X_49)) = composition(join(X_47,X_48),X_49) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(X_48,X_49),composition(X_47,X_49)),join(composition(X_47,X_49),composition(X_48,X_49))) ),[1],$fot(composition(join(X_47,X_48),X_49))]]) ).

cnf(refute_0_75,plain,
    ( join(composition(X_48,X_49),composition(X_47,X_49)) != join(composition(X_47,X_49),composition(X_48,X_49))
    | join(composition(X_48,X_49),composition(X_47,X_49)) = composition(join(X_47,X_48),X_49) ),
    inference(resolve,[$cnf( $equal(join(composition(X_47,X_49),composition(X_48,X_49)),composition(join(X_47,X_48),X_49)) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    join(composition(X_48,X_49),composition(X_47,X_49)) = composition(join(X_47,X_48),X_49),
    inference(resolve,[$cnf( $equal(join(composition(X_48,X_49),composition(X_47,X_49)),join(composition(X_47,X_49),composition(X_48,X_49))) )],[refute_0_70,refute_0_75]) ).

cnf(refute_0_77,plain,
    ( composition(join(A,B),C) != join(composition(A,C),composition(B,C))
    | join(composition(A,C),composition(B,C)) = composition(join(A,B),C) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(composition(join(A,B),C))),bind(Y,$fot(join(composition(A,C),composition(B,C))))]]) ).

cnf(refute_0_78,plain,
    join(composition(A,C),composition(B,C)) = composition(join(A,B),C),
    inference(resolve,[$cnf( $equal(composition(join(A,B),C),join(composition(A,C),composition(B,C))) )],[composition_distributivity_7,refute_0_77]) ).

cnf(refute_0_79,plain,
    join(composition(X_48,X_49),composition(X_47,X_49)) = composition(join(X_48,X_47),X_49),
    inference(subst,[],[refute_0_78:[bind(A,$fot(X_48)),bind(B,$fot(X_47)),bind(C,$fot(X_49))]]) ).

cnf(refute_0_80,plain,
    ( join(composition(X_48,X_49),composition(X_47,X_49)) != composition(join(X_47,X_48),X_49)
    | join(composition(X_48,X_49),composition(X_47,X_49)) != composition(join(X_48,X_47),X_49)
    | composition(join(X_48,X_47),X_49) = composition(join(X_47,X_48),X_49) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(X_48,X_49),composition(X_47,X_49)),composition(join(X_47,X_48),X_49)) ),[0],$fot(composition(join(X_48,X_47),X_49))]]) ).

cnf(refute_0_81,plain,
    ( join(composition(X_48,X_49),composition(X_47,X_49)) != composition(join(X_47,X_48),X_49)
    | composition(join(X_48,X_47),X_49) = composition(join(X_47,X_48),X_49) ),
    inference(resolve,[$cnf( $equal(join(composition(X_48,X_49),composition(X_47,X_49)),composition(join(X_48,X_47),X_49)) )],[refute_0_79,refute_0_80]) ).

cnf(refute_0_82,plain,
    composition(join(X_48,X_47),X_49) = composition(join(X_47,X_48),X_49),
    inference(resolve,[$cnf( $equal(join(composition(X_48,X_49),composition(X_47,X_49)),composition(join(X_47,X_48),X_49)) )],[refute_0_76,refute_0_81]) ).

cnf(refute_0_83,plain,
    ( composition(join(X_48,X_47),X_49) != composition(join(X_47,X_48),X_49)
    | composition(join(X_47,X_48),X_49) = composition(join(X_48,X_47),X_49) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(composition(join(X_48,X_47),X_49))),bind(Y,$fot(composition(join(X_47,X_48),X_49)))]]) ).

cnf(refute_0_84,plain,
    composition(join(X_47,X_48),X_49) = composition(join(X_48,X_47),X_49),
    inference(resolve,[$cnf( $equal(composition(join(X_48,X_47),X_49),composition(join(X_47,X_48),X_49)) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    composition(join(converse(one),one),complement(X_84)) = composition(join(one,converse(one)),complement(X_84)),
    inference(subst,[],[refute_0_84:[bind(X_47,$fot(converse(one))),bind(X_48,$fot(one)),bind(X_49,$fot(complement(X_84)))]]) ).

cnf(refute_0_86,plain,
    composition(join(X_47,one),X_49) = join(composition(X_47,X_49),composition(one,X_49)),
    inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_47)),bind(B,$fot(one)),bind(C,$fot(X_49))]]) ).

cnf(refute_0_87,plain,
    X_49 = composition(one,X_49),
    inference(subst,[],[refute_0_39:[bind(X_24,$fot(X_49))]]) ).

cnf(refute_0_88,plain,
    ( X_49 != composition(one,X_49)
    | composition(one,X_49) = X_49 ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(X_49)),bind(Y,$fot(composition(one,X_49)))]]) ).

cnf(refute_0_89,plain,
    composition(one,X_49) = X_49,
    inference(resolve,[$cnf( $equal(X_49,composition(one,X_49)) )],[refute_0_87,refute_0_88]) ).

cnf(refute_0_90,plain,
    ( composition(join(X_47,one),X_49) != join(composition(X_47,X_49),composition(one,X_49))
    | composition(one,X_49) != X_49
    | composition(join(X_47,one),X_49) = join(composition(X_47,X_49),X_49) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X_47,one),X_49),join(composition(X_47,X_49),composition(one,X_49))) ),[1,1],$fot(X_49)]]) ).

cnf(refute_0_91,plain,
    ( composition(join(X_47,one),X_49) != join(composition(X_47,X_49),composition(one,X_49))
    | composition(join(X_47,one),X_49) = join(composition(X_47,X_49),X_49) ),
    inference(resolve,[$cnf( $equal(composition(one,X_49),X_49) )],[refute_0_89,refute_0_90]) ).

cnf(refute_0_92,plain,
    composition(join(X_47,one),X_49) = join(composition(X_47,X_49),X_49),
    inference(resolve,[$cnf( $equal(composition(join(X_47,one),X_49),join(composition(X_47,X_49),composition(one,X_49))) )],[refute_0_86,refute_0_91]) ).

cnf(refute_0_93,plain,
    join(composition(X_47,X_49),X_49) = join(X_49,composition(X_47,X_49)),
    inference(subst,[],[refute_0_5:[bind(A,$fot(X_49)),bind(B,$fot(composition(X_47,X_49)))]]) ).

cnf(refute_0_94,plain,
    ( composition(join(X_47,one),X_49) != join(composition(X_47,X_49),X_49)
    | join(composition(X_47,X_49),X_49) != join(X_49,composition(X_47,X_49))
    | composition(join(X_47,one),X_49) = join(X_49,composition(X_47,X_49)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_47,one),X_49),join(X_49,composition(X_47,X_49))) ),[0],$fot(join(composition(X_47,X_49),X_49))]]) ).

cnf(refute_0_95,plain,
    ( composition(join(X_47,one),X_49) != join(composition(X_47,X_49),X_49)
    | composition(join(X_47,one),X_49) = join(X_49,composition(X_47,X_49)) ),
    inference(resolve,[$cnf( $equal(join(composition(X_47,X_49),X_49),join(X_49,composition(X_47,X_49))) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    composition(join(X_47,one),X_49) = join(X_49,composition(X_47,X_49)),
    inference(resolve,[$cnf( $equal(composition(join(X_47,one),X_49),join(composition(X_47,X_49),X_49)) )],[refute_0_92,refute_0_95]) ).

cnf(refute_0_97,plain,
    ( composition(join(X_47,one),X_49) != join(X_49,composition(X_47,X_49))
    | join(X_49,composition(X_47,X_49)) = composition(join(X_47,one),X_49) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(composition(join(X_47,one),X_49))),bind(Y,$fot(join(X_49,composition(X_47,X_49))))]]) ).

cnf(refute_0_98,plain,
    join(X_49,composition(X_47,X_49)) = composition(join(X_47,one),X_49),
    inference(resolve,[$cnf( $equal(composition(join(X_47,one),X_49),join(X_49,composition(X_47,X_49))) )],[refute_0_96,refute_0_97]) ).

cnf(refute_0_99,plain,
    join(complement(X_84),composition(converse(one),complement(X_84))) = composition(join(converse(one),one),complement(X_84)),
    inference(subst,[],[refute_0_98:[bind(X_47,$fot(converse(one))),bind(X_49,$fot(complement(X_84)))]]) ).

cnf(refute_0_100,plain,
    ( composition(join(converse(one),one),complement(X_84)) != composition(join(one,converse(one)),complement(X_84))
    | join(complement(X_84),composition(converse(one),complement(X_84))) != composition(join(converse(one),one),complement(X_84))
    | join(complement(X_84),composition(converse(one),complement(X_84))) = composition(join(one,converse(one)),complement(X_84)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(complement(X_84),composition(converse(one),complement(X_84))))),bind(Y,$fot(composition(join(converse(one),one),complement(X_84)))),bind(Z,$fot(composition(join(one,converse(one)),complement(X_84))))]]) ).

cnf(refute_0_101,plain,
    ( composition(join(converse(one),one),complement(X_84)) != composition(join(one,converse(one)),complement(X_84))
    | join(complement(X_84),composition(converse(one),complement(X_84))) = composition(join(one,converse(one)),complement(X_84)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_84),composition(converse(one),complement(X_84))),composition(join(converse(one),one),complement(X_84))) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    join(complement(X_84),composition(converse(one),complement(X_84))) = composition(join(one,converse(one)),complement(X_84)),
    inference(resolve,[$cnf( $equal(composition(join(converse(one),one),complement(X_84)),composition(join(one,converse(one)),complement(X_84))) )],[refute_0_85,refute_0_101]) ).

cnf(refute_0_103,plain,
    ( composition(join(one,converse(one)),complement(X_84)) != composition(join(one,one),complement(X_84))
    | join(complement(X_84),composition(converse(one),complement(X_84))) != composition(join(one,converse(one)),complement(X_84))
    | join(complement(X_84),composition(converse(one),complement(X_84))) = composition(join(one,one),complement(X_84)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(complement(X_84),composition(converse(one),complement(X_84))))),bind(Y,$fot(composition(join(one,converse(one)),complement(X_84)))),bind(Z,$fot(composition(join(one,one),complement(X_84))))]]) ).

cnf(refute_0_104,plain,
    ( composition(join(one,converse(one)),complement(X_84)) != composition(join(one,one),complement(X_84))
    | join(complement(X_84),composition(converse(one),complement(X_84))) = composition(join(one,one),complement(X_84)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_84),composition(converse(one),complement(X_84))),composition(join(one,converse(one)),complement(X_84))) )],[refute_0_102,refute_0_103]) ).

cnf(refute_0_105,plain,
    join(complement(X_84),composition(converse(one),complement(X_84))) = composition(join(one,one),complement(X_84)),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(one)),complement(X_84)),composition(join(one,one),complement(X_84))) )],[refute_0_69,refute_0_104]) ).

cnf(refute_0_106,plain,
    ( join(complement(X_84),composition(converse(one),complement(X_84))) != complement(X_84)
    | join(complement(X_84),composition(converse(one),complement(X_84))) != composition(join(one,one),complement(X_84))
    | composition(join(one,one),complement(X_84)) = complement(X_84) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_84),composition(converse(one),complement(X_84))),complement(X_84)) ),[0],$fot(composition(join(one,one),complement(X_84)))]]) ).

cnf(refute_0_107,plain,
    ( join(complement(X_84),composition(converse(one),complement(X_84))) != complement(X_84)
    | composition(join(one,one),complement(X_84)) = complement(X_84) ),
    inference(resolve,[$cnf( $equal(join(complement(X_84),composition(converse(one),complement(X_84))),composition(join(one,one),complement(X_84))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    composition(join(one,one),complement(X_84)) = complement(X_84),
    inference(resolve,[$cnf( $equal(join(complement(X_84),composition(converse(one),complement(X_84))),complement(X_84)) )],[refute_0_45,refute_0_107]) ).

cnf(refute_0_109,plain,
    composition(join(one,one),complement(zero)) = complement(zero),
    inference(subst,[],[refute_0_108:[bind(X_84,$fot(zero))]]) ).

cnf(refute_0_110,plain,
    join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
    inference(subst,[],[refute_0_5:[bind(A,$fot(complement(join(complement(A),B)))),bind(B,$fot(complement(join(complement(A),complement(B)))))]]) ).

cnf(refute_0_111,plain,
    ( A != join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))
    | join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
    | A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(A,join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) ),[0],$fot(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))))]]) ).

cnf(refute_0_112,plain,
    ( A != join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))
    | A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_110,refute_0_111]) ).

cnf(refute_0_113,plain,
    A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
    inference(resolve,[$cnf( $equal(A,join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))) )],[maddux3_a_kind_of_de_Morgan_3,refute_0_112]) ).

cnf(refute_0_114,plain,
    join(complement(join(complement(A),B)),meet(A,B)) = join(meet(A,B),complement(join(complement(A),B))),
    inference(subst,[],[refute_0_5:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(join(complement(A),B))))]]) ).

cnf(refute_0_115,plain,
    ( meet(A,B) != complement(join(complement(A),complement(B)))
    | complement(join(complement(A),complement(B))) = meet(A,B) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(meet(A,B))),bind(Y,$fot(complement(join(complement(A),complement(B)))))]]) ).

cnf(refute_0_116,plain,
    complement(join(complement(A),complement(B))) = meet(A,B),
    inference(resolve,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) )],[maddux4_definiton_of_meet_4,refute_0_115]) ).

cnf(refute_0_117,plain,
    join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
    introduced(tautology,[refl,[$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))]]) ).

cnf(refute_0_118,plain,
    ( complement(join(complement(A),complement(B))) != meet(A,B)
    | join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
    | join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) ),[1,1],$fot(meet(A,B))]]) ).

cnf(refute_0_119,plain,
    ( complement(join(complement(A),complement(B))) != meet(A,B)
    | join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)),
    inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_116,refute_0_119]) ).

cnf(refute_0_121,plain,
    ( join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(complement(join(complement(A),B)),meet(A,B))
    | join(complement(join(complement(A),B)),meet(A,B)) != join(meet(A,B),complement(join(complement(A),B)))
    | join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))),bind(Y,$fot(join(complement(join(complement(A),B)),meet(A,B)))),bind(Z,$fot(join(meet(A,B),complement(join(complement(A),B)))))]]) ).

cnf(refute_0_122,plain,
    ( join(complement(join(complement(A),B)),meet(A,B)) != join(meet(A,B),complement(join(complement(A),B)))
    | join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),meet(A,B))) )],[refute_0_120,refute_0_121]) ).

cnf(refute_0_123,plain,
    join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),meet(A,B)),join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_114,refute_0_122]) ).

cnf(refute_0_124,plain,
    ( A != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
    | join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(meet(A,B),complement(join(complement(A),B)))
    | A = join(meet(A,B),complement(join(complement(A),B))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(A,join(meet(A,B),complement(join(complement(A),B)))) ),[0],$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))]]) ).

cnf(refute_0_125,plain,
    ( A != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
    | A = join(meet(A,B),complement(join(complement(A),B))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_123,refute_0_124]) ).

cnf(refute_0_126,plain,
    A = join(meet(A,B),complement(join(complement(A),B))),
    inference(resolve,[$cnf( $equal(A,join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_113,refute_0_125]) ).

cnf(refute_0_127,plain,
    X_32 = join(meet(X_32,complement(B)),complement(join(complement(X_32),complement(B)))),
    inference(subst,[],[refute_0_126:[bind(A,$fot(X_32)),bind(B,$fot(complement(B)))]]) ).

cnf(refute_0_128,plain,
    meet(X_32,B) = complement(join(complement(X_32),complement(B))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_32))]]) ).

cnf(refute_0_129,plain,
    ( meet(X_32,B) != complement(join(complement(X_32),complement(B)))
    | complement(join(complement(X_32),complement(B))) = meet(X_32,B) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(meet(X_32,B))),bind(Y,$fot(complement(join(complement(X_32),complement(B)))))]]) ).

cnf(refute_0_130,plain,
    complement(join(complement(X_32),complement(B))) = meet(X_32,B),
    inference(resolve,[$cnf( $equal(meet(X_32,B),complement(join(complement(X_32),complement(B)))) )],[refute_0_128,refute_0_129]) ).

cnf(refute_0_131,plain,
    ( X_32 != join(meet(X_32,complement(B)),complement(join(complement(X_32),complement(B))))
    | complement(join(complement(X_32),complement(B))) != meet(X_32,B)
    | X_32 = join(meet(X_32,complement(B)),meet(X_32,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(X_32,complement(B)),complement(join(complement(X_32),complement(B))))) ),[1,1],$fot(meet(X_32,B))]]) ).

cnf(refute_0_132,plain,
    ( X_32 != join(meet(X_32,complement(B)),complement(join(complement(X_32),complement(B))))
    | X_32 = join(meet(X_32,complement(B)),meet(X_32,B)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_32),complement(B))),meet(X_32,B)) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    X_32 = join(meet(X_32,complement(B)),meet(X_32,B)),
    inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,complement(B)),complement(join(complement(X_32),complement(B))))) )],[refute_0_127,refute_0_132]) ).

cnf(refute_0_134,plain,
    join(meet(X_32,complement(B)),meet(X_32,B)) = join(meet(X_32,B),meet(X_32,complement(B))),
    inference(subst,[],[refute_0_5:[bind(A,$fot(meet(X_32,B))),bind(B,$fot(meet(X_32,complement(B))))]]) ).

cnf(refute_0_135,plain,
    ( X_32 != join(meet(X_32,complement(B)),meet(X_32,B))
    | join(meet(X_32,complement(B)),meet(X_32,B)) != join(meet(X_32,B),meet(X_32,complement(B)))
    | X_32 = join(meet(X_32,B),meet(X_32,complement(B))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_32,join(meet(X_32,B),meet(X_32,complement(B)))) ),[0],$fot(join(meet(X_32,complement(B)),meet(X_32,B)))]]) ).

cnf(refute_0_136,plain,
    ( X_32 != join(meet(X_32,complement(B)),meet(X_32,B))
    | X_32 = join(meet(X_32,B),meet(X_32,complement(B))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_32,complement(B)),meet(X_32,B)),join(meet(X_32,B),meet(X_32,complement(B)))) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    X_32 = join(meet(X_32,B),meet(X_32,complement(B))),
    inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,complement(B)),meet(X_32,B))) )],[refute_0_133,refute_0_136]) ).

cnf(refute_0_138,plain,
    X_40 = join(meet(X_40,top),meet(X_40,complement(top))),
    inference(subst,[],[refute_0_137:[bind(B,$fot(top)),bind(X_32,$fot(X_40))]]) ).

cnf(refute_0_139,plain,
    zero = meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
    inference(subst,[],[def_zero_13:[bind(A,$fot(join(complement(X_6),complement(X_7))))]]) ).

cnf(refute_0_140,plain,
    meet(X_6,X_7) = complement(join(complement(X_6),complement(X_7))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_6)),bind(B,$fot(X_7))]]) ).

cnf(refute_0_141,plain,
    ( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
    | complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(complement(join(complement(X_6),complement(X_7)))))]]) ).

cnf(refute_0_142,plain,
    complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7),
    inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    ( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
    | zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
    | zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).

cnf(refute_0_144,plain,
    ( zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
    | zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
    inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_139,refute_0_144]) ).

cnf(refute_0_146,plain,
    ( top != join(A,complement(A))
    | join(A,complement(A)) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(A,complement(A))))]]) ).

cnf(refute_0_147,plain,
    join(A,complement(A)) = top,
    inference(resolve,[$cnf( $equal(top,join(A,complement(A))) )],[def_top_12,refute_0_146]) ).

cnf(refute_0_148,plain,
    join(meet(X_6,X_7),complement(meet(X_6,X_7))) = top,
    inference(subst,[],[refute_0_147:[bind(A,$fot(meet(X_6,X_7)))]]) ).

cnf(refute_0_149,plain,
    complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
    introduced(tautology,[refl,[$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))]]) ).

cnf(refute_0_150,plain,
    ( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
    | join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
    | complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_151,plain,
    ( join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
    | complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_149,refute_0_150]) ).

cnf(refute_0_152,plain,
    complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top),
    inference(resolve,[$cnf( $equal(join(meet(X_6,X_7),complement(meet(X_6,X_7))),top) )],[refute_0_148,refute_0_151]) ).

cnf(refute_0_153,plain,
    meet(join(complement(X_6),complement(X_7)),B) = complement(join(complement(join(complement(X_6),complement(X_7))),complement(B))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(complement(X_6),complement(X_7))))]]) ).

cnf(refute_0_154,plain,
    ( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
    | meet(join(complement(X_6),complement(X_7)),B) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))
    | meet(join(complement(X_6),complement(X_7)),B) = complement(join(meet(X_6,X_7),complement(B))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))) ),[1,0,0],$fot(meet(X_6,X_7))]]) ).

cnf(refute_0_155,plain,
    ( meet(join(complement(X_6),complement(X_7)),B) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))
    | meet(join(complement(X_6),complement(X_7)),B) = complement(join(meet(X_6,X_7),complement(B))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_142,refute_0_154]) ).

cnf(refute_0_156,plain,
    meet(join(complement(X_6),complement(X_7)),B) = complement(join(meet(X_6,X_7),complement(B))),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))) )],[refute_0_153,refute_0_155]) ).

cnf(refute_0_157,plain,
    meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
    inference(subst,[],[refute_0_156:[bind(B,$fot(meet(X_6,X_7)))]]) ).

cnf(refute_0_158,plain,
    ( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
    | meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
    | meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)))),bind(Y,$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))),bind(Z,$fot(complement(top)))]]) ).

cnf(refute_0_159,plain,
    ( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
    | meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_157,refute_0_158]) ).

cnf(refute_0_160,plain,
    meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(top)) )],[refute_0_152,refute_0_159]) ).

cnf(refute_0_161,plain,
    ( meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(top)
    | zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
    | zero = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(complement(top))]]) ).

cnf(refute_0_162,plain,
    ( zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
    | zero = complement(top) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(top)) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    zero = complement(top),
    inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_145,refute_0_162]) ).

cnf(refute_0_164,plain,
    ( zero != complement(top)
    | complement(top) = zero ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).

cnf(refute_0_165,plain,
    complement(top) = zero,
    inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_163,refute_0_164]) ).

cnf(refute_0_166,plain,
    ( X_40 != join(meet(X_40,top),meet(X_40,complement(top)))
    | complement(top) != zero
    | X_40 = join(meet(X_40,top),meet(X_40,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,top),meet(X_40,complement(top)))) ),[1,1,1],$fot(zero)]]) ).

cnf(refute_0_167,plain,
    ( X_40 != join(meet(X_40,top),meet(X_40,complement(top)))
    | X_40 = join(meet(X_40,top),meet(X_40,zero)) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    X_40 = join(meet(X_40,top),meet(X_40,zero)),
    inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,top),meet(X_40,complement(top)))) )],[refute_0_138,refute_0_167]) ).

cnf(refute_0_169,plain,
    X_41 = join(meet(X_41,top),meet(X_41,zero)),
    inference(subst,[],[refute_0_168:[bind(X_40,$fot(X_41))]]) ).

cnf(refute_0_170,plain,
    join(complement(X_7),complement(X_6)) = join(complement(X_6),complement(X_7)),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(X_7))),bind(B,$fot(complement(X_6)))]]) ).

cnf(refute_0_171,plain,
    ( join(complement(X_7),complement(X_6)) != join(complement(X_6),complement(X_7))
    | join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(complement(X_7),complement(X_6)))),bind(Y,$fot(join(complement(X_6),complement(X_7))))]]) ).

cnf(refute_0_172,plain,
    join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)),
    inference(resolve,[$cnf( $equal(join(complement(X_7),complement(X_6)),join(complement(X_6),complement(X_7))) )],[refute_0_170,refute_0_171]) ).

cnf(refute_0_173,plain,
    ( join(complement(X_6),complement(X_7)) != join(complement(X_7),complement(X_6))
    | meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
    | meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) ),[1,0],$fot(join(complement(X_7),complement(X_6)))]]) ).

cnf(refute_0_174,plain,
    ( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
    | meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),join(complement(X_7),complement(X_6))) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))),
    inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_140,refute_0_174]) ).

cnf(refute_0_176,plain,
    complement(join(complement(X_7),complement(X_6))) = meet(X_7,X_6),
    inference(subst,[],[refute_0_116:[bind(A,$fot(X_7)),bind(B,$fot(X_6))]]) ).

cnf(refute_0_177,plain,
    ( complement(join(complement(X_7),complement(X_6))) != meet(X_7,X_6)
    | meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
    | meet(X_6,X_7) = meet(X_7,X_6) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) ),[1],$fot(meet(X_7,X_6))]]) ).

cnf(refute_0_178,plain,
    ( meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
    | meet(X_6,X_7) = meet(X_7,X_6) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_7),complement(X_6))),meet(X_7,X_6)) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    meet(X_6,X_7) = meet(X_7,X_6),
    inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) )],[refute_0_175,refute_0_178]) ).

cnf(refute_0_180,plain,
    meet(zero,X_41) = meet(X_41,zero),
    inference(subst,[],[refute_0_179:[bind(X_6,$fot(zero)),bind(X_7,$fot(X_41))]]) ).

cnf(refute_0_181,plain,
    ( meet(zero,X_41) != meet(X_41,zero)
    | meet(X_41,zero) = meet(zero,X_41) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(meet(zero,X_41))),bind(Y,$fot(meet(X_41,zero)))]]) ).

cnf(refute_0_182,plain,
    meet(X_41,zero) = meet(zero,X_41),
    inference(resolve,[$cnf( $equal(meet(zero,X_41),meet(X_41,zero)) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    ( X_41 != join(meet(X_41,top),meet(X_41,zero))
    | meet(X_41,zero) != meet(zero,X_41)
    | X_41 = join(meet(X_41,top),meet(zero,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,top),meet(X_41,zero))) ),[1,1],$fot(meet(zero,X_41))]]) ).

cnf(refute_0_184,plain,
    ( X_41 != join(meet(X_41,top),meet(X_41,zero))
    | X_41 = join(meet(X_41,top),meet(zero,X_41)) ),
    inference(resolve,[$cnf( $equal(meet(X_41,zero),meet(zero,X_41)) )],[refute_0_182,refute_0_183]) ).

cnf(refute_0_185,plain,
    X_41 = join(meet(X_41,top),meet(zero,X_41)),
    inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,top),meet(X_41,zero))) )],[refute_0_169,refute_0_184]) ).

cnf(refute_0_186,plain,
    complement(zero) = join(meet(complement(zero),top),meet(zero,complement(zero))),
    inference(subst,[],[refute_0_185:[bind(X_41,$fot(complement(zero)))]]) ).

cnf(refute_0_187,plain,
    zero = meet(zero,complement(zero)),
    inference(subst,[],[def_zero_13:[bind(A,$fot(zero))]]) ).

cnf(refute_0_188,plain,
    ( zero != meet(zero,complement(zero))
    | meet(zero,complement(zero)) = zero ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,complement(zero))))]]) ).

cnf(refute_0_189,plain,
    meet(zero,complement(zero)) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(zero,complement(zero))) )],[refute_0_187,refute_0_188]) ).

cnf(refute_0_190,plain,
    ( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
    | meet(zero,complement(zero)) != zero
    | complement(zero) = join(meet(complement(zero),top),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_191,plain,
    ( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
    | complement(zero) = join(meet(complement(zero),top),zero) ),
    inference(resolve,[$cnf( $equal(meet(zero,complement(zero)),zero) )],[refute_0_189,refute_0_190]) ).

cnf(refute_0_192,plain,
    complement(zero) = join(meet(complement(zero),top),zero),
    inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) )],[refute_0_186,refute_0_191]) ).

cnf(refute_0_193,plain,
    X_32 = join(meet(X_32,complement(complement(X_32))),complement(join(complement(X_32),complement(complement(X_32))))),
    inference(subst,[],[refute_0_126:[bind(A,$fot(X_32)),bind(B,$fot(complement(complement(X_32))))]]) ).

cnf(refute_0_194,plain,
    top = join(complement(X_32),complement(complement(X_32))),
    inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_32)))]]) ).

cnf(refute_0_195,plain,
    ( top != join(complement(X_32),complement(complement(X_32)))
    | join(complement(X_32),complement(complement(X_32))) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_32),complement(complement(X_32)))))]]) ).

cnf(refute_0_196,plain,
    join(complement(X_32),complement(complement(X_32))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(X_32),complement(complement(X_32)))) )],[refute_0_194,refute_0_195]) ).

cnf(refute_0_197,plain,
    ( X_32 != join(meet(X_32,complement(complement(X_32))),complement(join(complement(X_32),complement(complement(X_32)))))
    | join(complement(X_32),complement(complement(X_32))) != top
    | X_32 = join(meet(X_32,complement(complement(X_32))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(X_32,complement(complement(X_32))),complement(join(complement(X_32),complement(complement(X_32)))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_198,plain,
    ( X_32 != join(meet(X_32,complement(complement(X_32))),complement(join(complement(X_32),complement(complement(X_32)))))
    | X_32 = join(meet(X_32,complement(complement(X_32))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_32),complement(complement(X_32))),top) )],[refute_0_196,refute_0_197]) ).

cnf(refute_0_199,plain,
    X_32 = join(meet(X_32,complement(complement(X_32))),complement(top)),
    inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,complement(complement(X_32))),complement(join(complement(X_32),complement(complement(X_32)))))) )],[refute_0_193,refute_0_198]) ).

cnf(refute_0_200,plain,
    join(complement(top),meet(X_32,complement(complement(X_32)))) = join(complement(top),meet(X_32,complement(complement(X_32)))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(X_32,complement(complement(X_32)))))]]) ).

cnf(refute_0_201,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_32,complement(complement(X_32)))) != join(complement(top),meet(X_32,complement(complement(X_32))))
    | join(complement(top),meet(X_32,complement(complement(X_32)))) = join(zero,meet(X_32,complement(complement(X_32)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_32,complement(complement(X_32)))),join(complement(top),meet(X_32,complement(complement(X_32))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_202,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_32,complement(complement(X_32)))) = join(zero,meet(X_32,complement(complement(X_32)))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_32,complement(complement(X_32)))),join(complement(top),meet(X_32,complement(complement(X_32))))) )],[refute_0_200,refute_0_201]) ).

cnf(refute_0_203,plain,
    join(complement(top),meet(X_32,complement(complement(X_32)))) = join(zero,meet(X_32,complement(complement(X_32)))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_202]) ).

cnf(refute_0_204,plain,
    join(meet(X_32,complement(complement(X_32))),complement(top)) = join(complement(top),meet(X_32,complement(complement(X_32)))),
    inference(subst,[],[refute_0_5:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_32,complement(complement(X_32)))))]]) ).

cnf(refute_0_205,plain,
    ( join(complement(top),meet(X_32,complement(complement(X_32)))) != join(zero,meet(X_32,complement(complement(X_32))))
    | join(meet(X_32,complement(complement(X_32))),complement(top)) != join(complement(top),meet(X_32,complement(complement(X_32))))
    | join(meet(X_32,complement(complement(X_32))),complement(top)) = join(zero,meet(X_32,complement(complement(X_32)))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(meet(X_32,complement(complement(X_32))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_32,complement(complement(X_32)))))),bind(Z,$fot(join(zero,meet(X_32,complement(complement(X_32))))))]]) ).

cnf(refute_0_206,plain,
    ( join(complement(top),meet(X_32,complement(complement(X_32)))) != join(zero,meet(X_32,complement(complement(X_32))))
    | join(meet(X_32,complement(complement(X_32))),complement(top)) = join(zero,meet(X_32,complement(complement(X_32)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_32,complement(complement(X_32))),complement(top)),join(complement(top),meet(X_32,complement(complement(X_32))))) )],[refute_0_204,refute_0_205]) ).

cnf(refute_0_207,plain,
    join(meet(X_32,complement(complement(X_32))),complement(top)) = join(zero,meet(X_32,complement(complement(X_32)))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_32,complement(complement(X_32)))),join(zero,meet(X_32,complement(complement(X_32))))) )],[refute_0_203,refute_0_206]) ).

cnf(refute_0_208,plain,
    ( X_32 != join(meet(X_32,complement(complement(X_32))),complement(top))
    | join(meet(X_32,complement(complement(X_32))),complement(top)) != join(zero,meet(X_32,complement(complement(X_32))))
    | X_32 = join(zero,meet(X_32,complement(complement(X_32)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_32,join(zero,meet(X_32,complement(complement(X_32))))) ),[0],$fot(join(meet(X_32,complement(complement(X_32))),complement(top)))]]) ).

cnf(refute_0_209,plain,
    ( X_32 != join(meet(X_32,complement(complement(X_32))),complement(top))
    | X_32 = join(zero,meet(X_32,complement(complement(X_32)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_32,complement(complement(X_32))),complement(top)),join(zero,meet(X_32,complement(complement(X_32))))) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    X_32 = join(zero,meet(X_32,complement(complement(X_32)))),
    inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,complement(complement(X_32))),complement(top))) )],[refute_0_199,refute_0_209]) ).

cnf(refute_0_211,plain,
    top = join(zero,meet(top,complement(complement(top)))),
    inference(subst,[],[refute_0_210:[bind(X_32,$fot(top))]]) ).

cnf(refute_0_212,plain,
    ( complement(top) != zero
    | top != join(zero,meet(top,complement(complement(top))))
    | top = join(zero,meet(top,complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) ),[1,1,1,0],$fot(zero)]]) ).

cnf(refute_0_213,plain,
    ( top != join(zero,meet(top,complement(complement(top))))
    | top = join(zero,meet(top,complement(zero))) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_212]) ).

cnf(refute_0_214,plain,
    top = join(zero,meet(top,complement(zero))),
    inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_211,refute_0_213]) ).

cnf(refute_0_215,plain,
    ( top != join(zero,meet(top,complement(zero)))
    | join(zero,meet(top,complement(zero))) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).

cnf(refute_0_216,plain,
    join(zero,meet(top,complement(zero))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_214,refute_0_215]) ).

cnf(refute_0_217,plain,
    meet(A,top) = complement(join(complement(A),complement(top))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(top))]]) ).

cnf(refute_0_218,plain,
    ( complement(top) != zero
    | meet(A,top) != complement(join(complement(A),complement(top)))
    | meet(A,top) = complement(join(complement(A),zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(A,top),complement(join(complement(A),complement(top)))) ),[1,0,1],$fot(zero)]]) ).

cnf(refute_0_219,plain,
    ( meet(A,top) != complement(join(complement(A),complement(top)))
    | meet(A,top) = complement(join(complement(A),zero)) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_218]) ).

cnf(refute_0_220,plain,
    meet(A,top) = complement(join(complement(A),zero)),
    inference(resolve,[$cnf( $equal(meet(A,top),complement(join(complement(A),complement(top)))) )],[refute_0_217,refute_0_219]) ).

cnf(refute_0_221,plain,
    meet(top,B) = complement(join(complement(top),complement(B))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(top))]]) ).

cnf(refute_0_222,plain,
    ( complement(top) != zero
    | meet(top,B) != complement(join(complement(top),complement(B)))
    | meet(top,B) = complement(join(zero,complement(B))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) ),[1,0,0],$fot(zero)]]) ).

cnf(refute_0_223,plain,
    ( meet(top,B) != complement(join(complement(top),complement(B)))
    | meet(top,B) = complement(join(zero,complement(B))) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_222]) ).

cnf(refute_0_224,plain,
    meet(top,B) = complement(join(zero,complement(B))),
    inference(resolve,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) )],[refute_0_221,refute_0_223]) ).

cnf(refute_0_225,plain,
    ( meet(top,B) != complement(join(zero,complement(B)))
    | complement(join(zero,complement(B))) = meet(top,B) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(meet(top,B))),bind(Y,$fot(complement(join(zero,complement(B)))))]]) ).

cnf(refute_0_226,plain,
    complement(join(zero,complement(B))) = meet(top,B),
    inference(resolve,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    complement(join(zero,complement(A))) = meet(top,A),
    inference(subst,[],[refute_0_226:[bind(B,$fot(A))]]) ).

cnf(refute_0_228,plain,
    join(complement(A),zero) = join(zero,complement(A)),
    inference(subst,[],[refute_0_5:[bind(A,$fot(zero)),bind(B,$fot(complement(A)))]]) ).

cnf(refute_0_229,plain,
    complement(join(complement(A),zero)) = complement(join(complement(A),zero)),
    introduced(tautology,[refl,[$fot(complement(join(complement(A),zero)))]]) ).

cnf(refute_0_230,plain,
    ( complement(join(complement(A),zero)) != complement(join(complement(A),zero))
    | join(complement(A),zero) != join(zero,complement(A))
    | complement(join(complement(A),zero)) = complement(join(zero,complement(A))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(complement(A),zero))) ),[1,0],$fot(join(zero,complement(A)))]]) ).

cnf(refute_0_231,plain,
    ( join(complement(A),zero) != join(zero,complement(A))
    | complement(join(complement(A),zero)) = complement(join(zero,complement(A))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(complement(A),zero))) )],[refute_0_229,refute_0_230]) ).

cnf(refute_0_232,plain,
    complement(join(complement(A),zero)) = complement(join(zero,complement(A))),
    inference(resolve,[$cnf( $equal(join(complement(A),zero),join(zero,complement(A))) )],[refute_0_228,refute_0_231]) ).

cnf(refute_0_233,plain,
    ( complement(join(complement(A),zero)) != complement(join(zero,complement(A)))
    | complement(join(zero,complement(A))) != meet(top,A)
    | complement(join(complement(A),zero)) = meet(top,A) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(complement(join(complement(A),zero)))),bind(Y,$fot(complement(join(zero,complement(A))))),bind(Z,$fot(meet(top,A)))]]) ).

cnf(refute_0_234,plain,
    ( complement(join(zero,complement(A))) != meet(top,A)
    | complement(join(complement(A),zero)) = meet(top,A) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(zero,complement(A)))) )],[refute_0_232,refute_0_233]) ).

cnf(refute_0_235,plain,
    complement(join(complement(A),zero)) = meet(top,A),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(A))),meet(top,A)) )],[refute_0_227,refute_0_234]) ).

cnf(refute_0_236,plain,
    ( complement(join(complement(A),zero)) != meet(top,A)
    | meet(A,top) != complement(join(complement(A),zero))
    | meet(A,top) = meet(top,A) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(A,top),complement(join(complement(A),zero))) ),[1],$fot(meet(top,A))]]) ).

cnf(refute_0_237,plain,
    ( meet(A,top) != complement(join(complement(A),zero))
    | meet(A,top) = meet(top,A) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),meet(top,A)) )],[refute_0_235,refute_0_236]) ).

cnf(refute_0_238,plain,
    meet(A,top) = meet(top,A),
    inference(resolve,[$cnf( $equal(meet(A,top),complement(join(complement(A),zero))) )],[refute_0_220,refute_0_237]) ).

cnf(refute_0_239,plain,
    meet(complement(zero),top) = meet(top,complement(zero)),
    inference(subst,[],[refute_0_238:[bind(A,$fot(complement(zero)))]]) ).

cnf(refute_0_240,plain,
    join(zero,meet(complement(zero),top)) = join(zero,meet(complement(zero),top)),
    introduced(tautology,[refl,[$fot(join(zero,meet(complement(zero),top)))]]) ).

cnf(refute_0_241,plain,
    ( join(zero,meet(complement(zero),top)) != join(zero,meet(complement(zero),top))
    | meet(complement(zero),top) != meet(top,complement(zero))
    | join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) ),[1,1],$fot(meet(top,complement(zero)))]]) ).

cnf(refute_0_242,plain,
    ( meet(complement(zero),top) != meet(top,complement(zero))
    | join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))),
    inference(resolve,[$cnf( $equal(meet(complement(zero),top),meet(top,complement(zero))) )],[refute_0_239,refute_0_242]) ).

cnf(refute_0_244,plain,
    ( join(zero,meet(complement(zero),top)) != join(zero,meet(top,complement(zero)))
    | join(zero,meet(top,complement(zero))) != top
    | join(zero,meet(complement(zero),top)) = top ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(zero,meet(complement(zero),top)))),bind(Y,$fot(join(zero,meet(top,complement(zero))))),bind(Z,$fot(top))]]) ).

cnf(refute_0_245,plain,
    ( join(zero,meet(top,complement(zero))) != top
    | join(zero,meet(complement(zero),top)) = top ),
    inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(top,complement(zero)))) )],[refute_0_243,refute_0_244]) ).

cnf(refute_0_246,plain,
    join(zero,meet(complement(zero),top)) = top,
    inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_216,refute_0_245]) ).

cnf(refute_0_247,plain,
    join(meet(complement(zero),top),zero) = join(zero,meet(complement(zero),top)),
    inference(subst,[],[refute_0_5:[bind(A,$fot(zero)),bind(B,$fot(meet(complement(zero),top)))]]) ).

cnf(refute_0_248,plain,
    ( join(meet(complement(zero),top),zero) != join(zero,meet(complement(zero),top))
    | join(zero,meet(complement(zero),top)) != top
    | join(meet(complement(zero),top),zero) = top ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(meet(complement(zero),top),zero))),bind(Y,$fot(join(zero,meet(complement(zero),top)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_249,plain,
    ( join(zero,meet(complement(zero),top)) != top
    | join(meet(complement(zero),top),zero) = top ),
    inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),join(zero,meet(complement(zero),top))) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    join(meet(complement(zero),top),zero) = top,
    inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),top) )],[refute_0_246,refute_0_249]) ).

cnf(refute_0_251,plain,
    ( complement(zero) != join(meet(complement(zero),top),zero)
    | join(meet(complement(zero),top),zero) != top
    | complement(zero) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(meet(complement(zero),top),zero))]]) ).

cnf(refute_0_252,plain,
    ( complement(zero) != join(meet(complement(zero),top),zero)
    | complement(zero) = top ),
    inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),top) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    complement(zero) = top,
    inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),zero)) )],[refute_0_192,refute_0_252]) ).

cnf(refute_0_254,plain,
    ( complement(zero) != top
    | composition(join(one,one),complement(zero)) != complement(zero)
    | composition(join(one,one),top) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(zero)),complement(zero)) ),[0,1],$fot(top)]]) ).

cnf(refute_0_255,plain,
    ( composition(join(one,one),complement(zero)) != complement(zero)
    | composition(join(one,one),top) = complement(zero) ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_253,refute_0_254]) ).

cnf(refute_0_256,plain,
    composition(join(one,one),top) = complement(zero),
    inference(resolve,[$cnf( $equal(composition(join(one,one),complement(zero)),complement(zero)) )],[refute_0_109,refute_0_255]) ).

cnf(refute_0_257,plain,
    ( complement(zero) != top
    | composition(join(one,one),top) != complement(zero)
    | composition(join(one,one),top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),top),complement(zero)) ),[1],$fot(top)]]) ).

cnf(refute_0_258,plain,
    ( composition(join(one,one),top) != complement(zero)
    | composition(join(one,one),top) = top ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_253,refute_0_257]) ).

cnf(refute_0_259,plain,
    composition(join(one,one),top) = top,
    inference(resolve,[$cnf( $equal(composition(join(one,one),top),complement(zero)) )],[refute_0_256,refute_0_258]) ).

cnf(refute_0_260,plain,
    ( composition(join(join(one,one),B),top) != join(composition(join(one,one),top),composition(B,top))
    | composition(join(one,one),top) != top
    | composition(join(join(one,one),B),top) = join(top,composition(B,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),B),top),join(composition(join(one,one),top),composition(B,top))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_261,plain,
    ( composition(join(join(one,one),B),top) != join(composition(join(one,one),top),composition(B,top))
    | composition(join(join(one,one),B),top) = join(top,composition(B,top)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,one),top),top) )],[refute_0_259,refute_0_260]) ).

cnf(refute_0_262,plain,
    composition(join(join(one,one),B),top) = join(top,composition(B,top)),
    inference(resolve,[$cnf( $equal(composition(join(join(one,one),B),top),join(composition(join(one,one),top),composition(B,top))) )],[refute_0_0,refute_0_261]) ).

cnf(refute_0_263,plain,
    ( join(A,join(B,C)) != join(join(A,B),C)
    | join(join(A,B),C) = join(A,join(B,C)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(A,join(B,C)))),bind(Y,$fot(join(join(A,B),C)))]]) ).

cnf(refute_0_264,plain,
    join(join(A,B),C) = join(A,join(B,C)),
    inference(resolve,[$cnf( $equal(join(A,join(B,C)),join(join(A,B),C)) )],[maddux2_join_associativity_2,refute_0_263]) ).

cnf(refute_0_265,plain,
    join(join(one,one),B) = join(one,join(one,B)),
    inference(subst,[],[refute_0_264:[bind(A,$fot(one)),bind(B,$fot(one)),bind(C,$fot(B))]]) ).

cnf(refute_0_266,plain,
    composition(join(join(one,one),B),top) = composition(join(join(one,one),B),top),
    introduced(tautology,[refl,[$fot(composition(join(join(one,one),B),top))]]) ).

cnf(refute_0_267,plain,
    ( composition(join(join(one,one),B),top) != composition(join(join(one,one),B),top)
    | join(join(one,one),B) != join(one,join(one,B))
    | composition(join(join(one,one),B),top) = composition(join(one,join(one,B)),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),B),top),composition(join(join(one,one),B),top)) ),[1,0],$fot(join(one,join(one,B)))]]) ).

cnf(refute_0_268,plain,
    ( join(join(one,one),B) != join(one,join(one,B))
    | composition(join(join(one,one),B),top) = composition(join(one,join(one,B)),top) ),
    inference(resolve,[$cnf( $equal(composition(join(join(one,one),B),top),composition(join(join(one,one),B),top)) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    composition(join(join(one,one),B),top) = composition(join(one,join(one,B)),top),
    inference(resolve,[$cnf( $equal(join(join(one,one),B),join(one,join(one,B))) )],[refute_0_265,refute_0_268]) ).

cnf(refute_0_270,plain,
    ( composition(join(join(one,one),B),top) != composition(join(one,join(one,B)),top)
    | composition(join(join(one,one),B),top) != join(top,composition(B,top))
    | composition(join(one,join(one,B)),top) = join(top,composition(B,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),B),top),join(top,composition(B,top))) ),[0],$fot(composition(join(one,join(one,B)),top))]]) ).

cnf(refute_0_271,plain,
    ( composition(join(join(one,one),B),top) != join(top,composition(B,top))
    | composition(join(one,join(one,B)),top) = join(top,composition(B,top)) ),
    inference(resolve,[$cnf( $equal(composition(join(join(one,one),B),top),composition(join(one,join(one,B)),top)) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    top = join(join(X_50,X_51),complement(join(X_50,X_51))),
    inference(subst,[],[def_top_12:[bind(A,$fot(join(X_50,X_51)))]]) ).

cnf(refute_0_273,plain,
    join(X_50,join(X_51,complement(join(X_50,X_51)))) = join(join(X_50,X_51),complement(join(X_50,X_51))),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_50)),bind(B,$fot(X_51)),bind(C,$fot(complement(join(X_50,X_51))))]]) ).

cnf(refute_0_274,plain,
    ( join(X_50,join(X_51,complement(join(X_50,X_51)))) != join(join(X_50,X_51),complement(join(X_50,X_51)))
    | join(join(X_50,X_51),complement(join(X_50,X_51))) = join(X_50,join(X_51,complement(join(X_50,X_51)))) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(X_50,join(X_51,complement(join(X_50,X_51)))))),bind(Y,$fot(join(join(X_50,X_51),complement(join(X_50,X_51)))))]]) ).

cnf(refute_0_275,plain,
    join(join(X_50,X_51),complement(join(X_50,X_51))) = join(X_50,join(X_51,complement(join(X_50,X_51)))),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,complement(join(X_50,X_51)))),join(join(X_50,X_51),complement(join(X_50,X_51)))) )],[refute_0_273,refute_0_274]) ).

cnf(refute_0_276,plain,
    ( join(join(X_50,X_51),complement(join(X_50,X_51))) != join(X_50,join(X_51,complement(join(X_50,X_51))))
    | top != join(join(X_50,X_51),complement(join(X_50,X_51)))
    | top = join(X_50,join(X_51,complement(join(X_50,X_51)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_50,X_51),complement(join(X_50,X_51)))) ),[1],$fot(join(X_50,join(X_51,complement(join(X_50,X_51)))))]]) ).

cnf(refute_0_277,plain,
    ( top != join(join(X_50,X_51),complement(join(X_50,X_51)))
    | top = join(X_50,join(X_51,complement(join(X_50,X_51)))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,X_51),complement(join(X_50,X_51))),join(X_50,join(X_51,complement(join(X_50,X_51))))) )],[refute_0_275,refute_0_276]) ).

cnf(refute_0_278,plain,
    top = join(X_50,join(X_51,complement(join(X_50,X_51)))),
    inference(resolve,[$cnf( $equal(top,join(join(X_50,X_51),complement(join(X_50,X_51)))) )],[refute_0_272,refute_0_277]) ).

cnf(refute_0_279,plain,
    top = join(X_50,join(join(complement(X_50),X_62),complement(join(X_50,join(complement(X_50),X_62))))),
    inference(subst,[],[refute_0_278:[bind(X_51,$fot(join(complement(X_50),X_62)))]]) ).

cnf(refute_0_280,plain,
    join(X_50,join(complement(X_50),X_52)) = join(join(X_50,complement(X_50)),X_52),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_50)),bind(B,$fot(complement(X_50))),bind(C,$fot(X_52))]]) ).

cnf(refute_0_281,plain,
    top = join(X_50,complement(X_50)),
    inference(subst,[],[def_top_12:[bind(A,$fot(X_50))]]) ).

cnf(refute_0_282,plain,
    ( top != join(X_50,complement(X_50))
    | join(X_50,complement(X_50)) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(X_50,complement(X_50))))]]) ).

cnf(refute_0_283,plain,
    join(X_50,complement(X_50)) = top,
    inference(resolve,[$cnf( $equal(top,join(X_50,complement(X_50))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    ( join(X_50,complement(X_50)) != top
    | join(X_50,join(complement(X_50),X_52)) != join(join(X_50,complement(X_50)),X_52)
    | join(X_50,join(complement(X_50),X_52)) = join(top,X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(complement(X_50),X_52)),join(join(X_50,complement(X_50)),X_52)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_285,plain,
    ( join(X_50,join(complement(X_50),X_52)) != join(join(X_50,complement(X_50)),X_52)
    | join(X_50,join(complement(X_50),X_52)) = join(top,X_52) ),
    inference(resolve,[$cnf( $equal(join(X_50,complement(X_50)),top) )],[refute_0_283,refute_0_284]) ).

cnf(refute_0_286,plain,
    join(X_50,join(complement(X_50),X_52)) = join(top,X_52),
    inference(resolve,[$cnf( $equal(join(X_50,join(complement(X_50),X_52)),join(join(X_50,complement(X_50)),X_52)) )],[refute_0_280,refute_0_285]) ).

cnf(refute_0_287,plain,
    join(X_50,join(complement(X_50),X_62)) = join(top,X_62),
    inference(subst,[],[refute_0_286:[bind(X_52,$fot(X_62))]]) ).

cnf(refute_0_288,plain,
    ( join(X_50,join(complement(X_50),X_62)) != join(top,X_62)
    | top != join(X_50,join(join(complement(X_50),X_62),complement(join(X_50,join(complement(X_50),X_62)))))
    | top = join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(X_50,join(join(complement(X_50),X_62),complement(join(X_50,join(complement(X_50),X_62)))))) ),[1,1,1,0],$fot(join(top,X_62))]]) ).

cnf(refute_0_289,plain,
    ( top != join(X_50,join(join(complement(X_50),X_62),complement(join(X_50,join(complement(X_50),X_62)))))
    | top = join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))) ),
    inference(resolve,[$cnf( $equal(join(X_50,join(complement(X_50),X_62)),join(top,X_62)) )],[refute_0_287,refute_0_288]) ).

cnf(refute_0_290,plain,
    top = join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))),
    inference(resolve,[$cnf( $equal(top,join(X_50,join(join(complement(X_50),X_62),complement(join(X_50,join(complement(X_50),X_62)))))) )],[refute_0_279,refute_0_289]) ).

cnf(refute_0_291,plain,
    join(A,join(X_50,X_51)) = join(join(X_50,X_51),A),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(B,$fot(join(X_50,X_51)))]]) ).

cnf(refute_0_292,plain,
    join(X_50,join(X_51,A)) = join(join(X_50,X_51),A),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_50)),bind(B,$fot(X_51)),bind(C,$fot(A))]]) ).

cnf(refute_0_293,plain,
    ( join(X_50,join(X_51,A)) != join(join(X_50,X_51),A)
    | join(join(X_50,X_51),A) = join(X_50,join(X_51,A)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(X_50,join(X_51,A)))),bind(Y,$fot(join(join(X_50,X_51),A)))]]) ).

cnf(refute_0_294,plain,
    join(join(X_50,X_51),A) = join(X_50,join(X_51,A)),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,A)),join(join(X_50,X_51),A)) )],[refute_0_292,refute_0_293]) ).

cnf(refute_0_295,plain,
    ( join(A,join(X_50,X_51)) != join(join(X_50,X_51),A)
    | join(join(X_50,X_51),A) != join(X_50,join(X_51,A))
    | join(A,join(X_50,X_51)) = join(X_50,join(X_51,A)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_50,X_51)),join(X_50,join(X_51,A))) ),[0],$fot(join(join(X_50,X_51),A))]]) ).

cnf(refute_0_296,plain,
    ( join(A,join(X_50,X_51)) != join(join(X_50,X_51),A)
    | join(A,join(X_50,X_51)) = join(X_50,join(X_51,A)) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,X_51),A),join(X_50,join(X_51,A))) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    join(A,join(X_50,X_51)) = join(X_50,join(X_51,A)),
    inference(resolve,[$cnf( $equal(join(A,join(X_50,X_51)),join(join(X_50,X_51),A)) )],[refute_0_291,refute_0_296]) ).

cnf(refute_0_298,plain,
    ( join(A,join(X_50,X_51)) != join(X_50,join(X_51,A))
    | join(X_50,join(X_51,A)) = join(A,join(X_50,X_51)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(A,join(X_50,X_51)))),bind(Y,$fot(join(X_50,join(X_51,A))))]]) ).

cnf(refute_0_299,plain,
    join(X_50,join(X_51,A)) = join(A,join(X_50,X_51)),
    inference(resolve,[$cnf( $equal(join(A,join(X_50,X_51)),join(X_50,join(X_51,A))) )],[refute_0_297,refute_0_298]) ).

cnf(refute_0_300,plain,
    join(complement(join(top,X_62)),join(complement(X_50),X_62)) = join(X_62,join(complement(join(top,X_62)),complement(X_50))),
    inference(subst,[],[refute_0_299:[bind(A,$fot(X_62)),bind(X_50,$fot(complement(join(top,X_62)))),bind(X_51,$fot(complement(X_50)))]]) ).

cnf(refute_0_301,plain,
    join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))) = join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))),
    introduced(tautology,[refl,[$fot(join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))))]]) ).

cnf(refute_0_302,plain,
    ( join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))) != join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62)))
    | join(complement(join(top,X_62)),join(complement(X_50),X_62)) != join(X_62,join(complement(join(top,X_62)),complement(X_50)))
    | join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))) = join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))),join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62)))) ),[1,1],$fot(join(X_62,join(complement(join(top,X_62)),complement(X_50))))]]) ).

cnf(refute_0_303,plain,
    ( join(complement(join(top,X_62)),join(complement(X_50),X_62)) != join(X_62,join(complement(join(top,X_62)),complement(X_50)))
    | join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))) = join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) ),
    inference(resolve,[$cnf( $equal(join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))),join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62)))) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))) = join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))),
    inference(resolve,[$cnf( $equal(join(complement(join(top,X_62)),join(complement(X_50),X_62)),join(X_62,join(complement(join(top,X_62)),complement(X_50)))) )],[refute_0_300,refute_0_303]) ).

cnf(refute_0_305,plain,
    join(X_50,join(X_51,X_52)) = join(join(X_50,X_51),X_52),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_50)),bind(B,$fot(X_51)),bind(C,$fot(X_52))]]) ).

cnf(refute_0_306,plain,
    join(X_52,X_51) = join(X_51,X_52),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_52)),bind(B,$fot(X_51))]]) ).

cnf(refute_0_307,plain,
    ( join(X_52,X_51) != join(X_51,X_52)
    | join(X_51,X_52) = join(X_52,X_51) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(X_52,X_51))),bind(Y,$fot(join(X_51,X_52)))]]) ).

cnf(refute_0_308,plain,
    join(X_51,X_52) = join(X_52,X_51),
    inference(resolve,[$cnf( $equal(join(X_52,X_51),join(X_51,X_52)) )],[refute_0_306,refute_0_307]) ).

cnf(refute_0_309,plain,
    ( join(X_50,join(X_51,X_52)) != join(join(X_50,X_51),X_52)
    | join(X_51,X_52) != join(X_52,X_51)
    | join(X_50,join(X_52,X_51)) = join(join(X_50,X_51),X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(join(X_50,X_51),X_52)) ),[0,1],$fot(join(X_52,X_51))]]) ).

cnf(refute_0_310,plain,
    ( join(X_50,join(X_51,X_52)) != join(join(X_50,X_51),X_52)
    | join(X_50,join(X_52,X_51)) = join(join(X_50,X_51),X_52) ),
    inference(resolve,[$cnf( $equal(join(X_51,X_52),join(X_52,X_51)) )],[refute_0_308,refute_0_309]) ).

cnf(refute_0_311,plain,
    join(X_50,join(X_52,X_51)) = join(join(X_50,X_51),X_52),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(join(X_50,X_51),X_52)) )],[refute_0_305,refute_0_310]) ).

cnf(refute_0_312,plain,
    join(join(X_50,X_51),X_52) = join(X_50,join(X_51,X_52)),
    inference(subst,[],[refute_0_264:[bind(A,$fot(X_50)),bind(B,$fot(X_51)),bind(C,$fot(X_52))]]) ).

cnf(refute_0_313,plain,
    ( join(X_50,join(X_52,X_51)) != join(join(X_50,X_51),X_52)
    | join(join(X_50,X_51),X_52) != join(X_50,join(X_51,X_52))
    | join(X_50,join(X_52,X_51)) = join(X_50,join(X_51,X_52)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,join(X_52,X_51)),join(X_50,join(X_51,X_52))) ),[0],$fot(join(join(X_50,X_51),X_52))]]) ).

cnf(refute_0_314,plain,
    ( join(X_50,join(X_52,X_51)) != join(join(X_50,X_51),X_52)
    | join(X_50,join(X_52,X_51)) = join(X_50,join(X_51,X_52)) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,X_51),X_52),join(X_50,join(X_51,X_52))) )],[refute_0_312,refute_0_313]) ).

cnf(refute_0_315,plain,
    join(X_50,join(X_52,X_51)) = join(X_50,join(X_51,X_52)),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_52,X_51)),join(join(X_50,X_51),X_52)) )],[refute_0_311,refute_0_314]) ).

cnf(refute_0_316,plain,
    ( join(X_50,join(X_52,X_51)) != join(X_50,join(X_51,X_52))
    | join(X_50,join(X_51,X_52)) = join(X_50,join(X_52,X_51)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(X_50,join(X_52,X_51)))),bind(Y,$fot(join(X_50,join(X_51,X_52))))]]) ).

cnf(refute_0_317,plain,
    join(X_50,join(X_51,X_52)) = join(X_50,join(X_52,X_51)),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_52,X_51)),join(X_50,join(X_51,X_52))) )],[refute_0_315,refute_0_316]) ).

cnf(refute_0_318,plain,
    join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))) = join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))),
    inference(subst,[],[refute_0_317:[bind(X_51,$fot(join(complement(X_50),X_62))),bind(X_52,$fot(complement(join(top,X_62))))]]) ).

cnf(refute_0_319,plain,
    ( join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))) != join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))
    | join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))) != join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62)))
    | join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))) = join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))))),bind(Y,$fot(join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))))),bind(Z,$fot(join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))))]]) ).

cnf(refute_0_320,plain,
    ( join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))) != join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))
    | join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))) = join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) ),
    inference(resolve,[$cnf( $equal(join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))),join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62)))) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))) = join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))),
    inference(resolve,[$cnf( $equal(join(X_50,join(complement(join(top,X_62)),join(complement(X_50),X_62))),join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))) )],[refute_0_304,refute_0_320]) ).

cnf(refute_0_322,plain,
    ( join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))) != join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))
    | top != join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62))))
    | top = join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62))))) ),[1],$fot(join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))))]]) ).

cnf(refute_0_323,plain,
    ( top != join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62))))
    | top = join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) ),
    inference(resolve,[$cnf( $equal(join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62)))),join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))) )],[refute_0_321,refute_0_322]) ).

cnf(refute_0_324,plain,
    top = join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))),
    inference(resolve,[$cnf( $equal(top,join(X_50,join(join(complement(X_50),X_62),complement(join(top,X_62))))) )],[refute_0_290,refute_0_323]) ).

cnf(refute_0_325,plain,
    join(X_61,join(complement(X_61),X_62)) = join(top,X_62),
    inference(subst,[],[refute_0_286:[bind(X_50,$fot(X_61)),bind(X_52,$fot(X_62))]]) ).

cnf(refute_0_326,plain,
    join(X_62,complement(X_61)) = join(complement(X_61),X_62),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_62)),bind(B,$fot(complement(X_61)))]]) ).

cnf(refute_0_327,plain,
    ( join(X_62,complement(X_61)) != join(complement(X_61),X_62)
    | join(complement(X_61),X_62) = join(X_62,complement(X_61)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(X_62,complement(X_61)))),bind(Y,$fot(join(complement(X_61),X_62)))]]) ).

cnf(refute_0_328,plain,
    join(complement(X_61),X_62) = join(X_62,complement(X_61)),
    inference(resolve,[$cnf( $equal(join(X_62,complement(X_61)),join(complement(X_61),X_62)) )],[refute_0_326,refute_0_327]) ).

cnf(refute_0_329,plain,
    ( join(X_61,join(complement(X_61),X_62)) != join(top,X_62)
    | join(complement(X_61),X_62) != join(X_62,complement(X_61))
    | join(X_61,join(X_62,complement(X_61))) = join(top,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_61,join(complement(X_61),X_62)),join(top,X_62)) ),[0,1],$fot(join(X_62,complement(X_61)))]]) ).

cnf(refute_0_330,plain,
    ( join(X_61,join(complement(X_61),X_62)) != join(top,X_62)
    | join(X_61,join(X_62,complement(X_61))) = join(top,X_62) ),
    inference(resolve,[$cnf( $equal(join(complement(X_61),X_62),join(X_62,complement(X_61))) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    join(X_61,join(X_62,complement(X_61))) = join(top,X_62),
    inference(resolve,[$cnf( $equal(join(X_61,join(complement(X_61),X_62)),join(top,X_62)) )],[refute_0_325,refute_0_330]) ).

cnf(refute_0_332,plain,
    join(X_50,join(X_62,complement(X_50))) = join(top,X_62),
    inference(subst,[],[refute_0_331:[bind(X_61,$fot(X_50))]]) ).

cnf(refute_0_333,plain,
    join(meet(zero,zero),B) = join(B,meet(zero,zero)),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(meet(zero,zero)))]]) ).

cnf(refute_0_334,plain,
    join(zero,join(meet(X_32,X_32),X_52)) = join(join(zero,meet(X_32,X_32)),X_52),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(zero)),bind(B,$fot(meet(X_32,X_32))),bind(C,$fot(X_52))]]) ).

cnf(refute_0_335,plain,
    X_32 = join(meet(X_32,complement(X_32)),complement(join(complement(X_32),complement(X_32)))),
    inference(subst,[],[refute_0_126:[bind(A,$fot(X_32)),bind(B,$fot(complement(X_32)))]]) ).

cnf(refute_0_336,plain,
    zero = meet(X_32,complement(X_32)),
    inference(subst,[],[def_zero_13:[bind(A,$fot(X_32))]]) ).

cnf(refute_0_337,plain,
    ( zero != meet(X_32,complement(X_32))
    | meet(X_32,complement(X_32)) = zero ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_32,complement(X_32))))]]) ).

cnf(refute_0_338,plain,
    meet(X_32,complement(X_32)) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(X_32,complement(X_32))) )],[refute_0_336,refute_0_337]) ).

cnf(refute_0_339,plain,
    ( X_32 != join(meet(X_32,complement(X_32)),complement(join(complement(X_32),complement(X_32))))
    | meet(X_32,complement(X_32)) != zero
    | X_32 = join(zero,complement(join(complement(X_32),complement(X_32)))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(X_32,complement(X_32)),complement(join(complement(X_32),complement(X_32))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_340,plain,
    ( X_32 != join(meet(X_32,complement(X_32)),complement(join(complement(X_32),complement(X_32))))
    | X_32 = join(zero,complement(join(complement(X_32),complement(X_32)))) ),
    inference(resolve,[$cnf( $equal(meet(X_32,complement(X_32)),zero) )],[refute_0_338,refute_0_339]) ).

cnf(refute_0_341,plain,
    X_32 = join(zero,complement(join(complement(X_32),complement(X_32)))),
    inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,complement(X_32)),complement(join(complement(X_32),complement(X_32))))) )],[refute_0_335,refute_0_340]) ).

cnf(refute_0_342,plain,
    complement(join(complement(X_32),complement(X_32))) = meet(X_32,X_32),
    inference(subst,[],[refute_0_116:[bind(A,$fot(X_32)),bind(B,$fot(X_32))]]) ).

cnf(refute_0_343,plain,
    join(zero,complement(join(complement(X_32),complement(X_32)))) = join(zero,complement(join(complement(X_32),complement(X_32)))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_32),complement(X_32)))))]]) ).

cnf(refute_0_344,plain,
    ( complement(join(complement(X_32),complement(X_32))) != meet(X_32,X_32)
    | join(zero,complement(join(complement(X_32),complement(X_32)))) != join(zero,complement(join(complement(X_32),complement(X_32))))
    | join(zero,complement(join(complement(X_32),complement(X_32)))) = join(zero,meet(X_32,X_32)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_32),complement(X_32)))),join(zero,complement(join(complement(X_32),complement(X_32))))) ),[1,1],$fot(meet(X_32,X_32))]]) ).

cnf(refute_0_345,plain,
    ( complement(join(complement(X_32),complement(X_32))) != meet(X_32,X_32)
    | join(zero,complement(join(complement(X_32),complement(X_32)))) = join(zero,meet(X_32,X_32)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_32),complement(X_32)))),join(zero,complement(join(complement(X_32),complement(X_32))))) )],[refute_0_343,refute_0_344]) ).

cnf(refute_0_346,plain,
    join(zero,complement(join(complement(X_32),complement(X_32)))) = join(zero,meet(X_32,X_32)),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_32),complement(X_32))),meet(X_32,X_32)) )],[refute_0_342,refute_0_345]) ).

cnf(refute_0_347,plain,
    ( X_32 != join(zero,complement(join(complement(X_32),complement(X_32))))
    | join(zero,complement(join(complement(X_32),complement(X_32)))) != join(zero,meet(X_32,X_32))
    | X_32 = join(zero,meet(X_32,X_32)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_32,join(zero,meet(X_32,X_32))) ),[0],$fot(join(zero,complement(join(complement(X_32),complement(X_32)))))]]) ).

cnf(refute_0_348,plain,
    ( X_32 != join(zero,complement(join(complement(X_32),complement(X_32))))
    | X_32 = join(zero,meet(X_32,X_32)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_32),complement(X_32)))),join(zero,meet(X_32,X_32))) )],[refute_0_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    X_32 = join(zero,meet(X_32,X_32)),
    inference(resolve,[$cnf( $equal(X_32,join(zero,complement(join(complement(X_32),complement(X_32))))) )],[refute_0_341,refute_0_348]) ).

cnf(refute_0_350,plain,
    ( X_32 != join(zero,meet(X_32,X_32))
    | join(zero,meet(X_32,X_32)) = X_32 ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(X_32)),bind(Y,$fot(join(zero,meet(X_32,X_32))))]]) ).

cnf(refute_0_351,plain,
    join(zero,meet(X_32,X_32)) = X_32,
    inference(resolve,[$cnf( $equal(X_32,join(zero,meet(X_32,X_32))) )],[refute_0_349,refute_0_350]) ).

cnf(refute_0_352,plain,
    ( join(zero,join(meet(X_32,X_32),X_52)) != join(join(zero,meet(X_32,X_32)),X_52)
    | join(zero,meet(X_32,X_32)) != X_32
    | join(zero,join(meet(X_32,X_32),X_52)) = join(X_32,X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_32,X_32),X_52)),join(join(zero,meet(X_32,X_32)),X_52)) ),[1,0],$fot(X_32)]]) ).

cnf(refute_0_353,plain,
    ( join(zero,join(meet(X_32,X_32),X_52)) != join(join(zero,meet(X_32,X_32)),X_52)
    | join(zero,join(meet(X_32,X_32),X_52)) = join(X_32,X_52) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_32,X_32)),X_32) )],[refute_0_351,refute_0_352]) ).

cnf(refute_0_354,plain,
    join(zero,join(meet(X_32,X_32),X_52)) = join(X_32,X_52),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(X_32,X_32),X_52)),join(join(zero,meet(X_32,X_32)),X_52)) )],[refute_0_334,refute_0_353]) ).

cnf(refute_0_355,plain,
    join(zero,join(meet(zero,zero),meet(X_32,X_32))) = join(zero,meet(X_32,X_32)),
    inference(subst,[],[refute_0_354:[bind(X_32,$fot(zero)),bind(X_52,$fot(meet(X_32,X_32)))]]) ).

cnf(refute_0_356,plain,
    ( join(zero,join(meet(zero,zero),meet(X_32,X_32))) != join(zero,meet(X_32,X_32))
    | join(zero,meet(X_32,X_32)) != X_32
    | join(zero,join(meet(zero,zero),meet(X_32,X_32))) = X_32 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,join(meet(zero,zero),meet(X_32,X_32))),X_32) ),[0],$fot(join(zero,meet(X_32,X_32)))]]) ).

cnf(refute_0_357,plain,
    ( join(zero,join(meet(zero,zero),meet(X_32,X_32))) != join(zero,meet(X_32,X_32))
    | join(zero,join(meet(zero,zero),meet(X_32,X_32))) = X_32 ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_32,X_32)),X_32) )],[refute_0_351,refute_0_356]) ).

cnf(refute_0_358,plain,
    join(zero,join(meet(zero,zero),meet(X_32,X_32))) = X_32,
    inference(resolve,[$cnf( $equal(join(zero,join(meet(zero,zero),meet(X_32,X_32))),join(zero,meet(X_32,X_32))) )],[refute_0_355,refute_0_357]) ).

cnf(refute_0_359,plain,
    join(zero,join(meet(X_71,X_71),X_72)) = join(X_71,X_72),
    inference(subst,[],[refute_0_354:[bind(X_32,$fot(X_71)),bind(X_52,$fot(X_72))]]) ).

cnf(refute_0_360,plain,
    join(X_72,meet(X_71,X_71)) = join(meet(X_71,X_71),X_72),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_72)),bind(B,$fot(meet(X_71,X_71)))]]) ).

cnf(refute_0_361,plain,
    ( join(X_72,meet(X_71,X_71)) != join(meet(X_71,X_71),X_72)
    | join(meet(X_71,X_71),X_72) = join(X_72,meet(X_71,X_71)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(X_72,meet(X_71,X_71)))),bind(Y,$fot(join(meet(X_71,X_71),X_72)))]]) ).

cnf(refute_0_362,plain,
    join(meet(X_71,X_71),X_72) = join(X_72,meet(X_71,X_71)),
    inference(resolve,[$cnf( $equal(join(X_72,meet(X_71,X_71)),join(meet(X_71,X_71),X_72)) )],[refute_0_360,refute_0_361]) ).

cnf(refute_0_363,plain,
    ( join(meet(X_71,X_71),X_72) != join(X_72,meet(X_71,X_71))
    | join(zero,join(meet(X_71,X_71),X_72)) != join(X_71,X_72)
    | join(zero,join(X_72,meet(X_71,X_71))) = join(X_71,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_71,X_71),X_72)),join(X_71,X_72)) ),[0,1],$fot(join(X_72,meet(X_71,X_71)))]]) ).

cnf(refute_0_364,plain,
    ( join(zero,join(meet(X_71,X_71),X_72)) != join(X_71,X_72)
    | join(zero,join(X_72,meet(X_71,X_71))) = join(X_71,X_72) ),
    inference(resolve,[$cnf( $equal(join(meet(X_71,X_71),X_72),join(X_72,meet(X_71,X_71))) )],[refute_0_362,refute_0_363]) ).

cnf(refute_0_365,plain,
    join(zero,join(X_72,meet(X_71,X_71))) = join(X_71,X_72),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(X_71,X_71),X_72)),join(X_71,X_72)) )],[refute_0_359,refute_0_364]) ).

cnf(refute_0_366,plain,
    join(zero,join(meet(zero,zero),meet(X_32,X_32))) = join(X_32,meet(zero,zero)),
    inference(subst,[],[refute_0_365:[bind(X_71,$fot(X_32)),bind(X_72,$fot(meet(zero,zero)))]]) ).

cnf(refute_0_367,plain,
    ( join(zero,join(meet(zero,zero),meet(X_32,X_32))) != X_32
    | join(zero,join(meet(zero,zero),meet(X_32,X_32))) != join(X_32,meet(zero,zero))
    | join(X_32,meet(zero,zero)) = X_32 ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(zero,zero),meet(X_32,X_32))),X_32) ),[0],$fot(join(X_32,meet(zero,zero)))]]) ).

cnf(refute_0_368,plain,
    ( join(zero,join(meet(zero,zero),meet(X_32,X_32))) != X_32
    | join(X_32,meet(zero,zero)) = X_32 ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(zero,zero),meet(X_32,X_32))),join(X_32,meet(zero,zero))) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    join(X_32,meet(zero,zero)) = X_32,
    inference(resolve,[$cnf( $equal(join(zero,join(meet(zero,zero),meet(X_32,X_32))),X_32) )],[refute_0_358,refute_0_368]) ).

cnf(refute_0_370,plain,
    join(B,meet(zero,zero)) = B,
    inference(subst,[],[refute_0_369:[bind(X_32,$fot(B))]]) ).

cnf(refute_0_371,plain,
    ( join(B,meet(zero,zero)) != B
    | join(meet(zero,zero),B) != join(B,meet(zero,zero))
    | join(meet(zero,zero),B) = B ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,zero),B),join(B,meet(zero,zero))) ),[1],$fot(B)]]) ).

cnf(refute_0_372,plain,
    ( join(meet(zero,zero),B) != join(B,meet(zero,zero))
    | join(meet(zero,zero),B) = B ),
    inference(resolve,[$cnf( $equal(join(B,meet(zero,zero)),B) )],[refute_0_370,refute_0_371]) ).

cnf(refute_0_373,plain,
    join(meet(zero,zero),B) = B,
    inference(resolve,[$cnf( $equal(join(meet(zero,zero),B),join(B,meet(zero,zero))) )],[refute_0_333,refute_0_372]) ).

cnf(refute_0_374,plain,
    X_32 = join(meet(X_32,X_33),complement(join(complement(X_32),X_33))),
    inference(subst,[],[refute_0_126:[bind(A,$fot(X_32)),bind(B,$fot(X_33))]]) ).

cnf(refute_0_375,plain,
    join(X_33,complement(X_32)) = join(complement(X_32),X_33),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_33)),bind(B,$fot(complement(X_32)))]]) ).

cnf(refute_0_376,plain,
    ( join(X_33,complement(X_32)) != join(complement(X_32),X_33)
    | join(complement(X_32),X_33) = join(X_33,complement(X_32)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(X_33,complement(X_32)))),bind(Y,$fot(join(complement(X_32),X_33)))]]) ).

cnf(refute_0_377,plain,
    join(complement(X_32),X_33) = join(X_33,complement(X_32)),
    inference(resolve,[$cnf( $equal(join(X_33,complement(X_32)),join(complement(X_32),X_33)) )],[refute_0_375,refute_0_376]) ).

cnf(refute_0_378,plain,
    ( X_32 != join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))
    | join(complement(X_32),X_33) != join(X_33,complement(X_32))
    | X_32 = join(meet(X_32,X_33),complement(join(X_33,complement(X_32)))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))) ),[1,1,0],$fot(join(X_33,complement(X_32)))]]) ).

cnf(refute_0_379,plain,
    ( X_32 != join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))
    | X_32 = join(meet(X_32,X_33),complement(join(X_33,complement(X_32)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_32),X_33),join(X_33,complement(X_32))) )],[refute_0_377,refute_0_378]) ).

cnf(refute_0_380,plain,
    X_32 = join(meet(X_32,X_33),complement(join(X_33,complement(X_32)))),
    inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))) )],[refute_0_374,refute_0_379]) ).

cnf(refute_0_381,plain,
    zero = join(meet(zero,X_58),complement(join(X_58,complement(zero)))),
    inference(subst,[],[refute_0_380:[bind(X_32,$fot(zero)),bind(X_33,$fot(X_58))]]) ).

cnf(refute_0_382,plain,
    ( complement(zero) != top
    | zero != join(meet(zero,X_58),complement(join(X_58,complement(zero))))
    | zero = join(meet(zero,X_58),complement(join(X_58,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_58),complement(join(X_58,complement(zero))))) ),[1,1,0,1],$fot(top)]]) ).

cnf(refute_0_383,plain,
    ( zero != join(meet(zero,X_58),complement(join(X_58,complement(zero))))
    | zero = join(meet(zero,X_58),complement(join(X_58,top))) ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_253,refute_0_382]) ).

cnf(refute_0_384,plain,
    zero = join(meet(zero,X_58),complement(join(X_58,top))),
    inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_58),complement(join(X_58,complement(zero))))) )],[refute_0_381,refute_0_383]) ).

cnf(refute_0_385,plain,
    zero = join(meet(zero,X_69),complement(join(X_69,top))),
    inference(subst,[],[refute_0_384:[bind(X_58,$fot(X_69))]]) ).

cnf(refute_0_386,plain,
    meet(X_69,zero) = meet(zero,X_69),
    inference(subst,[],[refute_0_179:[bind(X_6,$fot(X_69)),bind(X_7,$fot(zero))]]) ).

cnf(refute_0_387,plain,
    ( meet(X_69,zero) != meet(zero,X_69)
    | meet(zero,X_69) = meet(X_69,zero) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(meet(X_69,zero))),bind(Y,$fot(meet(zero,X_69)))]]) ).

cnf(refute_0_388,plain,
    meet(zero,X_69) = meet(X_69,zero),
    inference(resolve,[$cnf( $equal(meet(X_69,zero),meet(zero,X_69)) )],[refute_0_386,refute_0_387]) ).

cnf(refute_0_389,plain,
    ( meet(zero,X_69) != meet(X_69,zero)
    | zero != join(meet(zero,X_69),complement(join(X_69,top)))
    | zero = join(meet(X_69,zero),complement(join(X_69,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_69),complement(join(X_69,top)))) ),[1,0],$fot(meet(X_69,zero))]]) ).

cnf(refute_0_390,plain,
    ( zero != join(meet(zero,X_69),complement(join(X_69,top)))
    | zero = join(meet(X_69,zero),complement(join(X_69,top))) ),
    inference(resolve,[$cnf( $equal(meet(zero,X_69),meet(X_69,zero)) )],[refute_0_388,refute_0_389]) ).

cnf(refute_0_391,plain,
    zero = join(meet(X_69,zero),complement(join(X_69,top))),
    inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_69),complement(join(X_69,top)))) )],[refute_0_385,refute_0_390]) ).

cnf(refute_0_392,plain,
    zero = join(meet(converse(meet(zero,zero)),zero),complement(join(converse(meet(zero,zero)),top))),
    inference(subst,[],[refute_0_391:[bind(X_69,$fot(converse(meet(zero,zero))))]]) ).

cnf(refute_0_393,plain,
    join(converse(meet(zero,zero)),B) = join(B,converse(meet(zero,zero))),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(meet(zero,zero))))]]) ).

cnf(refute_0_394,plain,
    converse(join(converse(A),meet(zero,zero))) = join(A,converse(meet(zero,zero))),
    inference(subst,[],[refute_0_49:[bind(X_12,$fot(meet(zero,zero)))]]) ).

cnf(refute_0_395,plain,
    join(converse(A),meet(zero,zero)) = converse(A),
    inference(subst,[],[refute_0_369:[bind(X_32,$fot(converse(A)))]]) ).

cnf(refute_0_396,plain,
    ( converse(join(converse(A),meet(zero,zero))) != join(A,converse(meet(zero,zero)))
    | join(converse(A),meet(zero,zero)) != converse(A)
    | converse(converse(A)) = join(A,converse(meet(zero,zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),meet(zero,zero))),join(A,converse(meet(zero,zero)))) ),[0,0],$fot(converse(A))]]) ).

cnf(refute_0_397,plain,
    ( converse(join(converse(A),meet(zero,zero))) != join(A,converse(meet(zero,zero)))
    | converse(converse(A)) = join(A,converse(meet(zero,zero))) ),
    inference(resolve,[$cnf( $equal(join(converse(A),meet(zero,zero)),converse(A)) )],[refute_0_395,refute_0_396]) ).

cnf(refute_0_398,plain,
    converse(converse(A)) = join(A,converse(meet(zero,zero))),
    inference(resolve,[$cnf( $equal(converse(join(converse(A),meet(zero,zero))),join(A,converse(meet(zero,zero)))) )],[refute_0_394,refute_0_397]) ).

cnf(refute_0_399,plain,
    ( converse(converse(A)) != A
    | converse(converse(A)) != join(A,converse(meet(zero,zero)))
    | A = join(A,converse(meet(zero,zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(A)),join(A,converse(meet(zero,zero)))) ),[0],$fot(A)]]) ).

cnf(refute_0_400,plain,
    ( converse(converse(A)) != join(A,converse(meet(zero,zero)))
    | A = join(A,converse(meet(zero,zero))) ),
    inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_399]) ).

cnf(refute_0_401,plain,
    A = join(A,converse(meet(zero,zero))),
    inference(resolve,[$cnf( $equal(converse(converse(A)),join(A,converse(meet(zero,zero)))) )],[refute_0_398,refute_0_400]) ).

cnf(refute_0_402,plain,
    B = join(B,converse(meet(zero,zero))),
    inference(subst,[],[refute_0_401:[bind(A,$fot(B))]]) ).

cnf(refute_0_403,plain,
    ( B != join(B,converse(meet(zero,zero)))
    | join(B,converse(meet(zero,zero))) = B ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(B)),bind(Y,$fot(join(B,converse(meet(zero,zero)))))]]) ).

cnf(refute_0_404,plain,
    join(B,converse(meet(zero,zero))) = B,
    inference(resolve,[$cnf( $equal(B,join(B,converse(meet(zero,zero)))) )],[refute_0_402,refute_0_403]) ).

cnf(refute_0_405,plain,
    ( join(B,converse(meet(zero,zero))) != B
    | join(converse(meet(zero,zero)),B) != join(B,converse(meet(zero,zero)))
    | join(converse(meet(zero,zero)),B) = B ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(zero,zero)),B),join(B,converse(meet(zero,zero)))) ),[1],$fot(B)]]) ).

cnf(refute_0_406,plain,
    ( join(converse(meet(zero,zero)),B) != join(B,converse(meet(zero,zero)))
    | join(converse(meet(zero,zero)),B) = B ),
    inference(resolve,[$cnf( $equal(join(B,converse(meet(zero,zero))),B) )],[refute_0_404,refute_0_405]) ).

cnf(refute_0_407,plain,
    join(converse(meet(zero,zero)),B) = B,
    inference(resolve,[$cnf( $equal(join(converse(meet(zero,zero)),B),join(B,converse(meet(zero,zero)))) )],[refute_0_393,refute_0_406]) ).

cnf(refute_0_408,plain,
    join(converse(meet(zero,zero)),top) = top,
    inference(subst,[],[refute_0_407:[bind(B,$fot(top))]]) ).

cnf(refute_0_409,plain,
    ( join(converse(meet(zero,zero)),top) != top
    | zero != join(meet(converse(meet(zero,zero)),zero),complement(join(converse(meet(zero,zero)),top)))
    | zero = join(meet(converse(meet(zero,zero)),zero),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(converse(meet(zero,zero)),zero),complement(join(converse(meet(zero,zero)),top)))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_410,plain,
    ( zero != join(meet(converse(meet(zero,zero)),zero),complement(join(converse(meet(zero,zero)),top)))
    | zero = join(meet(converse(meet(zero,zero)),zero),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(converse(meet(zero,zero)),top),top) )],[refute_0_408,refute_0_409]) ).

cnf(refute_0_411,plain,
    zero = join(meet(converse(meet(zero,zero)),zero),complement(top)),
    inference(resolve,[$cnf( $equal(zero,join(meet(converse(meet(zero,zero)),zero),complement(join(converse(meet(zero,zero)),top)))) )],[refute_0_392,refute_0_410]) ).

cnf(refute_0_412,plain,
    meet(X_33,X_33) = join(meet(meet(X_33,X_33),X_33),complement(join(X_33,complement(meet(X_33,X_33))))),
    inference(subst,[],[refute_0_380:[bind(X_32,$fot(meet(X_33,X_33)))]]) ).

cnf(refute_0_413,plain,
    join(zero,join(meet(X_71,X_71),complement(meet(X_71,X_71)))) = join(X_71,complement(meet(X_71,X_71))),
    inference(subst,[],[refute_0_354:[bind(X_32,$fot(X_71)),bind(X_52,$fot(complement(meet(X_71,X_71))))]]) ).

cnf(refute_0_414,plain,
    top = join(meet(X_71,X_71),complement(meet(X_71,X_71))),
    inference(subst,[],[def_top_12:[bind(A,$fot(meet(X_71,X_71)))]]) ).

cnf(refute_0_415,plain,
    ( top != join(meet(X_71,X_71),complement(meet(X_71,X_71)))
    | join(meet(X_71,X_71),complement(meet(X_71,X_71))) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(meet(X_71,X_71),complement(meet(X_71,X_71)))))]]) ).

cnf(refute_0_416,plain,
    join(meet(X_71,X_71),complement(meet(X_71,X_71))) = top,
    inference(resolve,[$cnf( $equal(top,join(meet(X_71,X_71),complement(meet(X_71,X_71)))) )],[refute_0_414,refute_0_415]) ).

cnf(refute_0_417,plain,
    ( join(meet(X_71,X_71),complement(meet(X_71,X_71))) != top
    | join(zero,join(meet(X_71,X_71),complement(meet(X_71,X_71)))) != join(X_71,complement(meet(X_71,X_71)))
    | join(zero,top) = join(X_71,complement(meet(X_71,X_71))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_71,X_71),complement(meet(X_71,X_71)))),join(X_71,complement(meet(X_71,X_71)))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_418,plain,
    ( join(zero,join(meet(X_71,X_71),complement(meet(X_71,X_71)))) != join(X_71,complement(meet(X_71,X_71)))
    | join(zero,top) = join(X_71,complement(meet(X_71,X_71))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_71,X_71),complement(meet(X_71,X_71))),top) )],[refute_0_416,refute_0_417]) ).

cnf(refute_0_419,plain,
    join(zero,top) = join(X_71,complement(meet(X_71,X_71))),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(X_71,X_71),complement(meet(X_71,X_71)))),join(X_71,complement(meet(X_71,X_71)))) )],[refute_0_413,refute_0_418]) ).

cnf(refute_0_420,plain,
    top = join(top,complement(top)),
    inference(subst,[],[def_top_12:[bind(A,$fot(top))]]) ).

cnf(refute_0_421,plain,
    ( complement(top) != zero
    | top != join(top,complement(top))
    | top = join(top,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_422,plain,
    ( top != join(top,complement(top))
    | top = join(top,zero) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_421]) ).

cnf(refute_0_423,plain,
    top = join(top,zero),
    inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_420,refute_0_422]) ).

cnf(refute_0_424,plain,
    ( top != join(top,zero)
    | join(top,zero) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).

cnf(refute_0_425,plain,
    join(top,zero) = top,
    inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_423,refute_0_424]) ).

cnf(refute_0_426,plain,
    join(X_50,join(one,join(one,complement(join(one,one))))) = join(join(X_50,one),join(one,complement(join(one,one)))),
    inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_50)),bind(B,$fot(one)),bind(C,$fot(join(one,complement(join(one,one)))))]]) ).

cnf(refute_0_427,plain,
    converse(converse(join(one,join(one,complement(join(one,one)))))) = join(one,join(one,complement(join(one,one)))),
    inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,join(one,complement(join(one,one))))))]]) ).

cnf(refute_0_428,plain,
    converse(join(converse(X_17),complement(converse(X_17)))) = join(X_17,converse(complement(converse(X_17)))),
    inference(subst,[],[refute_0_49:[bind(A,$fot(X_17)),bind(X_12,$fot(complement(converse(X_17))))]]) ).

cnf(refute_0_429,plain,
    top = join(converse(X_17),complement(converse(X_17))),
    inference(subst,[],[def_top_12:[bind(A,$fot(converse(X_17)))]]) ).

cnf(refute_0_430,plain,
    ( top != join(converse(X_17),complement(converse(X_17)))
    | join(converse(X_17),complement(converse(X_17))) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_17),complement(converse(X_17)))))]]) ).

cnf(refute_0_431,plain,
    join(converse(X_17),complement(converse(X_17))) = top,
    inference(resolve,[$cnf( $equal(top,join(converse(X_17),complement(converse(X_17)))) )],[refute_0_429,refute_0_430]) ).

cnf(refute_0_432,plain,
    ( converse(join(converse(X_17),complement(converse(X_17)))) != join(X_17,converse(complement(converse(X_17))))
    | join(converse(X_17),complement(converse(X_17))) != top
    | converse(top) = join(X_17,converse(complement(converse(X_17)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_17),complement(converse(X_17)))),join(X_17,converse(complement(converse(X_17))))) ),[0,0],$fot(top)]]) ).

cnf(refute_0_433,plain,
    ( converse(join(converse(X_17),complement(converse(X_17)))) != join(X_17,converse(complement(converse(X_17))))
    | converse(top) = join(X_17,converse(complement(converse(X_17)))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_17),complement(converse(X_17))),top) )],[refute_0_431,refute_0_432]) ).

cnf(refute_0_434,plain,
    converse(top) = join(X_17,converse(complement(converse(X_17)))),
    inference(resolve,[$cnf( $equal(converse(join(converse(X_17),complement(converse(X_17)))),join(X_17,converse(complement(converse(X_17))))) )],[refute_0_428,refute_0_433]) ).

cnf(refute_0_435,plain,
    converse(top) = join(join(one,one),converse(complement(converse(join(one,one))))),
    inference(subst,[],[refute_0_434:[bind(X_17,$fot(join(one,one)))]]) ).

cnf(refute_0_436,plain,
    ( converse(join(one,one)) != join(one,one)
    | converse(top) != join(join(one,one),converse(complement(converse(join(one,one)))))
    | converse(top) = join(join(one,one),converse(complement(join(one,one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(one,one),converse(complement(converse(join(one,one)))))) ),[1,1,0,0],$fot(join(one,one))]]) ).

cnf(refute_0_437,plain,
    ( converse(top) != join(join(one,one),converse(complement(converse(join(one,one)))))
    | converse(top) = join(join(one,one),converse(complement(join(one,one)))) ),
    inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_57,refute_0_436]) ).

cnf(refute_0_438,plain,
    converse(top) = join(join(one,one),converse(complement(join(one,one)))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(one,one),converse(complement(converse(join(one,one)))))) )],[refute_0_435,refute_0_437]) ).

cnf(refute_0_439,plain,
    join(one,converse(join(one,complement(join(one,one))))) = converse(join(one,join(one,complement(join(one,one))))),
    inference(subst,[],[refute_0_59:[bind(X_12,$fot(join(one,complement(join(one,one)))))]]) ).

cnf(refute_0_440,plain,
    join(one,converse(complement(join(one,one)))) = converse(join(one,complement(join(one,one)))),
    inference(subst,[],[refute_0_59:[bind(X_12,$fot(complement(join(one,one))))]]) ).

cnf(refute_0_441,plain,
    join(one,join(one,converse(complement(join(one,one))))) = join(one,join(one,converse(complement(join(one,one))))),
    introduced(tautology,[refl,[$fot(join(one,join(one,converse(complement(join(one,one))))))]]) ).

cnf(refute_0_442,plain,
    ( join(one,converse(complement(join(one,one)))) != converse(join(one,complement(join(one,one))))
    | join(one,join(one,converse(complement(join(one,one))))) != join(one,join(one,converse(complement(join(one,one)))))
    | join(one,join(one,converse(complement(join(one,one))))) = join(one,converse(join(one,complement(join(one,one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,converse(complement(join(one,one))))),join(one,join(one,converse(complement(join(one,one)))))) ),[1,1],$fot(converse(join(one,complement(join(one,one)))))]]) ).

cnf(refute_0_443,plain,
    ( join(one,converse(complement(join(one,one)))) != converse(join(one,complement(join(one,one))))
    | join(one,join(one,converse(complement(join(one,one))))) = join(one,converse(join(one,complement(join(one,one))))) ),
    inference(resolve,[$cnf( $equal(join(one,join(one,converse(complement(join(one,one))))),join(one,join(one,converse(complement(join(one,one)))))) )],[refute_0_441,refute_0_442]) ).

cnf(refute_0_444,plain,
    join(one,join(one,converse(complement(join(one,one))))) = join(one,converse(join(one,complement(join(one,one))))),
    inference(resolve,[$cnf( $equal(join(one,converse(complement(join(one,one)))),converse(join(one,complement(join(one,one))))) )],[refute_0_440,refute_0_443]) ).

cnf(refute_0_445,plain,
    ( join(one,converse(join(one,complement(join(one,one))))) != converse(join(one,join(one,complement(join(one,one)))))
    | join(one,join(one,converse(complement(join(one,one))))) != join(one,converse(join(one,complement(join(one,one)))))
    | join(one,join(one,converse(complement(join(one,one))))) = converse(join(one,join(one,complement(join(one,one))))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(one,join(one,converse(complement(join(one,one))))))),bind(Y,$fot(join(one,converse(join(one,complement(join(one,one))))))),bind(Z,$fot(converse(join(one,join(one,complement(join(one,one)))))))]]) ).

cnf(refute_0_446,plain,
    ( join(one,converse(join(one,complement(join(one,one))))) != converse(join(one,join(one,complement(join(one,one)))))
    | join(one,join(one,converse(complement(join(one,one))))) = converse(join(one,join(one,complement(join(one,one))))) ),
    inference(resolve,[$cnf( $equal(join(one,join(one,converse(complement(join(one,one))))),join(one,converse(join(one,complement(join(one,one)))))) )],[refute_0_444,refute_0_445]) ).

cnf(refute_0_447,plain,
    join(one,join(one,converse(complement(join(one,one))))) = converse(join(one,join(one,complement(join(one,one))))),
    inference(resolve,[$cnf( $equal(join(one,converse(join(one,complement(join(one,one))))),converse(join(one,join(one,complement(join(one,one)))))) )],[refute_0_439,refute_0_446]) ).

cnf(refute_0_448,plain,
    join(join(one,one),converse(complement(join(one,one)))) = join(one,join(one,converse(complement(join(one,one))))),
    inference(subst,[],[refute_0_264:[bind(A,$fot(one)),bind(B,$fot(one)),bind(C,$fot(converse(complement(join(one,one)))))]]) ).

cnf(refute_0_449,plain,
    ( join(join(one,one),converse(complement(join(one,one)))) != join(one,join(one,converse(complement(join(one,one)))))
    | join(one,join(one,converse(complement(join(one,one))))) != converse(join(one,join(one,complement(join(one,one)))))
    | join(join(one,one),converse(complement(join(one,one)))) = converse(join(one,join(one,complement(join(one,one))))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(join(one,one),converse(complement(join(one,one)))))),bind(Y,$fot(join(one,join(one,converse(complement(join(one,one))))))),bind(Z,$fot(converse(join(one,join(one,complement(join(one,one)))))))]]) ).

cnf(refute_0_450,plain,
    ( join(one,join(one,converse(complement(join(one,one))))) != converse(join(one,join(one,complement(join(one,one)))))
    | join(join(one,one),converse(complement(join(one,one)))) = converse(join(one,join(one,complement(join(one,one))))) ),
    inference(resolve,[$cnf( $equal(join(join(one,one),converse(complement(join(one,one)))),join(one,join(one,converse(complement(join(one,one)))))) )],[refute_0_448,refute_0_449]) ).

cnf(refute_0_451,plain,
    join(join(one,one),converse(complement(join(one,one)))) = converse(join(one,join(one,complement(join(one,one))))),
    inference(resolve,[$cnf( $equal(join(one,join(one,converse(complement(join(one,one))))),converse(join(one,join(one,complement(join(one,one)))))) )],[refute_0_447,refute_0_450]) ).

cnf(refute_0_452,plain,
    ( converse(top) != join(join(one,one),converse(complement(join(one,one))))
    | join(join(one,one),converse(complement(join(one,one)))) != converse(join(one,join(one,complement(join(one,one)))))
    | converse(top) = converse(join(one,join(one,complement(join(one,one))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),converse(join(one,join(one,complement(join(one,one)))))) ),[0],$fot(join(join(one,one),converse(complement(join(one,one)))))]]) ).

cnf(refute_0_453,plain,
    ( converse(top) != join(join(one,one),converse(complement(join(one,one))))
    | converse(top) = converse(join(one,join(one,complement(join(one,one))))) ),
    inference(resolve,[$cnf( $equal(join(join(one,one),converse(complement(join(one,one)))),converse(join(one,join(one,complement(join(one,one)))))) )],[refute_0_451,refute_0_452]) ).

cnf(refute_0_454,plain,
    converse(top) = converse(join(one,join(one,complement(join(one,one))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(one,one),converse(complement(join(one,one))))) )],[refute_0_438,refute_0_453]) ).

cnf(refute_0_455,plain,
    ( converse(top) != converse(join(one,join(one,complement(join(one,one)))))
    | converse(join(one,join(one,complement(join(one,one))))) = converse(top) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(converse(top))),bind(Y,$fot(converse(join(one,join(one,complement(join(one,one)))))))]]) ).

cnf(refute_0_456,plain,
    converse(join(one,join(one,complement(join(one,one))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),converse(join(one,join(one,complement(join(one,one)))))) )],[refute_0_454,refute_0_455]) ).

cnf(refute_0_457,plain,
    ( converse(converse(join(one,join(one,complement(join(one,one)))))) != join(one,join(one,complement(join(one,one))))
    | converse(join(one,join(one,complement(join(one,one))))) != converse(top)
    | converse(converse(top)) = join(one,join(one,complement(join(one,one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,join(one,complement(join(one,one)))))),join(one,join(one,complement(join(one,one))))) ),[0,0],$fot(converse(top))]]) ).

cnf(refute_0_458,plain,
    ( converse(converse(join(one,join(one,complement(join(one,one)))))) != join(one,join(one,complement(join(one,one))))
    | converse(converse(top)) = join(one,join(one,complement(join(one,one)))) ),
    inference(resolve,[$cnf( $equal(converse(join(one,join(one,complement(join(one,one))))),converse(top)) )],[refute_0_456,refute_0_457]) ).

cnf(refute_0_459,plain,
    converse(converse(top)) = join(one,join(one,complement(join(one,one)))),
    inference(resolve,[$cnf( $equal(converse(converse(join(one,join(one,complement(join(one,one)))))),join(one,join(one,complement(join(one,one))))) )],[refute_0_427,refute_0_458]) ).

cnf(refute_0_460,plain,
    converse(converse(top)) = top,
    inference(subst,[],[converse_idempotence_8:[bind(A,$fot(top))]]) ).

cnf(refute_0_461,plain,
    ( converse(converse(top)) != join(one,join(one,complement(join(one,one))))
    | converse(converse(top)) != top
    | top = join(one,join(one,complement(join(one,one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(one,join(one,complement(join(one,one))))) ),[0],$fot(top)]]) ).

cnf(refute_0_462,plain,
    ( converse(converse(top)) != join(one,join(one,complement(join(one,one))))
    | top = join(one,join(one,complement(join(one,one)))) ),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_460,refute_0_461]) ).

cnf(refute_0_463,plain,
    top = join(one,join(one,complement(join(one,one)))),
    inference(resolve,[$cnf( $equal(converse(converse(top)),join(one,join(one,complement(join(one,one))))) )],[refute_0_459,refute_0_462]) ).

cnf(refute_0_464,plain,
    ( top != join(one,join(one,complement(join(one,one))))
    | join(one,join(one,complement(join(one,one)))) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(one,complement(join(one,one))))))]]) ).

cnf(refute_0_465,plain,
    join(one,join(one,complement(join(one,one)))) = top,
    inference(resolve,[$cnf( $equal(top,join(one,join(one,complement(join(one,one))))) )],[refute_0_463,refute_0_464]) ).

cnf(refute_0_466,plain,
    ( join(X_50,join(one,join(one,complement(join(one,one))))) != join(join(X_50,one),join(one,complement(join(one,one))))
    | join(one,join(one,complement(join(one,one)))) != top
    | join(X_50,top) = join(join(X_50,one),join(one,complement(join(one,one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(one,join(one,complement(join(one,one))))),join(join(X_50,one),join(one,complement(join(one,one))))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_467,plain,
    ( join(X_50,join(one,join(one,complement(join(one,one))))) != join(join(X_50,one),join(one,complement(join(one,one))))
    | join(X_50,top) = join(join(X_50,one),join(one,complement(join(one,one)))) ),
    inference(resolve,[$cnf( $equal(join(one,join(one,complement(join(one,one)))),top) )],[refute_0_465,refute_0_466]) ).

cnf(refute_0_468,plain,
    join(X_50,top) = join(join(X_50,one),join(one,complement(join(one,one)))),
    inference(resolve,[$cnf( $equal(join(X_50,join(one,join(one,complement(join(one,one))))),join(join(X_50,one),join(one,complement(join(one,one))))) )],[refute_0_426,refute_0_467]) ).

cnf(refute_0_469,plain,
    join(complement(join(one,one)),join(X_50,one)) = join(one,join(complement(join(one,one)),X_50)),
    inference(subst,[],[refute_0_299:[bind(A,$fot(one)),bind(X_50,$fot(complement(join(one,one)))),bind(X_51,$fot(X_50))]]) ).

cnf(refute_0_470,plain,
    join(one,join(complement(join(one,one)),join(X_50,one))) = join(one,join(complement(join(one,one)),join(X_50,one))),
    introduced(tautology,[refl,[$fot(join(one,join(complement(join(one,one)),join(X_50,one))))]]) ).

cnf(refute_0_471,plain,
    ( join(complement(join(one,one)),join(X_50,one)) != join(one,join(complement(join(one,one)),X_50))
    | join(one,join(complement(join(one,one)),join(X_50,one))) != join(one,join(complement(join(one,one)),join(X_50,one)))
    | join(one,join(complement(join(one,one)),join(X_50,one))) = join(one,join(one,join(complement(join(one,one)),X_50))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(join(one,one)),join(X_50,one))),join(one,join(complement(join(one,one)),join(X_50,one)))) ),[1,1],$fot(join(one,join(complement(join(one,one)),X_50)))]]) ).

cnf(refute_0_472,plain,
    ( join(complement(join(one,one)),join(X_50,one)) != join(one,join(complement(join(one,one)),X_50))
    | join(one,join(complement(join(one,one)),join(X_50,one))) = join(one,join(one,join(complement(join(one,one)),X_50))) ),
    inference(resolve,[$cnf( $equal(join(one,join(complement(join(one,one)),join(X_50,one))),join(one,join(complement(join(one,one)),join(X_50,one)))) )],[refute_0_470,refute_0_471]) ).

cnf(refute_0_473,plain,
    join(one,join(complement(join(one,one)),join(X_50,one))) = join(one,join(one,join(complement(join(one,one)),X_50))),
    inference(resolve,[$cnf( $equal(join(complement(join(one,one)),join(X_50,one)),join(one,join(complement(join(one,one)),X_50))) )],[refute_0_469,refute_0_472]) ).

cnf(refute_0_474,plain,
    join(join(X_50,one),join(one,complement(join(one,one)))) = join(one,join(complement(join(one,one)),join(X_50,one))),
    inference(subst,[],[refute_0_297:[bind(A,$fot(join(X_50,one))),bind(X_50,$fot(one)),bind(X_51,$fot(complement(join(one,one))))]]) ).

cnf(refute_0_475,plain,
    ( join(join(X_50,one),join(one,complement(join(one,one)))) != join(one,join(complement(join(one,one)),join(X_50,one)))
    | join(one,join(complement(join(one,one)),join(X_50,one))) != join(one,join(one,join(complement(join(one,one)),X_50)))
    | join(join(X_50,one),join(one,complement(join(one,one)))) = join(one,join(one,join(complement(join(one,one)),X_50))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(join(X_50,one),join(one,complement(join(one,one)))))),bind(Y,$fot(join(one,join(complement(join(one,one)),join(X_50,one))))),bind(Z,$fot(join(one,join(one,join(complement(join(one,one)),X_50)))))]]) ).

cnf(refute_0_476,plain,
    ( join(one,join(complement(join(one,one)),join(X_50,one))) != join(one,join(one,join(complement(join(one,one)),X_50)))
    | join(join(X_50,one),join(one,complement(join(one,one)))) = join(one,join(one,join(complement(join(one,one)),X_50))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,one),join(one,complement(join(one,one)))),join(one,join(complement(join(one,one)),join(X_50,one)))) )],[refute_0_474,refute_0_475]) ).

cnf(refute_0_477,plain,
    join(join(X_50,one),join(one,complement(join(one,one)))) = join(one,join(one,join(complement(join(one,one)),X_50))),
    inference(resolve,[$cnf( $equal(join(one,join(complement(join(one,one)),join(X_50,one))),join(one,join(one,join(complement(join(one,one)),X_50)))) )],[refute_0_473,refute_0_476]) ).

cnf(refute_0_478,plain,
    ( join(X_50,top) != join(join(X_50,one),join(one,complement(join(one,one))))
    | join(join(X_50,one),join(one,complement(join(one,one)))) != join(one,join(one,join(complement(join(one,one)),X_50)))
    | join(X_50,top) = join(one,join(one,join(complement(join(one,one)),X_50))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,top),join(one,join(one,join(complement(join(one,one)),X_50)))) ),[0],$fot(join(join(X_50,one),join(one,complement(join(one,one)))))]]) ).

cnf(refute_0_479,plain,
    ( join(X_50,top) != join(join(X_50,one),join(one,complement(join(one,one))))
    | join(X_50,top) = join(one,join(one,join(complement(join(one,one)),X_50))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,one),join(one,complement(join(one,one)))),join(one,join(one,join(complement(join(one,one)),X_50)))) )],[refute_0_477,refute_0_478]) ).

cnf(refute_0_480,plain,
    join(X_50,top) = join(one,join(one,join(complement(join(one,one)),X_50))),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(join(X_50,one),join(one,complement(join(one,one))))) )],[refute_0_468,refute_0_479]) ).

cnf(refute_0_481,plain,
    join(A,join(join(X_60,complement(join(A,X_60))),C)) = join(join(A,join(X_60,complement(join(A,X_60)))),C),
    inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(join(X_60,complement(join(A,X_60)))))]]) ).

cnf(refute_0_482,plain,
    top = join(A,join(X_60,complement(join(A,X_60)))),
    inference(subst,[],[refute_0_278:[bind(X_50,$fot(A)),bind(X_51,$fot(X_60))]]) ).

cnf(refute_0_483,plain,
    ( top != join(A,join(X_60,complement(join(A,X_60))))
    | join(A,join(X_60,complement(join(A,X_60)))) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(A,join(X_60,complement(join(A,X_60))))))]]) ).

cnf(refute_0_484,plain,
    join(A,join(X_60,complement(join(A,X_60)))) = top,
    inference(resolve,[$cnf( $equal(top,join(A,join(X_60,complement(join(A,X_60))))) )],[refute_0_482,refute_0_483]) ).

cnf(refute_0_485,plain,
    ( join(A,join(X_60,complement(join(A,X_60)))) != top
    | join(A,join(join(X_60,complement(join(A,X_60))),C)) != join(join(A,join(X_60,complement(join(A,X_60)))),C)
    | join(A,join(join(X_60,complement(join(A,X_60))),C)) = join(top,C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_60,complement(join(A,X_60))),C)),join(join(A,join(X_60,complement(join(A,X_60)))),C)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_486,plain,
    ( join(A,join(join(X_60,complement(join(A,X_60))),C)) != join(join(A,join(X_60,complement(join(A,X_60)))),C)
    | join(A,join(join(X_60,complement(join(A,X_60))),C)) = join(top,C) ),
    inference(resolve,[$cnf( $equal(join(A,join(X_60,complement(join(A,X_60)))),top) )],[refute_0_484,refute_0_485]) ).

cnf(refute_0_487,plain,
    join(A,join(join(X_60,complement(join(A,X_60))),C)) = join(top,C),
    inference(resolve,[$cnf( $equal(join(A,join(join(X_60,complement(join(A,X_60))),C)),join(join(A,join(X_60,complement(join(A,X_60)))),C)) )],[refute_0_481,refute_0_486]) ).

cnf(refute_0_488,plain,
    join(join(X_60,complement(join(A,X_60))),C) = join(X_60,join(complement(join(A,X_60)),C)),
    inference(subst,[],[refute_0_264:[bind(A,$fot(X_60)),bind(B,$fot(complement(join(A,X_60))))]]) ).

cnf(refute_0_489,plain,
    join(A,join(join(X_60,complement(join(A,X_60))),C)) = join(A,join(join(X_60,complement(join(A,X_60))),C)),
    introduced(tautology,[refl,[$fot(join(A,join(join(X_60,complement(join(A,X_60))),C)))]]) ).

cnf(refute_0_490,plain,
    ( join(A,join(join(X_60,complement(join(A,X_60))),C)) != join(A,join(join(X_60,complement(join(A,X_60))),C))
    | join(join(X_60,complement(join(A,X_60))),C) != join(X_60,join(complement(join(A,X_60)),C))
    | join(A,join(join(X_60,complement(join(A,X_60))),C)) = join(A,join(X_60,join(complement(join(A,X_60)),C))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_60,complement(join(A,X_60))),C)),join(A,join(join(X_60,complement(join(A,X_60))),C))) ),[1,1],$fot(join(X_60,join(complement(join(A,X_60)),C)))]]) ).

cnf(refute_0_491,plain,
    ( join(join(X_60,complement(join(A,X_60))),C) != join(X_60,join(complement(join(A,X_60)),C))
    | join(A,join(join(X_60,complement(join(A,X_60))),C)) = join(A,join(X_60,join(complement(join(A,X_60)),C))) ),
    inference(resolve,[$cnf( $equal(join(A,join(join(X_60,complement(join(A,X_60))),C)),join(A,join(join(X_60,complement(join(A,X_60))),C))) )],[refute_0_489,refute_0_490]) ).

cnf(refute_0_492,plain,
    join(A,join(join(X_60,complement(join(A,X_60))),C)) = join(A,join(X_60,join(complement(join(A,X_60)),C))),
    inference(resolve,[$cnf( $equal(join(join(X_60,complement(join(A,X_60))),C),join(X_60,join(complement(join(A,X_60)),C))) )],[refute_0_488,refute_0_491]) ).

cnf(refute_0_493,plain,
    ( join(A,join(join(X_60,complement(join(A,X_60))),C)) != join(A,join(X_60,join(complement(join(A,X_60)),C)))
    | join(A,join(join(X_60,complement(join(A,X_60))),C)) != join(top,C)
    | join(A,join(X_60,join(complement(join(A,X_60)),C))) = join(top,C) ),
    introduced(tautology,[equality,[$cnf( $equal(join(A,join(join(X_60,complement(join(A,X_60))),C)),join(top,C)) ),[0],$fot(join(A,join(X_60,join(complement(join(A,X_60)),C))))]]) ).

cnf(refute_0_494,plain,
    ( join(A,join(join(X_60,complement(join(A,X_60))),C)) != join(top,C)
    | join(A,join(X_60,join(complement(join(A,X_60)),C))) = join(top,C) ),
    inference(resolve,[$cnf( $equal(join(A,join(join(X_60,complement(join(A,X_60))),C)),join(A,join(X_60,join(complement(join(A,X_60)),C)))) )],[refute_0_492,refute_0_493]) ).

cnf(refute_0_495,plain,
    join(A,join(X_60,join(complement(join(A,X_60)),C))) = join(top,C),
    inference(resolve,[$cnf( $equal(join(A,join(join(X_60,complement(join(A,X_60))),C)),join(top,C)) )],[refute_0_487,refute_0_494]) ).

cnf(refute_0_496,plain,
    join(one,join(one,join(complement(join(one,one)),X_50))) = join(top,X_50),
    inference(subst,[],[refute_0_495:[bind(A,$fot(one)),bind(C,$fot(X_50)),bind(X_60,$fot(one))]]) ).

cnf(refute_0_497,plain,
    ( join(X_50,top) != join(one,join(one,join(complement(join(one,one)),X_50)))
    | join(one,join(one,join(complement(join(one,one)),X_50))) != join(top,X_50)
    | join(X_50,top) = join(top,X_50) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,top),join(top,X_50)) ),[0],$fot(join(one,join(one,join(complement(join(one,one)),X_50))))]]) ).

cnf(refute_0_498,plain,
    ( join(X_50,top) != join(one,join(one,join(complement(join(one,one)),X_50)))
    | join(X_50,top) = join(top,X_50) ),
    inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(one,one)),X_50))),join(top,X_50)) )],[refute_0_496,refute_0_497]) ).

cnf(refute_0_499,plain,
    join(X_50,top) = join(top,X_50),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(one,join(one,join(complement(join(one,one)),X_50)))) )],[refute_0_480,refute_0_498]) ).

cnf(refute_0_500,plain,
    join(zero,top) = join(top,zero),
    inference(subst,[],[refute_0_499:[bind(X_50,$fot(zero))]]) ).

cnf(refute_0_501,plain,
    ( join(top,zero) != top
    | join(zero,top) != join(top,zero)
    | join(zero,top) = top ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(zero,top))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).

cnf(refute_0_502,plain,
    ( join(top,zero) != top
    | join(zero,top) = top ),
    inference(resolve,[$cnf( $equal(join(zero,top),join(top,zero)) )],[refute_0_500,refute_0_501]) ).

cnf(refute_0_503,plain,
    join(zero,top) = top,
    inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_425,refute_0_502]) ).

cnf(refute_0_504,plain,
    ( join(zero,top) != join(X_71,complement(meet(X_71,X_71)))
    | join(zero,top) != top
    | top = join(X_71,complement(meet(X_71,X_71))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,top),join(X_71,complement(meet(X_71,X_71)))) ),[0],$fot(top)]]) ).

cnf(refute_0_505,plain,
    ( join(zero,top) != join(X_71,complement(meet(X_71,X_71)))
    | top = join(X_71,complement(meet(X_71,X_71))) ),
    inference(resolve,[$cnf( $equal(join(zero,top),top) )],[refute_0_503,refute_0_504]) ).

cnf(refute_0_506,plain,
    top = join(X_71,complement(meet(X_71,X_71))),
    inference(resolve,[$cnf( $equal(join(zero,top),join(X_71,complement(meet(X_71,X_71)))) )],[refute_0_419,refute_0_505]) ).

cnf(refute_0_507,plain,
    top = join(X_33,complement(meet(X_33,X_33))),
    inference(subst,[],[refute_0_506:[bind(X_71,$fot(X_33))]]) ).

cnf(refute_0_508,plain,
    ( top != join(X_33,complement(meet(X_33,X_33)))
    | join(X_33,complement(meet(X_33,X_33))) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(X_33,complement(meet(X_33,X_33)))))]]) ).

cnf(refute_0_509,plain,
    join(X_33,complement(meet(X_33,X_33))) = top,
    inference(resolve,[$cnf( $equal(top,join(X_33,complement(meet(X_33,X_33)))) )],[refute_0_507,refute_0_508]) ).

cnf(refute_0_510,plain,
    ( join(X_33,complement(meet(X_33,X_33))) != top
    | meet(X_33,X_33) != join(meet(meet(X_33,X_33),X_33),complement(join(X_33,complement(meet(X_33,X_33)))))
    | meet(X_33,X_33) = join(meet(meet(X_33,X_33),X_33),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_33,X_33),join(meet(meet(X_33,X_33),X_33),complement(join(X_33,complement(meet(X_33,X_33)))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_511,plain,
    ( meet(X_33,X_33) != join(meet(meet(X_33,X_33),X_33),complement(join(X_33,complement(meet(X_33,X_33)))))
    | meet(X_33,X_33) = join(meet(meet(X_33,X_33),X_33),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(X_33,complement(meet(X_33,X_33))),top) )],[refute_0_509,refute_0_510]) ).

cnf(refute_0_512,plain,
    meet(X_33,X_33) = join(meet(meet(X_33,X_33),X_33),complement(top)),
    inference(resolve,[$cnf( $equal(meet(X_33,X_33),join(meet(meet(X_33,X_33),X_33),complement(join(X_33,complement(meet(X_33,X_33)))))) )],[refute_0_412,refute_0_511]) ).

cnf(refute_0_513,plain,
    ( meet(X_6,X_7) != meet(X_7,X_6)
    | meet(X_7,X_6) = meet(X_6,X_7) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(meet(X_7,X_6)))]]) ).

cnf(refute_0_514,plain,
    meet(X_7,X_6) = meet(X_6,X_7),
    inference(resolve,[$cnf( $equal(meet(X_6,X_7),meet(X_7,X_6)) )],[refute_0_179,refute_0_513]) ).

cnf(refute_0_515,plain,
    meet(meet(X_33,X_33),X_33) = meet(X_33,meet(X_33,X_33)),
    inference(subst,[],[refute_0_514:[bind(X_6,$fot(X_33)),bind(X_7,$fot(meet(X_33,X_33)))]]) ).

cnf(refute_0_516,plain,
    join(zero,meet(meet(X_33,X_33),X_33)) = join(zero,meet(meet(X_33,X_33),X_33)),
    introduced(tautology,[refl,[$fot(join(zero,meet(meet(X_33,X_33),X_33)))]]) ).

cnf(refute_0_517,plain,
    ( join(zero,meet(meet(X_33,X_33),X_33)) != join(zero,meet(meet(X_33,X_33),X_33))
    | meet(meet(X_33,X_33),X_33) != meet(X_33,meet(X_33,X_33))
    | join(zero,meet(meet(X_33,X_33),X_33)) = join(zero,meet(X_33,meet(X_33,X_33))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(X_33,X_33),X_33)),join(zero,meet(meet(X_33,X_33),X_33))) ),[1,1],$fot(meet(X_33,meet(X_33,X_33)))]]) ).

cnf(refute_0_518,plain,
    ( meet(meet(X_33,X_33),X_33) != meet(X_33,meet(X_33,X_33))
    | join(zero,meet(meet(X_33,X_33),X_33)) = join(zero,meet(X_33,meet(X_33,X_33))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_33,X_33),X_33)),join(zero,meet(meet(X_33,X_33),X_33))) )],[refute_0_516,refute_0_517]) ).

cnf(refute_0_519,plain,
    join(zero,meet(meet(X_33,X_33),X_33)) = join(zero,meet(X_33,meet(X_33,X_33))),
    inference(resolve,[$cnf( $equal(meet(meet(X_33,X_33),X_33),meet(X_33,meet(X_33,X_33))) )],[refute_0_515,refute_0_518]) ).

cnf(refute_0_520,plain,
    join(complement(top),meet(meet(X_33,X_33),X_33)) = join(complement(top),meet(meet(X_33,X_33),X_33)),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(X_33,X_33),X_33)))]]) ).

cnf(refute_0_521,plain,
    ( complement(top) != zero
    | join(complement(top),meet(meet(X_33,X_33),X_33)) != join(complement(top),meet(meet(X_33,X_33),X_33))
    | join(complement(top),meet(meet(X_33,X_33),X_33)) = join(zero,meet(meet(X_33,X_33),X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(X_33,X_33),X_33)),join(complement(top),meet(meet(X_33,X_33),X_33))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_522,plain,
    ( complement(top) != zero
    | join(complement(top),meet(meet(X_33,X_33),X_33)) = join(zero,meet(meet(X_33,X_33),X_33)) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_33,X_33),X_33)),join(complement(top),meet(meet(X_33,X_33),X_33))) )],[refute_0_520,refute_0_521]) ).

cnf(refute_0_523,plain,
    join(complement(top),meet(meet(X_33,X_33),X_33)) = join(zero,meet(meet(X_33,X_33),X_33)),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_522]) ).

cnf(refute_0_524,plain,
    ( join(complement(top),meet(meet(X_33,X_33),X_33)) != join(zero,meet(meet(X_33,X_33),X_33))
    | join(zero,meet(meet(X_33,X_33),X_33)) != join(zero,meet(X_33,meet(X_33,X_33)))
    | join(complement(top),meet(meet(X_33,X_33),X_33)) = join(zero,meet(X_33,meet(X_33,X_33))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(complement(top),meet(meet(X_33,X_33),X_33)))),bind(Y,$fot(join(zero,meet(meet(X_33,X_33),X_33)))),bind(Z,$fot(join(zero,meet(X_33,meet(X_33,X_33)))))]]) ).

cnf(refute_0_525,plain,
    ( join(zero,meet(meet(X_33,X_33),X_33)) != join(zero,meet(X_33,meet(X_33,X_33)))
    | join(complement(top),meet(meet(X_33,X_33),X_33)) = join(zero,meet(X_33,meet(X_33,X_33))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_33,X_33),X_33)),join(zero,meet(meet(X_33,X_33),X_33))) )],[refute_0_523,refute_0_524]) ).

cnf(refute_0_526,plain,
    join(complement(top),meet(meet(X_33,X_33),X_33)) = join(zero,meet(X_33,meet(X_33,X_33))),
    inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_33,X_33),X_33)),join(zero,meet(X_33,meet(X_33,X_33)))) )],[refute_0_519,refute_0_525]) ).

cnf(refute_0_527,plain,
    join(meet(meet(X_33,X_33),X_33),complement(top)) = join(complement(top),meet(meet(X_33,X_33),X_33)),
    inference(subst,[],[refute_0_5:[bind(A,$fot(complement(top))),bind(B,$fot(meet(meet(X_33,X_33),X_33)))]]) ).

cnf(refute_0_528,plain,
    ( join(complement(top),meet(meet(X_33,X_33),X_33)) != join(zero,meet(X_33,meet(X_33,X_33)))
    | join(meet(meet(X_33,X_33),X_33),complement(top)) != join(complement(top),meet(meet(X_33,X_33),X_33))
    | join(meet(meet(X_33,X_33),X_33),complement(top)) = join(zero,meet(X_33,meet(X_33,X_33))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(meet(meet(X_33,X_33),X_33),complement(top)))),bind(Y,$fot(join(complement(top),meet(meet(X_33,X_33),X_33)))),bind(Z,$fot(join(zero,meet(X_33,meet(X_33,X_33)))))]]) ).

cnf(refute_0_529,plain,
    ( join(complement(top),meet(meet(X_33,X_33),X_33)) != join(zero,meet(X_33,meet(X_33,X_33)))
    | join(meet(meet(X_33,X_33),X_33),complement(top)) = join(zero,meet(X_33,meet(X_33,X_33))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_33,X_33),X_33),complement(top)),join(complement(top),meet(meet(X_33,X_33),X_33))) )],[refute_0_527,refute_0_528]) ).

cnf(refute_0_530,plain,
    join(meet(meet(X_33,X_33),X_33),complement(top)) = join(zero,meet(X_33,meet(X_33,X_33))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_33,X_33),X_33)),join(zero,meet(X_33,meet(X_33,X_33)))) )],[refute_0_526,refute_0_529]) ).

cnf(refute_0_531,plain,
    ( join(meet(meet(X_33,X_33),X_33),complement(top)) != join(zero,meet(X_33,meet(X_33,X_33)))
    | meet(X_33,X_33) != join(meet(meet(X_33,X_33),X_33),complement(top))
    | meet(X_33,X_33) = join(zero,meet(X_33,meet(X_33,X_33))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_33,X_33),join(meet(meet(X_33,X_33),X_33),complement(top))) ),[1],$fot(join(zero,meet(X_33,meet(X_33,X_33))))]]) ).

cnf(refute_0_532,plain,
    ( meet(X_33,X_33) != join(meet(meet(X_33,X_33),X_33),complement(top))
    | meet(X_33,X_33) = join(zero,meet(X_33,meet(X_33,X_33))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_33,X_33),X_33),complement(top)),join(zero,meet(X_33,meet(X_33,X_33)))) )],[refute_0_530,refute_0_531]) ).

cnf(refute_0_533,plain,
    meet(X_33,X_33) = join(zero,meet(X_33,meet(X_33,X_33))),
    inference(resolve,[$cnf( $equal(meet(X_33,X_33),join(meet(meet(X_33,X_33),X_33),complement(top))) )],[refute_0_512,refute_0_532]) ).

cnf(refute_0_534,plain,
    ( meet(X_33,X_33) != join(zero,meet(X_33,meet(X_33,X_33)))
    | join(zero,meet(X_33,meet(X_33,X_33))) = meet(X_33,X_33) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(meet(X_33,X_33))),bind(Y,$fot(join(zero,meet(X_33,meet(X_33,X_33)))))]]) ).

cnf(refute_0_535,plain,
    join(zero,meet(X_33,meet(X_33,X_33))) = meet(X_33,X_33),
    inference(resolve,[$cnf( $equal(meet(X_33,X_33),join(zero,meet(X_33,meet(X_33,X_33)))) )],[refute_0_533,refute_0_534]) ).

cnf(refute_0_536,plain,
    join(zero,meet(zero,meet(zero,zero))) = meet(zero,zero),
    inference(subst,[],[refute_0_535:[bind(X_33,$fot(zero))]]) ).

cnf(refute_0_537,plain,
    join(converse(meet(zero,zero)),meet(zero,zero)) = converse(meet(zero,zero)),
    inference(subst,[],[refute_0_369:[bind(X_32,$fot(converse(meet(zero,zero))))]]) ).

cnf(refute_0_538,plain,
    join(converse(meet(zero,zero)),meet(zero,zero)) = meet(zero,zero),
    inference(subst,[],[refute_0_407:[bind(B,$fot(meet(zero,zero)))]]) ).

cnf(refute_0_539,plain,
    ( join(converse(meet(zero,zero)),meet(zero,zero)) != converse(meet(zero,zero))
    | join(converse(meet(zero,zero)),meet(zero,zero)) != meet(zero,zero)
    | meet(zero,zero) = converse(meet(zero,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(zero,zero)),meet(zero,zero)),converse(meet(zero,zero))) ),[0],$fot(meet(zero,zero))]]) ).

cnf(refute_0_540,plain,
    ( join(converse(meet(zero,zero)),meet(zero,zero)) != converse(meet(zero,zero))
    | meet(zero,zero) = converse(meet(zero,zero)) ),
    inference(resolve,[$cnf( $equal(join(converse(meet(zero,zero)),meet(zero,zero)),meet(zero,zero)) )],[refute_0_538,refute_0_539]) ).

cnf(refute_0_541,plain,
    meet(zero,zero) = converse(meet(zero,zero)),
    inference(resolve,[$cnf( $equal(join(converse(meet(zero,zero)),meet(zero,zero)),converse(meet(zero,zero))) )],[refute_0_537,refute_0_540]) ).

cnf(refute_0_542,plain,
    ( meet(zero,zero) != converse(meet(zero,zero))
    | converse(meet(zero,zero)) = meet(zero,zero) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(meet(zero,zero))),bind(Y,$fot(converse(meet(zero,zero))))]]) ).

cnf(refute_0_543,plain,
    converse(meet(zero,zero)) = meet(zero,zero),
    inference(resolve,[$cnf( $equal(meet(zero,zero),converse(meet(zero,zero))) )],[refute_0_541,refute_0_542]) ).

cnf(refute_0_544,plain,
    meet(zero,converse(meet(zero,zero))) = meet(zero,converse(meet(zero,zero))),
    introduced(tautology,[refl,[$fot(meet(zero,converse(meet(zero,zero))))]]) ).

cnf(refute_0_545,plain,
    ( converse(meet(zero,zero)) != meet(zero,zero)
    | meet(zero,converse(meet(zero,zero))) != meet(zero,converse(meet(zero,zero)))
    | meet(zero,converse(meet(zero,zero))) = meet(zero,meet(zero,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,converse(meet(zero,zero))),meet(zero,converse(meet(zero,zero)))) ),[1,1],$fot(meet(zero,zero))]]) ).

cnf(refute_0_546,plain,
    ( converse(meet(zero,zero)) != meet(zero,zero)
    | meet(zero,converse(meet(zero,zero))) = meet(zero,meet(zero,zero)) ),
    inference(resolve,[$cnf( $equal(meet(zero,converse(meet(zero,zero))),meet(zero,converse(meet(zero,zero)))) )],[refute_0_544,refute_0_545]) ).

cnf(refute_0_547,plain,
    meet(zero,converse(meet(zero,zero))) = meet(zero,meet(zero,zero)),
    inference(resolve,[$cnf( $equal(converse(meet(zero,zero)),meet(zero,zero)) )],[refute_0_543,refute_0_546]) ).

cnf(refute_0_548,plain,
    meet(converse(meet(zero,zero)),zero) = meet(zero,converse(meet(zero,zero))),
    inference(subst,[],[refute_0_514:[bind(X_6,$fot(zero)),bind(X_7,$fot(converse(meet(zero,zero))))]]) ).

cnf(refute_0_549,plain,
    ( meet(converse(meet(zero,zero)),zero) != meet(zero,converse(meet(zero,zero)))
    | meet(zero,converse(meet(zero,zero))) != meet(zero,meet(zero,zero))
    | meet(converse(meet(zero,zero)),zero) = meet(zero,meet(zero,zero)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(meet(converse(meet(zero,zero)),zero))),bind(Y,$fot(meet(zero,converse(meet(zero,zero))))),bind(Z,$fot(meet(zero,meet(zero,zero))))]]) ).

cnf(refute_0_550,plain,
    ( meet(zero,converse(meet(zero,zero))) != meet(zero,meet(zero,zero))
    | meet(converse(meet(zero,zero)),zero) = meet(zero,meet(zero,zero)) ),
    inference(resolve,[$cnf( $equal(meet(converse(meet(zero,zero)),zero),meet(zero,converse(meet(zero,zero)))) )],[refute_0_548,refute_0_549]) ).

cnf(refute_0_551,plain,
    meet(converse(meet(zero,zero)),zero) = meet(zero,meet(zero,zero)),
    inference(resolve,[$cnf( $equal(meet(zero,converse(meet(zero,zero))),meet(zero,meet(zero,zero))) )],[refute_0_547,refute_0_550]) ).

cnf(refute_0_552,plain,
    join(zero,meet(converse(meet(zero,zero)),zero)) = join(zero,meet(converse(meet(zero,zero)),zero)),
    introduced(tautology,[refl,[$fot(join(zero,meet(converse(meet(zero,zero)),zero)))]]) ).

cnf(refute_0_553,plain,
    ( join(zero,meet(converse(meet(zero,zero)),zero)) != join(zero,meet(converse(meet(zero,zero)),zero))
    | meet(converse(meet(zero,zero)),zero) != meet(zero,meet(zero,zero))
    | join(zero,meet(converse(meet(zero,zero)),zero)) = join(zero,meet(zero,meet(zero,zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(meet(zero,zero)),zero)),join(zero,meet(converse(meet(zero,zero)),zero))) ),[1,1],$fot(meet(zero,meet(zero,zero)))]]) ).

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

cnf(refute_0_555,plain,
    join(zero,meet(converse(meet(zero,zero)),zero)) = join(zero,meet(zero,meet(zero,zero))),
    inference(resolve,[$cnf( $equal(meet(converse(meet(zero,zero)),zero),meet(zero,meet(zero,zero))) )],[refute_0_551,refute_0_554]) ).

cnf(refute_0_556,plain,
    join(complement(top),meet(converse(meet(zero,zero)),zero)) = join(complement(top),meet(converse(meet(zero,zero)),zero)),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(meet(zero,zero)),zero)))]]) ).

cnf(refute_0_557,plain,
    ( complement(top) != zero
    | join(complement(top),meet(converse(meet(zero,zero)),zero)) != join(complement(top),meet(converse(meet(zero,zero)),zero))
    | join(complement(top),meet(converse(meet(zero,zero)),zero)) = join(zero,meet(converse(meet(zero,zero)),zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(meet(zero,zero)),zero)),join(complement(top),meet(converse(meet(zero,zero)),zero))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_558,plain,
    ( complement(top) != zero
    | join(complement(top),meet(converse(meet(zero,zero)),zero)) = join(zero,meet(converse(meet(zero,zero)),zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(meet(zero,zero)),zero)),join(complement(top),meet(converse(meet(zero,zero)),zero))) )],[refute_0_556,refute_0_557]) ).

cnf(refute_0_559,plain,
    join(complement(top),meet(converse(meet(zero,zero)),zero)) = join(zero,meet(converse(meet(zero,zero)),zero)),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_558]) ).

cnf(refute_0_560,plain,
    ( join(complement(top),meet(converse(meet(zero,zero)),zero)) != join(zero,meet(converse(meet(zero,zero)),zero))
    | join(zero,meet(converse(meet(zero,zero)),zero)) != join(zero,meet(zero,meet(zero,zero)))
    | join(complement(top),meet(converse(meet(zero,zero)),zero)) = join(zero,meet(zero,meet(zero,zero))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(complement(top),meet(converse(meet(zero,zero)),zero)))),bind(Y,$fot(join(zero,meet(converse(meet(zero,zero)),zero)))),bind(Z,$fot(join(zero,meet(zero,meet(zero,zero)))))]]) ).

cnf(refute_0_561,plain,
    ( join(zero,meet(converse(meet(zero,zero)),zero)) != join(zero,meet(zero,meet(zero,zero)))
    | join(complement(top),meet(converse(meet(zero,zero)),zero)) = join(zero,meet(zero,meet(zero,zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(meet(zero,zero)),zero)),join(zero,meet(converse(meet(zero,zero)),zero))) )],[refute_0_559,refute_0_560]) ).

cnf(refute_0_562,plain,
    join(complement(top),meet(converse(meet(zero,zero)),zero)) = join(zero,meet(zero,meet(zero,zero))),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(meet(zero,zero)),zero)),join(zero,meet(zero,meet(zero,zero)))) )],[refute_0_555,refute_0_561]) ).

cnf(refute_0_563,plain,
    ( join(complement(top),meet(converse(meet(zero,zero)),zero)) != join(zero,meet(zero,meet(zero,zero)))
    | join(zero,meet(zero,meet(zero,zero))) != meet(zero,zero)
    | join(complement(top),meet(converse(meet(zero,zero)),zero)) = meet(zero,zero) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(complement(top),meet(converse(meet(zero,zero)),zero)))),bind(Y,$fot(join(zero,meet(zero,meet(zero,zero))))),bind(Z,$fot(meet(zero,zero)))]]) ).

cnf(refute_0_564,plain,
    ( join(zero,meet(zero,meet(zero,zero))) != meet(zero,zero)
    | join(complement(top),meet(converse(meet(zero,zero)),zero)) = meet(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(meet(zero,zero)),zero)),join(zero,meet(zero,meet(zero,zero)))) )],[refute_0_562,refute_0_563]) ).

cnf(refute_0_565,plain,
    join(complement(top),meet(converse(meet(zero,zero)),zero)) = meet(zero,zero),
    inference(resolve,[$cnf( $equal(join(zero,meet(zero,meet(zero,zero))),meet(zero,zero)) )],[refute_0_536,refute_0_564]) ).

cnf(refute_0_566,plain,
    join(meet(converse(meet(zero,zero)),zero),complement(top)) = join(complement(top),meet(converse(meet(zero,zero)),zero)),
    inference(subst,[],[refute_0_5:[bind(A,$fot(complement(top))),bind(B,$fot(meet(converse(meet(zero,zero)),zero)))]]) ).

cnf(refute_0_567,plain,
    ( join(complement(top),meet(converse(meet(zero,zero)),zero)) != meet(zero,zero)
    | join(meet(converse(meet(zero,zero)),zero),complement(top)) != join(complement(top),meet(converse(meet(zero,zero)),zero))
    | join(meet(converse(meet(zero,zero)),zero),complement(top)) = meet(zero,zero) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(meet(converse(meet(zero,zero)),zero),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(meet(zero,zero)),zero)))),bind(Z,$fot(meet(zero,zero)))]]) ).

cnf(refute_0_568,plain,
    ( join(complement(top),meet(converse(meet(zero,zero)),zero)) != meet(zero,zero)
    | join(meet(converse(meet(zero,zero)),zero),complement(top)) = meet(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(meet(zero,zero)),zero),complement(top)),join(complement(top),meet(converse(meet(zero,zero)),zero))) )],[refute_0_566,refute_0_567]) ).

cnf(refute_0_569,plain,
    join(meet(converse(meet(zero,zero)),zero),complement(top)) = meet(zero,zero),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(meet(zero,zero)),zero)),meet(zero,zero)) )],[refute_0_565,refute_0_568]) ).

cnf(refute_0_570,plain,
    ( join(meet(converse(meet(zero,zero)),zero),complement(top)) != meet(zero,zero)
    | zero != join(meet(converse(meet(zero,zero)),zero),complement(top))
    | zero = meet(zero,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(converse(meet(zero,zero)),zero),complement(top))) ),[1],$fot(meet(zero,zero))]]) ).

cnf(refute_0_571,plain,
    ( zero != join(meet(converse(meet(zero,zero)),zero),complement(top))
    | zero = meet(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(meet(zero,zero)),zero),complement(top)),meet(zero,zero)) )],[refute_0_569,refute_0_570]) ).

cnf(refute_0_572,plain,
    zero = meet(zero,zero),
    inference(resolve,[$cnf( $equal(zero,join(meet(converse(meet(zero,zero)),zero),complement(top))) )],[refute_0_411,refute_0_571]) ).

cnf(refute_0_573,plain,
    ( zero != meet(zero,zero)
    | meet(zero,zero) = zero ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,zero)))]]) ).

cnf(refute_0_574,plain,
    meet(zero,zero) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(zero,zero)) )],[refute_0_572,refute_0_573]) ).

cnf(refute_0_575,plain,
    join(meet(zero,zero),B) = join(meet(zero,zero),B),
    introduced(tautology,[refl,[$fot(join(meet(zero,zero),B))]]) ).

cnf(refute_0_576,plain,
    ( join(meet(zero,zero),B) != join(meet(zero,zero),B)
    | meet(zero,zero) != zero
    | join(meet(zero,zero),B) = join(zero,B) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,zero),B),join(meet(zero,zero),B)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_577,plain,
    ( meet(zero,zero) != zero
    | join(meet(zero,zero),B) = join(zero,B) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,zero),B),join(meet(zero,zero),B)) )],[refute_0_575,refute_0_576]) ).

cnf(refute_0_578,plain,
    join(meet(zero,zero),B) = join(zero,B),
    inference(resolve,[$cnf( $equal(meet(zero,zero),zero) )],[refute_0_574,refute_0_577]) ).

cnf(refute_0_579,plain,
    ( join(meet(zero,zero),B) != B
    | join(meet(zero,zero),B) != join(zero,B)
    | join(zero,B) = B ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,zero),B),B) ),[0],$fot(join(zero,B))]]) ).

cnf(refute_0_580,plain,
    ( join(meet(zero,zero),B) != B
    | join(zero,B) = B ),
    inference(resolve,[$cnf( $equal(join(meet(zero,zero),B),join(zero,B)) )],[refute_0_578,refute_0_579]) ).

cnf(refute_0_581,plain,
    join(zero,B) = B,
    inference(resolve,[$cnf( $equal(join(meet(zero,zero),B),B) )],[refute_0_373,refute_0_580]) ).

cnf(refute_0_582,plain,
    join(zero,complement(X_50)) = complement(X_50),
    inference(subst,[],[refute_0_581:[bind(B,$fot(complement(X_50)))]]) ).

cnf(refute_0_583,plain,
    zero = join(meet(zero,B),complement(join(complement(zero),B))),
    inference(subst,[],[refute_0_126:[bind(A,$fot(zero))]]) ).

cnf(refute_0_584,plain,
    ( complement(zero) != top
    | zero != join(meet(zero,B),complement(join(complement(zero),B)))
    | zero = join(meet(zero,B),complement(join(top,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,B),complement(join(complement(zero),B)))) ),[1,1,0,0],$fot(top)]]) ).

cnf(refute_0_585,plain,
    ( zero != join(meet(zero,B),complement(join(complement(zero),B)))
    | zero = join(meet(zero,B),complement(join(top,B))) ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_253,refute_0_584]) ).

cnf(refute_0_586,plain,
    zero = join(meet(zero,B),complement(join(top,B))),
    inference(resolve,[$cnf( $equal(zero,join(meet(zero,B),complement(join(complement(zero),B)))) )],[refute_0_583,refute_0_585]) ).

cnf(refute_0_587,plain,
    join(zero,complement(join(top,B))) = complement(join(top,B)),
    inference(subst,[],[refute_0_581:[bind(B,$fot(complement(join(top,B))))]]) ).

cnf(refute_0_588,plain,
    meet(zero,B) = complement(join(complement(zero),complement(B))),
    inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(zero))]]) ).

cnf(refute_0_589,plain,
    ( complement(zero) != top
    | meet(zero,B) != complement(join(complement(zero),complement(B)))
    | meet(zero,B) = complement(join(top,complement(B))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,B),complement(join(complement(zero),complement(B)))) ),[1,0,0],$fot(top)]]) ).

cnf(refute_0_590,plain,
    ( meet(zero,B) != complement(join(complement(zero),complement(B)))
    | meet(zero,B) = complement(join(top,complement(B))) ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_253,refute_0_589]) ).

cnf(refute_0_591,plain,
    meet(zero,B) = complement(join(top,complement(B))),
    inference(resolve,[$cnf( $equal(meet(zero,B),complement(join(complement(zero),complement(B)))) )],[refute_0_588,refute_0_590]) ).

cnf(refute_0_592,plain,
    top = join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
    inference(subst,[],[def_top_12:[bind(A,$fot(join(complement(X_6),complement(X_7))))]]) ).

cnf(refute_0_593,plain,
    ( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
    | top != join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
    | top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).

cnf(refute_0_594,plain,
    ( top != join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
    | top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_142,refute_0_593]) ).

cnf(refute_0_595,plain,
    top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
    inference(resolve,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_592,refute_0_594]) ).

cnf(refute_0_596,plain,
    join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))),
    inference(subst,[],[refute_0_264:[bind(A,$fot(complement(X_6))),bind(B,$fot(complement(X_7))),bind(C,$fot(meet(X_6,X_7)))]]) ).

cnf(refute_0_597,plain,
    ( join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != join(complement(X_6),join(complement(X_7),meet(X_6,X_7)))
    | top != join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
    | top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(join(complement(X_6),join(complement(X_7),meet(X_6,X_7))))]]) ).

cnf(refute_0_598,plain,
    ( top != join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
    | top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))) ),
    inference(resolve,[$cnf( $equal(join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),join(complement(X_6),join(complement(X_7),meet(X_6,X_7)))) )],[refute_0_596,refute_0_597]) ).

cnf(refute_0_599,plain,
    top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))),
    inference(resolve,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_595,refute_0_598]) ).

cnf(refute_0_600,plain,
    top = join(complement(X_7),join(complement(X_7),meet(X_7,X_7))),
    inference(subst,[],[refute_0_599:[bind(X_6,$fot(X_7))]]) ).

cnf(refute_0_601,plain,
    join(zero,meet(X_32,X_32)) = meet(X_32,X_32),
    inference(subst,[],[refute_0_581:[bind(B,$fot(meet(X_32,X_32)))]]) ).

cnf(refute_0_602,plain,
    ( X_32 != join(zero,meet(X_32,X_32))
    | join(zero,meet(X_32,X_32)) != meet(X_32,X_32)
    | X_32 = meet(X_32,X_32) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_32,meet(X_32,X_32)) ),[0],$fot(join(zero,meet(X_32,X_32)))]]) ).

cnf(refute_0_603,plain,
    ( X_32 != join(zero,meet(X_32,X_32))
    | X_32 = meet(X_32,X_32) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_32,X_32)),meet(X_32,X_32)) )],[refute_0_601,refute_0_602]) ).

cnf(refute_0_604,plain,
    X_32 = meet(X_32,X_32),
    inference(resolve,[$cnf( $equal(X_32,join(zero,meet(X_32,X_32))) )],[refute_0_349,refute_0_603]) ).

cnf(refute_0_605,plain,
    X_7 = meet(X_7,X_7),
    inference(subst,[],[refute_0_604:[bind(X_32,$fot(X_7))]]) ).

cnf(refute_0_606,plain,
    ( X_7 != meet(X_7,X_7)
    | meet(X_7,X_7) = X_7 ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(X_7)),bind(Y,$fot(meet(X_7,X_7)))]]) ).

cnf(refute_0_607,plain,
    meet(X_7,X_7) = X_7,
    inference(resolve,[$cnf( $equal(X_7,meet(X_7,X_7)) )],[refute_0_605,refute_0_606]) ).

cnf(refute_0_608,plain,
    ( meet(X_7,X_7) != X_7
    | top != join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))
    | top = join(complement(X_7),join(complement(X_7),X_7)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))) ),[1,1,1],$fot(X_7)]]) ).

cnf(refute_0_609,plain,
    ( top != join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))
    | top = join(complement(X_7),join(complement(X_7),X_7)) ),
    inference(resolve,[$cnf( $equal(meet(X_7,X_7),X_7) )],[refute_0_607,refute_0_608]) ).

cnf(refute_0_610,plain,
    top = join(complement(X_7),join(complement(X_7),X_7)),
    inference(resolve,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))) )],[refute_0_600,refute_0_609]) ).

cnf(refute_0_611,plain,
    join(X_7,join(complement(X_7),complement(X_7))) = join(top,complement(X_7)),
    inference(subst,[],[refute_0_331:[bind(X_61,$fot(X_7)),bind(X_62,$fot(complement(X_7)))]]) ).

cnf(refute_0_612,plain,
    join(X_51,X_50) = join(X_50,X_51),
    inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_51)),bind(B,$fot(X_50))]]) ).

cnf(refute_0_613,plain,
    ( join(X_51,X_50) != join(X_50,X_51)
    | join(X_50,X_51) = join(X_51,X_50) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(X_51,X_50))),bind(Y,$fot(join(X_50,X_51)))]]) ).

cnf(refute_0_614,plain,
    join(X_50,X_51) = join(X_51,X_50),
    inference(resolve,[$cnf( $equal(join(X_51,X_50),join(X_50,X_51)) )],[refute_0_612,refute_0_613]) ).

cnf(refute_0_615,plain,
    ( join(X_50,X_51) != join(X_51,X_50)
    | join(X_50,join(X_51,X_52)) != join(join(X_50,X_51),X_52)
    | join(X_50,join(X_51,X_52)) = join(join(X_51,X_50),X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(join(X_50,X_51),X_52)) ),[1,0],$fot(join(X_51,X_50))]]) ).

cnf(refute_0_616,plain,
    ( join(X_50,join(X_51,X_52)) != join(join(X_50,X_51),X_52)
    | join(X_50,join(X_51,X_52)) = join(join(X_51,X_50),X_52) ),
    inference(resolve,[$cnf( $equal(join(X_50,X_51),join(X_51,X_50)) )],[refute_0_614,refute_0_615]) ).

cnf(refute_0_617,plain,
    join(X_50,join(X_51,X_52)) = join(join(X_51,X_50),X_52),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(join(X_50,X_51),X_52)) )],[refute_0_305,refute_0_616]) ).

cnf(refute_0_618,plain,
    join(join(X_51,X_50),X_52) = join(X_51,join(X_50,X_52)),
    inference(subst,[],[refute_0_264:[bind(A,$fot(X_51)),bind(B,$fot(X_50)),bind(C,$fot(X_52))]]) ).

cnf(refute_0_619,plain,
    ( join(X_50,join(X_51,X_52)) != join(join(X_51,X_50),X_52)
    | join(join(X_51,X_50),X_52) != join(X_51,join(X_50,X_52))
    | join(X_50,join(X_51,X_52)) = join(X_51,join(X_50,X_52)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,join(X_51,X_52)),join(X_51,join(X_50,X_52))) ),[0],$fot(join(join(X_51,X_50),X_52))]]) ).

cnf(refute_0_620,plain,
    ( join(X_50,join(X_51,X_52)) != join(join(X_51,X_50),X_52)
    | join(X_50,join(X_51,X_52)) = join(X_51,join(X_50,X_52)) ),
    inference(resolve,[$cnf( $equal(join(join(X_51,X_50),X_52),join(X_51,join(X_50,X_52))) )],[refute_0_618,refute_0_619]) ).

cnf(refute_0_621,plain,
    join(X_50,join(X_51,X_52)) = join(X_51,join(X_50,X_52)),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(join(X_51,X_50),X_52)) )],[refute_0_617,refute_0_620]) ).

cnf(refute_0_622,plain,
    ( join(X_50,join(X_51,X_52)) != join(X_51,join(X_50,X_52))
    | join(X_51,join(X_50,X_52)) = join(X_50,join(X_51,X_52)) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(join(X_50,join(X_51,X_52)))),bind(Y,$fot(join(X_51,join(X_50,X_52))))]]) ).

cnf(refute_0_623,plain,
    join(X_51,join(X_50,X_52)) = join(X_50,join(X_51,X_52)),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(X_51,join(X_50,X_52))) )],[refute_0_621,refute_0_622]) ).

cnf(refute_0_624,plain,
    join(complement(X_7),join(X_7,complement(X_7))) = join(X_7,join(complement(X_7),complement(X_7))),
    inference(subst,[],[refute_0_623:[bind(X_50,$fot(X_7)),bind(X_51,$fot(complement(X_7))),bind(X_52,$fot(complement(X_7)))]]) ).

cnf(refute_0_625,plain,
    ( join(X_7,join(complement(X_7),complement(X_7))) != join(top,complement(X_7))
    | join(complement(X_7),join(X_7,complement(X_7))) != join(X_7,join(complement(X_7),complement(X_7)))
    | join(complement(X_7),join(X_7,complement(X_7))) = join(top,complement(X_7)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(complement(X_7),join(X_7,complement(X_7))))),bind(Y,$fot(join(X_7,join(complement(X_7),complement(X_7))))),bind(Z,$fot(join(top,complement(X_7))))]]) ).

cnf(refute_0_626,plain,
    ( join(X_7,join(complement(X_7),complement(X_7))) != join(top,complement(X_7))
    | join(complement(X_7),join(X_7,complement(X_7))) = join(top,complement(X_7)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_7),join(X_7,complement(X_7))),join(X_7,join(complement(X_7),complement(X_7)))) )],[refute_0_624,refute_0_625]) ).

cnf(refute_0_627,plain,
    join(complement(X_7),join(X_7,complement(X_7))) = join(top,complement(X_7)),
    inference(resolve,[$cnf( $equal(join(X_7,join(complement(X_7),complement(X_7))),join(top,complement(X_7))) )],[refute_0_611,refute_0_626]) ).

cnf(refute_0_628,plain,
    join(complement(X_7),join(complement(X_7),X_7)) = join(complement(X_7),join(X_7,complement(X_7))),
    inference(subst,[],[refute_0_317:[bind(X_50,$fot(complement(X_7))),bind(X_51,$fot(complement(X_7))),bind(X_52,$fot(X_7))]]) ).

cnf(refute_0_629,plain,
    ( join(complement(X_7),join(X_7,complement(X_7))) != join(top,complement(X_7))
    | join(complement(X_7),join(complement(X_7),X_7)) != join(complement(X_7),join(X_7,complement(X_7)))
    | join(complement(X_7),join(complement(X_7),X_7)) = join(top,complement(X_7)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(complement(X_7),join(complement(X_7),X_7)))),bind(Y,$fot(join(complement(X_7),join(X_7,complement(X_7))))),bind(Z,$fot(join(top,complement(X_7))))]]) ).

cnf(refute_0_630,plain,
    ( join(complement(X_7),join(X_7,complement(X_7))) != join(top,complement(X_7))
    | join(complement(X_7),join(complement(X_7),X_7)) = join(top,complement(X_7)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_7),join(complement(X_7),X_7)),join(complement(X_7),join(X_7,complement(X_7)))) )],[refute_0_628,refute_0_629]) ).

cnf(refute_0_631,plain,
    join(complement(X_7),join(complement(X_7),X_7)) = join(top,complement(X_7)),
    inference(resolve,[$cnf( $equal(join(complement(X_7),join(X_7,complement(X_7))),join(top,complement(X_7))) )],[refute_0_627,refute_0_630]) ).

cnf(refute_0_632,plain,
    ( join(complement(X_7),join(complement(X_7),X_7)) != join(top,complement(X_7))
    | top != join(complement(X_7),join(complement(X_7),X_7))
    | top = join(top,complement(X_7)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),X_7))) ),[1],$fot(join(top,complement(X_7)))]]) ).

cnf(refute_0_633,plain,
    ( top != join(complement(X_7),join(complement(X_7),X_7))
    | top = join(top,complement(X_7)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_7),join(complement(X_7),X_7)),join(top,complement(X_7))) )],[refute_0_631,refute_0_632]) ).

cnf(refute_0_634,plain,
    top = join(top,complement(X_7)),
    inference(resolve,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),X_7))) )],[refute_0_610,refute_0_633]) ).

cnf(refute_0_635,plain,
    ( top != join(top,complement(X_7))
    | join(top,complement(X_7)) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_7))))]]) ).

cnf(refute_0_636,plain,
    join(top,complement(X_7)) = top,
    inference(resolve,[$cnf( $equal(top,join(top,complement(X_7))) )],[refute_0_634,refute_0_635]) ).

cnf(refute_0_637,plain,
    join(top,complement(B)) = top,
    inference(subst,[],[refute_0_636:[bind(X_7,$fot(B))]]) ).

cnf(refute_0_638,plain,
    complement(join(top,complement(B))) = complement(join(top,complement(B))),
    introduced(tautology,[refl,[$fot(complement(join(top,complement(B))))]]) ).

cnf(refute_0_639,plain,
    ( complement(join(top,complement(B))) != complement(join(top,complement(B)))
    | join(top,complement(B)) != top
    | complement(join(top,complement(B))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(B))),complement(join(top,complement(B)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_640,plain,
    ( join(top,complement(B)) != top
    | complement(join(top,complement(B))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(B))),complement(join(top,complement(B)))) )],[refute_0_638,refute_0_639]) ).

cnf(refute_0_641,plain,
    complement(join(top,complement(B))) = complement(top),
    inference(resolve,[$cnf( $equal(join(top,complement(B)),top) )],[refute_0_637,refute_0_640]) ).

cnf(refute_0_642,plain,
    ( complement(join(top,complement(B))) != complement(top)
    | complement(top) != zero
    | complement(join(top,complement(B))) = zero ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(complement(join(top,complement(B))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_643,plain,
    ( complement(top) != zero
    | complement(join(top,complement(B))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(B))),complement(top)) )],[refute_0_641,refute_0_642]) ).

cnf(refute_0_644,plain,
    complement(join(top,complement(B))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_643]) ).

cnf(refute_0_645,plain,
    ( complement(join(top,complement(B))) != zero
    | meet(zero,B) != complement(join(top,complement(B)))
    | meet(zero,B) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,B),complement(join(top,complement(B)))) ),[1],$fot(zero)]]) ).

cnf(refute_0_646,plain,
    ( meet(zero,B) != complement(join(top,complement(B)))
    | meet(zero,B) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(B))),zero) )],[refute_0_644,refute_0_645]) ).

cnf(refute_0_647,plain,
    meet(zero,B) = zero,
    inference(resolve,[$cnf( $equal(meet(zero,B),complement(join(top,complement(B)))) )],[refute_0_591,refute_0_646]) ).

cnf(refute_0_648,plain,
    join(meet(zero,B),complement(join(top,B))) = join(meet(zero,B),complement(join(top,B))),
    introduced(tautology,[refl,[$fot(join(meet(zero,B),complement(join(top,B))))]]) ).

cnf(refute_0_649,plain,
    ( join(meet(zero,B),complement(join(top,B))) != join(meet(zero,B),complement(join(top,B)))
    | meet(zero,B) != zero
    | join(meet(zero,B),complement(join(top,B))) = join(zero,complement(join(top,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,B),complement(join(top,B))),join(meet(zero,B),complement(join(top,B)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_650,plain,
    ( meet(zero,B) != zero
    | join(meet(zero,B),complement(join(top,B))) = join(zero,complement(join(top,B))) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,B),complement(join(top,B))),join(meet(zero,B),complement(join(top,B)))) )],[refute_0_648,refute_0_649]) ).

cnf(refute_0_651,plain,
    join(meet(zero,B),complement(join(top,B))) = join(zero,complement(join(top,B))),
    inference(resolve,[$cnf( $equal(meet(zero,B),zero) )],[refute_0_647,refute_0_650]) ).

cnf(refute_0_652,plain,
    ( join(meet(zero,B),complement(join(top,B))) != join(zero,complement(join(top,B)))
    | join(zero,complement(join(top,B))) != complement(join(top,B))
    | join(meet(zero,B),complement(join(top,B))) = complement(join(top,B)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(meet(zero,B),complement(join(top,B))))),bind(Y,$fot(join(zero,complement(join(top,B))))),bind(Z,$fot(complement(join(top,B))))]]) ).

cnf(refute_0_653,plain,
    ( join(zero,complement(join(top,B))) != complement(join(top,B))
    | join(meet(zero,B),complement(join(top,B))) = complement(join(top,B)) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,B),complement(join(top,B))),join(zero,complement(join(top,B)))) )],[refute_0_651,refute_0_652]) ).

cnf(refute_0_654,plain,
    join(meet(zero,B),complement(join(top,B))) = complement(join(top,B)),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(top,B))),complement(join(top,B))) )],[refute_0_587,refute_0_653]) ).

cnf(refute_0_655,plain,
    ( join(meet(zero,B),complement(join(top,B))) != complement(join(top,B))
    | zero != join(meet(zero,B),complement(join(top,B)))
    | zero = complement(join(top,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,B),complement(join(top,B)))) ),[1],$fot(complement(join(top,B)))]]) ).

cnf(refute_0_656,plain,
    ( zero != join(meet(zero,B),complement(join(top,B)))
    | zero = complement(join(top,B)) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,B),complement(join(top,B))),complement(join(top,B))) )],[refute_0_654,refute_0_655]) ).

cnf(refute_0_657,plain,
    zero = complement(join(top,B)),
    inference(resolve,[$cnf( $equal(zero,join(meet(zero,B),complement(join(top,B)))) )],[refute_0_586,refute_0_656]) ).

cnf(refute_0_658,plain,
    ( zero != complement(join(top,B))
    | complement(join(top,B)) = zero ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(zero)),bind(Y,$fot(complement(join(top,B))))]]) ).

cnf(refute_0_659,plain,
    complement(join(top,B)) = zero,
    inference(resolve,[$cnf( $equal(zero,complement(join(top,B))) )],[refute_0_657,refute_0_658]) ).

cnf(refute_0_660,plain,
    complement(join(top,X_62)) = zero,
    inference(subst,[],[refute_0_659:[bind(B,$fot(X_62))]]) ).

cnf(refute_0_661,plain,
    join(complement(join(top,X_62)),complement(X_50)) = join(complement(join(top,X_62)),complement(X_50)),
    introduced(tautology,[refl,[$fot(join(complement(join(top,X_62)),complement(X_50)))]]) ).

cnf(refute_0_662,plain,
    ( complement(join(top,X_62)) != zero
    | join(complement(join(top,X_62)),complement(X_50)) != join(complement(join(top,X_62)),complement(X_50))
    | join(complement(join(top,X_62)),complement(X_50)) = join(zero,complement(X_50)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X_62)),complement(X_50)),join(complement(join(top,X_62)),complement(X_50))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_663,plain,
    ( complement(join(top,X_62)) != zero
    | join(complement(join(top,X_62)),complement(X_50)) = join(zero,complement(X_50)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,X_62)),complement(X_50)),join(complement(join(top,X_62)),complement(X_50))) )],[refute_0_661,refute_0_662]) ).

cnf(refute_0_664,plain,
    join(complement(join(top,X_62)),complement(X_50)) = join(zero,complement(X_50)),
    inference(resolve,[$cnf( $equal(complement(join(top,X_62)),zero) )],[refute_0_660,refute_0_663]) ).

cnf(refute_0_665,plain,
    ( join(complement(join(top,X_62)),complement(X_50)) != join(zero,complement(X_50))
    | join(zero,complement(X_50)) != complement(X_50)
    | join(complement(join(top,X_62)),complement(X_50)) = complement(X_50) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(complement(join(top,X_62)),complement(X_50)))),bind(Y,$fot(join(zero,complement(X_50)))),bind(Z,$fot(complement(X_50)))]]) ).

cnf(refute_0_666,plain,
    ( join(zero,complement(X_50)) != complement(X_50)
    | join(complement(join(top,X_62)),complement(X_50)) = complement(X_50) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,X_62)),complement(X_50)),join(zero,complement(X_50))) )],[refute_0_664,refute_0_665]) ).

cnf(refute_0_667,plain,
    join(complement(join(top,X_62)),complement(X_50)) = complement(X_50),
    inference(resolve,[$cnf( $equal(join(zero,complement(X_50)),complement(X_50)) )],[refute_0_582,refute_0_666]) ).

cnf(refute_0_668,plain,
    join(X_62,join(complement(join(top,X_62)),complement(X_50))) = join(X_62,join(complement(join(top,X_62)),complement(X_50))),
    introduced(tautology,[refl,[$fot(join(X_62,join(complement(join(top,X_62)),complement(X_50))))]]) ).

cnf(refute_0_669,plain,
    ( join(X_62,join(complement(join(top,X_62)),complement(X_50))) != join(X_62,join(complement(join(top,X_62)),complement(X_50)))
    | join(complement(join(top,X_62)),complement(X_50)) != complement(X_50)
    | join(X_62,join(complement(join(top,X_62)),complement(X_50))) = join(X_62,complement(X_50)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_62,join(complement(join(top,X_62)),complement(X_50))),join(X_62,join(complement(join(top,X_62)),complement(X_50)))) ),[1,1],$fot(complement(X_50))]]) ).

cnf(refute_0_670,plain,
    ( join(complement(join(top,X_62)),complement(X_50)) != complement(X_50)
    | join(X_62,join(complement(join(top,X_62)),complement(X_50))) = join(X_62,complement(X_50)) ),
    inference(resolve,[$cnf( $equal(join(X_62,join(complement(join(top,X_62)),complement(X_50))),join(X_62,join(complement(join(top,X_62)),complement(X_50)))) )],[refute_0_668,refute_0_669]) ).

cnf(refute_0_671,plain,
    join(X_62,join(complement(join(top,X_62)),complement(X_50))) = join(X_62,complement(X_50)),
    inference(resolve,[$cnf( $equal(join(complement(join(top,X_62)),complement(X_50)),complement(X_50)) )],[refute_0_667,refute_0_670]) ).

cnf(refute_0_672,plain,
    join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) = join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))),
    introduced(tautology,[refl,[$fot(join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))))]]) ).

cnf(refute_0_673,plain,
    ( join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) != join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))
    | join(X_62,join(complement(join(top,X_62)),complement(X_50))) != join(X_62,complement(X_50))
    | join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) = join(X_50,join(X_62,complement(X_50))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))),join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))) ),[1,1],$fot(join(X_62,complement(X_50)))]]) ).

cnf(refute_0_674,plain,
    ( join(X_62,join(complement(join(top,X_62)),complement(X_50))) != join(X_62,complement(X_50))
    | join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) = join(X_50,join(X_62,complement(X_50))) ),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))),join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))) )],[refute_0_672,refute_0_673]) ).

cnf(refute_0_675,plain,
    join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) = join(X_50,join(X_62,complement(X_50))),
    inference(resolve,[$cnf( $equal(join(X_62,join(complement(join(top,X_62)),complement(X_50))),join(X_62,complement(X_50))) )],[refute_0_671,refute_0_674]) ).

cnf(refute_0_676,plain,
    ( join(X_50,join(X_62,complement(X_50))) != join(top,X_62)
    | join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) != join(X_50,join(X_62,complement(X_50)))
    | join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) = join(top,X_62) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))))),bind(Y,$fot(join(X_50,join(X_62,complement(X_50))))),bind(Z,$fot(join(top,X_62)))]]) ).

cnf(refute_0_677,plain,
    ( join(X_50,join(X_62,complement(X_50))) != join(top,X_62)
    | join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) = join(top,X_62) ),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))),join(X_50,join(X_62,complement(X_50)))) )],[refute_0_675,refute_0_676]) ).

cnf(refute_0_678,plain,
    join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) = join(top,X_62),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_62,complement(X_50))),join(top,X_62)) )],[refute_0_332,refute_0_677]) ).

cnf(refute_0_679,plain,
    ( join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))) != join(top,X_62)
    | top != join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))
    | top = join(top,X_62) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))) ),[1],$fot(join(top,X_62))]]) ).

cnf(refute_0_680,plain,
    ( top != join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))
    | top = join(top,X_62) ),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50)))),join(top,X_62)) )],[refute_0_678,refute_0_679]) ).

cnf(refute_0_681,plain,
    top = join(top,X_62),
    inference(resolve,[$cnf( $equal(top,join(X_50,join(X_62,join(complement(join(top,X_62)),complement(X_50))))) )],[refute_0_324,refute_0_680]) ).

cnf(refute_0_682,plain,
    ( top != join(top,X_62)
    | join(top,X_62) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_62)))]]) ).

cnf(refute_0_683,plain,
    join(top,X_62) = top,
    inference(resolve,[$cnf( $equal(top,join(top,X_62)) )],[refute_0_681,refute_0_682]) ).

cnf(refute_0_684,plain,
    join(top,composition(B,top)) = top,
    inference(subst,[],[refute_0_683:[bind(X_62,$fot(composition(B,top)))]]) ).

cnf(refute_0_685,plain,
    ( composition(join(one,join(one,B)),top) != join(top,composition(B,top))
    | join(top,composition(B,top)) != top
    | composition(join(one,join(one,B)),top) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(one,B)),top),top) ),[0],$fot(join(top,composition(B,top)))]]) ).

cnf(refute_0_686,plain,
    ( composition(join(one,join(one,B)),top) != join(top,composition(B,top))
    | composition(join(one,join(one,B)),top) = top ),
    inference(resolve,[$cnf( $equal(join(top,composition(B,top)),top) )],[refute_0_684,refute_0_685]) ).

cnf(refute_0_687,plain,
    ( composition(join(join(one,one),B),top) != join(top,composition(B,top))
    | composition(join(one,join(one,B)),top) = top ),
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,B)),top),join(top,composition(B,top))) )],[refute_0_271,refute_0_686]) ).

cnf(refute_0_688,plain,
    composition(join(one,join(one,B)),top) = top,
    inference(resolve,[$cnf( $equal(composition(join(join(one,one),B),top),join(top,composition(B,top))) )],[refute_0_262,refute_0_687]) ).

cnf(refute_0_689,plain,
    composition(join(one,join(one,complement(one))),top) = top,
    inference(subst,[],[refute_0_688:[bind(B,$fot(complement(one)))]]) ).

cnf(refute_0_690,plain,
    top = join(one,complement(one)),
    inference(subst,[],[def_top_12:[bind(A,$fot(one))]]) ).

cnf(refute_0_691,plain,
    ( top != join(one,complement(one))
    | join(one,complement(one)) = top ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(one))))]]) ).

cnf(refute_0_692,plain,
    join(one,complement(one)) = top,
    inference(resolve,[$cnf( $equal(top,join(one,complement(one))) )],[refute_0_690,refute_0_691]) ).

cnf(refute_0_693,plain,
    ( composition(join(one,join(one,complement(one))),top) != top
    | join(one,complement(one)) != top
    | composition(join(one,top),top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,complement(one))),top),top) ),[0,0,1],$fot(top)]]) ).

cnf(refute_0_694,plain,
    ( composition(join(one,join(one,complement(one))),top) != top
    | composition(join(one,top),top) = top ),
    inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_692,refute_0_693]) ).

cnf(refute_0_695,plain,
    composition(join(one,top),top) = top,
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,complement(one))),top),top) )],[refute_0_689,refute_0_694]) ).

cnf(refute_0_696,plain,
    join(X_61,join(complement(X_61),converse(complement(converse(complement(X_61)))))) = join(top,converse(complement(converse(complement(X_61))))),
    inference(subst,[],[refute_0_286:[bind(X_50,$fot(X_61)),bind(X_52,$fot(converse(complement(converse(complement(X_61))))))]]) ).

cnf(refute_0_697,plain,
    converse(top) = join(complement(X_61),converse(complement(converse(complement(X_61))))),
    inference(subst,[],[refute_0_434:[bind(X_17,$fot(complement(X_61)))]]) ).

cnf(refute_0_698,plain,
    ( converse(top) != join(complement(X_61),converse(complement(converse(complement(X_61)))))
    | join(complement(X_61),converse(complement(converse(complement(X_61))))) = converse(top) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_61),converse(complement(converse(complement(X_61)))))))]]) ).

cnf(refute_0_699,plain,
    join(complement(X_61),converse(complement(converse(complement(X_61))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(complement(X_61),converse(complement(converse(complement(X_61)))))) )],[refute_0_697,refute_0_698]) ).

cnf(refute_0_700,plain,
    ( join(X_61,join(complement(X_61),converse(complement(converse(complement(X_61)))))) != join(top,converse(complement(converse(complement(X_61)))))
    | join(complement(X_61),converse(complement(converse(complement(X_61))))) != converse(top)
    | join(X_61,converse(top)) = join(top,converse(complement(converse(complement(X_61))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_61,join(complement(X_61),converse(complement(converse(complement(X_61)))))),join(top,converse(complement(converse(complement(X_61)))))) ),[0,1],$fot(converse(top))]]) ).

cnf(refute_0_701,plain,
    ( join(X_61,join(complement(X_61),converse(complement(converse(complement(X_61)))))) != join(top,converse(complement(converse(complement(X_61)))))
    | join(X_61,converse(top)) = join(top,converse(complement(converse(complement(X_61))))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_61),converse(complement(converse(complement(X_61))))),converse(top)) )],[refute_0_699,refute_0_700]) ).

cnf(refute_0_702,plain,
    join(X_61,converse(top)) = join(top,converse(complement(converse(complement(X_61))))),
    inference(resolve,[$cnf( $equal(join(X_61,join(complement(X_61),converse(complement(converse(complement(X_61)))))),join(top,converse(complement(converse(complement(X_61)))))) )],[refute_0_696,refute_0_701]) ).

cnf(refute_0_703,plain,
    converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))),
    inference(subst,[],[refute_0_126:[bind(A,$fot(converse(top))),bind(B,$fot(meet(zero,converse(complement(converse(top))))))]]) ).

cnf(refute_0_704,plain,
    X_32 = join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(join(complement(X_32),converse(complement(converse(complement(X_32))))))),
    inference(subst,[],[refute_0_126:[bind(A,$fot(X_32)),bind(B,$fot(converse(complement(converse(complement(X_32))))))]]) ).

cnf(refute_0_705,plain,
    converse(top) = join(complement(X_32),converse(complement(converse(complement(X_32))))),
    inference(subst,[],[refute_0_434:[bind(X_17,$fot(complement(X_32)))]]) ).

cnf(refute_0_706,plain,
    ( converse(top) != join(complement(X_32),converse(complement(converse(complement(X_32)))))
    | join(complement(X_32),converse(complement(converse(complement(X_32))))) = converse(top) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_32),converse(complement(converse(complement(X_32)))))))]]) ).

cnf(refute_0_707,plain,
    join(complement(X_32),converse(complement(converse(complement(X_32))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(complement(X_32),converse(complement(converse(complement(X_32)))))) )],[refute_0_705,refute_0_706]) ).

cnf(refute_0_708,plain,
    ( X_32 != join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(join(complement(X_32),converse(complement(converse(complement(X_32)))))))
    | join(complement(X_32),converse(complement(converse(complement(X_32))))) != converse(top)
    | X_32 = join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(converse(top))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(join(complement(X_32),converse(complement(converse(complement(X_32)))))))) ),[1,1,0],$fot(converse(top))]]) ).

cnf(refute_0_709,plain,
    ( X_32 != join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(join(complement(X_32),converse(complement(converse(complement(X_32)))))))
    | X_32 = join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(converse(top))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_32),converse(complement(converse(complement(X_32))))),converse(top)) )],[refute_0_707,refute_0_708]) ).

cnf(refute_0_710,plain,
    X_32 = join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(converse(top))),
    inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(join(complement(X_32),converse(complement(converse(complement(X_32)))))))) )],[refute_0_704,refute_0_709]) ).

cnf(refute_0_711,plain,
    join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(converse(top))) = join(complement(converse(top)),meet(X_32,converse(complement(converse(complement(X_32)))))),
    inference(subst,[],[refute_0_5:[bind(A,$fot(complement(converse(top)))),bind(B,$fot(meet(X_32,converse(complement(converse(complement(X_32)))))))]]) ).

cnf(refute_0_712,plain,
    ( X_32 != join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(converse(top)))
    | join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(converse(top))) != join(complement(converse(top)),meet(X_32,converse(complement(converse(complement(X_32))))))
    | X_32 = join(complement(converse(top)),meet(X_32,converse(complement(converse(complement(X_32)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_32,join(complement(converse(top)),meet(X_32,converse(complement(converse(complement(X_32))))))) ),[0],$fot(join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(converse(top))))]]) ).

cnf(refute_0_713,plain,
    ( X_32 != join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(converse(top)))
    | X_32 = join(complement(converse(top)),meet(X_32,converse(complement(converse(complement(X_32)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(converse(top))),join(complement(converse(top)),meet(X_32,converse(complement(converse(complement(X_32))))))) )],[refute_0_711,refute_0_712]) ).

cnf(refute_0_714,plain,
    X_32 = join(complement(converse(top)),meet(X_32,converse(complement(converse(complement(X_32)))))),
    inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,converse(complement(converse(complement(X_32))))),complement(converse(top)))) )],[refute_0_710,refute_0_713]) ).

cnf(refute_0_715,plain,
    zero = join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero)))))),
    inference(subst,[],[refute_0_714:[bind(X_32,$fot(zero))]]) ).

cnf(refute_0_716,plain,
    ( complement(zero) != top
    | zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
    | zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).

cnf(refute_0_717,plain,
    ( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
    | zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_253,refute_0_716]) ).

cnf(refute_0_718,plain,
    zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
    inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) )],[refute_0_715,refute_0_717]) ).

cnf(refute_0_719,plain,
    ( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
    | join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = zero ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(zero)),bind(Y,$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))]]) ).

cnf(refute_0_720,plain,
    join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = zero,
    inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_718,refute_0_719]) ).

cnf(refute_0_721,plain,
    ( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))
    | join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != zero
    | converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))) ),[1,1,0],$fot(zero)]]) ).

cnf(refute_0_722,plain,
    ( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))
    | converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),zero) )],[refute_0_720,refute_0_721]) ).

cnf(refute_0_723,plain,
    converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),
    inference(resolve,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))) )],[refute_0_703,refute_0_722]) ).

cnf(refute_0_724,plain,
    join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).

cnf(refute_0_725,plain,
    ( complement(zero) != top
    | join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))
    | join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_726,plain,
    ( complement(zero) != top
    | join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_724,refute_0_725]) ).

cnf(refute_0_727,plain,
    join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_253,refute_0_726]) ).

cnf(refute_0_728,plain,
    join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),
    inference(subst,[],[refute_0_5:[bind(A,$fot(complement(zero))),bind(B,$fot(meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).

cnf(refute_0_729,plain,
    ( join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
    | join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) != join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))
    | join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)))),bind(Y,$fot(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))))),bind(Z,$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))))]]) ).

cnf(refute_0_730,plain,
    ( join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
    | join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_728,refute_0_729]) ).

cnf(refute_0_731,plain,
    join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
    inference(resolve,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_727,refute_0_730]) ).

cnf(refute_0_732,plain,
    ( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))
    | join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
    | converse(top) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) ),[0],$fot(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)))]]) ).

cnf(refute_0_733,plain,
    ( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))
    | converse(top) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_731,refute_0_732]) ).

cnf(refute_0_734,plain,
    converse(top) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))) )],[refute_0_723,refute_0_733]) ).

cnf(refute_0_735,plain,
    meet(zero,converse(top)) = zero,
    inference(subst,[],[refute_0_647:[bind(B,$fot(converse(top)))]]) ).

cnf(refute_0_736,plain,
    meet(converse(top),zero) = meet(zero,converse(top)),
    inference(subst,[],[refute_0_514:[bind(X_6,$fot(zero)),bind(X_7,$fot(converse(top)))]]) ).

cnf(refute_0_737,plain,
    ( meet(converse(top),zero) != meet(zero,converse(top))
    | meet(zero,converse(top)) != zero
    | meet(converse(top),zero) = zero ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(meet(converse(top),zero))),bind(Y,$fot(meet(zero,converse(top)))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_738,plain,
    ( meet(zero,converse(top)) != zero
    | meet(converse(top),zero) = zero ),
    inference(resolve,[$cnf( $equal(meet(converse(top),zero),meet(zero,converse(top))) )],[refute_0_736,refute_0_737]) ).

cnf(refute_0_739,plain,
    meet(converse(top),zero) = zero,
    inference(resolve,[$cnf( $equal(meet(zero,converse(top)),zero) )],[refute_0_735,refute_0_738]) ).

cnf(refute_0_740,plain,
    meet(zero,converse(complement(converse(top)))) = zero,
    inference(subst,[],[refute_0_647:[bind(B,$fot(converse(complement(converse(top)))))]]) ).

cnf(refute_0_741,plain,
    meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),meet(zero,converse(complement(converse(top))))),
    introduced(tautology,[refl,[$fot(meet(converse(top),meet(zero,converse(complement(converse(top))))))]]) ).

cnf(refute_0_742,plain,
    ( meet(converse(top),meet(zero,converse(complement(converse(top))))) != meet(converse(top),meet(zero,converse(complement(converse(top)))))
    | meet(zero,converse(complement(converse(top)))) != zero
    | meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_743,plain,
    ( meet(zero,converse(complement(converse(top)))) != zero
    | meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),zero) ),
    inference(resolve,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),meet(converse(top),meet(zero,converse(complement(converse(top)))))) )],[refute_0_741,refute_0_742]) ).

cnf(refute_0_744,plain,
    meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),zero),
    inference(resolve,[$cnf( $equal(meet(zero,converse(complement(converse(top)))),zero) )],[refute_0_740,refute_0_743]) ).

cnf(refute_0_745,plain,
    ( meet(converse(top),meet(zero,converse(complement(converse(top))))) != meet(converse(top),zero)
    | meet(converse(top),zero) != zero
    | meet(converse(top),meet(zero,converse(complement(converse(top))))) = zero ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(meet(converse(top),meet(zero,converse(complement(converse(top))))))),bind(Y,$fot(meet(converse(top),zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_746,plain,
    ( meet(converse(top),zero) != zero
    | meet(converse(top),meet(zero,converse(complement(converse(top))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),meet(converse(top),zero)) )],[refute_0_744,refute_0_745]) ).

cnf(refute_0_747,plain,
    meet(converse(top),meet(zero,converse(complement(converse(top))))) = zero,
    inference(resolve,[$cnf( $equal(meet(converse(top),zero),zero) )],[refute_0_739,refute_0_746]) ).

cnf(refute_0_748,plain,
    join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).

cnf(refute_0_749,plain,
    ( join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
    | meet(converse(top),meet(zero,converse(complement(converse(top))))) != zero
    | join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_750,plain,
    ( meet(converse(top),meet(zero,converse(complement(converse(top))))) != zero
    | join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,zero) ),
    inference(resolve,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_748,refute_0_749]) ).

cnf(refute_0_751,plain,
    join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,zero),
    inference(resolve,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),zero) )],[refute_0_747,refute_0_750]) ).

cnf(refute_0_752,plain,
    ( join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,zero)
    | join(top,zero) != top
    | join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).

cnf(refute_0_753,plain,
    ( join(top,zero) != top
    | join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top ),
    inference(resolve,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,zero)) )],[refute_0_751,refute_0_752]) ).

cnf(refute_0_754,plain,
    join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top,
    inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_425,refute_0_753]) ).

cnf(refute_0_755,plain,
    ( converse(top) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
    | join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) != top
    | converse(top) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).

cnf(refute_0_756,plain,
    ( converse(top) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
    | converse(top) = top ),
    inference(resolve,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),top) )],[refute_0_754,refute_0_755]) ).

cnf(refute_0_757,plain,
    converse(top) = top,
    inference(resolve,[$cnf( $equal(converse(top),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_734,refute_0_756]) ).

cnf(refute_0_758,plain,
    join(X_61,converse(top)) = join(X_61,converse(top)),
    introduced(tautology,[refl,[$fot(join(X_61,converse(top)))]]) ).

cnf(refute_0_759,plain,
    ( converse(top) != top
    | join(X_61,converse(top)) != join(X_61,converse(top))
    | join(X_61,converse(top)) = join(X_61,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_61,converse(top)),join(X_61,converse(top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_760,plain,
    ( converse(top) != top
    | join(X_61,converse(top)) = join(X_61,top) ),
    inference(resolve,[$cnf( $equal(join(X_61,converse(top)),join(X_61,converse(top))) )],[refute_0_758,refute_0_759]) ).

cnf(refute_0_761,plain,
    join(X_61,converse(top)) = join(X_61,top),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_757,refute_0_760]) ).

cnf(refute_0_762,plain,
    ( join(X_61,converse(top)) != join(X_61,top)
    | join(X_61,converse(top)) != join(top,converse(complement(converse(complement(X_61)))))
    | join(X_61,top) = join(top,converse(complement(converse(complement(X_61))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_61,converse(top)),join(top,converse(complement(converse(complement(X_61)))))) ),[0],$fot(join(X_61,top))]]) ).

cnf(refute_0_763,plain,
    ( join(X_61,converse(top)) != join(top,converse(complement(converse(complement(X_61)))))
    | join(X_61,top) = join(top,converse(complement(converse(complement(X_61))))) ),
    inference(resolve,[$cnf( $equal(join(X_61,converse(top)),join(X_61,top)) )],[refute_0_761,refute_0_762]) ).

cnf(refute_0_764,plain,
    join(top,converse(complement(converse(complement(X_61))))) = top,
    inference(subst,[],[refute_0_683:[bind(X_62,$fot(converse(complement(converse(complement(X_61))))))]]) ).

cnf(refute_0_765,plain,
    ( join(X_61,top) != join(top,converse(complement(converse(complement(X_61)))))
    | join(top,converse(complement(converse(complement(X_61))))) != top
    | join(X_61,top) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_61,top),top) ),[0],$fot(join(top,converse(complement(converse(complement(X_61))))))]]) ).

cnf(refute_0_766,plain,
    ( join(X_61,top) != join(top,converse(complement(converse(complement(X_61)))))
    | join(X_61,top) = top ),
    inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(complement(X_61))))),top) )],[refute_0_764,refute_0_765]) ).

cnf(refute_0_767,plain,
    ( join(X_61,converse(top)) != join(top,converse(complement(converse(complement(X_61)))))
    | join(X_61,top) = top ),
    inference(resolve,[$cnf( $equal(join(X_61,top),join(top,converse(complement(converse(complement(X_61)))))) )],[refute_0_763,refute_0_766]) ).

cnf(refute_0_768,plain,
    join(X_61,top) = top,
    inference(resolve,[$cnf( $equal(join(X_61,converse(top)),join(top,converse(complement(converse(complement(X_61)))))) )],[refute_0_702,refute_0_767]) ).

cnf(refute_0_769,plain,
    join(one,top) = top,
    inference(subst,[],[refute_0_768:[bind(X_61,$fot(one))]]) ).

cnf(refute_0_770,plain,
    composition(join(one,top),top) = composition(join(one,top),top),
    introduced(tautology,[refl,[$fot(composition(join(one,top),top))]]) ).

cnf(refute_0_771,plain,
    ( composition(join(one,top),top) != composition(join(one,top),top)
    | join(one,top) != top
    | composition(join(one,top),top) = composition(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),top),composition(join(one,top),top)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_772,plain,
    ( join(one,top) != top
    | composition(join(one,top),top) = composition(top,top) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),top),composition(join(one,top),top)) )],[refute_0_770,refute_0_771]) ).

cnf(refute_0_773,plain,
    composition(join(one,top),top) = composition(top,top),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_769,refute_0_772]) ).

cnf(refute_0_774,plain,
    ( composition(join(one,top),top) != composition(top,top)
    | composition(join(one,top),top) != top
    | composition(top,top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),top),top) ),[0],$fot(composition(top,top))]]) ).

cnf(refute_0_775,plain,
    ( composition(join(one,top),top) != top
    | composition(top,top) = top ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),top),composition(top,top)) )],[refute_0_773,refute_0_774]) ).

cnf(refute_0_776,plain,
    composition(top,top) = top,
    inference(resolve,[$cnf( $equal(composition(join(one,top),top),top) )],[refute_0_695,refute_0_775]) ).

cnf(refute_0_777,plain,
    $false,
    inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_776,goals_14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : REL015-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jul  8 10:41:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.48/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.65  
% 0.48/0.65  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.55/0.75  
%------------------------------------------------------------------------------